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If x > 1, what is the value of integer x? (1) There are x

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Manager
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Kudos [?]: 103 [0], given: 94

If x > 1, what is the value of integer x? (1) There are x [#permalink]

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01 Jul 2011, 12:39
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If x > 1, what is the value of integer x?
(1) There are x unique factors of x. ( what does that mean ?????? )
(2) The sum of x and any prime number larger than x is odd.
thanks
[Reveal] Spoiler: OA

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Last edited by Silver89 on 01 Jul 2011, 14:20, edited 1 time in total.
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01 Jul 2011, 13:06
1
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Expert's post
Silver89 wrote:
If x > 1, what is the value of integer x?
(1) There are x unique factors of x. ( what does that mean ?????? )
(2) The sum of x and any prime number larger than x is odd.
thanks

They could have worded Statement 1 better, but it's just trying to tell you how many positive divisors x has. Here we learn that x has x positive divisors. If you just imagine a number for x (e.g. imagine the phrase "10 has 10 positive divisors", clearly absurd) you can probably see quickly that this is almost never true. For x to have x positive divisors, x would need to be divisible by *every* integer from 1 up to x inclusive. That will only happen if x = 1 or x = 2. Since x > 1, x must be 2, and Statement 1 is sufficient.

Statement 2 will be true for any even value of x (since any prime larger than x will be odd if x > 2), so is not helpful.

The answer is A.
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01 Jul 2011, 13:08
1
KUDOS
IMO the answer has to be A

Option A says x unique factors of x ...
In my opinion there are only two integers whose unique factors are equal to themselves
They are 1 = 1 and 2 = 1,2
And We need an integer greater that 1 so it has to be 2
Thus sufficient

Option B tells us that x+prime num larger that x = odd
therefore 2 + 3 = 5 ...odd
also if we suppose x= 4 then 4 +5 = 9...odd ....

therefore x can be any even number greater than 1 ...hence this option is insufficient
Manager
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Kudos [?]: 103 [0], given: 94

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01 Jul 2011, 13:37
thanks
kudos for both
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How can i lose my faith in life's fairness when i know that the dreams of those who sleep on the feathers are not more beautiful than the dreams of those who sleep on the ground? - Jubran Khaleel Jubran

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Kudos [?]: 59 [0], given: 13

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01 Jul 2011, 14:06
+ 1 for A.

Please OE for OA.

What is the resourse of this question
Manager
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Kudos [?]: 103 [0], given: 94

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01 Jul 2011, 14:12
mgmat 4th E, number properties , page 31
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How can i lose my faith in life's fairness when i know that the dreams of those who sleep on the feathers are not more beautiful than the dreams of those who sleep on the ground? - Jubran Khaleel Jubran

Manager
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Kudos [?]: 59 [0], given: 13

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01 Jul 2011, 14:16
Yes i just checked here.

The OA ia A.

So please correct your OA in the qustion. Because you posted the OA as C.

Silver89 wrote:
mgmat 4th E, number properties , page 31
Re: confused   [#permalink] 01 Jul 2011, 14:16
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If x > 1, what is the value of integer x? (1) There are x

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