Some persons are standing in a queue. If the lastperson moves to the front, then the position of themiddle person changes to fourteenth from last. Whatwill be the position of the third person from last whenseen from front?

Given: 

Some persons are standing in a queue.

If the last person moves to the front, then the position of the middle person changes to fourteenth from last.

Solution:

Assume the total number of people is x

In a queue with x people, the middle person would be at position:

(x + 1) ÷ 2 → (because that’s the middle position)

Now, when the last person moves to the front, everyone shifts one position back.

So the middle person now moves one position forward in the queue.

((x + 1) ÷ 2) + 1

But it's also given that this new position is 14th from the end.

New position from the front = x - 13

So, now we equate the two:

((x + 1) ÷ 2) + 1 = x - 13

(x + 1) ÷ 2 + 1 = x - 13

Multiply both sides by 2 to get rid of the fraction:
(x + 1) + 2 = 2x - 26

x + 3 = 2x - 26

3 + 26 = 2x - x

So, x = 29

Third from the end = 29 - 3 + 1 = 27th from the front

27th will be the position of the third person from last when seen from front.

Thus, correct option is (d).