If the code for OCATVE is coded as 420914 then PRAISE is coded as
2024
If the code for OCATVE is coded as 420914 then PRAISE is coded as
- A.
429041
- B.
570884
- C.
570484
- D.
570448
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Correct answer: B
Concept: In this kind of letter-to-number coding, the 26 letters of the alphabet are split into three separate blocks, and each block is numbered independently starting from 0 - A-J (10 letters) get codes 0-9, K-T (10 letters) again get codes 0-9, and U-Z (6 letters) get codes 0-5. Because each block restarts its own numbering, the same digit can stand for a different letter depending on which block it falls in, so the block must always be identified before assigning a digit.
Split the alphabet into the three blocks A-J, K-T and U-Z, each numbered from 0 onward within its own block.
Check the rule against the given code for OCATVE = 420914: O is the 5th letter of the K-T block, so O = 4; C is the 3rd letter of the A-J block, so C = 2; A is the 1st letter of the A-J block, so A = 0; T is the 10th (last) letter of the K-T block, so T = 9; V is the 2nd letter of the U-Z block, so V = 1; E is the 5th letter of the A-J block, so E = 4. Reading these in order gives 4-2-0-9-1-4, which matches the given code and confirms the rule.
Apply the same block-position rule letter by letter to PRAISE: P is the 6th letter of the K-T block, so P = 5; R is the 8th letter of the K-T block, so R = 7; A is the 1st letter of the A-J block, so A = 0; I is the 9th letter of the A-J block, so I = 8; S is the 9th letter of the K-T block, so S = 8; E is the 5th letter of the A-J block, so E = 4.
Reading the digits in the same order as the letters of PRAISE gives 5-7-0-8-8-4, i.e. 570884.
Cross-check: an equivalent single formula for this scheme is digit = (alphabet position of the letter - 1) mod 10 - for example P is the 16th letter, (16-1) mod 10 = 5, and I is the 9th letter, (9-1) mod 10 = 8, both matching the block-position values above. Also, every block-position value used stays within its valid range (0-9 for the A-J and K-T blocks, 0-5 for the U-Z block), and the digit count (6) matches the letter count (6) in both OCATVE and PRAISE, confirming 570884 is correct.
