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 : 1. Some cats are goats. 2. Some goats are dogs Conclusions : I. All dogs are goats. II. Some dogs are cats. III. No dog is cat.
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 : 1. Some cats are goats. 2. Some goats are dogs Conclusions : I. All dogs are goats. II. Some dogs are cats. III. No dog is cat. Correct Answer Either conclusions II or III follows.
The least possible Venn diagram is :
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Explanation:
I. All dogs are goats → False (it is possible but not definite)
II. Some dogs are cats.→ False (it is possible but not definite)
III. No dog is cat → False (it is possible but not definite)
Conclusions II and III form a complementary pair.
Hence, either conclusions II or III follows.