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There were 41 boys standing in a queue. Mahesh was shifted by five places towards his right side and he gets the middle position in the queue. What was his initial position from the left end of the queue?
  • a)
    16
  • b)
    17
  • c)
    15
  • d)
    18
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
There were 41 boys standing in a queue. Mahesh was shifted by five pla...
Mahesh gets middle position i.e. 21st position, when he is shifted by five places towards right. It means his initial position = 21 - 5 = 16th from left.
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Most Upvoted Answer
There were 41 boys standing in a queue. Mahesh was shifted by five pla...
Initial Position of Mahesh: 16

Explanation:

To solve this problem, let's break it down step by step:

Step 1: Calculate the total number of boys in the queue
The question states that there were 41 boys standing in a queue.

Step 2: Calculate the new position of Mahesh
According to the question, Mahesh was shifted five places towards his right side and he gets the middle position in the queue.
This means that there are an equal number of boys standing on both sides of Mahesh in the new position.

Since the total number of boys in the queue is odd (41), there will be a boy in the middle. Therefore, Mahesh's new position is the middle position.

Step 3: Calculate the position of Mahesh from the left end of the queue
To find Mahesh's initial position from the left end of the queue, we need to subtract the number of boys to his right in the new position from the total number of boys in the queue.

Since Mahesh's new position is the middle position, there are (41 - 1) / 2 = 40 / 2 = 20 boys to his right in the new position.

Therefore, Mahesh's initial position from the left end of the queue is 41 - 20 = 21.

However, Mahesh was shifted five places towards his right side. So, we need to subtract 5 from his initial position.

Therefore, Mahesh's initial position from the left end of the queue is 21 - 5 = 16.

Hence, the correct answer is option 'A' - 16.
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