• #### 29. 6, 11, 21, 36, 56, ... ?

1. 81
2. 83
3. 95
4. 105

Explanation:

Pattern is +5, +10, +15, + 20. So next will be 56+25 = 81

• #### 30. 5, 9, 17, 29, 45, ... ?

1. 58
2. 64
3. 65
4. 80

Explanation:

Pattern in the series is +4, +8, +12, +16.
Next term will be 45 + 20 = 65

• #### 31. 20, 19, 17, (...) , 10, 5

1. 16
2. 12
3. 15
4. 14

Explanation:

Pattern in the series is -1, -2, .., .. , -5

So next term will be 17 - 3 = 14

• #### 32. 13, 35, 57, 79, 911, ?

1. 1005
2. 1110
3. 1113
4. 1140

Explanation:

The terms of the given series are numbers formed by joining together consecutive odd numbers in order i.e. 1 and 3, 3 and 5, 5 and 7, 7 and 9, 9 and 11, .....

So, missing term = number formed by joining 11 and 13 = 1113.

• #### 33. 4, 10, (?), 82, 244, 730

1. 26
2. 28
3. 40
4. 48

Explanation:

Each number in the series is the preceding number multiplied by 3 and then decreased by 2.

• #### 34. In the series 3, 9, 15.. what will be the 21st term ?

1. 123
2. 126
3. 129
4. 136

Explanation:

We can judge that it is A.P.
With 6 as difference
nth term in A.P. = a+(n-1)d
a= 3, n = 21, d = 6
So, 21st term will be = 3+(20)6 = 123

• #### 35. In the series 2, 6, 18, 54, ... what will be the 8th term ?

1. 4174
2. 4150
3. 4274
4. 4374

Explanation:

We can see the given series is in G.P.
as 2*3 = 6, 6*3 = 18, 18*3 = 54
So a = 2 , r = 3
nth term in G.P. is
\begin{aligned}
ar^{n-1} \\
= 2*3{8-1} \\
= 2*3^7 \\
= 2*2187 = 4374
\end{aligned}