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

Step 1: Understanding the Question:
This is a coding-decoding problem. We need to decipher the pattern used to code 'ROAD' as 'WTFI' and then apply the same pattern to the word 'BEAT'.
Step 2: Key Formula or Approach:
The standard approach is to compare the positions of the letters in the original word and the coded word in the English alphabet. Let's assign numerical values to each letter (A=1, B=2, ..., Z=26).
Step 3: Detailed Explanation:
Let's analyze the code for 'ROAD' \(\rightarrow\) 'WTFI'.
1. R is the 18th letter. W is the 23rd letter. The difference is \(23 - 18 = +5\).
2. O is the 15th letter. T is the 20th letter. The difference is \(20 - 15 = +5\).
3. A is the 1st letter. F is the 6th letter. The difference is \(6 - 1 = +5\).
4. D is the 4th letter. I is the 9th letter. The difference is \(9 - 4 = +5\).
The pattern is consistent: each letter is shifted forward by 5 positions in the alphabet. The rule is (Letter + 5).
Now, let's apply this rule to the word 'BEAT'.
1. B (2nd letter) + 5 \(\rightarrow\) 7th letter, which is G.
2. E (5th letter) + 5 \(\rightarrow\) 10th letter, which is J.
3. A (1st letter) + 5 \(\rightarrow\) 6th letter, which is F.
4. T (20th letter) + 5 \(\rightarrow\) 25th letter, which is Y.
So, the logical code for 'BEAT' should be 'GJFY'.
However, 'GJFY' is not among the options. This suggests a possible error in the question or the options. In such a scenario, we must re-examine the problem or choose the closest possible option. Let's analyze the options:
(A) GJFW - The last letter 'W' corresponds to a +3 shift for 'T'.
(B) GJGX - Incorrect from the third letter.
(C) GJFX - The last letter 'X' corresponds to a +4 shift for 'T'.
(D) GJEV - Incorrect from the third letter.
Comparing our logical answer 'GJFY' with the options, 'GJFX' (Option C) is the closest, differing by only one letter position for the last letter ('X' instead of 'Y'). It is highly probable that there is a typo in the option and 'X' should have been 'Y'. Sometimes, a different, more complex pattern is intended for the last letter, such as (Letter + 4). If we assume the pattern is (+5, +5, +5, +4), then the answer would be GJFX. Given the choices, this is the most plausible answer.
Step 4: Final Answer:
Assuming a minor variation or a typo in the pattern for the last letter, the closest and most likely intended answer is GJFX.