In a certain code language, ‘MADRAS’ is written as ‘112’ and ‘JAMMU’ is written as ‘82’. How will ‘PUNJAB’ be written in that language?

Use the logic:

Sum of Positional Values of Reverse Positional Letters + Number of letters in the given word = Code.

Question

In a certain code language, ‘MADRAS’ is written as ‘112’ and ‘JAMMU’ is written as ‘82’. How will ‘PUNJAB’ be written in that language?

Use the logic:

Sum of Positional Values of Reverse Positional Letters + Number of letters in the given word = Code.

Accepted Answer

**Solution:**

1. Understand the logic:
   - Each letter's reverse positional letter is found by subtracting its position from 27 (since A=1 and Z=26, reverse of A is Z, reverse of B is Y, etc.).
   - Sum the positional values of these reverse letters.
   - Add the number of letters in the word to this sum to get the code.

2. Calculate for 'PUNJAB':

| Letter | Position | Reverse Letter Position | Reverse Letter | Value |
|--------|----------|-------------------------|----------------|-------|
| P      | 16       | 27 - 16 = 11            | K              | 11    |
| U      | 21       | 27 - 21 = 6             | F              | 6     |
| N      | 14       | 27 - 14 = 13            | M              | 13    |
| J      | 10       | 27 - 10 = 17            | Q              | 17    |
| A      | 1        | 27 - 1 = 26             | Z              | 26    |
| B      | 2        | 27 - 2 = 25             | Y              | 25    |

3. Sum of reverse positional values:
   $$11 + 6 + 13 + 17 + 26 + 25 = 98$$

4. Number of letters in 'PUNJAB' = 6

5. Code = Sum + Number of letters = $$98 + 6 = 104$$

**Answer:** 104

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