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:

Few mountains are rivers.

Most rivers are valleys.

All valleys are hills.

Conclusions:

(I) Few mountains are valleys.

(II) Some hills are mountains.

(III) Some rivers are hills. 

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

Answer (Detailed Solution Below)

Option 3 : Only conclusion III follows
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Detailed Solution

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Statements:

Few mountains are rivers.

Most rivers are valleys.

All valleys are hills.

The Venn diagram as per the given statements:

Conclusions:

(I) Few mountains are valleys. Not follow (There is no definite relation between mountains and valleys, so it can be possible but not definitely true)

(II) Some hills are mountains.  Not follow ( There is no definite relation between hills and mountains, so it can be possible but not definitely true)

(III) Some rivers are hills. Follow (Because most rivers are valleys and all valleys are hills, so some rivers are hills is definitely true)

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

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