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# Is the positive integer r an even number? (1) r is a prime

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Is the positive integer r an even number? (1) r is a prime [#permalink]  05 Sep 2008, 02:44
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Is the positive integer r an even number?

(1) r is a prime number
(2) 3 < r < 26
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Joined: 21 Jul 2006
Posts: 1551
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Re: Zumit - DS - 002 [#permalink]  05 Sep 2008, 03:22

Here is a list of prime numbers:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, etc...

Basically, a prime number is a number that has only 2 distinct factors. 1 is not prime because although you can use 1 *1 to get the product of 1, these 2 factors are not distinct. With 2, you have 2*1. With 3, you have 3*1. Prime numbers are numbers that can be divided only by 1 and itself. Another point to remember here is that 2 is the ONLY even prime. All the other prime numbers are odd.

So in statement 1, a prime number could mean 2 or any odd numbers.

In statement 2, any integers between 3 and 26 could include any of the even integers or odd integers.

Together, since the numbers between 3 and 26 are prime numbers, you know for sure that 2 is not between these values, so the number must be odd.

C

Last edited by tarek99 on 06 Sep 2008, 03:59, edited 1 time in total.
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Re: Zumit - DS - 002 [#permalink]  05 Sep 2008, 21:48
dancinggeometry wrote:
Is the positive integer r an even number?

(1) r is a prime number
(2) 3 < r < 26

IMO C
(1)INSUFFI , cannot say since 2 is even prime number and others are odd
(2)r can be any number in between ,even or odd INSUFFI

(1) and (2) since >3 ,all the prime numbers are odd hence r cannot be
IMO C
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Its Now Or Never

Re: Zumit - DS - 002   [#permalink] 05 Sep 2008, 21:48
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