1331 2197 4913 6859 ? 24389

12167

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13824

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9261

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15625

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None of these

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Solution

The correct option is A 12167
The given series is based on the following pattern:
Numbers are cubes of consecutive prime numbers.
i.e.
$11^{3} = 1331 13^{3} = 2197 17^{3} = 4913 19^{3} = 6859 23^{2} = 12167 29^{3} = 24389$
Hence,12167 will come in place of the question mark.

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