Question

If the word 'LEADER' is coded as 20-13-9-12-13-26. How would you write "LIGHT"

• A. \( 20-16-15-17-22 \)
• B. \( 20-17-15-16-28 \)
• C. \( 20-15-16-18-23 \)
• D. \( 20-16-17-15-27 \)

Hint:

\textbf{Coding-Decoding.} In coding-decoding problems, the first step is to identify the pattern or rule used to encode the given word. This often involves finding the relationship between the position of the letters in the alphabet and their corresponding codes. Once the pattern is identified, apply the same rule to encode the target word.

Answer 1

The Correct Option is B

First, let's analyze the coding of the word 'LEADER': L (12) is coded as 20 E (5) is coded as 13 A (A) is coded as 9 D (4) is coded as 12 E (5) is coded as 13 R (18) is coded as 26 Let's find the pattern in the coding. We can observe the difference between the position of the letter in the alphabet and its code: \( 20 - 12 = 8 \) \( 13 - 5 = 8 \) \( 9 - 1 = 8 \) \( 12 - 4 = 8 \) \( 13 - 5 = 8 \) \( 26 - 18 = 8 \) It appears that each letter is coded by adding 8 to its position in the alphabet. Now, let's apply the same logic to code the word "LIGHT": L is the 12th letter. Code for L \( = 12 + 8 = 20 \) I is the 9th letter. Code for I \( = 9 + 8 = 17 \) G is the 7th letter. Code for G \( = 7 + 8 = 15 \) H is the 8th letter. Code for H \( = 8 + 8 = 16 \) T is the 20th letter. Code for T \( = 20 + 8 = 28 \) So, the code for "LIGHT" is 20-17-15-16-28. This matches option (B)