SHORTCUTS AND TRICKS TO SOLVE NUMBER SERIES IN COMPETITATIVE EXAMS

           

                          Few tricks to solve series questions

Despite the fact that it is extremely difficult to lay down all possible combinations of series, still if
you follow few steps, you may solve a series question easily & quickly.

-Step 1: Do a preliminary screening of the series. If it is a simple series, you will be able to solve this
easily.

E.g. 14, 14, 26, 26, 38, 38, 50, ?, ?

Explanation: In this simple addition with repetition series, each number in the series repeats itself, and then increases by 12 to arrive at the next number.


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-Step 2: If you fail in preliminary screening then determine the trend of the series. Determine
whether this is increasing or decreasing or alternating

-Step 3: (A) Perform this step only if a series is increasing or decreasing
Use following rules:

-I. If rise is slow or gradual, this type of series is likely to have an additional based increase.
Successive numbers have been found by adding some numbers

-II. If rise is very sharp initially but slows down later on, the series is likely to be formed by
adding squared or cubed numbers.

E.g 5, 6,? , 40, 89, 170, 291.

Explanation: starting with 5, we add  square :+1^2, +3^2, +5^2, +7^2, +9^2.
we get 15.

-III. If the rise of a series is throughout equally sharp, the series is likely to be multiplication
based

E.g.  24, ?,208 , 622, 1864.

We observe that there is sharp rise ,so it can be a multiplication series

208*3=624-2=622.
Also 622*3=1866-2=1864.
So, 24*3=72-2=70 which is our answer.

IV. If the rise is irregular and haphazard, there may be two possibilities. Either there may be a
mix of two series or two different kinds of operations may be going on alternately.

 (The first is very likely when the increase is very irregular: the second is more likely when there
is a pattern, even in the irregularity of the series.)

E.g  8, 43, 11, 41, __, 39, 17
A.  8
B.  14
C.  43
D.  44

Explanation: This is a simple alternating addition and subtraction series. The first series begins with 8 and adds 3; the second begins with 43 and subtracts 2

Step 3: (B) to be performed when series is alternating
If the rise is irregular and haphazard, there may be two possibilities. Either there may be a mix of
two series or two different kinds of operations may be going on alternately.

-(The first is very likely when the increase is very irregular: the second is more likely when there is a pattern, even in the irregularity of the series.)


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