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.
GMAT prep prime
This topic has expert replies
-
- Newbie | Next Rank: 10 Posts
- Posts: 5
- Joined: Sat Feb 28, 2009 11:40 am
- Location: India
-
- Master | Next Rank: 500 Posts
- Posts: 418
- Joined: Wed Jun 11, 2008 5:29 am
- Thanked: 65 times
Statement 1: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.
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-
- Vemuri
- Legendary Member
- Posts: 682
- Joined: Fri Jan 16, 2009 2:40 am
- Thanked: 32 times
- Followed by:1 members
bluementor wrote:Statement 1: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.
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?