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If x > 1, what is the value of x? i) There are x unique

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If x > 1, what is the value of x? i) There are x unique [#permalink] New post 02 Jun 2011, 17:35
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If x > 1, what is the value of x?

i) There are x unique factors of x.
ii) The sum of x and any prime number larger than x is odd.

i) is understood

ii) The sum of x and any prime number larger than x is odd.

i.e if x > 1 then x has to be atleast 2 (the only prime number that is also even)

E + or - O = ODD

So only 2 will fulfill this criteria. If we take any prime number greater than 2 then O + or - O = Even.

So the answer should be each statement alone is sufficient.

Please clarify.
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Re: What is x? [#permalink] New post 02 Jun 2011, 18:03
melguy wrote:
If x > 1, what is the value of x?

i) There are x unique factors of x.
ii) The sum of x and any prime number larger than x is odd.

i) is understood

ii) The sum of x and any prime number larger than x is odd.

i.e if x > 1 then x has to be atleast 2 (the only prime number that is also even)

E + or - O = ODD

So only 2 will fulfill this criteria. If we take any prime number greater than 2 then O + or - O = Even.

So the answer should be each statement alone is sufficient.

Please clarify.


St2:
x is not necessarily prime.
x is definitely even.
4+7=11(odd); x=4, Prime Number greater than x(4) is 7; 7+4=odd
6+7=13(odd); x=6, Prime Number greater than x(6) is 7; 6+7=odd
Not Sufficient.
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Manager
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Re: What is x? [#permalink] New post 02 Jun 2011, 18:06
St2:
x is not necessarily prime.
x is definitely even.
4+7=11(odd); x=4, Prime Number greater than x(4) is 7; 7+4=odd
6+7=13(odd); x=6, Prime Number greater than x(6) is 7; 6+7=odd
Not Sufficient.[/quote]

duh! Thanks for pointing out the mistake! I am just too tired and burnt out :roll: exam in 24 days :evil:
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Re: What is x? [#permalink] New post 02 Jun 2011, 19:42
So as per statement, is x=2?
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Re: What is x? [#permalink] New post 03 Jun 2011, 00:59
agdimple333 wrote:
So as per statement, is x=2?


Yes, as the statement1.
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Re: What is x? [#permalink] New post 03 Jun 2011, 16:47
1. Sufficient

as 2 is >1 and has 2 unique factors 1 and 2.

every other x >1 does not have x unique factors.

2. Not sufficient

x + prime greater than 1 is odd

as x >1

x ( x + odd = odd => x must be even)
2 + 3 is odd
4 + 5 is odd


Answer is A.
Re: What is x?   [#permalink] 03 Jun 2011, 16:47
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