Statements: 1. No A is B. 2. Some B are C. Conclusions: I. Some C are not A. II. Some A are not C. Which conclusion(s) logically follow? MCQ with Answer and Explanation
Statements:
1. No A is B.
2. Some B are C.
Conclusions:
I. Some C are not A.
II. Some A are not C.
Which conclusion(s) logically follow?
A. Both I and II follow
B. Only conclusion I follows
C. Only conclusion II follows
D. Neither I nor II follows
Answer: Option B
Solution (By JKSSB Mock Tests)
Since some B are C, and no B is A, the portion of C that is B can never be A. Thus, some C are definitely not A (Conclusion I). However, we do not know if the rest of A interacts with the rest of C, so Conclusion II does not follow.
Statements:
1. Some books are pens.
2. Some pens are erasers.
Conclusions:
I. Some books are erasers.
II. No book is an eraser.
Which conclusion(s) logically follow?
Explanation:
There is no direct relationship established between books and erasers. They might overlap, or they might not. Therefore, neither conclusion can be definitively drawn individually. However, they form a complementary pair (Some A are B / No A is B), meaning one of them must be true. Hence, 'Either I or II follows' is the correct logical deduction. (Mapped to option C for this specific question).
Statement: The classroom has a capacity of 40 students. Conclusions: I. There are exactly 40 students enrolled. II. The room cannot accommodate more than 40 students.
Statements:
1. All roses are flowers.
2. Some flowers are red.
Conclusions:
I. Some roses are red.
II. All red things are flowers.
Which conclusion(s) logically follow?
Explanation:
Roses are inside the flower circle, and the red circle intersects the flower circle. However, there's no guarantee the red circle intersects the rose circle specifically. Thus, I does not follow. II is a reversal of a 'some' statement, which is invalid.
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