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If x > 1, what is the value of integer x? (1) There are x [#permalink]
01 Jul 2011, 11:39

00:00

A

B

C

D

E

Difficulty:

5% (low)

Question Stats:

50% (00:00) correct
50% (00:50) wrong based on 6 sessions

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

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

Last edited by Silver89 on 01 Jul 2011, 13:20, edited 1 time in total.

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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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

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

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