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chetan2u
Is \(|x|*|y|>x*y\)?
(1) \(|x|>x\)
(2) \(|y|=y\)


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|x|*|y|>x*y can be possible if either x or y is -ve. Its not possible if both x and y have same sign or any one is 0

(1) \(|x|>x\) x is -ve. We don't know the sign of y

(2) \(|y|=y\) Y can be 0 or +ve

Combining both statements:-
x is -ve and y can be +ve or 0
E is the answer
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If we modify the original condition and the question, the question becomes |xy|>xy?, which is same as xy<0?.
There are 2 variables (x and y). In order to match the number of variables to the number of equations, we need 2 equations. Hence, there is high chance that C is the correct answer. Using both the condition 1) and the condition 2), we get the answer as yes when x=-1, y=1. Yet, the answer becomes no when x=-1 y=0. The conditions are not sufficient and the correct answer is E.
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