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Number series short
Tricks & Questions with
solutions
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Questions on number series are prevalent in
most of the exams. Almost 4-5 Questions comes
in exam from this topic. These questions are
based on numerical sequences that follow a
logical rule/ pattern based on elementary
arithmetic concepts. A particular series is
given from which the pattern must be analyzed.
You are then asked to predict the next number
in the sequence following the same rule.
Below are the common pattern of questions
usually asked in numbers series:
I. Fibonnaci Series
The Fibonnaci sequence is a series of numbers
where a no. is found by adding up the nos.
before it. Let us understand the series with the
help of an example:
Example 1:
Number series is a arrangement of numbers in
a certain order, where some numbers are
wrongly put into the series of numbers and
some number is missing in that series, we need
to observe and find the accurate number to the
series of numbers.
Tips For Number Series
1 ) Try to observe if there are any familiar
numbers in the given series.
2 ) Familiar numbers are the numbers which
which are easy to identify like primes numbers,
perfect squares, cubes.
3 ) If you are unable to
find familiar number, Calculate the differences
between the numbers and observe the pattern in
the differences.
4) If the differences are growing slowly it
might be an addition or subtraction series or If
the differences are growing rapidly it might be
a square series, cube series, or multiplicative
series.
5) If the differences also are not having any
pattern then observe every alternate number
(ie every 3rd number form a series) for any
pattern.
6) The possible cases may be like sum or the
average of two consecutive numbers gives 3rd
number.
7 )If still you do not find any pattern, it signifies
that the series follows a complex pattern. Check
for cases like multiplying the number and
adding/subtracting a constant number from it to
reach the pattern.
0,1,1,2,3,5,8,13,21,___.
Example 2:
20, 12, 32, 44, 76, 120,____.
II. Addition series
There can be 2 types of pattern in addition
series.
(A) Same number Addition series
In this type of series, the difference between 2
consecutive elements is same i.e. same digit is
to be added to the previous element to obtain
the next element.
Example 3:
3, 6, 9, 15, 18,___.
Sol. In the given series, the difference between
the two consecutive elements is same i.e 3.
In this type of series, the number added to each
term is in increasing order.
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Example 6:
94, 90, 85, 79, 72, 64,___.
Sol. Here the difference between 2 consecutive
elements is in increasing order.
(B) Increasing order Addition series
In the given series, the difference between 2
consecutive numbers is in increasing order.
Example 4:
2, 5, 9, 14, 20, 27,____.
Sol. In the given series, the difference between
2 consecutive numbers is in increasing order i.e
3,4,5,6,7 and 8 respectively.
IV. Multiplication Series
(A) Same number multiplication Series
In this series, the ratio between 2 consecutive
elements is same.
Example 7:
4, 12, 36, 108, 324,____.
III. Subtraction series
In the given series, previous element is
multiplied by 3 to obtain the next element and
therefore the ratio between 2 consecutive
elements is same.
(A) Same Number Subtraction Series
In this type of series, each time the same
number is subtracted from the previous element
to obtain the next element.
Example 5:
52, 49, 46, 43, 40,____.
Sol. Here the difference between 2 consecutive
nos. is 3.
(B) Increasing order of Multiplication Series
In this type of series, elements are multiplied in
increasing order to find the next element.
Example 8:
5, 5, 7.5, 15,___.
(B) Increasing order Subtraction Series
In the given series, the ratio between 2
consecutive elements is in increasing order and
elements are multiplied by the numbers in
increasing order.
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