Complete the series:
7, 26, 63, 124, 215, 342, ....

511

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512

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513

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521

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Solution

The correct option is B 511
The numbers are one less than the cube of 2, 3, 4, 5, 6, 7, 8, 9 etc.
We can conclude that,
$2^{3} - 1 = 7,$
$3^{3} - 1 = 26,$
$4^{3} - 1 = 63,$
$5^{3} - 1 = 124,$
$6^{3} - 1 - 215,$
$7^{3} - 1 = 342$
So, the next number is $8^{3} - 1 = 511$
Hence, the answer is 511 i.e. option A.

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