Practice GMAT Data Sufficiency Question
Return to the list of practice GMAT data sufficiency questions.
What is the value of (n + 1)2?
- n2 - 6n = -9
- (n-1)2 = n2 – 5
Correct Answer: D
-
Evaluate Statement (1) alone.
- 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
- Statement (1) alone is SUFFICIENT.
-
Evaluate Statement (2) alone.
- 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
- Statement (2) alone 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.