In a certain code language, 'STOPER' is written as 'XNTJJL' and 'GANOPY' is written as 'LUSIUS'. How will 'FITAND' be written in that language?
KCYUSX
The question asks us to decode a word based on a specific code language where 'STOPER' becomes 'XNTJJL' and 'GANOPY' becomes 'LUSIUS'. We need to find the pattern of transformation from the original word to the coded word.
Let's look at the letter positions in the English alphabet (A=1, B=2, ..., Z=26) to find the rule.
| Original Letter | Position | Coded Letter | Position | Transformation |
|---|---|---|---|---|
| S | $$19$$ | X | $$24$$ | $$24 - 19 = +5$$ |
| T | $$20$$ | N | $$14$$ | $$14 - 20 = -6$$ |
| O | $$15$$ | T | $$20$$ | $$20 - 15 = +5$$ |
| P | $$16$$ | J | $$10$$ | $$10 - 16 = -6$$ |
| E | $$5$$ | J | $$10$$ | $$10 - 5 = +5$$ |
| R | $$18$$ | L | $$12$$ | $$12 - 18 = -6$$ |
The pattern for 'STOPER' appears to be a sequence of $+5, -6, +5, -6, +5, -6$ applied to the letter positions.
Let's check if the same $+5, -6$ pattern holds for 'GANOPY'. When subtracting, if the result is less than 1, we can wrap around from Z (26). For example, A is 1 or 27.
| Original Letter | Position | Coded Letter | Position | Transformation | Notes |
|---|---|---|---|---|---|
| G | $$7$$ | L | $$12$$ | $$12 - 7 = +5$$ | Matches $+5$ |
| A | $$1$$ | U | $$21$$ | $$1 - 6 = -5$$ | Consider A as 27: $$27 - 6 = 21$$. Matches $-6$ |
| N | $$14$$ | S | $$19$$ | $$19 - 14 = +5$$ | Matches $+5$ |
| O | $$15$$ | I | $$9$$ | $$9 - 15 = -6$$ | Matches $-6$ |
| P | $$16$$ | U | $$21$$ | $$21 - 16 = +5$$ | Matches $+5$ |
| Y | $$25$$ | S | $$19$$ | $$19 - 25 = -6$$ | Matches $-6$ |
The pattern $+5, -6$ with wrap-around indeed holds for 'GANOPY' as well. This confirms our coding language logic.
Now we apply the $+5, -6, +5, -6, +5, -6$ pattern to the word 'FITAND'.
Combining the resulting letters, we get KCYUSX.
Let's check which option matches our result:
Our encoded word 'KCYUSX' matches Option 3.
| Original Word | Code | Pattern Applied |
|---|---|---|
| STOPER | XNTJJL | $+5, -6, +5, -6, +5, -6$ |
| GANOPY | LUSIUS | $+5, -6, +5, -6, +5, -6$ |
| FITAND | KCYUSX | $+5, -6, +5, -6, +5, -6$ |
Letter coding is a common type of question in reasoning sections of competitive exams. It involves replacing each letter of a word with another letter according to a specific rule or pattern. These patterns can be based on:
Solving these problems requires careful observation of the given examples to identify the underlying rule or pattern before applying it to the new word.
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