Decode the words and numbers using the letter-to-digit mapping from MANCHESTER: 5162438937.

Here are the solutions to the questions based on the provided information:

First, let's establish the mapping between the letters in "MANCHESTER" and the digits in "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:

Question 1: The number 51924 represents the word

• 5 = M
• 1 = A
• 9 = T
• 2 = C
• 4 = H Combining these, 51924 represents MATCH.
• C. MATCH.

Question 2: Which word represents the number 24319?

• 2 = C
• 4 = H
• 3 = E
• 1 = A
• 9 = T Combining these, 24319 represents CHEAT.
• C. CHEAT.

Question 3: The word represented by the digits 43179 is

• 4 = H
• 3 = E
• 1 = A
• 7 = R
• 9 = T Combining these, 43179 represents HEART.
• D. HEART.

Question 4: The number which represents the word REST is

• R = 7
• E = 3
• S = 8
• T = 9 Combining these, REST represents 7389.
• A. 7389.

Question 5: Which number represents the word NEAR?

• N = 6
• E = 3
• A = 1
• R = 7 Combining these, NEAR represents 6317.
• D. 6317.

Question 6: The word STAR is formed by the digits

• S = 8
• T = 9
• A = 1
• R = 7 Combining these, STAR is formed by 8917.
• B. 8917.