Reasoning : Logical Reasoning & Analytical Ability

Q 185 / 325

UPSC CSE Prelims 2017

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?

EXPLANATION

Correct Option

The total number of students in the class is 52. Given that 15 students failed, the number of students who passed and are included in the merit order list is calculated as 52 − 15 = 37 students.

Ramesh's position from the top in this merit list is 22nd. This means there are 21 students ranked above him (22 − 1 = 21).

To determine the number of students ranked below Ramesh, subtract his position from the total number of students in the merit list: 37 − 22 = 15 students.

Ramesh's position from the bottom is found by adding 1 to the number of students below him: 15 + 1 = 16th.

Incorrect Options

Options 1 (18th), 2 (17th), and 4 (15th) are incorrect. These results would arise from errors in calculation, such as using the total class strength (52) instead of the merit list strength (37) for the ranking calculation, or misapplying the formula for determining rank from the bottom. For example, stating Ramesh's rank as 15th from the bottom would imply that there are 15 students below him, but not including Ramesh himself in the count from the bottom, which is an incorrect application of ranking principles.

Explanation figure for the question: 15 students failed in a class of 52. After removing the names of failed students, a merit…