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f p and q are positive integers and pq =24, what is the

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f p and q are positive integers and pq =24, what is the [#permalink]

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New post 05 Feb 2011, 08:56
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f p and q are positive integers and pq =24, what is the value of p?

(1) q/6 is an integer.
(2) p/2 is an integer.

I think answer is E. am I right?

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Re: DATA SUFFICIENCY [#permalink]

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New post 05 Feb 2011, 09:04
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Think so too.

(1) q/6 is integer
p can be 1,4,2 Not sufficient

(2) p/2 is integer
p can be all even numbers from 2 to 24, inclusive

Both;

2,4 will be intersection.
So, p can be 2 or 4.
Not sufficient.

Ans: "E"
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Re: DATA SUFFICIENCY [#permalink]

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New post 06 Feb 2011, 14:07
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pq=24
p can be 1,2,3,4,6,8,12,24 and q can be 24,12,8,6,4,3,2,1 correspondingly.
1) q can be 24,12,6
So p can be 1,2,4 Not Suff.
2) p can 2,4,6,8,12,24 Not Suff.
Combining 1 and 2,
p can be 2 and 4, while q can be 12,6 correspondingly. Not Suff.
E
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Re: DATA SUFFICIENCY [#permalink]

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New post 08 Feb 2011, 04:42
1 24
2 12
3 8
4 6


2 answers can be found for p even if we combine the 2 statements ,, therefore E
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Re: f p and q are positive integers and pq =24, what is the [#permalink]

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Re: f p and q are positive integers and pq =24, what is the   [#permalink] 12 Apr 2018, 04:08
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