Statements: 1. Some stars are moons. 2. Some moons are planets. Conclusions: I. No star is a planet. II. Some stars are planets. Which conclusion(s) logically follow? MCQ with Answer and Explanation
Statements:
1. Some stars are moons.
2. Some moons are planets.
Conclusions:
I. No star is a planet.
II. Some stars are planets.
Which conclusion(s) logically follow?
A. Only conclusion II follows
B. Neither I nor II follows
C. Either I or II follows
D. Only conclusion I follows
Answer: Option C
Solution (By JKExamLibrary)
There is no direct connection between stars and planets. Therefore, neither conclusion is certain. However, because they form a complementary pair (No A is B / Some A are B), one of them must mathematically be true. Thus, either I or II follows.
Explanation:
I does not follow from a single case. II follows because if my umbrella is black, then there exists at least one black thing that is an umbrella, so 'some black things are umbrellas' is true.
Statement: If you want to earn interest rate every second month then you can use our banking services.
Conclusions:
I. Banks have planned to give interest rates at different time periods.
II. Customers are given separate interest rates.
Explanation:
Conclusion I follows because offering a scheme with interest every second month indicates a plan to provide interest at varied time intervals. Conclusion II is not supported; the advertisement does not claim separate rates for different customers.
Statement:
The old order changed yielding place to new.
Conclusions:
I. Change is the law of nature.
II. Discard old ideas because they are old.
Which conclusion(s) logically follow?
Explanation:
The statement reflects a philosophical truth that old things are eventually replaced by new things, reflecting the law of continuous change (I). However, it does not prescribe actively discarding ideas *just* because they are old (II).
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