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Given the word MANCHESTER and the number 5162438937, solve the following coding problems.

Computer Science

ScanSolve AI Answer

Answer

C

Step-by-step solution

12 steps

Here's how to solve these coding problems:

First, let's establish the letter-to-digit mapping from the word MANCHESTER and the number 5162438937:
M = 5
A = 1
N = 6
C = 2
H = 4
E = 3
S = 8
T = 9
R = 7

Now, let's solve each question.

1. The number 51924 represents the word:

  1. Decode each digit using the mapping.

    5→M5 \to \text{M} 1→A1 \to \text{A} 9→T9 \to \text{T} 2→C2 \to \text{C} 4→H4 \to \text{H}
  2. Combine the letters.

    The word is MATCH.
    The correct option is C.

    C. MATCH\boxed{\text{C. MATCH}}

    2. Which word represents the number 24319?

  3. Decode each digit using the mapping.

    2→C2 \to \text{C} 4→H4 \to \text{H} 3→E3 \to \text{E} 1→A1 \to \text{A} 9→T9 \to \text{T}
  4. Combine the letters.

    The word is CHEAT.
    The correct option is C.

    C. CHEAT\boxed{\text{C. CHEAT}}

    3. The word represented by the digits 43179 is:

  5. Decode each digit using the mapping.

    4→H4 \to \text{H} 3→E3 \to \text{E} 1→A1 \to \text{A} 7→R7 \to \text{R} 9→T9 \to \text{T}
  6. Combine the letters.

    The word is HEART.
    The correct option is D.

    D. HEART\boxed{\text{D. HEART}}

    4. The number which represents the word REST is:

  7. Encode each letter using the mapping.

    R→7\text{R} \to 7 E→3\text{E} \to 3 S→8\text{S} \to 8 T→9\text{T} \to 9
  8. Combine the digits.

    The number is 7389.
    The correct option is A.

    A. 7389\boxed{\text{A. 7389}}

    5. Which number represents the word NEAR?

  9. Encode each letter using the mapping.

    N→6\text{N} \to 6 E→3\text{E} \to 3 A→1\text{A} \to 1 R→7\text{R} \to 7
  10. Combine the digits.

    The number is 6317.
    The correct option is D.

    D. 6317\boxed{\text{D. 6317}}

    6. The word STAR is formed by the digits:

  11. Encode each letter using the mapping.

    S→8\text{S} \to 8 T→9\text{T} \to 9 A→1\text{A} \to 1 R→7\text{R} \to 7
  12. Combine the digits.

    The number is 8917.
    The correct option is B.

    B. 8917\boxed{\text{B. 8917}}
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