In each of the questions below, some statements are given followed by some conclusions. You have to take the given statements to be true even if they seem to be at 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 Gate are Park
Only a few Park are Road
All Road are Subway
Conclusions: I. No Gate is Subway
II. Some Park are not Road

The correct option is If only II follow.

Step-by-Step Explanation:

1. Analyze the Statements:

• Statement 1: "All Gate are Park"
This means that the entire set of Gates is completely inside the set of Parks.

• Statement 2: "Only a few Park are Road"
The phrase "Only a few A are B" implies two things simultaneously:
1. Some Park are Road (positive intersection).
2. Some Park are not Road (negative part—some portion of Parks is strictly outside Roads).

• Statement 3: "All Road are Subway"
This means that the entire set of Roads is completely inside the set of Subways.

2. Evaluate Conclusion I:

• Conclusion I: "No Gate is Subway"

From the given statements, all Gates are within Parks, and all Roads are within Subways. There is no negative relation specified between Gate and Subway. It is possible for Gates to overlap with Subways (or even be completely inside Subways). Therefore, "No Gate is Subway" is a definite negative claim that cannot be proven true from the given information. Hence, Conclusion I does not follow.

3. Evaluate Conclusion II:

• Conclusion II: "Some Park are not Road"

As per the standard rule of syllogism, "Only a few A are B" directly means "Some A are B" AND "Some A are not B". Since Statement 2 explicitly says "Only a few Park are Road", it directly and logically implies that "Some Park are not Road". Hence, Conclusion II definitely follows.

Conclusion:

Only Conclusion II logically follows from the given statements.