Practice GMAT Data Sufficiency Question
Return to the list of practice GMAT data sufficiency questions.
n is a positive number; z – 15 is also a positive number; is z/n less than one?
- z – n > 0
- n < 15
Correct Answer: D
- The value of a fraction is less than one if its numerator is smaller than its denominator. For example, 4/6 is less than one because 4 < 6. So, the question at hand can be simplified to: is z < n?
-
Evaluate Statement (1) alone.
- Statement (1) can be re-arranged:
z - n > 0
z > n
- Since z > n, you can definitively answer no to the question: "is z < n?"
- Statement (1) is SUFFICIENT.
-
Evaluate Statement (2) alone.
- Based upon the question, since z-15 is a positive number, the following inequality must hold:
z - 15 > 0
z > 15
- Statement (2) says:
n < 15
- Since z > 15 and n < 15, you know that z > n
- You can definitively answer no to the question: "is z < n?"
- Statement (2) is SUFFICIENT.
- Since Statement (1) alone is SUFFICIENT and Statement (2) alone is SUFFICIENT, answer D is correct.
Return to the list of practice GMAT data sufficiency questions.