QUANTITATIVE TOPIC

1. A 456 litre mixture of milk and water contains milk and water in the ratio 7:5 .How
much milk should be added to the mixture to get a new mixture of milk and water in the
ratio of 9 : 5?
A. 80 lit
B. 86 lit
C. 76 lit
D. 75 lit

2. A man has Rs.2000 , part of which he lent at 5% and the rest at 4%. The whole annual
interest received was Rs.92. How much did he lend at 5%?
A. 1200
B. 1400
C. 1300
D. 1500

3. The average salary per head of all the officers and workers in a factory is Rs.70. The
average salary per head of 12 officers is Rs.400 and the average salary per head of the rest
is Rs.60. Find the numbers of workers in the factory?
A. 300
B. 350
C. 380
D. 396

4. Vessel A contains 36 litres of mixture of milk and water Vessel B contains 80 litres of
mixture of milk and water. The respective ratio of milk and water in vessel A is 3 : 2 and
the respective ratio of milk and water in the vessel B is 7:3. If 18 litres of mixture is taken
out from vessel B and added to vessel A , how many litres of water will be there in vessel
A?
A. 21.4
B. 19.8
C. 17.6
D. 20.4

5. In a 140 litre mixture of milk and water , the percentage of water is only 30%. The
milkman gave 20 litres of this mixture to a customer. Then he added equal quantities of
pure milk and water to the remaining mixture. As a result the ratio of milk and water in
the mixture became 2 : 1. What was the quantity of milk added?
A. 12
B. 15
C. 18
D. 8

6. A jar was full with honey. A person used to draw out 20% of the honey from the jar and
replaced it with sugar solution. He has repeated the same process 4 times and thus there
was only 512 gm of honey left in the jar , the rest part of the jar was filled with the sugar
solution. The initial amount of honey in the jar was?

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Department of Training
QUANTITATIVE TOPIC

A. 1.25 kg
B. 1 kg
C. 1.5 kg
D. None of these

7. From a container , 6 litres milk was drawn out and was replaced by water. Again 6 litres
of mixture was drawn out and was replaced by the water. Thus the quantity of milk and
water in the container after these two operations is 9 : 16. The quantity of mixture is?
A. 15
B. 16
C. 25
D. 31

8. The average weight of boys in a class is 30kg and the average weight of girls in the same
class is20 kg. If the average weight of the whole class is 23.25 kg , what could be the
possible strength of boys and girls respectively in the same class?
A. 14 and 26
B. 13 and 27
C. 17 and 27
D. None of these

9. The ratio of water and alcohol in two different containers is 2 : 3 and 4 : 5. In what ratio
we are required to mix the mixtures of two containers in order to get the new mixture in
which the ratio of alcohol and water be 7 : 5?
A. 7 : 3
B. 5 : 3
C. 8 : 5
D. 2 : 7

10. There are some shepherds and their sheep in a grazing field. The number of total heads
are 60 and total legs are 168 including both men and sheep. The number of sheep is?
A. 18
B. 26
C. 24
D. 36

11. In what ratio should two qualities of coffee powder having he rates of Rs. 47 per
kg and Rs. 32 per kg be mixed in order to get a mixture that would have a rate of
Rs. 37 per kg?
A. 1:2
B. 2:1
C. 1:3
D. 3:1

12. In what ratio should water be mixed with soda costing Rs. 12 per litre so as to
make a profit of 25% by selling the diluted liquid at Rs. 13.75 per litre?

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Department of Training
QUANTITATIVE TOPIC

A. 10:1
B. 11:1
C. 1:11
D. 12:1

13. A sum of RS 36.90 is made up of 90 coins that are either 20p coins or 50p coins.
Find out how many 20 paise coins are there in the total amount?
A. 47
B. 43
C. 27
D. 63

14. A dishonest grocer professes to sell pure butter at cost price, but he mixes it with
adulterated fat & thereby gains 25%. Find the percentage of adulterated fat in the
mixture assuming that adulterated fat is freely available?
A. 20%
B. 25%
C. 33.33%
D. 40%

15. A mixture of 70 liters of alcohol and water contains 10% of water. How much
water must be added to the above mixture to make the water 12.5% of the
resulting mixture?
A.1 litre
B. 1.5 litres
C. 2 litres
D. 2.5 litres

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Department of Training