CAT 2022 Slot 1 Paper

Question : 65 of 66

Marks: +1, -0

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 number of persons in the queue is less than 300, then the maximum possible number of persons standing ahead of Pinky is

Your Answer:

Validate

Solution:

Let the number of persons standing ahead and behind of Pinky be

3 a

and

5 a

.
Total number of persons

=3 a+5 a+1

(including pinky)

=8 a+1

8 a+1< 300

8 a< 300

{\a}< 37.5

Maximum value a can take is 37 .
The maximum possible number of persons standing ahead of Pinky

=3 a=3 × 37=111

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