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Difficulty:
55%
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Question Stats:
44% (01:04) correct
56%
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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.
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
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.
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.
