Syllogism: Determine which conclusions must follow from the chain of containments. Statements: All the pencils are pens. All the pens are inks. Conclusions: I. All the pencils are inks. II. Some inks are pencils. Choose the correct option about which conclusion(s) follow.

Given data

• All pencils ⊆ pens; All pens ⊆ inks ⇒ All pencils ⊆ inks.
• Conclusions: (I) All pencils are inks; (II) Some inks are pencils.

Concept/Approach
Transitivity of containment validates I. Under standard MCQ convention assuming existence of pencils, at least one pencil exists, so that element is an ink; hence "Some inks are pencils" holds.

Step-by-step evaluation
I: Directly true by transitivity (pencils ⊆ inks). II: From existence of at least one pencil in the subset, "some" particular of inks is indeed a pencil.

Final Answer
Both Conclusions I and II follow