Data Sufficiency

If x is not equal to 0, is Y greater than 0?

(1) xy = 24
(2) x - y = 5

What do you think is the answer? Are these sufficient?

Akshat48 wrote:If x is not equal to 0, is Y greater than 0?

(1) xy = 24
(2) x - y = 5

What do you think is the answer? Are these sufficient?

st(1) if x negative => y must be negative; if x positive => y must be positive. Not sufficient
st(2) if x negative => y must be negative; if x positive => y can be negative or positive. Not sufficient

Combining st(1&2) we get (y+8)(y-3)=0 => y {-8;3} Not sufficient

IMO E

Akshat48 wrote:If x is not equal to 0, is Y greater than 0?

(1) xy = 24
(2) x - y = 5

What do you think is the answer? Are these sufficient?

(1) XY=24

Say x = -2 then y = -12
Thus when x in not equal to zero y is less than zero.

Say x = 2 then y = 12
Thus when x in not equal to zero y is greater than zero.

Hence, A is Not Sufficient.

(2) x - y = 5

Say x = -2 then y = -7
Thus when x in not equal to zero y is less than zero.

Say x = 10 then y = 5
Thus when x in not equal to zero y is greater than zero.

Hence, B is Not Sufficient.

Combine both,
x - y = 5 => x = 5+y
then xy = (5+y)y = 24
=> y^2 + 5y - 24 = 0
=> y^2 +8y -3y -24 = 0

Thus y = -8 or +3 Not SUff.

IMO

E