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 follow(s) from the statements.
Statements:
All combs are scales.
Some routers are combs.
All gloves are routers.
Conclusions:
I. All gloves are scales.
II. Some gloves are scales.
III. Some scales are routers.
IV. All routers are scales.
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 gloves are scales → False (It is possible but no definite conclusion can be drawn.)
II. Some gloves are scales → False (It is possible but no definite conclusion can be drawn.)
III. Some scales are routers → True (As all combs are scales and some routers are combs so, some scales are routers is also true.)
IV. All routers are scales → False (It is possible but no definite conclusion can be drawn.)
Hence, Only conclusion III follows.