Question

If he decides to celebrate by making the sequence around the room spell \textit{MOTHER, starting at the leftmost on the east wall and then going around the room, which of the following will be false?}

• A. O is opposite to E
• B. H is next to E
• C. T is next to O
• D. T is opposite to R

Hint:

For opposite walls, the facing pairs are \((E_1,W_1), (E_2,W_2), (E_3,W_3)\). Use this fixed pairing to verify "opposite" claims quickly.

Answer 1

The Correct Option is D

Step 1: Map "going around the room".
Order of slots around the room: \(E_1,E_2,E_3,W_3,W_2,W_1\). Placing \(\text{MOTHER}\) gives: \(E_1=M,\ E_2=O,\ E_3=T,\ W_3=H,\ W_2=E,\ W_1=R\). Step 2: Read opposites and adjacencies.
Opposites: \(E_1\leftrightarrow W_1: M\leftrightarrow R\), \(E_2\leftrightarrow W_2: O\leftrightarrow E\), \(E_3\leftrightarrow W_3: T\leftrightarrow H\).
Adjacencies (same wall): \(M\)–\(O\), \(O\)–\(T\) on east; \(R\)–\(E\), \(E\)–\(H\) on west. Step 3: Test the options.
(a) \(O\) opposite \(E\): \textit{True}. \quad (b) \(H\) next to \(E\): \textit{True}. \quad (c) \(T\) next to \(O\): \textit{True}.
(d) \(T\) opposite \(R\): \textit{False} (since \(T\) is opposite \(H\)). \[ \boxed{\text{(d)}} \]