Question
Logical Reasoning Question on Statements and Conclusions
Statements:
A. All rackets are jackets.
B. No cow is cat.
C. Only cats are dogs.
Conclusions:II. Some cats are jackets.
III. Some rackets are cats.
IV. No dog is a cow.
This questions a few statements are followed by four conclusions numbered I, II, III and IV. Consider the given statements tobe true even if they seem to be at variance with commonly known facts. Read all the conclusion(s) and then decide which of the given conclusion(s) logically follow(s) from the given statements.
Only II and IV follow
Only either I or III and IV follow
Only III and IV follow
Only I and IV follow
Only I and IV follow
Solution
The correct option is (D): Only I and IV follow
Reason: Conclusion I ("Some rackets are not cats") follows because all rackets are jackets, and there is no relation between jackets and cats. Conclusion IV ("No dog is a cow") follows because only cats are dogs, and no cow is a cat, ensuring no overlap. Conclusions II and III do not logically follow from the statements.