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:
Some dates are weeks.
Some weeks are months.
All months are years.
Conclusions:
I. No date is a month.
II. All weeks being years is a possibility.
III. All years can never be dates.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. Only conclusion II follows.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. No date is a month → False (It is possible, but no definite conclusion can be drawn.)
II. All weeks being years is a possibility → True (As some weeks are months, and all months are years, so all weeks being years is a possibility.)
III. All years can never be dates → False (It is possible, but no definite conclusion can be drawn.)
Hence, Only conclusion II follows.