In this question two statements are given followed by three conclusions. You have to assume that everything given in the statements is true, then consider the conclusions together and decide which of them logically follows from the information given in the statements beyond any doubt.

Statements : All cats are dogs. All animals are dogs.

Conclusions :

i. Some dogs are cats

ii. Some cats are animals

iii. No cat is animal

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  1. Only i and ii or iii
  2. only i
  3. Only i and ii
  4. only ii and iii

Answer (Detailed Solution Below)

Option 2 : only i
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Detailed Solution

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The least possible venn diagram is shown below,

F1 State G Priya 01 10 24 D11

Conclusions:

i. Some dogs are cats → True (All cats are dogs implies that some dogs are cats).

ii. Some cats are animals False (All cats are dogs, and all animals are dogs implies that it is possible that some cats can be animals but not definite).

iii. No cat is animal False (All cats are dogs, and all animals are dogs implies that it is possible that no cat is animal but not definite).

Here, we can see that conclusion (ii) and (iii) are complementary to each other.

Hence, the correct answer is "Option 1".

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