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:

All chains are circle.

No chain is square.

Conclusions:

I. Some circles are square.

II. Some circles are chains.

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SSC MTS (2022) Official Paper (Held On: 20 Jun, 2023 Shift 3)
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  1. Neither conclusion I nor II follows
  2. Only conclusion I follows
  3. Both conclusions I and II follow
  4. Only conclusion II follows

Answer (Detailed Solution Below)

Option 4 : Only conclusion II follows
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SSC MTS 2024 Official Paper (Held On: 01 Oct, 2024 Shift 1)
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Detailed Solution

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The least possible Venn diagram for the given statements is as shown below :

WhatsApp Image 2023-08-08 at 10.41.16 PM

Conclusions:

I. Some circles are square → False (As All chains are circle and No chain is square so, Some circles are square is false)

II. Some circles are chains → True (As All chains are circle so, Some circles are chains is true)

∴ Here, Only conclusion II is true.

Hence, the correct answer is "Only conclusion II follows".

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