Sequence and Series (Test 3)

Problem Solving And Reasoning : Mathematics Or Quantitative Aptitude

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Sequence and Series
| Sequence and Series |
Q.1
Direction: What will come in place of the question mark (?) in the following number series?
2187, 729, 243, 81, 27, 9, ?
A. 36
B. 3
C. 18
D. 6
E. 12
Explaination / Solution:

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

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Q.2
Direction: What should come in place of question mark (?) in the following number series?
12, 6, 6, 9, 18, 45, ?
A. 136
B. 135
C. 140
D. 162
E. None of these
Explaination / Solution:

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

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Q.3
Directions: What will come in place of the question mark (?) in the following number series?
2, 10, 30, 68, 130, 222, ?
A. 350
B. 450
C. 250
D. 550
E. None of these
Explaination / Solution:

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

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Q.4
Direction: What will come in place of the question mark (?) in the following number series?
7, 10, 16, 25, 37, ?
A. 55
B. 52
C. 51
D. 57
E. None of these
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

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Q.5
What number should come in the place of question mark (?) in the series given below ?
15 22 36 57 85 ?
A. 120
B. 150
C. 110
D. 90
E. None of these
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

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Q.6
Direction: What will come in place of the question mark (?) in the following number series?
37, ?, 103, 169, 257, 367
A. 49
B. 46
C. 56
D. 59
E. 69
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.

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Q.7
Direction: What will come in place of the question mark (?) in the following number series?
540, 108, 27, 9, (?)
A. 3.5
B. 6.5
C. 4
D. 4.5
E. None of these
Explaination / Solution:

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

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Q.8
Direction: What will come in place of the question mark (?) in the following number series?

10, 15, 11, 16, 12, 17, (?)
A. 13
B. 15
C. 14
D. 12
E. None of these
Explaination / Solution:

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

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Q.9
Direction: What should come in place of question mark (?) in the following number series?
14, 15, 23, 32, 96, ?
A. 111
B. 124
C. 152
D. 121
E. None of these
Explaination / Solution:

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

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Q.10
Direction: What will come in place of the question mark (?) in the following number series?
26, 35, 50, 63, 82, 99, (?)
A. 136
B. 125
C. 114
D. 122
E. None of these