Latest infosys Aptitude Question SOLUTION: which is a perfectsquare diveided by 21,36

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which is a perfectsquare diveided by 21,36

Asked In infosys keerthana (9 years ago)

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Deven Patidar  (9 years ago)

factors
21= 3*7
36= 6*6 = 2*2*3*3 (perfect square bcz all factors are in pair of 2)
No(perfect square) is divided by 21&36 both
it must have factors = 2 (2 times), 3 (2 times) for complete division by 36
7 (1 time) (no need to consider 3 again) for complete division by 21
factors=2*2*3*3*7 but No is perfect square so all factors must be in pair
No =2*2*3*3*7*7= 1764 (multiplied by 7 to form perfect square)

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Surit Datta  (9 years ago)

The question would be like
which is a perfect square divided by 21,36 and 66
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

Is this solution Helpfull? Yes (5) | No (9)  

sharatchandra  (9 years ago)

lcm of 21, 36 is 2*2*3*3*7

to make it a perfect square multiply with 7
1764 is the ans

Is this solution Helpfull? Yes (4) | No   

mohanraj  (9 years ago)

36
because 6*6

Is this solution Helpfull? Yes | No (1)  

amit  (9 years ago)

ans. 1764

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Deven Patidar  (9 years ago)

factors 21=3*7 36=2*2*3*3
3 and 7 needed for perfect square so number=3*7*21*36 = 15876

Is this solution Helpfull? Yes | No (1)  

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