Choose the correct alternative from the given ones that will complete the series:3, 5, 35, 10, 12, 35, __, __(A) 13, 15 (B) 17, 19 (C) 22, 24 (D) 45, 47

The correct alternative that will complete the series is (A) 13, 15.

Here's the step by step explanation:

The series alternates between two different sequences.

The first sequence is: 3, 10, __, __. This sequence increases by 7 each time. So, the next two numbers in this sequence would be 17 and 24.

The second sequence is: 5, 35, 12, 35. This sequence alternates between 5+0, 35, 5+7, 35. So, the next two numbers in this sequence would be 5+8=13 and 35.

So, if we interleave these two sequences, we get the complete series: 3, 5, 10, 35, 17, 12, 24, 35.

But the question asks for the next two numbers after 35, which are 13 and 15 from the second sequence. So, the correct answer is (A) 13, 15.