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05 Jun 2020 : Perfect Square

The least perfect square, which is divisible by each of 15, 20 and 36 is:

OPtion

1) 2500
2) 3600
3) 4900
4) 900
5) 1600
6) 8100
7) 6400
8) 400
9) 1250
10) None of these

Solution

LCM of 15, 20 and 36 is 180

180 could be represented as => 3 x 3 x 2 x 2 x 5

For a perfect square, LCM must
be multiplied with 5.

So required no. = 3^2 x 2*2 x 5^2 = 900

Correct Option: 4 Best Solution (0)