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:
No student is a teacher.
All students are children.
Some girls are students.
Conclusions:
I. Some children are not teachers.
II. Some girls are not teachers.
III. No girl is a teacher.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. Only conclusions I and II follow.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. Some children are not teachers → True (As all students are children, and no student is a teacher, so, some children are not teachers is also true.)
II. Some girls are not teachers → True (As some girls are students, and no student is a teacher, so some girls are not teachers is also true.)
III. No girl is a teacher → False (It is possible, but no definite conclusion can be drawn.)