Understanding Coding-Decoding Logic

This problem involves decoding words based on a specific coding rule applied to other words. We are given the coded values for 'DOUBLE' and 'CHECK' and need to find the coded value for 'GLITTER' using the same rule.

Analyzing the Given Codes

We have the following information:

• 'DOUBLE' is coded as 59.
• 'CHECK' is coded as 30.
• We need to find the code for 'GLITTER'.

Deducing the Coding Rule

Let's try to relate the letters of the words to their numerical positions in the English alphabet (A=1, B=2, C=3, ..., Z=26). We can list the letter values for 'DOUBLE':

• D is the 4th letter.
• O is the 15th letter.
• U is the 21st letter.
• B is the 2nd letter.
• L is the 12th letter.
• E is the 5th letter.

Let's sum these alphabetical positions:

\(4 + 15 + 21 + 2 + 12 + 5 = 59\)

This sum matches the given code for 'DOUBLE'.

Let's check this rule with the word 'CHECK':

• C is the 3rd letter.
• H is the 8th letter.
• E is the 5th letter.
• C is the 3rd letter.
• K is the 11th letter.

Let's sum these alphabetical positions:

\(3 + 8 + 5 + 3 + 11 = 30\)

This sum also matches the given code for 'CHECK'.

It appears the coding rule is to sum the alphabetical position values of all the letters in the word.

Applying the Rule to 'GLITTER'

Now, let's apply the deduced rule to the word 'GLITTER'. We find the alphabetical position for each letter:

• G is the 7th letter.
• L is the 12th letter.
• I is the 9th letter.
• T is the 20th letter.
• T is the 20th letter.
• E is the 5th letter.
• R is the 18th letter.

Now, we sum these values:

\(7 + 12 + 9 + 20 + 20 + 5 + 18\)

Let's calculate the sum:

\(7 + 12 = 19\)

\(19 + 9 = 28\)

\(28 + 20 = 48\)

\(48 + 20 = 68\)

\(68 + 5 = 73\)

\(73 + 18 = 91\)

The coded value for 'GLITTER' is 91.

Conclusion

Based on the coding logic where the code is the sum of the alphabetical positions of the letters, the word 'GLITTER' is coded as 91.

Coding Decoding Revision Table

Additional Information on Coding-Decoding

Coding-decoding questions test your ability to identify a pattern or rule connecting a set of inputs (words, letters, numbers) to their corresponding outputs (codes). Once the rule is identified, it needs to be applied to find the output for a new input or vice versa.

Common types of coding rules include:

• Letter Shifting: Letters are shifted forward or backward by a certain number of positions (e.g., A becomes B, or A becomes Z).
• Reverse Alphabetical Order: Using position from Z (Z=1, Y=2, ... A=26).
• Sum/Product of Positions: As seen in this problem.
• Consonant/Vowel Separate Rules: Different rules for consonants and vowels.
• Pattern Based on Number of Letters: The code might relate to the count of letters, vowels, or consonants.
• Symbol/Number Substitution: Replacing letters with specific symbols or numbers based on a pattern.
• Positional Value Manipulation: Doubling positions, adding constants, etc.

To solve coding-decoding problems effectively, it's helpful to:

• Write down the given word-code pairs clearly.
• List the alphabetical positions of the letters.
• Try simple arithmetic operations (sum, product, difference) or positional shifts.
• Look for patterns in letter positions or their sum/product.
• Test the suspected rule with all given examples before applying it to the unknown word.