Three statements are given followed by three conclusions numbered I, II and Ill. 1 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:
All males are boys.
Some teachers are boys.
All students are teachers.
Conclusions:
I. Some boys are males.
II. Some teachers are students.
III. All males are students.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. Only conclusions I and II follow.
The least possible Venn Diagram is as follows:
Conclusions:
I. Some boys are males.→ True (As all the males are boys , some boys are males is a definite conclusion.)
II. Some teachers are students.→ True (As all students are teachers, some teachers are students is a definite conclusion.)
III. All males are students.→ False (As there is no definite relation between males and students , it is possible but not definite)