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Last Updated on May 9, 2023
GMAT OFFICIAL GUIDE DS
Solution:
We need to determine the value of integer n.
Statement One Alone:
n(n+1) = 6
Let’s solve the equation:
n(n+1) = 6
n^2 + n = 6
n^2 + n – 6 = 0
(n+3)(n-2) = 0
n = -3 or n =2
Since we have two values for n, statement one alone is not sufficient. We can eliminate answer choices A and D.
Statement Two Alone:
2^(2n) = 16
We express 16 as a power of 2, and then we equate the exponents; we can then determine a value for n.
2^(2n) = 2^4
2n = 4
n = 2
Statement two is sufficient to answer the question.
Answer: B
