Question
Download Solution PDFThree statements are given followed by three conclusions numbered I, II and III. 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 hills are mountains.
Some hills are valleys.
All valleys are rivers.
Conclusions:
I. Some rivers are valleys.
II. Some mountains are valleys.
III. Some hills are rivers.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFStatements:
Some hills are mountains.
Some hills are valleys.
All valleys are rivers.
The Venn diagram as per the given statements:
Conclusions:
I. Some rivers are valleys. → True (All valleys are rivers, which means some rivers are valleys is definitely true)
II. Some mountains are valleys. → not follow (Because there is no definite relation given between mountains and valleys, so it can be possible only but not definitely true)
III. Some hills are rivers. → True (All valleys are rivers, and some hills are valleys, which means some hills are rivers is definitely true)
Hence, the correct answer is "Only conclusions I and III follow".
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