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NUMBER SERIES
NUMBER SERIES
Number Series tests are a type of numerical aptitude test which
require you to find the missing or wrong number in a sequence.
This missing or wrong number may be at the beginning or middle
or at the end of sequence.
In these quetions a number series is given and candidates are
asked to either insert a missing number or find the one that does
not follow the pattern of series. The only thing to be understand
for solving these questions is the pattern, on which a number
series is written. A number series can be framed by using various
methods. Therefore, it is advisable for the students to practice as
much questions as possible.
5: What should be the next number in the
following number series?
198, 194, 185, 169, ....
Sol.
198
194
–2
1: What should come in place of the question
mark (?) in the following number series?
0, 3, 12, 30, ?, 105, 168
Sol. 0
3
+3
12
+9
+6
60
30
+18
+9
+30
+12
105 168
+45
+15
6
+18
3: What should come in place of the
question mark (?) in the following number series?
3 4 12 45 ? 1005
Sol. The series is as follows
× 1 + 12, × 2 + 22, × 3 + 32.., ...
Find the Next Number
4 : What should be the next number in the
following number series?
48, 32, 24, 20
48
–16
24
32
–8
18
20
–4
–2
2
9
+3
–4
2
144
–5
10
7
–2
2
+3
8
11
–2
+3
9
–2
7 : What should be the next number in the
following number series?
0, 2, 6, 12, 20, ....
Sol.
0
2
+2
6
+4
+63
2 : What should come in place of the question
mark (?) in the following number series?
2 9 30 105 ? 2195
Sol. The series is as follows
× 1 + 1 × 7, × 2 + 2 × 6, × 3 + 3 × 5...
Sol.
–3
169
6 : What should be the next number in the
following number series?
6, 9, 7, 10, 8, 11, ....
Sol. The series is as follows
Type of Questions
Find the Missing Number
2
185
12
+6
20
+8
30
+10
Find the Wrong Number
8 : In the following number series, a wrong
number is given. Find out that wrong number.
9, 15, 24, 51, 34, 69, 90
Sol. 9
15
+6
34
24
+9
+12
+15
51
69
+18
90
+21
9 : In the following number series, a wrong
number is given. Find out that wrong number.
10 15 24 35 54 75 100
Sol. The series is as follows
+ 5, +9, + 13, +17 ....difference of two consecutive terms
(9 – 5 = 13 – 9 = 17 – 13) is 4.
Hence, 35 is wrong number in the seies, it should be 37.
10 : In the following number series, a wrong
number is given. Find out that wrong number.
1 3 4 7 11 18 27 47
Sol. Third number is the sum of first two numbers
Hence 27is wrong number in the seies, it should be 29.
2
1 : What should come in place of the question mark
(?) in the following number series?
18 38 120 ? 2480 14910
(a) 394
(b) 450
(c) 492
(d) 486
(e) None of these
Sol. (c) The given number series is based on the following
pattern:
18 × 2 + 2 × 1 = 38
38 × 3 + 3 × 2 = 120
6 : In the following number series one of the
numbers is wrong. Find out the wrong number.
3 2 3 6 12 37.5 115. 5
(a) 37.5
(b) 3
(c) 6
(d) 2
(e) 12
Sol. (e) The series is as follows
× 0.5 + 0.5, × 1 + 1, × 1.5 + 1.5 ...
Hence, 12 is wrong number in the seies, it should be
14.
120 × 4 + 4 × 3 = 492
492 × 5 + 5 × 4 = 2480
2480 × 6 + 6 × 5 = 14910
Hence, 492 will come in place of the question mark.
2 : What should come in place of the question
mark (?) in the following number series?
1 3 9 31 ? 651
(a) 97
(b) 127
(c) 129
(d) 109
(e) None of these
Sol. (c) The series is as follows
× 1 + 2, × 2 + 3, × 3 + 4, ...
3 : What should come in place of the question
mark (?) in the following number series?
5 ? 4 7.5 17 45
(a) 3.5
(b) 3
(c) 2.5
(d) 2
(e) None of these
Sol. (b) The series is as follows
× 0.5 + 0.5, × 1 + 1, + 1.5 + 1.5, ....
7 : What should be the next number in the
following number series?
6 42 294 2058 14406 ?
(a) 100842
(b) 72030
(c) 86436
(d) 115248
(e) 129654
Sol. (a) 6 ×7 = 42
42 × 7 = 294
294 × 7 = 2058
2058 × 7 = 14406
14406 × 7 = 100842
8 : What should be the next number in the
following number series?
20 33 50 69 92 ?
(a) 196
(b) 100
(c) 169
(d) 144
(e) 121
Sol. (e) Here,
20 + 13 = 33
33 + 17 = 50
50 + 19 = 69
69 + 23 = 92
92 + 29 = 121
4 : What should come in place of the question
mark (?) in the following number series?
15 30 ? 40 8 48
(a) 10
(b) 20
(c) 18
(d) 12
(e) None of these
Sol. (a) The series is as follows
1
1
´ 2, ´ , ´4, ´ , .....
3
5
5 : In the following number series one of the
numbers is wrong. Find out the wrong number.
14 28 112 672 5374 53760
(a) 112
(b) 672
(c) 5374
(d) 28
(e) None of these
Sol. (c) The sequence is
× 2, × 4, × 6, × 8, × 10
5374 should be 5376
9 : What should be the next number in the
following number series?
5, 6, 8, 9, 11, ....
(a) 15
(b) 12
(c) 17
(d) 20
(e) None of these
Sol. (b)
5
6
8
9
11
12
+1
+2
+1
+2
+1
10 : What should be the next number in the
following number series?
35, 30, 25, 20, 15, 10, ....
(a) 15
(b) 10
(c) 5
(d) 2
(e) None of these
Sol. (c) Series is in descending order of 5.