Question

Identify the set of three statements that are logically related.
A. All bins are buckets.
B. No bucket is a basket.
C. No bin is a basket.
D. Some baskets are buckets.
E. Some bins are baskets.
F. No basket is a bin.

• A. BDE
• B. ACB
• C. CDF
• D. ABF

Hint:

Universal premises often combine to produce a universal conclusion — look for these “All” and “No” statement patterns in logical grouping questions.

Answer 1

The Correct Option is D

A — "All bins are buckets." — This is a universal affirmative linking bins and buckets.
B — "No bucket is a basket." — This is a universal negative, making buckets and baskets mutually exclusive.
F — "No basket is a bin." — This follows from A and B: if all bins are buckets and no bucket is a basket, then no basket can be a bin.
Thus, A, B, and F form a consistent logical set where F is a valid conclusion from A and B.