GMAT Quantitative Reasoning Practice Test 5

Question : 68 of 100

Marks: +1, -0

Q

and

T

are integers, what
is the value of

Q

?
(1)

Q=2 T \/ 7

.
(2)

T+7 \/ 2=7(Q+2) \/ 4

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:

We want to find the number value of

Q

.
In statement (1) we are given the ratio between

Q

and

T

, which is not sufficient. Statement
(2) can be simplified:

T+7{ /} 2=7(Q+2) {/ }4 ⇒ T+7=7 Q+14 {/} 2 ⇒ T+7=7 Q {/} 2+7 ⇒ T=7 Q {/ }2

We can see that the same ratio is given in statement (2) also and more data is required to answer the question. Both statements give the same information.

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