Three statements are given followed by three conclusions numbered 1, 2, and 3.
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:
Some shoes are slippers.
Some slippers are socks.
All socks are sandals.
Conclusions:
1. Some sandals are shoes.
2. Some sandals are slippers.
3. Some socks are shoes.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. Only conclusion 2 follows.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
1. Some sandals are shoes → False (It is possible, but no definite conclusion can be drawn.)
2. Some sandals are slippers→ True (As some slippers are socks and all socks are sandals, so, some sandals are slippers is also true.)
3. Some socks are shoes → False (It is possible, but no definite conclusion can be drawn.)
Hence, Only conclusion 2 follows.