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Kenny Alone

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					                              Kenny Alone

Kenny’s school has less than 100 pupils.

When the head teacher tried to line the pupils up in
pairs, little Kenny had no partner. She tried lining them
up in threes but again little Kenny was left on his own.
She tried lining them up in fours and finally fives but
each time Kenny was alone.

How many pupils were there in the school?

Explain how you got this answer.

Ignore the trivial answer of there being only one pupil in the school !




Answer

There are 61 pupils in the school

The number must have a remainder of 1 when divided by 2, 3, 4 and 5

The number is therefore 3 x 4 x 5 + 1 = 61

				
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posted:2/27/2010
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