If in a certain code, CERTAIN is coded as XVIGZRM, SEQUENCE is coded as HVJFVMXV, then how would MUNDANE be coded?

Options

A. NFMWZMX
B. NFMWZMV
C. NFMXZMV
D. None of these

Explanation

To solve the coding problem, we need to analyze how the words "CERTAIN" and "SEQUENCE" were encoded. Let's break down the solution step by step.

### Step 1: Understand the Coding Pattern
We observe that each letter in the word is replaced by another letter based on its position in the alphabet. The position of each letter from the beginning of the alphabet is replaced by the letter at the same position from the end of the alphabet.

### Step 2: Analyze the Given Words
1. **CERTAIN** is coded as **XVIGZRM**:
- C (3) → X (24)
- E (5) → V (22)
- R (18) → I (9)
- T (20) → G (7)
- A (1) → Z (26)
- I (9) → R (18)
- N (14) → M (13)

2. **SEQUENCE** is coded as **HVJFVMXV**:
- S (19) → H (8)
- E (5) → V (22)
- Q (17) → J (10)
- U (21) → F (6)
- E (5) → V (22)
- N (14) → M (13)
- C (3) → X (24)
- E (5) → V (22)

### Step 3: Determine the Code for MUNDANE
Now, we will apply the same coding pattern to the word "MUNDANE".

1. **M** (13) → 26 - 13 + 1 = 14 → N
2. **U** (21) → 26 - 21 + 1 = 6 → F
3. **N** (14) → 26 - 14 + 1 = 13 → M
4. **D** (4) → 26 - 4 + 1 = 23 → W
5. **A** (1) → 26 - 1 + 1 = 26 → Z
6. **N** (14) → 26 - 14 + 1 = 13 → M
7. **E** (5) → 26 - 5 + 1 = 22 → V

### Step 4: Compile the Code
Putting it all together, the code for "MUNDANE" is:
- M → N
- U → F
- N → M
- D → W
- A → Z
- N → M
- E → V

Thus, "MUNDANE" is coded as **NFMWZMV**.

### Final Answer
The code for MUNDANE is **NFMWZMV**.

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