Question

Which statement among (I)–(VI) adds \emph{no new information beyond the rest?}

• A. II
• B. III
• C. V
• D. VI

Hint:

To test redundancy, try rebuilding the configuration while omitting one statement. If the omitted fact becomes inevitable anyway, it was superfluous.

Answer 1

The Correct Option is B

Step 1: Reconstruct without using (III).
From (II) & (VI): bottom \(=\) Red, top \(=\) Black. From (IV) and (V): Blue must sit between White and Brown on the side ring \(\Rightarrow\) the 4 side faces are \(\{ \text{White},\ \text{Blue},\ \text{Brown},\ \text{Green} \}\); the only remaining colour is Green, which therefore is also a side face. Step 2: Compare with (III).
(III) says "Green is between Red and Black'' — i.e., a side face touching both top and bottom. But we already deduced that Green is on the side ring from (II), (IV), (V), (VI) alone. Step 3: Conclude.
Thus \(\boxed{\text{(III) is redundant}}\); it adds nothing beyond the other statements.