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Which of the following numbers will replace the question mark (?) in the given series? 5, 24, 46, 74, 111, 160, 224, ?
Question

Which of the following numbers will replace the question mark (?) in the given series?
5, 24, 46, 74, 111, 160, 224, ?

A.

305

B.

350

C.

360

D.

306

Correct option is D

Given:
5, 24, 46, 74, 111, 160, 224, ? 
Logic :The differences between consecutive terms in this sequence are increasing and double difference is 3, 6,9, 12, 15, 18..
24 - 5 = 19,     22 - 19 = 3
46 - 24 = 22,       28 - 22 = 6
74 - 46 = 28,       37 - 28 = 9
111 - 74 = 37,      49 - 37 = 12 
160 - 111 = 49,     64 - 49 = 15 
224 - 160 = 64,    x - 64 = 18 
So =  64 + 18 = 82
Thus, the next number in the sequence is =224 + 82 = 306 
Thus, the correct answer is (D) 306

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