Question

Statements: All erasers are pens.
All pens are boxes.
No eraser is a pencil.
Conclusions: I. No box is a pencil.
II. Some pens being pencils is a possibility.

• A. if only conclusion I follows.
• B. if only conclusion II follows.
• C. if either conclusion I or conclusion II follows.
• D. if neither conclusion I nor conclusion II follows.
• E. if both conclusion I and conclusion II follow.

Answer 1

Answer: (B)

if only conclusion II follows.

There are two cases possible.

No box is pencil

This is possible in some of the cases but not all.

some pens are pencil

This is possible.

Thus only conclusion II is correct.

Hence, Option B is correct.