Question

In each of the questions below are given three statements followed by three conclusions numbered I, II and III.

You have to take the given statements to be true even if they seem to be at variance from 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
Some books are trees.
All trees are roads
All roads are wheels.

Conclusions
I. Some wheels are books.
II. Some roads are books.
III. Some wheels are trees

• A. Only I and II follows
• B. Only II and III follows
• C. Only I and III follows
• D. All I, II, III follows
• E. None of the above.

Answer 1

The correct option is D All I, II, III follows

Mediate term of the following statements are
All trees are roads (A-type)
All roads are wheels (A-type)
$A+A\to A-type$
All trees are wheels ........(i)
Some wheels are trees
(Conclusion III follows)
and
Some books are trees (I-type)
All trees are roads. (A-type)
$I+A\to Itype$
Some books are roads
Conversion
Some roads are books
(Conclusion II follows)
and
Some books are trees (I-type)
All trees are wheels (A-type) From Eq. (i)
$I+A\to A-type$
Some books are wheels
Conversion Some wheels are books
(Conclusion I follows)

All I, II and III follow.