In a certain coding scheme, ‘DELHI’ is coded as 5613910. How is ‘MUMBAI’ coded…

Concept

In alphabet-position coding, each letter is replaced by a number obtained from its position, where A = 1 and Z = 26. The example determines any fixed shift; the same shift is applied to every letter of the new word.

Application

1. Split the code for DELHI as 5 | 6 | 13 | 9 | 10 and compare it with D = 4, E = 5, L = 12, H = 8, I = 9. Each code number is the letter’s alphabet position plus 1.

2. The alphabet positions in MUMBAI are M = 13, U = 21, M = 13, B = 2, A = 1, I = 9.

3. Add 1 to each position to get 14, 22, 14, 3, 2, 10. Concatenating them in the same order gives 1422143210.

Cross-check

Subtracting 1 from 14, 22, 14, 3, 2, 10 gives 13, 21, 13, 2, 1, 9, which maps back to MUMBAI.

Therefore, MUMBAI is coded as 1422143210.