(IGP) IAS Pre Paper - 2: GS - Basic Numeracy - Ratio & Proportion (MCQ -8)

1. Ratio of the earnings of A and B is 4 : 7. If the earnings of A increase by 50% and those of B decrease by 25%, the new ratio of their earnings becomes 8 : 7. What are A’s earnings?
(a) Rs. 25,000
(b) Rs. 26,000
(c) Rs. 29,000
(d) Rs. 24,000

2. What least number must be subtracted fromeach of the numbers 14, 17, 34 and 42 so that the remainders may be proportional?
(a) 4
(b) 3
(c) 2
(d) 9

3. In a mixture of 60 litres, the ratio of milk and water is 2 : 1. If this ratio is to be 1 : 2, then the quantity of water to be further added is:
(a) 30 litres
(b) 70 litres
(c) 40 litres
(d) 60 litres

4. The fourth proportional to 5, 8, 15 is :
(a) 22
(b) 24
(c) 23
(d) 20

5. The mean proportional between 234 and 104 is:
(a) 16
(b) 40
(c) 54
(d) None of these

6. The third proportional to 0.36 and 0.48 is:
(a) 0.64
(b) 0.1728
(c) 0.44
(d) 0.82

7. The ratio of third proportional to 12 and 30 and the mean proportional between 9 and 25 is:
(a) 4 : 1
(b) 5 : 1
(c) 7 : 15
(d) 8 : 14

8. In a ratio, which is equal to 3 : 4, if the antecedent is 12, then the consequent is:
(a) 10
(b) 16
(c) 20
(d) 22

9. The prices of a scooter and a T.V. are in the ratio 7 : 5. If the scooter costs Rs. 8000 more than a T.V. set, then the price of a T.V. set is:
(a) Rs. 10,000
(b) Rs. 42,000
(c) Rs. 28,000
(d) Rs. 32,000

10. An amount of Rs. 735 was divided between A, B and C. If each of them had received Rs. 25 less, their shares would have been in the ratio of 1 : 3 : 2. The money received by C was:
(a) Rs. 198
(b) Rs. 228
(c) Rs. 225
(d) Rs. 245

11. An amount of Rs. 2430 is divided among A, B and C such that if their shares be reduced by Rs. 5, Rs. 10 and Rs. 15 respectively, the remainders shall be in the ratio of 3 : 4 : 5. Then, B’s share was:
(a) Rs. 609
(b) Rs. 798
(c) Rs. 845
(d) Rs. 810

12. The ratio between two numbers is 3 : 4 and their L.C.M. is 180. The first number is:
(a) 80
(b) 45
(c) 25
(d) 15

13. 60 kg of an alloy A is mixed with 100 kg of alloy B. If alloy A has lead and tin in the ratio 3 : 2 and alloy B has tin and copper in the ratio 1 : 4, then the amount of tin in the new alloy is:
(a) 38 kg
(b) 44 kg
(c) 55 kg
(d) 84 kg

14. Gold is 19 times as heavy as water and copper is 9 times as heavy as water. In what ratio should these be mixed to get an alloy 15 times as heavy as water?
(a) 1 : 1
(b) 4 : 3
(c) 5 : 2
(d) 3 : 2

15. The electricity bill of a certain establishment is partly fixed and partly varies as the number of units of electricity consumed. When in a certain month 540 units are consumed, the bill is Rs. 1800. In another month 620 units are consumed and the bill is Rs. 2040. In yet another month 500 units are consumed. The bill for that month would be:
(a) Rs. 1605
(b) Rs. 1680
(c) Rs. 1840
(d) Rs. 2050

16. The ratio of the incomes of A and B is 5 : 4 and the ratio of their expenditures is 3 : 2. If at the end of the year, each saves Rs. 1600, then the income of A is:
(a) Rs. 3800
(b) Rs. 4800
(c) Rs. 4000
(d) Rs. 4500

17. Zinc and copper are melted together in the ratio 9 : 11. What is the weight of melted mixture, if 28.8 kg of zinc has been consumed in it?
(a) 58 kg
(b) 80 kg
(c) 64 kg
(d) 90 kg

18. The compounded ratio of (2 : 3), (6 : 11) and (11 :  2) is:
(a) 7 : 2
(b) 2 : 1
(c) 11 : 24
(d) 58 : 121

19. If 0.75 : x:: 5 : 8, then find x.
(a) 12
(b) .12
(c) 1.2
(d) 120

20. In a ratio which is equal to 3 : 7, if the antecedent is 33, what is consequent ?
(a) 37
(b) 77
(c) 73
(d) 70

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