Practice GMAT Data Sufficiency Question

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n is a positive number; z – 15 is also a positive number; is z/n less than one?
  1. z – n > 0
  2. n < 15
Correct Answer: D
  1. 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?
  2. Evaluate Statement (1) alone.
    1. Statement (1) can be re-arranged:
      z - n > 0
      z > n
    2. Since z > n, you can definitively answer no to the question: "is z < n?"
    3. Statement (1) is SUFFICIENT.
  3. Evaluate Statement (2) alone.
    1. Based upon the question, since z-15 is a positive number, the following inequality must hold:
      z - 15 > 0
      z > 15
    2. Statement (2) says:
      n < 15
    3. Since z > 15 and n < 15, you know that z > n
    4. You can definitively answer no to the question: "is z < n?"
    5. Statement (2) is SUFFICIENT.
  4. 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.