Two Statements are given followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.

Statements:

Some pupils are cutes.

All boys are cutes.

Conclusions:

I. All cutes are boys.

II. Some pupils are boys. 

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SSC MTS (2022) Official Paper (Held On: 09 May 2023 Shift 2)
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  1. Only conclusion I follows. 
  2. Neither conclusion I nor II follow. 
  3. Both conclusions I and II follow. 
  4. Only conclusion II follows. 

Answer (Detailed Solution Below)

Option 2 : Neither conclusion I nor II follow. 
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SSC MTS 2024 Official Paper (Held On: 01 Oct, 2024 Shift 1)
90 Qs. 150 Marks 90 Mins

Detailed Solution

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Given Statements:

Some pupils are cutes.

All boys are cutes.

The least possible Venn diagram for the given statement is:

Conclusions:

I. All cutes are boys - False (Because, All boys are cutes gives some cutes are definitely boys, but All cutes are boys can be possible only).

II. Some pupils are boys - False (Because, No definite relation given between pupils and boys, so it can be possible only).

So, Neither conclusion I nor II follow. 

Hence, the correct answer is "Option 2".

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