Understanding the Coding Pattern for NOON and SOLOS

The question asks us to find the code for the word "SOLOS" based on a given code for the word "NOON". The code provided is: NOON is written as 5665.

Analyzing the Code for NOON (5665)

Let's look at the letters in the word NOON: N, O, O, N. The code is 5665. We need to find a relationship between the letters and the digits.

Observe the pattern:

• The first letter N corresponds to the digit 5.
• The second letter O corresponds to the digit 6.
• The third letter O corresponds to the digit 6.
• The fourth letter N corresponds to the digit 5.

This suggests a direct mapping for the letters N and O:

• N → 5
• O → 6

Identifying the Coding Rule

Now, let's try to find a rule that connects the letters N and O to the digits 5 and 6. A common type of coding involves the alphabetical position of letters.

Let's list the alphabetical positions:

• A=1, B=2, C=3, ..., N=14, O=15, ..., S=19, ..., L=12, ...

Comparing the alphabetical positions with the coded digits:

• For N: Alphabetical position is 14. The coded digit is 5. The difference is \(14 - 5 = 9\).
• For O: Alphabetical position is 15. The coded digit is 6. The difference is \(15 - 6 = 9\).

It appears the coding rule is: Coded Digit = Alphabetical Position - 9.

Applying the Rule to SOLOS

Now, let's apply this rule to each letter in the word SOLOS.

The letters in SOLOS are S, O, L, O, S.

Let's find the alphabetical position and apply the rule for each letter:

• S: Alphabetical position is 19. Coded digit = \(19 - 9 = 10\).
• O: Alphabetical position is 15. Coded digit = \(15 - 9 = 6\).
• L: Alphabetical position is 12. Coded digit = \(12 - 9 = 3\).
• O: Alphabetical position is 15. Coded digit = \(15 - 9 = 6\).
• S: Alphabetical position is 19. Coded digit = \(19 - 9 = 10\).

Constructing the Code for SOLOS

Putting the coded digits together in order:

• S → 10
• O → 6
• L → 3
• O → 6
• S → 10

The code for SOLOS is the sequence of these digits: 1063610.

Comparing with Options

Let's compare our result, 1063610, with the given options:

• Option 1: 1063610
• Option 2: 1064610
• Option 3: 1066610
• Option 4: 1065610

Our calculated code, 1063610, matches Option 1.

Conclusion: Decoding SOLOS

By analyzing the coding pattern used for NOON (5665), we determined the rule is to subtract 9 from the alphabetical position of each letter. Applying this rule to SOLOS, we found the code to be 1063610.

Revision Table: Coding Reasoning

Additional Information: Letter Coding Types

Letter coding problems in reasoning can follow various patterns. Understanding these common types can help solve such puzzles quickly.

• Alphabetical Position: Using the position of the letter in the alphabet (A=1, B=2, ...). The rule might be the position itself, a calculation based on position (like position + a number, position - a number, position * a number), or using the position from the end of the alphabet (Z=1, Y=2, ...).
• Letter Mapping: One letter is directly substituted by another letter or a symbol. The pattern might be a shift (e.g., A becomes B, B becomes C) or a jumbled mapping.
• Vowel/Consonant Based: Different rules might apply to vowels and consonants.
• Reverse Order: The letters of the word might be written in reverse order before applying another rule.
• Combination of Rules: Sometimes, multiple rules are combined within the same code.

Always start by carefully examining the given example (like NOON=5665) to identify the specific rule being used before applying it to the word you need to code (like SOLOS).