* Number Series* – This article provides you about how number series questions are coming in reasoning and maths exam. A sample of number series test, Math shortcut tricks & techniques.

## What is Number Series?

A series is an informally speaking of numbers. it is the sum of the terms of a sequence. Finite terms and series are defined by first and last terms while infinite series is endless. Number series is a form of series in which particular numbers are present in a particular order and missing numbers are to find out, nowadays number series is an important part of each and every government exams, especially in banks. It acquires a high weight.

A series is solved by particular number series tricks, formulas, attitudes of a person. There are various types of series present in the exam. Series can be of many types of Numbers like Natural numbers, Whole numbers, Contagious numbers etc. A sequence is described as a list of elements with a particular order. **Also, Check –** How to Prepare for Bank Exams?

### Different types of Number series?

There are multiple types of number series available –

- Integer Number Sequences – There are particular formulas tricks to solve number series. Each number series question is solved in a particular manner. This series is the sequence of real numbers decimals and fractions. Number series example of this is like 1.3.5.9….. etc. in which what should come next is Solved by number series shortcuts tricks performed by the candidate.
- Rational Number Sequences – These are the numbers which can be written as a fraction or quotient where numerator and denominator both consist of integers. An example of this series is ½, ¾, 1.75 and 3.25.
- Arithmetic Sequences – It is a mathematical sequence which consisting of a sequence in which the next term originates by adding a constant to its predecessor. It is solved by a particular formula given by the mathematics Xn = x1 + (n – 1)d. An example of this series is 3, 8, 13, 18, 23, 28, 33, 38, in which number 5 is added to its next number.
- Geometric Sequences – It is a sequence consisting of a multiplying so as to group in which the following term starts the predecessor with a constant. The formula for this series is Xn= x1 r n-1. An example of this type of number sequence could be the following:

2, 4, 8, 16, 32, 64, 128, 256, in which multiples of 2 are there. - Square Numbers – These are also known as perfect squares in which an integer is the product of that integer with itself. Formula= Xn= n2. An example of this type of number sequence could be the following:

1, 4, 9, 16, 25, 36, 49, 64, 81, .. - Cube Numbers – Same as square numbers but in these types of series an integer is the product of that integer by multiplying 3 times. Formula= Xn=N3. Example:-1, 8, 27, 64, 125, 216, 343, 512, 729, …
- Fibonacci Series – A sequence consisting of a sequence in which the next term originates by addition of the previous two

Formula = F0 = 0 , F1 = 1

Fn = Fn-1 + Fn-2. An example of this type of number sequence could be the following:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, …

**Shortcuts – Tricks for Number Series**

Number Series puzzles can be solved by various tricks provided by mathematics.

Firstly check the direct formulas as in like check

- if all the numbers are prime, even or odd.
- If all the numbers are perfect squares or cubes.
- If all the numbers have a particular divisibility.
- If all the numbers are succeeding by some additions or subtraction or multiplications or divisions by a particular number or addition of their cubes and squares. Number series methods are teaches by a professional to a student so that number series can be solved quickly and correctly. Now comes the
**Number series questions for IBPS Exam**.

#### How to Solve Number Series Problem?

Ans. As talked about over the number series problems are solved by some particular number series rules applied logically.There are various methods to solve number series like predict the next number ii.e which number will come next by applying rules like by adding, subtracting etc. or by applying various shortcut tricks.

##### What Types of questions asked in bank exams related to number series?

Ans. There are various types of questions asked in bank exams:-

Type I: In this kind of inquiries, a series of numbers is given with one number missing represented by a question mark. The Candidate has to select from the options available to correct option in place of the question mark.

The given sequences of numbers will be such that every number takes after its predecessor in the same way, i.e., according to a particular pattern. Hopefuls are required to figure out the right ways in which the sequence is formed and thereafter find out the number to finish the arrangement.

**30, 34, 43, 59, 84, 120,?**

(1) 169

(2) 148

(3) 153

(4) 176

(5) None of these

Solution: (1) The given pattern is:

+22, 32, +42, + 62, +72

So, missing term is 169=120 +72**40, 54, 82, ?, 180 ,250**

(1) 142

(2) 124

(3) 136

(4) 163

(5) None of these

Solution: (2) The pattern is: +14, + 28, + 42, + 52, + 70

So, missing term is 82 + 42=124

Type 2 – In this we are given a sequence of number. The whole sequence, except the odd number, follow a certain rule. You need to search that number which does not follow the rule.

**0, 1,3,8,18,35,264**

(1) 62

(2) 35

(3) 18

(4) 8

(5) None of these

Solution: (1) The pattern is +(02+1), +(12+1), + (22+1) ,+ (32+1), + (42+1), + (52+1)

So, 62 is wrong and must be replaced by 35 + (52+1) = 62**1, 9, 125, 49, 729, 121, 2147**

(1) 2147

(2) 729

(3) 125

(4) 1

(5) None of these

Solution: (1)

**Some of the questions asked in number series previous papers –**

Directions: (1-5) In each of these questions a number series is given. In each series stand out number isn’t right. Discover the wrong number. (IBPS CWE PO/MT Exam 2012)

- 5531 5506 5425 5304 5135 4910 4621

(1) 5531

(2) 5425

(3) 4621

(4) 5135

(5) 5506

Solution: The number should be 5555 in place of 5531.

-72, -92, -112, -132, -152, -172…

Ans: (1) - 6 7 9 13 26 37 69

(1) 7

(2) 26

(3) 69

(4) 37

(5) 9

Solution: The number should be 21 in place of 26.

+1, +2, +4, +8, +16, +32

Ans: (2) - 1 3 10 36 152 760 4632

(1) 3

(2) 36

(3) 4632

(4) 760

(5) 152

Solution: The number should be 770 In place of 760.

×1 +2, ×2 +4, ×3 +6, ×4 + 8, ×5 +10, ×6 + 12, …

Ans: (4) - 4 3 9 34 96 219 435

(1) 4

(2) 9

(3) 34

(4) 435

(5) 219

Solution: The series is 02+ 4, 12+2, 32+0, 62-2, 102-4, 152- 6,212 – 8…

Hence, 435 should be replaced with 433

Ans: (1) **157.5 45 15 6 3 2 1**

(1) 1

(2) 2

(3) 6

(4) 157.5

(5) 45

Solution: The number should be 2 in place of 1.

3.5, 3, 2.5, 2, 1.5, 1, .

Also Check –

Logical Reasoning Questions For IBPS Exam

It’s a very easy way to secure higher marks in banks exams and interview. Read How to Prepare for Bank Exam Interview? you should also solve some number series practice sets with answers to know about number series rules. hope this article helpful to you. help other students by giving your concept and techniques. If you want to share something with us use our comment section and also ask for your queries.

15,16,10,33,?,66.25

1 2 12 63 316 ?

The pattern is :

1 * 1 + 13 = 2

2 * 2 + 23 = 12

12 * 3 + 33 = 63

63 * 4 + 43 = 316

316 * 5 + 53 = 1705

876 543 768 791 678 x solve thus series

Can please someone solve this…

6,14,41,………..230.

Find the missing number..

105 will be the answer….differences are 8,27,64,125…that’s are 2^3 3^3 4^3 5^3…

48,285,52,204,65,128 which is the wrong number?

11,10,?,100,1001,1000,10001

101

101

118,122,158,206,356,536,?

Whatis the answer of that question?

1,4,10,28,—–,244 what number bus in blank

1 = 3^0 +1

4 = 3^1 +1

10 = 3^2 +1

28 = 3^3 +1

82 = 3^4 +1

244 = 3^5 +1

dear friend . you had said 1=3^0+1 in the above first statement.

but i say its wrong. because

3^0=1

therefore 3^0+1=2.

hence please try any other criteria to solve this.

1

3^1+1=4

3^2+1=10

3^3+1=28

3^4+1=82

3^5+1=244

yes 3^0=1

82

1

(3*1)+1=4

(3*2)+4=10

(3*6)+10=28

(3*18)+28=82

(3*54)+82=244

2673 1782 1188 792 ? 352

plz give me solution

352×1.5= 528

528×1.5= 792

792×1.5= 1188

528

152,154,80,30,11,?

2 10 25 ? 81 132

0 ,12 ,120 ,56, ? ,1320 ,182

250, 275,301???????

Please some one say

328

328

328

3,4,8,?,196reasoning problem question

45030 9000 1795 355 68 ?

11.6

*5+multiple of 5

2 1 2=52

3 1 1=61

? 3 1=49

(a) 1

(b) 4

(c) 2

(d) 0

21,24,32,45,63,?

86

5 difference each

86

Logic….+3,+8,+13,+18….than next will be +23(According to gap of increasing +5)….63+23-86…

And.86..

1 4 18 44 83 ?

Any one plz tell me

Ans:136

11 12 13 14 are added with differences

136

340,732,1328,2200,?

Now u know and for this question

7 151 251 315 351 ?

367

this article help me sir thanks

please tell me how to solve QA in IBPS Clerical exam

5,126,207,243,281,290,291

i can not understand that seres

आप अपने घर से 5 km पूर्व में जाते हैं।तत्पश्चात द०प दिशा में 8km जाते हैं।तत्पश्चात पश्चिम उत्तर दिशा में 8km जाते हैं अब आप अपने घर से कितना दूर हैं।

A-4.55km

B-3.45km

C-5.33km

D-6.312km

According to me your option is incorrect….the ans will be 7 km..

1,2,8,33,?

148

1. 2. 8. 33. 148

1×1+1= 2

2×2+4= 8

8×3+9= 33

33×4+16= 148

148

1×1+1, 2×2+2, 8×4+1, 33×8+2

266

10 10 16 40 100 ?

220

1. 0,6,24,60, 120

2. 1^3-1 , 2^3-2, 3^3-3, 4^3-4, 5^3-5

3. 10 10 16 40 100 220

Is it 250

Explain dir

120

10 10 16 40 100 220

Its 280

bro the next number will be 220.the logic is….(n*n*n)-n.the second term comes when (0*0*0)-0=0 is added which is 10+0=10.next term (2*2*2)-2=6.add 6+10=16 and soo on…so last term will be 220.

143547

12,6.5,7.5,17,42,?

Plz tell the logic

24.5

Series question…..

22 , 10 , 8 ,12 ,40 , ?

132

304

224

the series may be:22*1-12=10

10*2-12=8

08*3-12=12

12*4-12=36

36*5-12=168 but in the question 40 is there in the place of 36 ,so the series may wrong i think so.

304

304

It is 304 , 22*0.5-1=10,10*1-2=8,8*2-4=12,12*4-8=40,40*8-16=304

22*0.5=11-1=10

10*1=10-2=8

8*2=16-4=12

12*4=48-8=40

40*8=320-16=304

Ans 304

22*.5-1=10

10*1-2=8

8*2-4=12

12*4-8=40

40*8-16=304

Is it 14

16,20,47,174,855,….?

337 344 363 402 469 ?

5814 ? 4080 3360 2730

12 114 652 2950 ?

3 4 12 ? 576 27648 aa.64 b.96 c.36 d.52 e.non of these

15

i can’t understand this solution pls tell me

0,1,3,8,18,35,264

4,14,31,74,?

Plz answer this series.

Plz mujhe kuch bhi understand nahi ho raha kis number se add karte ho mujhe 1 St one question understand nahi hua plz explain me

8,12,24,2.72,108,152,?

1 2 20 ? 35152 give me solution

How many rational numbers are there between -1/3 and 1/3?

2/3

4 3 9 34 96 219 435

(1) 4

(2) 9

(3) 34

(4) 435

(5) 219

Solution: The series is 02+ 4, 12+2, 32+0, 62-2, 102-4, 152- 6,212 – 8…

Hence, 435 should be replaced with 433

i didnt understood this .how this seris formed

1*1+2=3

3*2+4=10

10*3+6=36

36*4+8=152

152*5+10=770

770*6+12=4632 understood this?

that’s my doubt solve plz

15,8,9,?,32,82.5

15

15*.5+.5=8

8*1+1=9

9*1.5+1.5=15

How let me know the expkanation

15

15*.5+.5=8,8*1+1=9,9*1.5+1.5=15

.5+.5,*1+1,*1.5+1.5*2+2,*2.5+2.5

15

15

ans:15

pattern is 15*0.5+0.5=8 8*1+1=9 9*1.5+1.5=15 15*2+2

Solve this type of series

4,1,-8,_,-20,29,-32,43

15 will b the answr

How?

15

11

wht will be answer of this following series

4248,2112,1074,513,286.50,?

107.25

4248-2112=2136=(4248/2)+30

2112-1074=1038=(2112/2)+42

1074-513=561=(1074/2)+54

513-286.5=226.5=(513/2)+66

so, 286.5/2=113.25

hence, next no. will be 113.25+66=179.25

And: 179.25

The series is

From decreasing to increasing order

X*2-6*10, X*2-6*8,….

So the first number

179.25*2-6*12=286.5

107.25

Series_ ×1/2 +12

×1/2 -18

+1/2+24

And so on

4248/2 -12=2112

2112/2+18=1074

1074/2-24=513

523/2+30=286.5

286.5/2-36=107.25

What is next no. Of this question 3,5,8,13,21,34,35,?,

Please explain

u did typing mistake. its 55 not 35

89

89 is the next no

The series is as follows 1st no is add to the 2nd no than the 3rd no is found.in this series 35 is replaced by 55 than you find automatically the correct answer.

3,3+5=8,8+5=13,13+21=34,34+35=69

sorry..its 55 itself

Its correct

u did type mistake …the last number is 55….so the ans is 55+34=89

question is wrong. 55 replace 35

3,5,8,13,21,34,55,89……

fibonacci series

Fn = Fn-1+Fn-2 where F0=0,F1=1.

it is 55 itself

3+5=8

5+8=13

8+13=21

13+21=34

21+34=35

34+35=69

Sir muge iska solustion chaiye

5+3+2 = 151022

9+2+4 = 183652

8+6+3 = 482466

5+4+5 = 202541

7+2+5 = ????

143547….7*2/7*5/(14+35)-2

7+2+5= first step- multiply first two digits = 14

second step – multiply first and last digits =35

third step – add 14+35 = 49

fourth step – 49-2(second digit)= 47

Answer 143547

143547

5*3=15

5*2=10 then add both number

15+10=25 then sub from 3 means 25-3=22

152022

Similarly

9*2=18

9*4=36 then add both number 18+36=54

Then sub middle digit 54-2=52

183652

Similarly

7*2=14

7*5=35 then add both number 14+35=49

Then sub from middle digit 49-2=47

Ans is 143547

7×2=14

7×5=35

14+35=49

49-2=47

=143547

143547

143547

143547

series is like

5*3=15

5*2=10

15+10-3(middle no. in 5+3+2)=22

by combining them 15 10 22

similarly 7*2=14

7*5=35

14+35-2=47

so ans is 143547

1435

143547

143548

5+3+2 = 151022

9+2+4 = 183652

8+6+3 = 482466

5+4+5 = 202541

7+2+5 = 143547

7+2+5 = 143547

7×2= 14

7×5= 35

7×[2+5]-2. [ bich wala number (-2)]

7×7-2= 47

sir bank mack online practic set ke solution kaha milenge

You should visit Online Practice Test.

dear sir wht would be the ans of my post query. plzz ans me sir asap

720 180 176 44 40 10 __ __

i- 6,2 i i) 8,6 i i i) 6,4 i v) 4,2

dear ashish tomar

its answer is 5 option ie 4,2.

6 1.5 is right answer.

6,2

6,1.5

720 180 176 44 40 10 _ _

1.5*4=6

6+4=10

10*4=40

40+4=44

44*4=176

176+4=180

180*4=720 so answer is 6,1.5

6 and 1.5.. first divide by four in next subtract by 4.

720/4= 180 180-4= 176.

176/4= 44. 44-4= 40

40/4= 10. 10-4= 6

6,2

Can anyone please explain this series.

ODD ONE OUT:

4 3 9 34 96 219 435

Thanks

In above given type 1 number series ques

is the pattern additions of squares?

30+4,34+9,43+16,59+25,84+36, 120 +49 =>169

Can you plz explain the published solution.

First no. Ke bad 2,3,4,5….ka square add kiya h.

sir

. i forget to take print out of ibps rrb officer assistant 2015 application form.my reg. no. is 1430058445 and pass:-LF2N59SP.pls send to ankitece2011@gmail.com and tell me how to download it again.plsss rply fast

respected sir,

ibps clerk ka paper kya hindi medium me ata hai…..??????please tell me…

hindi and english dono me ata h hme choose karna hota h

hello mam series ko solve krne ki koi shortcut trick h kya

yes hind and english

Plz hepl sir in english dear

Check English Preparation tips – tricks here.

Ibps ke sbki exam hindi eng dono languages m aate hai.

Nahi

aata hai

Hindi and enlish both ,u choose whatever u want

yes deepali ibps clerk paper Hindi or English dono hi language mai aata hh.