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If x is a prime number, what is the value of x? [#permalink]

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27 Mar 2012, 13:07

2

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A

B

C

D

E

Difficulty:

65% (hard)

Question Stats:

46% (01:44) correct
54% (00:40) wrong based on 150 sessions

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If x is a prime number, what is the value of x?

(1) x is less than 15 (2) (x-2) is multiple of 5.

first thing x is prime given in question. st. 1.) gives the options 2,3,5,7,11,13 so not sufficient st. 2.) for x-2 to be a multiple of 5 x could be 7, 17 etc as the question says x to be prime but st 2. not suffiecient

together isnt the only option is 7 ? as st. 1. says less than 15 and st. 2 states x-2 is multiple of 5 shouldn't the answer be c? given as E.

first thing x is prime given in question. st. 1.) gives the options 2,3,5,7,11,13 so not sufficient st. 2.) for x-2 to be a multiple of 5 x could be 7, 17 etc as the question says x to be prime but st 2. not suffiecient

together isnt the only option is 7 ? as st. 1. says less than 15 and st. 2 states x-2 is multiple of 5 shouldn't the answer be c? given as E.

If x is a prime number, what is the value of x?

(1) x is less than 15 --> x can be 2, 3, 5, 7, 11, or 13. Not sufficient. (2) (x-2) is multiple of 5 --> also not sufficient, since x can take more than 1 value, for example 2, 7, 17, ... Not sufficient.

Notice that 2 is a possible value for x, since 2-2=0 and zero is a multiple of every integer (except zero itself), so it's a multiple of 5 too.

Re: If x is a prime number, what is the value of x? [#permalink]

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05 Sep 2014, 04:38

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If x is a prime number, what is the value of x? [#permalink]

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16 Jun 2016, 09:45

If x is a prime number, what is the value of x?

(1) x is less than 15 (2) (x-2) is multiple of 5. . A prime number is a whole number greater than 1, whose only two whole-number factors are 1 and itself. If this is the constraint then considering statement 2 it means x-2 is multiple of 5 or in other words x-2 is divisible by 5. Therefore the only values possible to satisfy the constraint of being a prime number and x-2 being divisible by 5 are:

7 and 17 => x-2 is 5 and x-2 is 15 both divisible by 5. Take 1 and 2 together x<15 , x is prime and x-2 divisible by 5 only integer value possible is 7. Hence I think correct answer is C. I disagree with above explanation by Bunuel as 0 is not prime as given in question constraint.

Re: If x is a prime number, what is the value of x? [#permalink]

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21 Jul 2016, 10:36

Here is my retake and I hope it clears the air:

we know stmt 1 doesnt suffice. So, A and D are out. Stmt 2 gives us: (x-2) is a multiple of 5. This can we written as (x-2)= 5 x k(natural number) or x= 5k+2. now the possible values of k could be (keeping in mind X is a prime number). if k=0, then x=2 if k=1, then x=7 if k=3, then x=17 and so on. Clearly stmnt 2 is not sufficient in itself. Combining Stmt1 and Stmt2, we get x is less than 15 and therefore, x can have 2 and 7 as valid values. Since we have to find a unique value of x, both the stmts are not sufficient.

If x is a prime number, what is the value of x? [#permalink]

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23 Jul 2016, 05:50

Senthil7 wrote:

If x is a prime number, what is the value of x?

(1) x is less than 15 (2) (x-2) is multiple of 5. . A prime number is a whole number greater than 1, whose only two whole-number factors are 1 and itself. If this is the constraint then considering statement 2 it means x-2 is multiple of 5 or in other words x-2 is divisible by 5. Therefore the only values possible to satisfy the constraint of being a prime number and x-2 being divisible by 5 are:

7 and 17 => x-2 is 5 and x-2 is 15 both divisible by 5. Take 1 and 2 together x<15 , x is prime and x-2 divisible by 5 only integer value possible is 7. Hence I think correct answer is C. I disagree with above explanation by Bunuel as 0 is not prime as given in question constraint.

Re: If x is a prime number, what is the value of x? [#permalink]

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21 Aug 2016, 08:14

X is a prime Lets get X statement 1 => X<15 => X can be => {2,3,5,7,11,13} => insuff statement 2 => x=5k+2 => x can be 2 or 7 or anything else => insuff combining the two statements => x can be 2 or 7 . No exact values=> clearly insuff

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Re: If x is a prime number, what is the value of x?
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21 Aug 2016, 08:14

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