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Wednesday, July 22, 2009

GMAT question of the day

A heap of pebbles can be made up exactly into groups of 25,,but when made up into groups of 18,27,32,there is in each case a remainder of 11 what is the least number of pebbles that heap contains ?

1)100 2)875 3)864 4)760

LCM of 18,27,32 is 864 and LCM would be exactly divisible by all 3. So to get a reminder of 11 we need to add 11 to 864 = 875 which is also divisible by 25