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(25)7.5 x (5)2.5 ÷ (125)1.5 = 5?

/ Aptitude, Surds And Indices / By
Question: (25)7.5 x (5)2.5 ÷ (125)1.5 = 5?
[A].

8.5

[B].

13

[C].

16

[D].

17.5

Answer: Option B

Explanation:

Let (25)7.5 x (5)2.5 ÷ (125)1.5 = 5x.

Then, (52)7.5 x (5)2.5 = 5x
(53)1.5
5(2 x 7.5) x 52.5 = 5x
5(3 x 1.5)
515 x 52.5 = 5x
54.5

5x = 5(15 + 2.5 – 4.5)

5x = 513

x = 13.