number properties

[sud21]

P is an integer, is P a prime number?
1) P+3 is a prime number
2) P^2+3 is a prime number

[Jim@StratusPrep]

I am going to go under the assumption that P is positive here (although is doesn't state it)...

1) excluding 2, all prime numbers are odd so if you add 3 you will get an even number and thus P+3 cannot be prime if it is odd, so P must be 2.

2) Pretty much the same explanation as number 1

Thus the answer would be D

If P can be positive or negative (which would be my interpretation on the "real GMAT"

Use same odd/even logic from above, except this time one you can get an even prime.

1) P could be -1 or 2
2) P could only be 2

Answer would be B