Assignment

Class Exercise-13 Permutation & Combination

1. If 56Pr + 6 : 54Pr + 3 = 30800. then r is

(a) 39 (b) 41 (c) 28 (d) 43

2. If nCx

= 56 and nPx

= 336, then n is equal to

(a) 7 (b) 8 (c) 6 (d) 10

3. In how many ways the letters of the word RAINBOW be arranged?

(a) 5040 (b) 4050 (c) 8040 (d) 6050

4. How many numbers greater than 50000 can be formed with the digits 4, 5, 6, 7 and 8 if no digit being

repeated

(a) 96 (b) 256 (c) 218 (d) 126

5. In how many ways can 10 soldiers stand in two rows having 5 soldiers in each row?

(a) 3628800 (b) 7257600

6. If the maximum number of trials required to open all locks when three are n locks and n keys is 105,

then n =

(a) 13 (b) 14

7. How many arrangements can be made out of the letters of the word COMMITTEE, taken all at a

time, such that the four vowels do not come together?

(a) 12600 (b) 45600

8. How many different words can be made with the letters of the word NAINITAL such that each of

the word begins with L and end with T?

(a) 85 (b) 88

Class Exercise-13

Permutation & Combination

Aptitude and Reasoning Ability

(Amity University, Noida)

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[2]

Class-13 Permutation and Combination

9. How many numbers greater than a million can be formed with the digits 5, 5, 2, 2, 1, 7, 6?

(a) 1320 (b) 1180

10. How many different signals can be given using any number of flags from 5 flags of different colours?

(a) 325 (b) 2030

11. The number of permutations of n different objects taken k at a time, when repetitions are allowed is

(a) k

(b) n

12. Number of natural numbers not exceeding 4321 can be formed with the digits 1, 2, 3, 4 if repetition

is allowed is

(a) 123 (b) 113

13. Number of ways in which the letters of the word RAINBOW be arranged such that N and B are

together is

(a) 2560 (b) 1540

14. Number of even numbers greater than 300 that can be formed with the digits 1, 2, 3, 4, 5 such that

no digit being repeated is

(a) 111 (b) 900

15. There are 6 books of physics, 3 of chemistry and 4 of biology. Number of ways in which these books

be placed on a shelf if the books of the same subject are to be together is

(a) 622080 (b) 888000

16. A person has 5 shirts, 4 coats and 7 ties. Number of ways in which he can wear them is

(a) 100 (b) 140

17. Number of ways in which 15 different books can be arranged on a shelf so that two particular books

shall not be together is

(a) 14 × 15! (b) 13 × 14!

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[3]

Permutation and Combination Class-13

18. How many 6 digit numbers can be formed out of the digits of the number 113226?

(a) 156 (b) 180

19. Number of three digit numbers such that at least one of the digits is 9, if repetitions allowed, is

(a) 252 (b) 648

20. Number of ways in which the letters of the word TAMANNA be arranged is

(a) 120 (b) 420

21. Number of three letter words that can be formed using only vowels but each only once is

(a) 100 (b) 50

22. Number of 3 digit numbers that can be formed having unit digit as zero and repetition of digit is

allowed, is

(1) 72 (2) 81

(3) 100 (4) 90

23. Number of different words that can be made using the letters of the word HALLUCINATION if all

consonants are together is

(a)

2!2!

      (b)

2!2!

(c)

14!

7! (d)

2!2!

24. Number of ways in which the letters of the word SUCCESSFUL be arranged is

(a)

10!

5! (b)

13!

10!

3! 2! (d)  

10!

3! 2!

25. Number of 6 digit numbers that can be formed using the digit 2 two times and the digit 5 four times

(a) 16 (b) 15

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[4]

Class-13 Permutation and Combination

26. If nC12 = nC8

, then n is equal to

(a) 20 (b) 12

27. The number of possible outcomes when a coin is tossed 6 times is

(a) 36 (b) 64 (c) 12 (d) 32

28. The number of different four digit numbers that can be formed with the digits 2, 3, 4, 7 and using each

digit only once is

(a) 120 (b) 96 (c) 24 (d) 100

29. The sum of the digits in unit place of all the numbers formed with the help of 3, 4, 5 and 6 taken all

at a time is

(a) 432 (b) 108 (c) 36 (d) 18

30. Total number of words formed by 2 vowels and 3 consonants taken from 4 vowels and 5 consonants

is equal to

(a) 60 (b) 120 (c) 7200 (d) 720

31. A five digit number divisible by 3 is to be formed using the numbers 0, 1, 2, 3, 4 and 5 without

repetitions. The total number of ways this can be done is

(a) 216 (b) 600 (c) 240 (d) 3125

32. Every body in a room shakes hands with everybody else. The total number of hand shakes is 66. The

total number of persons in the room is

(a) 11 (b) 12 (c) 13 (d) 14

33. The number of triangles that are formed by choosing the vertices from a set of 12 points, seven of

which lie on the same line is

(a) 105 (b) 15 (c) 175 (d) 185

34. The number of parallelograms that can be formed from a set of four parallel lines intersecting another

set of three parallel lines is

(a) 6 (b) 18 (c) 12 (d) 9

35. The number of ways in which a team of eleven players can be selected from 22 players always

including 2 of them and excluding 4 of them is

(a) 16C11 (b) 16C5

(d) 20C9

36. The number of 5-digit telephone numbers having atleast one of their digits repeated is

(a) 90,000 (b) 10,000 (c) 30,240 (d) 69,760

37. The number of ways in which we can choose a committee from four men and six women so that

the committee includes at least two men and exactly twice as many women as men is

(a) 94 (b) 126 (c) 128 (d) None

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Permutation and Combination Class-13

38. The total number of 9 digit numbers which have all different digits is

(a) 10! (b) 9! (c) 9 × 9! (d) 10 × 10!

39. The number of words which can be formed out of the letters of the word ARTICLE, so that vowels

occupy the even place is

(a) 1440 (b) 144 (c) 7! (d) 4C4

× 3C3

40. Given 5 different green dyes, four different blue dyes and three different red dyes, the number of

combinations of dyes which can be chosen taking at least one green and one blue dye is

(a) 3600 (b) 3720 (c) 3800 (d) 3600

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[6]

1. (b) 2. (b) 3. (a) 4. (a) 5. (a)

6. (b) 7. (c) 8. (d) 9. (d) 10. (a)

11. (b) 12. (c) 13. (d) 14. (a) 15. (a)

16. (b) 17. (b) 18. (b) 19. (a) 20. (b)

21. (c) 22. (d) 23. (a) 24. (c) 25. (b)

26. (a) 27. (b) 28. (c) 29. (b) 30. (c)

31. (a) 32. (b) 33. (d) 34. (b) 35. (c)

36. (d) 37. (a) 38. (c) 39. (b) 40. (b)

AN S W E R S

Class Exercise-13

Permutation & Combination

Aptitude and Reasoning Ability

(Amity University, Noida)

AMITY INSTITUTE

Amity University, D-Block, 1st Floor, Room No. 109, Sector – 125, Noida.

Ph: 0120-4392463, 9110115040, 9818750084.

AVERAGE CLASS-13

Average of first 10 natural numbers =

(a) 5 (b) 6

2. The average age of three boys is 15 years. If their ages are in the ratio 3 : 5 : 7, the age of the

youngest boy is :

(a) 9 years (b) 15 years

3. The average of ages of 10 persons in a club was 32. What should be the age of the new person joining

in the club so as to increase the average by 4?

(a) 68 (b) 70

4. The average weight of the teacher and six students is 12 kg which is reduced by 5 kg if the weight

of the teacher is excluded. How much does the teacher weigh ?

(a) 40 (b) 42

5. The average age of 40 students in a class is 15 years. If the age of teacher is also included, the

average becomes 16 years, find the age of the teacher.

(a) 50 (b) 52

6. Average age of 9 members of a club is 29 years. If 2 more persons with the average age of 40 years

have become the members of the club, find average age of all the 11 members.

(a) 29 (b) 30

Class Exercise-15

AVERAGE

Aptitude and Reasoning Ability

(Amity University, Noida)

AMITY INSTITUTE

Amity University, D-Block, 1st

Floor, Room No. 109, Sector – 125, Noida.

Ph: 0120-4392463, 9110115040, 9818750084.

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[2]

Class-15 Average

7. Average age of 18 men is decreased by 1 year when one man whose age is 49 years is replaced

by a new man. Find age of the new man.

(a) 29 (b) 31

8. The average weight of 12 persons is 50 kg. On replacing a man whose weight is 53 kg. with a new

man, new average becomes 49 kg. The weight of the new man is:

(a) 35 (b) 37

9. The average age of 12 men in a group is increased by 2 years when two men whose ages are 20

years and 22 years, are replaced by new members. What is the average age of the new men included?

(a) 35 (b) 33

10. Average age of 7 members of a family is 29 years. If present age of the youngest member is 5 years,

find average age of the remaining members at the time of birth of the youngest member.

(a) 24 (b) 26

11. Average weight of 8 persons is 48 kg. If one man weighing 34 kg, is died, what is a average age of

the remaining 7 persons.

(a) 50 (b) 52

12. The average expenditure of a man for 10 days is Rs. 45 per day. If his average expenditure for the

first 3 days is Rs. 52 per day, find his average expenditure for the remaining 7 days.

(a) 35 (b) 37

13. The average weight of the students of a class is 40 kgs. 5 new students with the average weight of

46 kgs having joined the class, the average weight of the class is increased by 2 kg. Find the number

of students in the class originally?

(a) 10 (b) 12

14. Average temperature from to of a month is and that from to is . What is the temperature on , if

temperature on is ?

(a) 35 (b) 37

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Average Class-15

15. The average of 11 observations is 72. If average of first 6 observations is 70 and that of last 6

observations is 71, then the 6th observation is:

(a) 51 (b) 54

16. Average expenditure of a person for the first 3 days of a week is Rs. 350 and for the next 4 days

is Rs. 420. Average expenditure of the man for the whole week is:

(a) 350 (b) 370

17. 11 friends went to a hotel and decided to pay the bill amount equally. But 10 of them could pay

Rs. 60 each as a result 11th has to pay Rs. 50 extra than his share. Find the amount paid by him.

(a) 110 (b) 111

18. The average marks obtained by some students in an examination is 54. If 20% of the students got a

mean score of 90 marks and the 30% of the students got a mean score of 20. Find the average marks

of the remaining students.

(a) 60 (b) 62

19. The average temperature of Monday, Tuesday, Wednesday and Thursday was 38° and that of

Tuesday, Wednesday, Thursday and Friday was 40°. If the temperature on Monday was 30°, the

temperature of Friday was :

(a) 40° (b) 39°

20. A shop keeper earned Rs.504 in 12 days. His average income for the first four days was Rs.40 a

day. His average income for the remaining days is :

(a) Rs.40 (b) Rs.42

21. A man whose bowling average is 12.4 takes 5 wickets for 26 runs and there by decreases his average

by 0.4. The number of wickets taken by him before his last match is:

(a) 85 (b) 78

22. The average of weight of three men A,B and C is 84 kg. Another man D joins the group and the

average now becomes 80 kg. If another man E, whose weight is 3 kg.more than that of D, replaces

A, then the average weight of B,C,D and E becomes 79 kg. The weight of A is :

(a) 70 kg (b) 72 kg

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Class-15 Average

23. The average age of A,B,C,D five years ago was 45 years. By including X, the present average age

of all the five is 49 years. The present age of X is :

(a) 64 years (b) 48 years

24. The average age of 24 students in a class is 10. If the teacher's age is including, the average increases

by one. The age of the teacher is :

(a) 25 years (b) 30 years

25. The average of marks obtained by 120 candidates was 35. If the average of marks of passed

candidates was 39 and that of failed candidates was 15, the number of candidates who passed the

examination is :

(a) 100 (b) 110

26. The average expenditure of a man for the first five months is Rs.120 and for the next seven months

it is Rs.130. If he saves Rs.290 in that year, his monthly average income is :

(a) Rs.140 (b) Rs.150

27. The average salary of 20 workers in an office is Rs.1900 per month. If the manager's salary is added,

the average salary becomes Rs.2000 p.m. What is the manager's annual salary?

(a) Rs.24,000 (b) Rs.25,200

28. The average weight of a class of 40 students is 40 kg. If the weight of the teacher is included, the

average weight increases by 500 gms. The weight of the teacher is :

(a) 40.5 kg (b) 60 kg

29. The average weight of 8 men is increased by 2 kg when one of the men, whose weight is 50 kg is

replaced by a new man. The weight of the new man is :

(a) 52 kg (b) 58 kg

30. The average weight of 8 persons is increased by 2.5 kg, When one of them whose weight is 56 kg

is replaced by a new man. The weight of the new man is :

(a) 66 kg (b) 75 kg

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Average Class-15

31. The average age of an adult class is 40 years. 12 new students with an average of 32 years join the

class, thereby decreasing the average by 4 years. The original strength of the class was :

(a) 10 (b) 11

32. The average of 6 observations is 12. A new seventh observation is included and the new average is

decreased by 1. The seventh observation is :

(a) 1 (b) 3

33. Out of four numbers, the average of first three is 15 and that of the last three is 16. If the last number

is 19, the first is :

(a) 15 (b) 16

34. The average of 10 numbers is calculated as 15. It is discovered later on that while calculating the

average one number, namely 36 was wrongly read as 26. The correct average is :

(a) 12.4 (b) 14

35. The average of 25 results is 18, that of first twelve is 14 and of last twelve is 17. Thirteenth result

is :

(a) 28 (b) 72

36. A man goes to a place at the rate of 4 kmph. He comes back on a bicycle at 16 kmph. His average

speed for the entire journey is :

(a) 5 km/hr

(b) 6.4 km/hr

(d) 10 km/hr.

37. The average temperature of the first three days is 27°C and that of the next three days is 29°C. If

the average of the whole week is 28.5°C, the temperature of the last day of the week is :

(a) 10.5°C (b) 21°C

38. The average age of 30 students in a class is 12 years. The average age of a group of 5 of the students

is 10 years and that of another group of 5 of them is 14 years. The average of the remaining students

is :

(a) 8 years (b) 10 years

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[6]

Class-15 Average

39. The average of 8 numbers is 21. If each of the number is multiplied by 8, the average of the new

set of numbers is :

(a) 8 (b) 21

40. The average of 50 numbers id 38. If two numbers, namely 45 and 55 are discarded, the average of

the remaining numbers is :

(a) 36.5 (b) 37.0

41. The average height of 30 girls out of a class of 40 is 160 cm. and that of the remaining girls is

156 cm. The average height of the whole class is :

(a) 158 cms (b) 158.5 cms

42. A batsman had a certain average of runs for 16 innings. In the 17th innings, he made a score of

87 runs thereby increasing his average by 3. What is his average after 17 innings?

(a) 39 (b) 38

43. Some consecutive natural numbers, starting with 1, are written on the board. Now, one of the numbers

was erased and the average of the remaining numbers is 800/39. Find the number which was erased.

(a) 24 (b) 20

44. Two vessels contain mixture of milk and water in the ratio of 5 : 2 and 3 : 1 respectively. Find the

ratio of milk and water in the new solution, if two mixtures are mixed in equal amount.

(a) 41 : 15 (b) 39 : 17

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[7]

1. (c) 2. (a) 3. (d) 4. (b) 5. (d)

6. (c) 7. (b) 8. (d) 9. (b) 10. (c)

11. (a) 12. (d) 13. (a) 14. (d) 15. (b)

16. (c) 17. (c) 18. (a) 19. (c) 20. (c)

21. (a) 22. (c) 23. (c) 24. (c) 25. (a)

26. (b) 27. (d) 28. (c) 29. (c) 30. (c)

31. (c) 32. (c) 33. (b) 34. (c) 35. (c)

36. (b) 37. (c) 38. (c) 39. (d) 40. (c)

41. (c) 42. (a) 43. (b) 44. (a)

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AREA VOLUME

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1. The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary

of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:

(a) 15360 (b) 153600 (c) 30720 (d) 307200

2. An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated

area of the square is:

(a) 2% (b) 2.02% (c) 4% (d) 4.04%

3. The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm,

what is the length of the rectangle?

(a) 16 cm (b) 18 cm (c) 24 cm (d) Data inadequate

4. The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is:

(a) 40% (b) 42% (c) 44% (d) 46%

5. A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and

rest of the park has been used as a lawn. If the area of the lawn is 2109 sq. m, then what is the width of the road?

(a) 2.91 m (b) 3 m (c) 5.82 m (d) None of these

6. The diagonal of the floor of a rectangular closet is 7

feet. The shorter side of the closet is 4

feet. What is the

area of the closet in square feet?

(a)

(b)

7. A towel, when bleached, was found to have lost 20% of its length and 10% of its breadth. The percentage of

decrease in area is:

(a) 10% (b) 10.08% (c) 20% (d) 28%

8. A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along

the edges?

(a) 20 (b) 24 (c) 30 (d) 33

Class Exercise-11

Mensuration

ASET-Employability & Skill Enhancement Course

(Amity University, Noida)

AMITY INSTITUTE

Amity University, D-Block, 1st Floor, Room No. 109, Sector – 125, Noida.

Ph: 0120-4392463, 9110115040, 9818750084.

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Mathematics (Class -11) ASET

9. The diagonal of a rectangle is 41 cm and its area is 20 sq. cm. The perimeter of the rectangle must be:

(a) 9 cm (b) 18 cm (c) 20 cm (d) 41 cm

10. What is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm

broad?

(a) 814 (b) 820 (c) 840 (d) 844

11. The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is:

(a) 1520 m2

(b) 2420 m2

(d) 2520 m2

12. The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?

(a) 25% increase (b) 50% increase (c) 50% decrease (d) 75% decrease

13. The length of a rectangular plot is 20 metres more than its breadth. If the cost of fencing the plot @ 26.50 per

metre is Rs. 5300, what is the length of the plot in metres?

(a) 40 (b) 50 (c) 120 (d) None of these

14. A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680

sq. feet, how many feet of fencing will be required?

(a) 34 (b) 40 (c) 68 (d) 88

15. A tank is 25 m long, 12 m wide and 6 m deep. The cost of plastering its walls and bottom at 75 paise per sq. m,

is:

(a) Rs. 456 (b) Rs. 458 (c) Rs. 558 (d) Rs. 568

16. A right triangle with sides 3 cm, 4 cm and 5 cm is rotated the side of 3 cm to form a cone. The volume of the cone

so formed is:

(a) 3

12 cm  (b) 3

15 cm  (c) 3

16 cm  (d) 3

20 cm 

17. In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:

(a) 75 cu. m (b) 750 cu. m (c) 7500 cu. m (d) 75000 cu. m

18. A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the

areas of four walls, the volume of the hall is:

(a) 720 (b) 900 (c) 1200 (d) 1800

19. 66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be:

(a) 84 (b) 90 (c) 168 (d) 336

20. A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron

weighs 8 g/cm3

, then the weight of the pipe is:

(a) 3.6 kg (b) 3.696 kg (c) 36 kg (d) 36.9 kg

21. A boat having a length 3 m and breadth 2 m is floating on a lake. The boat sinks by 1 cm when a man gets on it.

The mass of the man is:

(a) 12 kg (b) 60 kg (c) 72 kg (d) 96 kg

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ASET Mathematics (Class -11)

22. 50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of

water by a man is 4 m3

, then the rise in the water level in the tank will be:

(a) 20 cm (b) 25 cm (c) 35 cm (d) 50 cm

23. The slant height of a right circular cone is 10 m and its height is 8 m. Find the area of its curved surface.

(a) 2

30 m (b) 2

40 m (c) 2

60 m (d) 2

80 m

24. A cistern 6m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:

(a) 49 m2

(b) 50 m2

(d) 55 m2

25. A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut

off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m3) is:

(a) 4830 (b) 5120 (c) 6420 (d) 8960

26. The curved surface area of a cylindrical pillar is 264 m2

and its volume is 924 m3

. Find the ratio of its diameter to

its height.

(a) 3 : 7 (b) 7 : 3 (c) 6 : 7 (d) 7 : 6

27. A cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. The

thickness of the bottom is:

(a) 90 cm (b) 1 dm (c) 1 m (d) 1.1 cm

28. What is the total surface area of a right circular cone of height 14 cm and base radius 7 cm?

(a) 344.35 cm2

(b) 462 cm2

(d) None of these

29. A large cube is formed from the material obtained by melting three smaller cubes of 3, 4 and 5 cm side. What is

the ratio of the total surface areas of the smaller cubes and the large cube?

(a) 2 : 1 (b) 3 : 2 (c) 25 : 18 (d) 27 : 20

30. How many bricks, each measuring 25 cm × 11.25 cm × 6 cm, will be needed to build a wall of

8 m × 6 m × 22.5 cm?

(a) 5600 (b) 6000 (c) 6400 (d) 7200



AREA VOLUME

1. (b) 2. (d) 3. (b) 4. (c) 5. (b)

6. (c) 7. (d) 8. (c) 9. (b) 10. (a)

11. (d) 12. (b) 13. (d) 14. (d) 15. (c)

16. (a) 17. (b) 18. (c) 19. (a) 20. (b)

21. (b) 22. (b) 23. (c) 24. (a) 25. (b)

26. (b) 27. (b) 28. (c) 29. (c) 30. (c)

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RATIO & PROPOTION

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1. The ratio of age of A and B is x : y. If A’s age is

increased by 3 years and B’s age is increased by

2 years then new ratio of their ages becomes 24 :

25. Given that the sum of their actual ages is 93

years. Find the actual ratio of their ages.

(a) 21 : 22

(b) 42 : 45

(d) Can’t be determined

2. The LCM of two numbers is 210 and their ratio is

2 : 3. The sum of these numbers is

(a) 210

(b) 175

(d) Can’t be determined

3. In a wallet the ratio of 25 paise, 50 paise and Re 1

coins are in the ratio of 12 : 4 : 3, which amounts

to Rs. 600. Find the number of coins of 25 paise

(a) 200 (b) 225

4. The ratio of prices of Cello and Rotomac pens in

2000 were in the ratio of 3 : 5. In 2005 the price of

Cello pen trebles itself and the price of Rotomac

pen is increased by Rs. 100, then the new ratio of

prices of the same pens becomes 4 : 5. What was

the original price of the Rotomac pen in 2000?

(a) Rs. 60 (b) Rs. 80

5. Sachin bought 1.5 kg fresh grapes. The ratio of

water is to pulp was 4 : 1. When his naughty child

crused these grapes, then some water get wasted.

Now the ratio of water is to pulp is 3 : 2. What is

the total amount of the crushed grapes?

(a) 0.5 kg (b) 1 kg

6. The ratio of age between A and B is 6 : 5 and the

age of each C and D is

10 times that of B. Age of

F is less than A but greater than B. The ratio of

ages between B and E is 2 : 3 also age of A is 3

years less than E. What is the ratio of ages of A

and F if all the ages are in integers?

(a) 12 : 11 (b) 9 : 7

7. A contractor undertook to do a certain piece of

work in 9 days. He employed certain number of

labourers but 6 of then being absent from the very

first day, the rest could finish the work in 15 days.

The number of men originally employed were

(a) 12 (b) 15

8. In a family there were n people. The expenditure

of rice per month in this family is directly

proportional to the 5 times the square of number

of people in the family. If the elder son left the

family to study in USA there was decrease in

consumption of 95 kg rice per month. What is the

value of n?

(a) 5 (b) 12

Class Exercise-3A

Ratio & Proportion, Mixture Solutions

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9. If

a b c

b c c a a b

 

  

and a + b + c  0 then

the value of

a b c  

(a)

(b)

(c)

(d) 1

10. Three persons Amar, Akbar and Anthony agree

to pay their hotel bills in the ratio of 3 : 4 : 5. Amar

pays the first day’s bill which amounts to Rs. 26.65,

Akbar pays the second days bill which amounts to

Rs. 42.75 and C pays the third day’s bill which

amounts to Rs. 53.00. When they settle their

accounts, which of the following happens?

(a) Amar gives Rs. 3 to C

(b) Akbar gives Rs. 2 to Amar

Anthony

(d) None of these

11. Find the third proportional to the numbers 5 and

(a) 20 (b) 2.5

12. A bag contains an equal number of one rupee,

50 paisa and 25 paisa coins respectively. If the

total value is Rs. 35, how many coins of each

types are there?

(a) 20 (b) 16

13. If a : b = c : d, then the value of

2 2

a b

c d



(a)

(b)

a b

c d



(c)

a b

c d



(d)

14. If x : y = 2 : 3, find the value of (3x + 2y) :

(2x + 5y)

(a)

25 (b)

(c)

19 (d)

15. If A : B = 3 : 4, B : C = 8 : 9, C : D = 15 : 16.

Find A : B : C : D

(a) 15 : 20 : 21 : 28 (b) 30 : 40 : 45 : 48

16. A dog pursues a cat and takes 5 leaps for every

6 leaps of the cat, but 4 leaps of the dog are

equal to 5 leaps of the cat. Compare the speeds

of the dog and the car

(a) 15 : 22 (b) 9 : 25

17. What should be subtracted from each of the

numbers 54, 71, 75 and 99, so that they are in

continued proportion?

(a) 9 (b) 7

18. Divide 170 into three parts such that the first

part is 10 more than the second and its ratio

with third part is 2 : 5

(a) 22 : 35 : 113 (b) 35 : 55 : 80

19. A mixture of 729 mL contains milk and water in

the ratio 7 : 2. How much more water is added

to get a new mixture containing milk and water

in the ratio 7 : 3?

(a) 81 mL (b) 72 mL

20. A mixture contains alcohol and water in the ratio

4 : 3. If 8L water is added to the mixture, the

ratio of alcohol and water becomes 3 : 5. Find

the quantity of alcohol in the mixture

(a)

96 L

11 (b)

72 L

(c)

168 L

11 (d) None of these

21. In three vessels of 10 L capacity, mixture of

milk and water is filled. The ratio of milk and

water are 2 : 1, 3 : 1 and 3 : 2 in the respective

vessels. If all the three vessels are emptied into

a single large vessel, find the ratio of milk and

water in the resultant mixture

(a) 121 : 41 (b) 117 : 22

ASET Mathematics (Class -3)

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22. Ratio of boys to the girls in a class is 5 : 4.

Which of the following cannot be the number of

students in the class?

(a) 45 (b) 72

23. The ratio of spirit and water in a mixture is 1 : 3.

If the volume of the solution is increased by

25% by adding spirit only. What is the resultant

ratio of spirit and water?

(a) 2 : 3 (b) 1 : 4

24. In a factory men, women and children were

employed in the ratio 8 : 5 : 1 to finish a job and

their individual wages were in the ratio 5 : 2 : 3.

Total daily wages of all amount of Rs. 318. Find

the total daily wages paid to each category

(a) Rs. 240, 60, 18 (b) Rs. 210, 70, 38

25. An amount of money is to be distributed among

A, B and C in the ratio 5 : 8 : 12 respectively.

If the total share of B and C is four times that

of A. What is A’s share?

(a) Rs. 3000

(b) Rs. 5000

(d) None of these

26. The ratio of the ages of A and B is 5 : 7. If the

difference between the present age of B and

that of A 6 yr hence is 2, then what is the total

of present ages of A and B?

(a) 49 yr (b) 52 yr

27. If there are Rs. 495 in a bag in denominations of

one-rupee, 50 paisa and 25 paisa coins, which

are in the ratio 1 : 8 : 16. How many 50 paisa

coins are there in the bag?

(a) 50 (b) 220

28. Two numbers are in the ratio 3 : 5. If each

number is increased by 10, the ratio becomes

5 : 7. The number are

(a) 3, 5 (b) 7, 9

29. The monthly salary of A, B, C is in the ratio of

2 : 3 : 5. If C’s monthly salary is Rs. 1200 more

than that of A, then B’s annual salary is

(a) Rs. 14400 (b) Rs. 24000

30. The ratio of money with Ram and Rahul is 7 : 17

and that with Rahul and Ajay is 7 : 17. If Ram

has Rs. 490, Ajay has

(a) Rs. 2890 (b) Rs. 2330

31. The students in three classes are in the ratio

2 : 3 : 5. If 20 students are increased in each

class, the ratio changes to 4 : 5 : 7. The total

number of students before the increases were

(a) 10 (b) 90

32. The ratio of the first and second class fares

between two stations is 4 : 1 and that of number

of passengers travelling by first and second class

is 1 : 40. If Rs. 1100 is collected as fare, the

amount collected from first class passenger is

(a) Rs. 275 (b) Rs. 315

33. Rs. 5625 is divided among A, B and C so that

A may receive

as much as B and C together

receive and B receives 1

of what A and C

together receive. The share of A is more than

that of B by

(a) Rs. 750 (b) Rs. 775

34. Gold is 19 times as heavy as water and copper

9 times a heavy as water. In what ratio should

these metal be mixed so that the mixture may be

15 times as heavy as water?

(a) 3 : 2 (b) 9 : 5

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35. The average weekly salary per head of the

entire staff of a factory consisting of supervisors

and the labourers is Rs. 60. The average salary

per head of the supervisors is Rs. 400 and that

of the labourers is Rs. 56. If the number of

supervisors is 12, find the number of labourers in

the factory

(a) 986 (b) 1020

36. A sum of Rs. 41 was divided among 50 boys

and girls. Each boy gets 90 paise and a girl 65

paisa. Find the number of boys and girls

(a) 34, 16 (b) 30, 20

37. Two vessels A and B contain milk and water

mixed in the ratio 5 : 2 and 8 : 5 respectively.

Find the ratio in which these mixtures are to be

mixed to get a new mixture containing milk and

water in the ratio 9 : 4

(a) 5 : 2 (b) 9 : 7

38. Two vessels A and B contain milk and water

mixed in the ratio 5 : 3 and 2 : 3. When these

mixtures are mixed to form a new mixture

containing half milk and half water, they must be

taken in the ratio

(a) 2 : 5 (b) 3 : 5

39. A can contains a mixture of two liquids A and B

in proportion 7 : 5. When 9L of mixture are

drawn off and the can is filled with B, the

proportion of A and B becomes 7 : 9. How many

litres of liquid A was contained by the can

initially?

(a) 25 L (b) 108 L

40. A container contains 240 L of wine. 80 L is

taken out of the container everyday and an

equal quantity of water is put into it. Find the

quantity of the wine that remains in the container

at the end of the fourth day

(a) 39.2 L (b) 32 L

ASET Mathematics (Class -3)

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Class Exercise-3B

Data Interpretation

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Directions for questions 1 to 5: Study the following table carefully and answer the questions given below:

No. of marks obtained by five students in five subjects in an Examination (Total marks in all the five subjects

in each are 200)

1. The total marks obtained by B in English and History together was approximately what percentage of

marks obtained by E in English?

(a) 150 (b) 100

2. Marks obtained by C in History was approximately what percentage of marks obtained by A in

Geography?

(a) 167 (b) 67

3. Who among them secured highest total marks in English, History and Geography?

(a) A (b) B

4. If the minimum pass percentage is 50 in each subject to be declared pass in the examination, how

many of them failed in the examination?

(a) None (b) 2 (c) 1 (d) 3

5. Who among them secured highest total percentage of marks?

(a) A (b) B (c) C (d) E

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Directions for questions 6 to 10: Study the following graph carefully and answer the questions that follow:

Runs scored by three different teams in five different cricket matches

6. Total runs scored by India and Australia in Match 4 together is approximately, what percentage of the

total runs scored by England in all five matches together?

(a) 42 (b) 18 (c) 36 (d) 24

7. In which match, the difference between the runs scored by Australia and England second lowest?

(a) 1 (b) 2 (c) 3 (d) 4

8. In which match the total runs scored by India and England is the third highest/lowest?

(a) 1 (b) 2 (c) 3 (d) 4

9. What is the respective ratio of the runs scored by India in Match 5, Australia in Match 1 and England in

Match 2?

(a) 11 : 13 : 7 (b) 11 : 7 : 13 (c) 11 : 3 : 9 (d) 11 : 13 : 9

10. What was the average runs scored by all the three teams in Match 3 together?

(a) 280 (b) 270 (c) 275 (d) 285

Direction for qustions 11 to 15: Study the following table carefully and answer the questions given below.

Number of tickets sold in a week of five movies in the multiplexes in six different cities (number in thousands)

11. The number of tickets of movie B sold in Hyderabad was approximately, what percent of the total

number of tickets of the same movie sold in all the cities together?

(a) 15 % (b) 18 % (c) 12 % (d) 24 %

ASET Mathematics (Class -3)

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12. What is the difference between the number of tickets of movie D sold in Kolkata and the number of

tickets of movie B sold in Lucknow?

(a) 7500 (b) 7000 (c) 14000 (d) None of the above

13. What is the average number of tickets of movie C sold in all the six cities?

(a) 15500 (b) 2550 (c) 24000 (d) 25500

14. The number of tickets of movie E sold in Chennai is what percent of number of tickets movies A sold in

Mumbai?

(a) 170 (b) 70 (c) 30 (d) 130

15. In which city was the total number of tickets of all the five movies together sold the minimum?

(a) Delhi (b) Chennai (c) Lucknow (d) Kolkata

Directions for questions 16 to 20: Study the given pie-chart and table carefully and answer the questions

given below:

The pie-chart shows the distribution of the total number of students studying medical courses from 6 colleges and

the table shows the ratio of male to female students and the ratio of MBBS to MD students.

16. What is the difference between the number of MBBS students in college A and college E?

(a) 20000 (b) 30000 (c) 40000 (d) 25000

17. What is the ratio of female students of college C to those of college D?

(a) 3 : 2 (b) 5 : 4 (c) None of these (d) 4 : 3

18. What is the number of female students of college E who were studying MBBS?

(a) 24000 (b) None of these (c) 21000 (d) Can’t be determined

19. The number of MD students from college A is what percent more than the number of MBBS students

from college F?

(a) 12% (b) 15% (c) 20% (d) 8%

20. The number of female students in college B is what percent of the number of male students in college E?

(a) 72.5% (b) 77 7/9 % (c) None of these (d) 87.75%

Mathematics (Class -3) ASET

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Direction for questions 21 to 25: The pie-chart shows the total e-books manufactured by banking institution

on different subjects Reasoning, Aptitude, Current Affairs, English and Computer and their sale percentage.

21. What is difference between the number of unsold Aptitude e-books and sold Reasoning e-books?

(a) 1969 (b) 2835 (c) 3478 (d) 2521

22. The number of unsold Reasoning e-books is what percent less than that of unsold Current Affairs

ebooks?

(a) 7.65% (b) 15.25% (c) 10.75% (d) 17.75%

23. The number of Computer e-books sold is what percent more than that of English e-books sold?

(a) 153.84% (b) 141.24% (c) 163.34% (d) 155.94%

24. What is the sum of total number of unsold Current Affairs e-books and sold Aptitude e-books?

(a) 8561 (b) 7721 (c) 9191 (d) 8721

25. What is the total number of unsold e-books of all subjects?

ASET Mathematics (Class -3)

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Directions for questions 26 to 30: Study the following table carefully and answer the questions given below

: Number of students enrolled with five colleges over the years.

26. In 2014, from all colleges together 10% students enrolled went abroad. How many students went abroad?

(a) 324 (b) 236 (c) 211 (d) 412

27. The average number of students enrolled from college H for all the years together is approximately what

percent of the average number of students enrolled from college J for all the years together?

(a) 74% (b) 83% (c) 88% (d) 92%

28. What is the ratio of the average number of students enrolled with all colleges together in 2015 to that in

2016?

(a) 115 : 107 (b) 113 : 117 (c) 105 : 109 (d) 110 : 113

29. In 2013, from all the colleges together an overall 40% of the students enrolled for computer course total

how many students enrolled for this course?

(a) 900 (b) 750 (c) 850 (d) 800

30. If from college H in 2015, 90% of the students enrolled appeared in a competitive examination, out of

w h i c h

75% students passed, how many students passed the examination?

(a) 272 (b) 236 (c) 248 (d) 243

Directions for questions 31 to 35: Study the following table carefully and answer the given questions.

Number of students studying in different standards of different schools.

Schools => P,Q,R,S,T,U

Standards =>III IV V VI VII VIII

31. What is the approximate average number of students studying in standard III from all schools together?

(a) 42 (b) 36 (c) 48 (d) 54

Mathematics (Class -3) ASET

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32. Number of students studying in standard VI from school T is what percent of those studying in standard

VI from school S?

(a) 92.5% (b) 95.65% (c) 86.45% (d) 78.65%

33. Which school has the highest total number of students from all the given standards together?

(a) P (b) Q (c) S (d) U

34. Which standard has the lowest total number of students from all the given schools together?

(a) III (b) IV (c) VI (d) VIII

35. What is the respective ratio of students studying in standard V of school P and Q together to those

studying in standard VIII of schools R and S together?

(a) 103 : 85 (b) 57 : 54 (c) 53 : 52 (d) 89 : 83

Direction for questions 36 to 40: Questions are to be answered on the basis of information available in

the following pie diagrams which represent, percentage share of major cargo carriers in India in 1996. Total

turnovers of domestic and international sector are Rs. 70 crore and Rs. 40 crore respectively.

Others

35%

DTDC

36%

DHL

12%

Air Freight

17%

Domestic (Rs. 70 crore)

Others

25%

DTDC

21%

DHL

13%

Air Freight

41%

International (Rs. 40 crore)

36. What was Air Freight’s turnover (in Rs. crore) in 1996?

(a) 20.8 (b) 24.6

37. What was the difference (in Rs.crore) in DHL’s domestic and international turnover in 1996?

(a) 2.8 (b) 3

38. What was the difference ( in Rs.crore) in DTDC’s domestic turnover and the international turnover

of others?

(a) 15.2 (b) 20.2

39. If 35% of DTDC’s international cargo revenue comes from documents, what is the percent of revenue

that these documents account for from DTDC’s total revenue?

(a) 2.25 (b) 3.75

ASET Mathematics (Class -3)

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40. If Skypak accounts for 8% of the domestic cargo, what percent of the Others category does it account

for (in the domestic cargo sector)?

(a) 18 (b) 20.5

Direction for questions 41 to 45 : Questions are to be answered on the basis of information represented

in the form of bar graph which depicts the yearly earning in Rs. cr. from the two All India Radio channels,

viz. Vividh Bharati and Primary Channel.

(AIR's commercial earnings in Rs. cr)

6.26

12.51

17.55

25.25

43.7

37.3

14.05

2.64

1975-76 1980-81 1985-86 1990-91 1995-96

Year

Earnings

Vividh Bharati

Primary Channel

42. By how many times has AIR’s commercial earnings increased over the given period?

(a) 10.9 (b) 11.9

42. What was the annual percentage increase of AIR’s commercial earnings from 1985-86 to

1995-96?

(a) 25 (b) 27.5

43. What is the deviation of Vividh Bharati’s percentage increase in revenue from 1985-86 to

1995-96 to its percentage increase in revenue from 1975-76 to 1985-86?

(a) 67 (b) –70

44. What was the annual percentage increase in the increase of revenue of the Primary Channel since

its inception?

(a) 20.5 (b) 205

45. If the FM channel contributed Rs. 10 crore in 1995-96, what is the percentage of the remaining

earnings to the total earnings of 1980?

(a) 460 (b) 510

Mathematics (Class -2) ASET

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ANSWER

1. (c) 2. (b) 3. (d) 4. (b) 5. (c)

6. (a) 7. (b) 8. (d) 9. (b) 10. (c)

11. (a) 12. (a) 13. (d) 14. (c) 15. (b)

16. (d) 17. (d) 18. (c) 19. (a) 20. (a)

21. (c) 22. (d) 23. (a) 24. (a) 25. (c)

26. (d) 27. (c) 28. (d) 29. (a) 30. (a)

31. (c) 32. (d) 33. (a) 34. (a) 35. (b)

36. (a) 37. (d) 38. (c) 39. (d) 40. (d)

1. (c) 2. (d) 3. (b) 4. (d) 5. (d)

6. (c) 7. (c) 8. (a) 9. (d) 10. (b)

11. (d) 12. (d) 13. (d) 14. (a) 15. (a)

16. (c) 17. (d) 18. (d) 19. (c) 20. (b)

21. (b) 22. (c) 23. (a) 24. (d) 25. (d)

26. (c) 27. (b) 28. (d) 29. (a) 30. (d)

31. (c) 32. (b) 33. (d) 34. (d) 35. (a)

36. (c) 37. (c) 38. (a) 39. (d) 40. (c)

41. (c) 42. (c) 43. (b) 44. (d) 45. (d)

Class Exercise-3A

Ratio & Proportion, Mixture Solutions

ASET-Employability & Skill Enhancement Course

(Amity University, Noida)

AMITY INSTITUTE

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Ph: 0120-4392463, 9110115040, 9818750084.

----------------------------------------------------------------------------------------------------

====================================================

CODING AND DECODING

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ASET Mathematics (Class -6)

1. In a certain code, INSTITUTION is written as

NOITUTITSNI. How is PERFECTION written in

that code?

(a) NOICTEFREP (b) NOITCEFERP

2. In a certain code, GIGANTIC is written as

GIGTANCI. How is MIRACLES written in that

code?

(a) MIRLCAES (b) MIRLACSE

3. In a certain code, GOODNESS is coded as

HNPCODTR. How is GREATNESS coded in that

code?

(a) HQFZUODTR (b) HQFZUMFRT

4. In a certain code, EXPLAINING is written as

PXEALNIGNI. How is PRODUCED written in

that code?

(a) ORPBUDEC (b) ROPUDECD

5. In a certain code, RIPPLE is written as 613382 and

LIFE is written as 8192. How is PILLER written in

that code?

(a) 318826 (b) 318286

Class Exercise-6

Coding, Decoding and Ranking

ASET-Employability & Skill Enhancement Course

(Amity University, Noida)

6. If ROSE is coded as 6821, CHAIR is coded as

73456 and PREACH is coded as 961473, what will

be the code for SEARCH?

(a) 246173 (b) 214673

7. In a certain code, PRODUCTS is written as

NPMBSARQ. How is COMPREHENSION written

in that code?

(a) AMKNPCFCLOMLQ

(b) AMKNPCFCLQGML

(d) AMKNPCFCKOML

8. In a certain code, BOY is written as $* and

HOUR is written as @*£0. How is RUBY written

in that code?

(a) 0 £ $  (b) 0 $ £ 

9. In a certain code language, QUEUE is written as Q

22, and CHURCH is written as 1UR1. Which of the

following would be most appropriate code for

BANANA in that language?

(a) B5A5 (b) 5N5A

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Mathematics (Class -6) ASET

10. In certain code, BOXER is written as AQWGQ.

How VISIT is written in that code?

(a) UKRKU (b) UKRKS

11. If FESTIVAL is coded as MBWJUTFG, then

OPIUM would be coded as

(a) NOHTL (b) NTHNO

12. If LINGER is 123456 and FORCE is 56789, then

FIERCE is

(a) 345667 (b) 456678

13. If CLOTHES is EXHAUST and THRICE is

STABLE, then SHIRT is

(a) BLUSH (b) STAUL

14. If PICTURE is coded as tuvwxyz, then PATCH

would be coded as

(a) wtzyv (b) twxyz

15. In a code language, if POSE is coded as

OQNPRTDF, then TYPE will be coded as

(a) SUXZOQFD (b) SUXZQOFD

16. If the second half of the following alphabets is

arranged in the reverse order, which letter will be

ninth letter to the right of the ninth letter counting

from the left end?

A B C D E F G H I J K L M N O P Q R S T U

V W X Y Z

(a) I (b) F

17. If the first half of the alphabet is written in the

reverse order, which letter will be exactly midway

between the ninth letter from the left and the tenth

letter from the right end?

A B C D E F G H I J K L M N O P Q R S T U

V W X Y Z

(a) B (b) A

18. If the second half of the following alphabets is

written in the reverse order, which will be the tenth

letter to the left of ninth letter counting from your

right end?

A B C D E F G H I J K L M N O P Q R S T U

V W X Y Z

(a) I (b) C

19. How many 9’s are there in the following number

series which are immediately preceded by 3 and

followed by 6?

3 9 6 9 3 9 3 9 3 9 6 3 6 3 9 5 6 9 5 6 9 3 9 6 3 9

(a) Nil (b) 3

20. In the following number series, how many 8’s are

there which are immediately preceded by a number

which does not divide it but followed by a number

which divides it?

2 8 2 8 3 8 5 8 8 5 3 2 8 2 3 8 4 7 1 5 8 3 8 2 8 6

(a) 1 (b) 2

21. How many pairs of letters are there in the word

‘SEQUENTIAL’ which have as many letters

between them (from both sides) as are in the

alphabet?

(a) Zero (b) Four

22. How many pairs of letters are there in the word

‘CONTEMPORARY’ which have as many letters

between them in the word as in the alphabets?

(a) One (b) Two

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ASET Mathematics (Class -6)

Directions (Q.-23 to Q.-27) : Answer the following

questions based on the letter number sequence given

below :

B 3 K G 5 P D 7 9 E R J I M T 6 Z H Q 3 W 2 A

23. Which of the following letters is exactly in the

middle between the ninth letter / number from the

left end and seventh letter / number from the right

end?

(a) I (b) R

24. Which of the following letters is in the seventh

position to the right of the eighteenth position from

the right end?

(a) I (b) K

25. Three of the following four are alike in a certain

way with regard to their positions in the above

sequence. Which is the one that does not belong to

the other three?

(a) 3GD (b) IR7

26. What should come in place of the question mark (?)

in the following letter / number series with reference

to the above sequence?

3GP, D9R, JM6, ?

(a) ZQW (b) ZHW

27. If the first twelve letters / numbers in the above

sequence are written in the reverse order, which of

the following letter / number will be the 7th letter /

number to the left to 9th letter / number from your

right?

(a) K (b) P

Directions (Q.-28 to Q.-31) : Answer the questions

(47 - 50) based on the following alphabets :

A B C D E F G H I

J K L M N O P Q R

S T U V W X Y Z

28. What will come in place of question mark (?) in the

following sequence?

BZA, DYE, GXI, KWM, ?

(a) OVT (b) NUQ

29. If you pick up from the alphabet, the sixth and the

fourteenth letters from your right and then pick up

the fifth and the twentieth letters from your left and

form a meaningful word, what is the first letter of

that word?

(a) M

(b) E

(d) More than one word can be formed

30. If every letter beginning from ‘B’ is replaced by

consecutive odd number beginning with 3, which

number / letter will be third to the right of the tenth

number / letter counting from your right?

(a) M

(b) S

(d) None of these

31. If the alphabet is written in the reverse order and

every alternate letter starting with Y is dropped,

which letter will be exactly in the middle in the

remaining letters of alphabets?

(a) M

(b) O

(d) N

4 AMITY INSTITUTE FOR COMPETITIVE EXAMINATIONS : Ph. : 24336143/44, 25573111/12/13/14, 95120-2431839/42

Mathematics (Class -6) ASET

32. In a certain language, ‘pre not bis’ means ‘smoking

is harmful’ ‘vog dor not’ means ‘avoid harmful

habit’, and ‘dor bis yel’ means ‘please avoid

smoking’, which of the following means ‘habit’ in

that language?

(a) vog (b) not

33. ‘baw haw daw kaw’ means ‘Poachers killed some

tigers’, ‘vaw gaw jaw haw’ means “Tigers are

brave creatures’, ‘kaw taw maw vaw’ means

‘some watchman were brave’ and ‘maw jaw naw

baw’ means ‘watchman are searching poachers’.

Then, what does ‘kaw baw’ means?

(a) some watchmen (b) brave tigers

34. Using the above coding procedure, ‘creatures killed

watchman’ would be coded as

(a) maw gaw daw (b) maw vaw naw

35. In a code language, ‘mu kay cit’ means ‘very lucky

person’ and ‘dis hu mu’ means ‘fortunate and

lucky’. Which is the word in that language for

‘lucky’?

(a) mu (b) kay

36. In a certain code, ‘bright fresh sunny day’ means

‘cin bin zin hin’, ‘scent of fresh flower’ means ‘din

zin lin bin’, ‘bright light of trucks’ means ‘lin min hin

rin’, ‘trucks loaded with flowers’ means ‘fin nin din

min’. What is the code for ‘bright’ in that language?

(a) cin (b) bin

37. Vijay is ranked 14th in a class of 43. What is his rank

from the bottom?

(a) 30th (b) 28th

38. Jaya ranks 5th in a class of 53. What is her rank

from the bottom in the class?

(a) 49th (b) 48th

39. Dilip’s position from the left in a row of students is

10th and Jagdish’s position is 20th from the right.

Both of them interchange their positions and Jagdish

becomes 23rd from the right. How many students

are there in the row?

(a) 33 (b) 44

40. Jaya’s position from the left in a row of students is

12th and Rekha’s position from the right is 20th

After interchanging their positions, Jaya becomes

22nd from the left. How many students are there in

the row?

(a) 30 (b) 31

41. Samant remembers that his brother’s birthday is

after fifteenth but before eighteenth of Feb, whereas

his sister remembers that her brother’s birthday is

after sixteenth but before nineteenth of Feb. On

which date in Feb. is Samant’s brother’s birthday?

(a) 16th (b) 18th

42. Amit ranks 12th from the top and Ravi is 15th from

the bottom in a class of 35 students. How many

students are there between Amit and Ravi?

(a) 8 (b) 9

43. If Rahul finds that he is 12th from the right in a line

of boys and 4th from the left, how many boys should

be added to the line such that there are 28 boys in

the line?

(a) 12 (b) 14

Directions (Q.-44 to Q.-46) : Questions are based on

the letters used in the word ‘DISOBEDIENCE’.

44. How many sets of two letters are as much apart

from each other as they are in the alphabetical

order?

(a) 1 (b) 2

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ASET Mathematics (Class -6)

45. Is it possible to form a popular word with 2nd, 6th

10th, 11th and 12th letters of the word? If such word

can be formed, which would be the fourth letter of

that word?

(a) I (b) E

46. If the word was to be written in reverse order,

which letter would be exactly in the middle of 9th

letter from the right end and 8th letter from the left

end?

(a) D (b) I

47. In a class, the names of boys are arranged

alphabetically. Gaurva and Saurabh have 14 boys

between them. If Gaurav is 37th from the bottom,

Saurabh would be at what position from the top?

(a) 25th

(b) 28th

(d) Can’t be determined

Directions (Q.-48 to Q.-50) : Read the following

information carefully and answer the questions. Among

A, B, C, D and E. E is taller than D but not as fat as D.

C is taller than A but shorter than B. A is fatter than D

but not as fat as B. E is thinner than C who is thinner

than D. E is shorter than A

48. Who is the most thin person?

(a) B

(b) C

(d) E

49. Who is the big giant among the lot?

(a) A (b) B

50. If all the persons stood in a line according to their

height, who would be in the middle?

(a) A (b) B

Directions (Q.-51 to Q.-54) : Read the information

given below and answer the questions. The age and

height of six children in a class are as follows :

(i) Amit is taller and older than Tanu but shorter and

younger than Shruti.

(ii) Harat is taller than Chander who is not as tall as

Tanu.

(iii) The oldest is the shortest.

(iv) The youngest would be fourth if the children stood

in a line according to their height and one started

counting from the tallest.

(v) Bharat is younger than Ritu but older than Chander

who is older than Shruti.

51. Who among them is the tallest?

(a) Tanu (b) Chander

52. Who is older than Tanu but younger than Shruti?

(a) Ritu (b) Bharat

53. Which of the following statements is definitely true?

(a) Bharat is the most old person

(b) Tanu has the max. height

(d) Ritu is the shortest

54. Which of the following is the correct order of

height in descending order?

(a) Amit, Shruti, Bharat, Tanu, Chander and Ritu

(b) Ritu, Bharat, Chander, Shruti, Amit and Tanu

(d) Shruti, Bharat, Amit, Tanu, Chander and Ritu

6 AMITY INSTITUTE FOR COMPETITIVE EXAMINATIONS : Ph. : 24336143/44, 25573111/12/13/14, 95120-2431839/42

Mathematics (Class -6) ASET

Directions (Q.-55 to Q.-60) : Read the following data

and answer the questions. Six compounds are being tested

for possible use in a new anti-poison, “Sweet ‘N’

Deadly”.

(i) U is sweeter than V and more deadly than Z.

(ii) V is sweeter than Y and less deadly than Z.

(iii) W is less sweet than X and less deadly than U.

(iv) X is less sweet and more deadly than Y.

(v) Y is less sweet and more deadly than U.

(vi) Z is sweeter than U and less deadly than W.

55. Which is the sweetest?

(a) U (b) W

56. Which of the following is (are) both sweeter and

more deadly than V?

(a) U only (b) W only

57. Which of the following adds no new information

about sweetness to the statements that precede it?

(a) i (b) iii

58. Which of the following is/are sweeter than Y and

more deadly than W?

(a) U only (b) V only

59. Which is the least deadly?

(a) U (b) V

60. Which is the most deadly?

(a) Z (b) W

Directions (Q.-61 to Q.-66) : Following questions are

based on the information given below. Read the

information carefully and answer the questions :

(i) Seven students P, Q, R, S, T, U and V take a series

of tests.

(ii) No two students get similar marks.

(iii) V always scores more than P.

(iv) P always scores more than Q.

(v) Each time either R scores the highest and T gets the

least, or alternatively S scores the highest and U or

Q scores the least.

61. If V is ranked fifth, which of these must be true?

(a) S scores the highest (b) R is ranked second

62. If R gets the most, V should be ranked not lower

than :

(a) Second (b) Third

63. If S is ranked second, which of the following can be

true?

(a) P gets more than R

(b) V gets more than S

(d) U gets more than V

64. If S is ranked sixth, and Q is ranked fifth, which of

the following can be true?

(a) V is ranked fifth or fourth

(b) R is ranked second or third

(d) U is ranked third or fourth

65. If R is ranked second and Q is ranked fifth, which

of these must be true?

(a) S is ranked third (b) P is ranked third

66. Information given in which of the statements is

superfluous?

(a) ii

(b) i

(d) None is superfluous

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ASET Mathematics (Class -6)

Directions (Q.-67 to Q.-70) : Read the following

informations and select the best answer choice given in

question. In a study of five brands of pain relieving tablets

P, Q, R, S and T, the brands were tested and ranked

against each other as more or less effective per dose.

The following results were obtained.

(i) P was more effective than Q.

(ii) The effectiveness of R was less than that of S.

(iii) T was the least effective brand tested.

(iv) Q and R were equally effective.

(v) The effectiveness of S was greater than that of Q.

67. If the above statements are true, which of the

following must also be true?

(a) P and S were equally effective

(b) P was the most effective

(d) R was less effective than B

68. All the information in the results given above can be

derived from which of the following groups of

statements?

(a) Statements i, ii, iii

(b) Statements i, iii, iv

(d) Statements i, ii, iii, iv

69. If a sixth brand M is tested and found to be more

effective than S, then which of the followings must

be true if the finding of the study are correct?

(a) M is most effective of all six brands tested

(b) At least four of the six brands tested are less

effective than M

(d) M is less effective than P

70. If R more expensive per dose than P, and T is less

expensive per dose than R, which of the following

must be true, according to the study, for a consumer,

who wishes to buy a pain reliever with the greatest

effectiveness for the amount spent per dose?

(a) P should be purchased instead of R

(b) P should be purchased instead of T

(d) Q should be purchased instead of R if Q is of

the same price as S

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ANSWERS

1. (d) 2. (b) 3. (b) 4. (d) 5. (a)

6. (b) 7. (b) 8. (a) 9. (c) 10. (b)

11. (c) 12. (b) 13. (d) 14. (c) 15. (c)

16. (c) 17. (b) 18. (d) 19. (b) 20. (c)

21. (b) 22. (d) 23. (a) 24. (a) 25. (b)

26. (a) 27. (c) 28. (c) 29. (a) 30. (d)

31. (d) 32. (a) 33. (d) 34. (a) 35. (a)

36. (d) 37. (a) 38. (a) 39. (d) 40. (c)

41. (d) 42. (a) 43. (d) 44. (d) 45. (d)

46. (a) 47. (d) 48. (d) 49. (b) 50. (a)

51. (d) 52. (c) 53. (d) 54. (d) 55. (d)

56. (d) 57. (d) 58. (a) 59. (b) 60. (d)

61. (a) 62. (c) 63. (d) 64. (d) 65. (d)

66. (d) 67. (d) 68. (d) 69. (b) 70. (a)

Class Exercise-6

Coding, Decoding and Ranking

ASET-Employability & Skill Enhancement Course

(Amity University, Noida)

AMITY INSTITUTE

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Ph: 0120-4392463, 9110115040, 9818750084.

================================================================

========================================================

LCM & HCF

Class Exercise - 1

1. Simplify : 8.73 8.73 8.73 4.27 4.27 4.27

8.73 8.73 8.73 4.27 4.27 4.27

    

    

(a) 0 (b) 1

2 2 (842 123) (842 123)

842 842 123 123

  

  

is equal to

(a) 1 (b) 719

3. 147 147 147 143 143 143

147 147 147 143 143 143

               

is equal to

(a) 4 (b)

(c)

290 (d) 290

4. The value of the expression

1 1 1 1 1 1

3 4 n

     

                is equal to

(a) n (b)

(c)

n(n 1)



(d) 1

5. The value of the expression

1 3 5 997 2 2 2 2

3 5 7 999

       

                     is equal to

(a)

1001

(b)

999

6. The expression 1 1 1 1

1.2 2.3 3.4 n(n 1)

 

       

for any natural number is

(a) Always greater than 1

(b) Always less than 1

(d) Always a negative integer

7. The value of

1 1 1 1 1

1 2 1 2 4 1 2 4 8 1 2 4 8 16

                   

upto four places of decimal is

(a) 1.6416 (b) 1.2937

8. The unit digit in the product of (2157)173 is

(a) 3 (b) 7

Class Exercise-1

The Number System, LCM & HCF

ASET-Employability & Skill Enhancement Course

(Amity University, Noida)

AMITY INSTITUTE

Amity University, D-Block, 1st Floor, Room No. 109, Sector – 125, Noida.

Ph: 0120-4392463, 9110115040, 9818750084.

Mathematics (Class -1) ASET

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9. If the unit digit in the product (459 × 46 × 28 *

× 484) is 2, the digit in place of * is

(a) 3 (b) 5

10. The unit digit in the expression

(256251 + 36528 + 7354) is

(a) 4 (b) 0

11. The unit digit in the expression

(55725 + 735810 + 22853) is

(a) 4 (b) 0

12. The unit digit in the expression

(111

+ 122

+ 133

+ 144

+ 155

+ 166

) is

(a) 0 (b) 9

13. The value of 2 2 2 is 

(a) 0 (b) 1

14. If x 7 7 (8 2 7) 7,      the value of

x, will be

(a) 7 1 (b) 2 7

15. The sum of first 45 natural numbers is

(a) 2070 (b) 1035

16. For any natural number n, n4

+ n2

+ 1 is always

(a) Odd (b) Even

17. The sum of first 20 odd counting numbers is

(a) 20 (b) 100

18. The number of factors of a number

N = 23

× 32

× 53

(a) 18 (b) 45

19. A number when divided by 119 leaves 19 as

remainder. If the same number is divided by 17,

the remainder obtained is

(a) 10 (b) 7

20. A number when divided by 296 leaves 75 as

remainder. If the same number is divided by 37,

the remainder obtained is

(a) 2 (b) 1

21. In a division, divisor is 2

of the dividend and 2

times the remainder. If the remainder is 75, then

the dividend will be

(a) 85 (b) 145

22. The number of zero in 18! is

(a) 4 (b) 6

23. The number of zero in 29! is

(a) 4 (b) 3

24. The remainder when 2851 × (2862)2

× (2873)3

is divided by 23 is

(a) 18 (b) 17

25. What will be the remainder when (96

+ 1) is

divided by 8?

(a) 0 (b) 3

26 How many matches would be played in a

knockout tennis single tournament that started

with 512 players?

(a) 8 (b) 256

ASET Mathematics (Class -1)

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27. The digit in the unit place of the number

represented by (795 – 358) is

(a) 0 (b) 7

28. If a3b = abc = 180 and a, b, c are positive

integers, then value of c is

(a) 110 (b) 15

29. If (12

+ 22

+ 32

+ … + 102

) = 385, then the

value of (22

+ 42

+ 62

+ … + 202

) is equal to

(a) 770 (b) 1540

30. What least value should be assigned to * so that

the number 451 * 603 is exactly divisible by 9?

(a) 2 (b) 5

31. What least value should be assigned to * so that

the number 63576*2 is divisible by 8?

(a) 2 (b) 1

32. If the number 42573* is exactly divisible by 72,

then which of the following number should

replace *?

(a) 4 (b) 5

33. Which of the following numbers should be added

to 11158 to make it exactly divisible by 77?

(a) 9 (b) 8

34. The number nearest to 99547, which is exactly

divisible by 687 is

(a) 100166 (b) 98928

35. How many numbers between 200 and 600 are

divisible by 4, 5 and 6?

(a) 5 (b) 6

36. How many three digit numbers are divisible by

6 in all?

(a) 149 (b) 150

37. When n is divided by 4, the remainder is 3.

What is the remainder when 2n is divided by 4?

(a) 1 (b) 2

38. The value of

n n 1

n 1 n

2 2





  

    

(a)

(b)

n 1





(d) 1

39. The expression (15n3

+ 6n2

+ 5n + x)/n, where

x and n are integers, is not an integer for which

of the following condition?

(a) n is positive

(b) x is divisible by n

(d) a and c

40. For what value of x the difference of (1025 – 7)

and (1024 + x) is divisible by 3?

(a) 3 (b) 2

41. The value of x in x 2 x 2 x 2 3x x    

(a) 1 (b) 3

42. 165

+ 215 is divisible by

(a) 31 (b) 13

43. If 4n+1 + x and 42n – x are divisible by 5, n being

an even integer, the least value of x is

(a) 1 (b) 2

44. The largest natural number which exactly divides

the product of any four consecutive natural

numbers is

(a) 6 (b) 12

45. The largest natural number by which the product

of three consecutive even natural numbers is

always divisible by, is

(a) 16 (b) 24

Mathematics (Class -1) ASET

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46. If x and y are positive integers such that (3x +

7y) is a multiple of 11, then which of the

following will also be divisible by 11?

(a) 4x + 6y (b) x + y + 4

47. What largest number of five digits is divisible by

99?

(a) 99999 (b) 99981

48. What smallest number of six digits is divisible by

111?

(a) 111111 (b) 110011

49. What of the following numbers is exactly

divisible by all prime numbers between 1 and

17?

(a) 515513 (b) 440440

50. The difference between the square of any two

consecutive integers is equal to

(a) Product of two numbers

(b) Sum of two numbers

(d) An even number

A SE T Mathematics (Class -1 )

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1. (d) 2. (c) 3. (b) 4. (b) 5. (a)

6. (b) 7. (a) 8. (b) 9. (c) 10. (b)

11. (c) 12. (b) 13. (d) 14. (c) 15. (b)

16. (a) 17. (c) 18. (c) 19. (d) 20. (b)

21. (c) 22. (c) 23. (c) 24. (a) 25. (d)

26. (d) 27. (d) 28. (d) 29. (b) 30. (c)

31. (d) 32. (d) 33. (c) 34. (d) 35. (b)

36. (b) 37. (b) 38. (b) 39. (c) 40. (b)

41. (b) 42. (d) 43. (a) 44. (c) 45. (c)

46. (d) 47. (d) 48. (c) 49. (d) 50. (b)

ANSWERS

Class Exercise-1

The Number System, LCM & HCF

ASET-Employability & Skill Enhancement Course

(Amity University, Noida)

AMITY INSTITUTE

Amity University, D-Block, 1st Floor, Room No. 109, Sector – 125, Noida.

Ph: 0120-4392463, 9110115040, 9818750084.

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========================================================

CLOCK AND CALENDER

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[ 1 ]

1. A clock is started at 6 O’clock in the morning.

Through how many degrees will the hour hand

rotate when the clock shows 11 O’clock in the

morning?

(a) 140° (b) 180°

2. A clock is started at 5 pm. Through how many

degrees will the hour hand rotate when the clock

shows quarter past 9?

(a) 128.5° (b) 142.5°

3. At 6 :15, the hour hand and the minute hand of

a clock form an angle of

(a) 90° (b) 91.5°

4. The angle between the minute hand and the hour

hand of a clock when the time is 9 : 30, is

(a) 105 (b) 110

5. A clock strikes 5 taking 8 s. In order to strike 9

at the same rate, the time taken is

(a) 16 s (b) 12 s

6. A clock strikes 12 taking 48 s. In order to strike

3 at the same rate, the time taken is

(a) 24 s (b) 12 s

(c)

8 s

11 (d)

8 s

7. At what time between 1 and 2 O’clock are the

hands of a clock together?

(a)

5 min past 1

11 (b)

5 min past 1

(c)

5 min past 1

11 (d)

5 min past 1

8. At what time between 9 and 10 O’clock will

the hands of a clock be in the same straight line

but not together?

(a)

16 min past 9

11 (b)

16 min past 9

(c)

15 min past 9

11 (d)

15 min past 9

9. At what time between 5 and 6 O’clock will the

hands of clock be at right angle?

(a)

10 10 min past 5

11 (b)

43 min past 5

10. A watch which gains uniformly is 2 min slow at

10 am on Wednesday and is 1

2 min

fast at 1

pm the following day. When was it correct?

(a) 11 : 30 pm Wednesday

(b) 9 : 15 pm Wednesday

(d) 10 pm Wednesday

Class Exercise-2

Clocks and Calendar

ASET-Employability & Skill Enhancement Course

(Amity University, Noida)

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[ 2 ]

Mathematics (Class -2) ASET

11. If the hands of a clock coincide every 64 min.

(true time) in 24 h. How much a day does the

clock gain?

(a)

31 min

(b)

32 min

(c)

33 min

11 (d)

34 min

12. If the hands of a clock coincide every 66 min

(true time) in 24 h, how much a day does the

clock loose?

(a)

11 min

11 (b)

109 11 min

121

(c)

100 11 min

121 (d)

11 min

13. An accurate clock shows 8 o'clock in the

morning. Through how may degrees will the

hour hand rotate when the clock shows 2

o'clock in the afternoon?

(a) 154° (b) 180°

14. A clock is set right at 10 am. The clock gains

10 min in a day. What will be the true time when

the watch indicates 3 pm the next day?

(a) 12 min past 2 pm (b) 45 min past 2 pm

15. A clock is set to show the correct time at 7 am.

Monday. The clock loses 15 min in 24 h. What

will be the true time when the clock indicates 6

am on the following Friday?

(a) 6 : 15 am Friday (b) 6 : 30 am Friday

16. The reflection of a clock in the mirror is 3 h

45 min. What is the actual time shown in the

clock?

(a) 8 h 15 min (b) 9 h 30 min

17. If a wall clock shows 2 h 30 min. What time will

the clock show in the mirror?

(a) 8 h 45 min (b) 8 h 50 min

18. January 1, 2001 was a Monday. What day of the

week lies on January 1, 2002?

(a) Saturday (b) Tuesday

19. What will be the day on 22nd January, 2003?

(a) Monday (b) Tuesday

20. If the seventh day of a month is three days

earlier than Friday, what day will it be on the

nineteenth day of the month?

(a) Sunday (b) Monday

21. If a month in an year starts with Monday, then

the date of the fourth day after the second

Saturday in that month, will be

(a) 16 (b) 17

22. If 9th May 2008 was Friday, then what day was

February 14th of the same year?

(a) Thursday (b) Monday

23. The director came to the office to attend a

meeting at 15 min past 12 and he came 25 min

before his steno who in turn was late by 30 min

to the meeting. At what time was the meeting

supposed to start?

(a) 12 : 00 (b) 12 : 15

24. If fourth day after January 6 is a Saturday,

which day of the week was on December 1 of

the previous year?

(a) Saturday (b) Friday

25. The angle between the hands of a clock when

the time shown is 12 min past 5 O’clock is

(a) 78° (b) 80°

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ASET Mathematics (Class -2)

26. If the first day of June is a Saturday, then the

date on which the last Saturday of that month

falls is

(a) 22 (b) 28

27. If 9th March of 1995 is a Saturday, then the

th March of 1996 is a

(a) Wednesday (b) Tuesday

28. In a clock, what is the angle between the two

hands at 5 h 10 min?

(a) 60° (b) 95°

29. The last day of February, 2006 was a

(a) Monday (b) Tuesday

30. The time on the watch is 9 : 15 and the hour

hand points towards West. The direction of the

minutes hand is

(a) North (b) South

31. Today is 3rd November. The day of the week is

Monday. This is a leap year. What will be the

day of the week on this date after 3 years?

(a) Thursday (b) Friday

32. At what time between 5 and 6 are the hands of

a clock coincident?

(a)

11 minutes past 5

(b) 30 minutes past 5

(c)

11 minutes past 5

(d)

11 minutes past 5

33. At what time between 9 and 10 will the hands

of a watch be together?

(a)

11 minutes past 9

(b) 50 minutes past 9

(c)

11 minutes past 9

(d)

11 minutes past 9

34. How many times do the hands of a clock

coincide in a day ?

(a) 24 (b) 20

35. A watch which gains 5 seconds in 3 minutes

was set right at 7 a. m. In the afternoon of the

same day, when the watch indicated quarter past

4 O’clock, the true time is :

(a) 59 minutes past 3

(b) 4 p. m.

(d) 2 minutes past 4

36. At what time between 5. 30 and 6 will the

hands of a clock be at right angle

(a)

11 minutes part 5

(b)

11 minutes past 5

(c)

11 minutes past 5

(d) 40 minutes past 5

37. How many time in a day, are the hands of a

clock straight?

(a) 24 (b) 48

38. How many times are the hands of a clock at

right angle in a day?

(a) 24 (b) 48

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Mathematics (Class -2) ASET

39. On 5th December 1993, Parimala and Siva

celebrated their anniversary on Sunday. What

will be the day on their anniversary in 1997?

(a) Friday (b) Saturday

40. At what time between 7 and 8 will the hands of

a clock be in the same straight time, but not

together?

(a)

11 minutes past 7

(b)

11 minutes past 7

(c)

11 minutes past 7

(d) 7

minutes past 3

41. At what angle the hands of a clock are inclined

at 15 minutes past 5?

(a) 72 (b) 67.5

42. Which day can not be first day or last day of any

century.

(a) Sunday (b) Monday

43. A baby who was born on 29th Feb. 1896, when

did he celebrate his first birthday?

(a) 28th Feb. 1897

(b) 29th Feb. 1900

(d) 20th Feb. 1908

44. What was the day on 20th December 1985?

(a) Monday (b) Tuesday

45. If 27th January 1996 was sunday then what day

would be on 26th March 1997?

(a) Monday (b) Tuesday

46. On what dates of August 1980, did Sunday fall?

(a) 3

rd, 10th, 17th, 24th,31th

(b) 4th, 11th, 18th,25th

(d) 2nd, 9th, 16th, 23rd, 30th

47. Which of the following year is a leap year?

(a) 1882 (b) 1800

48. Sonika is 10 weeks elder than Mala and Mala is

91 days younger than Jyoti. lf Jyoti was born on

Monday then on what day of a week Sonika was

born?

(a) Saturday (b) Sunday

49. How many leap year and ordinary year are there

in the first 100 years A.D.?

(a) 25,75 (b) 23,77

50. The year that will have the same calender as that

of the year 1995.

(a) 2002 (b) 2005

ANSWERS

1. (c) 2. (c) 3. (c) 4. (a) 5. (a)

6. (c) 7. (a) 8. (a) 9. (c) 10. (d)

11. (b) 12. (b) 13. (b) 14. (c) 15. (c)

16. (a) 17. (d) 18. (b) 19. (c) 20. (a)

21. (b) 22. (a) 23. (c) 24. (c) 25. (c)

26. (c) 27. (d) 28. (b) 29. (b) 30. (c)

31. (a) 32. (d) 33. (c) 34. (d) 35. (b)

36. (b) 37. (c) 38. (d) 39. (a) 40. (a)

41. (b) 42. (c) 43. (c) 44. (d) 45. (c)

46. (a) 47. (c) 48. (d) 49. (c) 50. (c)

Class Exercise-2

Clocks and Calendar

ASET-Employability & Skill Enhancement Course

(Amity University, Noida)

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========================================================

TIME AND WORK

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1. A can do a piece of work in 15 days and B

alone can do it in 10 days. B works at it for 5

days and then leaves. A alone can finish the

remaining work in

(a) 6 1 days

(b)

7 1 days

2. A and B can do a piece of work in 72 days; B

and C can do it in 120 days; A and C can do it

in 90 days. In what time A alone can do it?

(a) 150 days (b) 120 days

3. A can do a piece of work in 80 days. He works

at it for 10 days and then B alone finishes the

remaining work in 42 days. The two together

could complete the work in

(a) 24 days (b) 25 days

4. A and B can do a piece of work in 5 days; B

and C can do it in 7 days; A and C can do it in

4 days. Who among these will take the least time

if put to do it alone?

(a) A (b) B

5. A can do

of the work in 5 days and B can

do 2

of the work in 10 days. In how many

days both A and B together can do the work?

(a) 7 3

(b) 8 4

(c)

9 3

(d) 10

Class Exercise-9

Time and Work

ASET-Employability & Skill Enhancement Course

(Amity University, Noida)

6. X takes 4 days to complete one-third of a job, Y

takes 3 days to complete one-sixth of the same

work and Z takes 5 days to complete half the

job. If all of them work together for 3 days and

X and Z quit, how long will it take for Y to

complete the remaining work done?

(a) 6 days (b) 8.1 days

7. Three men earn as much as 4 women,

4 women earn as much as 6 boys, and 8 boys

earn as much as 10 girls. If a girl earns Rs. 50

a day, then the earning of a man would be

(a) Rs. 115 (b) Rs. 135

8. 20 men take 10 days to complete a job working

at the rate of 5 hrs. per day. How much time

would 15 men, who work for 8 hrs. per day,

take to complete the same job?

(a)

25 days

(b) 10 days

(c)

12 3 days

(d) None of these

9. A and B can do a job in 10 days. B and C can

do the same job in 15 days. If all three together

can do the work in 6 days, then in how many

days B can complete the whole job?

(a) 10 days (b) 12 days

10. A and B together can do a piece of work in

12 days, which B and C together can do in

16 days. After A has been working at it for

5 days and B for 7 days, C finishes in 13 days.

In how many days C alone will do the work?

(a) 16 (b) 24

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11. A, B and C can do a piece of work in 36,

54 and 72 days respectively. They started the

work but A left 8 days before the completion of

the work, while B left 12 days before the

completion. The number of days for which C

worked is

(a) 4 (b) 8

12. A does half as much work as B and C does half

as much work as A and B together. If C alone

can finish the work in 40 days, then together all

will finish the work in

(a) 131

days (b) 15 days

13. A, B and C can do a piece of work in 11 days,

20 days and 55 days respectively, working alone.

How soon can the work be done if A is assisted

by B and C on alternate days?

(a) 7 days (b) 8 days

14. A and B working separately can do a piece of

work in 9 and 12 days respectively. If they work

for a day alternately. A beginning, in how many

days the work will be completed?

(a) 10 1

(b) 10 1

(d)

10 2

15. Ram can do a piece of work in 8 days which

Shyam can finish in 12 days. If they work at it

on alternate days with Ram beginning, in how

many days, the work will be finished?

(a)

9 1

(b) 9 1

(d) 10 1

16. 12 Children take 16 days to complete a work

which can be completed by 8 adults in 12 days.

16 adults started working and after 3 days

10 adults left and 4 children joined them. How

many days will it take them to complete the

remaining work?

(a) 6 (b) 8

17. A piece of work can be done by 6 men and

5 women in 6 days or 3 men and 4 women in

10 days. It can be done by 9 men and 15 women

(a) 1 day (b) 2 days

18. 12 men can complete a work in 18 days. Six

days after they started working, 4 men joined

them. How many days will all of them take to

finish the remaining work?

(a) 9 (b) 10

19. A and B can separately do a piece of work in

20 and 15 days respectively. They worked

together for 6 days, after which B was replaced

by C. If the work was finished in next 4 days,

then the number of days in which C alone could

do the work will be?

(a) 60 (b) 40

20. A certain number of men complete a piece of

work in 60 days. If there were 8 men more, the

work could be finished in 10 days less. How

many men were originally there?

(a) 30 (b) 32

21. A can do a piece of work in 14 days which B

can do in 21 days. They begin together but

3 days before the completion of the work. A

leaves off. The total number of days to complete

the work is

(a) 6 3

(b)

8 1

(d)

13 1

22. Kishan and Kanhaiya can do a job in 8 days and

12 days respectively. If they work on alternate

days with Kishan beginning, in how many days

will the work be finished?

(a) 9 1 days

(b)

9 1 days

(c)

9 2 days

(d)

9 3 days

23. A man works twice as fast as a woman. A

woman works twice as fast as a child. If

16 men can complete a job in 12 days, how

many days would be required for 32 women, and

64 boys together to complete the same job?

(a) 2 days (b) 3 days

24. A and B working together can do a piece of

work in 18 days, B and C in 24 days, C and A

in 36 days. How many days will it take if all of

them work together?

(a) 18 days (b) 21 days

ASET Class-9

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25. In 16 days, 45 men can complete a certain job.

Working after 6 days, 30 more men joined them.

How many more days would they take now to

finish the job?

(a) 4 days (b) 12 days

26. A, B and C can complete a work, working alone

in 10, 15 and 20 days respectively. If all three

work together to complete the work, what

fraction of the work is done by B?

(a)

13 (b)

(c)

(d)

27. A and B can do a job in 12 days; B and C can

do it in 16 days. After A has worked for 5 days

and B has worked for 7 days, C can finish the

rest in 13 days. In how many days can C do the

work alone?

(a) 28 days (b) 32 days

28. A is thrice as efficient as B, and B is twice as

efficient as C. If A, B and C work together, how

long will they take to complete a job which B

completes in 10 days?

(a)

20 days

(b)

16 days

17 days

29. Five men take as much time to do a job as 10

women take. If 6 men take 10 days to complete

a job working 4 hr per day, how much time

would 10 women take to do a job twice as

much as the former working 6 hr a day?

(a) 12 days (b) 14 days

30. If 3 men or 4 women can construct a tower in

43 days, then how many days will 7 men and 5

women together take to construct it?

(a) 14 days (b) 15 days

31. A and B can separately do a piece of work in

20 and 15 days respectively. They worked

together for 6 days, after which B was replaced

by C. If the work was finished in next 4 days,

then the number of days in which C alone could

do the work will be?

(a) 60 (b) 40

32. A certain number of men complete a piece of

work in 60 days. If there were 8 men more, the

work could be finished in 10 days less. How

many men were originally there?

(a) 30 (b) 32

33. 8 men can dig a pit in 20 days. If a man works

half as much again as a boys, then 4 men and 9

boys can dig a similar pit in

(a) 10 days (b) 12 days

34. Two workers A and B working together

completed a job in 5 days. If A worked twice as

efficiently as he actually did and B worked 1

efficiently as he actually did, the work would

have completed in 3 days. Find the time for A to

complete the job alone

(a)

6 1 days

(b)

6 1 days

(d)

12 1 days

35. Ramesh can finish a job in 20 days. He worked

for 10 days alone and completed the remaining

job working with Dinesh, in 2 days. How many

days would both Dinesh and Ramesh together

take to complete the entire job?

(a) 4 (b) 5

36. A tank can be filled in by an inlet pipe of circular

cross section in 10 min. Another tank twice as

big is filled in by 3 inlet pipes whose diameters

are in the ratio 1 : 2 : 3. If the smallest pipe of

these is four times as much in cross-section as

the pipe of the first tank, find the time taken to

fill the second tank, [Speed of water in the

second tank is half the speed of the water in the

first tank.]

(a)

7 min

5 (b)

5 min

(c)

5 min

6 (d)

6 min

37. A sum of money is sufficient to pay A’s wages

for 21 days and B’s wages for 20 days. It is then

sufficient to pay the wages of both for

(a) 16.24 days (b) 14.64 days

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38. A can work half as fast as B and C together. A

and B together can work three times as fast as

C. If all three of them complete a job in 15 days,

how long would C take to complete the same

work?

(a) 45 days (b) 54 days

39. Three men with 5 boys can do a piece of work

in 2 days and 4 men and 16 boys can complete

the job in one day. How much time will it take

for 1 boy together with a woman who can work

twice as fast as the boy to complete a job that

is 3 times as time consuming?

(a) 24 days (b) 28 days

40. P works twice as fast as Q, whereas P and Q

together can work three thing as fast as R. If

P1, Q2 and R work together on a job, in what

ratio should they share the earnings?

(a) 2 : 1 : 1 (b) 4 : 2 : 1

41. Two taps A and B can fill a vessel in 12 min and

15 min respectively, but a third tap C can empty

the fuel tank in 6 min. A and B is kept open for

5 min in the beginning and then C is also opened.

In what time will the vessel be emptied?

(a) 30 min (b) 33 min

42. Because of a leak, a tank which usually is filled

in 3 hr, now takes 3.5 hr to be filled. The leak

alone will empty the filled tank in

(a) 18 hr (b) 21 hr

43. Two pipes P and Q can fill a tank in 12 minutes

and 15 minutes respectively. A third pipe R can

empty the full tank in 6 minutes. P and Q are

kept open for 5 minutes initially and then pipe R

is also opened. Find out whether the tank will

get filled or emptied and in how many minutes

after that?

(a) Filled, 15 minutes

(b) Emptied, 45 minutes

(d) Emptied, 60 minutes

44. A leak in the bottom of a tank can empty it in

6 hr. A pipe fills the tank at 4 L/min. When the

tank is full, the inlet is opened, but due to the

leak the tank is emptied in 8 hr. What is the

capacity of the tank?

(a) 5,260 L (b) 6,840 L

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ANSWER

1. (b) 2. (b) 3. (c) 4. (a) 5. (c)

6. (c) 7. (c) 8. (a) 9. (d) 10. (b)

11. (d) 12. (a) 13. (b) 14. (c) 15. (b)

16. (a) 17. (c) 18. (a) 19. (b) 20. (d)

21. (c) 22. (a) 23. (d) 24. (c) 25. (c)

26. (a) 27. (d) 28. (a) 29. (c) 30. (d)

31. (b) 32. (d) 33. (d) 34. (b) 35. (a)

36. (b) 37. (d) 38. (c) 39. (b) 40. (a)

41. (c) 42. (b) 43. (b) 44. (d)

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Class Exercise-9

Time and Work

================================================================

========================================================

RATION AND PROPORTION

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1. The ratio of age of A and B is x : y. If A’s age is

increased by 3 years and B’s age is increased by

2 years then new ratio of their ages becomes 24 :

25. Given that the sum of their actual ages is 93

years. Find the actual ratio of their ages.

(a) 21 : 22

(b) 42 : 45

(d) Can’t be determined

2. The LCM of two numbers is 210 and their ratio is

2 : 3. The sum of these numbers is

(a) 210

(b) 175

(d) Can’t be determined

3. In a wallet the ratio of 25 paise, 50 paise and Re 1

coins are in the ratio of 12 : 4 : 3, which amounts

to Rs. 600. Find the number of coins of 25 paise

(a) 200 (b) 225

4. The ratio of prices of Cello and Rotomac pens in

2000 were in the ratio of 3 : 5. In 2005 the price of

Cello pen trebles itself and the price of Rotomac

pen is increased by Rs. 100, then the new ratio of

prices of the same pens becomes 4 : 5. What was

the original price of the Rotomac pen in 2000?

(a) Rs. 60 (b) Rs. 80

5. Sachin bought 1.5 kg fresh grapes. The ratio of

water is to pulp was 4 : 1. When his naughty child

crused these grapes, then some water get wasted.

Now the ratio of water is to pulp is 3 : 2. What is

the total amount of the crushed grapes?

(a) 0.5 kg (b) 1 kg

6. The ratio of age between A and B is 6 : 5 and the

age of each C and D is

10 times that of B. Age of

F is less than A but greater than B. The ratio of

ages between B and E is 2 : 3 also age of A is 3

years less than E. What is the ratio of ages of A

and F if all the ages are in integers?

(a) 12 : 11 (b) 9 : 7

7. A contractor undertook to do a certain piece of

work in 9 days. He employed certain number of

labourers but 6 of then being absent from the very

first day, the rest could finish the work in 15 days.

The number of men originally employed were

(a) 12 (b) 15

8. In a family there were n people. The expenditure

of rice per month in this family is directly

proportional to the 5 times the square of number

of people in the family. If the elder son left the

family to study in USA there was decrease in

consumption of 95 kg rice per month. What is the

value of n?

(a) 5 (b) 12

Class Exercise-3A

Ratio & Proportion, Mixture Solutions

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9. If

a b c

b c c a a b

 

  

and a + b + c  0 then

the value of

a b c  

(a)

(b)

(c)

(d) 1

10. Three persons Amar, Akbar and Anthony agree

to pay their hotel bills in the ratio of 3 : 4 : 5. Amar

pays the first day’s bill which amounts to Rs. 26.65,

Akbar pays the second days bill which amounts to

Rs. 42.75 and C pays the third day’s bill which

amounts to Rs. 53.00. When they settle their

accounts, which of the following happens?

(a) Amar gives Rs. 3 to C

(b) Akbar gives Rs. 2 to Amar

Anthony

(d) None of these

11. Find the third proportional to the numbers 5 and

(a) 20 (b) 2.5

12. A bag contains an equal number of one rupee,

50 paisa and 25 paisa coins respectively. If the

total value is Rs. 35, how many coins of each

types are there?

(a) 20 (b) 16

13. If a : b = c : d, then the value of

2 2

a b

c d



(a)

(b)

a b

c d



(c)

a b

c d



(d)

14. If x : y = 2 : 3, find the value of (3x + 2y) :

(2x + 5y)

(a)

25 (b)

(c)

19 (d)

15. If A : B = 3 : 4, B : C = 8 : 9, C : D = 15 : 16.

Find A : B : C : D

(a) 15 : 20 : 21 : 28 (b) 30 : 40 : 45 : 48

16. A dog pursues a cat and takes 5 leaps for every

6 leaps of the cat, but 4 leaps of the dog are

equal to 5 leaps of the cat. Compare the speeds

of the dog and the car

(a) 15 : 22 (b) 9 : 25

17. What should be subtracted from each of the

numbers 54, 71, 75 and 99, so that they are in

continued proportion?

(a) 9 (b) 7

18. Divide 170 into three parts such that the first

part is 10 more than the second and its ratio

with third part is 2 : 5

(a) 22 : 35 : 113 (b) 35 : 55 : 80

19. A mixture of 729 mL contains milk and water in

the ratio 7 : 2. How much more water is added

to get a new mixture containing milk and water

in the ratio 7 : 3?

(a) 81 mL (b) 72 mL

20. A mixture contains alcohol and water in the ratio

4 : 3. If 8L water is added to the mixture, the

ratio of alcohol and water becomes 3 : 5. Find

the quantity of alcohol in the mixture

(a)

96 L

11 (b)

72 L

(c)

168 L

11 (d) None of these

21. In three vessels of 10 L capacity, mixture of

milk and water is filled. The ratio of milk and

water are 2 : 1, 3 : 1 and 3 : 2 in the respective

vessels. If all the three vessels are emptied into

a single large vessel, find the ratio of milk and

water in the resultant mixture

(a) 121 : 41 (b) 117 : 22

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22. Ratio of boys to the girls in a class is 5 : 4.

Which of the following cannot be the number of

students in the class?

(a) 45 (b) 72

23. The ratio of spirit and water in a mixture is 1 : 3.

If the volume of the solution is increased by

25% by adding spirit only. What is the resultant

ratio of spirit and water?

(a) 2 : 3 (b) 1 : 4

24. In a factory men, women and children were

employed in the ratio 8 : 5 : 1 to finish a job and

their individual wages were in the ratio 5 : 2 : 3.

Total daily wages of all amount of Rs. 318. Find

the total daily wages paid to each category

(a) Rs. 240, 60, 18 (b) Rs. 210, 70, 38

25. An amount of money is to be distributed among

A, B and C in the ratio 5 : 8 : 12 respectively.

If the total share of B and C is four times that

of A. What is A’s share?

(a) Rs. 3000

(b) Rs. 5000

(d) None of these

26. The ratio of the ages of A and B is 5 : 7. If the

difference between the present age of B and

that of A 6 yr hence is 2, then what is the total

of present ages of A and B?

(a) 49 yr (b) 52 yr

27. If there are Rs. 495 in a bag in denominations of

one-rupee, 50 paisa and 25 paisa coins, which

are in the ratio 1 : 8 : 16. How many 50 paisa

coins are there in the bag?

(a) 50 (b) 220

28. Two numbers are in the ratio 3 : 5. If each

number is increased by 10, the ratio becomes

5 : 7. The number are

(a) 3, 5 (b) 7, 9

29. The monthly salary of A, B, C is in the ratio of

2 : 3 : 5. If C’s monthly salary is Rs. 1200 more

than that of A, then B’s annual salary is

(a) Rs. 14400 (b) Rs. 24000

30. The ratio of money with Ram and Rahul is 7 : 17

and that with Rahul and Ajay is 7 : 17. If Ram

has Rs. 490, Ajay has

(a) Rs. 2890 (b) Rs. 2330

31. The students in three classes are in the ratio

2 : 3 : 5. If 20 students are increased in each

class, the ratio changes to 4 : 5 : 7. The total

number of students before the increases were

(a) 10 (b) 90

32. The ratio of the first and second class fares

between two stations is 4 : 1 and that of number

of passengers travelling by first and second class

is 1 : 40. If Rs. 1100 is collected as fare, the

amount collected from first class passenger is

(a) Rs. 275 (b) Rs. 315

33. Rs. 5625 is divided among A, B and C so that

A may receive

as much as B and C together

receive and B receives 1

of what A and C

together receive. The share of A is more than

that of B by

(a) Rs. 750 (b) Rs. 775

34. Gold is 19 times as heavy as water and copper

9 times a heavy as water. In what ratio should

these metal be mixed so that the mixture may be

15 times as heavy as water?

(a) 3 : 2 (b) 9 : 5

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35. The average weekly salary per head of the

entire staff of a factory consisting of supervisors

and the labourers is Rs. 60. The average salary

per head of the supervisors is Rs. 400 and that

of the labourers is Rs. 56. If the number of

supervisors is 12, find the number of labourers in

the factory

(a) 986 (b) 1020

36. A sum of Rs. 41 was divided among 50 boys

and girls. Each boy gets 90 paise and a girl 65

paisa. Find the number of boys and girls

(a) 34, 16 (b) 30, 20

37. Two vessels A and B contain milk and water

mixed in the ratio 5 : 2 and 8 : 5 respectively.

Find the ratio in which these mixtures are to be

mixed to get a new mixture containing milk and

water in the ratio 9 : 4

(a) 5 : 2 (b) 9 : 7

38. Two vessels A and B contain milk and water

mixed in the ratio 5 : 3 and 2 : 3. When these

mixtures are mixed to form a new mixture

containing half milk and half water, they must be

taken in the ratio

(a) 2 : 5 (b) 3 : 5

39. A can contains a mixture of two liquids A and B

in proportion 7 : 5. When 9L of mixture are

drawn off and the can is filled with B, the

proportion of A and B becomes 7 : 9. How many

litres of liquid A was contained by the can

initially?

(a) 25 L (b) 108 L

40. A container contains 240 L of wine. 80 L is

taken out of the container everyday and an

equal quantity of water is put into it. Find the

quantity of the wine that remains in the container

at the end of the fourth day

(a) 39.2 L (b) 32 L

ASET Mathematics (Class -3)

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Class Exercise-3B

Data Interpretation

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Directions for questions 1 to 5: Study the following table carefully and answer the questions given below:

No. of marks obtained by five students in five subjects in an Examination (Total marks in all the five subjects

in each are 200)

1. The total marks obtained by B in English and History together was approximately what percentage of

marks obtained by E in English?

(a) 150 (b) 100

2. Marks obtained by C in History was approximately what percentage of marks obtained by A in

Geography?

(a) 167 (b) 67

3. Who among them secured highest total marks in English, History and Geography?

(a) A (b) B

4. If the minimum pass percentage is 50 in each subject to be declared pass in the examination, how

many of them failed in the examination?

(a) None (b) 2 (c) 1 (d) 3

5. Who among them secured highest total percentage of marks?

(a) A (b) B (c) C (d) E

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Directions for questions 6 to 10: Study the following graph carefully and answer the questions that follow:

Runs scored by three different teams in five different cricket matches

6. Total runs scored by India and Australia in Match 4 together is approximately, what percentage of the

total runs scored by England in all five matches together?

(a) 42 (b) 18 (c) 36 (d) 24

7. In which match, the difference between the runs scored by Australia and England second lowest?

(a) 1 (b) 2 (c) 3 (d) 4

8. In which match the total runs scored by India and England is the third highest/lowest?

(a) 1 (b) 2 (c) 3 (d) 4

9. What is the respective ratio of the runs scored by India in Match 5, Australia in Match 1 and England in

Match 2?

(a) 11 : 13 : 7 (b) 11 : 7 : 13 (c) 11 : 3 : 9 (d) 11 : 13 : 9

10. What was the average runs scored by all the three teams in Match 3 together?

(a) 280 (b) 270 (c) 275 (d) 285

Direction for qustions 11 to 15: Study the following table carefully and answer the questions given below.

Number of tickets sold in a week of five movies in the multiplexes in six different cities (number in thousands)

11. The number of tickets of movie B sold in Hyderabad was approximately, what percent of the total

number of tickets of the same movie sold in all the cities together?

(a) 15 % (b) 18 % (c) 12 % (d) 24 %

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12. What is the difference between the number of tickets of movie D sold in Kolkata and the number of

tickets of movie B sold in Lucknow?

(a) 7500 (b) 7000 (c) 14000 (d) None of the above

13. What is the average number of tickets of movie C sold in all the six cities?

(a) 15500 (b) 2550 (c) 24000 (d) 25500

14. The number of tickets of movie E sold in Chennai is what percent of number of tickets movies A sold in

Mumbai?

(a) 170 (b) 70 (c) 30 (d) 130

15. In which city was the total number of tickets of all the five movies together sold the minimum?

(a) Delhi (b) Chennai (c) Lucknow (d) Kolkata

Directions for questions 16 to 20: Study the given pie-chart and table carefully and answer the questions

given below:

The pie-chart shows the distribution of the total number of students studying medical courses from 6 colleges and

the table shows the ratio of male to female students and the ratio of MBBS to MD students.

16. What is the difference between the number of MBBS students in college A and college E?

(a) 20000 (b) 30000 (c) 40000 (d) 25000

17. What is the ratio of female students of college C to those of college D?

(a) 3 : 2 (b) 5 : 4 (c) None of these (d) 4 : 3

18. What is the number of female students of college E who were studying MBBS?

(a) 24000 (b) None of these (c) 21000 (d) Can’t be determined

19. The number of MD students from college A is what percent more than the number of MBBS students

from college F?

(a) 12% (b) 15% (c) 20% (d) 8%

20. The number of female students in college B is what percent of the number of male students in college E?

(a) 72.5% (b) 77 7/9 % (c) None of these (d) 87.75%

Mathematics (Class -3) ASET

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Direction for questions 21 to 25: The pie-chart shows the total e-books manufactured by banking institution

on different subjects Reasoning, Aptitude, Current Affairs, English and Computer and their sale percentage.

21. What is difference between the number of unsold Aptitude e-books and sold Reasoning e-books?

(a) 1969 (b) 2835 (c) 3478 (d) 2521

22. The number of unsold Reasoning e-books is what percent less than that of unsold Current Affairs

ebooks?

(a) 7.65% (b) 15.25% (c) 10.75% (d) 17.75%

23. The number of Computer e-books sold is what percent more than that of English e-books sold?

(a) 153.84% (b) 141.24% (c) 163.34% (d) 155.94%

24. What is the sum of total number of unsold Current Affairs e-books and sold Aptitude e-books?

(a) 8561 (b) 7721 (c) 9191 (d) 8721

25. What is the total number of unsold e-books of all subjects?

ASET Mathematics (Class -3)

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Directions for questions 26 to 30: Study the following table carefully and answer the questions given below

: Number of students enrolled with five colleges over the years.

26. In 2014, from all colleges together 10% students enrolled went abroad. How many students went abroad?

(a) 324 (b) 236 (c) 211 (d) 412

27. The average number of students enrolled from college H for all the years together is approximately what

percent of the average number of students enrolled from college J for all the years together?

(a) 74% (b) 83% (c) 88% (d) 92%

28. What is the ratio of the average number of students enrolled with all colleges together in 2015 to that in

2016?

(a) 115 : 107 (b) 113 : 117 (c) 105 : 109 (d) 110 : 113

29. In 2013, from all the colleges together an overall 40% of the students enrolled for computer course total

how many students enrolled for this course?

(a) 900 (b) 750 (c) 850 (d) 800

30. If from college H in 2015, 90% of the students enrolled appeared in a competitive examination, out of

w h i c h

75% students passed, how many students passed the examination?

(a) 272 (b) 236 (c) 248 (d) 243

Directions for questions 31 to 35: Study the following table carefully and answer the given questions.

Number of students studying in different standards of different schools.

Schools => P,Q,R,S,T,U

Standards =>III IV V VI VII VIII

31. What is the approximate average number of students studying in standard III from all schools together?

(a) 42 (b) 36 (c) 48 (d) 54

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32. Number of students studying in standard VI from school T is what percent of those studying in standard

VI from school S?

(a) 92.5% (b) 95.65% (c) 86.45% (d) 78.65%

33. Which school has the highest total number of students from all the given standards together?

(a) P (b) Q (c) S (d) U

34. Which standard has the lowest total number of students from all the given schools together?

(a) III (b) IV (c) VI (d) VIII

35. What is the respective ratio of students studying in standard V of school P and Q together to those

studying in standard VIII of schools R and S together?

(a) 103 : 85 (b) 57 : 54 (c) 53 : 52 (d) 89 : 83

Direction for questions 36 to 40: Questions are to be answered on the basis of information available in

the following pie diagrams which represent, percentage share of major cargo carriers in India in 1996. Total

turnovers of domestic and international sector are Rs. 70 crore and Rs. 40 crore respectively.

Others

35%

DTDC

36%

DHL

12%

Air Freight

17%

Domestic (Rs. 70 crore)

Others

25%

DTDC

21%

DHL

13%

Air Freight

41%

International (Rs. 40 crore)

36. What was Air Freight’s turnover (in Rs. crore) in 1996?

(a) 20.8 (b) 24.6

37. What was the difference (in Rs.crore) in DHL’s domestic and international turnover in 1996?

(a) 2.8 (b) 3

38. What was the difference ( in Rs.crore) in DTDC’s domestic turnover and the international turnover

of others?

(a) 15.2 (b) 20.2

39. If 35% of DTDC’s international cargo revenue comes from documents, what is the percent of revenue

that these documents account for from DTDC’s total revenue?

(a) 2.25 (b) 3.75

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40. If Skypak accounts for 8% of the domestic cargo, what percent of the Others category does it account

for (in the domestic cargo sector)?

(a) 18 (b) 20.5

Direction for questions 41 to 45 : Questions are to be answered on the basis of information represented

in the form of bar graph which depicts the yearly earning in Rs. cr. from the two All India Radio channels,

viz. Vividh Bharati and Primary Channel.

(AIR's commercial earnings in Rs. cr)

6.26

12.51

17.55

25.25

43.7

37.3

14.05

2.64

1975-76 1980-81 1985-86 1990-91 1995-96

Year

Earnings

Vividh Bharati

Primary Channel

42. By how many times has AIR’s commercial earnings increased over the given period?

(a) 10.9 (b) 11.9

42. What was the annual percentage increase of AIR’s commercial earnings from 1985-86 to

1995-96?

(a) 25 (b) 27.5

43. What is the deviation of Vividh Bharati’s percentage increase in revenue from 1985-86 to

1995-96 to its percentage increase in revenue from 1975-76 to 1985-86?

(a) 67 (b) –70

44. What was the annual percentage increase in the increase of revenue of the Primary Channel since

its inception?

(a) 20.5 (b) 205

45. If the FM channel contributed Rs. 10 crore in 1995-96, what is the percentage of the remaining

earnings to the total earnings of 1980?

(a) 460 (b) 510

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ANSWER

1. (c) 2. (b) 3. (d) 4. (b) 5. (c)

6. (a) 7. (b) 8. (d) 9. (b) 10. (c)

11. (a) 12. (a) 13. (d) 14. (c) 15. (b)

16. (d) 17. (d) 18. (c) 19. (a) 20. (a)

21. (c) 22. (d) 23. (a) 24. (a) 25. (c)

26. (d) 27. (c) 28. (d) 29. (a) 30. (a)

31. (c) 32. (d) 33. (a) 34. (a) 35. (b)

36. (a) 37. (d) 38. (c) 39. (d) 40. (d)

1. (c) 2. (d) 3. (b) 4. (d) 5. (d)

6. (c) 7. (c) 8. (a) 9. (d) 10. (b)

11. (d) 12. (d) 13. (d) 14. (a) 15. (a)

16. (c) 17. (d) 18. (d) 19. (c) 20. (b)

21. (b) 22. (c) 23. (a) 24. (d) 25. (d)

26. (c) 27. (b) 28. (d) 29. (a) 30. (d)

31. (c) 32. (b) 33. (d) 34. (d) 35. (a)

36. (c) 37. (c) 38. (a) 39. (d) 40. (c)

41. (c) 42. (c) 43. (b) 44. (d) 45. (d)

Class Exercise-3A

Ratio & Proportion, Mixture Solutions

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PROFIT AND LOSS

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ASET Mathematics (Class -5)

1. Two successive discounts of 8% and 12% are equal

to a single discount of

(a) 20% (b) 19.04%

2. P’s income has increased by 10% over last year and

will be 20% higher next year. If his last year’s income

is Rs.7,000 per month, what will it be next year?

(a) Rs.9240 (b) 4500

3. A mixture contains sand and gravel in the ratio 1: 4.

The sand has 20% impurity. If total mixture weights 10

kg, how much impurity is there? (Consider that gravel

has no impurity).

(a) 300g (b) 450g

4. The population of a city is estimated to be 4,32,000

after 2 years. If the population growth is 20% per

annum. What is the current population?

(a) 3,10,000 (b) 2,85,000

5. The price of a house increased by 25% after 10 years,

reduces by 25% during the subsequent 10 years. If the

present cost is Rs.10 lakh, what will be its cost after 20

years.

(a) Rs.9,37,500 (b) Rs.9,00,000

6. The price of a product of a company increases by 10%

and the turnover increases by 10%. What is the change

in quantity sold?

(a) 10% (b) 8%

7. An alloy contains 10g copper, 20g tin and 20g silver.

What is the percentage of copper in the alloy?

(a) 20% (b) 25%

8 The price of a television includes the manufacturing

cost, 10% sales tax and 10% profit. What is the

manufacturing cost, If the price is Rs.14,400? (Sales

tax and profit are to be calculated on manufacturing

cost).

(a) 10,000 (b) 12,000

9. A class has girls and boys in the ratio 4 : 5. Among the

girls, the ratio of mathematics to physics students is

3 : 1. If the ratio of mathematics and physics students

in the entire class is 3:2. What percentage of class

comprises girls studying mathematics?

(a) 33.3% (b) 30%

10. Asha’s income is Rs.12,000 per month. She pays 20%

tax on monthly income above Rs.2,000 and she spends

30% of the remaining income. How much does she

save annually?

(a) 70,000 (b) 60,000

11. A man’s income is increased by Rs.1200 and at the

same time, the rate of tax to be paid is reduced from

12% to 10%. He now pays the same amount of tax as

before. Calculate the man’s increased income.

(a) Rs.7000 (b) Rs.6500

12. If 10% of an electricity bill is deducted, Rs.45 is still to

be paid. How much was the bill?

(a) Rs.50 (b) Rs.40

Class Exercise-5

Percentage, Profit and Loss

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Mathematics (Class -5) ASET

13. The tax on a commodity is diminished by 15% and its

consumption increased by 15%. Find the % decrease

in the revenue collected from it

(a) 2% (b) 2.5%

14. A reduction of Rs.2 per kg enables a man to purchase

4 kg more sugar for Rs.16. Find the original price of

sugar.

(a) Rs.4 per kg (b) Rs.6 per kg

15. A reduction of 25% in the price of rise, enables a person

to buy 5 kg more for Rs.120. Find the original price of

rice per kg.

(a) Rs.8 (b) Rs.10

16. A litre of water evaporates from 6 litres of sea water

containing 4% salt. Find the % of salt in the remaining

solution.

(a)

5 %

(b)

3 %

4 %

17. Two numbers are 20% and 25% less than the third

number. How much % is the second number less than

the first?

(a)

5 %

(b)

20 %

(c)

6 %

(d)

6 %

18. Due to increase of 30% in the price of a color TV the

sale is reduced by 40%, then what will be the % change

in income?

(a) 10% increase (b) 10% decrease

19. If the length of a rectangle is decreased by 60% and

the width is increased by 30%, then what will be the %

change in the area of the rectangle?

(a) 30% decrease (b) 45% decrease

20. Two numbers are respectively 20% and 50% more than

the third number. What % is the first number of the

second?

(a) 40% (b) 50%

21. Anand spends 75% of his income. His income is

increased by 20% and he increased his expenditure by

10%. His savings are increased by

(a) 10% (b) 25%

(c)

37 %

(d) 50%

22. Raman salary was decreased by 50% and subsequently

increased by 50%. He has a loss of

(a) 0% (b) 25%

23. There are 600 boys in a hostel. Each plays either hockey

or football or both. If 75% lays hockey and 45% play

football, how many boys play both?

(a) 48 (b) 60

24. In an examination, 80% of the students passed in

English, 85% in Mathematics and 75% in both English

and Mathematics. If 40 students failed in both the

subjects, the total number of students is:

(a) 200 (b) 400

25. In an examination, 35% candidates failed in one subject

and 42% failed in another subject while 15% failed in

both the subjects. If 2500 candidates appeared in the

examination, how many passed in either subject but

not in both?

(a) 325 (b) 1175

26. When the selling price of an article is Rs.280, the loss

percentage is 20%. What is the loss or gain percentage,

if the selling price is increased to Rs.380?

(a)

8 % profit

(b)

4 % loss

(c)

50 % profit

(d)

4 % profit

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ASET Mathematics (Class -5)

27. Ajeet calculates his profit percentage as a percentage

of selling price. He sells an item for Rs.150 and

calculates his profit percentage to be 20% What is the

true profit percentage?

(a) 20% (b) 25%

28. Profit earned by selling an article for Rs.1060 is 20%

more than the loss incurred by selling the article for

Rs.950. At what price should the article be sold to earn

20% profit?

(a) Rs.1000 (b) Rs.1150

29. A trade man marks his goods at 20% above the CP

and gives a discount of 10% for cash payments. What

profit percentage does he make?

(a) 8% (b) 6%

30. A man buys 25 chairs for Rs.375 and sells them at a

profit equal to the selling price of 5 chairs. What is the

selling price of one chair?

(a) Rs.18.75 (b) Rs.14.50

31. A grocer purchased 80 kg of rice at Rs.13.50 per

kilogram and mixed it with 120 kg of rice at Rs.16 per

kilogram. At what rate per kilogram should he sell the

mixture to gain 16%.

(a) Rs.14.50 (b) Rs.17.40

32. The cost price of 9 articles is equal to the selling price

of 11 articles. Find the loss percentage.

(a)

18 %

11 (b)

2 %

(c)

15 %

(d)

16 %

33. A cloth merchant claims to sell his material at cost price

but uses a scale which reads 1 m for 95 cm. Find his

gain percentage.

(a) 5.26% (b) 6.2%

34. If a man reduce the selling price of a fan from Rs.400

to Rs.380, his loss increases from x% to (x + 4)%.

What is the cost price of the fan?

(a) Rs.420 (b) Rs.550

35. A dishonest seller uses a weight of 800g in place of 1

kg and adds 20% impurities in sugar. What would be

his profit percentage if he claims to sell the goods at

the cost price?

(a) 50% (b) 40%

36. If the cost price of 36 books is equal to the selling price

of 30 books, then the gain percentage is

(a) 20% (b)

16 %

8 %

37. A man buys 6 dozen eggs for Rs.10.80 and 12 eggs

are found rotten and the rest are sold at 5 eggs per

rupee. Find his gain or loss percentage.

(a)

11 % gain

(b)

11 % loss

(c)

9 % gain

11 (d)

9 % loss

38. A businessman marked the price of his goods 30% more

than his cost price. He then sells 1/4 of his stock at a

discount of 15% and half of the stock at the marked

price, and rest at a discount of 30%. Find his gain

percentage.

(a) 16.5% (b)

15 %

39. A shopkeeper bought some pencils at 2 for Re.1, and

an equal number at 3 for Rs.2. He sold the entire lot at

5 for Re3. Find out his gain or loss percentage.

(a)

2 % loss

(b)

3 % gain

(c)

2 % gain

(d) None of these

4 AMITY INSTITUTE FOR COMPETITIVE EXAMINATIONS : Ph. : 24336143/44, 25573111/12/13/14, 95120-2431839/42

Mathematics (Class -5) ASET

40. If an article is sold at 8% profit instead of 8% loss, it

would have brought Rs.12 more. Find the cost price of

the article

(a) Rs.75 (b) Rs.72

41. Sunanda is making a profit of 25% on his selling price,

what is her actual profit percentage?

(a)

100 %

(b) 20%

42. If a selling price of Rs.24 results in a 20% discount of

the list price, the selling price that would result in a

30% discount of the list price is

(a) Rs.16 (b) Rs.21

43. A man sells two articles for the same price for Rs.640.

He earns 20% profit on the first and 10% profit on the

second. Find the over all percent profit.

(a) 14.78% (b) 14.08%

44. If a commission of 10% is given on the marked price

of an article, the gain is 25%. Find the gain percent if

commission is increased to 20%.

(a)

11 %

(b) 12%

(c)

100 %

(d)

50 %

45. A trader marks his goods 20% above the cost price

and allows a discount of 15% on it. Find his gain percent

(a) 4% (b) 5%

46. By selling 33 metres of cloth, one gains the selling price

of 11 metres. Find the gain percent

(a) 20% (b) 40%

47. A person incurrs a loss of 10% by selling a toy for

Rs.10.80. At what price he should sell the same to earn

a profit of 20%?

(a) Rs.12 (b) Rs.12.96

48. A man sold 250 chairs and had a gain equal to the selling

price of 50 chairs. His profit percent is

(a) 5% (b) 10%

49. By selling 110 mangoes, the CP of 120 mangoes is

realised. What is the gain percentage?

(a)

11 %

(b)

9 %

(c)

10 10 %

11 (d)

9 %

50. A man buys oranges at Rs.5 a dozen and an equal

number at Rs.4 a dozen. He sells them at Rs.5.50 a

dozen and makes a profit of Rs.50. How many oranges

does he buy?

(a) 30 dozens (b) 40 dozens

AMITY INSTITUTE FOR COMPETITIVE EXAMINATIONS : Ph. : 24336143/44, 25573111/12/13/14, 95120-2431839/42 5

A SE T Mathematics (Class -5 )

ANSWER

1. (b) 2. (a) 3. (c) 4. (d) 5. (a)

6. (d) 7. (a) 8. (b) 9. (a) 10. (c)

11. (c) 12. (a) 13. (c) 14. (a) 15. (a)

16. (d) 17. (d) 18. (d) 19. (c) 20. (c)

21. (d) 22. (b) 23. (d) 24. (b) 25. (b)

26. (a) 27. (b) 28. (d) 29. (a) 30. (a)

31. (b) 32. (a) 33. (a) 34. (c) 35. (a)

36. (a) 37. (a) 38. (b) 39. (c) 40. (a)

41. (a) 42. (b) 43. (a) 44. (a) 45. (d)

46. (c) 47. (c) 48. (c) 49. (d) 50. (c)

Class Exercise-5

Percentage, Profit and Loss

ASET-Employability & Skill Enhancement Course

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Assignment

Class Exercise-13 Permutation & Combination

AVERAGE CLASS-13

AREA VOLUME

RATIO & PROPOTION

CODING AND DECODING

LCM & HCF

CLOCK AND CALENDER

TIME AND WORK

RATION AND PROPORTION

PROFIT AND LOSS

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