Directions (92-95) :  In each of the questions below some statements are given followed by two conclusions. 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.

Statements. I. Only Black is Red
II. Each Pink is Black
III. None Blue is Orange
IV. A few Pink are Blue
Conclusions. I. Some Blue is Black
II. No Orange is Red

The correct option is If both conclusions I and II follow.

Step-by-step Explanation:

1. Understanding the given statements:
• Statement I: "Only Black is Red"
This is an exclusive statement, which converts to "All Red is Black". Furthermore, since Red belongs only to Black, Red cannot have any overlap with any other entity (such as Pink, Blue, or Orange).
• Statement II: "Each Pink is Black"
"Each" means "All". So, this means "All Pink is Black".
• Statement III: "None Blue is Orange"
This means "No Blue is Orange" (there is zero overlap between Blue and Orange).
• Statement IV: "A few Pink are Blue"
"A few" means "Some". So, this means "Some Pink is Blue".

2. Evaluating Conclusion I: "Some Blue is Black"
• From Statement IV, we know that "Some Pink is Blue".
• From Statement II, we know that "All Pink is Black".
• Since the portion of Pink that is Blue must also reside inside Black, it definitely follows that Some Blue is Black.
• Therefore, Conclusion I is logically true and follows.

3. Evaluating Conclusion II: "No Orange is Red"
• From Statement I ("Only Black is Red"), Red can exclusively belong to Black and cannot overlap with any other element.
• Therefore, Red cannot overlap with Orange, which means No Orange is Red is definitely true.
• Hence, Conclusion II is logically true and follows.

Since both conclusions I and II logically follow from the given statements, the correct choice is If both conclusions I and II follow.