CAT 2022 Slot 1 QA Question 22: Pinky is standing in a queue at a ticket counter. Suppose the ratio of the number of persons standing ahead of Pinky to the number of persons standing behind her in the queue is $3 : 5$. If the total

Question

Pinky is standing in a queue at a ticket counter. Suppose the ratio of the number of persons standing ahead of Pinky to the number of persons standing behind her in the queue is $3 : 5$. If the total

Accepted Answer

Let the number of persons ahead of Pinky and behind Pinky be $3k$ and $5k$ respectively.
Total number of persons in the queue = $3k + 5k + 1 = 8k + 1$
$8k + 1 
$\Rightarrow 8k 
$\Rightarrow k 
The largest integer value of $k$ is $37$.
Maximum number ahead of Pinky = $3k = 3 	imes 37 = 111$
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