CAT 2025 Slot 3 QA Question 18: Vessels A and B contain 60 litres of alcohol and 60 litres of water, respectively. A certain volume is taken out from A and poured into B. After stirring, the same volume is taken out from B and poure

Question

Vessels A and B contain 60 litres of alcohol and 60 litres of water, respectively. A certain volume is taken out from A and poured into B. After stirring, the same volume is taken out from B and poure

Accepted Answer

Let the volume transferred each time be $v$ litres.
After $v$ litres of alcohol is transferred from $A$ to $B$, vessel $B$ has $v$ litres of alcohol and $60$ litres of water, so the total in $B$ is $60+v$ litres.
When $v$ litres is taken back from $B$ to $A$, the alcohol and water returned are
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