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
No bank is a school.
Some schools are colleges.
Conclusions

I. Some colleges are definitely not schools.
II. All banks being colleges is a possibility.

• 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

No bank is a school.
Some schools are colleges.
$E+I\Rightarrow O_1$-type of conclusion
Some colleges are not banks.

It implies that some of the 'colleges' are outside the limit of 'banks'.
It may also be represented as:

It implies that all the 'banks' are some 'colleges'.
The derived conclusion may also be represented as:

All the 'colleges' are outside the limit of "banks'.
Therefore, some colleges are definitely not schools.
Again, all banks being colleges is a possibility.
Thus both the conclusions follow.