If M = 14, CAT = 57 then GLASS = ?
If M = 14, CAT = 57 then GLASS = ?
A73
B51
C56
D77
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Correct Answer: \(\boxed{77}\)
Explanation:
The problem involves determining the numerical value of the word "GLASS" based on a specific letter-to-number encoding pattern. Here's how the solution is derived:
Steps:
Understand the encoding pattern using the given examples:
- \( M = 14 \)
- \( CAT = 57 \)The pattern is determined by reversing the alphabet (A=26, B=25, ..., Z=1). Each letter's value is its position from the end of the alphabet.
Verify the pattern with the given examples:
- \( C = 24 \), \( A = 26 \), \( T = 7 \)
- \( C + A + T = 24 + 26 + 7 = 57 \)
- \( M = 14 \) (since M is the 14th letter from the end)
Apply the pattern to calculate "GLASS":
- \( G = 20 \)
- \( L = 15 \)
- \( A = 26 \)
- \( S = 8 \)
- \( S = 8 \)
- \( G + L + A + S + S = 20 + 15 + 26 + 8 + 8 = 77 \)
Final Answer: \(\boxed{77}\)
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