求助一题 thank you very much！！！

AmyGMAT

Some good cooks are gourmet cooks who pridethemselves on always using extravagantly rich ingredients in elaborate recipes.Some good cooks can be characterized as fast-food cooks. They may use richingredients as long as the recipes are easy to follow and take little time.Other good cooks are health food enthusiasts, who are concerned primarily withthe nutritional value of food. But even though not all good cooks are big eaters, they all enjoypreparing and serving food.
If the information in the passage is true,which one of the following CANNOT be true?
(A) Most goodcooks do not use extravagantly rich ingredients.
(B) Everyone who enjoyspreparing and serving food is a good cook.
(C) More goodcooks who use extravagantly rich ingredients are big eaters than are good cookswho do not use such ingredients.
(D) There arefewer good cooks who enjoy serving and preparing food than there are good cookswho are big eaters.（D）
(E) Gourmetcooks, fast-food cooks, and cooks who are health food enthusiasts are all bigeaters.
答案选D  我选的B
文中最后一句话说不是所有的goodcooks都是big eaters，但是所有的good cooks都enjoy preparing andserving food.
B项是它的逆命题，原命题≠逆命题。那B不对啊

conniequan

原命题和逆命题没有必然关系
原命题与逆否命题同真同假
这里B是对的

AmyGMAT

谢谢你的解答
我查到解释了
B只是might be TRUE or false
而题干问的是cannot be TRUE
原因在这里，很具有迷惑性
conniequanNN你也注意哦

conniequan

其实我没看题目，就看到你写“原命题≠逆命题”  ，一想这肯定不对啊，就回复了
找到错了就好了，呵呵