Solving the Coding Decoding Question: BED, CAB, and ADD

This question involves a coding-decoding pattern where words are represented by numbers. We need to decipher the logic used to convert 'BED' to '122' and 'CAB' to '37' to find the code for 'ADD'.

Analyzing the Given Codes

Let's look at the letters and their standard positional values in the English alphabet (A=1, B=2, C=3, ..., Z=26):

• For 'BED': B=2, E=5, D=4
• For 'CAB': C=3, A=1, B=2
• For 'ADD': A=1, D=4, D=4

Now, let's try to find a mathematical relationship between the positional values and the given codes (122 and 37).

Discovering the Coding Pattern

Let's consider possible operations on the positional values:

• Sum of positional values for BED: $2 + 5 + 4 = 11$
• Sum of positional values for CAB: $3 + 1 + 2 = 6$

Neither 11 nor 6 directly relates to 122 or 37 through simple multiplication or addition.

Let's try squaring the sum of positional values:

• For BED: $(2 + 5 + 4)^2 = 11^2 = 121$
• For CAB: $(3 + 1 + 2)^2 = 6^2 = 36$

We can see that 121 is very close to 122, and 36 is very close to 37. In both cases, the given code is exactly 1 more than the square of the sum of the positional values.

This suggests the coding pattern is: $(\text{Sum of positional values of letters})^2 + 1$

Verifying the Pattern with Examples

Let's confirm the pattern with the given words:

The pattern holds true for both examples.

Applying the Pattern to 'ADD'

Now, let's apply the same logic to find the code for 'ADD'.

Positional values for 'ADD': A=1, D=4, D=4

1. Find the sum of positional values: $1 + 4 + 4 = 9$
2. Square the sum: $9^2 = 81$
3. Add 1 to the result: $81 + 1 = 82$

Therefore, 'ADD' will be written as '82' in this code language.

Final Answer

Based on the established pattern, the code for 'ADD' is 82.

Revision Table: Key Concepts in Coding Decoding

Additional Information: Types of Coding Decoding

Coding decoding questions test your ability to identify patterns and apply them. Common types include:

• Letter Coding: Letters are coded as other letters.
• Number Coding: Words or letters are coded as numbers, as seen in this question.
• Symbol Coding: Letters or words are coded using symbols.
• Mixed Coding: Sentences are coded using a mix of words or numbers, often requiring you to find the code for individual words by comparison.
• Letter and Number Mixed Coding: Letters are coded using a combination of letters and numbers.

Practicing different types helps you become familiar with various logic patterns, including positional values, reverse positional values, skipping letters, arithmetic operations, etc.