Understanding the Coding Decoding Pattern

This question asks us to decipher a specific coding pattern used to convert words into sequences of '1's and '0's. We are given two examples: 'SHOUT' coded as '10110' and 'COLOUR' coded as '110110'. Our goal is to find the rule behind this coding and apply it to the word 'OCEAN'.

Let's look closely at the given examples and the number of letters in each word compared to the number of digits in their codes:

• SHOUT has 5 letters and its code '10110' has 5 digits.
• COLOUR has 6 letters and its code '110110' has 6 digits.

It appears that each letter in the word is converted into a single digit ('1' or '0') in the code.

Analyzing the SHOUT Coding

Let's examine the first example, SHOUT $\rightarrow$ 10110. We can align the letters with their corresponding digits:

Possible patterns often involve classifying letters, such as vowels (A, E, I, O, U) and consonants, or their position in the English alphabet (A=1, B=2, etc.).

Let's check the vowel/consonant pattern for SHOUT:

• S is a Consonant (C)
• H is a Consonant (C)
• O is a Vowel (V)
• U is a Vowel (V)
• T is a Consonant (C)

Mapping letter type to code:

From this, it seems vowels (O, U) are coded as '1'. However, consonants (S, H, T) are coded as both '1' and '0', so it's not a simple vowel/consonant mapping.

Analyzing the COLOUR Coding

Now let's look at the second example, COLOUR $\rightarrow$ 110110:

Mapping letter type to code:

Again, vowels (O, U) are consistently coded as '1'. Consonants (C, L, R) are coded as '1' or '0'. Let's consolidate the observations for both words:

• Vowels (O, U) $\rightarrow$ 1
• Consonants:
  • S $\rightarrow$ 1
  • H $\rightarrow$ 0
  • T $\rightarrow$ 0
  • C $\rightarrow$ 1
  • L $\rightarrow$ 0
  • R $\rightarrow$ 0

The vowels are clear. For consonants, some map to 1 (S, C) and some map to 0 (H, T, L, R). There must be another rule for consonants.

Discovering the Coding Rule

Let's consider the alphabetical position of each letter (A=1, B=2, ...):

• Vowels: A(1), E(5), I(9), O(15), U(21). All have odd positions.
• Consonants: Let's check the positions of the consonants from the examples:
  • S: Position 19 (Odd) $\rightarrow$ Code 1
  • H: Position 8 (Even) $\rightarrow$ Code 0
  • T: Position 20 (Even) $\rightarrow$ Code 0
  • C: Position 3 (Odd) $\rightarrow$ Code 1
  • L: Position 12 (Even) $\rightarrow$ Code 0
  • R: Position 18 (Even) $\rightarrow$ Code 0

This reveals a clear pattern:

• If the letter is a Vowel (A, E, I, O, U), the code is 1.
• If the letter is a Consonant, check its alphabetical position:
  • If the position is Odd, the code is 1.
  • If the position is Even, the code is 0.

Let's verify this rule with the example words:

The rule holds true for both given examples.

Applying the Rule to OCEAN

Now, let's apply the discovered coding rule to the word 'OCEAN':

• O: Vowel. According to the rule, Vowels are coded as 1.
• C: Consonant. Alphabetical position is 3. 3 is an Odd number. According to the rule, Consonants with Odd positions are coded as 1.
• E: Vowel. According to the rule, Vowels are coded as 1.
• A: Vowel. According to the rule, Vowels are coded as 1.
• N: Consonant. Alphabetical position is 14. 14 is an Even number. According to the rule, Consonants with Even positions are coded as 0.

Let's put it in a table:

Combining the individual letter codes for OCEAN, we get:

OCEAN $\rightarrow$ 11110

Conclusion

Based on the coding pattern derived from 'SHOUT' and 'COLOUR', the word 'OCEAN' is coded as '11110'. This matches option 3.

Revision Table: Key Concepts in Coding Decoding

Additional Information: Types of Letter Coding

Coding decoding is a common topic in reasoning, testing your ability to find patterns. Here are some common types of letter coding patterns:

• Alphabetical Position: Letters are coded based on their position (A=1, B=2, etc.). This might involve direct mapping, adding/subtracting a number, or using the sum/product of positions.
• Reverse Alphabetical Position: Letters are coded based on their position from the end (Z=1, Y=2, etc.).
• Vowel/Consonant Coding: Letters are coded differently based on whether they are vowels or consonants.
• Pattern in Position: Letters are coded based on whether their alphabetical position is odd or even, or if it's a prime number, etc.
• Direct Letter Swapping: Letters are rearranged within the word based on a pattern (e.g., reverse the word, swap adjacent letters).
• Letter Shifting (Caesar Cipher): Each letter is replaced by a letter a fixed number of positions away in the alphabet (e.g., A becomes D, B becomes E, if shifting by 3).
• Mixed Patterns: Combining two or more of the above rules. The problem solved here uses a combination of vowel/consonant classification and alphabetical position parity.

Solving coding decoding problems requires careful observation, testing different hypotheses, and being familiar with common patterns like the one used in this question.