问一道英文逻辑题

题目

问一道英文逻辑题
Question 13---16
(1) All P and X are N.
(2) All N except P are X.
(3) No P are M.
(4) No R are N.
(5) All M are either X or R.
(6) No Q are X.
13 Which of the following statements must be true if the above six statements are ture?
I.No R are P.
II.Some X are P.
III.Some X are M.
(A) I only
(B) I and II only
(C) I and III only
(D) I,II,and III.
(E) Neither I,II,nor III.
14 Which of the following must be false given the conditions as stated?
(A) No Q are P.
(B) Some Q are neither N nor R.
(C) Some R are X.
(D) All R are M.
(E) Some X are not M.
15 Which of the numbered statements can logically be deduced from one or more of the other statements?
(A) (2) (B) (3) (C) (4)
(D) (5) (E) (6)
16 If statement (2) were shown to be false,which of the following would necessarily be true?
(A) Some M are neither X nor R.
(B) Some P are not N.
(C) Some Q are X.
(D) Some N

答案

13 c
14 c
15 b
16 e
我是画集合圈圈做的,不是很确定
一些X是P或者一些N既不是P也不是X,或者两种情况同时存在
D的答案不全