Decoding Word-to-Number Patterns in Coding Language

This question asks us to figure out the pattern used to code words into numbers and then apply that pattern to a new word, 'GUAVA'. We are given two examples:

• 'FIG' is coded as 9.
• 'PLUM' is coded as 16.

Analyzing the Given Coding Language Examples

Let's look at the examples and see if we can find a relationship between the word and the number.

Example 1: 'FIG' coded as 9

• The word is 'FIG'.
• Let's count the number of letters in 'FIG'. There are 3 letters (F, I, G).
• The code for 'FIG' is 9.
• Is there a mathematical relationship between 3 and 9? We know that $3 \times 3 = 9$, or $3^2 = 9$.

Example 2: 'PLUM' coded as 16

• The word is 'PLUM'.
• Let's count the number of letters in 'PLUM'. There are 4 letters (P, L, U, M).
• The code for 'PLUM' is 16.
• Is there a mathematical relationship between 4 and 16? We know that $4 \times 4 = 16$, or $4^2 = 16$.

Identifying the Pattern in the Coding Language

From the two examples, it appears the pattern for coding a word is: (Number of letters in the word)$^2$.

The pattern holds true for both examples.

Applying the Coding Language Pattern to 'GUAVA'

Now, let's use this pattern to find the code for 'GUAVA'.

• The word is 'GUAVA'.
• Let's count the number of letters in 'GUAVA'. There are 5 letters (G, U, A, V, A).
• According to the pattern, the code will be the square of the number of letters.
• Code for 'GUAVA' = $(5)^2$
• $5^2 = 5 \times 5 = 25$.

Therefore, 'GUAVA' should be coded as 25 in this language.

Conclusion: Coding of GUAVA

Based on the pattern observed in the coding of 'FIG' and 'PLUM', the word 'GUAVA', which has 5 letters, is coded as $5^2 = 25$. This aligns with one of the provided options.

Revision Table: Coding Language Pattern

Additional Information: Logic and Reasoning Problems

This type of question falls under logical reasoning, specifically pattern recognition in coding and decoding. Here are some common types of patterns you might encounter:

• Letter Position: Using the alphabetical position of letters (A=1, B=2, etc.).
• Number of Letters: The pattern depends on the count of letters in the word, as seen in this problem.
• Vowel/Consonant Count: The pattern might be based on the number of vowels or consonants.
• Arithmetic Operations: Using sums, differences, products, or divisions of letter positions or counts.
• Combinations: A mix of the above patterns.

To solve such problems, always look for a consistent rule that applies to all given examples before applying it to the new case. Carefully count letters, check alphabetical positions, and perform simple arithmetic operations to test potential patterns.