Statements: 1. All A are B. 2. Some A are C. Conclusions: I. Some B are C. II. Some C are A. Which conclusion(s) logically follow? MCQ with Answer and Explanation

Statements:
1. All A are B.
2. Some A are C.
Conclusions:
I. Some B are C.
II. Some C are A.
Which conclusion(s) logically follow?
A. Only conclusion II follows
B. Neither I nor II follows
C. Both I and II follow
D. Only conclusion I follows
Answer: Option C
Solution (By JKSSB Mock Tests)
Since some A are C, and all A are inside B, the intersection of A and C must also be inside B, meaning some B are C (I). 'Some A are C' directly implies its reverse 'Some C are A' (II). Both follow.

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Practice More Statement and Conclusion Questions

Question #1
Statement: This medicine is effective only if taken with warm water. Conclusions: I. Taking with cold water reduces its effect. II. It cures all diseases.
A. Only I follows
B. Only II follows
C. Neither I nor II follows
D. Both I and II follow

Correct Answer: Option C


Explanation:
I cannot be concluded because the statement does not mention cold water; it only states condition for effectiveness. II is a gross exaggeration. Neither follows.

This question belongs to: Reasoning Statement and Conclusion
Question #2
Statement: After collision of two vessels in the sea all the crewmen and passengers are declared as missing - A news report.
Conclusions:
I. No one from the two vessels has survived after the collision.
II. A few persons from the two vessels may have survived and are missing.
A. Both conclusions I and II follow
B. Only conclusion II follows
C. Neither conclusion I nor II follows
D. Only conclusion I follows

Correct Answer: Option D


Explanation:
Conclusion I follows because 'declared missing' in such contexts implies no survivors have been found, so it can be concluded that no one survived. Conclusion II is contradictory; if some may have survived, they would not all be declared missing without hope.

This question belongs to: Reasoning Statement and Conclusion
Question #3
Statement:
All employees of this company are highly educated.
Conclusions:
I. The company only hires individuals with advanced degrees.
II. An uneducated person cannot be an employee of this company.
Which conclusion(s) logically follow?
A. Both I and II follow
B. Only conclusion I follows
C. Neither I nor II follows
D. Only conclusion II follows

Correct Answer: Option D


Explanation:
The statement says all current employees are highly educated, which implies an uneducated person is not among them (Conclusion II follows). However, 'highly educated' does not necessarily mean 'advanced degrees' (Ph.D., Master's, etc.), so Conclusion I is an over-assumption.

This question belongs to: Reasoning Statement and Conclusion