Understanding the Code Language

This problem involves a code language where words are converted into numbers based on a specific pattern. We are given two examples: HEAVIER is coded as 49, and MAKE is coded as 16. Our goal is to find the code for the word SPOKEN using the same logic.

Analyzing the Pattern: HEAVIER and MAKE

Let's look at the relationship between the words and their numerical codes:

• The word HEAVIER has 7 letters (H, E, A, V, I, E, R). The code is 49. Notice that $7^2 = 49$.
• The word MAKE has 4 letters (M, A, K, E). The code is 16. Notice that $4^2 = 16$.

From these examples, it appears that the code for a word is the square of the number of letters in that word.

Applying the Pattern to SPOKEN

Now, let's apply this pattern to the word SPOKEN:

• The word SPOKEN has 6 letters (S, P, O, K, E, N).
• According to the pattern, the code should be the square of the number of letters.
• So, the code for SPOKEN is $6^2$.
• Calculating $6^2$: $6 \times 6 = 36$.

Therefore, the code for SPOKEN in this language is 36.

Confirming the Solution

Let's summarise the findings in a table:

The calculated code for SPOKEN is 36, which is one of the given options.

Step-by-Step Solution

1. Count the number of letters in the first word, HEAVIER. There are 7 letters.
2. Check if squaring the number of letters gives the code: $7^2 = 49$. This matches the given code.
3. Count the number of letters in the second word, MAKE. There are 4 letters.
4. Check if squaring the number of letters gives the code: $4^2 = 16$. This matches the given code, confirming the pattern.
5. Count the number of letters in the target word, SPOKEN. There are 6 letters.
6. Apply the identified pattern: Square the number of letters. Calculate $6^2$.
7. $6^2 = 36$.
8. The code for SPOKEN is 36.

Revision Table: Coding Decoding Patterns

Additional Information: Logical Reasoning in Coding Decoding

Coding and decoding questions are a common part of logical reasoning tests. They assess your ability to identify patterns and rules applied to words, letters, or numbers and then apply those rules to new instances. Here are some tips for solving such problems:

• Observe Carefully: Look closely at the given examples and how the transformation occurs.
• Identify the Pattern: Try different common patterns: letter positions, reverse positions, number of letters, vowel/consonant counts, skipping letters, arithmetic operations, etc.
• Test the Pattern: Ensure the pattern you identified works for all the given examples.
• Apply the Pattern: Once confident about the rule, apply it systematically to the word or number you need to code/decode.
• Check Options: Compare your result with the given options to verify.

This specific problem uses a simple numerical pattern based on the word's length, a frequent type in coding decoding exercises.