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. Neither I nor II follows
B. Both I and II follow
C. Only conclusion I follows
D. Only conclusion II follows
Answer: Option B
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.
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?
Explanation:
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).
Statement: Price of each consumer product has increased at least by 8%.
Conclusions:
I. Prices of some commodities has not increased.
II. There is not a single commodity in consumer products whose price has not increased.
Explanation:
Conclusion II directly restates the given information: every consumer product's price has increased. Conclusion I contradicts the statement, so it does not follow.
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