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14 Jul 2014, 03:38
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
91% (00:42) correct
9%
(00:48)
wrong
based on 1082
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If n is a positive integer, is n odd?
(1) 3n is odd.
(2) n + 3 is even.
(1) 3n is odd.
(2) n + 3 is even.
13 Dec 2019, 12:43
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Bunuel
Given: n is a positive integer
Target question: Is n odd?
Some important rules:
#1. ODD +/- ODD = EVEN
#2. ODD +/- EVEN = ODD
#3. EVEN +/- EVEN = EVEN
#4. (ODD)(ODD) = ODD
#5. (ODD)(EVEN) = EVEN
#6. (EVEN)(EVEN) = EVEN
Statement 1: 3n is odd
Since 3 is ODD, we are told that (ODD)(n) = ODD
From Rule #4 above, we can conclude that n is ODD
The answer to the target question is YES, n IS odd
Since we can answer the target question with certainty, statement 1 is SUFFICIENT
Statement 2: n + 3 is even
in other words, n + ODD = EVEN
From Rule #1 above, we can conclude that n is ODD
The answer to the target question is YES, n IS odd
Since we can answer the target question with certainty, statement 2 is SUFFICIENT
Answer: D
Cheers,
Brent
General Discussion
14 Jul 2014, 03:39
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Bunuel
Statement (1) implies that n is odd, for if n were even, any multiple of n would be even. Therefore, the answer must be A or D.
Statement (2) also implies that n is odd, since 3 less than any even number is an odd number.
Since either (1) or (2), taken separately, is sufficient to answer the question, the best answer is D.
