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# Is \frac{4Q}{11} a positive integer? 1. Q is a prime number

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Is \frac{4Q}{11} a positive integer? 1. Q is a prime number [#permalink]  09 Sep 2008, 17:53
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Is $$\frac{4Q}{11}$$ a positive integer?

1. $$Q$$ is a prime number
2. $$2Q$$ is divisible by 11
VP
Joined: 17 Jun 2008
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Re: divisible by ? [#permalink]  09 Sep 2008, 17:56
arjtryarjtry wrote:
Is $$\frac{4Q}{11}$$ a positive integer?

1. $$Q$$ is a prime number
2. $$2Q$$ is divisible by 11

(1) clearly Q can be 2,3,5,7,11 -> hence need not result in same answers !!! INSUFFI

(2)says $$\frac{4Q}{11} = 2*n$$ where n is an integer .SUFFI

IMO B
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Re: divisible by ? [#permalink]  09 Sep 2008, 17:57
arjtryarjtry wrote:
Is $$\frac{4Q}{11}$$ a positive integer?

1. $$Q$$ is a prime number
2. $$2Q$$ is divisible by 11

C

(1) Insufficient
Q could 2, 5, 7, 11...

(2) Insufficient
Q could be either positive or negative multiples of 11.

(1) and (2) Sufficient
Q is 11 because prime numbers are positive.
Current Student
Joined: 11 May 2008
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Re: divisible by ? [#permalink]  09 Sep 2008, 18:09
zoinnk wrote:
arjtryarjtry wrote:
Is $$\frac{4Q}{11}$$ a positive integer?

1. $$Q$$ is a prime number
2. $$2Q$$ is divisible by 11

C

(1) Insufficient
Q could 2, 5, 7, 11...

(2) Insufficient
Q could be either positive or negative multiples of 11.

(1) and (2) Sufficient
Q is 11 because prime numbers are positive.

this is the doubt i had in my mind...
i dint know this...
thanks for explicitly putting it up.
VP
Joined: 17 Jun 2008
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Re: divisible by ? [#permalink]  09 Sep 2008, 18:19
zoinnk wrote:
arjtryarjtry wrote:
Is $$\frac{4Q}{11}$$ a positive integer?

1. $$Q$$ is a prime number
2. $$2Q$$ is divisible by 11

C

(1) Insufficient
Q could 2, 5, 7, 11...

(2) Insufficient
Q could be either positive or negative multiples of 11.

(1) and (2) Sufficient
Q is 11 because prime numbers are positive.

OOps i again messed up!!
yes good explanation
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Re: divisible by ? [#permalink]  09 Sep 2008, 18:29
zoinnk wrote:
arjtryarjtry wrote:
Is $$\frac{4Q}{11}$$ a positive integer?

1. $$Q$$ is a prime number
2. $$2Q$$ is divisible by 11

C

(1) Insufficient
Q could 2, 5, 7, 11...

(2) Insufficient
Q could be either positive or negative multiples of 11.

(1) and (2) Sufficient
Q is 11 because prime numbers are positive.

great catch on the positive part. Also, Q could be a fraction, such as 5.5
Re: divisible by ?   [#permalink] 09 Sep 2008, 18:29
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