Select the option that is related to the fifth term in the same way as the second term is related to the first term and the fourth term is related to the third term.
12 : 208 :: 9 : 108 :: 15 : ?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 350
The logic used here is:
12 : 208
122 = 144 ⇒ 144 + (12 ÷ 3)3 = 144 + 43 = 144 + 64 = 208
9 : 108
92 = 81 ⇒ 81 + (9 ÷ 3)3 = 81 + 33 = 81 + 27 = 108
Similarly,
15 : ?
152 = 225 ⇒ 225 + (15 ÷ 3)3 = 225 + 53 = 225 + 125 = 350