chetan2u wrote:

If x and y are integers and \(\frac{x}{y}\) is also an integer, is x an even number?

(1) \(\frac{x}{y}\) is odd.

(2) \(\frac{y}{2}\) is odd.

New question - chetan

Some important properties - If the solution of the expression \(\frac{x}{y}\) is an integer,

EVEN/EVEN = ODD or EVEN

EVEN/ODD = EVEN

ODD/ODD = ODD

ODD/EVEN = Cannot be an integerNow coming back to the question

(1) \(\frac{x}{y}\) is odd.

Here x and y both could be either even or odd

(Insufficient)

(2) \(\frac{y}{2}\) is odd.

This is only possible when y is even Since, y is even, x also has to be even

as we know that the solution is an integer

(Sufficient - Option B)

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