a total of 110 adults are standing in a queue for concert tickets,there are at least 3 women and 2 men.what is the greatest possible number of men in the queue
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think you are referring to largest number of men.
The largest men if we arrange as
MwwwMwwwMww
So the M will be in position 1,5,9 and repeated till before or including 110.
We see that the pattern repeated is Mwww, for every 4 people.
Hence 110÷4 gives 27r2. So the number of men will be 27 +1 as the last group will have one more man. The ans is 28 man.
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