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:
All refrigerators are television sets.
Some speakers are television sets.
All speakers are fans.
Conclusions:
I. Some fans are television sets.
II. Some television sets are refrigerators.
III. No fan is a speaker:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. Only conclusions I and II follow.
The least possible venn diagram is:
Conclusions:
I. Some fans are television sets. → Follows (As all speakers are fans and some speakers are television sets. So, some fans are also television sets.)
II. Some television sets are refrigerators. → Follows (As all refrigerators are television sets. So, some television sets are definitely refrigerators.)
III. No fan is a speaker. → Does not follow (As all speakers are fans. So, no fan is a speaker is false)