In a row, Sanjay is at the 11th position from the top and the 13th position…

2024

In a row, Sanjay is at the 11th position from the top and the 13th position from the bottom. How many people are there in the row?

  1. A.

    24

  2. B.

    23

  3. C.

    25

  4. D.

    26

Show answer & explanation

Correct answer: B

Concept: When a person's position is given from both ends of a row (from the top and from the bottom), that person is counted once in each of the two counts. So the total number of people in the row = (position from top) + (position from bottom) − 1 — the “−1” removes the duplicate count of that one person.

Application:

  1. Sanjay's position from the top = 11.

  2. Sanjay's position from the bottom = 13.

  3. Total people in the row = 11 + 13 − 1 = 24 − 1 = 23.

Cross-check: If there are 23 people in total and Sanjay is 11th from the top, then his position from the bottom should be 23 − 11 + 1 = 13, which matches the given information — confirming the answer.

Answer: There are 23 people in the row.

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