You are given 3 sets of arguments, each containing three sentences. Select the set(s) in which the third statement is a logical conclusion of the first two statements. A. (i) All shops are showrooms. (ii) No showroom is a mall. (iii) All shops are not malls. B (i) No Japanese can dance. (ii) All Americans are books. (iii) Americans and Japanese can dance. C. (i) No P is Q. (ii) No Q is R. (iii) No P is R.
You are given 3 sets of arguments, each containing three sentences. Select the set(s) in which the third statement is a logical conclusion of the first two statements. A. (i) All shops are showrooms. (ii) No showroom is a mall. (iii) All shops are not malls. B (i) No Japanese can dance. (ii) All Americans are books. (iii) Americans and Japanese can dance. C. (i) No P is Q. (ii) No Q is R. (iii) No P is R. Correct Answer Only A
A. (i) All shops are showrooms.
(ii) No showroom is a mall.
(iii) All shops are not malls. → True (As, All shops are showrooms and No showroom is a mall → All shops are not malls)
B (i) No Japanese can dance.
(ii) All Americans are books.
(iii) Americans and Japanese can dance. → False (As, there is no definite relation between Americans and Dance. Hence, false and No Japanese can dance)
C. (i) No P is Q.
(ii) No Q is R.
(iii) No P is R. → False (As, there is no definite relation between P and R. Hence, false)
Hence, ‘Only A’ is the correct answer.