The statements below are followed by two conclusions labeled I and II. Assuming that the information in the statements is true, even if it appears to be at variance with generally established facts, decide which conclusion(s) logically and definitely follow(s) from the information given in the statements. Statements: All pens are blue. Some blue is water. Conclusion I: No pen is water. Conclusion II: Some pens are water.
The statements below are followed by two conclusions labeled I and II. Assuming that the information in the statements is true, even if it appears to be at variance with generally established facts, decide which conclusion(s) logically and definitely follow(s) from the information given in the statements. Statements: All pens are blue. Some blue is water. Conclusion I: No pen is water. Conclusion II: Some pens are water. Correct Answer Either conclusion I or conclusion II follows.
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Conclusions:
I. No pen is water.→ False (It can be possible but not definite)
II. Some pens are water.→ False (It can be possible but not definite)
Both conclusions are complementary to each other.
Hence, either conclusion I or conclusion II follows
Conditions of Either-or case:
1. The elements should be the same in both the statements.
2. Both the conclusions should be false individually.
3. One conclusion should be positive and one conclusion should be negative (Complementary pair)
The two complementary pairs are:
1) All + Some not
2) No + Some
Note: Some + Some not is not considered under Either -or case.