Aptitude - Square Root and Cube Root - Discussion

Discussion Forum : Square Root and Cube Root - General Questions (Q.No. 3)
3.
The least perfect square, which is divisible by each of 21, 36 and 66 is:
213444
214344
214434
231444
Answer: Option
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

Discussion:
80 comments Page 3 of 8.

Ganesh Policherla said:   9 years ago
We can get the perfect square must multiplied 7 x 11.

Harish said:   9 years ago
Is there any other method to solve the question? If yes please tell me the trick.

Yassmin said:   9 years ago
A square number is when you times a number or numbers to itself.

Ravinesh kumar said:   10 years ago
This solution is not satisfactory.

Ravinesh kumar said:   10 years ago
I am not satisfy with this solution.

Gaurav said:   10 years ago
Can't understand how 7*11 is considered and what about 2*2 & 3*3?

YASH said:   10 years ago
We divide all answer option by 21, 36, 66 and find a option.

Raaj said:   1 decade ago
How the answer come like this?

Sheikh Muhammad Ammar said:   1 decade ago
I think according to maths rule 7 & 11 must be multiplied on both ends.

Hence 2^2*3^2*7*11*(7*11) = 2772*7*11.

= 2^2*3^2*7^2*11^2 = 213444.

Rahul Gupta said:   1 decade ago
This solution is very confusing, kindly explain in simple manner.


Post your comments here:

Your comments will be displayed after verification.