In a certain code language, 'BRANCH' is coded as DUCQEK and 'CARBON' is coded as EDTEQQ. How will 'DRIVEN' be coded in that language?
FUKYGQ
Understanding the Coding Pattern
This is a coding and decoding question where words are coded based on a specific pattern applied to each letter. We need to identify the pattern used to transform 'BRANCH' into 'DUCQEK' and 'CARBON' into 'EDTEQQ', and then apply the same pattern to 'DRIVEN'.
Analyzing the First Example: BRANCH to DUCQEK
Let's look at the transformation of each letter from 'BRANCH' to 'DUCQEK' based on its position in the alphabet:
| Original Letter | Alphabet Position | Coded Letter | Alphabet Position | Shift |
|---|---|---|---|---|
| B | 2 | D | 4 | $+2$ |
| R | 18 | U | 21 | $+3$ |
| A | 1 | C | 3 | $+2$ |
| N | 14 | Q | 17 | $+3$ |
| C | 3 | E | 5 | $+2$ |
| H | 8 | K | 11 | $+3$ |
The pattern observed is a shift of +2, +3, +2, +3, and so on, applied alternately to the letters.
Analyzing the Second Example: CARBON to EDTEQQ
Let's verify this pattern with the second example, 'CARBON' to 'EDTEQQ':
| Original Letter | Alphabet Position | Coded Letter | Alphabet Position | Shift |
|---|---|---|---|---|
| C | 3 | E | 5 | $+2$ |
| A | 1 | D | 4 | $+3$ |
| R | 18 | T | 20 | $+2$ |
| B | 2 | E | 5 | $+3$ |
| O | 15 | Q | 17 | $+2$ |
| N | 14 | Q | 17 | $+3$ |
The pattern holds true: +2, +3, +2, +3, +2, +3.
Applying the Pattern to DRIVEN
Now we apply the same alternate +2, +3 shift pattern to the letters in 'DRIVEN':
| Original Letter | Alphabet Position | Shift | New Position | Coded Letter |
|---|---|---|---|---|
| D | 4 | $+2$ | $4+2=6$ | F |
| R | 18 | $+3$ | $18+3=21$ | U |
| I | 9 | $+2$ | $9+2=11$ | K |
| V | 22 | $+3$ | $22+3=25$ | Y |
| E | 5 | $+2$ | $5+2=7$ | G |
| N | 14 | $+3$ | $14+3=17$ | Q |
Applying the pattern (+2, +3, +2, +3, +2, +3) to DRIVEN gives us:
- D $\xrightarrow{+2}$ F
- R $\xrightarrow{+3}$ U
- I $\xrightarrow{+2}$ K
- V $\xrightarrow{+3}$ Y
- E $\xrightarrow{+2}$ G
- N $\xrightarrow{+3}$ Q
Therefore, 'DRIVEN' will be coded as 'FUKYGQ'.
Important Questions from Coding and Decoding By Letter Shifting
In a certain code language, 'INERTIA' is written as 'RGVKGBZ'. How will 'FLOWER' be written in that language?
In a certain code language, ‘ADVANCE’ is written as ‘VDAAECN’ and ‘BABYSIT’ is written as ‘BABYTIS’. How will ‘AFFABLE’ be written in that language?
In a certain language, CHHAPAK is coded as DJKEUGR. How will MALANGA be coded in that language?
In a certain code language, ‘DURABLES’ is written as ‘BSVETFMC’. How will ‘FEASIBLE’ be written in that language?
In a certain code language, 'FIXED' is written as 'XIFED' and 'MOUSE' is written as 'USOME'. How will 'GAMBIT' be written in that language?
