Three statements are followed by three conclusions numbered I, II and III. You have to consider these statements to be true, even if they seem to be at variance with commonly known facts. Decide which of the given conclusions logically follow(s) from the given statements.

Statements:

All tools are spanners.

Some spanners are utensils.

No spanner is an iron.

Conclusions:

(I) Some tools are irons.

(II) Some utensils are tools.

(III) Some utensils are not iron.

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  1. Only conclusion III follows
  2. All conclusions I, II and III follow
  3. Only conclusion I follows
  4. Either conclusion I or conclusion III follows

Answer (Detailed Solution Below)

Option 1 : Only conclusion III follows
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Detailed Solution

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

F1 Savita SSC 16-2-24 D33

Conclusions:

(I) Some tools are irons → False (As All tools are spanners and No spanner is an iron so, Some tools are irons is false)

(II) Some utensils are tools → False (As All tools are spanners and Some spanners are utensils so, Some utensils are tools is false)

(III) Some utensils are not iron → True (As All tools are spanners and Some spanners are utensils and No spanner is an iron so, Some utensils are not iron is true)

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

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