There are some people standing in a queue including P and Q. P is standing exactly in the middle and Q is standing at the last. If there are 5 people between P and Q then which of the following will be the total number of people in the queue?
Question
There are some people standing in a queue including P and Q. P is standing exactly in the middle and Q is standing at the last. If there are 5 people between P and Q then which of the following will be the total number of people in the queue?
Solution
To solve this problem, we need to consider the positions of P and Q, and the people in between them.
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P is standing exactly in the middle of the queue. This means that the number of people before P is the same as the number of people after P.
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There are 5 people standing between P and Q. Since Q is at the end of the queue, these 5 people are all standing after P.
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Therefore, there must also be 5 people standing before P, to keep P in the middle.
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Including P and Q themselves, this gives a total of 5 (before P) + 1 (P) + 5 (between P and Q) + 1 (Q) = 12 people in the queue.
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