GMAT Quantitative Reasoning Practice Test 8

Question : 5 of 76

Marks: +1, -0

What is the value of

(X+2 Y{/} 5)

?
(1)

292 X-675+80 Y=100-18 X-44 Y

.
(2)

300 X+80 Y-830=82.5-85 X-66 Y

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.

Solution:

Simplify statement (1). Add similar items,

310 X+124 Y=775 → X+2 Y {/} 5=2.5

. This statement is sufficient.
Do the same to statement (2) and you'll see that

385 X+146 Y=912.5

, when divided by

385: X+146 Y {/ }385=2.5

.
This statement is insufficient.

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