In this question, three statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follows/follow from the statements.
Statements:
Some doctors are scholars.
All scholars are intelligent.
All intelligent are smart.
Conclusions:
I. Some doctors are smart.
II. All scholars are smart.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. Both conclusions I and II follow.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. Some doctors are smart → True (As some doctors are scholars, all scholars are intelligent, and all intelligent are smart, so, some doctors are smart is also true.)
II. All scholars are smart → True (As all scholars are intelligent, and all intelligent are smart, so, all scholars are smart is also true.)
Hence, Both conclusions I and II follow.