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In a certain code language, ‘DYO’ is coded as ‘44’ and ‘PDX’ is coded as ‘44’. What is the code for ‘ZMB’ in the given language?
52
56
48
41
41
Sum the positional values (A=1, B=2, ..., Z=26) and check for constants or specific arithmetic adjustments to reach the target sum.
Sum the positional values (A=1, B=2, ..., Z=26) and check for constants or specific arithmetic adjustments to reach the target sum.
Analyze DYO (4, 25, 15)
D=4, Y=25, O=15. Sum = 4 + 25 + 15 = 44. This matches the provided code.
Analyze PDX (16, 4, 24)
P=16, D=4, X=24. Sum = 16 + 4 + 24 = 44. This also matches the provided code.
Calculate ZMB
Z=26, M=13, B=2. Sum = 26 + 13 + 2 = 41.
A: 52 is incorrect because the sum of positional values 26+13+2 equals 41, not 52. B: 56 is incorrect because the arithmetic sum of the letters in ZMB does not reach 56. C: 48 is incorrect because the calculated sum for ZMB is 41, not 48.
D is correct because the code for each word is the direct sum of the positional values of its constituent letters (A=1, B=2...Z=26), and the sum of Z(26), M(13), and B(2) is 41.
In coding-decoding questions, always test the sum of letter values first if the result is a number. If the sum doesn't match, check for reverse positional values (27-n) or vowel-consonant logic.
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