Coding Language Pattern Analysis

This question involves understanding a coding language where words are represented by numbers. We are given two examples: 'MOST' is coded as '134', and 'FUR' is coded as '90'. We need to find the code for 'SUCCESS' based on the same pattern.

Analyzing the Coding Pattern

Let's look at the letters in the given words and their corresponding numerical positions in the English alphabet (A=1, B=2, ..., Z=26).

Example 1: MOST

The letters in 'MOST' are M, O, S, T.

• M is the 13th letter.
• O is the 15th letter.
• S is the 19th letter.
• T is the 20th letter.

Let's try summing these positional values:

\( \text{Sum} = 13 + 15 + 19 + 20 \)

\( \text{Sum} = 67 \)

The code given for 'MOST' is 134. We observe that \( 67 \times 2 = 134 \). This suggests the pattern might involve summing the positional values and then multiplying the sum by 2.

Example 2: FUR

Let's test this potential pattern with 'FUR'. The letters are F, U, R.

• F is the 6th letter.
• U is the 21st letter.
• R is the 18th letter.

Summing their positional values:

\( \text{Sum} = 6 + 21 + 18 \)

\( \text{Sum} = 45 \)

The code given for 'FUR' is 90. Applying the multiplication by 2 rule: \( 45 \times 2 = 90 \). This matches the given code for 'FUR'.

The Identified Coding Rule

Based on the analysis of 'MOST' and 'FUR', the coding rule appears to be:

Code = (Sum of the positional values of the letters in the word) \(\times\) 2

Applying the Rule to SUCCESS

Now, let's apply this rule to the word 'SUCCESS'. The letters are S, U, C, C, E, S, S.

• S is the 19th letter.
• U is the 21st letter.
• C is the 3rd letter.
• C is the 3rd letter.
• E is the 5th letter.
• S is the 19th letter.
• S is the 19th letter.

Summing the positional values of all the letters in 'SUCCESS':

\( \text{Sum} = 19 + 21 + 3 + 3 + 5 + 19 + 19 \)

\( \text{Sum} = 40 + 3 + 3 + 5 + 19 + 19 \)

\( \text{Sum} = 43 + 3 + 5 + 19 + 19 \)

\( \text{Sum} = 46 + 5 + 19 + 19 \)

\( \text{Sum} = 51 + 19 + 19 \)

\( \text{Sum} = 70 + 19 \)

\( \text{Sum} = 89 \)

Now, applying the multiplication by 2 rule:

\( \text{Code for SUCCESS} = 89 \times 2 \)

\( \text{Code for SUCCESS} = 178 \)

Conclusion

Following the identified pattern, the word 'SUCCESS' is coded as 178.

Revision Table: Letter Positions

Additional Information: Coding Decoding Concepts

Coding-decoding questions test your ability to identify patterns in how words, letters, or numbers are coded. Common patterns include:

• Using positional values of letters (as seen in this question).
• Adding, subtracting, or multiplying positional values or their sums.
• Reversing the order of letters.
• Substituting letters with others based on a shift in position (e.g., A becomes C, B becomes D - a shift of +2).
• Using opposite letters (e.g., A's opposite is Z, B's opposite is Y).
• Combining multiple rules.

Solving these questions requires careful observation, pattern identification, and applying the derived rule consistently.