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 ministers are politicians.
All pilots are ministers.
No engineer is a politician.
Conclusions:
I. Some ministers are pilots.
II. No engineer is a minister.
III. No engineer is a pilot.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. All the conclusions follow.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. Some ministers are pilots → True (As all pilots are ministers, so, some ministers can be pilots).
II. No engineer is a minister → True (As no engineer is a politician and all ministers are engineers, so no engineer is a minister ).
III. No engineer is a pilot → True (As no engineer is a politician and all pilots are politicians, so no engineer is a minister).
Hence, All the conclusions follow.