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Mixture & Alligations

42.Three vess...

Question

42.Three vessels V1, V2 and V3 each of equal capacities are 75% filled with Milk, Water and Alcohol respectively. The following steps are done in order

Step 1 : 1/4th of content of V1 is transferred to V2.

Step 2: 1/4th of content of V2 is transferred to V3.

Step 3: 1/4th of content of V3 is transferred to V1.

After the above steps are done, what is the ratio of Milk, Water and Alcohol in V1?

(a) 49:4:16

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(b) 49:16:4

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(d) 4:49:16

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Solution

The correct option is A
(a) 49:4:16

Ans42:(a) Sol: 49:4:16 ; Take the quantities in all the vessels to be 64 litres and proceed accordingly.

V1 V2 V3
Initially 64M 64W 64A
After Step1 48M 64W+16M 64A
After Step2 48M 48W+12M 64A+16W+4M
After Step3 (48M+16A+4W+1M) 48W+12M 48A+12W+3M

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The correct option is A (a) 49:4:16 Ans42:(a) Sol: 49:4:16 ; Take the quantities in all the vessels to be 64 litres and proceed accordingly. V1 V2 V3 Initially 64M 64W 64A After Step1 48M 64W+16M 64A After Step2 48M 48W+12M 64A+16W+4M After Step3 (48M+16A+4W+1M) 48W+12M 48A+12W+3M

The correct option is A
(a) 49:4:16

Ans42:(a) Sol: 49:4:16 ; Take the quantities in all the vessels to be 64 litres and proceed accordingly.

V1 V2 V3
Initially 64M 64W 64A
After Step1 48M 64W+16M 64A
After Step2 48M 48W+12M 64A+16W+4M
After Step3 (48M+16A+4W+1M) 48W+12M 48A+12W+3M