If SOLID is coded WKQDJ, then how is LIQUID coded?
PEVPOX
Understanding the Letter Coding Pattern
This question involves letter coding, where letters of a word are replaced by other letters following a specific rule or pattern. We are given that the word SOLID is coded as WKQDJ. We need to find the pattern used in this transformation and then apply it to the word LIQUID to find its code.
Analyzing the SOLID to WKQDJ Coding
Let's look at the positional value of each letter in the alphabet (A=1, B=2, ..., Z=26) and find the difference or shift between the letters in SOLID and their corresponding letters in WKQDJ.
| SOLID | Position | WKQDJ | Position | Shift |
|---|---|---|---|---|
| S | 19 | W | 23 | $23 - 19 = +4$ |
| O | 15 | K | 11 | $11 - 15 = -4$ |
| L | 12 | Q | 17 | $17 - 12 = +5$ |
| I | 9 | D | 4 | $4 - 9 = -5$ |
| D | 4 | J | 10 | $10 - 4 = +6$ |
From the analysis, we can see a pattern in the shifts applied to each letter:
- The shift starts at +4.
- The sign of the shift alternates: +4, -4, +5, -5, +6.
- The magnitude of the shift increases by 1 for every two letters. The sequence of magnitudes is 4, 4, 5, 5, 6, 6, and so on.
- The signs alternate + and -: +4, -4, +5, -5, +6, -6, +7, -7, ...
So, the pattern of shifts is +4, -4, +5, -5, +6, -6, +7, -7, ... for the 1st, 2nd, 3rd, 4th, 5th, 6th, 7th, 8th letters and so on.
Applying the Pattern to Code LIQUID
The word LIQUID has 6 letters. We will apply the first six shifts from our derived pattern (+4, -4, +5, -5, +6, -6) to each letter of LIQUID.
| LIQUID | Position | Shift Pattern | New Position | Coded Letter |
|---|---|---|---|---|
| L | 12 | $+4$ | $12 + 4 = 16$ | P |
| I | 9 | $-4$ | $9 - 4 = 5$ | E |
| Q | 17 | $+5$ | $17 + 5 = 22$ | V |
| U | 21 | $-5$ | $21 - 5 = 16$ | P |
| I | 9 | $+6$ | $9 + 6 = 15$ | O |
| D | 4 | $-6$ | $4 - 6 = -2$. Wrapping around the alphabet (A=1, Z=26): $4 - 6 + 26 = 24$ | X |
Applying the pattern +4, -4, +5, -5, +6, -6 to the letters L, I, Q, U, I, D respectively gives us the coded letters P, E, V, P, O, X.
Therefore, LIQUID is coded as PEVPOX.
Important Questions from Coding Letters of a Word
In a certain code language, 'RAKHI' is coded as 36 - 2 - 22 - 16 - 18 and 'SHALU' is coded as 38 - 16 - 2 - 24 - 42. How will 'MANJU' be coded in that language?
- In a certain code language, ‘FILE’ is coded as 8357 and ‘SINK’ is coded as 9364. How will ‘NIKE’ be coded in that language?
In a code language, if PEN is written as 17717, then how will CAP be written in the same language?
In a certain code language, 'GANGA' is coded as 21-3-42-21-3 and 'KOSHI' is coded as 33-45-57-24-27. How will 'GOMTI' be coded in that language?
In a certain code language, 'LOAD' is coded as '27241613' and 'CLEAN' is coded as '2725231614'. How will 'STRIKE' be coded in that language?
