I disagree and actually agree with Tiger..the wording is weird..Look, I can write 25 as a sum of 1 prime integer..which is 5..and i can add 5*5+2=27..here i have 2 different prime integers..5 and 2..

GMAT TIGER wrote:

is it a correct question?

the question is not asking for n to be a prime integer rather it is asking whether "can n be a sum of two +ve prime integers"? the question for me is ambigious cuz any odd integer > 3 can be written as sum of two prime or non prime integers. since its a yes/no question, the answer is yes/no, both.

lets say n is 5, which is equal to 2+3. so yes. n=5 is also equal to 1+4, so no...

lets say n is 7, which is equal to 2+5 or 3+4. again yes or no.

so there is no integer that is a sum of only two +ve prime integers.

It doesn't say "only", it says "can be written".

And it it the case for 5 : "it can be written as the sum of two different positive prime numbers" (5=2+3)

It is the case for 7 too : "it can be written as the sum of two different positive prime numbers" (7=5+2)

But it is not the case for 27 as buffdady said (no : if we write 27=25+2 it doesn't work since 25 is not a prime number)

Answer is (E):

It works for 7 but not for 27: (1) and (2) are insufficient.