GMAT Quantitative Reasoning Practice Test 7

Question : 81 of 100

Marks: +1, -0

35 \%

of the students in Cambridge study engineering. How many students in Cambridge study Aerospace engineering with honors?
(1)

18 \%

of the total number of students in Cambridge, which is 10,000 , study with honors.
(2) One fifth of the honor students study Aerospace engineering.

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:

Statement (1) tells us that

(0.18 × 10,000 = 1,800)

student’s study with honors.
Statement (2) tells us that

(0.2 × 1,800 = 360)

is the number of students that study Aerospace engineering with honors.
Both statements, taken together, are sufficient.

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