The correct option is A 16
The given series 1, 1, 3, 9, 6, 36, 10, 100, 16, 225 consists of two series.
1st series: 1, 3, 6, 10, 16 2nd series: 1, 9, 36, 100, 225
In the 1st series, the difference between two consecutive term is increases as 2, 3, 4, 5.
In the second series, the square of corresponding terms in the first series is there.
Clearly, 10 + 5 = 15
Hence, option (B) is the correct answer.