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Question:
In a queue, the position of A from the front is 7th, and the position of B from the front is 15th and 21st from the back.
Now find the position of A from the back.

Options:
(1) 30th
(2) 28th
(3) 29th
(4) 31st

1 Answer

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To solve the problem, let’s determine the total number of people in the queue and then calculate the position of A from the back.


Step 1: Determine Total Number of People in the Queue

The position of B from the front is 15th, and the position of B from the back is 21st.
The formula to find the total number of people in a queue is:

Total People=Position from Front+Position from Back−1\text{Total People} = \text{Position from Front} + \text{Position from Back} - 1

Substitute the values for B:

Total People=15+21−1=35\text{Total People} = 15 + 21 - 1 = 35Total People=15+21−1=35


Step 2: Find A’s Position from the Back

The position of A from the front is 7th. The formula to find the position from the back is:

Position from Back=Total People−Position from Front+1\text{Position from Back} = \text{Total People} - \text{Position from Front} + 1

Substitute the values for A:

Position from Back=35−7+1=29\text{Position from Back} = 35 - 7 + 1 = 29Position from Back=35−7+1=29


Final Answer:

(3) 29th

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