In a certain code language, the word ‘PHONE’ is written as ‘SERKH’. How will ‘SAMSUNG’ be written in that code?VSPQWKJVXPPWKJVXPPXKJVXPQXKJ

To solve the problem, let's analyze how the word ‘PHONE’ is transformed into ‘SERKH’. We will determine the pattern used in this encoding and then apply it to ‘SAMSUNG’.

1. ### Break Down the Problem

We need to find how each letter in ‘PHONE’ corresponds to each letter in ‘SERKH’, and then apply the same pattern to the letters in ‘SAMSUNG’.

2. ### Relevant Concepts

We can find the position of each letter in the alphabet (A=1, B=2, ..., Z=26) and identify the transformation between the letters.

3. ### Analysis and Detail

Let's find the positions of each letter in ‘PHONE’ and ‘SERKH’:

• P = 16

• H = 8

• O = 15

• N = 14

• E = 5

• S = 19

• E = 5

• R = 18

• K = 11

• H = 8

Now, we look at the differences between the corresponding positions of the letters:

1. P (16) → S (19): $19 - 16 = +3$
2. H (8) → E (5): $5 - 8 = -3$
3. O (15) → R (18): $18 - 15 = +3$
4. N (14) → K (11): $11 - 14 = -3$
5. E (5) → H (8): $8 - 5 = +3$

The pattern appears to be:

• Add 3 for the 1st, 3rd, and 5th letters
• Subtract 3 for the 2nd and 4th letters

4. ### Verify and Summarize

Now, let's apply this pattern to ‘SAMSUNG’:

• S (19): $19 + 3 = 22 \rightarrow V$
• A (1): $1 - 3 = -2 \rightarrow 24 \rightarrow X$ (if we go negative, we can loop back to Z)
• M (13): $13 + 3 = 16 \rightarrow P$
• S (19): $19 - 3 = 16 \rightarrow P$
• U (21): $21 + 3 = 24 \rightarrow X$
• N (14): $14 - 3 = 11 \rightarrow K$
• G (7): $7 + 3 = 10 \rightarrow J$

Putting it all together, ‘SAMSUNG’ is encoded as ‘VXPXKJ’.

Final Answer

The word ‘SAMSUNG’ is written as ‘VXPXKJ’ in the code.