Which of the following numbers will replace the question mark in the given series 1724 1716 1689 162...........

General Intelligence and Reasoning (CHSL) Number series

Which of the following numbers will replace the question mark (?) in the given series?

1724, 1716,1689,1625,1500,?

This questions was previously asked in

SSC CHSL 25th May 2022 Shift-1

1296

1284

1254

1280

Let’s break down the sequence step by step to figure out which number should come next:

- Series: 1724, 1716, 1689, 1625, 1500, ?

- Look at the difference between each term:

- 1724 to 1716: -8

- 1716 to 1689: -27

- 1689 to 1625: -64

- 1625 to 1500: -125

- Notice the differences: 8, 27, 64, 125 are all cubes: 2³, 3³, 4³, 5³

- The next difference should be 6³ = 216.

- Subtract 216 from 1500: 1500 - 216 = 1284

- Option 2 is 1284.

- Option 2 (1284) is the correct answer.

- The pattern is: subtracting successive cubes (2³, 3³, etc.) from each term.

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