Three statements are given, followed by three conclusions numbered I, II, and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
I. All covers are red.
II. All red are magazines.
III. Some magazines are books.
Conclusions:
I. Some books are red.
II. Some magazines are covers.
III. No cover is a book.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e Only conclusion II follows.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. Some books are red → False (It is possible but no definite conclusion can be drawn).
II. Some magazines are covers → True (As all covers are red, and all red are magazines, so some magazines are covers).
III. No cover is a book→ False (It is possible but no definite conclusion can be drawn).
Hence, Only conclusion II follows.