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GMAT prep prime

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GMAT prep prime

by fullchandra » Thu Apr 23, 2009 2:05 am
If p is a prime no greater than 2, what is the value of p?

1. there are total 100 prime no between 1 and p+1

2. there are p prime no between 1 and 3912

Please explain.
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Re: GMAT prep prime

by bluementor » Thu Apr 23, 2009 2:46 am
fullchandra wrote:If p is a prime no greater than 2, what is the value of p?

1. there are total 100 prime no between 1 and p+1

2. there are p prime no between 1 and 3912

Please explain.
Statement 1:
It's possible to know the hundredth prime number. This is a fixed known value. Sufficient.

Statement 2:
Again, it's possible to know all the primes between 1 and 3912. You can list them all and count the number of primes less than 3912. Sufficient.

Choose D.

Note: Since this is a DS question, you only need to conclude that there is a definite number of primes within a certain range. You don't need to calculate the exact value of p.

-BM-
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by ketkoag » Sat Apr 25, 2009 3:50 am
D for me as well, nice explnantion bluementor.. :)
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Re: GMAT prep prime

by Vemuri » Sat Apr 25, 2009 4:32 am
bluementor wrote:
fullchandra wrote:If p is a prime no greater than 2, what is the value of p?

1. there are total 100 prime no between 1 and p+1

2. there are p prime no between 1 and 3912

Please explain.
Statement 1:
It's possible to know the hundredth prime number. This is a fixed known value. Sufficient.

Statement 2:
Again, it's possible to know all the primes between 1 and 3912. You can list them all and count the number of primes less than 3912. Sufficient.

Choose D.

Note: Since this is a DS question, you only need to conclude that there is a definite number of primes within a certain range. You don't need to calculate the exact value of p.

-BM-

Statement 1 is sufficient as mentioned above.

The question stem says that p is a prime number > 2. So, it means p can be 3, 5, 7, 11, 13......etc

Statement 2 is tricky. It says there are p prime numbers between 1 & 3912. So, there should be a prime number that is the same as the number of prime numbers between 1 & 3912.

What is the OA?
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