Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
Some canals are rivers.
Some rivers are oceans.
Some oceans are ponds.
Conclusions:
(I) All ponds are rivers.
(II) All oceans are canals.
Correct Answer :
Neither conclusion (I) nor (II) follows
Solution :
The correct option is Neither conclusion (I) nor (II) follows.
Let us analyze the given statements step-by-step using logical deductions:
Statements given:
1. Some canals are rivers.
2. Some rivers are oceans.
3. Some oceans are ponds.
Analysis of Conclusion (I): "All ponds are rivers"
From the given statements, we know that "Some rivers are oceans" and "Some oceans are ponds". There is no direct relationship or universal rule ("All") specified connecting ponds and rivers. Therefore, Conclusion (I) does not logically follow.
Analysis of Conclusion (II): "All oceans are canals"
From statement 1, "Some canals are rivers", and statement 2, "Some rivers are oceans", there is no definite link establishing that all oceans are canals. The statements only mention partial intersections ("some"), and we cannot deduce a universal affirmative claim ("All") between oceans and canals. Therefore, Conclusion (II) does not logically follow.
Hence, neither conclusion (I) nor conclusion (II) logically follows from the given statements.
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