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Here is this week’s problem:

If

nis a prime number greater than 2, is 1/x> 1?(1)

x<^{n}x<x^{(1/n)}(2)

x^{(n“1)}>x^{(2n“2)}

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ans: both 1 and 2 can answer the problem

Answer is: D

Since n > 2, n can only be odd. Also for 1/x to be greater than 1, x should be a proper fraction.

From statement 1 we know that x is a proper fraction since x^n < x1

eg: If x = 1/2 and n = 3 ; x^n = 1/8; x^1/n = 1/1.41

From statement 2 we know that x is a proper fraction again, therefore 1/x>1

eg: x=1/2 and n = 3 ; x^(n-1) = 1/4 and x^(2n-2) = 1/16

As we know that x is a prime number greater than 2, 1/x is definitely less than 1. So no matter what choice 1 and 2 are saying, we’ve got the answer. It’s d. Rather tricky!

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