Is X<Y?
1. IXI<IYI
2. Y<0
absolute value
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IMO C.
From 1) we have |X| < |Y|, since we don't know whether x and y are -ve or +ve. This is insufficient.
From 2) Y < 0, without the value of X we can't answer the question.
From both the statements, we have Y is -ve and abs value of X is less than abs value of Y.
X=1 and Y = -2 satisfies this condition.
X = -1 and Y = -2 also satisfies this condition.
Both cases X > Y
Hence sufficient.
From 1) we have |X| < |Y|, since we don't know whether x and y are -ve or +ve. This is insufficient.
From 2) Y < 0, without the value of X we can't answer the question.
From both the statements, we have Y is -ve and abs value of X is less than abs value of Y.
X=1 and Y = -2 satisfies this condition.
X = -1 and Y = -2 also satisfies this condition.
Both cases X > Y
Hence sufficient.