If 4820548 represent ESCAPES, which word is represented by 1022834?
2025
If 4820548 represent ESCAPES, which word is represented by 1022834?
- A.
ECCCPSE
- B.
VACAPES
- C.
VACCINE
- D.
VACCATE
Attempted by 2 students.
Show answer & explanation
Correct answer: C
Concept: Each letter is coded by a single digit obtained by taking the letter's position in the English alphabet (A = 1, B = 2, ..., Z = 26), subtracting 1 from that position, and then taking the units digit of the result. Because several letters can share the same resulting digit, this coding is many-to-one — reversing a digit back to a single letter is not automatic. The dependable way to decode a number into a specific word (especially in an MCQ with fixed options) is to run the same rule forward on each candidate word and check which one reproduces the given digit sequence exactly.
Application:
E is the 5th letter; the units digit of 5 is 5; 5 minus 1 is 4, so E maps to 4.
S is the 19th letter; the units digit of 19 is 9; 9 minus 1 is 8, so S maps to 8.
C is the 3rd letter; the units digit of 3 is 3; 3 minus 1 is 2, so C maps to 2.
A is the 1st letter; the units digit of 1 is 1; 1 minus 1 is 0, so A maps to 0.
P is the 16th letter; the units digit of 16 is 6; 6 minus 1 is 5, so P maps to 5.
This gives E-S-C-A-P-E-S as 4-8-2-0-5-4-8, which matches the given code 4820548 exactly, confirming the rule.
Because several letters can share the same units digit (for example, a code of 1 could come from B, L, or V, since their positions 2, 12, and 22 all end in the digit that produces code 1), reverse-decoding a digit sequence directly is not unique. The reliable way to identify the intended word among the four options is therefore to encode each option forward through the same rule and check which one reproduces 1022834 exactly.
Encoding VACCINE (V-A-C-C-I-N-E) letter by letter: V is the 22nd letter (units digit 2, code 1); A is the 1st letter (units digit 1, code 0); C is the 3rd letter (units digit 3, code 2), for both C's; I is the 9th letter (units digit 9, code 8); N is the 14th letter (units digit 4, code 3); E is the 5th letter (units digit 5, code 4). This gives the sequence 1-0-2-2-8-3-4, i.e., 1022834 — an exact match.
Cross-check:
Encoding the other three options the same way does not reproduce 1022834 — each diverges from the target digit sequence at some position — so VACCINE is the only option consistent with the given code.
Answer: VACCINE is represented by 1022834.