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19 Sep 2019, 03:36
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
68% (01:17) correct
32%
(01:01)
wrong
based on 31
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Which expression is odd \(n^2 + 3\) or \(n^2 + 4\)?
(1) \(n\) is an even integer.
(2) \(–2n – 4\) is an even integer.
(1) \(n\) is an even integer.
(2) \(–2n – 4\) is an even integer.
Source: Nova GMAT
19 Sep 2019, 08:45
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SajjadAhmad
Which expression is odd \(n^2 + 3\) or \(n^2 + 4\)?
(1) \(n\) is an even integer.
(2) \(–2n – 4\) is an even integer.
(1) even^2= even(1) \(n\) is an even integer.
(2) \(–2n – 4\) is an even integer.
Source: Nova GMAT
thus n^2 + 3=odd
& n^2 + 4=even
sufficient
(2) –2n – 4 is even
case 1 ..if n is odd then –2n – 4 is even
case 2 ...if n is even then –2n – 4 is even
thus n can be even or odd
Case I when n is odd
n^2 + 3 = even
n^2 + 4 = odd
Case II when n is even
n^2 + 3 = odd
n^2 + 4 = even
thus insufficient
Ans A
19 Sep 2019, 11:27
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SajjadAhmad
Which expression is odd \(n^2 + 3\) or \(n^2 + 4\)?
(1) \(n\) is an even integer.
(2) \(–2n – 4\) is an even integer.
(1) \(n\) is an even integer.
(2) \(–2n – 4\) is an even integer.
Source: Nova GMAT
Analyzing the question: Better question to ask is whether n is odd or even. Once we know that, we can determine which expression above is odd.
Statement 1:
Sufficient.
Statement 2:
-2n - 4 is even means -2n is even. -2n is always even regardless of n so we cannot tell if n is odd or even, insufficient.
Answer: A
