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If p is a prime number greater than 2, what is the value of

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If p is a prime number greater than 2, what is the value of [#permalink] New post 12 Jul 2008, 14:46
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75% (01:43) correct 25% (00:27) wrong based on 37 sessions
If p is a prime number greater than 2, what is the value of p?

(1) There are a total of 100 prime numbers between 1 and p+1.

(2) There are a total of p prime numbers between 1 and 3,912.

OPEN DISCUSSION OF THIS QUESTION IS HERE: if-p-is-a-prime-number-greater-than-2-what-is-the-value-of-91947.html
[Reveal] Spoiler: OA
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Re: If p is a prime number greater than 2, what is the value of [#permalink] New post 12 Jul 2008, 18:37
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700orbust wrote:
If p is a prime number greater than 2, what is the value of p?

(1) There are a total of 100 prime numbers between 1 and p+1.

(2) There are a total of p prime numbers between 1 and 3,912.

Please explain.


IMO answer is D.

In DS you dont have to calculate the answer but to determine if it is possible to find the answer from given information.
Lets see..
St1: this tells you that p is 100th prime number and certainly possible to calculate.
like 1st prime number is 2, 2nd is 3 and so on


Statutory warning: Trying to canculate it in reat GMAT test can be injurious to health
St1 sufficient.

St2:again it is possible to calculate how manny prime numbers are there between 1 and 3,912............sufficient


DS is actually a time savor since only thing we have to determine is if the given information is sufficient to find an answer.

Last edited by rishi2377 on 12 Jul 2008, 20:52, edited 1 time in total.
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Re: If p is a prime number greater than 2, what is the value of [#permalink] New post 12 Jul 2008, 20:31
1.
since p is a prime number... p+1 is even and therefore not a prime number. Thus p is the 100th prime number greater than 1.
sufficient

2.
one can determine the number of prime numbers between the given range with patience.
sufficient

D
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Re: If p is a prime number greater than 2, what is the value of [#permalink] New post 12 Jul 2008, 21:19
Hey good stratergy but you always have the risk of running straight intothe famous gmat traps so one has to be extra arefull while on 1 is guessing that to reconfirm the answer.............I generally revisit the steps jst to confirm if this is not the trap where i am falling
rishi2377 wrote:
700orbust wrote:
If p is a prime number greater than 2, what is the value of p?

(1) There are a total of 100 prime numbers between 1 and p+1.

(2) There are a total of p prime numbers between 1 and 3,912.

Please explain.


IMO answer is D.

In DS you dont have to calculate the answer but to determine if it is possible to find the answer from given information.
Lets see..
St1: this tells you that p is 100th prime number and certainly possible to calculate.
like 1st prime number is 2, 2nd is 3 and so on


Statutory warning: Trying to canculate it in reat GMAT test can be injurious to health
St1 sufficient.

St2:again it is possible to calculate how manny prime numbers are there between 1 and 3,912............sufficient


DS is actually a time savor since only thing we have to determine is if the given information is sufficient to find an answer.

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Re: If p is a prime number greater than 2, what is the value of [#permalink] New post 13 Jul 2008, 05:54
Thanks everyone! OA is (D)
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Re: If p is a prime number greater than 2, what is the value of [#permalink] New post 13 Jul 2008, 17:09
apurva1985 wrote:
Hey good stratergy but you always have the risk of running straight intothe famous gmat traps so one has to be extra arefull while on 1 is guessing that to reconfirm the answer.............I generally revisit the steps jst to confirm if this is not the trap where i am falling


Me too is very cautious abt those traps and most of the time confirm the answer with some calculative steps. thx for reminding me again apurva, GMAT doesn't have room for complecency.
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Re: If p is a prime number greater than 2, what is the value of [#permalink] New post 14 Jul 2008, 18:41
2,3,5,7,11,13,17,19....keep going till you get the 100th prime numbers. So, sufficient

2, 3, 5,... go till you hit the prime number before 3912. Count the numbers and we have p. Sufficient.
D
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Re: If p is a prime number greater than 2, what is the value of [#permalink] New post 14 Jul 2008, 21:41
Hey rishi you are welcome...........and you are right no room form complecency is present

rishi2377 wrote:
apurva1985 wrote:
Hey good stratergy but you always have the risk of running straight intothe famous gmat traps so one has to be extra arefull while on 1 is guessing that to reconfirm the answer.............I generally revisit the steps jst to confirm if this is not the trap where i am falling


Me too is very cautious abt those traps and most of the time confirm the answer with some calculative steps. thx for reminding me again apurva, GMAT doesn't have room for complecency.

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Re: If p is a prime number greater than 2, what is the value of [#permalink] New post 07 Oct 2014, 03:07
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Re: If p is a prime number greater than 2, what is the value of [#permalink] New post 07 Oct 2014, 03:13
Expert's post
700orbust wrote:
If p is a prime number greater than 2, what is the value of p?

(1) There are a total of 100 prime numbers between 1 and p+1.

(2) There are a total of p prime numbers between 1 and 3,912.

OPEN DISCUSSION OF THIS QUESTION IS HERE: if-p-is-a-prime-number-greater-than-2-what-is-the-value-of-91947.html


OPEN DISCUSSION OF THIS QUESTION IS HERE: if-p-is-a-prime-number-greater-than-2-what-is-the-value-of-91947.html
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Re: If p is a prime number greater than 2, what is the value of   [#permalink] 07 Oct 2014, 03:13
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