In a certain code language, LIABILITY is coded as 141, and OFFICIATE is coded as 166. How will STATUTORY be coded in that language?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 81.
The logic used here is:
LIABILITY is coded as 141
L ⇔ O = 15, I ⇔ R = 18, A ⇔ Z = 26, B ⇔ Y = 25, I ⇔ R = 18, L ⇔ O = 15, I ⇔ R = 18, T ⇔ G = 7, Y ⇔ B = 2
LIABILITY = 15 + 18 + 26 + 25 + 18 + 15 + 18 + 7 + 2 = 144
LIABILITY = 144 - 3 = 141
OFFICIATE is coded as 166
O ⇔ L = 12, F ⇔ U = 21, F ⇔ U = 21, I ⇔ R = 18, C ⇔ X = 24, I ⇔ R = 18, A ⇔ Z = 26, T ⇔ G = 7, E ⇔ V = 22
OFFICIATE = 12 + 21 + 21 + 18 + 24 + 18 + 26 + 7 + 22 = 169
OFFICIATE = 169 - 3 = 166
Similarly;
Code for the word STATUTORY:
S ⇔ H = 8, T ⇔ G = 7, A ⇔ Z = 26, T ⇔ G = 7, U ⇔ F = 6, T ⇔ G = 7, O ⇔ L = 12, R ⇔ I = 9, Y ⇔ B = 2
STATUTORY = 8 + 7 + 26 + 7 + 6 + 7 + 12 + 9 + 2 = 84
STATUTORY = 84 - 3 = 81
Hence, 81 is the correct answer.