Decoding Word to Number Patterns

This question asks us to decipher a specific code language where words are converted into numbers. We are given two examples: 'YOU' is coded as '7878' and 'GO' is coded as '108'. Our task is to find the code for the word 'SIT' using the same logic.

Analyzing the Given Codes

Let's look at the examples provided:

• Word: YOU, Code: 7878
• Word: GO, Code: 108

We need to find a pattern or rule that transforms the letters of the word into the given numbers.

Exploring Possible Logic - Positional Values

A common approach in such coding questions is to use the alphabetical positional values of the letters (A=1, B=2, ..., Z=26).

• For 'YOU':
  • Y is the 25th letter.
  • O is the 15th letter.
  • U is the 21st letter.
• For 'GO':
  • G is the 7th letter.
  • O is the 15th letter.

Hypothesizing the Coding Rule

Let's see if a combination of these positional values can lead to the given codes. Simple sums (25+15+21=61, 7+15=22) don't match. Let's try the product of the positional values:

• For 'YOU': Product = $25 \times 15 \times 21$
• For 'GO': Product = $7 \times 15$

Testing the Hypothesis

Let's calculate the products:

• For 'YOU':
  • \(25 \times 15 = 375\)
  • \(375 \times 21 = 7875\)
  The product is 7875. The given code is 7878. The difference is \(7878 - 7875 = 3\).
• For 'GO':
  • \(7 \times 15 = 105\)
  The product is 105. The given code is 108. The difference is \(108 - 105 = 3\).

It appears the pattern is: (Product of the positional values of the letters) + 3.

Applying the Logic to 'SIT'

Now, let's apply this rule to the word 'SIT'. First, find the positional values of its letters:

• S is the 19th letter.
• I is the 9th letter.
• T is the 20th letter.

Next, calculate the product of these positional values:

Product = $19 \times 9 \times 20$

Calculation:

• \(19 \times 9 = 171\)
• \(171 \times 20 = 3420\)

Finally, add 3 to the product:

Code for 'SIT' = \(3420 + 3 = 3423\)

Conclusion

Based on the derived logic, the code for 'SIT' is 3423.

Comparing with Options

Let's check the given options:

Our calculated code, 3423, matches Option 1.

Revision Table: Word Coding Logic

Additional Information: Types of Coding-Decoding Questions

Coding-decoding is a common topic in logical reasoning tests. Questions can involve different types of patterns:

• Letter Coding: Letters are substituted with other letters based on a shift or pattern (e.g., A becomes C, B becomes D, etc.).
• Number Coding: Words are coded into numbers based on positional values, sum/product of values, number of letters, vowels/consonants count, etc.
• Symbol Coding: Words or letters are coded using symbols.
• Mixed Coding: A combination of letters, numbers, and symbols is used.
• Sentence Coding: Complete sentences or phrases are coded, and the pattern is often related to substituting words with other words or codes.

Identifying the type of coding and systematically testing potential rules (like positional values, arithmetic operations, reversing order, etc.) is key to solving these problems.