13, 32, 24, 43, 35, ?, 46, 65, 57, 76

Answer: Option C

Explanation:

The given sequence is a combination of two series:

I. 13, 24, 35, 46, 57 and II. 32, 43, ?, 65, 76

The pattern in both I and II is + 11. So, missing term = 43 + 11 = 54.

22, 24, 28, ?, 52, 84

Answer: Option A

The pattern is + 2, + 4, + 8, + 16,.....

So, missing term = 28 + 8 = 36.

3, 15, ?, 63, 99, 143

Answer: Option B

The terms of the given series are (2^{2} - 1), (4^{2} - 1),....., (8^{2} - 1), (10^{2} - 1), (12^{2} - 1).

So, missing term = (6^{2} - 1) - (36 - 1) = 35.

90, 180, 12, 50, 100, 200, ?, 3, 50, 4, 25, 2, 6, 30, 3

Clearly, 90 = 30 x 3, 180 = 6 x 30, 12 = 2 x 6, 50 = 25 x 2, 100 = 4 x 25, 200 = 50 x 4.

So, missing term = 3 x 50 = 150.

48, 24, 96, 48, 192, ?

The pattern is Ã· 2, x 4, Ã· 2, x 4, .....

So, missing term = 192 Ã· 2 = 96.