[求助]求教一道必然推论题，想得很郁闷出来灌灌水听说标题够长才吸引目光手动加长

Some people with a Bachelor’s degree are eligible for the intership program with the district attorney’s office. If a person meets the eligibility requirements for the program, that person is likely to gain admission to the local law school if he or she applies, whether or not that person actually participates in the internship program. However, no person without a Bachelor’s degree is eligible to participate in the internship program.

If the statements above are all true, which of the following is properly inferred from them?

C. Some people with a Bachelor’s degree are likely to gain admission to the local law school if they apply.

D.All people eligible for the internship program hold Bachelor degrees.

答案是C，但是我觉得D不就是文中最后句话的逆否命题吗。。。还请哪位大牛指点一二，在此先谢过了～～

C是明显对的，简单讲原文前两句话组合就得到了C。

D是有点问题。原文的逻辑关系是这样的。所有bechelor's degree holders画一个集合，所有persons who are eligible for the attorney's office internship画一个集合。然后由于第一句话，这个两个集合有交集，再加上最后一句话，后一个集合完全被包含于第一个集合，而这正是D。

我记得我做过一道类似的题目，说的是某学校一个专业培养的人都有考了某种证书，而想成为电工必须要这种证书，所以从这个学校这个专业毕业的人都有成为电工的资格

题目 问的是inferred。意思是找出隐含的关系。

D正好是可以从原文直接得出的，所以先排除 。

C 的推理过程。 Bachelor’s degree 是进入intership program 的前提

而进入intership program  是apply 并且gain admission 的前提。

所以 Bachelor’s degree 是apply 并且gain admission 的前提。

楼上正解。以下附imply和infer的区别

imply
Function:transitive verb
Etymology:Middle English emplien, from Anglo-French emplier to entangle — more at  EMPLOY
Date:14th century

1 obsolete   : ENFOLD, ENTWINE
2 : to involve or indicate by inference, association, or necessary consequence rather than by direct statement  <rights imply obligations>
3 : to contain potentially
4 : to express indirectly  <his silence implied consent>

infer
Function:verb
Etymology:Middle French or Latin; Middle French inferer, from Latin inferre, literally, to carry or bring into, from in- + ferre to carry — more at  BEAR
Date:1528

transitive verb 
1 : to derive as a conclusion from facts or premises  <we see smoke and infer fire — L. A. White> —  compare IMPLY
2 : GUESS, SURMISE  <your letterTallows me to infer that you are as well as ever — O. W. Holmes !1935>
3 a : to involve as a normal outcome of thought  b : to point out  : INDICATE  <this doth infer the zeal I had to see him — Shakespeare>  <another survey...infers that two-thirds of all present computer installations are not paying for themselves — H. R. Chellman>
4 : SUGGEST, HINT  <are you inferring I'm incompetent?>
intransitive verb   : to draw inferences  <men...have observed, inferred, and reasoned...to all kinds of results — John Dewey>

usage Sir Thomas More is the first writer known to have used both infer and imply in their approved senses (1528). He is also the first to have used infer in a sense close in meaning to imply (1533). Both of these uses of infer coexisted without comment until some time around the end of World War I. Since then, senses 3 and 4 of infer have been frequently condemned as an undesirable blurring of a useful distinction. The actual blurring has been done by the commentators. Sense 3, descended from More's use of 1533, does not occur with a personal subject. When objections arose, they were to a use with a personal subject (now sense 4). Since dictionaries did not recognize this use specifically, the objectors assumed that sense 3 was the one they found illogical, even though it had been in respectable use for four centuries. The actual usage condemned was a spoken one never used in logical discourse. At present sense 4 is found in print chiefly in letters to the editor and other informal prose, not in serious intellectual writing. The controversy over sense 4 has apparently reduced the frequency of use of sense 3.

原来这样子啊。。。一个小小的词就可以让解答变得面目全非。。。many many thx to楼上各位

P.S.被四楼严谨的精神给雷到了。。。