Select the number that can replace the question mark (?) in the following series.
19, 20, 24, 51, 67, ?
In the given series,
20 - 19 = 1 = 1$$^3$$
24 - 20 = 4 = 2$$^2$$
51 - 24 = 27 = 3$$^3$$
67 - 51 = 16 = 4$$^2$$
The difference between numbers of the series are square and cubes of natural numbers alternatively.
The next difference should be 5$$^3$$
Let the required number be 'a'
$$\Rightarrow$$Â a - 67 = 5$$^3$$
$$\Rightarrow$$Â a = 125 + 67
$$\Rightarrow$$Â a = 192
$$\therefore\ $$Required number = 192
Hence, the correct answer is Option B
Create a FREE account and get: