This computer science problem involves algorithmic thinking and programming concepts. The solution below explains the approach, logic, and implementation step by step.

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Answer
C. MATCH
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: Step 1: Decode each digit using the mapping. Step 2: Combine the letters. The word is MATCH. The correct option is C.
2. Which word represents the number 24319? Step 1: Decode each digit using the mapping. Step 2: Combine the letters. The word is CHEAT. The correct option is C.
3. The word represented by the digits 43179 is: Step 1: Decode each digit using the mapping. Step 2: Combine the letters. The word is HEART. The correct option is D.
4. The number which represents the word REST is: Step 1: Encode each letter using the mapping. Step 2: Combine the digits. The number is 7389. The correct option is A.
5. Which number represents the word NEAR? Step 1: Encode each letter using the mapping. Step 2: Combine the digits. The number is 6317. The correct option is D.
6. The word STAR is formed by the digits: Step 1: Encode each letter using the mapping. Step 2: Combine the digits. The number is 8917. The correct option is B.
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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.
This computer science problem involves algorithmic thinking and programming concepts. The solution below explains the approach, logic, and implementation step by step.