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) AB is also a prime number.
Suggested Answer:D🗳️
Try to find opposing examples to the statements. 1. Pick A=7, B=13 A+B = 20, this is an even number. 2. Try A=3, B=7 AB=21, and 21 is not a prime number. 3. Try A=3, B=5 AB = 35= 3 x 3 x 3 x 3 x 3 = a number which is dividable by 3 and 9 and therefore is not a prime number. Statements 2 and 3 can't be true, the answer is D.
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