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Number Series

short cut

techniques

number  series  canbe  considered  as  acollection of numbers inwhich all  the terms are

formed  according  to  someparticular  rule  or  all  the  termsfollow  a  particular  pattern.  Therelation  of  any  term  to  itspreceding  term  will  be

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same through out the series.

You have  to  find out  the  rule  in which

the  terms  of  the  series  are  selected  and

depending on that rule you have to find

out  the  missing  number.  There  is

no definite rule for the series. Generally

the series can be of the following types. 

Prime Series : IN which the terms

are the prime numbers in Order

Ex : 2, 3, 5, 7, 11, 13, _ , 19

Here  the  terms  of  the

series  are  the  prime

numbers  in  order.  The

prime  number  after  13

is 17. So  the answer  to

this question is 17.

Alternate Primes : 

Ex: 2, 5, 11, 17, 23, _, 41

Here  the  series  is

framed  by  taking  the

alternative  prime

numbers. After  23,  the

prime  numbers  are  29

and  31.  So  the  answer

is 31.

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is 31.

Every  Third  number  can  be  the

sum  of  the  preceding  two

numbers:

Ex : 3, 5, 8, 13, 21

Here starting from third

number

 3 + 5 = 8

 5 + 8 = 13

 8 + 13 = 21

So,  the

answer  is

13  +  21  =

34

Every  Third  number  can  be  the

product  of  the  preceeding  two

numbers

Ex : 1, 2, 2, 4, 8, 32. _

Here  starting  from  the

third number

1 X 2 = 2

2 X 2 = 4

2 X 4 = 8 

4 X 8 = 32

So,  the

answer  is  8

X 32 = 256

The difference of any  term from

its  succeding  term  is  constant

(either  increasing  series  or

decreasing series :

Ex  : 4, 7, 10, 13, 16, 19, _,

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Here  the  difference  of

any  term  from  its

succeding term is 3.

7  4 = 3

10  7 = 3

So,  the

answer  is

19 + 3 = 22

The  difference  between  two

consecutive  terms  will  be  either

increasing  or  decreasing  by  a

constant number :

Ex : 2, 10, 26, 50, 82, _

Here,  The  difference

between  two

consecutive terms are

10  2 = 8

26  10 = 16

50  26 = 24

82  50 = 32

Here,  the

difference is

increased

by  8  (or

you can say

the

multiples  of

8).  So  the

next

difference

will  be  40

(32  +  8).

So,  the

answer  is

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answer  is

82  +  40  =

122

Ex : 63, 48, 35, 24, 15, _

Here,  the  difference

between  the  two  terms

are

63  48 = 15

48  35 = 13

35  24 = 11

24  15 = 9

Here,  the

difference is

decreased

by  2.  So,

the  next

difference

will  be  7.

So,  the

answer  is

15  7 = 8.

The  difference  between  two

numbers  can  be  multiplied  by  a

constant number :

Ex : 15, 16, 19, 28, 55, _

Here,  the  differences

between  two  numbers

are

16  15 = 1

19  16 = 3

28  19 = 9

55  28 = 27

Here,  the

difference is

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difference is

multiplied

by  3.  So,

the  next

difference

will  be  81.

So,  the

answer  is

55  +  81  =

136

The  difference  can  be multiplied

by  numbers  which  will  be

increasing by a constant number

:

Ex : 2, 3, 5, 11, 35, _

The difference between

two numbers are

3  2 = 1

5  3 = 2

11  5 = 6

35  11 = 24

Here,  the

differences

are

multiplied

by  numbers

which are in

increasing

order.

Differences

are 

1

1  x  2

= 2

2  x  3

03/11/2015 Number Series short cut techniques | Gr8AmbitionZ

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2  x  3

= 6

6  x  4

= 24

So,

the

next

differe

nce

will be

24 x 5

=  120.

So,

the

answe

r  is 35

+  120

= 155.

Every  succeeding  term  is  got  by

multiplying the previous term by

a  constant  number  or  numbers

which follow a special pattern. 

Ex : 5, 15, 45, 135, _

Here, 5 x 3 = 15

15 x 3 = 45

45 x 3 = 135

So,  the

answer  is

135  x  3  =

405.

Ex : 2, 10, 40, 120, 240, _

Here, 2 x 5 = 10

10 x 4 = 40

40 x 3 = 120

120 x 2 = 240

03/11/2015 Number Series short cut techniques | Gr8AmbitionZ

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120 x 2 = 240

So,  the

answer  is

240  x  1  =

240

In  certain  series  the  terms  are

formed  by  various  rule

(miscellaneous  rules).  By  keen

observation you have to find out

the  rule  and  the  appropriate

answer.

Ex : 4, 11, 31, 90, _

Terms are,

4 x 3  1 = 11

11 x 3  2 = 31

31 x 3  3 = 90

So,  the

answer  will

be  90  x  3 

4 = 266

Ex : 3, 5, 14, 55, _

Terms are,

3 x 2  1 = 5

5 x 3  1 = 14

14 x 4  1 = 55

So,  the

answer  will

be  55  x  5 

1 = 274

Ex : 3, 7, 23, 95, _

Terms are,

3 x 2 + 1 = 7

7 x 3 + 2 = 23

23 x 4 + 3 = 95

03/11/2015 Number Series short cut techniques | Gr8AmbitionZ

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23 x 4 + 3 = 95

So,  the

answer  will

be 95 x 5 +

4 = 479

Ex : 6, 17, 38, 79, _

Terms are,

6 x 2 + 5 = 17

17 x 2 + 4 = 38

38 x 2 + 3 = 79

So,  the

answer  is

79 x 2 + 2 =

160

As we  already  told,  there  is  no  rule  or

logic  to  solve  these  type  of  problems.

Only  practice  can  make  your  brain

sharp to understand the logic in a quick

glance.  so  do  as  many  problems  on

number series as possible.

Now lets do some Examples on Number

Series >>

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• Reply •

Sreekutty  •  3 years ago

The answer to the second lastquestion is wrong..Q : 3,7,23,95,

3*2+1 = 77*3+2= 2323*4+3 = 9595*5+4= 479.. :)

 △ ▽  

The Back BencherTeachers  •  3 years ago

Thank you so much for theCorrection Sreekutty... We'vecorrected the mistake... Sorryfor the inconvenience...

 Recommend  1

Share ›

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03/11/2015 Number Series short cut techniques | Gr8AmbitionZ

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• Reply •

for the inconvenience...

Please feel free to point it out,when ever you find a mistakehere.... Good Day

 △ ▽  

• Reply •

sita manohar akella•  3 years ago

3rd ans should be 21+13 = 34.. i think

 △ ▽  

• Reply •

Shiv RK  •  3 years ago

Thats a typing mistake SitaManohar. Corrected now...

Thank you so much for theupdate

 △ ▽  

• Reply •

Siya Singh  •  3 years ago

Mistake not corrected yet.Please correct d same. Onceagain thanks for lovelynumeric series. Amazing Blog:)

 △ ▽  

• Reply •

Shiv RK  •  3 years ago

Oops sorry... There might beserver problem at the time ofcorrection.. Did it now.. Checkonce :)

Thank you so much for theconcern Siya Singh.

 △ ▽  

Anonymous•  2 years ago

hello sir now for up comingbank exams there is a changein the pattern of number series.for example: 4,11,31,902,a,b,c,d than what will be inthe place of d

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03/11/2015 Number Series short cut techniques | Gr8AmbitionZ

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• Reply •

the place of din this they going to ask now am applied for bank examwithin one month am going towrite the exam.so i cant able tosolve this pattern can youplease help me in this.this is my mail idchandrakala.aakula@gmail.com

 △ ▽  

• Reply •

Swathi V  •  2 years ago

Hi .. can u pls tell when mightbe SBI Associate clerk examnotification 2014 going to be ..

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• Reply •

ratna  •  2 years ago

madam can u pls uplaodwrong no series & missingterm practice problems becoznow a days banks are askingthese type of questions ratherthan normal no.series

 △ ▽  

• Reply •

ABHIMANYU KUMAR•  2 years ago

36 △ ▽  

• Reply •

Krantikumar Gaikwad•  2 years ago

mam please upload more no. of problem in pdfformat..

 △ ▽  

• Reply •

Anonymous  •  a year ago

3,13,4,15,5,17,6,19,7_What will be the technique forthis series and the answerplease tell

 △ ▽  

prasa 

•  a month ago

>Anonymous

3+10=13

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03/11/2015 Number Series short cut techniques | Gr8AmbitionZ

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• Reply •

3+10=134+11=155+12=176+13=197+14=21

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Anonymous  •  a year ago

Alternate increases by 1 i.e,3,4,5,6,7,... And rest increasesby 2 i.e, 13,15,17,19, and so itwill be 21(odd numbers)

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