Understanding the Coding-Decoding Pattern

This question involves a coding-decoding pattern where words are converted into numerical values based on a specific rule. We are given the coded values for 'STOOL' and 'SKY' and need to find the coded value for 'TABLE' using the same rule.

Analyzing the Given Codes

Let's examine the relationship between the words and their codes:

• Word: STOOL, Code: 405
• Word: SKY, Code: 165

We can start by looking at the alphabetical positions of the letters in each word.

Code for STOOL

The letters in STOOL are S, T, O, O, L.

Their alphabetical positions are:

• S is the 19th letter.
• T is the 20th letter.
• O is the 15th letter.
• O is the 15th letter.
• L is the 12th letter.

Let's calculate the sum of their alphabetical positions:

\( \text{Sum}_{\text{STOOL}} = 19 + 20 + 15 + 15 + 12 = 81 \)

The code given for STOOL is 405. We can see that \( 81 \times 5 = 405 \). The number of letters in the word STOOL is 5.

Code for SKY

The letters in SKY are S, K, Y.

Their alphabetical positions are:

• S is the 19th letter.
• K is the 11th letter.
• Y is the 25th letter.

Let's calculate the sum of their alphabetical positions:

\( \text{Sum}_{\text{SKY}} = 19 + 11 + 25 = 55 \)

The code given for SKY is 165. We can see that \( 55 \times 3 = 165 \). The number of letters in the word SKY is 3.

Identifying the Pattern

Based on the analysis of STOOL and SKY, the pattern appears to be:

Coded Value = (Sum of the alphabetical positions of the letters in the word) \( \times \) (Number of letters in the word)

Applying the Pattern to TABLE

Now, let's apply this pattern to the word TABLE.

The letters in TABLE are T, A, B, L, E.

Their alphabetical positions are:

• T is the 20th letter.
• A is the 1st letter.
• B is the 2nd letter.
• L is the 12th letter.
• E is the 5th letter.

Let's calculate the sum of their alphabetical positions:

\( \text{Sum}_{\text{TABLE}} = 20 + 1 + 2 + 12 + 5 = 40 \)

The number of letters in the word TABLE is 5.

Now, let's calculate the coded value using the identified pattern:

\( \text{Coded Value}_{\text{TABLE}} = \text{Sum}_{\text{TABLE}} \times \text{Number of letters in TABLE} \)

\( \text{Coded Value}_{\text{TABLE}} = 40 \times 5 = 200 \)

Therefore, 'TABLE' will be written as '200' in that language.

Revision Table: Word Coding Analysis

Additional Information: Types of Coding-Decoding

Coding-decoding questions are common in logical reasoning sections of various exams. They test your ability to identify patterns and rules governing the transformation of words, letters, or numbers.

Common types of coding-decoding patterns include:

• Letter Coding: Letters are replaced by other letters based on a shift in position, reverse alphabetical order, or other patterns.
• Number Coding: Words or letters are represented by numbers. This can be based on alphabetical positions, sum of positions, number of letters, vowel/consonant counts, or other arithmetic operations.
• Symbol Coding: Words are represented by symbols.
• Substitution Coding: Words are substituted with other words based on a hidden code (e.g., 'blue is called green', 'green is called yellow').
• Mixed Letter & Number/Symbol Coding: A combination of the above patterns.

Solving these questions requires careful observation, breaking down the given examples, identifying the logic, and applying it consistently to find the answer for the target word or number.