Understanding Letter Coding Patterns

This question involves a letter coding pattern where each letter is assigned a numerical value based on a specific rule. We are given the coded values for two letters, B and H, and asked to find the coded value for the word SCHOOL.

Identifying the Coding Rule

We are given:

• B = 3
• H = 9

Let's look at the alphabetical positions of these letters:

• The alphabetical position of B is 2.
• The alphabetical position of H is 8.

Comparing the given values with their alphabetical positions, we can observe a pattern:

• For B: Position is 2, Value is 3. The value is 1 more than the position ($$3 = 2 + 1$$).
• For H: Position is 8, Value is 9. The value is 1 more than the position ($$9 = 8 + 1$$).

The pattern appears to be: The coded value of a letter is its alphabetical position plus 1.

We can write this rule as: Coded Value = Alphabetical Position + 1.

Applying the Rule to SCHOOL

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

• S: The alphabetical position of S is 19. Coded Value = 19 + 1 = 20.
• C: The alphabetical position of C is 3. Coded Value = 3 + 1 = 4.
• H: The alphabetical position of H is 8. Coded Value = 8 + 1 = 9. (Matches the given information, confirming the rule).
• O: The alphabetical position of O is 15. Coded Value = 15 + 1 = 16.
• O: The alphabetical position of O is 15. Coded Value = 15 + 1 = 16.
• L: The alphabetical position of L is 12. Coded Value = 12 + 1 = 13.

We can represent the letter positions and coded values in a table:

Calculating the Total Value for SCHOOL

To find the coded value for the word SCHOOL, we need to sum the coded values of its individual letters:

Value of SCHOOL = Value of S + Value of C + Value of H + Value of O + Value of O + Value of L

Value of SCHOOL = $$20 + 4 + 9 + 16 + 16 + 13$$

Let's perform the addition:

$$20 + 4 = 24$$

$$24 + 9 = 33$$

$$33 + 16 = 49$$

$$49 + 16 = 65$$

$$65 + 13 = 78$$

The calculated coded value for SCHOOL is 78.

Comparing with the Options

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

• Option 1: 78
• Option 2: 76
• Option 3: 69
• Option 4: 96

Our calculated value, 78, matches Option 1.

Revision Table: Letter Coding Basics

Additional Information: Types of Letter Coding

Letter coding problems often appear in reasoning and aptitude tests. They can involve various patterns:

• Position-based Coding: The code relates to the letter's position in the alphabet (like in this problem). The rule could be simple addition, subtraction, multiplication, squaring the position, etc.
• Relative Position Coding: The code relates to positions from the end of the alphabet (Z=1, Y=2, etc.) or positions relative to a fixed point.
• Letter-to-Letter Coding: Each letter is replaced by another letter based on a pattern (e.g., shifting letters forward or backward in the alphabet).
• Letter-to-Symbol Coding: Letters are replaced by symbols.
• Mixed Coding: A combination of different rules might be used within the same code.

Solving these problems requires carefully observing the given examples to identify the underlying rule or pattern before applying it to the target word or letter.