If SMALL is coded as 75, CLAY is coded as 14, then CRIME is coded as:
2024
If SMALL is coded as 75, CLAY is coded as 14, then CRIME is coded as:
- A.
84
- B.
48
- C.
56
- D.
42
Attempted by 2 students.
Show answer & explanation
Correct answer: A
Concept: In this letter-to-number coding pattern, each letter of a word is first replaced by its position in the English alphabet (A = 1, B = 2, ... Z = 26). The position values are added together, and the digits of that total are then reversed to form the word's numeric code.
Confirm the rule on SMALL: S = 19, M = 13, A = 1, L = 12, L = 12; their sum is 19 + 13 + 1 + 12 + 12 = 57, and reversing the digits of 57 gives 75 - the code given for SMALL.
Confirm the rule on CLAY: C = 3, L = 12, A = 1, Y = 25; their sum is 3 + 12 + 1 + 25 = 41, and reversing the digits of 41 gives 14 - the code given for CLAY.
Apply the same rule to CRIME: C = 3, R = 18, I = 9, M = 13, E = 5; their sum is 3 + 18 + 9 + 13 + 5 = 48.
Reverse the digits of 48 to get the code for CRIME: 84.
Cross-check by re-adding the position values in a different grouping: (3 + 18) + (9 + 13) + 5 = 21 + 22 + 5 = 48 - the same total, confirming that reversing its digits to 84 is correct.
