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Which of the following numbers will replace the question mark (?) in the given series?5 , 24 , 61 , 122 , 213 , ?
Question

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

5 , 24 , 61 , 122 , 213 , ?

A.

340 

B.

350

C.

320

D.

334

Correct option is A

Given:  5 , 24 , 61 , 122 , 213 , ?
Logic: Take the cube of the numbers starting from 2, 3, 4, 5, 6, 7 and then subtract 3 by it.
23= 8, 8 - 3 = 5 (1st term)
33= 27, 27 - 3 = 24 (2nd term)
43= 64, 64 - 3 = 61 (3rd term)
53= 125, 125 - 3 = 122 (4th term)
63= 216, 216 - 3 = 213 (5th term)
73= 343, 343 - 3 = 340 (6th term)
So, the next number in the series is 340
Thus, the correct answer is (a).

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