![]() ![]() (2) There are a total of p prime numbers between 1 and 3,912 (1) There are a total of 100 prime numbers between 1 and p+1 ![]() If p is a prime number greater than 2, what is the value of p ? We don't know what number it is, but we can calculate it, hence we can calculate p, hence (2) is also sufficient. So yes the # of primes between MUST be prime number itself. Statement (2) says that "there are a total of p prime numbers between ". ![]() GMAT wouldn't give us such question then. If it turns out that the quantity of primes between is not a prime number itself, this will mean that the question is flawed. Stem and the statements are ALWAYS providing us with correct information. How can we be sure that n is a prime number and it is equal to p? Do we have to assume so in questions like these? Using Stmt 1, it's pretty straight forward. calculation will take some time but no need to do. PS: This is a DS question so we do not need to calculate the p till end. 1: p has to be 100th prime number starting from 2 (1st prime number) sufficient.ΔΆ: all the prime numbers between can be found and the number of prime number will be what we need. ![]()
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