Question

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

Statements:
All keys are locks.
No lock is toy.
All bags are toys.

Conclusions
I. No bag is key.
II. Some bags are keys.
III. Some toys are keys.

• A. None follows
• B. Only I follows
• C. Only II follows
• D. Only III follows
• E. Only I and II follow

Answer 1

The correct option is B Only I follows

All keys are locks.
No lock is a toy.
$A+E\Rightarrow E$-type of conclusion
No key is a toy.
All bags are toys.
No toy is a lock.
$A+E\Rightarrow E$-type of conclusion
No bag is a lock.
All bags are toys.
No toy is key.
$A+E\Rightarrow E$ -type of conclusion
No bag is key.
This is conclusion I.