Question
Download Solution PDFIn this question, three 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 conclusion(s) logically follow(s) from he statements.
Statements:
Some erasers are rulers.
All rulers are copies.
All pens are erasers.
Conclusions:
I. All pens are rulers.
II. Some pens are copies.
III. Some erasers are copies.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFStatements:
Some erasers are rulers.
All rulers are copies.
All pens are erasers.
Venn diagram:
Conclusions:
I. All pens are rulers → Does not follow → We have 'all pens are erasers' and 'some erasers are rulers' but we do not have a direct relationship between pens and rulers thus the conclusion does not follow.
II. Some pens are copies → Does not follow → We do not have a direct relationship between pens and copies so we can not conclude any definite situation.
III. Some erasers are copies → Follow → From the statements 'some erasers are rulers' and 'all rulers are copies' so it is true that 'some erasers are copies' and the same can be seen in the Venn diagram, therefore, the conclusion follows.
So, only conclusion III follows.
Hence the correct answer is option 2).
Last updated on May 28, 2025
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