Let's break down the coding pattern used in this language question. We are given two examples: EARLY coded as HDUOB, and GAMES coded as JDPHV. We need to find the coding for INDEX using the same rule.

Identifying the Coding Pattern

We will analyze the position of each letter in the alphabet and compare the original word's letters with the coded word's letters.

Analyzing EARLY to HDUOB

• E is the 5th letter. H is the 8th letter. Difference: $8 - 5 = 3$.
• A is the 1st letter. D is the 4th letter. Difference: $4 - 1 = 3$.
• R is the 18th letter. U is the 21st letter. Difference: $21 - 18 = 3$.
• L is the 12th letter. O is the 15th letter. Difference: $15 - 12 = 3$.
• Y is the 25th letter. B is the 2nd letter (after Z). Difference: $25 \xrightarrow{+3} 28$. Since there are 26 letters, 28 is equivalent to $28 - 26 = 2$, which is B. So, difference is $+3$ (wrapping around the alphabet).

It appears that each letter in EARLY is shifted forward by 3 positions in the alphabet to get the corresponding letter in HDUOB.

Analyzing GAMES to JDPHV

Let's verify this pattern with the second example.

• G is the 7th letter. J is the 10th letter. Difference: $10 - 7 = 3$.
• A is the 1st letter. D is the 4th letter. Difference: $4 - 1 = 3$.
• M is the 13th letter. P is the 16th letter. Difference: $16 - 13 = 3$.
• E is the 5th letter. H is the 8th letter. Difference: $8 - 5 = 3$.
• S is the 19th letter. V is the 22nd letter. Difference: $22 - 19 = 3$.

The pattern of adding $+3$ to the letter position is consistent for GAMES to JDPHV as well.

Applying the Pattern to INDEX

Now, we will apply the $+3$ shift rule to each letter of the word INDEX.

• I is the 9th letter. $9 + 3 = 12$. The 12th letter is L.
• N is the 14th letter. $14 + 3 = 17$. The 17th letter is Q.
• D is the 4th letter. $4 + 3 = 7$. The 7th letter is G.
• E is the 5th letter. $5 + 3 = 8$. The 8th letter is H.
• X is the 24th letter. $24 + 3 = 27$. Wrapping around, $27 - 26 = 1$. The 1st letter is A.

Therefore, INDEX is coded as LQGHA.

Let's summarize the transformation:

The coded word for INDEX is LQGHA.

Revision Table: Coding Decoding Summary

Additional Information: Types of Coding Decoding

Coding-decoding questions test your ability to decipher a hidden pattern or rule and apply it. Common types include:

• Letter Coding: Letters are replaced by other letters based on a specific rule (like shifting positions, reversing order, or following a pattern).
• Number Coding: Words are coded using numbers.
• Symbol Coding: Letters or words are coded using symbols.
• Mixed Coding: A combination of letter, number, and symbol coding.

To solve these questions, you often need to be familiar with letter positions in the alphabet and practice recognizing different types of patterns, such as letter shifts, skipping letters, or reversals.