STAR Code Logic Explained

This question presents a coding puzzle where words are converted into numbers. We need to identify the pattern used for the given examples, SUN (coded as 54) and MOON (coded as 57), and then apply that pattern to find the code for STAR.

Decoding SUN

The pattern appears to be the sum of the alphabetical positions of the letters in the word.

• 'S' is the 19th letter of the alphabet.
• 'U' is the 21st letter of the alphabet.
• 'N' is the 14th letter of the alphabet.

Calculating the sum:

Using LaTeX notation for clarity:

$ \text{Sum for SUN} = \text{Position(S)} + \text{Position(U)} + \text{Position(N)} $

$ \text{Sum} = 19 + 21 + 14 = 54 $

This result matches the code given for SUN.

Decoding MOON

Let's verify this pattern with the word MOON.

• 'M' is the 13th letter.
• 'O' is the 15th letter.
• 'O' is the 15th letter.
• 'N' is the 14th letter.

Calculating the sum:

$ \text{Sum for MOON} = \text{Position(M)} + \text{Position(O)} + \text{Position(O)} + \text{Position(N)} $

$ \text{Sum} = 13 + 15 + 15 + 14 = 57 $

This result matches the code given for MOON, confirming the logic is summing the alphabetical positions.

Calculating STAR Code

Now, we apply the same confirmed logic to the word STAR.

• 'S' is the 19th letter.
• 'T' is the 20th letter.
• 'A' is the 1st letter.
• 'R' is the 18th letter.

Calculating the sum for STAR:

$ \text{Sum for STAR} = \text{Position(S)} + \text{Position(T)} + \text{Position(A)} + \text{Position(R)} $

$ \text{Sum} = 19 + 20 + 1 + 18 = 58 $

Final Answer Determination

By summing the alphabetical positions of the letters S, T, A, and R, we find the code for STAR is 58.