Number Series Tricks, Concept, Formulas, Shortcuts for Bank, SSC, UPSC Exam
Number Series Concept
Candidates who are going to apply for Bank, SSC and UPSC Exam, they might know that the chapter of Number series is especially crucial because so many questions asked in the exam from this chapter. So, here we are providing you significant number series short tricks, formulas and concepts on Number Series Questions which are usually asked in all these Exams. Apply these below given short tricks to solve questions in least time. These shortcuts will be very helpful for your upcoming Bank, SSC Exam.
Number series chapter is very scoring and less time consuming, and to make the chapter easy for you all, we are providing you some vital Maths Tricks
which will definitely make the chapter easy for you all. Questions on number
series are connected with each other and formerly you have acknowledged this
pattern, solving the question becomes very easy. Just the once you have
recognized the pattern then relate this to the number before/ after the missing
number in the sequence to get the preferred respond.
Common Patterns in "Number Series" Questions
Prime Numbers When numbers are a
series of prime numbers (a natural number which is greater than 1 and has no
positive divisors other than 1 and the number itself)
For example  11, 13, 17, 19
Squares/ Cubes When numbers are
a series of perfect square or cube roots
For example  81, 100, 121, 144,
169
Patterns in differences Calculate
the differences between the numbers given in the series provided in the
question. Then try to observe the pattern in the new set of numbers that you
have obtained after taking out the difference.
For example  2, 5, 8, 11, 14 (here
the difference between the numbers is 3, hence the next number will be 17)
Pattern in alternate numbers
when there is a pattern between every alternate or third number in the series
For example  2, 9, 5, 1, 8, 15,
11
Geometric series when each
successive number in the series is obtained by multiplying or dividing the
previous number by a fixed number.
For example  5, 45, 405, 3645
Odd one out when all but one
number is part of a series
For example  5, 10, 12, 15, 20 (Here
all numbers except, 12 are multiples of 5)
Pattern in adjacent number when
adjacent numbers in the series changes based on a logical pattern
For example  2, 4, 12, 48 (Here
the first number is multiplied by 2, the second number by 3 and the third
number by 4)
Complex series In some patterns
the differences between numbers is dynamic rather than being fixed, but there
still is a clear logical rule
For example  3, 4, 6, 9, 13, 18
(Here you can add 1 to the difference between two adjacent items. After the
first number add 1, after the second number add 2 and after the third number
you can add 3)
Using two or more basic
arithmetic functions: in some series more than one operation (+, , ÷, x) is
used
For example  5, 7, 14, 16, 32
(here you can add 2, multiply by 2, add 2, multiply by 2, and so on)
Cube roots/ square roots when
the numbers are a series of cube roots and square roots
For example  512, 729, 1000 (here
the next number in the series will be 1331)
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Now: How
to Prepare for Maths Exam
What is Number Series?
Number series is a form of
numbers in a certain string, where some numbers are incorrectly put into the
series of numbers and some number is missing in that series, we need to scrutinize
first and then find the precise number to that series of numbers.
Shortcut of "Number Series"
 Questions on number series give you a series of numbers which are all connected to each other. Once you have identified this pattern, solving the question becomes very simple.
 This pattern can be of different kinds. Check the section below for a list of common patterns which are frequently present in the Bank Exam.
 Once you have acknowledged the pattern, apply it to the number before/ after the missing number in the series to get the desired answer.
Some Important Number
Series Questions:
Question 1: In following question, a number series is given with
one term missing. Choose the correct alternative that will same pattern and
fill in the blank spaces
1, 4, 9, 16, 25, x
A.35
B. 36
C. 48
D. 49
Answer: B
Justification: The numbers are 1^{2}, 2^{2},
3^{2}, 4^{2}, 5^{2}.
.'. Missing number = 6^{2 }= 36.
.'. Missing number = 6^{2 }= 36.
Question 2: In following question, a number series is given with
one term missing. Choose the correct alternative that will same pattern and
fill in the blank spaces
20, 19, 17, x, 10, 5
A. 12
B. 13
C. 14
D. 15
Answer: C
Justification: The Pattern is  1,  2,.
.'. Missing number = 17  3 = 14.
.'. Missing number = 17  3 = 14.
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Questions and Answers
Question 3: In following question, a number series is given with
one term missing. Choose the correct alternative that will same pattern and
fill in the blank spaces
2, 3, 5, 7, 11, x, 17
A. 12
B. 13
C. 14
D. 15
Answer: B
Justification: Clearly,
the given series consists of prime numbers starting from 2. The prime number
after 11 is 13.
So, 13 is the missing number.
Question 4: In following question, a number series is given with
one term missing. Choose the correct alternative that will same pattern and
fill in the blank spaces
6, 11, 21, 36, 56,
A. 42
B. 51
C. 81
D. 91
Answer: C
Justification: The pattern is + 5, + 10, + 15, +
20,..
.'. Missing Number = 56 + 25 = 81
.'. Missing Number = 56 + 25 = 81
Question 5: In following question, a number series is given with
one term missing. Choose the correct alternative that will same pattern and
fill in the blank spaces
1, 6, 13, 22, 33,
A. 44
B. 45
C. 46
D. 47
Answer: C
Justification: The pattern is + 5, + 7, + 9, +
11,.
.'. Missing number = 33 + 13 = 46.
.'. Missing number = 33 + 13 = 46.
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a Test Now

Question 6: In following question, a number series is given with
one term missing. Choose the correct alternative that will same pattern and
fill in the blank spaces
3, 9, 27, 81,
A. 324
B. 243
C. 210
D. 162
Answer: B
Justification: Each term of the given series is obtained by multiplying its preceding term by 3.
.'. Missing number = 81 * 3 = 243.
Question 7: In following question, a number series is given with
one term missing. Choose the correct alternative that will same pattern and
fill in the blank spaces
1, 9, 17, 33, 49, 73,
Option:
A. 97
B. 98
C. 99
D. 100
Answer: A
Justification: The pattern is + 8, + 8, + 16, +
24,...
.'. Missing number = 73 + 24 = 97
.'. Missing number = 73 + 24 = 97
Question 8: In following question, a number series is given with
one term missing. Choose the correct alternative that will same pattern and
fill in the blank spaces.:
2, 5, 9, x, 20, 27
A. 14
B. 16
C. 18
D. 24
Answer: A
Justification: The pattern is + 3, + 4,...
.'. Missing number = 9 + 5 = 14.
.'. Missing number = 9 + 5 = 14.
Question 9: In following question, a number series is given with
one term missing. Choose the correct alternative that will same pattern and
fill in the blank spaces
5, 9, 17, 29, 45,
A. 60
B. 65
C. 68
D. 70
Answer: B
Justification:
The pattern is + 4, + 8, + 12, + 16, ..
.'. Missing number = 45 + 20 = 65.
.'. Missing number = 45 + 20 = 65.
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Question 10: In following question, a number series is given with
one term missing. Choose the correct alternative that will same pattern and
fill in the blank spaces
3, 7, 15, 31, 63,
A. 92
B. 115
C. 127
D. 131
Answer: C
Justification: Each number
in the series is the preceding number multiplied by 2 and then increased by 1.
Thus, (3 * 2) + 1 = 7,
(7 * 2) + 1 = 15
(15 * 2) + 1 = 31 answer so on
.'. Missing number = (63 * 2) + 1 =127.
Question 11: In following question, a number series is given with
one term missing. Choose the correct alternative that will same pattern and
fill in the blank spaces.:
1, 6, 15, x, 45, 66, 91
A.
25
B.
26
C.
27
D.
28
Answer: D
Justification: The pattern is + 5, + 9, .., +
21, + 25
.'. Missing number = 15 + 13 = 28.
.'. Missing number = 15 + 13 = 28.
Different types of Number Series
Square series: These are also
known as perfect square series which are based on square of a number in same
order. In exam it can be missing square or mistakenly Put Square in series.
Example: 289, 324, 361, 400,?
Answer:
289 = 172, 324 = 182, 361 = 192, 400 = 202, 441 = 212
Cube series: these types of
series based on perfect cube. In exam there can be missing cube or mistakenly
put cube in number series.
Example: 1728, 2197, 2744, 3375,?
Answer:
1728 = 123, 2197 = 133, 2744 = 143, 3375 = 153, 4096 = 163
Geometric Series: It is the
sequence of numbers based on ascending or descending order. Next number is
obtaining by multiplying or dividing the previous number or vice versa.
Example: 9, 54, 324, 1944,?
Answer:
9 x 6 = 54, 54 x 6 = 324, 324 x 6 = 1944, 1944 x 6 = 11664
Mixed Series: This type of number
series can be used various method. In this number may be given in addition,
subtraction, multiplication and division in the alternate numbers. It is
created according to any nonconventional rule.
Example: 10, 31, 94, 283,?
Answer:
10 x 3 = 30 + 1 = 31,
31 x 3 = 93 + 1 = 94,
94 x 3 = 282 + 1= 283,
283 x 3 = 849 + 1 = 850,
So the missing number is 850.
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