GMAT Quantitative Reasoning Practice Test 8

Question : 10 of 76

Marks: +1, -0

What is the total number of students that will finish their first degree this year at the Will hunt University?
(1) The number of male students that will finish their first degree ten less than three-fifths of number of female students.
(2) The number of male students is 360.

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:

Let m = males and f = females.
From Statement (1) you know that

m = 3/5f − 10

, but you don't know the actual values of m and f. From Statement (2) you know m, which can be fed into the equation derived from statement (1).
These two equations with two variables are sufficient and therefore both statements, taken together, are sufficient.

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