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:
A. All pencils are sticks.
B. Some sticks are notes.
C. All diaries are notes.
Conclusions:
I. Some notes are diaries.
II. Some sticks are pencils.
III. Some diaries are sticks.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. Both conclusions I and II follow.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. Some notes are diaries → True (As all diaries are notes, so, some notes are diaries is also true.)
II. Some sticks are pencils → True (As all pencils are sticks, so, some sticks are pencils is also true.)
III. Some diaries are sticks → False (This is possible, but no definite conclusion can be drawn.)
Hence, Only conclusions I and III follow.