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Question of the Day
Is x = y ?
(1) xy ≠ 0
(2) xy < 0
(A) Statement (1) ALONE is sufficient, but statement (2) is not sufficient.
(B) Statement (2) ALONE is sufficient, but statement (1) is not sufficient.
(C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
(D) EACH statement ALONE is sufficient.
(E) Statements (1) and (2) TOGETHER are NOT sufficient.
Write Down the Information Given
None.
Find the Real Information
None.
Question Asked
Is x = y ?
Find the Real Question
None.
Translate the Statements
(1) This statement only tells us that neither variable is equal to 0. That doesn't tell us if they are equal or not.
Insufficient.
Eliminate A and D.
(2) This statement tells us that the product of the variables is negative. The only way to get a negative product is to have negative x positive. This means the variables are of different signs and therefore not equal.
Sufficient.
Eliminate C and E.
Choose B.
None.
Find the Real Information
None.
Question Asked
Is x = y ?
Find the Real Question
None.
Translate the Statements
(1) This statement only tells us that neither variable is equal to 0. That doesn't tell us if they are equal or not.
Insufficient.
Eliminate A and D.
(2) This statement tells us that the product of the variables is negative. The only way to get a negative product is to have negative x positive. This means the variables are of different signs and therefore not equal.
Sufficient.
Eliminate C and E.
Choose B.