If MEDICINE is coded EOJDJEFM, then how is COMPUTER coded?
RFUVQNPC
This is a coding-decoding question where a specific pattern is used to code a word. We need to identify this pattern by looking at the relationship between the original word MEDICINE and its coded form EOJDJEFM.
Understanding the Coding Decoding Pattern
Let's examine the letters of the original word MEDICINE and its coded word EOJDJEFM. Both words have 8 letters.
Let the original word be represented by its letters in sequence: $O_1 O_2 O_3 O_4 O_5 O_6 O_7 O_8$.
Let the coded word be represented by its letters in sequence: $C_1 C_2 C_3 C_4 C_5 C_6 C_7 C_8$.
Original word: M E D I C I N E
Coded word: E O J D J E F M
By comparing the positions and letters, we can deduce the pattern:
- The first letter of the coded word ($C_1$) is the same as the last letter of the original word ($O_8$).
- The second letter of the coded word ($C_2$) is the letter that comes alphabetically after the second-to-last letter of the original word ($O_7$). This is a $+1$ alphabetical shift ($O_7 + 1$).
- This $+1$ shift rule continues for the letters $O_6, O_5, O_4, O_3, O_2$, which form $C_3, C_4, C_5, C_6, C_7$ respectively.
- The last letter of the coded word ($C_8$) is the same as the first letter of the original word ($O_1$).
So, the pattern involves taking the letters of the original word in reverse order and applying a $+1$ shift to all letters except the first and last ones of the original word.
Summary of the pattern:
| Coded Word Position | Derived From Original Word Position | Rule |
|---|---|---|
| $C_1$ | $O_8$ | Same letter |
| $C_2$ | $O_7$ | $+1$ Shift |
| $C_3$ | $O_6$ | $+1$ Shift |
| $C_4$ | $O_5$ | $+1$ Shift |
| $C_5$ | $O_4$ | $+1$ Shift |
| $C_6$ | $O_3$ | $+1$ Shift |
| $C_7$ | $O_2$ | $+1$ Shift |
| $C_8$ | $O_1$ | Same letter |
Applying the Code Pattern to MEDICINE
Let's verify this pattern using the given example, MEDICINE (M E D I C I N E), where $O_1=M, O_2=E, O_3=D, O_4=I, O_5=C, O_6=I, O_7=N, O_8=E$.
| Original Letter ($O_n$) | Original Position | Rule Applied | Calculated Coded Letter ($C_n$) | Coded Word Position |
|---|---|---|---|---|
| E | $O_8$ | Same letter | E | $C_1$ |
| N | $O_7$ | N + 1 = O | O | $C_2$ |
| I | $O_6$ | I + 1 = J | J | $C_3$ |
| C | $O_5$ | C + 1 = D | D | $C_4$ |
| I | $O_4$ | I + 1 = J | J | $C_5$ |
| D | $O_3$ | D + 1 = E | E | $C_6$ |
| E | $O_2$ | E + 1 = F | F | $C_7$ |
| M | $O_1$ | Same letter | M | $C_8$ |
Reading the calculated coded letters in order ($C_1$ to $C_8$), we get E O J D J E F M, which matches the given code for MEDICINE.
Finding the Code for COMPUTER
Now we apply the same pattern to the word COMPUTER (C O M P U T E R).
Original word: C O M P U T E R
Original positions: $O_1=C, O_2=O, O_3=M, O_4=P, O_5=U, O_6=T, O_7=E, O_8=R$.
Applying the pattern to find the coded word ($C_1 C_2 C_3 C_4 C_5 C_6 C_7 C_8$):
| Original Letter ($O_n$) | Original Position | Rule Applied | Calculated Coded Letter ($C_n$) | Coded Word Position |
|---|---|---|---|---|
| R | $O_8$ | Same letter | R | $C_1$ |
| E | $O_7$ | E + 1 = F | F | $C_2$ |
| T | $O_6$ | T + 1 = U | U | $C_3$ |
| U | $O_5$ | U + 1 = V | V | $C_4$ |
| P | $O_4$ | P + 1 = Q | Q | $C_5$ |
| M | $O_3$ | M + 1 = N | N | $C_6$ |
| O | $O_2$ | O + 1 = P | P | $C_7$ |
| C | $O_1$ | Same letter | C | $C_8$ |
Final Coded Word for COMPUTER
Arranging the calculated coded letters from $C_1$ to $C_8$ gives the coded word for COMPUTER.
The coded word is R F U V Q N P C.
Thus, the code for COMPUTER is RFUVQNPC.
Comparing this result with the given options, we find that RFUVQNPC is the correct code.
Important Questions from Coding Letters of a Word
If JACKAL is coded as 11-2-4-12-2-13, then what is the code for TIGER?
If TEACHER is coded as CAHEETR and STUDENT is coded as DUETNST, then what is the code for SUCCESS?
If SEAT is coded as 4321 and STORM is coded as 41675, then MASTER would be coded as:
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In a certain code language, ‘HAPPY’ is written as ‘JCRRA’ and ‘MAGIC’ is written as ‘OCIKE’. How will ‘LEVEL’ be written in that language?
