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Quantitative Aptitude

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In each quest...

Question

In each question below are three statements followed by two conclusions numbered I and II. You have to take the three given statements to be true even if they seem to be at variance from commonly know facts and then decide which of the given conclusions logically follows from the three statements disregarding commonly known facts.

Statements
All boxes are tables.
All windows are tables.
All tables are fans.

Conclusions
I. All windows are fans
II. Some tables are boxes.

A

Only conclusion I is true

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B

Only conclusion II is true

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C

Either conclusion I or conclusion II is true

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D

Neither conclusion I nor conclusion II is true

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E

Both conclusions I and II are true

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Solution

The correct option is E Both conclusions I and II are true
All boxes are tables.
All tables are fans.
$A + A \Rightarrow A$ -type of conclusion
All boxes are fans.
All windows are tables.
All tables are fans.
$A + A \Rightarrow A$ - type of conclusion
All windows are fans.
This is conclusion I.
Conclusion II is the converse of the first premise.

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