If SCHEME is coded as TDIFNF, then what is the code for WONDER?
XPOEFS
Coding Pattern Identification
The question asks us to find the coding pattern used to transform the word 'SCHEME' into 'TDIFNF' and then apply this pattern to the word 'WONDER'. Let's analyze the relationship between the letters of 'SCHEME' and 'TDIFNF'.
We compare each letter of the original word with the corresponding letter in the coded word:
| Original Letter | Coded Letter | Shift |
|---|---|---|
| S | T | $+1$ |
| C | D | $+1$ |
| H | I | $+1$ |
| E | F | $+1$ |
| M | N | $+1$ |
| E | F | $+1$ |
The analysis reveals that each letter in 'SCHEME' is shifted one position forward in the alphabet to get the corresponding letter in 'TDIFNF'. This is a consistent $+1$ shift (Caesar cipher with a shift of 1).
Applying the Coding Pattern to WONDER
Now, we apply the same $+1$ shift pattern to the word 'WONDER':
- W $\rightarrow$ W $+1$ = X
- O $\rightarrow$ O $+1$ = P
- N $\rightarrow$ N $+1$ = O
- D $\rightarrow$ D $+1$ = E
- E $\rightarrow$ E $+1$ = F
- R $\rightarrow$ R $+1$ = S
Following this pattern, the coded word for 'WONDER' is 'XPOEFS'.
Finding the Correct Option
Comparing our result 'XPOEFS' with the given options:
- 1. POXEFS
- 2. XPQFTF
- 3. XOOESF
- 4. XPOEFS
The calculated code 'XPOEFS' matches option 4.
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