Statements: 1. No student is a teacher. 2. All teachers are principals. Conclusions: I. No student is a principal. II. Some principals are teachers. Which conclusion(s) logically follow? MCQ with Answer and Explanation

Statements:
1. No student is a teacher.
2. All teachers are principals.
Conclusions:
I. No student is a principal.
II. Some principals are teachers.
Which conclusion(s) logically follow?
A. Neither I nor II follows
B. Only conclusion I follows
C. Only conclusion II follows
D. Both I and II follow
Answer: Option C
Solution (By JKSSB Mock Tests)
While no student is a teacher, the principal category could still encompass students outside of the teacher category. Therefore, I does not strictly follow. Since all teachers are principals, it is a fact that some principals are teachers (Conclusion II).

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Practice More Statement and Conclusion Questions

Question #1
Statement:
The government has increased taxes on luxury cars to boost revenue.
Conclusions:
I. Luxury cars will become more expensive for buyers.
II. Revenue of the government will definitely increase.
Which conclusion(s) logically follow?
A. Both I and II follow
B. Only conclusion II follows
C. Neither I nor II follows
D. Only conclusion I follows

Correct Answer: Option D


Explanation:
Increasing taxes on a product directly increases its final cost to the buyer, so I follows. However, an increase in tax does not guarantee an increase in overall revenue, as sales volume might drop significantly. Therefore, II is not a definite conclusion.

This question belongs to: Reasoning Statement and Conclusion
Question #2
Statement: The movie has subtitles. Conclusions: I. It is in a foreign language. II. Hearing-impaired people can understand it.
A. Only II follows
B. Only I follows
C. Both I and II follow
D. Neither I nor II follows

Correct Answer: Option A


Explanation:
Subtitles can be for foreign language films or for accessibility. I is not necessarily true; it could be in the same language for deaf viewers. II is a direct utility, so it follows.

This question belongs to: Reasoning Statement and Conclusion
Question #3
Statement: He is older than his brother. Conclusions: I. His brother is younger than him. II. They are not twins.
A. Only I follows
B. Both I and II follow
C. Neither I nor II follows
D. Only II follows

Correct Answer: Option B


Explanation:
I is a restatement. II: if one is older, they can't be twins (identical age). Both follow.

This question belongs to: Reasoning Statement and Conclusion