Directions: 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.
Statement:
All shoes are slippers.
All slippers are socks.
All socks are sandals.
Conclusions:
(I) Some sandals are slippers.
(II) Some socks are shoes.
(III) All sandals are shoes.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. Both Conclusion I and II follow.
Conclusions:
(I) Some sandals are slippers → Follows (As all slippers are socks and all socks are sandals, so some sandals are slippers is true.)
(II) Some socks are shoes → Follows (As all shoes are slippers and all slippers are socks, so some socks are shoes is true.)
(III) All sandals are shoes → Does not follow (It is possible but not definite.)