Question

In each of the questions below are given three statements followed by four conclusions numbered I, II, III and IV. You have to take the given statements to be true even if they seem to be at variance with commonly known facts.
Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements
All pens are houses.
Some desks are houses.
All pencils are desks.

Conclusions
I. Some pencils are houses.
II. Some desks are pencils.
III. Some pencils are pens.
IV. No desk is a pencil.

• A. All follow
• B. Only either II or IV follows
• C. Only either II or III follows
• D. None of these

Answer 1

The correct option is B Only either II or IV follows

All pens are houses.
Some houses are desks.
$A+I\Rightarrow$No conclusion
All pencils are desks.
Some desks are houses.
$A+I\Rightarrow$ No conclusion
Conclusions II and IV form a complementary pair. Therefore, either conclusion II or IV follows.