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 pencils are houses.
All houses are cars.
All cars are trucks.
Conclusions:
I. Some houses are pencils.
II. Some cars are houses.
III. Some trucks are cars.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. All conclusions follow.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. Some houses are pencils → True (As all pencils are houses, so, some houses are pencils is also true.)
II. Some cars are houses→ True (As all houses are cars, so, some cars are houses is also true.)
III. Some trucks are cars → True (As all cars are trucks, so, some trucks are cars is also true.)