In the following question below are given some statements followed by some conclusions based on those statements. Taking the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusion logically follows the given statements.

Statements:

I. Some R are C.

II. All R are K.

Conclusion:

I. All K are R.

II. All C are R.

III. All C are K.

This question was previously asked in
SSC CHSL Tier-I Exam 2022 Official Paper (Held On: 14 March, 2023 Shift 3)
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  1. Both conclusions II and III follows
  2. Both conclusions I and III follows
  3. Neither conclusion follows
  4. All conclusion follows

Answer (Detailed Solution Below)

Option 3 : Neither conclusion follows
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Detailed Solution

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Given Statements:

I. Some R are C.

II. All R are K.

The least possible Venn diagram for the given statement is:

F3 Savita SSC 31-5-23 Prashant D29

Conclusions:

I. All K are R - False (Because, All R are K, means some K are R and All K are R is possible only).

II. All C are R - False (Because, Some R are C given and All C are R is possible only).

III. All C are K - False (Because, Some R are C and All R are K gives Some C are K, and All C are K are possible only).

So, Neither conclusion follows.

Hence, the correct answer is "Option 3".

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