If A and B are two prime numbers bigger than 2, which of the following can't be true?
(1) A + B is an even number.
(2) A x B is also a prime number.
(3) A^B is also a prime number.  Options.
A) 1 only.
B) 2 only.
C) 3 only.
D) 2 and 3 only.
E) 1, 2 and 3.
(1) A + B is an even number. : All primes beyond 2 are odd, so odd+odd = even, so true   (2) A x B is also a prime number. : Beats the property of primes, so false   (3) A^B is also a prime number. : Beats the property of primes, so false   Answer : 2 and 3 only   ANSWER:2 and 3 only.
<result>D</result>
If A and B are two prime numbers bigger than 2, which of the following can't be true?
(1) A + B is an even number.
(2) A x B is also a prime number.
(3) A^B is also a prime number.