Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.

Statements:

Some violins are pianos.

All violins are flutes.

No violin is a guitar.

Conclusions:

I. No guitar is a piano.

II. Some flutes are pianos

III. All flutes are guitars.

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  1. Only conclusion I and III follow 
  2. Only conclusion I follows 
  3. Only conclusion II follows 
  4. Only conclusion I and II follow 

Answer (Detailed Solution Below)

Option 3 : Only conclusion II follows 
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Detailed Solution

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The pattern followed here is:

The least possible Venn diagram is shown below according to the given information.

Statements:

Some violins are pianos.

All violins are flutes.

No violin is a guitar.

Conclusions:

I. No guitar is a piano → Does not follow → As all violins are flutes and No violin is a guitar. So there is a possibility as some guitar is a piano. So no guitar is a piano is not followed.

II. Some flutes are pianos → Follow → As some violins are pianos and All violins are flutes. So some flutes are pianos is definitely followed.

III. All flutes are guitars → Does not follow → As some violins are pianos and all violins are flutes and no violin is a guitar. So all flutes are guitars is definitely not follow.

So, Only conclusion II follows.

Hence, the correct answer is "Option 3".

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