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Bunuel
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ankitavijay
Bunuel
Is xy = x^2 ?

(1) x + y < 0
(2) xy < 0

I think the answer is E.

1) states that x<y- doesn't say if they are equal or not
2)xy<0 - it can be x=-6 and y =1 or vice a versa.

c) not sufficient from 1) and 2)

2)xy<0 - it can be x=-6 and y =1 or vice a versa.
By this sentence we get the information that xy can never be equal to x^2
This is sufficient to answer the question as yes or no.

if x=-6 and y =1 than xy is not equal to x^2.
That's why option B is sufficient to give definite answer for question.
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Nikkb
ankitavijay
Bunuel
Is xy = x^2 ?

(1) x + y < 0
(2) xy < 0

I think the answer is E.

1) states that x<y- doesn't say if they are equal or not
2)xy<0 - it can be x=-6 and y =1 or vice a versa.

c) not sufficient from 1) and 2)

2)xy<0 - it can be x=-6 and y =1 or vice a versa.
By this sentence we get the information that xy can never be equal to x^2
This is sufficient to answer the question as yes or no.

if x=-6 and y =1 than xy is not equal to x^2.
That's why option B is sufficient to give definite answer for question.
I think you missed to consider the following: x=1, y=-1. In this case E should be the answer
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ankitavijay

I think the answer is E.

1) states that x<y- doesn't say if they are equal or not
2)xy<0 - it can be x=-6 and y =1 or vice a versa.

c) not sufficient from 1) and 2)

2)xy<0 - it can be x=-6 and y =1 or vice a versa.
By this sentence we get the information that xy can never be equal to x^2
This is sufficient to answer the question as yes or no.

if x=-6 and y =1 than xy is not equal to x^2.
That's why option B is sufficient to give definite answer for question.
I think you missed to consider the following: x=1, y=-1. In this case E should be the answer

so if x = 1 and y = -1

xy = 1 * (-1) = -1
and x^2 = (1)^2 = 1

still xy is not equal to x^2.
So answer will always be NO, for all the values of x and y

as multiplication of x and y will always be -ve it can not be equal to square of a number which will always be +ve

So for all values of x and y satisfying equation given by statement 2 , we will get answer "False" for the question.

Hence statement 2 is sufficient to give a definite answer.
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What if we reduce the question to xy = x^2 to y = x ?
hence the question asks is y=x ?

from option B we can make out that x and y are of opposite sign. Hence, Option B is Sufficient.

Correct me if i am wrong here.

Thank you
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