Hi Nitesh,

You told here, you used test cases to eliminate A,B and D. If you tell me what is the test cases you made to eliminate the answer choices then it will be the same numbers to arrive at C.

For example,

Question : Is y odd ?

Statement I is insufficient:

(y+2)!/ x! = odd

Like if y = 2 and x = 4, then answer to the question is NO.

If y = 3 and x = 4, then answer to the question is YES.

Statement II is insufficient:

(y+2)!/ x! > 2

Like if y = 3 and x = 4, then answer to the question is YES.

If y = 4 and x = 4, then answer to the question is NO.

together it is sufficient.

first thing to note is, you cant try “y” as even number because that contradict statement I

Second thing to note is, you cant try values of x and y such a way both numerator and denominator are equal in statement I, because that makes statement I as equal to one and it contradicts the statement II.

Only numbers which satisfy here is y odd and x is one less than y + 2.

So it is sufficient.

Hope this helps.