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Number Series Questions for Bank Exams Tips – Tricks Complete Guide

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 –

  1. 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.
  2. 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.
  3. 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.
  4. 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.
  5. 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, ..
  6. 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, …
  7. 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

  1. if all the numbers are prime, even or odd.
  2. If all the numbers are perfect squares or cubes.
  3. If all the numbers have a particular divisibility.
  4. 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.

  1. 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
  2. 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.

  1. 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
  2. 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)

  1. 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)
  2. 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)
  3. 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. 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)
  5. 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.

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201 Comments

Add a Comment
  1. 200, 240, 300, ?, 600, 1200

    1. All the series the pattern is 6/5,5/4,4/3,3/2,2/1
      Then 200×6/5=240, 240×5/4=300, 300×4/3=400, 400×3/2=600, 600×2/1=1200

    2. 200+(200/5),240+(240/4),300+(300/3)=400
      ans is 400.

  2. Find out the wrong number in the series
    100,200,264,300,316,320

  3. 250,250,244,220,160,?

    1. more than one logic is possible

  4. 11 12 20 27 93 ?

  5. what number should be replaced with ?
    1,1/125,1/27,1/64,1/?,1/216

  6. 13 ,4,25,7,15,6,19 what is the next element

    1. 10
      1+3=4
      2+5=7
      1+5=6
      1+9=10

  7. 15,16,10,33,?,66.25

    1. 15*1+1=16
      16/2+2=10
      10*3+3=33
      33/4+4=12.25
      12.25*5+5=66.25

      1. 66.25/6+6=17.04

  8. 1 2 12 63 316 ?

    1. The pattern is :

      1 * 1 + 13 = 2

      2 * 2 + 23 = 12

      12 * 3 + 33 = 63

      63 * 4 + 43 = 316

      316 * 5 + 53 = 1705

      1. How happen
        1×1+13=2. It becomes 14

      2. 1*1+13=2: how it is possible

    2. 1*1+cube of 1 =2
      2*2+cube of 2 =12
      12*3+cube of 3=63
      63*4+cube of 4=316
      316*5+cube of 5=1705

    3. 4 3 9 34 96 219 435

  9. 876 543 768 791 678 x solve thus series

  10. Can please someone solve this…
    6,14,41,………..230.
    Find the missing number..

    1. 105 will be the answer….differences are 8,27,64,125…that’s are 2^3 3^3 4^3 5^3…

  11. 48,285,52,204,65,128 which is the wrong number?

    1. 48*6-3=285, 52*4-4=204, 65*2-5=125 So 128 is wrong…..

  12. 11,10,?,100,1001,1000,10001

  13. 118,122,158,206,356,536,?

    1. Whatis the answer of that question?

  14. 1,4,10,28,—–,244 what number bus in blank

    1. 1 = 3^0 +1
      4 = 3^1 +1
      10 = 3^2 +1
      28 = 3^3 +1
      82 = 3^4 +1
      244 = 3^5 +1

      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.

      2. 1
        3^1+1=4
        3^2+1=10
        3^3+1=28
        3^4+1=82
        3^5+1=244

      3. yes 3^0=1

      4. Any number multiple with O answer will be 0
        So it’s right
        3×0=0+1=1

    2. 82
      1
      (3*1)+1=4
      (3*2)+4=10
      (3*6)+10=28
      (3*18)+28=82
      (3*54)+82=244

  15. 2673 1782 1188 792 ? 352

    1. plz give me solution

    2. 352×1.5= 528
      528×1.5= 792
      792×1.5= 1188

  16. 152,154,80,30,11,?

  17. 2 10 25 ? 81 132

  18. 0 ,12 ,120 ,56, ? ,1320 ,182

  19. 250, 275,301???????
    Please some one say

  20. 3,4,8,?,196reasoning problem question

  21. 45030 9000 1795 355 68 ?

    1. 11.6
      *5+multiple of 5

  22. 2 1 2=52
    3 1 1=61
    ? 3 1=49

    (a) 1
    (b) 4
    (c) 2
    (d) 0

  23. 21,24,32,45,63,?

    1. 86
      5 difference each

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

    3. double difference is 5

  24. 1 4 18 44 83 ?
    Any one plz tell me

    1. Ans:136

      11 12 13 14 are added with differences

  25. 340,732,1328,2200,?

    1. Now u know and for this question

      1. The answer of this question is 3372
        7^3-3,9^3+3,11^3-3,…..15^3-3=3372

    2. Hello, Angel The answer to this question is 3372
      7^3-3,9^3+3,11^3-3,…..15^3-3=3372

  26. 7 151 251 315 351 ?

    1. Ans:367
      Pattern is : 12^2 10^2 8^2 6^2 4^2

  27. this article help me sir thanks

  28. please tell me how to solve QA in IBPS Clerical exam

  29. 5,126,207,243,281,290,291

  30. i can not understand that seres

  31. 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

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

    1. 1. 2. 8. 33. 148
      1×1+1= 2
      2×2+4= 8
      8×3+9= 33
      33×4+16= 148

    2. 1×1+1, 2×2+2, 8×4+1, 33×8+2

      266

  32. 10 10 16 40 100 ?

    1. 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

    2. Is it 250

      1. 10 10 16 40 100 220

    3. 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.

  33. 12,6.5,7.5,17,42,?
    Plz tell the logic

  34. Series question…..
    22 , 10 , 8 ,12 ,40 , ?

    1. 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.

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

    3. 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

    4. Ans 304
      22*.5-1=10
      10*1-2=8
      8*2-4=12
      12*4-8=40
      40*8-16=304

  35. 16,20,47,174,855,….?

  36. 337 344 363 402 469 ?

    5814 ? 4080 3360 2730

    12 114 652 2950 ?

  37. 3 4 12 ? 576 27648 aa.64 b.96 c.36 d.52 e.non of these

  38. i can’t understand this solution pls tell me

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

  39. 4,14,31,74,?
    Plz answer this series.

  40. 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

  41. 8,12,24,2.72,108,152,?

  42. 1 2 20 ? 35152 give me solution

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

  44. 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*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?

    2. that’s my doubt solve plz

  45. 15,8,9,?,32,82.5

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

      2. How let me know the expkanation

    1. 15

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

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

    3. ans:15

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

  46. Solve this type of series
    4,1,-8,_,-20,29,-32,43

    1. 15 will b the answr

  47. wht will be answer of this following series

    4248,2112,1074,513,286.50,?

    1. 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

    2. 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

    3. 107.25
      Series_ ×1/2 +12
      ×1/2 -18
      +1/2+24
      And so on

    4. 4248/2 -12=2112
      2112/2+18=1074
      1074/2-24=513
      523/2+30=286.5
      286.5/2-36=107.25

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

    1. u did typing mistake. its 55 not 35

    2. 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. 3,3+5=8,8+5=13,13+21=34,34+35=69

      1. sorry..its 55 itself

      2. Its correct

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

    5. 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.

    6. it is 55 itself

    7. 3+5=8
      5+8=13
      8+13=21
      13+21=34
      21+34=35
      34+35=69

  49. Sir muge iska solustion chaiye
    5+3+2 = 151022
    9+2+4 = 183652
    8+6+3 = 482466
    5+4+5 = 202541
    7+2+5 = ????

    1. 143547….7*2/7*5/(14+35)-2

    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

    3. 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

    4. 7×2=14
      7×5=35
      14+35=49
      49-2=47
      =143547

    5. 143547

    6. 143547

    7. 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

    8. 5+3+2 = 151022
      9+2+4 = 183652
      8+6+3 = 482466
      5+4+5 = 202541
      7+2+5 = 143547

    9. 7+2+5 = 143547
      7×2= 14
      7×5= 35
      7×[2+5]-2. [ bich wala number (-2)]
      7×7-2= 47

  50. sir bank mack online practic set ke solution kaha milenge

    1. You should visit Online Practice Test.

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

  52. 720 180 176 44 40 10 __ __
    i- 6,2 i i) 8,6 i i i) 6,4 i v) 4,2

    1. dear ashish tomar
      its answer is 5 option ie 4,2.

      1. 6 1.5 is right answer.

    2. 6,1.5

    3. 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

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

    5. 720/4= 180 180-4= 176.
      176/4= 44. 44-4= 40
      40/4= 10. 10-4= 6

  53. Can anyone please explain this series.

    ODD ONE OUT:

    4 3 9 34 96 219 435

    Thanks

  54. 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.

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

  55. 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

  56. respected sir,
    ibps clerk ka paper kya hindi medium me ata hai…..??????please tell me…

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

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

    2. yes hind and english

      1. Plz hepl sir in english dear

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

    4. aata hai

    5. Hindi and enlish both ,u choose whatever u want

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

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