Question:

Some dogs are rats. All cats are chairs. All rats are cats.
What can be concluded from the above given statements?
(A) All dogs are cats
(B) All cats are rats
(C) All chairs are dogs
(D) All rats are chairs
Choose the correct answer from the options given below:

Show Hint

Chain the two universal (All...are) statements first; that always gives a valid conclusion.
  • Only (A) and (B) follow.
  • Only (B) follows.
  • Only (A) and (D) follow.
  • Only (D) follows.
Show Solution
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The Correct Option is D

Solution and Explanation

Step 1: Chain the premises. All rats are cats, and all cats are chairs, so all rats are chairs. This is a valid chain (A-type + A-type gives A-type), so (D) follows.
Step 2: Some dogs are rats, and all rats are cats, so some dogs are cats, not all. So (A) fails.
Step 3: All cats are chairs does not reverse to all chairs are cats, so (B) and (C) fail.
Step 4: Only (D) follows, so the answer is option 4.
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