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Question

In a college students' list, Akash is 15th from the top and 20th from the bottom. How many students are there in the list?

This question was previously asked in
SSC CHSL 2025 Tier 1 Question Paper (21-Nov-2025) (Shift 1)
The correct answer is

34

This is a ranking problem where a single person's position is measured from both ends of a line, and we must recover the total count.

Akash is 15th from the top, so 14 students stand above him and he himself occupies the 15th place.

Akash is also 20th from the bottom, so 19 students stand below him with Akash occupying the 20th place from that end.

If we simply add the two ranks, \(15 + 20 = 35\), Akash gets counted once from the top and once again from the bottom, so he is double-counted.

To correct the double count we subtract one for Akash himself: total \(= 15 + 20 - 1 = 34\).

The general rule for a position counted from both ends is Total \(=\) (rank from top) \(+\) (rank from bottom) \(- 1\).

So the number of students in the list is 34.

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Important Questions from Ordering and Ranking

  1. A medical representative plans to visit each of six hospitals — A, B, C, D, E and F — exactly once during the course of one day. He is setting up his schedule for the day according to the following conditions:

    i. He must visit A before B and E.

    ii. He must visit B before D.

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  2. Sonam is older than Renu. Komal is younger than Renu. Priya is older than Sonam. Who is the eldest of them?

  3. Five men P, Q, R, S and T are reading a newspaper. The one who reads it first, gives it to T. The one who reads it last, had taken it from R. Q is not the first or last one to read it. There were two readers between P and R. Who is the third one to have read the newspaper?

  4. P, Q, R, S, T and U are standing in a queue. Q is just ahead of P. S is just behind T. U is NOT near R, who is separated from Q by two persons. Who is standing at the front of the queue?

  5. Five students took part in a cycling competition. Robert finished before Monish but behind Gunjan. Anil finished before Sunil but behind Monish.

    Who won the competition?

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