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rss GMAT Practice Question (One of Hundreds)
What is the value of (n + 1)2?
  1. n2 - 6n = -9
  2. (n-1)2 = n2 – 5
Correct Answer: D
Expand the equations and solve for n.
  1. Evaluate Statement (1) alone.
    1. Try to solve for n:
      n2 - 6n = -9
      n2 - 6n + 9 = 0
      (n - 3)2 = 0
      n - 3 = 0
      n = 3
      With one value for n, we can find a single value for (n + 1)2
    2. Statement (1) alone is SUFFICIENT.
  2. Evaluate Statement (2) alone.
    1. Expand the terms and simplify them:
      n2 - 2n + 1 = n2 – 5
      -2n + 1 = -5
      -2n + 6 = 0
      6 = 2n
      n = 3
      With one value for n, we can find a single value for (n + 1)2
    2. Statement (2) alone is SUFFICIENT.
  3. Since Statement (1) alone is SUFFICIENT and Statement (2) alone is SUFFICIENT, answer D is correct.

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