Aptitude - Square Root and Cube Root - Discussion

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"Time and tide wait for none."

- Alexander Pope

What should come in place of both x in the equation x = 162 .

128 x

[A].	12	[B].	14
[C].	144	[D].	196

Answer: Option B

Explanation:

Let x = 162

128 x

Then x² = 128 x 162

= 64 x 2 x 18 x 9

= 8² x 6² x 3²

= 8 x 6 x 3

= 144.

x = 144 = 12.

S.Ramkumar said: (Sun, Oct 30, 2011 11:49:12 PM)

You split 162=18*9 how we can understand this because there are so many possibles are there to split 162 and how we can find this exact split.

Sreedevi said: (Sun, Jan 8, 2012 07:38:04 AM)

You can see that 162 is divisible by 9.i.e.(1+6+2)=9 which is a multiple of 9.so it makes calculation easier if one factor is a perfect square. You can split 162 as 81*2 also where 81 is a perfect square.