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# is n = 2?

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Manager
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17 Jan 2009, 11:02
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

if the integer n is greater than 1, is n =2????

1) n has exactly 2 positive factors
2)the difference of any two distinct positive factors of n is odd

OG DS 132. Ithink the solution in OG for this problem is wrong, Please verify if you think the same.
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Re: is n = 2? [#permalink]

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17 Jan 2009, 12:18
Only 2 fulfills all the requirements.

1: any prime has 2 +ve factors. insuff.
2: only 2 has 2 factors and their diff is odd.
2 - 1 = 1
1 - 2= -1
suff.

Abhishek.pitti wrote:
if the integer n is greater than 1, is n =2????

1) n has exactly 2 positive factors
2)the difference of any two distinct positive factors of n is odd

OG DS 132. I think the solution in OG for this problem is wrong, Please verify if you think the same.

I do not know OG is wrong in any issue. They release questions after several trail and tests.
"Why do you think OG solution for this question is wrong"? You would be better if you come out with your explanation. Just a statement that "the solution in OG for this problem is wrong" doesnot work.
Share your ideas; no matter whether they are wrong or right. This forum is for give and take: - win - win.
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Re: is n = 2? [#permalink]

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17 Jan 2009, 12:25
(1) exactly 2 factors means n is prime ...and so n could be any prime 2 , 3 , 5 etc

therefore, insufficient

(2)
this says any two factors and its difference is odd.
let n = 2 its factors are 1 and 2 and difference is odd. ( true)

difference would be odd only if one factor is odd and the other is even.

2 is the only number with only 1 odd factor and only 1 even factor.
therefore, sufficient

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Re: is n = 2? [#permalink]

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17 Jan 2009, 14:19
Does 1 always count as a factor of an integer? So, for example, 6 considered to have 3 factors: 1, 2, 3? Or just 2?
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Re: is n = 2? [#permalink]

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17 Jan 2009, 15:52
elena09 wrote:
Does 1 always count as a factor of an integer?

Thats correct. 1 is always a factor of every integer.

elena09 wrote:
for example, 6 considered to have 3 factors: 1, 2, 3? Or just 2?

6 has four (4), not 2 or 3, factors: 1, 2, 3, and 6.
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Re: is n = 2? [#permalink]

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18 Jan 2009, 09:06
2)the difference of any two distinct positive factors of n is odd

as per the rules of Data sufficieny, lets look at statement 2

it says ...DIFFERENCE of ANY TWO DISTINCT POSITIVE factors of N

it doesn't say it has only 2 factors. I would agree to pick only answer B if it said that but it DOESN'T

so shouldn't the answer be C.
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Re: is n = 2? [#permalink]

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18 Jan 2009, 09:17
Abhishek.pitti wrote:
2)the difference of any two distinct positive factors of n is odd

as per the rules of Data sufficieny, lets look at statement 2

it says ...DIFFERENCE of ANY TWO DISTINCT POSITIVE factors of N

it doesn't say it has only 2 factors. I would agree to pick only answer B if it said that but it DOESN'T

so shouldn't the answer be C.

Any example?

lets see for 2: factors = 1 and 2 = the diff is l1l.
For 3: factors = 1 and 3 = the diff is l2l.
For 4: factors = 1, 2 and 4 = the diff are l1l, l2l and l3l.
For 5: factors = 1 and 5 = the diff is l4l.
For 6: factors = 1, 2, 3 and 6 = the diff are l1l, l2l, l2l, l4l, and l5l.

Which one you want to pick?
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Re: is n = 2? [#permalink]

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18 Jan 2009, 12:03
GMAT TIGER wrote:
Abhishek.pitti wrote:
2)the difference of any two distinct positive factors of n is odd

as per the rules of Data sufficieny, lets look at statement 2

it says ...DIFFERENCE of ANY TWO DISTINCT POSITIVE factors of N

it doesn't say it has only 2 factors. I would agree to pick only answer B if it said that but it DOESN'T

so shouldn't the answer be C.

Any example?

lets see for 2: factors = 1 and 2 = the diff is l1l.
For 3: factors = 1 and 3 = the diff is l2l.
For 4: factors = 1, 2 and 4 = the diff are l1l, l2l and l3l.
For 5: factors = 1 and 5 = the diff is l4l.
For 6: factors = 1, 2, 3 and 6 = the diff are l1l, l2l, l2l, l4l, and l5l.

Which one you want to pick?

I guess Abhishek missed the word "any" in - DIFFERENCE of ANY TWO DISTINCT POSITIVE factors of N - I did the same mistake and choose answer 'C'
Manager
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Re: is n = 2? [#permalink]

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18 Jan 2009, 15:42
Oh!!! ANY is the catch , huh!!!
does it mean that the usage of 'ANY' signifies that it has only 2 options???
Manager
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Kudos [?]: 79 [0], given: 3

Re: is n = 2? [#permalink]

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18 Jan 2009, 15:45
damn!!!
I just got it!!!!! its clear now.

cool!!!Phew!!! i donno what i was thinking....hehe
Re: is n = 2?   [#permalink] 18 Jan 2009, 15:45
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