Sometimes the only way to tackle a question is trial and error, even though is time consuming.

However, amorphous above provided a pretty fast and elegant solution to you

**Quote:**

take \(y = 10\) and for consecutive integers take some small numbers such as \(1, 2, 3 or 2, 3, 4 or 3, 4, 5\)

doing so will invalidate all of the options from A to D because non of the final result will be an integer

Leaving the only E for ans

To speed up, even more, the process you could think about two things:

- first off: when a question asks you "which of the following" start always from the bottom of the answer choices. More often than not the correct answer is from the bottom-up:

- secondly: the numerator of the fraction is 3 consecutive integers.

if x is even = 2 AND y= 0, which means that \(5^0 = 1\) then you do have

\(\frac{2*3*4}{2*3*1}\)

2 and 3 cancel out and you do have \(\frac{4}{1} = 4\).

Now, the question has only one correct answer and it is also a must be true question. As such, E must be the correct answer without bothering you to check the others.

Hope now is clear to you.

Regards

_________________

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