Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follows from the statements.
Statements:
1.All fans are heaters.
2. Some coolers are fans.
3. All purifiers are coolers.
Conclusions:
I. All purifiers are heaters.
II. Some purifiers are heaters.
III. Some heaters are coolers.
IV. All coolers are heaters.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. Only conclusion III follows.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. All purifiers are heaters → False (It is possible but no definite conclusion can be drawn).
II. Some purifiers are heaters → False (It is possible but no definite conclusion can be drawn).
III. Some heaters are coolers → True (As all fans are heaters, and some fans are coolers, so, we can say that some heaters are coolers).
IV. All coolers are heaters → False (It is possible but no definite conclusion can be drawn).
Hence, Only conclusion III follows.