Question

In each of the questions below are given four 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
All flowers are trees.
Some trees are houses.
All houses are wheels.

Conclusions
I. Some wheels are trees.
II. Some trees are flowers.
III. Some wheels are flowers.

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

Answer 1

The correct option is A Both I and II follow

Here we derive all the possible inferences and conversion of the given statement
1. All flowers are trees (A-type)
Inference some flowers are trees
Conversion some trees are flowers
Conclusion II follows.
2. Some trees are houses (I-type)
Inference Not possible
Conversion some houses are trees
3. All houses are wheels (A-type)
Inference some houses are wheels
Conversion some wheels are houses
In statement (2) and (3) we find the mediate inference
some trees are houses (I-type)
All houses are wheels (A-type)
$I+A\to Itype$
Some trees are wheels
Conversion some wheels are trees
Hence conclusion I is true.
Conclusion III does not match with any
inference conversion and mediate term
Hence It does not follow.