Question 48

Select the number that can replace the question mark (?) in the following series.

126, 217, 344, ?

Solution

126 = 125 + 1 = 5$$^3$$ + 1

217 = 216 + 1 = 6$$^3$$ + 1

344 = 343 + 1 = 7$$^3$$ + 1

The number of the series are in the form of n$$^3$$ + 1

$$\therefore\ $$Next number in the series = 8$$^3$$ + 1 = 513

Hence, the correct answer is Option A

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