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#1 2015-02-11 10:07:55

Ibraheem
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From: Capital
Registered: 2012-03-16
Posts: 23,140
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The least perfect square, which is divisible by?

Question:
The least perfect square, which is divisible by each of 21, 36 and 66 is:

Option A):
214434

Option B):
231444   
Option C):
214344

Option D):
213444

Correct Answer is Option D):
213444

Explanation:
L.C.M. of 21, 36, 66 = 2772.

Now, 2772 = 2 x 2 x 3 x 3 x 7 x 11

To make it a perfect square, it must be multiplied by 7 x 11.

So, required number = 22 x 32 x 72 x 112 = 213444

2015-02-11 10:07:55

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