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 cards are boxes.
All boxes are torches.
All torches are shoes.
Conclusions:
I. All shoes are torches.
II. All torches are boxes.
III. All boxes are cards.
IV. All cards are shoes.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. Only conclusion IV follows.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. All shoes are torches → False (It is possible, but no definite conclusion can be drawn.)
II. All torches are boxes → False (It is possible, but no definite conclusion can be drawn.)
III. All boxes are cards → False (It is possible, but no definite conclusion can be drawn.)
IV. All cards are shoes → True (As all cards are boxes, all boxes are torches, and all torches are shoes, so all cards are shoes.)