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.
Statements:
All chocolates are biscuits.
All chips are biscuits.
All biscuits are potatoes.
Conclusions:
I. All chips are potatoes.
II. All potatoes are chocolates.
III. Some potatoes are chips.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. Only conclusions I and III follow.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. All chips are potatoes → True (As all chips are biscuits and all biscuits are potatoes, so, all chips are potatoes is also true.)
II. All potatoes are chocolates → False (It is possible, but no definite conclusion can be drawn.)
III. Some potatoes are chips → True (As all chips are biscuits and all biscuits are potatoes, so, some potatoes are chips is also true.)
Hence, Only conclusions I and III follow.