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Is x a prime number?

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Is x a prime number? [#permalink] New post 20 Dec 2012, 00:16
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Is x a prime number?

(1) x is an even number.
(2) x can not be divided evenly by an odd number other than 1.

can someone please explain statement 2
[Reveal] Spoiler: OA

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Re: Is x a prime number? [#permalink] New post 20 Dec 2012, 00:34
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Statement 2 states that x is not evenly divisible by an odd number other than 1.
It talks, IMO, about numbers such as 2, 4, 8, 10 etc i.e. multiples of 2 that are not divisible by ANY odd number but 1.
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Re: Is x a prime number? [#permalink] New post 20 Dec 2012, 01:14
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Marcab wrote:
Statement 2 states that x is not evenly divisible by an odd number other than 1.
It talks, IMO, about numbers such as 2, 4, 8, 10 etc i.e. multiples of 2 that are not divisible by ANY odd number but 1.


10 is divisible by 5 so x cannot be 10.

Is x a prime number?

(1) x is an even number. If x=2 then the answer is YES but if x is any other even number then the answer is NO. Not sufficient.

(2) x can not be divided evenly by an odd number other than 1. This statement implies that x is some power of 2: 2, 4, 8, 16, ... Not sufficient.

(1)+(2) Still not sufficient. Consider x=2 and x=4.

Answer: E.
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Re: Is x a prime number? [#permalink] New post 20 Dec 2012, 01:20
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Re: Is x a prime number? [#permalink] New post 31 Jul 2014, 01:32
This is more of a "don't overthink too much question" than anything else.
is x prime?

(1) x is even. X could be 2, hence prime. But also 4,6,8,...IS
(2) x can not be divided evenly by an odd number other than 1. This is tempting but the statement says nothing about even numbers. So x could be even! (I see what you did there).

Together it basically stays the same. From (2), x could be be even and from (1) we only get that x is even, hence still IS.

E.
Re: Is x a prime number?   [#permalink] 31 Jul 2014, 01:32
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