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Wednesday, April 16, 2025

If M = 14, CAT = 57 then GLASS = ?

If M = 14, CAT = 57 then GLASS = ?
A73
B51
C56
D77

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:

  1. 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.

  2. 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)

     

  3. 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: \(\boxed{77}\)

Akhilesh
answered Apr 18 '25 at 11:53

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