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Difficulty:
55%
(hard)
Question Stats:
44% (01:04) correct
56%
(00:58)
wrong
based on 452
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If x is a prime number, what is the value of x?
(1) x < 15
(2) (x - 2) is multiple of 5.
(1) x < 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.
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.
27 Mar 2012, 14:15
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kashishh
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, so it's a multiple of 5 too.
(1)+(2) x can still be 2 or 7. Not sufficient.
Answer: E.
General Discussion
16 Jun 2016, 10:45
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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.
.
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.
(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.
