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

题目
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

参考答案和解析
正确答案: B,A
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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相似问题和答案

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A.The volume of deals for hedging purposes is much higher than that for arbitraging and speculative purposes.

B.The foreign exchange business for commerce and tourism must be done before 11a.m.on 2 January.

C.It is hedgers' money that drives much larger volume of other transactions.

D.None of the above.


正确答案:C
解析:期货交易中,虽然投机目的和套利目的的交易量远远高于以保值为目的的交易量,但是保值交易的资金最终促成了其他交易。

第2题:

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正确答案:C

第3题:

18 Which of the following statements about accounting ratios and their interpretation are correct?

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2 If a company has a high price earnings ratio, this will often indicate that the market expects its profits to rise.

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A 2 and 3 only

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正确答案:D

第6题:

Which of the following is/are TRUE regarding lashing requirements to secure vehicles aboard Ro-Ro vessels?

A.The securing of cargo on flats and trailers and in containers must be adequate to withstand both road and sea motions

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D.All the above


正确答案:D

第7题:

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正确答案:D

第8题:

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第10题:

单选题
The skulls and pelvic bones of some species of dinosaur share characteristics with the skulls and pelvic bones of all modern birds. Even though not all dinosaurs have these characteristics, there are scientists who claim that all animals that do have these characteristics are dinosaurs.  If the statements above and the claim of the scientists are true, which of the following must also be true?
A

Birds share more characteristics with dinosaurs than they do with other animals.

B

Some ancient dinosaurs were indistinguishable from modern birds.

C

All animals whose skulls share the characteristics of those of modern birds also have pelvic bones that are similar to those of modern birds.

D

Modern birds are dinosaurs.

E

All dinosaurs are birds.


正确答案: E
解析:
由文段可知,科学家根据一些恐龙的头盖骨和骨盆骨与所有现代鸟类的头盖骨和骨盆骨有许多相同特征,得出结论:所有具有这些特征的动物是恐龙,如果这个推理是正确的话,我们可以认为现代鸟类是恐龙,故本题选D项。

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