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Question : Directions: X is 7th from the top while Y is 16th from the bottom in the class ranking. If they interchange their positions, then X becomes 21st from the top. What will be the position of Y from the bottom?

Option 1: 16th

Option 2: 29th

Option 3: 21st

Option 4: 30th


Team Careers360 14th Jan, 2024
Answer (1)
Team Careers360 22nd Jan, 2024

Correct Answer: 30th


Solution : Given:
(I) X is 7th from the top while Y is 16th from the bottom in the class ranking.
It means above X there are 6 students and below Y there are 15 students as X is 7th from the top and Y is 16th from the bottom.


(II) If they interchange their positions, then X becomes 21st from the top.
Now X becomes 21st from the top, which means there are 20 students above X and it is clear that there are 6 students above Y.
So, students in between X and Y = 20 – 6 – 1 = 14 – 1 = 13

So, position Y from the bottom is equal to 15 + 1(X) + 13 + 1(Y) = 30th.

Hence, the fourth option is correct.

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