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If ZOOM is coded as 13, then how PUSA will be coded as

Question

If ZOOM is coded as 13, then how PUSA will be coded as

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Solution

The coding for ZOOM is 13. If we look at the alphabetic order, Z is the 26th letter, O is the 15th, M is the 13th. If we add these together we get 26+15+15+13 = 69. But the code given is 13. This suggests that we are taking the sum of the positions of the letters and then taking the sum of the digits of the result until we get a single digit. So, 6+9 = 15, and 1+5 = 6. But the code is 13, not 6. This suggests that we are also adding the number of letters in the word to the final sum. So, 6 (sum of digits) + 4 (number of letters in ZOOM) = 10. But the code is 13, not 10. This suggests that we are also adding the number of vowels in the word to the final sum. So, 10 (previous sum) + 2 (number of vowels in ZOOM) + 1 (for the first letter being a consonant) = 13.

Now, let's apply this to PUSA. P is the 16th letter, U is the 21st, S is the 19th, A is the 1st. If we add these together we get 16+21+19+1 = 57. Then we take the sum of the digits: 5+7 = 12. Then we add the number of letters in PUSA, which is 4. So, 12+4 = 16. Then we add the number of vowels in PUSA, which is 2. So, 16+2 = 18. Finally, we add 1 because the first letter is a consonant. So, 18+1 = 19. Therefore, PUSA would be coded as 19.

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