8, 13, 21, 32, 47, 63, 83

The terms of the series are products of two consecutive prime numbers i.e. (2 x 3),

(3 x 5), (5 x 7), (7 x 11),.....

So, 165 is wrong and must be replaced by (11 x 13) i.e. 143.

Each term in the series is obtained by adding 22 to the preceding term.

So, 186 is wrong and must be replaced by (165 + 22) i.e. 187.

The pattern is x 3 + 4, x 4 + 4, x 5 + 4,.....

So, missing term = 584 x 6 + 4 = 3508.

The pattern is + 8, + 10, + 12, + 14, .....

So, missing term = 70 + 18 = 88.

Each term in the series, except the first two terms, is 2 more than the sum of the preceding two terms.

So, missing term = (42 + 70) + 2 = 114.

Each term of the series is obtained by multiplying the preceding term by 2.

So, 96 is wrong and must be replaced by (64 x 2) i.e. 128.

The correct pattern is x 1 + 1, x 2 + 2, x 3 + 3, x 4 + 4,.....

So, 32 is wrong and must be replaced by (10 x 3 + 3) i.e. 33.

The correct pattern is - 20, - 25, - 30,.....

So, 0 is wrong and must be replaced by (30 - 35) i.e. - 5.

The terms of the series are (1² + 1), (2² + 1), (3² + 1), (4² + 1), (5² + 1), (6² + 1),

(7²+1),.....

So, 64 is wrong and must be replaced by (8² + 1) i.e. 65.

The correct pattern is + 1, - 2, + 3, - 4, + 5.

So, 129 is wrong and must be replaced by (123 + 5) i.e. 128.