Number
Series Rules with solved Problems
Series is an important chapter from
banking examination point of view. Following are some of the important rules or
order on which the number series can be made :-
- Pure Series
- Difference Series
- Ratio Series
- Mixed Series
- Geometric Series
- Two Tier Arithmetic Series
- Other Type
1. Pure Series
In this type of number series, the
number itself obeys certain order so that the character of the series can be
found out.
The number itself may be.
- Perfect Square
Example :
121, 144, 169, 225 ?
Answer - 256
- Perfect Cube
Example :
6859, 5832, 4913, 4096, 3375, ?
Answer - 2744
2. Difference Series
2. Difference Series
Example :
1348, 1338, 1318, 1288, 1248, ?
Answer - 1198
3. Ratio Series
Example :
336, 168, 84, 42, 21, ?
Answer - 10.5
4. Mixed Series
Example :
222, 441, 1321, 2639, 7915, ?
Answer - 15827
5. Geometric Series
Example 1. 5, 35, 245, 1715, ?
Ans. 12005
Examples 2. 43923,3993, 363, 33, ?
Ans. 3
6. Two-tier Arithmetic Series
7. Other Type
To find the odd number from the
number series. In this type of series the above rules are also followed.
Some Examples ;
- 2, 3, 7, 22, 89, 440, 2677, 18740
Solution : ×1+1, ×2+1, ×3+1, ×4+1, ×5+1 ........
So, 440 is replaced by 446
- 5, 6, 14, 40, 89, 170, 291
Solution : +12, +32, +52, +72, +92
So, 14 is replaced by 15.
- 445, 221, 109, 46, 25, 114, 4
Solution : -3÷2, -3÷2........
So,46 is replaced by 53.
So,46 is replaced by 53.
- 12, 26, 56, 116, 244, 498, 1008
Solution : ×2+2, ×2+4 ×2+6, ........
So, 116 is replaced by 118
- 8, 27, 64, 125, 217, 343
Solution : 23, 33, 43, 53,.....
So, 217 is replaced by 216
Three Steps to Solve A Problem on
Series
Step 1. Determine whether the series is increasing, decreasing or
alternating.
Step 2. If the series is increasing or decreasing, then check :
- if change is slow or gradual, then it is a difference
series
- if the change is equally sharp, throughout, then it is
a ratio series.
- if the rise is very sharp initially , but slows down
later, then series may be formed by adding squared or cubed numbers
If the series is alternating or
irregular , there may be either a mix of two series or two different kinds of
operations going on alternately.
Step 3. Complete the series accordingly.
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