Decoding the Pattern in Coding Language Questions

This question asks us to find the code for the word 'APPLE' based on the coding pattern used for 'MANGO' and 'GRAPE' in a specific language. These types of problems require us to identify the rule or logic applied to convert a word into a code, often involving the letters' positions in the alphabet or their positions within the word.

Analyzing the Given Codes: MANGO and GRAPE

Let's look at the codes for 'MANGO' and 'GRAPE' and compare them with the alphabetical positions of their letters (A=1, B=2, ..., Z=26).

For MANGO:

Let's observe the relationship between the alphabetical position, position in the word, and the given code. It appears the code might be the product of the alphabetical position and the position in the word.

• For M (1st letter): \(13 \times 1 = 13\)
• For A (2nd letter): \(1 \times 2 = 2\)
• For N (3rd letter): \(14 \times 3 = 42\)
• For G (4th letter): \(7 \times 4 = 28\)
• For O (5th letter): \(15 \times 5 = 75\)

This pattern perfectly matches the code for MANGO (13-2-42-28-75).

Let's verify this pattern with GRAPE:

The calculated codes for GRAPE also match the given code (7-36-3-64-25). The pattern is confirmed.

Applying the Pattern to APPLE

Now, we will apply the same rule to find the code for the word 'APPLE'.

Rule: Code for a letter = (Alphabetical position of the letter) × (Position of the letter in the word)

So, the code for 'APPLE' is 1-32-48-48-25.

Comparing with Options

Let's compare our calculated code with the given options:

• Option 1: 1-32-24-21-30
• Option 2: 2-16-48-21-25
• Option 3: 1-32-48-48-25
• Option 4: 2-32-48-24-28

Our calculated code, 1-32-48-48-25, matches Option 3.

Therefore, in this code language, 'APPLE' is coded as '1-32-48-48-25'.

Revision Table: Coding Decoding Key Concepts

Additional Information: Types of Coding Decoding

Coding and decoding questions are common in competitive exams and test your logical reasoning ability. Besides the letter position-based pattern seen here, other common types include:

• Letter Coding: Letters are replaced by other letters based on a shift (e.g., A becomes C, B becomes D - shift by +2) or a specific pattern.
• Number Coding: Words are coded as numbers based on patterns related to alphabetical position, sum of positions, number of letters, etc., similar to this problem.
• Symbol Coding: Letters or words are replaced by symbols.
• Mixed Coding: Words and codes are given in sentences, and you need to deduce the code for a specific word by comparing sentences.
• Substitution: Words are replaced by other words (e.g., 'red' is called 'blue', 'blue' is called 'green').

Practicing different types helps in quickly identifying the pattern during an exam.