X and Y are real numbers. Is X*Y negative? (1) (X+Y)^2 0 (2) X = Y

Question

X and Y are real numbers. Is X*Y negative?

(1) (X+Y)^2 > 0

(2) X = Y

KanishkM · Answer

IMO B

(1) (X+Y)^2 > 0
X & Y can take any value, X*Y can be -ive or not

(2)X=Y 
This will always be > 0, for +ive and -ive values, and = 0 for x=y=0

Edit -> *Correcting after Bunnel's input*

If x and y are equal, x^2 will never be less than 0

Answer B

KSBGC · Answer

x and y both can be 0. it is stated that x and y are real numbers. real number includes 0 too. in this case, xy yields 0, which is nither positive not negative.

KanishkM · Answer

You are right, i missed out that.

Then the answer becomes E.

Bunuel · Answer

No, the answer is still B. The question asks whether xy < 0. From (2) the question becomes: is x^2 < 0? The answer to this question is always NO, because the square of a number cannot be negative.

eswarchethu135 · Answer

X and Y are real numbers. Is X*Y negative?

(1)  (X+Y)^2  > 0

Let X = -1 and Y = 2, then asnwer is YES

Let X = -2 and Y = -3, then answer is NO

INSUFFICIENT

(2) X = Y

If X is positive then Y is positive, If X is negative then Y is also negative.

In either case, X*Y is positive and answer to the question is NO.

SUFFICIENT

OPTION:  B

PreiteeRanjan · Answer

again a wrong answer ,the OA MUST BE E

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X and Y are real numbers. Is X*Y negative? (1) (X+Y)^2 > 0 (2) X = Y

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