Q 28. The statements given below are followed by some conclusions. Assume the statements are true, even if they contradict commonly known facts, and determine the conclusion/s that follow/s from the statements logically. Statements: I. Some bottles are round. II. All round are mice. III. All mice are cylindrical. IV. All cylindrical are balls. Conclusions: I. Some balls are mice. II. Some cylindrical are bottles. Ops: A. Only conclusion I follows B. Both conclusion I and conclusion II follow C. Only conclusion II follows D. Neither conclusion I nor conclusion II follows
Question
Q 28. The statements given below are followed by some conclusions. Assume the statements are true, even if they contradict commonly known facts, and determine the conclusion/s that follow/s from the statements logically.
Statements: I. Some bottles are round. II. All round are mice. III. All mice are cylindrical. IV. All cylindrical are balls.
Conclusions: I. Some balls are mice. II. Some cylindrical are bottles. Ops: A. Only conclusion I follows B. Both conclusion I and conclusion II follow C. Only conclusion II follows D. Neither conclusion I nor conclusion II follows
Solution
The answer is B. Both conclusion I and conclusion II follow.
Here's the step by step reasoning:
From the statements, we know that some bottles are round (Statement I), all round things are mice (Statement II), all mice are cylindrical (Statement III), and all cylindrical things are balls (Statement IV).
So, if some bottles are round and all round things are mice, then some bottles are mice. If all mice are cylindrical, then some bottles are cylindrical. And if all cylindrical things are balls, then some bottles are balls.
Therefore, conclusion II "Some cylindrical are bottles" follows logically from the statements.
Similarly, if all round things are mice and all mice are cylindrical, then all round things are cylindrical. If all cylindrical things are balls, then all round things are balls. And since some bottles are round, then some balls are mice.
Therefore, conclusion I "Some balls are mice" also follows logically from the statements.
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