Understanding Letter Coding Patterns

This question asks us to decipher a specific coding pattern used to transform the word 'WARDROBE' into 'YXVYXHJV' and then apply that same pattern to find the code for 'ACCURATE'. These types of problems are common in logical reasoning and coding-decoding sections of various exams.

Analyzing the Code for WARDROBE

Let's look at the position of each letter in the English alphabet (A=1, B=2, ..., Z=26) and compare the original word with its coded form.

Observing the 'Difference/Pattern' column, we can see a sequence of operations: $+2, -3, +4, -5, +6, -7, +8, -9$. The pattern involves adding and subtracting consecutive numbers starting from 2, alternating between addition and subtraction.

Applying the Pattern to ACCURATE

Now we will apply the identified pattern ($+2, -3, +4, -5, +6, -7, +8, -9$) to the letters of the word 'ACCURATE'.

1. First letter 'A' (Position 1): Apply $+2$. $1 + 2 = 3$. The 3rd letter is C.
2. Second letter 'C' (Position 3): Apply $-3$. $3 - 3 = 0$. Wrapping around from A (1), $0$ is Z (26). The letter is Z.
3. Third letter 'C' (Position 3): Apply $+4$. $3 + 4 = 7$. The 7th letter is G.
4. Fourth letter 'U' (Position 21): Apply $-5$. $21 - 5 = 16$. The 16th letter is P.
5. Fifth letter 'R' (Position 18): Apply $+6$. $18 + 6 = 24$. The 24th letter is X.
6. Sixth letter 'A' (Position 1): Apply $-7$. $1 - 7$. Wrapping around from A (1), we go 1 step back to Z (26), 2 steps back to Y (25), ..., 7 steps back. $1 - 7 = -6$. $-6 + 26 = 20$. The 20th letter is T.
7. Seventh letter 'T' (Position 20): Apply $+8$. $20 + 8 = 28$. Wrapping around, $28 - 26 = 2$. The 2nd letter is B.
8. Eighth letter 'E' (Position 5): Apply $-9$. $5 - 9 = -4$. Wrapping around, $-4 + 26 = 22$. The 22nd letter is V.

Combining the coded letters, we get CZGPXTBV.

Comparing with Options

Let's check the given options to see which one matches our result:

• CZHPYTBV
• BZHPXTBV
• CZGPXTBV
• DZGPXTBV

The code we derived, CZGPXTBV, matches the third option.

Revision Table: Key Learnings

Additional Information: Types of Letter Coding

Letter coding problems can involve various types of patterns. Here are a few common ones:

• Shift in position: Each letter is shifted by a fixed number of positions forward or backward. (e.g., A becomes D, B becomes E, etc. - a +3 shift).
• Mixed shift: The shift value changes for each letter or follows a specific sequence, as seen in this problem (+2, -3, +4...).
• Reversal of letters: The letters in the word are reversed or grouped and reversed.
• Substitution: One letter is directly replaced by another specific letter or symbol, not necessarily based on position shift.
• Opposite letters: A letter is replaced by its opposite letter in the alphabet (e.g., A <-> Z, B <-> Y, C <-> X, etc.).
• Position-based patterns: The coding depends on the position of the letter within the word (e.g., 1st letter +2, 2nd letter -2, 3rd letter +2, etc.).

Solving these problems requires careful observation, finding the rule, and applying it consistently.