Aptitude | Arithmetic Aptitude 2 | Question 6

What should be the value of x in equation (x / √216) = (√96 / x)
(A) 12
(B) 13
(C) 9
(D) 11

Answer: (A)
Explanation:

Let (x / √216) = (√96 / x)

Then x2 = √(216 x 96)
       = √(36 x 2 x 3 x 16 x 2 x 3)
       = √(62 x 42 x 22 x 32)
       = 6 x 4 x 2 x 3
       = 144
Or x = 12

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