# Coding and Number Series Tips, Tricks and Shortcuts

## Easiest Tips and Tricks for Coding and Number Series

Here, In this Page Tips and Tricks for Coding and Number Series is given. Competitive examination is all about timing.  Lesser the time consume better will be the result. But many students miss this thing. Time management can be done by practicing more and more questions. ## Coding and Number Series Tips, Tricks and Shortcuts

### Number Series Definition and Types:

Number series is a series where the candidate will have to observe and guess the hidden code of two or more sets of numbers.
Now the main important thing is to solve the questions. Before solving the questions lets have a look at the Solved Questions that will help us in a better understanding of questions.

Number Series TypesExplanation
Add up Series (+)Just adding a constant number everytime. For example: (13, 18, 23, 28 ….).
Add up Series (- ) Just subtracting a constant number every time. For example : (28, 23, 18, 13 ……).
Step up Series (+/-)Adding/Subtracting a variable number, in this case we are adding 2n for n = 0, 1, 2, 3 …… For example : 0, 2, 6, 12, 20…. or 20, 12, 6, 2, 0, 0 …..
Square up (+/-)Given series is in the square of n where n= 1,2,3,4,5,6… i.e. 1,4,9,16,25,36…
Square add up Series(+/-)Adding n2 every time and incrementing value of n starting from 1 i.e. 1,5, 14, 30, 55, …… and Subtracting n2 every time and decrementing value of n i.e. 34, 33, 29, 20,
Cube Up Series :Given series is in the cube of n where n = 1,2,3,4,5,6… i.e. 1,8,27,64,125,216….
Cube add up Series : Adding $n^{3}$ every time with incrementing of n by 1 i.e. 1,9,36…
Prime up(+/-) :+Sequence consist of Prime numbers i.e. 2,3,5,7,11…
Prime Square up(+/-) : Sequence consist of squares of prime numbers i.e. 4,9,25,49,121..
Arithmetic Series:Sequence consist of Arithmetic Progression i.e. 3,6,9,…
Geometric Series :Sequence consist of Geometric Progression i.e. 2,6,18,54,…

### Number Series Tricks and Shortcuts

A series on Perfect Square is most of the times based on the perfect squares of number in a generic order or generally one number is missing in this type of series

Example:-
144, 169, 289,3 24?
144= 122 , 1692, 289= 172, 324= 182

This pattern is based on the cubes of numbers in a particular order and one of the numbers is missing in the series.

Example:-
343, 512, 729, 1000?
73, 83, 93, 103

It is based on either descending or ascending order of numbers and each successive number is obtained by dividing or multiplying the previous number by a specific number.

Example:-
5, 45, 405, 3645?
Sol: 5 x 9 = 45, 45 x 9 = 405, 405 x 9 = 3645, 3645 x 9 = 32805.

It consists of a series in which the next term is obtained by adding/subtracting a constant number to its previous term.

Example:
4, 9, 14, 19, 24, 29, 34 in which the number to be added to get the new number is 5.
Now, we get an arithmetic sequence 2,3,4,5.

In a two step Arithmetic series, the differences of consecutive numbers themselves form an arithmetic series.

Example:
1,  3,  6,  10,  15…..
Sol: 3 – 1 = 2, 6 – 3 = 3, 10 – 6 = 4, 15 – 10 = 5….
Now, we get an arithmetic sequence 2, 3, 4, 5

### Questions and Answers For Number series

Question 1 :

In a certain code, the number 12345 is coded as 36936. What will be the code for the number 99325?

A) 99966
B) 37649
C) 78356
D)33965

Explanation:

If we take 1 and multiply it by 3 and repeat the same with all the other digits of the first number, we will have:

• 1 gives 3
• 2 gives 6
• 3 gives 9
• 4 gives 12 = 1+2 = 3
• And 5 gives 15 = 1+5 = 6

Here, the new number we will get is 36936. Now, this was the main trick so we will apply the same for 99325.

• 9 when multiplied by 3, will give 27 = 2+7 = 9.
• Also, 3 when multiplied by 3, will give 9.
• And 2 will similarly yield 6.
• 5 will give 15 = 1+5 = 6

New number = 99966

Question 2 :

Look at series 4 , 2, 1, $\frac{1}{2} \$, $\frac{1}{4} \$ …. what would come next?

A) $\frac{1}{3} \$
B) $\frac{1}{8} \$
C) $\frac{1}{16} \$
D) $\frac{2}{16} \$

Explanation:

$\frac{4}{2}$ = 2
$\frac{2}{2}$ = 1
$\frac{1}{2}$ = $\frac{1}{2}$
$\frac{\frac{1}{2}}{2} \$ = $\frac{1}{4}$
$\frac{\frac{1}{4}}{2}$ = $\frac{1}{8}$ and so on.

Question 3:

If the word is KEYBOARD written as LGBFTGYL  then, what will be the code for COMPUTER ?

A)DQPYYKY
B)LDZCPBSE
C)LDZCBPES
D)LGBFTLYG

Explanation:

The 1st, 2nd, 3rd ………. And so on alphabet of the word are moved 1, 2, 3….. Steps forward respectively.

KEYBOARD will be coded as LGBFTGYL

COMPUTER will be written as  DQPYYKY

Question 4 :

If we can code GLACIER as “25EICAL”, in some alpha-numeric coding format, and SEA a “20E”, what will be the code for DESERT?

A)24ESER
B)24RESE
C)24SERE
D)20 ESER

Explanation:
The number corresponding to the first and last letter of the word is added, and replaced with the first letter of the word; the rest is written in reverse order.
GLACIER: G=7 R=18, 7+18=25, SO GLACIER is 25EICAL.
SEA: S=19 A=1, 19+1=20,SO SEA is 20E.
DESERT: D=4 T=4, 20+4=24, SO DESERT is 24RESE.

Question 5:

Find the wrong number in the given series.

25 61 112 181 265 365

A)85
B)112
C)150
D)181

Series Pattern
$3^{2} + 4^{2} = 25$
$5^{2} + 6^{2} = 61$
$7^{2} + 8^{2} = 113$
$9^{2} + 10^{2} = 181$
$11^{2} + 12^{2} = 265$
$13^{2} + 14^{2} = 365$

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