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Updated on: 29 Dec 2014, 04:00
Originally posted by gmatmania17 on 29 Dec 2014, 03:50.
Last edited by Bunuel on 29 Dec 2014, 04:00, edited 1 time in total.
Last edited by Bunuel on 29 Dec 2014, 04:00, edited 1 time in total.
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C
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If n is a positive integer, is n odd?
(1) n has exactly two positive factors.
(2) n is different from 2
I am struggling with this question because i don't know whether to consider 1 as a positive factor itself.
Thank you in advance !
(1) n has exactly two positive factors.
(2) n is different from 2
I am struggling with this question because i don't know whether to consider 1 as a positive factor itself.
Thank you in advance !
29 Dec 2014, 04:05
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If n is a positive integer, is n odd?
(1) n has exactly two positive factors. This implies that n is a prime number. All primes but 2 are odd, so n can be 2, so even or any other odd prime. Not sufficient.
(2) n is different from 2. Clearly insufficient.
(1)+(2) Since n cannot be 2, then it's some odd prime. Sufficient.
Answer: C.
As for your question: 1 is a factor of every integer. Check links below.
P.S. Please tag questions properly: this is a number properties question, not an algebra question. Also, I guess this is NOT a Self-made question as you've tagged.
(1) n has exactly two positive factors. This implies that n is a prime number. All primes but 2 are odd, so n can be 2, so even or any other odd prime. Not sufficient.
(2) n is different from 2. Clearly insufficient.
(1)+(2) Since n cannot be 2, then it's some odd prime. Sufficient.
Answer: C.
As for your question: 1 is a factor of every integer. Check links below.
Theory on Number Properties: math-number-theory-88376.html
Tips on Number Properties: number-properties-tips-and-hints-174996.html
All DS Number Properties Problems to practice: search.php?search_id=tag&tag_id=38
All PS Number Properties Problems to practice: search.php?search_id=tag&tag_id=59
Tips on Number Properties: number-properties-tips-and-hints-174996.html
All DS Number Properties Problems to practice: search.php?search_id=tag&tag_id=38
All PS Number Properties Problems to practice: search.php?search_id=tag&tag_id=59
P.S. Please tag questions properly: this is a number properties question, not an algebra question. Also, I guess this is NOT a Self-made question as you've tagged.
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22 Aug 2016, 08:31
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Here we need to find if n is even or odd
statement 1 => n is prime => n can be 2 or 3 or 5 etc => not suff
statement 2 => n can be 3 or 4 or 5 => not suff
combining them n must be odd as 2 is the only even prime and all primes except 2 are odd
SMASH that C
statement 1 => n is prime => n can be 2 or 3 or 5 etc => not suff
statement 2 => n can be 3 or 4 or 5 => not suff
combining them n must be odd as 2 is the only even prime and all primes except 2 are odd
SMASH that C
