Question : Directions: In the following question below, some statements are followed by some conclusions. Taking the given statements to be true, even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusions logically follows from the given statements.
Statements:
I. No student is a teacher.
II. All students are children.
III. Some girls are students.
Conclusions:
I. Some children are not teachers.
II. Some girls are not teachers.
III. No girl is a teacher.
Option 1: Only conclusions I and II follow
Option 2: All conclusions follow
Option 3: Only conclusions II and III follow
Option 4: Only conclusions I and III follow
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Correct Answer: Only conclusions I and II follow
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion I:
Some children are not teachers – From the Venn diagram, it is evident that some children are students and no students are teachers. So, some children that are students will not be teachers. So, this conclusion follows.
Conclusion II:
Some girls are not teachers – From the Venn diagram, it is evident that some girls are students and no students are teachers. So, some girls that are students will not be teachers. So, this conclusion follows.
Conclusion III:
No girl is a teacher – From the Venn diagram, some girls are not teacher but there is no direct negative relation between girl and teacher. So, this conclusion does not follow.
Therefore, the only conclusions I and II follow. Hence, the first option is correct.
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