Assignment : Ratio and Proportion

1. A purse contains 50 paisa, 25 paisa and one rupee coins in the ratio of 5:2:5. Find the number of 50

paisa coins given that the difference between the total value of 25 paisa coins and 50 paisa coins is Rs 8?

a. 20 b. 10 c. 15 d. 5

2. The height of Jahanvi varies to the square root of her age. What will be her height of Jahanvi after 7

years , if she is 4 feet tall at the age of 9 years?

a. 5 ft b. 5 ft 2 inches c. 5 ft 4 inches d. 6 feet

3. The marks score by a student in three subjects in the ratio of 4:5:6. If the candidate scored an overall

aggregate of 60% of the sum of maximum marks and the maximum marks in all the three subjects is

same, in how many subjects he scored more than 60%?

a. 0 b. 1 c. 2 d. 3

4. Time taken by a pendulum to complete the oscillation is directly proportional to the square root of the

length of the pendulum. At a given time, when the length of the pendulum was 9 cm, time taken was 12

seconds. Find the length if the clock takes 4 seconds to complete an oscillation?

a. 4 cm b. 1 cm c. 3.6 cm d. 1.6 cm

5. 729 ml of a mixture 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. 72 litres b. 64 litres c. 81litres d. 94 litres

6. The mean proportional between 0.04 and 25 is

a. 3 b. 1 c. 2 d. 4

7. The proportion of milk and water in 3 samples is 2:1 , 3:2 and 5:3. A mixture comprising of equal

quantities of all 3 samples is made. The proportion of milk and water in the resultant mixture is :

a. 227 : 133 b. 133 :227 c. 123 : 231 d. 231 : 123

8. If a : b = c : d and e : f = g : h , then (ae + bf ) : ( ae – bf ) =

a. (e+f)/(e-f) b. (cf+dh)/(dh-cg) c. (cg+dh)/(cg-dh) d. None of these

9. In a class, there are a total of 80 boys and girls. Which of the following can’t represent the ratio of the

number of boys and girls in the class?

a. 3:5 b. 1:3 c. 2: 3 d. 1: 6

10. The cost of the precious stone varies directly as the square root of its weight. A stone broke into three

pieces whose weights are in the ratio of 1:4:4. As result its value went up by Rs 12000. Find its initial

value.

a. Rs 9000 b. Rs 12000 c. Rs 15000 d. Rs 18000

11. Find x: y: z if 3x + y = 5z and 4x + 5y = 14z

a. 1:1:1 b. 2:1:1 c. 1:2:1 d. 1:1:2

12. The total monthly sales of two companies A and B are in the ratio 2:3 and their total monthly

expenditures are in the ratio 3:4. Find the ratio of the profits of the two companies given that the

company A’s profit is equal to 1/5th of its sales?

a. 13:6 b. 11:6 c. 6: 11 d. 4: 7

13. If 3150 is divided into four parts such that half of the first part , one third of the second part, one fourth

of the third part is equal to the one-twelfth of the fourth part, then the third part is

a. 300 b. 450 c. 600 d. 1200

14. The sum of the present ages of a man and his wife is 60 years. When the women attains her husband’s

present age, he ratio of the ages her husband and her daughter will be 2:1. Find the present age of her

daughter in years.

a. 10 b. 15 c. 20 d. 25

15. If x/4 years ago, Alok was 14 years old and x/4 years from now he will be 4x years old. How old , will

he be 5x years from now?

a. 32 b. 35 c. 30 d. 40

16. If a,b,c are in continued proportion, then which of the following equals c:a?

a. b2 : a

2 b. ( c

2 – b

2)/(b

2- a

2) c. c

2 : b

2 d. all of these.

17. Find the total number of 1 Rupee, 50 paisa and 25 pasisa coins are there if they are in the ratio 4:5:6

respectively and together amount to Rs 32.

a. 60 b. 75 c. 24 d. 40

18. Rs 50 is divided among 6 men, 12 women and 17 boys such that 2 men get as much as 5 boys and 2

women as much as 3 boys. What is the share of each boy?

a. Rs 4 b. Rs 2.5 c. Rs 1.5 d. Re 1

19. The ratio of marks obtained by Akul and Sahil is 6:5. If the combined average of their percentage is

68.75 and the sum of their marks is 275. Find the maximum marks.

a. 200 b. 275 c. 400 d. 500

20. An employer reduces the number of employees by 1/9th and increases their wages by 1/14

th. What is the

ratio of their total wages paid before and after the raise?

a. 10:11 b. 11 :10 c. 21 : 20 d. 7: 8

21. In a cricket match, for a batsman, the ratio of runs scored to the number of balls faced is 3:4 for the first

100 balls. What should be the ratio of balls faced to runs scored in the next 100 balls if he wants to make

runs and balls equal?

a. 4:3 b. 5:4 c. 5: 6 d. 4:5

22. If the ratio of the speed of A,B and C is 2:3:4, then what will be the time taken by B to cover a certain

distance if the same distance is covered by C in 36 minutes.

a. 24 min b. 48 min c. 27 min d. None of these.

23. A had 2 pastries , B had 3 pastries and C had none. They share the pastries equally among them and C

paid them Rs 12. Find the share of A.

a. Rs 2.40 b. Rs 4.80 c. Rs 7.20 d. Rs 3.60

24. A balloon can go up in the air at the rate of 24kmph and its speed diminishes by the quantity which

varies as the square root of the number of stones attached to it . With 4 stones attached, its speed is 20

kmph. The maximum number of stones with which the balloon can go up in the air is :

a. 142 b. 143 c. 144 d. None of these.

25. Rs 735 was divided between A,B and C . If each of them had received 25 less , their share would have

been in the ratio of 1:3:2. What is the money received by C?

a. Rs 270 b. Rs 260 c. Rs 250 d. Rs 245

26. If a + b : b + c : c + a = 3 : 4 : 5 , find a : b : c

a. 1:2:3 b. 2:1:3 c. 2:3:1 d. 1: 3 : 2

27. A,B,C intended to divide a certain sum among themselves in the ratio 2:3:4. By mistake , they divided it

in the ratio ½: 1/3: ¼ . How many A,B and C lost due to this mistake?

a. 0 b. 1 c. 2 d. 3