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