SSC CGL Tier II 1 Dec 2016 Paper 1

Question : 25 of 100

Marks: +1, -0

Three containers have their volumes in the ratio 3 : 4 : 5. They are full of mixtures of milk and water. The mixtures contain milk and water in the ratio of (4 :1), (3 : 1) and (5 : 2) respectively. The contents of all these three containers are poured into a fourth container. The ratio of milk and water in the fourth container is

4 : 1
151 : 48
157 : 53
5 : 2

Validate

Solution:

(3) Let the volumes of three containers be 3 litres, 4 litres and 5 litres respectively.
Container–I
Milk

= {4 ×3}/{5}= {12}/{5}

litres,
Water

= {3}/{5}

litre
Container–II
Milk

= {4 ×3}/{4}= 3

litres,
Water

= 1

litre
Container–III
Milk

= {5 ×5}/{7}= 25/7

litres,
Water

= 10/7

litre
∴ Required ratio in container–IV

= ( {12}/{5}+3+ {25}/{7} ) : ( {3}/{5}+1+ {10}/{7} )

= ( {84+105+125}/{35} ) : ( {21+35+50}/{35} )

= {314}/{35} : {106}/{35}

=157 : 53

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