In a certain code 'CLOUD' is written as 'GTRKF'.How is 'SIGHT' written in that code?WGJHV

1. Break Down the Problem

We need to determine how the code works by analyzing the transformation of the word 'CLOUD' into 'GTRKF', and then apply the same transformation to the word 'SIGHT'.

2. Relevant Concepts

We will examine the numerical positions of each letter in the alphabet:

• A = 1, B = 2, C = 3, ..., Z = 26

Next, we will compute the difference in the position of each letter in 'CLOUD' and 'GTRKF'.

3. Analysis and Detail

Let's convert each letter into its numerical position:

• C = 3, L = 12, O = 15, U = 21, D = 4
• G = 7, T = 20, R = 18, K = 11, F = 6

Now, calculate the difference in positions:

1. C (3) to G (7): $7 - 3 = +4$
2. L (12) to T (20): $20 - 12 = +8$
3. O (15) to R (18): $18 - 15 = +3$
4. U (21) to K (11): $11 - 21 = -10$ (equivalent to +16 in modulo 26)
5. D (4) to F (6): $6 - 4 = +2$

The transformation can be summarized as follows:

• 1st letter: +4
• 2nd letter: +8
• 3rd letter: +3
• 4th letter: +16
• 5th letter: +2

4. Verify and Summarize

Now apply the same transformations to the word 'SIGHT':

• S = 19, I = 9, G = 7, H = 8, T = 20

Applying the transformations:

1. S (19) + 4 = 23 → W
2. I (9) + 8 = 17 → Q
3. G (7) + 3 = 10 → J
4. H (8) + 16 = 24 → X
5. T (20) + 2 = 22 → V

Final Answer

Therefore, 'SIGHT' is written as WQJXV in the code.