Q 25. 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 Q 26. The statements given below are followed by two 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. All keys are rocks. II. Some rocks are papers. III. All papers are scissors. IV. All scissors are gods. Conclusions: I. Some gods are papers. II. Some scissors are keys. Ops: A. Only conclusion I follows B. Both conclusion I and conclusion II follow C. Neither conclusion I nor conclusion II follows D. Only conclusion II follows
Question
Q 25. 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
Q 26. The statements given below are followed by two 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. All keys are rocks. II. Some rocks are papers. III. All papers are scissors. IV. All scissors are gods.
Conclusions: I. Some gods are papers. II. Some scissors are keys. Ops: A. Only conclusion I follows B. Both conclusion I and conclusion II follow C. Neither conclusion I nor conclusion II follows D. Only conclusion II follows
Solution
Sure, let's analyze these questions one by one.
Q 25.
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.
From the statements, we can infer that since all round are mice and some bottles are round, some bottles are also mice. Since all mice are cylindrical, some bottles are also cylindrical. And since all cylindrical are balls, some bottles are also balls. Therefore, we can conclude that some balls are mice (Conclusion I) and some cylindrical are bottles (Conclusion II). So, both conclusions I and II follow. The answer is B. Both conclusion I and conclusion II follow.
Q 26.
Statements: I. All keys are rocks. II. Some rocks are papers. III. All papers are scissors. IV. All scissors are gods.
Conclusions: I. Some gods are papers. II. Some scissors are keys.
From the statements, we can infer that since all papers are scissors and some rocks are papers, some rocks are also scissors. Since all scissors are gods, some rocks are also gods. But we cannot infer that some scissors are keys because the statement only says that all keys are rocks, not that some rocks are keys. Therefore, we can conclude that some gods are papers (Conclusion I) but we cannot conclude that some scissors are keys (Conclusion II). So, only conclusion I follows. The answer is A. Only conclusion I follows.
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