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
Answer
Correct Answer : a ) 111
Explanation :It us given that,
Number of persons ahead of Pinky : Number of persons behind Pinky = 3 : 5
Let us say, Number of persons ahead of Pinky = 3x
Then, Number of Persons behind Pinky = 5x
Total number of persons in the queue < 300
Total number of persons = 3x + 5x + 1 (here +1 is being done to count PInky)
Total number of Persons = 8x + 1 < 300
8x < 299
x < 37.7
As the number of persons can only be an integral value only, the maximum possible value of x = 37
Now, Maximum Number of persons ahead of Pinky = 3x = 3 * 37 = 111
Maximum Number of persons behind Pinky = 5x = 5 * 37 = 185
Hence, the correct answer is (a).
This question was asked in CAT 2022 QUANT slot 1 Question paper.
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