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If x is an integer is x even? 1. x is equal to the

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Director
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If x is an integer is x even? 1. x is equal to the [#permalink]

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New post 25 Jul 2009, 02:58
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If x is an integer is x even?
1. x is equal to the difference between two consecutive prime nos.
2. x is greater than 1.

I have a doubt with stmt 1. is'nt it a bit vague?Two consecutive prime nos...only one such set exists i.e 2,3.right?So why is my answer A wrong?
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Director
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Name: Ronak Amin
Schools: IIM Lucknow (IPMX) - Class of 2014
Re: integer is x even [#permalink]

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New post 25 Jul 2009, 03:01
tejal777 wrote:
If x is an integer is x even?
1. x is equal to the difference between two consecutive prime nos.
2. x is greater than 1.

I have a doubt with stmt 1. is'nt it a bit vague?Two consecutive prime nos...only one such set exists i.e 2,3.right?So why is my answer A wrong?

What about 11, 13 ? or 17,19? :wink:
E should be the answer.
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Re: integer is x even [#permalink]

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New post 25 Jul 2009, 03:46
[quote="tejal777"]If x is an integer is x even?
1. x is equal to the difference between two consecutive prime nos.
2. x is greater than 1.

2,3,5,7,11,13..ETC CONSECUTIVE PRIMES

FROM 1

3-2 = 1 .ODD OR 7-5 = 2 ...........INSUFF

FROM 2

INSUFF

BOTH

IF X>1 AND IS THE DIFFERENCE BETWEEN 2 CONSEC PRIMES THEN SURELY IT IS EVEN.....SUFF

C
Director
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Name: Ronak Amin
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Re: integer is x even [#permalink]

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New post 25 Jul 2009, 05:40
If x is an integer is x even?
1. x is equal to the difference between two consecutive prime nos.
2. x is greater than 1.

Oopss...
1) x can be equal to 2 because for some consecutive primes like (3,5), (11,13) the difference is 2 => x is even

x can be equal to any number other than 2 for some consecutive primes like (7,11), (31,17) and this x will also be even ( ODD-ODD = even ).

x can be equal to 1 for one pair of consecutive primes (2,3) and this x is ODD.
INSUFF.

2) x > 1...x can be 2,3,4,...
INSUFF.

Combining,
from 1) can be 1 or any multiple of 2.
from 2) x can be anything greater than 1.
Thus, x CANNOT be 1 but x can be any multiple of 2.

Hence C :(..silly silly sigh!!
Re: integer is x even   [#permalink] 25 Jul 2009, 05:40
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If x is an integer is x even? 1. x is equal to the

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