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

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Manager
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If x is a prime number, what is the value of x? [#permalink]  09 Aug 2011, 20:50
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88% (01:39) correct 12% (00:43) wrong based on 42 sessions
If x is a prime number, what is the value of x?

(1) There are a total of 50 prime numbers between 2 and x, inclusive.
(2) There is no integer n such that x is divisible by n and 1 < n< x.
[Reveal] Spoiler: OA
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Re: Number props DS [#permalink]  09 Aug 2011, 21:04
ruturaj wrote:
If x is a prime number, what is the value of x?

(1) There are a total of 50 prime numbers between 2 and x, inclusive.
(2) There is no integer n such that x is divisible by n and 1 < n< x.

From 1, x can be identified. Sufficient.
From 2, x is not 2 but could be any prime > 2. No prime is divisible by n given that 1 < n< x. (statement 2 is not much clear for me. May be its a long brake for me).

So it should be A.
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Re: Number props DS [#permalink]  09 Aug 2011, 23:16
Fistail wrote:
ruturaj wrote:
If x is a prime number, what is the value of x?

(1) There are a total of 50 prime numbers between 2 and x, inclusive.
(2) There is no integer n such that x is divisible by n and 1 < n< x.

From 1, x can be identified. Sufficient.
From 2, x is not 2 but could be any prime > 2. No prime is divisible by n given that 1 < n< x. (statement 2 is not much clear for me. May be its a long brake for me).

So it should be A.

Please explain how 1 is sufficient..please explain with steps..
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Re: Number props DS [#permalink]  09 Aug 2011, 23:23
ruturaj wrote:
Please explain how 1 is sufficient..please explain with steps..

There is 1 prime number btwn 2 and 5 (which is 3).

2 prime numbers btwn 2 and 7 (which is 3 and 5).

so 50 prime numbers btwn 2 and x (just put in 50 prime numbers from 3 onwards and get the 51st prime number to get X)

You don't have to calculate it out because its a DS qtn but you know you can get the answer. So (A) is sufficient.
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Re: Number props DS [#permalink]  10 Aug 2011, 00:41
openbox1 wrote:
ruturaj wrote:
Please explain how 1 is sufficient..please explain with steps..

There is 1 prime number btwn 2 and 5 (which is 3).

2 prime numbers btwn 2 and 7 (which is 3 and 5).

so 50 prime numbers btwn 2 and x (just put in 50 prime numbers from 3 onwards and get the 51st prime number to get X)

You don't have to calculate it out because its a DS qtn but you know you can get the answer. So (A) is sufficient.

Yes but there are several prime nos how can we find the one exact value of x?
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Re: Number props DS [#permalink]  10 Aug 2011, 01:42
I thought the same first but i think the word to be noticed in the ques stem is between..."There are a total of 50 prime numbers between 2 and x"..

so, x will be the 51st value.
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Re: Number props DS [#permalink]  10 Aug 2011, 02:26
1) 2, p1, p2 ... p51. Sufficient
2) x is not 2. Not sufficient

A

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Re: Number props DS [#permalink]  10 Aug 2011, 10:05
ruturaj wrote:
Fistail wrote:
ruturaj wrote:
If x is a prime number, what is the value of x?

(1) There are a total of 50 prime numbers between 2 and x, inclusive.
(2) There is no integer n such that x is divisible by n and 1 < n< x.

From 1, x can be identified. Sufficient.
From 2, x is not 2 but could be any prime > 2. No prime is divisible by n given that 1 < n< x. (statement 2 is not much clear for me. May be its a long brake for me).

So it should be A.

Please explain how 1 is sufficient..please explain with steps..

(1) If there are a total of 50 prime numbers between 2 and x, inclusive, then prime numbers are p1 (which is 2), p2 (=3), p3 (=5), ....... p50 (=x). So x = p50. sufficient.

However the question is what is x? But we do not need to answer what exactly is x. What we need is whether statement 1 is sufficient to answer the question or not. That's sufficient.
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Re: If x is a prime number, what is the value of x? (1) There [#permalink]  25 Nov 2013, 20:06
stm2 is not clear to me. Can anyone provide better explanation. thanks
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Re: If x is a prime number, what is the value of x? (1) There [#permalink]  25 Nov 2013, 20:36
Expert's post
monirjewel wrote:
stm2 is not clear to me. Can anyone provide better explanation. thanks

F.S 2 states that "There is no integer n such that x is divisible by n and 1 < n< x."

In other words, it means that for the integer x,there is no other factor of x which is greater than 1 and less than x.

For example, take x=4. We have n=2, where 4 is divisible by 2, and 1<2<4.

But, for x=5,we have no value of 'n', which will be less than 5 and greater than 1.Thus, statement 2 basically means to say that x is a prime integer, which we already know.Insufficient.

Hope this helps.
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Re: If x is a prime number, what is the value of x? (1) There   [#permalink] 25 Nov 2013, 20:36
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