Question 27

In the following question, select the missing number from the given series.
9863, 7119, 4922, 3194, 1863, ?

Solution

Given series is  9863, 7119, 4922, 3194, 1863, ?

The logic here is

9863 - 7119 = 2744 = 14$$^3$$

7119 - 4922 = 2197 = 13$$^3$$

4922 - 3194 = 1728 = 12$$^3$$

3194 - 1863 = 1331 = 11$$^3$$

The difference between the numbers is the cube of consecutive numbers.

The next difference will be 10$$^3$$ = 1000

Let the missing number = a

$$\Rightarrow$$  1863 - a = 1000

$$\Rightarrow$$   a = 863

$$\therefore\ $$The missing number in the series = 863

Hence, the correct answer is Option C


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