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Question

Quantitative Ability and Data Interpretation Question on Surds and Indices

If 7a×35b+1×20c+23\sqrt[3]{7^a\times35^{b+1}\times20^{c+2}} is a whole number then which one of the statements below is consistent with it?

A

a = 2, b = 1, c = 1

B

a = 1, b = 2, c = 2

C

a = 2, b = 1, c = 2

D

a = 3, b = 1, c = 1

E

a = 3, b = 2, c = 1

Answer

a = 3, b = 2, c = 1

Explanation

Solution

The correct option is (E) :a = 3, b = 2, c = 1.