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A child goes to play with some pebbles in his bag. The number of pebbles is such that he can arrange them in rows of 18, 10 and 15 & form a square in each case. How many minimum number of pebbles are there in his bag?
90
900
800
700
We need the least number, which means we must first find LCM of 18, 10 and 15 ∴ LCM = 3 x 2 x 5 x 3 = 90 90 is not a perfect square. 90 = 3 x 3 x 2 x 5 Here there are two 3's (this gives square of 3) but only one 2 and one 5 If we multiply by 2 and 5 then we get, 3 x 3 x 2 x 2 x 5 x 5 = 900 900 is perfect square = number of marbles
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