The given sequence is based on the following pattern :
First term = 2
Second term = First term + 4 = 2 + 4 = 6
Third term = Second term + 6 = 6 + 6 = 12
Fourth term = Third term + 8 = 12 + 8 = 20
Fifth term = Fourth term + 10 = 20 + 10 = 30
Sixth term = Fifth term + 12= 30 + 12 = 42
........... and so on.

Correct Option: D

The given sequence is based on the following pattern :
First term = 2
Second term = First term + 4 = 2 + 4 = 6
Third term = Second term + 6 = 6 + 6 = 12
Fourth term = Third term + 8 = 12 + 8 = 20
Fifth term = Fourth term + 10 = 20 + 10 = 30
Sixth term = Fifth term + 12= 30 + 12 = 42
Seventh term = Sixth term + 14= 42 + 14 = 56
Eight term = Seventh term + 16= 56 + 16 = ?
∴ ? = 72

∴ Required number = 72

In the given sequence all the numbers except 100 are perfect cubes of natural numbers.
As, 8 = 2³,
27 = 3³,
64 = 4³
100 = 10² ≠ 10³
........... and so on.

Correct Option: B

In the given sequence all the numbers except 100 are perfect cubes of natural numbers.
As, 8 = 2³,
27 = 3³,
64 = 4³
100 = 10² ≠ 10³
125 = 5³
Hence , the wrong term is 100.

The given sequence is based on the following pattern :
First term = 1
Second term = First term × 2 = 1 × 2 = 2
Third term = Second term × 3 = 2 × 3 = 6
Fourth term = Third term × 4 = 6 × 4 = 24
Fifth term = Fourth term × 5 = 24 × 5 = ?
........... and so on.

Correct Option: D

The given sequence is based on the following pattern :
First term = 1
Second term = First term × 2 = 1 × 2 = 2
Third term = Second term × 3 = 2 × 3 = 6
Fourth term = Third term × 4 = 6 × 4 = 24
Fifth term = Fourth term × 5 = 24 × 5 = ?
∴ ? = 120

Hence, 120 will replace x.

The given sequence is based on the following pattern :
First term = 27
Second term = First term ÷ 3 = 27 ÷ 3 = 9
Third term = Second term ÷ 3 = 9 ÷ 3 = 3
Fourth term = Third term ÷ 3 = 3 ÷ 3 = ?
∴ ? = 1
........... and so on.

Correct Option: B

The given sequence is based on the following pattern :
First term = 27
Second term = First term ÷ 3 = 27 ÷ 3 = 9
Third term = Second term ÷ 3 = 9 ÷ 3 = 3
Fourth term = Third term ÷ 3 = 3 ÷ 3 = ?
∴ ? = 1

The given sequence is based on the following pattern :
7 × 8 = 56
8 × 9 = 72
9 × 10 = 90
10 × 11 = 110
11 × 12 = 132
12 × 13 ≠ 154

Correct Option: D

The given sequence is based on the following pattern :
7 × 8 = 56
8 × 9 = 72
9 × 10 = 90
10 × 11 = 110
11 × 12 = 132
12 × 13 ≠ 154, Since 154 is wrong term . so , 156 will be correct term.
∴ 154 is the wrong number.