In a certain code language, ‘INSTITUTE’ is written as ‘JOTUKWXWH’ and ‘OPPRESSOR’ is written as ‘PQQSGVVRU’. How will ‘TRANSFORM’ be written in the same code language?
To solve the problem of finding how 'TRANSFORM' is written in the given code language, let us first understand the pattern in the code language through the given examples.
The first example given is:
'INSTITUTE' is written as 'JOTUKWXWH'.
Let’s analyze this step by step:
- Observe the letters’ positions:
| Original | I | N | S | T | I | T | U | T | E |
|---|---|---|---|---|---|---|---|---|---|
| Coded | J | O | T | U | K | W | X | W | H |
| Shift | +1 | +1 | +1 | +1 | +2 | +3 | +3 | +2 | +3 |
- Pattern of shifts: Notice the individual letter shifts are not constant throughout the word. The first four letters have a consistent shift of +1, followed by variable shifts.
- The shifting pattern changes beyond the fourth letter, suggesting a specific rule starting from the fifth letter.
Let’s examine the second example for consistency:
'OPPRESSOR' is written as 'PQQSGVVRU'.
- Check the shift pattern:
| Original | O | P | P | R | E | S | S | O | R |
|---|---|---|---|---|---|---|---|---|---|
| Coded | P | Q | Q | S | G | V | V | R | U |
| Shift | +1 | +1 | +1 | +1 | +2 | +3 | +3 | +3 | +3 |
- Determine the rule: Again, we see the first four letters shifted by +1, with a different pattern starting afterward.
Now, using this pattern to encode 'TRANSFORM':
- Apply the known shifts:
| Original | T | R | A | N | S | F | O | R | M |
|---|---|---|---|---|---|---|---|---|---|
| Shifted | U | S | B | O | U | I | R | U | P |
| Shift Values | +1 | +1 | +1 | +1 | +2 | +3 | +3 | +3 | +3 |
Thus, 'TRANSFORM' is coded as 'USBOUIRUP'.
Conclusion: The correct option is 'USBOUIRUP'.
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