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એક કોડ ભાષામાં, 'HUGE' ને 82 તરીકે કોડ કરવામાં આવે છે અને 'MERCY' ને 128 તરીકે કોડ કરવામાં આવે છે. તે જ ભાષામાં 'ASPECT' ને કેવી રીતે કોડ કરવામાં આવશે?
88
116
128
96
128
Calculate the sum of the positional values of letters (A=1, B=2,..., Z=26) and multiply by 2.
Calculate the sum of the positional values of letters (A=1, B=2,..., Z=26) and multiply by 2.
Calculate Letter Positions
Convert letters to their standard positional values: H=8, U=21, G=7, E=5 (HUGE: 8+21+7+5 = 41); M=13, E=5, R=18, C=3, Y=25 (MERCY: 13+5+18+3+25 = 64).
Apply Multiplier
Observe the pattern: Sum * 2 = Code. HUGE (41 * 2 = 82), MERCY (64 * 2 = 128).
Decode ASPECT
For ASPECT: A(1) + S(19) + P(16) + E(5) + C(3) + T(20) = 64. Applying the pattern: 64 * 2 = 128.
A: 88 is incorrect as the sum 64 multiplied by 2 equals 128; B: 116 does not match the calculated result; D: 96 is incorrect as it ignores the consistent multiplier pattern.
C is correct because the code is derived by summing the positional values of all letters in the word and multiplying the total sum by 2.
In coding-decoding questions, if the resulting number is much larger than the sum of positions, always check for multipliers or additive constants applied to the total sum.