Directions: In each question below are given some 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 at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows/follow from the given statements, disregarding commonly known facts.
1
Statements : No water is air.
                       No fire is water.

Conclusions : I.    No air is fire.
                        II.   All fire is air.
» Explain it
D
E + E = No conclusion through deduction method.

Thus, neither conclusion I nor conclusion II follows.

Hence, option D is correct.
2
Statements :      Some balls are bats.
                            No bat is a wicket.

Conclusions :      I. Some wickets are not ball.
                            II. All wickets being ball is a possibility.
» Explain it
B
Some balls are bats (I) + No bat is a wicket (E) = I + E = O = Some balls are not wickets.

Hence, conclusion I does not follow. But the possibility in II exists. Thus, conclusion II follows.

Hence, option B is correct.
3
Statements: 
All shirts are skirts.
No skirt is top.
All tops are kurta.

Conclusions: 
I. All shirts are kurta
II. Some kurta are skirts

» Explain it
C
Statements: 
All shirts are skirts.
No skirt is top.
All tops are kurta.

Conclusions: 
I. All shirts are kurta
II. Some kurta are skirts

Checking Conclusion I: All shirts are kurta

All shirts are skirts + No skirts is top = No shirt is top 

No shirt is top + All tops are Kurta = Some kurtas are not shirt. Clearly, C1 doesn't follow.

Checking Conclusion II: Some kurta are skirts
 
No skirt is top + All tops are kurta = Some kurtas not skirts. Clearly, C2 doesn't follow.

Option C is hence the correct answer. 
 

4
Statements: 
Some frooti are Maaza.
No Maaza is slice.
All slice are fanta.

Conclusions: 
I. Some frooti are definitely not slice.
II. Some fanta are definitely not Maaza.
» Explain it
D
Statements: 
Some frooti are Maaza.
No Maaza is slice.
All slice are fanta.

Conclusions: 
I. Some frooti are definitely not slice.
II. Some fanta are definitely not Maaza.

Checking Conclusion I: Some frooti are definitely not slice.

Some frooti are Maaza + No Maaza is slice = Some frooti are not slice. Clearly, C1 follows.

Checking Conclusion II:

No Maaza is slice + All slice are fanta = E + A = O = Some Fanta are not Maaza. Clearly, C2 follows as well.

Option D is hence the correct answer.
 
5
Statements: 
All carbon are oxygen.
All Nitrogen are carbon.
Some oxygen are Sulphur.

Conclusions: 
I. All Nitrogen being Sulphur is a possibility.
II. All Nitrogen are not oxygen.
» Explain it
A
Statements: 
All carbon are oxygen.
All Nitrogen are carbon.
Some oxygen are Sulphur.

Conclusions: 
I. All Nitrogen being Sulphur is a possibility.
II. All Nitrogen are not oxygen.

Checking Conclusion I: All Nitrogen being Sulphur is a possibility.

As there is no negative statement, possibilities do follow between classes. C1, hence, follows here.

Checking Conclusion II: All Nitrogen are not oxygen.

As there is no negative statement, a definitely negative conclusion cannot follow. C2, hence, doesn't follow.

Option A is hence the correct answer.