Decoding the Letter Code Pattern
This problem involves a coding language where words are transformed based on a specific rule. We need to figure out this rule by analyzing the given examples, 'PAPER' becoming 'RCSHT' and 'PRIDE' becoming 'RTLGG'. Once we understand the pattern, we can apply it to the word 'RADIO'.
Analyzing the Transformation Rule
Let's examine the first example: 'PAPER' to 'RCSHT'. We can look at the position of each letter in the alphabet (A=1, B=2, ..., Z=26) and see how it changes.
| Original Letter | Position | Coded Letter | Position | Change |
|---|---|---|---|---|
| P | 16 | R | 18 | +2 (18 - 16) |
| A | 1 | C | 3 | +2 (3 - 1) |
| P | 16 | S | 19 | +3 (19 - 16) |
| E | 5 | H | 8 | +3 (8 - 5) |
| R | 18 | T | 20 | +2 (20 - 18) |
The pattern observed is: add 2, add 2, add 3, add 3, add 2 to the position of each letter.
Now, let's verify this pattern with the second example: 'PRIDE' to 'RTLGG'.
| Original Letter | Position | Coded Letter | Position | Change |
|---|---|---|---|---|
| P | 16 | R | 18 | +2 (18 - 16) |
| R | 18 | T | 20 | +2 (20 - 18) |
| I | 9 | L | 12 | +3 (12 - 9) |
| D | 4 | G | 7 | +3 (7 - 4) |
| E | 5 | G | 7 | +2 (7 - 5) |
The pattern (+2, +2, +3, +3, +2) is consistent across both examples. This confirms the rule we need to apply.
Applying the Pattern to 'RADIO'
We will now apply the identified coding pattern (+2, +2, +3, +3, +2) to the word 'RADIO'.
- R: The position is 18. Applying +2 gives $18 + 2 = 20$. The 20th letter is 'T'.
- A: The position is 1. Applying +2 gives $1 + 2 = 3$. The 3rd letter is 'C'.
- D: The position is 4. Applying +3 gives $4 + 3 = 7$. The 7th letter is 'G'.
- I: The position is 9. Applying +3 gives $9 + 3 = 12$. The 12th letter is 'L'.
- O: The position is 15. Applying +2 gives $15 + 2 = 17$. The 17th letter is 'Q'.
Following these steps, the word 'RADIO' is coded as 'TCGLQ'.
Final Coded Word
The word 'RADIO' translates to 'TCGLQ' using the discovered coding pattern. This matches one of the provided options.
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Important Questions from Coding decoding
The letters from A to Z are numbered from 1 to 26 respectively. If GHI = 1578 and DEF = 912, then what is ABC equal to?
What is the missing term in the following? ACPQ : BESU:: MNGI: @
what is the largest number among the following?
What is the greatest length x such that 3 ½ m and 8 ¾ m are integral multiples of x?
In a certain code, '256' means 'red colour chalk', '589' means 'green colour flower' and '254' means 'white colour chalk'. The digit in the code that indicates `white' is
