Question

In a certain code, 'ROAD' is written as 'WTFI'; how is 'BEAT' written in that code?

• A. GJFW
• B. GJGX
• C. GJFX
• D. GJEV

Hint:

Common coding–decoding techniques include:

• Alphabet shifting (e.g., +2, +3, +5 positions)
• Reversing letters
• Alternating shifts

In this problem: \[ \textbf{Each letter shifts forward by 5 positions} \] Example: \[ A \rightarrow F,\quad B \rightarrow G,\quad C \rightarrow H \] So: \[ \text{BEAT} \rightarrow \text{GJFX} \]

Answer 1

The Correct Option is C

Concept:
Coding–decoding problems often involve shifting letters in the alphabet by a certain number of positions. To identify the pattern, we compare each letter of the original word with its corresponding coded letter and observe the alphabetical shifts.
Step 1: Write the given coding.
\[ \text{ROAD} \rightarrow \text{WTFI} \] Now compare the alphabetical positions. \[ R \rightarrow W \] \[ O \rightarrow T \] \[ A \rightarrow F \] \[ D \rightarrow I \]
Step 2: Determine the letter shifts.
\[ R(18) \rightarrow W(23) = +5 \] \[ O(15) \rightarrow T(20) = +5 \] \[ A(1) \rightarrow F(6) = +5 \] \[ D(4) \rightarrow I(9) = +5 \] Thus, each letter is shifted forward by 5 positions in the alphabet.
Step 3: Apply the same rule to the word BEAT.
\[ B \rightarrow G \] \[ E \rightarrow J \] \[ A \rightarrow F \] \[ T \rightarrow X \]
Step 4: Form the coded word.
\[ \text{BEAT} \rightarrow \text{GJFX} \]
Step 5: Select the correct option.
\[ \boxed{\text{GJFX}} \]