In a queue, John is 13th from the front and Mary is 15th from the back. If there are 5 people between them, and John is ahead of Mary, what is the total number of people in the queue?
33
John is 13th from the front, Mary is 15th from the back, there are 5 people between them, and John is ahead of Mary.
'John is ahead of Mary' means John is nearer the front, so his position from the front and Mary's position from the back do not overlap.
When the two reference points are counted from opposite ends and the persons do not overlap, the total = (rank of first from its end) + (persons between) + (rank of second from its end).
Here that gives total \(= 13 + 5 + 15\).
Compute the sum: \(13 + 5 = 18\).
Then \(18 + 15 = 33\).
So the queue has 33 people, which matches the first option.
Hence the correct answer is 33.
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