In a certain code language, 'STOPER' is written as 'XNTJJL' and 'GANOPY' is written as 'LUSIUS'. How will 'FITAND' be written in that language?
This question involves decoding a pattern in a certain code language. We are given two examples of words and their coded forms: 'STOPER' is coded as 'XNTJJL', and 'GANOPY' is coded as 'LUSIUS'. We need to find the code for 'FITAND' using the same pattern.
Let's analyze the pattern by comparing the letters in the original words and their coded forms based on their positions in the English alphabet (A=1, B=2, ... Z=26).
| Original Word | Position | Coded Word | Position | Difference/Pattern |
|---|---|---|---|---|
| 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 | $12 - 18 = -6$ |
From the analysis of 'STOPER', the pattern of difference in letter positions is consistently $+5, -6, +5, -6, +5, -6$.
Let's apply the supposed pattern ($+5, -6, +5, -6, +5, -6$) to 'GANOPY' and see if it matches 'LUSIUS'. Remember that the alphabet wraps around (e.g., moving 6 steps back from 'A' goes to 'U').
| Original Word | Position | Pattern | Calculated Position | Coded Letter | Actual Coded Letter |
|---|---|---|---|---|---|
| G | 7 | $+5$ | $7 + 5 = 12$ | L | L |
| A | 1 | $-6$ | $1 - 6 = -5$. Cyclically, $26 + (-5) = 21$ | U | U |
| N | 14 | $+5$ | $14 + 5 = 19$ | S | S |
| O | 15 | $-6$ | $15 - 6 = 9$ | I | I |
| P | 16 | $+5$ | $16 + 5 = 21$ | U | U |
| Y | 25 | $-6$ | $25 - 6 = 19$ | S | S |
The pattern $+5, -6, +5, -6, +5, -6$ successfully codes 'GANOPY' as 'LUSIUS'. The pattern is confirmed.
Now, we will apply the established pattern ($+5, -6, +5, -6, +5, -6$) to the word 'FITAND'.
| Original Word | Position | Pattern | Calculated Position | Coded Letter |
|---|---|---|---|---|
| F | 6 | $+5$ | $6 + 5 = 11$ | K |
| I | 9 | $-6$ | $9 - 6 = 3$ | C |
| T | 20 | $+5$ | $20 + 5 = 25$ | Y |
| A | 1 | $-6$ | $1 - 6 = -5$. Cyclically, $26 + (-5) = 21$ | U |
| N | 14 | $+5$ | $14 + 5 = 19$ | S |
| D | 4 | $-6$ | $4 - 6 = -2$. Cyclically, $26 + (-2) = 24$ | X |
Following the pattern, 'FITAND' is coded as 'KCYUSX'.
Let's compare our derived code 'KCYUSX' with the given options:
Our coded word 'KCYUSX' matches Option 3.
| Position in Word | Pattern |
|---|---|
| 1st Letter | $+5$ |
| 2nd Letter | $-6$ |
| 3rd Letter | $+5$ |
| 4th Letter | $-6$ |
| 5th Letter | $+5$ |
| 6th Letter | $-6$ |
Coding-decoding questions are common in logical reasoning sections of exams. They test your ability to identify patterns in letter or number sequences. Some common types include:
To solve these problems, always look for consistent patterns like shifting positions in the alphabet, reversing the order of letters, or specific substitutions based on the position of the letter or its type (vowel/consonant).
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