Question 26

In the following question, select the missing number from the given series.
2112, 2328, 2671, 3183, ?, 4912

Solution

The logic here is

2328 - 2112 = 216 = 6$$^3$$

2671 - 2328 = 343 = 7$$^3$$

3138 - 2671 = 512 = 8$$^3$$

The differences between the consecutive numbers of the series are cubes of consecutive numbers.

The next difference should be 9$$^3$$

Let the missing number in the series = a

$$\Rightarrow$$ a - 3138 = 9$$^3$$

$$\Rightarrow$$ a - 3138 = 729

$$\Rightarrow$$ a = 3912

$$\therefore\ $$The missing number in the series = 3912

Hence, the correct answer is Option C


Create a FREE account and get:

  • Free SSC Study Material - 18000 Questions
  • 230+ SSC previous papers with solutions PDF
  • 100+ SSC Online Tests for Free

cracku

Boost your Prep!

Download App