Question

In each question/group of questions 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
All fruits are vegetables.
All vegetables are plants.
No plant is a root.

Conclusions
I. All fruits are plants.
II. No root is a vegetable.

• 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

All fruits are vegetables.
All vegetables are plants.
$A+A\Rightarrow A$-type of conclusion
All fruits are plants. (P)
All vegetables are plants.
No plant is a root.
$A+E\Rightarrow E$-type of conclusion
No vegetable is root. (Q)
All fruits are plants.
All fruits are plants.
No plant is a root.
$A+E\Rightarrow E$-type of conclusion
No fruit is a root. (R)
Conclusion I is conclusion P.
Conclusion II is the converse of conclusion Q.