Question : Directions: Select the number from among the given options that can replace the question mark (?) in the following series.
17, 25, 52, 116, 241, ?
Option 1: 457
Option 2: 467
Option 3: 461
Option 4: 447
Correct Answer: 457
Solution :
Given:
17, 25, 52, 116, 241, ?
In the above-given series, add cubes of consecutive natural numbers –
17 + (2)
3
= 17 + 8 = 25
25 + (3)
3
= 25 + 27 = 52
52 + (4)
3
= 52 + 64 = 116
116 + (5)
3
= 116 + 125 = 241
241 + (6)
3
= 241 + 216 = 457
So, the missing number is 457. Hence, the first option is correct.
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