Question 25

In the following question, select the missing number from the given series.
31, 32, 40, 67, 131, ?

Solution

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

$$\Rightarrow$$ a = 256

$$\therefore\ $$The missing number in the series = 256

Hence, the correct answer is Option B

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In the following question, select the missing number from the given series.31, 32, 40, 67, 131, ?