If x and y are positive integers, is x/y an integer?

(1) Every factor of y is also a factor of x.

(2) Every factor of x is also a factor of y.

1. Since every factor of y is also a factor of x , if we cancel the common factors , the quotient will be an integer .

In case x=y , the quotient will be 1 .

x=2x3x5

y=2x3

x/y=5

Sufficient

2. The only case when x/y will an integer in this case is when x=y , then x/y=1

x=2x3

y=2x3x5

x/y=1/5

Not an integer .

Not sufficient

Answer A

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