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Which of the following numbers will replace the question mark (?) in the given series?9 , 10 , 18 , 45 , 109 , ?
Question

Which of the following numbers will replace the question mark (?) in the given series?

9 , 10 , 18 , 45 , 109 , ?

A.

327

B.

234

C.

198

D.

218

Correct option is B

Given: 9 , 10 , 18 , 45 , 109 , ?
Logic: Difference of two constitutive number is increasing from 1, 8, 27, 64, 125
(which is cube of respective numbers 1, 2, 3, 4, 5)
Explanation:
10-9=1
18-10=8
45-18=27
109-45=64
Similarly,
?-109=125
?=125+109
?=234
Thus, Option B is the correct answer.

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