GMAT Quantitative Reasoning Practice Test 6

Question : 15 of 100

Marks: +1, -0

What is the
positive value of

Z

?
(1)

3 y+z=4

(2)

z^2-z=12

Statement (1), BY ITSELF, will suffice to solve the problem, but NOT statement (2) by itself.
Statement (2), BY ITSELF, will suffice to solve the problem, but NOT statement (1) by itself.
The problem can be solved using statement (1) and statement (2) TOGETHER, but not ONLY statement (1) or statement (2).
The problem can be solved using EITHER statement (1) only or statement (2) only.
The problem CANNOT be solved using statement (1) and statement (2) TOGETHER.

Solution:

Statement (1) contains two variables; you would need more information to solve for z. Statement (2) can be put into the form

z ^2 − z − 12 = 0

. This equation can be solved by either factoring or by using the quadratic formula, and is sufficient to
answer the question.

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