Sun	Mon	Tue	Wed	Thu	Fri	Sat
23	24	25	26	27	28	1
2	3	4	5	6	7	8
9	10	11	12	13	14	15
16	17	18	19	20	21	22
23	24	25	26	27	28	29
30	31	1	2	3	4	5

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Multiple Choice Questions

A child goes to play with some pebbles in his bag The number of pebbles is such that he can ar...........

Math and Mental Ability LCM, HCF

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?

900

800

700

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Explanation:

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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