Understanding Coding Decoding: Letter to Number Pattern

This question is a classic example of a coding-decoding problem where words are assigned numerical codes based on a specific pattern. To solve this, we need to analyze the given examples to find the underlying rule.

We are given two coded words:

• BOTTLE is coded as 148
• SIPPER is coded as 166

We need to find the code for BUMPER.

Analyzing the Coding Decoding Logic

Let's try assigning numerical values to the letters based on their position in the English alphabet (A=1, B=2, ..., Z=26).

Step 1: Calculate the sum of alphabetical positions for BOTTLE

The letters in BOTTLE are B, O, T, T, L, E.

• B = 2
• O = 15
• T = 20
• T = 20
• L = 12
• E = 5

Sum of positions for BOTTLE:

\( \text{Sum}_{\text{BOTTLE}} = 2 + 15 + 20 + 20 + 12 + 5 = 74 \)

The coded value for BOTTLE is 148. We observe that \( 148 = 74 \times 2 \). This suggests the rule might involve summing the letter positions and then multiplying by 2.

Step 2: Verify the pattern with SIPPER

Let's apply the same logic to SIPPER. The letters are S, I, P, P, E, R.

• S = 19
• I = 9
• P = 16
• P = 16
• E = 5
• R = 18

Sum of positions for SIPPER:

\( \text{Sum}_{\text{SIPPER}} = 19 + 9 + 16 + 16 + 5 + 18 = 83 \)

The coded value for SIPPER is 166. Let's check if the pattern holds: \( 83 \times 2 = 166 \). Yes, the pattern holds true for SIPPER as well.

Step 3: Apply the pattern to find the code for BUMPER

Now we apply the established pattern to the word BUMPER. The letters are B, U, M, P, E, R.

• B = 2
• U = 21
• M = 13
• P = 16
• E = 5
• R = 18

Sum of positions for BUMPER:

\( \text{Sum}_{\text{BUMPER}} = 2 + 21 + 13 + 16 + 5 + 18 = 75 \)

According to the pattern, the code for BUMPER will be the sum multiplied by 2.

\( \text{Code}_{\text{BUMPER}} = \text{Sum}_{\text{BUMPER}} \times 2 = 75 \times 2 = 150 \)

Final Coding Decoding Answer

Based on the pattern where the alphabetical position of each letter is summed up and the total is multiplied by 2, the word BUMPER is coded as 150.

Revision Table: Letter Position Values

Additional Information on Coding Decoding Patterns

Coding decoding questions in logical reasoning often follow various patterns. Some common ones include:

• Letter Shifting: Each letter is shifted a fixed number of positions forward or backward in the alphabet (e.g., A becomes C, B becomes D).
• Reverse Alphabetical Order: Letters are assigned values based on their position from the end of the alphabet (A=26, B=25, etc.).
• Consonant/Vowel Based: The code might depend on whether the letter is a consonant or a vowel.
• Position-Based Operations: Operations (addition, subtraction, multiplication, division) might be applied to the letter positions.
• Sum/Product of Digits: If the letter value is a two-digit number, the sum or product of its digits might be used.
• Counting Letters: The code might relate to the number of letters in the word or the number of specific types of letters (vowels, consonants).

Solving these questions requires careful observation and trial-and-error with different common patterns.