Question

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

Statements
Some paints are brushes.
All brushes are varnishes.
All colours are varnishes.
No varnish is a canvas.

Conclusions
I. No canvas is a brush.
II. Some paints are varnishes.

• A. Only conclusion I follows
• B. Only conclusion II follows
• C. Either conclusion I or II follows
• D. Neither conclusion I nor II follows
• E. Both conclusions I and II follow

Answer 1

The correct option is E Both conclusions I and II follow

Some paints are brushes.
All brushes are varnishes.
$I+A\Rightarrow I$-type of conclusion
Some paints are varnishes. (A)
All brushes are varnishes.
No varnish is a canvas.
$A+E\Rightarrow E$-type of conclusion
No brush is a canvas.(B)
All colours are varnishes.
No varnish is a canvas.
$A+E\Rightarrow E$-type of conclusion
No colour is a canvas.(C)
Conclusion I is the converse of conclusion (B).
Conclusion II is conclusion (A).