IlCreatore wrote:

Here we have that quantity A is equal to \((-1)^{2x}+(-1)^{3x}+(-1)^{4x}\), while column B is equal to \((-1)^x+(-1)^{2x}+(-1)^{3x}+(-1)^{4x}\).

Then if we subtract the equal quantities from both sides we have to compare \(1\) and \((-1)^x\). Since we just know that x is an integer, which column is greater should depend on x being even or odd.

So, why the answer is B?

I think you have misinterpret the ques

QTy A is

\((-1)^{x^2}+(-1)^{x^3}+(-1)^{x^4}\)

In this even if x= odd or x= even then QTY B is always greater

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