Question

In each question below are two/three statements followed by two conclusions numbered I and II. You have to take the two/three 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 given statements disregarding commonly known facts.

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

Conclusions
I. Some varnishes are paints.
II. No dye is colour.

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

Answer 1

The correct option is E Both conclusion I and conclusion II follow

Some paints are colours.
All colours are varnishes.
$I+A\Rightarrow I$ -type of conclusion
Some paints are varnish. (P)
All colours are varnish.
No varnish is a dye.
$A+E\to E$-type of conclusion
"No colour is a dye. (Q)
Some paints are varnish.
No varnish is a dye.
$I+E\Rightarrow O$-type of conclusion
Some paints are not dye. (R)
Conclusion I is the converse of conclusion (P).
Conclusion II is the converse of conclusion (Q).