(25)5 x (5)5 ÷ (125)5 = 5?

A    8.5

B    13

C    16

D    17.5

Solution

Correct Answer: Option B

 

Let (25)7.5 x (5)2.5 ÷ (125)1.5 = 5x.

Then, ((52)7.5 x (5)2.5) / ((53)1.5) = 5x

=> (5(2 x 7.5) x 52.5/5(3 x 1.5))= 5x

=> (515 x 52.5)/ (54.5)= 5x

=> 5x = 5(15 + 2.5 - 4.5)

=> 5x = 513

Therefore, x = 13.

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