Number Series is a crucial section of Quantitative Aptitude in every
competitive exam like IBPS PO, IBPS Clerk, SBI PO, SBI Clerk, RBI Grade B, RBI
Assistant, and LIC Assistant. Practice is the only key to getting command over
Number Series. These **number series questions** set will guide you through
obtaining a good score in all bank exams.

**SET 01 **

## Missing Number Series

Find the number in place of question mark (?) in the following Missing
**number series questions** given below.

Q1. Find the missing number in the given series:

200, 197, 185, 163, 130, ? [SBI PO 2019]

a.95

b.85

c. 105

d. 86

e. 84

Ans: b) 85

Explanation:

Double Difference

Q2. Find the missing number in the given series:

15, 8, 9, 15, 32, ? [SBI PO 2019]

a. 95

b. 66

c. 80.5

d. 82.5

e. 84.6

Ans: d) 82.5

Explanation:

15×0.5+0.5=8

8×1+1=9

9×1.5+1.5=15

15×2+2=32

32×2.5+2.5=82.5

Q3. Find the missing number in the given series:

5, 30, 150, 600, ? [SBI PO 2019]

a. 1200

b. 1500

c. 2400

d. 1800

e. 600

Ans: d) 1800

Explanation:

5×6=30

30×5=150

150×4=600

600×3=1800

Q4. Find the missing number in the given series:

222, 110, 54, 26, ? [SBI PO2019]

a. 10

b. 12

c. 8

d. 6

e. 14

Ans: b) 12

Explanation:

222×0.5–1=110

110×0.5–1=54

54×0.5–1=26

26×0.5–1=12

Q5. Find the missing number in the given series:

104, ?, 96, 120, 88, 128 [SBI PO 2019]

a. 112

b. 96

c. 116

d. 120

e. 92

Ans: a) 112

Explanation:

+ 8, - 16, + 24, - 32, + 40

? = 104 + 8 = 112

Q6. Find the missing number in the given series:

11, 20, 38, 74, ? [IBPS PO 2016]

a. 146

b. 154

c. 128

d. 132

e. 136

Ans: a) 146

Explanation:

+9, +18, +36, +72…

?=74 + 72 = 146

Q7. Find the missing number in the given series:

15, 21, 38, 65, 101, ? [IBPS PO 2016]

a. 124

b. 145

c. 136

d. 158

e. 162

Ans: b) 145

Explanation:

Double Difference

Q8. Find the missing number in the given series:

24, 28, 19, 35, 10, ? [IBPS PO 2016]

a. 26

b. 36

c. 16

d. 46

e. 115

Ans: d) 46

Explanation:

+2², -3², +4², -5², +6²

10+6²=46

Q9. Find the missing number in the given series:

7, 16, 45, 184, 915, ? [IBPS PO 2016]

a. 2092

b. 5496

c. 1048

d. 4038

e. 3268

Ans: b) 5496

Explanation:

×2+2, ×3−3, ×4+4, ×5−5, 6+6

915×6+6 = 5496

Q10. Find the missing number in the given series:

12, 19, 35, 59, 90, ? [IBPS PO 2016]

a. 134

b. 127

c. 132

d. 98

e. 114

Ans: b) 127

Explanation:

Double Difference

Q11. Find the missing number in the given series:

3, 5, 15, 45, 113 ? [IBPS PO 2017]

a. 190

b. 234

c. 293

d. 243

e. 208

Ans: d) 243

Explanation:

+1³+1, 2³+2, 3³+3, 4³+4, 5³+5

Q12. Find the missing number in the given series:

17, 98, 26, 98, 35, ? [IBPS PO 2017]

a. 78

b. 79

c. 80

d. 81

e. 82

Ans: c) 80

Explanation:

Alternative Seies (Detailed in the below)

Q13. Find the missing number in the given series:

3240, 540, 108, 27, ?, 4.5 [IBPS PO 2017]

a. 12

b. 7

c. 9

d. 8

e. 6

Ans: c) 9

Explanation:

÷6, ÷5, ÷4, ÷3, ÷2

Q14. Find the missing number in the given series:

7, 4.5, 5.5, 12, 49, ? [IBPS PO 2017]

a. 393

b. 378

c. 197

d. 148

e. 246

Ans: a) 393

Explanation:

×0.5+1, ×1+1, ×2+1, ×4+1, ×8+1

Q15. Find the missing number in the given series:

2, 17, 89, 359, 1079, ? [IBPS PO 2017]

a. 2159

b. 2162

c. 1080

d. 2142

e. 2079

a) Ans: 2159

Explanation:

x6+5, x5+4, x4+3, x3+2, x2+1

## Wrong Number Series

In each of these questions series, a wrong number is given. Find out the wrong number that does not belong to the series.

Q1. Find the wrong number in the given series:

1, 3, 9, 31, 128, 651, 3913 [SBI PO 2018]

a.9

b.1

c. 128

d. 31

e. 3913

Ans: b) 128

Explanation:

×1+2, ×2+3, ×3+4, ×4+5, ×5+6, ×6+7

Q2. Find the wrong number in the given series:

291, 147, 75, 39, 22, 12, 7.5 [SBI PO 2018]

a. 22

b. 291

c. 147

d. 75

e. 7.5

Ans: a) 22

Explanation:

÷2+1.5, ÷2+1.5, ÷2+1.5, ÷2+1.5, ÷2+1.5,÷2+1.5

Q3. Find the wrong number in the given series:

26, 27, 34, 58, 106, 186, 306 [SBI PO 2018]

a. 26

b. 34

c. 58

d. 106

e. 27

Ans:3) 27

Explanation:

1²-1, 3²-1, 5²-1, 7²-1, 9²-1, 11²-1

Q4. Find the wrong number in the given series:

5.9, 6, 6.1, 6.4, 7.9, 18.5, 112.9 [SBI PO 2018]

a. 6

b. 5.9

c. 6.1

d. 18.5

e. 112.9

Ans: d) 18.5

Explanation:

Difference and Multiplication

Q5. Find the wrong number in the given series:

330, 80, 280, 120, 250, 130, 240 [SBI PO 2018]

a. 330

b. 130

c. 280

d. 240

e. 80

Ans: b) 130

Explanation:

Double Difference

Q6. Find the wrong number in the given series:

5, 18, 34, 54, 79, 110, 158 [SBI PO 2020]

a. 34

b. 5

c. 18

d. 54

e. 158

Ans: e) 158

Explanation:

Double Differenced

Q7. Find the wrong number in the given series:

112, 128, 108, 132, 104, 134, 100 [SBI PO 2020]

a. 112

b. 128

c. 134

d. 108

e. 100

Ans: c) 143

Explanation:

112 + 16, 128 – 20, 108 + 24, 132 – 28, 104 + 32, 136 − 36

Q8. Find the wrong number in the given series:

5, 6, 14, 45, 184, 920, 5556 [SBI PO 2020]

a. 5

b. 6

c. 14

d. 920

e. 45

Ans: d) 920

Explanation:

×1+1, ×2+2, ×3+3, ×4+4, ×5+5, ×6+6

Q9. Find the wrong number in the given series:

10, 22, 35, 50, 68, 92, 117 [SBI PO 2020]

a. 92

b. 117

c. 10

d. 22

e. 35

Ans: a) 92

Explanation:

Double Differenced

Q10. Find the wrong number in the given series:

64, 34, 36, 56, 114 , 287, 860 [SBI PO 2020]

a. 114

b. 680

c. 64

d. 36

e. 56

Ans: b) 860

Explanation:

×0.5+2, ×1+2, ×1.5+2, ×2+2, ×2.5+2, ×3+2

Q11. Find the wrong number in the given series:

4, 5.1, 7.3, 10.6, 15, 20, 27.1 [IBPS PO 2018]

a. 5.1

b. 4

c. 7.3

d. 20

e. 27.1

Ans: d) 20

Explanation:

+1.1, +2.2, +3.3, +4.4, +5.5, +6.6

Q12. Find the wrong number in the given series:

2, 3, 8, 31, 154, 924, 6460 [IBPS PO 2018]

a. 924

b. 6460

c. 154

d. 8

e. 31

Ans: a) 924

Explanation:

×2-1, ×3-1, ×4-1, ×5-1, ×6-1, ×7-1

Q13. Find the wrong number in the given series:

251, 252, 254, 227, 243, 118, 154 [IBPS PO 2018]

a. 251

b. 252

c.227

d. 243

e. 154

Ans: b) 252

Explanation:

-1³, +2², -3³, +4², -5³, +6²

Q14. Find the wrong number in the given series:

141, 156, 147, 162, 153, 165, 159 [IBPS PO 2018]

a. 165

b. 153

c. 147

d. 165

e. 159

Ans: d) 165

Explanation:

+15, -9, +15, -9, +15, -9

Q15. Find the wrong number in the given series:

2, 6, 10, 19, 36, 69, 134 [IBPS PO 2018]

a. 134

b. 69

c. 6

d. 2

e. 10

Ans: c) 6

Explanation:

Triple Difference

In this number series question set, we provide different**
number series questions**
for all bank exams like IBPS clerk, IBPS PO, SBI clerk, SBI
PO, RBI assistant based on the previous year question pattern. We also provide
last year **number series questions** to get good command over bank
exam-related number series patterns.

Practising daily a set of numbers series will help you get good command in any
competitive exams as this section contributes a significant role in the
quantitative aptitude portion.

## Types of Number Series Questions asked in competitive exams

Number series are mainly two types. Missing number series and wrong number series. The most common patterns followed by number series are:

### 1. Table based Number Series:

It consists of a series in which numbers are arranged in a way that the difference of the numbers is from multiplication tables.

Example: 292, 328,382,454,544,?

Ans: **652**

Explanation:

328-292 = 36

382-328 = 54

454-382 = 72

534-454 = 90

**652**-544 = 108

In this series 36, 54, 72, 90, 108 are from Table of 18.

### 2. Gape of square and cube:

It consists of a series in which numbers are arranged so that the difference of the numbers are perfect Cubes or perfect Squares.

Example: 224,232,259,323,448,?

Ans:**664**

Explanation:

232-224 = 8

259-232 = 27

323-259 = 64

448-323 = 125

**664**-448 = 216

In the above series 8,27,64,125,216 are perfect cubes.

Example: 36,40,49,65,90,?

Ans:**126**

Explanation:

40-36 = 4

49-40 = 9

65-49 = 16

90-65 = 25

**126**-90 = 36

In the above series 4,9,16,25,36 are perfect squares.

### 3. Double difference based number series:

To find the pattern in this series, we have to find the difference of the numbers two times.

Example: 192,223,260,305,360,?

Ans: **427**

Explanation:

192 223 260 305 360 **427**

31 37 45 55
**67**

6 8
10 **12**

In the above series, 6,8,10,12 are the results of double difference, which are
consecutive even numbers.

### 4. Square cube twists:

It consists of a series in which numbers are based on Square cube twits. Patterns are usually formed in the general formula n³+a, n³-a, n²+a, n²-a (Where n and a are any integers)

Example: 65,65,71,95,155,?

Ans: **275**

Explanation:

65-65 = 0

71-65 = 6

95-71 = 24

155-95 = 60

**275**-155 = 120

In the above series 0,6,24,60,120 followed the general formula n³-a, where
n=a= {1,2,3,4,5}

0 = 1³-1

6 = 2³-2

24 = 3³-3

60 = 4³-4

120 = 5³-5

Example: 17,22,32,49,75,?

Ans: **112**

Explanation:

22-17 = 5

32-22 = 10

49-32 = 17

75-49 = 26

**112**-75 = 37

In the above series 5,10,17,26,37 followed the general formula n²+a, where
n={2,3,4,5,6} and a=1

5 = 2²+1

10 = 3²+1

17 = 4²+1

26 = 5²+1

37 = 6²+1

### 5. Multiplication Based Number Series:

As the name of this series specifies, this type of series is formed by multiplying the previous number with integers. If the numbers are increasing or decreasing rapidly, it might have a multiplication based pattern series.

Example: 8,8,16,48,192,960,?

Ans: 5760

Explanation:

8*1 = 8

8*2 = 16

16*3 = 48

48*5 =4 192

192*5 = 960

960*6 = **5760**

### 6. Multiplication plus addition/subtraction based series:

It consists of a series in which numbers are combined with multiplication and addition or subtraction simultaneously. It is the most commonly asked pattern in competitive exams. When the numbers increase or decrease rapidly, it might be a multiplication plus addition/subtraction based series.

Example: 4,6,15,49,201,?

Ans: **1011**

Explanation:

4*1+2 = 6

6*2+3 = 15

15*3+4 = 49

49*4+5 = 201

201*5+6 = **1011**

Example: 7,13,25,49,97,?

Ans: **193**

Explanation:

7*2-1 = 13

13*2-1 = 25

25*2-1 = 49

49*2-1 = 97

97*2-1 = **193**

### 7. Decimal based series:

Decimal based number series is a combination of multiplication and addition of decimal numbers. Sometimes number series itself consists of decimal numbers within it. When the numbers are increasing or decreasing rapidly, it might be a decimal-based number series.

Example: 11,6,10.5,28.75,?

Ans: **104.125**

Explanation:

11*0.5+0.5 = 6

6*1.5+1.5 = 10.5

10.5*2.5+2.5 = 28.75

28.75*3.5+3.5 = **104.125**

Example:

8,4.5,5.5,13,56,?

Ans: **456**

Explanation:

8*0.5+0.5 = 4.5

4.5*1+1 = 5.5

5.5*2+2 = 13

13*4+4 = 56

56*8+8 = **456**

### 8. Alternative Number Series:

In this type of series number, there are patterns in between every alternative number. It also might have a single pattern in every consecutive number. But it would be easier if we consider alternative numbers to find the pattern.

Example: 78,32,86,24,94,16,?

Ans: **102**

Explanation:

78+8 = 86

32-8 = 24

86+8 = 94

24-8 = 16

94+8 = **102**

### 9. Sum of previous Number:

In this type of series, numbers are formed by adding the previous number. If A is the first number and B is the second number, the third number will be (A+B).

Example: 11,12,23,35,58,?

Ans: **93**

Explanation:

11+12 = 23

23+12 = 35

35+23 = 58

58+35 = **93**

###
10. Percentage based number series: *(New pattern)*

It consists of a series in which numbers are formed by taking percentage of
previous number. If **A** is the first number, **B** is the second
number then **B= n%of A**, where n is any number from 1 to 100.

Example: 1500,150,30,9,?

Ans: **3.6**

Explanation:

10% of 1500 = 150

20% of 150 = 30

30% of 30 = 9

40% of 9 = **3.6**

### 11. Fraction based series:

It consists of a series in which numbers are arranged by multiplying some fraction with its previous number. If A is the first number and B is the second number then B= (x/y)A. Where x and y are natural numbers i.e. 1,2,3,4,5....

Example: 25,25,35,63,?

Ans: **138.6**

Explanation:

25*(5/5) = 25

25*(7/5) = 35

35*(9/5) = 63

63*(11/5) = **138.6**

### Author's Advice

I hope this **number series questions** set help you to attempt more in all
bank and Insurance exams. Practising daily a set of number series, including
15 missing **number series questions** and 15 wrong
**number series questions**, will help you get command over number series.
Keep practising daily. I hope you will get your desired JOB.

## 4 Comments

Nice question. Need more questions.

ReplyDeleteAgain nice

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