Statements: 1. All water is liquid. 2. Some ice is water. Conclusions: I. Some ice is liquid. II. All ice is liquid. Which conclusion(s) logically follow? MCQ with Answer and Explanation
Statements:
1. All water is liquid.
2. Some ice is water.
Conclusions:
I. Some ice is liquid.
II. All ice is liquid.
Which conclusion(s) logically follow?
A. Only conclusion II follows
B. Only conclusion I follows
C. Both I and II follow
D. Neither I nor II follows
Answer: Option B
Solution (By JKExamLibrary)
The part of ice that is water must also be liquid because all water is liquid. Therefore, some ice is liquid (Conclusion I). We do not know about all ice, so Conclusion II does not necessarily follow.
Statement: The company announced a bonus for all employees. Conclusions: I. Every employee will receive extra money. II. The company had a profitable year.
Explanation:
Bonus means extra pay, so I follows. Profitability is a common reason but not logically guaranteed; they could give bonus even in loss to retain talent. So II does not follow.
Statements:
1. Some cups are plates.
2. No plate is a spoon.
Conclusions:
I. Some cups are not spoons.
II. No cup is a spoon.
Which conclusion(s) logically follow?
Explanation:
Since some cups are plates, and no plates are spoons, the portion of cups that are plates can never be spoons. Thus, some cups are definitely not spoons (Conclusion I). However, we do not know about all cups, so we cannot definitively say no cup is a spoon (Conclusion II).
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