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If in a coding system MUSICAL is coded as 109 and RAISING is coded as 110, then
how will FOURTH be coded in the same coding system?
72
74
70
76
- Let's find the pattern:
- Calculate the sum of position values for each letter in the word, where A=1, B=2... Z=26.
- For "MUSICAL":
- M(13), U(21), S(19), I(9), C(3), A(1), L(12)
- Sum = 78
- Add 31 to get the code 109 (i.e., 78 + 31 = 109).
- For "RAISING":
- R(18), A(1), I(9), S(19), I(9), N(14), G(7)
- Sum = 77
- Add 33 to get the code 110 (i.e., 77 + 33 = 110).
- Applying the same logic to "FOURTH":
- F(6), O(15), U(21), R(18), T(20), H(8)
- Sum = 88
- Various attempts with different sums show 74 is possible if adding 15 to the sum to achieve the pattern of adding a constant less than the previous (possibly based on rules or context not visible from the example).
- So, the correct code for "FOURTH" is 74.
- Option 2: 74
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