Solving Letter Coding Analogies: XIGP to Number Pattern

This question is an example of a letter coding analogy where a set of letters is related to a number based on a specific pattern. We need to identify the pattern between the first pair (XIGP and 172716) and then apply the same pattern to the second set of letters (ZHEJ) to find the corresponding number.

Analyzing the Pattern: XIGP to 172716

Let's first determine the alphabetical position of each letter in XIGP:

• X is the 24th letter of the alphabet.
• I is the 9th letter of the alphabet.
• G is the 7th letter of the alphabet.
• P is the 16th letter of the alphabet.

The number given is 172716. Let's try to see how the letter positions (24, 9, 7, 16) relate to the number 172716.

By observing the number 172716, it seems it could be formed by concatenating results derived from each letter sequentially. Let's test a pattern:

• For the first letter X (position 24), if we subtract 7, we get $24 - 7 = 17$.
• For the second letter I (position 9), if we subtract 7, we get $9 - 7 = 2$.
• For the third letter G (position 7), the result seems to be its position itself, which is 7.
• For the fourth letter P (position 16), the result seems to be its position itself, which is 16.

Let's concatenate these results: 17 followed by 2, followed by 7, followed by 16. This gives us 172716, which matches the number provided for XIGP.

So, the pattern is:

1. First letter: Alphabetical Position - 7
2. Second letter: Alphabetical Position - 7
3. Third letter: Alphabetical Position
4. Fourth letter: Alphabetical Position

The results from each step are then concatenated to form the final number.

Applying the Pattern to ZHEJ

Now, let's apply this identified pattern to the letters ZHEJ.

First, find the alphabetical position of each letter in ZHEJ:

• Z is the 26th letter.
• H is the 8th letter.
• E is the 5th letter.
• J is the 10th letter.

Next, apply the pattern based on the position of the letter in the word ZHEJ:

• For the first letter Z (position 26): Apply "Position - 7". Calculation: $26 - 7 = 19$.
• For the second letter H (position 8): Apply "Position - 7". Calculation: $8 - 7 = 1$.
• For the third letter E (position 5): Apply "Position". Calculation: $5$.
• For the fourth letter J (position 10): Apply "Position". Calculation: $10$.

Finally, concatenate the results from each step:

$19$ || $1$ || $5$ || $10$ = $191510$.

The number corresponding to ZHEJ based on the pattern is 191510.

Verifying the Answer with Options

Let's compare our calculated number with the given options:

• Option 1: 191601
• Option 2: 191501
• Option 3: 191511
• Option 4: 191510

Our result, 191510, matches Option 4.

Conclusion on the Letter-Number Code

The pattern is consistent for the given pair XIGP : 172716 and when applied to ZHEJ, it correctly yields 191510, which is available in the options. The pattern involves applying specific operations based on the letter's position in the word (first, second, third, or fourth) to its alphabetical position and then concatenating the outcomes.

Revision Table: Key Concepts in Coding-Decoding

Additional Information: Types of Letter Coding

Coding-decoding questions are common in reasoning tests. They involve finding a hidden pattern or rule. Some common types include:

• Letter to Letter Coding: Letters are replaced by other letters based on shifting positions (e.g., A becomes C, B becomes D - shifting by +2) or reverse alphabetical order (A becomes Z, B becomes Y).
• Letter to Number Coding: Letters are assigned numerical values. This can be based on alphabetical position (A=1, B=2, etc.), reverse alphabetical position (A=26, B=25, etc.), sum of digits of position, or other arithmetic operations applied to the position.
• Mixed Coding: A mix of letters and numbers are used in the code.
• Symbol Coding: Letters or words are replaced by symbols.

This problem falls under the Letter to Number Coding type, where the pattern is derived from the alphabetical positions and simple arithmetic operations.