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Is n an integer? (1) 2n is an integer. (2) 3n is an integer

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VP
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Is n an integer? (1) 2n is an integer. (2) 3n is an integer  [#permalink]

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New post 30 Nov 2007, 10:16
1
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

60% (00:31) correct 40% (00:23) wrong based on 25 sessions

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Is n an integer?

(1) 2n is an integer.
(2) 3n is an integer

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New post 30 Nov 2007, 10:37
I would go for B. Can't think of any tricks here.. I hate this trick paranoia.

From 1, n could be 2, or .5
From 2, n cold be any integer, which would yield an integer, or a decimal ending .3 But wait, a decimal ending .3 will never yield an integer, so an integer it must be.

Thoughts?
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New post 30 Nov 2007, 10:42
1
asdert wrote:
I would go for B. Can't think of any tricks here.. I hate this trick paranoia.

From 1, n could be 2, or .5
From 2, n cold be any integer, which would yield an integer, or a decimal ending .3 But wait, a decimal ending .3 will never yield an integer, so an integer it must be.

Thoughts?


disagree, for st2, what if n=1/3, then 3n is an integer. i think it is C.
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New post 30 Nov 2007, 10:45
I went with C.

statement 1. N could equal 1/3 and thus 2n=2/3. N could also equal 1 and thus 2n=2. not suff.

statement 2. N could equal 1/2 and thus 3n= 1.5. N could also equal 1 and thus 3n=3. not suff.

combine the statements and N has to be a whole number.

I think?
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New post 30 Nov 2007, 10:58
OA is C guys. I think the best way to approach this is by considering their greatest common factor. first of all, i think it's pretty obvious that each statement alone is not suff based on everyone's input. when you combine them, consider any greatest common factor between 2 and 3. The only GCF would be 1, so if we mutiply each of the number by 1/1, you will still get an integer.

On the other hand, lets say we had 15n and 20n instead of 2n and 3n, then both statements together wouldn't be suff because their GCF is 5. So if I multiple either 15n or 20n by 1/5, i could still get an integer, hence you wouldn't be able to determine whether n is an integer and so the answer would be E. does that make sense guys? hope so!
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Re: Is n an integer? (1) 2n is an integer. (2) 3n is an integer  [#permalink]

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Re: Is n an integer? (1) 2n is an integer. (2) 3n is an integer   [#permalink] 10 Jul 2017, 06:01
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