Question

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

Statements:-
No fruit is a vegetable.
All potatoes are vegetables.
Some fruits are apples.

Conclusions:-
I. Some apples are potatoes.
II. Some potatoes being fruits is a possibility.

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

Answer 1

The correct option is E Neither conclusion I nor conclusion II follows

Some fruits are apples $\to$ conversion $\to$ some apples are fruits + No fruit is vegetable + Some vegetables are potatoes (converse of All potatoes are vegetables) = I + E + I = O + I = No Conclusion. Therefore conclusion I does not follow. Again. All potatoes are vegetables + No vegetables is fruit (converse of 'No fruit is fruit is vegetable) = A + E = E = No potato is fruit. From E-type statements, cases of possibility do not exist. Therefore, conclusion II does not follow.

So, neither conclusion I nor conclusion II follows.