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

Statements:

Some cats are dogs.

All dogs are rats.

Conclusions:

i). Some rats are cats.

ii). All rats are cats.

Choose the most appropriate one from the following options:

A. Only conclusion i follows.

B. Only conclusion ii follows.

C. Either conclusion i or ii follows.

D. Neither conclusion i nor ii follows.

E. Both conclusions i and ii follow.

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  1. E
  2. B
  3. C
  4. A

Answer (Detailed Solution Below)

Option 4 : A
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Detailed Solution

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The least possible venn diagram is shown below,

F1 Railways  Priya  27 9 24 D32

Conclusions:

i). Some rats are cats → True (Some cats are dogs and all dogs are rats implies that some of those rats which are dogs are also cats).

ii). All rats are cats False (Some cats are dogs and all dogs are rats implies that all rats can be cats. This is possible but not definite).

Hence, the correct answer is "A".

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