Question

In each of the questions below, three statements are given, followed by two conclusions. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read the conclusions 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. No paint is a dye.
II. All paints being varnish is a possibility.

• 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 B Only conclusion II follows

Some paints are colours.
All colours are varnishes.
$I+A\Rightarrow I$ -type of conclusion
Some paints are varnishes. (P)
All colours are varnishes.
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)
Some paint is varnish.
Therefore, conclusion II is possible.