Question

In a coding system, each letter in a word is replaced by the letter that is two positions ahead in the alphabet (e.g., A becomes C, B becomes D, ..., Z becomes B). If the word "CAT" is coded using this system, what will be the code for the word "DOG"?

• A. FQI
• B. GPH
• C. HPJ
• D. IQK

Hint:

Remember: In coding-decoding, identify the pattern (e.g., shifting letters by a fixed number) and apply it consistently to each letter. Use alphabet positions (A=1, Z=26) for clarity.

Answer 1

The Correct Option is A

Given:
The word = DOG,
Rule: Each letter is replaced by the letter two positions ahead in the alphabet.

Step 1: Understand the Coding Rule
The alphabet is A, B, C, ..., Z (positions 1 to 26). For each letter, the coded letter is the one two positions ahead:
- A (1) → C (3), B (2) → D (4), ..., Y (25) → A (1), Z (26) → B (2).
Thus, the position of the coded letter is the original position + 2, with wrapping around the alphabet (if the position exceeds 26, subtract 26).
Step 2: Code the Word "DOG"
Break down the word "DOG" into individual letters and apply the rule:
- D: Position 4 → (4 + 2 = 6) → Letter F
- O: Position 15 → (15 + 2 = 17) → Letter Q
- G: Position 7 → (7 + 2 = 9) → Letter I
So, "DOG" is coded as FQI.
Step 3: Verify with Example "CAT"
To ensure understanding, code the word "CAT" as given in the question:
- C: Position 3 → (3 + 2 = 5) → Letter E
- A: Position 1 → (1 + 2 = 3) → Letter C
- T: Position 20 → (20 + 2 = 22) → Letter V
Thus, "CAT" becomes ECV, confirming the rule is consistent. Now, check "DOG" again:
- FQI matches the calculation.

Answer: The correct answer is option (1): FQI.

Answer 2

To solve the problem, we need to apply the coding rule of replacing each letter with the letter two positions ahead in the alphabet, considering the wrap-around from Z to A.

1. Understanding the Concepts:

- Coding Rule: Each letter is replaced by the letter two positions ahead.
- Alphabet Wrap-Around: After Z, the sequence continues from A again.
- Example: A → C, B → D, ..., Y → A, Z → B

2. Given Values:

Word to be coded: "DOG"
Apply the rule to each letter.

3. Calculating the Code:

- D → F (D is the 4th letter, F is the 6th letter)
- O → Q (O is the 15th letter, Q is the 17th letter)
- G → I (G is the 7th letter, I is the 9th letter)

Final Answer:

The code for the word "DOG" is FQI.