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# M20-25

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Math Expert
Joined: 02 Sep 2009
Posts: 42529

Kudos [?]: 135178 [0], given: 12671

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16 Sep 2014, 01:09
Expert's post
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Difficulty:

15% (low)

Question Stats:

71% (00:21) correct 29% (00:25) wrong based on 97 sessions

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What is the remainder when a positive integer $$p$$ is divided by 2?

(1) $$p$$ is a prime integer

(2) $$p \gt 10$$
[Reveal] Spoiler: OA

_________________

Kudos [?]: 135178 [0], given: 12671

Math Expert
Joined: 02 Sep 2009
Posts: 42529

Kudos [?]: 135178 [1], given: 12671

### Show Tags

16 Sep 2014, 01:09
1
KUDOS
Expert's post
Official Solution:

What is the remainder when a positive integer $$p$$ is divided by 2?

Notice that a positive integer can yield only two remainders upon division by 2: 0 (when the dividend is even) and 1 (when the dividend is odd). So, we are basically asked whether $$p$$ is even or odd.

(1) $$p$$ is a prime integer. $$p$$ could be 2, so even, as well as 3 (for example), so odd. Not sufficient.

(2) $$p \gt 10$$. Clearly insufficient.

(1)+(2) Any prime number greater than 10 is odd and thus leaves the remainder of 1 when divided by 2. Sufficient.

_________________

Kudos [?]: 135178 [1], given: 12671

Intern
Joined: 30 Aug 2017
Posts: 1

Kudos [?]: 1 [1], given: 0

Location: Ukraine
Concentration: Finance, Technology
GMAT 1: 790 Q60 V60
GPA: 3.7
WE: Programming (Computer Software)

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18 Oct 2017, 18:28
1
KUDOS
Quote:
(1)+(2) Any odd number greater than 10 is odd and thus leaves the remainder of 1 when divided by 2. Sufficient.

I believe that correct statement is:
Any prime number greater than 10

Kudos [?]: 1 [1], given: 0

Math Expert
Joined: 02 Sep 2009
Posts: 42529

Kudos [?]: 135178 [0], given: 12671

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18 Oct 2017, 21:08
OleksandrGureiev wrote:
Quote:
(1)+(2) Any odd number greater than 10 is odd and thus leaves the remainder of 1 when divided by 2. Sufficient.

I believe that correct statement is:
Any prime number greater than 10

Edited the typo. Thank you!
_________________

Kudos [?]: 135178 [0], given: 12671

Re: M20-25   [#permalink] 18 Oct 2017, 21:08
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# M20-25

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