In a Bank ATM queue, A is 22 from the back of the queue and B is 12 from the…

2023

In a Bank ATM queue, A is 22 from the back of the queue and B is 12 from the front of the queue. There are four people ahead of A to reach B. If three people got money from an ATM and left the queue, what was the position of A from the front?

  1. A.

    12

  2. B.

    14

  3. C.

    13

  4. D.

    None

Attempted by 6 students.

Show answer & explanation

Correct answer: B

Solution:

  • Let the total number of people in the queue be N. A is 22nd from the back, so A's position from the front is N - 21.

  • B is 12th from the front, so position of B = 12.

  • There are four people between A and B, so A is 12 + 5 = 17 from the front initially.

  • Set N - 21 = 17 ⇒ N = 38 (total people).

  • Three people ahead of A leave the queue, so A's new position from the front is 17 - 3 = 14.

Answer: 14

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