Identify the numbers that occur in the series 0, 7, 26, 63, 124……….
A. 344
B. 511
C. 215
D. 730
Choose the correct answer from the options given below:

Correct option is B

Given:
Number series:
0, 7, 26, 63, 124, …

We are to find which among the given options continues the pattern in this series.

Options:
A. 344
B. 511
C. 215
D. 730

Concept:
Let’s look at the pattern in the series:

Try to observe the relation with cubes:

1³ – 1 = 1 – 1 = 0

2³ – 1 = 8 – 1 = 7

3³ – 1 = 27 – 1 = 26

4³ – 1 = 64 – 1 = 63

5³ – 1 = 125 – 1 = 124

6³ – 1 = 216 – 1 = 215

7³ – 1 = 343 – 1 = 342

8³ – 1 = 512 – 1 = 511

9³ – 1 = 729 – 1 = 728

So the series follows the pattern:
n³ – 1, where n = 1, 2, 3, ...

Solution:
Now match the options:

A. 344 (not of the form n³ – 1)

B. 511 (8³ – 1)

C. 215 (6³ – 1)

D. 730 (does not match the pattern)

Final Answer:
Options B (511) and C (215)