Statements:
Only screens are big
Some screens are television
Some television is not movie

Conclusions:
I. Some big being movie is possibility
II. All big being television is a possibility

In each question below some 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 with 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. Give answer-

Correct Answer: If neither conclusion I nor II follows

Step-by-step Explanation:

Let us analyze the given statements carefully using logic and set concepts.

1. Understanding the Statements:

• Statement 1: "Only screens are big"
In categorical logic, the statement "Only A are B" is logically equivalent to "All B are A". Furthermore, it implies an exclusive relationship: elements that are 'big' can only belong to 'screens' and cannot overlap with any other category except screens.
Therefore, "Only screens are big" means:
- All big are screens.
- No big can be anything other than screens (i.e., Big cannot overlap with Movie, Television, or any other set).

• Statement 2: "Some screens are television"
This means there is an intersection between the set of screens and the set of televisions.

• Statement 3: "Some television is not movie"
This means there is at least some part of the television set that remains outside the movie set.

2. Evaluating the Conclusions:

• Conclusion I: "Some big being movie is possibility"
From Statement 1, 'big' is exclusively restricted to 'screens' only. Since 'big' cannot be anything other than 'screens', it can never overlap with 'movie'. Thus, it is impossible for any 'big' to be 'movie'.
Therefore, Conclusion I does not follow.

• Conclusion II: "All big being television is a possibility"
Again, because of the exclusive restriction of Statement 1 ("Only screens are big"), 'big' can belong only to 'screens' and cannot be shared with 'television'. Consequently, 'big' can never be 'television'.
Therefore, Conclusion II does not follow.

Conclusion:

Since neither Conclusion I nor Conclusion II logically follows from the given statements, the correct choice is If neither conclusion I nor II follows.