What is the value of (X+Y) ? (1) Y is 20 \% more than X. (2) X=120.

Correct Answer is : Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

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.

GMAT Quantitative Reasoning Practice Test 7

Question : 47 of 100

Marks: +1, -0

What is the value of

(X+Y)

?
(1)

Y

20 \%

more than

X

.
(2)

X=120

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) is insufficient by itself since we only know that

Y = 1.2X

and the expression required is

(X + Y)

, which becomes (X + 1.2X).
Using statement (2) combined with statement (1), we know that the value of the expression becomes

(120 + 1.2 × 120 = 144)

and
therefore both statements, taken together, are sufficient.

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