Select the number from among the given options that can replace the question mark in the following s...........

Logical Resoning (CGL) Number series

Select the number from among the given options that can replace the question mark (?) in the following series.

3, 11, 31, 69, 131, ?

This questions was previously asked in

SSC CGL 18th April 2022 Shift-1

152

163

198

223

- Let's look for a pattern in the series: 3, 11, 31, 69, 131, ?

- First, examine the differences between consecutive terms:

- \(11 - 3 = 8\)

- \(31 - 11 = 20\)

- \(69 - 31 = 38\)

- \(131 - 69 = 62\)

- The differences themselves form the series: 8, 20, 38, 62

- The differences between these differences are:

- \(20 - 8 = 12\)

- \(38 - 20 = 18\)

- \(62 - 38 = 24\)

- The second-level differences are consistently increasing by 6.

- Using this, the next second-level difference will be \(24 + 6 = 30\).

- Adding 30 to the last first-level difference (62): \(62 + 30 = 92\).

- Add this to the last number in the series: \(131 + 92 = 223\).

- The correct number to replace the question mark is 223.

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