GMAT Quantitative Reasoning Practice Test 8

Question : 2 of 76

Marks: +1, -0

12 x+2=10+3 x ?

(1)

5 x

is smaller than or equal to 12
(2)

2 x

is greater than or equal to 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 can simplify the given question ‘is

9x = 8?’

or ‘is

x = 8/9

’.
Statement (1) tells you that 5x is smaller than or equal to 12,

5x < 12

, which essentially means,

x < 12/5

. If

x < 12/5

, it is unknown whether x does or does not equal 8/9. In other words, statement (1) may or may not be sufficient.
Statement (2) tells you that 2x is greater than or equal to 4. This means that x could never be less than two, therefore could never be equal to 8/9 and this statement is sufficient.

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