# Sequence and Series - Online Test

Q1. Direction: What will come in place of the question mark (?) in the following number series?
2187, 729, 243, 81, 27, 9, ?
Explaination / Solution:

So, 3 will come at the place of question mark.

Q2. Direction: What should come in place of question mark (?) in the following number series?
12, 6, 6, 9, 18, 45, ?
Explaination / Solution:

Series Pattern is ---> *.5,*1,*1.5,*2,*2.5,
So missing series = 45* 3 = 135

Q3. Directions: What will come in place of the question mark (?) in the following number series?
2, 10, 30, 68, 130, 222, ?
Explaination / Solution:

The numbers are formed as 13+1, 23+2, 33+3, and so on.

Q4. Direction: What will come in place of the question mark (?) in the following number series?
7, 10, 16, 25, 37, ?
Explaination / Solution:

The pattern of the series is
7+3=10
10+2×3=16
16+3×3=25
25+4×3=37
37+5×3=52

Q5. What number should come in the place of question mark (?) in the series given below ?
15 22 36 57 85 ?
Explaination / Solution:

22 -1 5 = 7
36 – 22 = 14 =(7×2)
57 – 36 = 21 = (7×3)
85 -57 = 28 = (7×4)
Hence in every subsequent step difference is multiplied by 7.
Therefore the next difference will be (7×5)=35
Hence ? =85+35 = 120

Q6. Direction: What will come in place of the question mark (?) in the following number series?
37, ?, 103, 169, 257, 367
Explaination / Solution:

37 ? 103 169 257 367
37 + 22 = 59
59 + 44 = 103
103 + 66 = 169
169 + 88 = 257
257 + 110 = 367
Thus, 37 59 103 169 257 367
Hence, option D is correct.

Q7. Direction: What will come in place of the question mark (?) in the following number series?
540, 108, 27, 9, (?)
Explaination / Solution:

The pattern is = *1/5, *1/4, *1/3,
So the missing term is = 9*1/2 = 4.5

Q8. Direction: What will come in place of the question mark (?) in the following number series?

10, 15, 11, 16, 12, 17, (?)
Explaination / Solution:

The pattern is = +5 -4 +5 -4 +5
So the missing term is = 17 – 4 = 13

Q9. Direction: What should come in place of question mark (?) in the following number series?
14, 15, 23, 32, 96, ?
Explaination / Solution:

14 + 1^2 = 15; 15 + 2^3 = 23
23 + 3^2 = 32; 32 + 4^3 = 96
96 + 5^2 = 121

Q10. Direction: What will come in place of the question mark (?) in the following number series?
26, 35, 50, 63, 82, 99, (?)
Explaination / Solution:

The pattern is = 52+1, 62-1, 72+1, 82-1, 92+1, 102-1,
So the missing term is =112+1, = 122