In the following question, select the missing number from the given series.
31, 32, 40, 67, 131, ?
Let the missing number in the series = a
The logic here is
32 - 31 = 1$$^3$$
40 - 32 = 2$$^3$$
67 - 40 = 3$$^3$$
131 - 67 = 4$$^3$$
The difference between numbers of the series is the cube of consecutive natural numbers.
The next difference should be 5$$^3$$ = 125.
Similarly,
a - 131 = 125
$$\Rightarrow$$Â a = 256
$$\therefore\ $$The missing number in the series = 256
Hence, the correct answer is Option B
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