If PAINT is coded as 74128 and EXCEL is coded as 93596 then how would you…
2024
If PAINT is coded as 74128 and EXCEL is coded as 93596 then how would you decode ACCEPT ?
- A.
455978
- B.
547978
- C.
554978
- D.
455987
Attempted by 3712 students.
Show answer & explanation
Correct answer: A
Concept
In a letter-to-number substitution cipher, each distinct letter is consistently replaced by a fixed digit. To decode a new word, first build the letter to digit map from the given coded words, then apply that same map to every letter of the target word in order.
Application
Read the two given codes letter by letter to recover the map:
Letter | A | C | E | I | L | N | P | T | X |
|---|---|---|---|---|---|---|---|---|---|
Digit | 4 | 5 | 9 | 1 | 6 | 2 | 7 | 8 | 3 |
From PAINT = 74128 we get P=7, A=4, I=1, N=2, T=8. From EXCEL = 93596 we get E=9, X=3, C=5, E=9, L=6.
Now substitute each letter of ACCEPT using the map:
A -> 4
C -> 5
C -> 5
E -> 9
P -> 7
T -> 8
Reading the digits in order gives 455978.
Cross-check
The letter E repeats in EXCEL and maps to 9 both times, and the repeated C in ACCEPT maps to 5 both times, so the substitution stays consistent. Re-encoding 455978 back through the map returns A-C-C-E-P-T, confirming the result.