Two statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
Some streams are rivers.
Some rivers are oceans.
Conclusions:
I. Some streams are oceans.
II. All rivers are oceans.
Correct Answer :
Neither conclusion I nor II follows
Solution :
To determine which of the conclusions logically follow, let's analyze the given statements step-by-step:
Step 1: Analyze the Statements
1. "Some streams are rivers": This implies there is an intersection (common area) between the set of streams and the set of rivers.
2. "Some rivers are oceans": This implies there is an intersection between the set of rivers and the set of oceans.
Step 2: Evaluate Conclusion I ("Some streams are oceans")
While streams overlap with rivers, and rivers overlap with oceans, there is no direct link established between streams and oceans. It is entirely possible that the set of streams and the set of oceans do not share any common elements. Since this conclusion is not guaranteed to be true in all possible cases, Conclusion I does not follow.
Step 3: Evaluate Conclusion II ("All rivers are oceans")
The statements only tell us that "Some rivers are oceans" (a partial overlap). We cannot deduce that the entire set of rivers is contained within oceans. Therefore, Conclusion II does not follow.
Conclusion:
Since neither Conclusion I nor Conclusion II logically follows from the given statements, the correct answer is Neither conclusion I nor II follows.
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