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Arithmetic

Ratio Proportion Variation - MCQs and Answers

1. If A : B = 4 : 7 and B : C = 5 : 9 then A : B : C is………
a) 20 : 35 : 63
b) 35 : 36 : 63
c) 30 : 35 : 65
d) 25 : 34 : 68

2. If m : n = 3 : 4 and n : o = 8 : 9, then m : o is…………..
a) 1 :3
b) 3 :2
c) 2 : 3
d) 1 : 2

3. If 15% of A is the same as 20% of B, then A : B is………………
a) 3 : 4
b) 4 : 3
c) 17 : 16
d) 16 : 17

4. Which of the following ratios is greatest?
a) 7 : 15
b) 15 :23
c) 17 :25
d) 21 :29

5. The ratio of number of boys and girls in a class is 3 : 2. In the 1st semester exam 20% of boys and 25% of girls get more than or equal to 90% marks. What percentage of students get less than 90% marks?
a) 56
b) 70
c) 78
d) 80

6. A mixture of 85 kg contains milk and water in the ratio 27 : 7. How much more water is to be added to get a new mixture containing milk and water in the ratio 3:1?
a) 5 kg
b) 6.5 kg
c) 7.5 kg
d) 8 kg

7. The ages of Raju and Biju are in the ratio 3:1. Fifteen years hence, the ratio will be 2:1. Their present ages are……….
a) 30yrs, 10yrs
b) 45yrs, 15yrs
c) 21yrs, 7yrs
d) 60yrs, 20yrs

8. The speeds of three motor bikes are in the ratio 6 : 5 : 4. The ratio between the time taken by them to travel the same distance is :
a) 10 : 12 : 15
b) 12 : 10 : 8
c) 15 : 12: 10
d) 10 : 15 : 12

9. In a company 10% of male staff are same in number as 1/4th of the female staff. What is the ratio of male staff to female staff…………
a) 3 : 2
b) 5 : 2
c) 2 : 1
d) 4 : 3

10. The telephone bill of a certain establishment is party fixed and partly varies as the number of calls consumed. When in a certain month 540 calls made the bill is Rs.1800. In another month 620 calls are consumed then the bill becomes Rs.2040. In another month 500 units are consumed due to more holidays. The bill for that month would be…………..
a) Rs.1560
b) Rs.1680
c) Rs.1840
d) Rs.1950

11. If 0.4 of a number is equal to 0.06 of another number, the ratio of the numbers is………..
a) 2 : 3
b) 3 : 4
c) 3 : 20
d) 20 : 3

12. The ratio of incomes of two person P1 and P2 is 5 : 4 and the ratio of their expenditures is 3 : 2. If at the end of the year, each saves Rs.1600, then what is the income of P1?
a) Rs.800
b) Rs.2400
c) Rs.4000
d) Rs. 3200

13. The mean proportional between 234 and 104 is……….
a) 12
b) 39
c) 54
d) None of these

14. The seats in an Engineering college for Computer science, electronics and civil are in the ratio of 5 : 7 : 8. There is a proportion to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?
a) 2 : 3 : 4
b) 6 : 7 : 8
c) 6 : 8 : 9
d) none of these

15. If 96 is divided into four parts proportional to 5, 7, 4, 8 then the smallest part is………
a) 16
b) 14
c) 20
d) 18

16. The Price of 357 apples is Rs.2499. What will be the price of 49 dozen of such apples?
a) Rs.3800
b) Rs.2816
c) Rs.4116
d) Rs.3116

17. Some ladies can do a piece of work in 12 days. Two times the number of such ladies will do half of that work in…………
a) 6 days
b) 4 days
c) 12 days
d) 3 days

18. A piece of work can finish by a certain number of men in 100 days. If however, there were 10 men less, it would take 10 days more for the work to be finished. How many men were there originally?
a) 75
b) 82
c) 100
d) 110

19. It takes 10 days for digging a trench of 100 m long, 50 m broad and 10 m deep. What length of trench, 25 m broad and 15 m deep can be dug in 30 days?
a) 400 m
b) 200 m
c) 100 m
d) 89m

20. A wheel rotates 10 times every minute and moves 20 cm during each rotation. How many metres does the wheel move in one hour?
a) 6 metre
b) 12 metre
c) 120 metre
d) 1200 metre