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Conversion of Word Statement to Mathematical Statement

Two possible ...

Question

Two possible conclusions have been given after two statements. You have to identify the correct answer out of the four possible options. Consider the statements as true even though they may be at variance from commonly known facts.

Statements
All fans are vans.
No van is a pan.

Conclusions
I. No pan is a fan.
II. No fan is a pan.

A

Only conclusion I is correct

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B

Only conclusion Il is correct

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C

Both conclusions I and II are correct

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D

Neither conclusion I nor conclusion Il is correct

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E

Conclusion I follows while conclusion II may follow

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Solution

The correct option is C Both conclusions I and II are correct

All fans are vans. [E]
No van is a pan. [E]
$A + E \Rightarrow E$ -type of conclusion
No fan is a pan.
This is conclusion II.
Conclusion I is the converse of it.

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