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(25)7.5 × (5)2.5 ÷ (125)1.5 = 5?

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A. 8.5

B. 13

C. 16

D. 17.5

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Correct Answer : B.



Let (25)7.5 × (5)2.5 ÷ (125)1.5 = 5x.
Then, (52)7.5 × (5)2.5 531.5= 5x
⇒5(2 x 7.5) x 52.55(3 x 1.5) = 5x 
⇒515 × 52.554.5 = 5x 
⇒5x = 5(15 + 2.5 - 4.5)
⇒5x = 513,    ∴x = 13.

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