Understanding Code Language Patterns

This problem involves decoding a pattern in a code language based on given examples. We are given the codes for 'PLAY' and 'HAPPY' and need to find the code for 'SMILE'. Let's analyze the relationship between the words and their numerical codes.

Analyzing the Given Examples

We are given:

• 'PLAY' is coded as ‘54’
• 'HAPPY' is coded as ‘66’

Let's consider the positional values of the letters in the English alphabet (A=1, B=2, ..., Z=26).

Decoding 'PLAY'

Let's sum the positional values of the letters in 'PLAY':

• P is the 16th letter, so P = 16.
• L is the 12th letter, so L = 12.
• A is the 1st letter, so A = 1.
• Y is the 25th letter, so Y = 25.

Sum of positional values for 'PLAY' = $16 + 12 + 1 + 25 = 54$.

This matches the given code ‘54’.

Decoding 'HAPPY'

Now let's check 'HAPPY' using the same logic:

• H is the 8th letter, so H = 8.
• A is the 1st letter, so A = 1.
• P is the 16th letter, so P = 16.
• P is the 16th letter, so P = 16.
• Y is the 25th letter, so Y = 25.

Sum of positional values for 'HAPPY' = $8 + 1 + 16 + 16 + 25 = 66$.

This matches the given code ‘66’.

Determining the Logic

The pattern appears to be that the code for a word is the sum of the positional values of its letters in the English alphabet.

Coding 'SMILE'

Now we apply this logic to the word 'SMILE'.

• S is the 19th letter, so S = 19.
• M is the 13th letter, so M = 13.
• I is the 9th letter, so I = 9.
• L is the 12th letter, so L = 12.
• E is the 5th letter, so E = 5.

Sum of positional values for 'SMILE' = $19 + 13 + 9 + 12 + 5$.

Let's calculate the sum:

$19 + 13 = 32$

$32 + 9 = 41$

$41 + 12 = 53$

$53 + 5 = 58$

So, 'SMILE' is coded as ‘58’.

Conclusion

Following the established pattern where the code is the sum of the positional values of the letters, 'SMILE' is coded as 58.

Revision Table: Letter Positional Values

Additional Information: Types of Coding-Decoding

Coding-decoding questions test your ability to identify patterns in letter or number sequences. Common types include:

• Letter Coding: Letters are replaced by other letters based on a pattern (e.g., shifting position, reversing order).
• Number Coding: Words are coded into numbers based on patterns like positional values, sum/product of values, or number of letters/vowels/consonants.
• Symbol Coding: Letters or words are coded using symbols.
• Mixed Coding: Sentences are coded, and you need to find the code for specific words.
• Conditional Coding: Codes are assigned based on certain conditions or rules given in a table.

Practicing different types helps improve pattern recognition skills essential for solving such problems.