CSATLogical ReasoningRanking and Order2017

15 students failed in a class of 52. After removing the names of failed students, a merit order list has been prepared in which the position of Ramesh is 22nd from the top. What is his position from the bottom?

A

18th

B

17th

C

16th

D

15th

Correct Answer: Option C

Explanation

First, we need to find the actual number of students in the merit list. The question tells us 15 students failed out of 52. Using the 'Complementary Logic' seen in previous years [6, 8], we subtract the failures from the total: 52 - 15 = 37 students in the merit list.\n\nNow, the problem is simple: Ramesh is 22nd from the top in a line of 37 people. We need to find his rank from the bottom.\n\nWe can do this intuitively using the 'Set Partitioning' method [13]:\n- If Ramesh is 22nd, that means there are 22 people up to and including him.\n- How many people are 'after him' or below him? Simple subtraction: 37 (Total) - 22 (Ramesh & above) = 15 people below him.\n\nIf there are 15 people below him, his position from the bottom is the very next spot. So, 15 + 1 = 16th.\n\nThis confirms the standard ranking formula [1]: (22 + 16) - 1 = 37.

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