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If x is not equal to 0

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Source: — Data Sufficiency |
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by Night reader » Wed Dec 08, 2010 10:51 pm
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
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by shovan85 » Wed Dec 08, 2010 10:54 pm
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
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by Rahul@gurome » Thu Dec 09, 2010 3:22 am
Akshat48 wrote:If x is not equal to 0, is Y greater than 0?
(1) xy = 24
(2) x - y = 5
Statement 1: xy = 24
Implies either x and y are of same sign.

Not sufficient.

Statement 2: (x - y) = 5
Only impossible case is x negative and y positive. Other combinations are possible.

Not sufficient.

1 & 2 Together: Same conclusion as of statement 2.

Not sufficient.

The correct answer is .
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