GMAT Quantitative Reasoning Practice Test 8

Question : 42 of 76

Marks: +1, -0

If X and Y are both two-digit numbers, is XY
an even number?
(1) The sum of X and Y gives an even number.
(2) The value of Y is three times the value of X.

Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
Either statement BY ITSELF is sufficient to answer the question.
Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

Validate

Solution:

Statement (1) isn’t sufficient, X and Y can be both odd or both even, but their multiplication can be either one. Statement (2) tells us that

Y = 3X, X

and Y can both be even or odd from this statement and therefore this statement is also
insufficient.
Both of the statements imply the same thing and so combining them will not help. More data is required.

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