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

## 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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