多选题If p and q are primes greater than 2, which of the following statements must be true? (Indicate all such statements.)Ap + q is evenBpq is oddCp2-q2 is even

多选题
If p and q are primes greater than 2, which of the following statements must be true? (Indicate all such statements.)
A

p + q is even

B

pq is odd

C

p2-q2 is even


参考解析

解析:
由于所有大于2的质数都是奇数,因此p和q均是奇数,两奇数相加为偶数,所以A项正确;两奇数的乘积还是奇数,所以B项正确;两奇数的平方还各自是奇数,而两奇数的平方之差是偶数,因此C项也正确;所以选择A、B、C三项。

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