# Number Series – basics, definition, formula, questions

##### UNITS OF TIME

1 minutes = 60 seconds

1hour = 60 minutes

1 hour = 3600 seconds

1 days = 24 hours

1 days = 1440 minutes

1 days = 86,000 seconds

1 second = \frac{1}{60} minutes

1 minutes = \frac{1}{60} hours

##### MEASUREMENT OF LENGTH

10 Millimetre = 1 Centimetre

100 Centimetre = 1 Metre

1000 Metre = 1 Kilometre

12 inches = 1 feet

660 feet = 1 furlong

8 furlong = 1 mile

##### MEASUREMENT OF WEIGHT

1000 milligram = 1 gram

1000 grams = 1 kilogram

1000 kilograms = 1 tonne

28 grams= 1 ounce

16 ounce = 1 pound

2000 pound = 1 tonne

##### MEASUREMENT OF VOLUME

1000 milli litre = 1 litre

1000 litre = 1kilo litre

10 metre = 1 decametre

100 metre = 1 hectametre

1000 metre = 1 kilometre

{1}{10} metre = 1 decimetre

{1}{100} metre = 1 centimetre

{1}{1000} metre = 1 millimetre

### Various Types of Numbers

##### Natural Numbers

Counting numbers are called natural numbers . Thus , 1 , 2 , 3 , 4 , etc. are all natural numbers.

##### Whole Numbers

All counting numbers , together with 0 , form the set of whole numbers . Thus , 0 , 1 , 2 , 3 , 4 , etc are all whole numbers .

##### Integers

All counting numbers , zero and negatives of counting numbers , form the set of integers . Thus , ….- 3 , -2 , -1 , 0 , 1 , 2 , 3 , …. are all integers .

##### Even Numbers

A counting number divisible by 2 is called an even number . Thus , 0 , 2 , 4 , 6 , etc. are all even numbers .

##### Odd Numbers

A counting number not divisible by 2 is called an odd number . Thus , 1 , 3 , 5 , 7 , etc. are all odd numbers .

##### Prime Numbers

A counting number is called a prime number if it has exactly two factors , namely itself and 1 .

All prime numbers less than 100 are : 2 , 3 , 5 , 7 , 11 , 13 , 17 , 19 , 23 , 29 , 31 , 37 , 41 , 43 , 47 , 53 , 59 , 61 , 67 , 71 , 73 , 79 , 83 , 89 , 97

##### Rational Numbers

A number of the {p}{q} where p and q are both integers and q not equal zero .

Example

\frac{2}{1},\frac{4}{8},etc. \\
##### Irrational Number

A number having a non-terminating and non-recurring decimal expansion is called an irrational number.

Example

\sqrt{2},\sqrt{3},\sqrt{7},etc \\
##### FACTORIAL OF A NUMBER

Natural numbers is called factorial

##### Formula

n!=n(n-1)(n-2)(n-3)….3.2.1

##### Example

Find the factorial value of 6

n=6

6!=(6-1)(6-2)(6-3)…….(6-5)

6!=5\times4\times3\times2\times1

6!=120

##### QUESTION 01

Which number should come in the place of the question mark?

Step – 1

3\times5 + 3 =18

15 + 3 = 18

18 = 18

Step – 2

6\times3 + 2 =20

18 + 2 =20

20 = 20

Step – 3

9\times6 + ? =60

54 + ? = 60

54 + 16 = 60

##### QUESTION 02

Which number should come in the place of the question mark?

Step – 1

9 – 4 \times 3 =15

5 \times 3 = 15

15 = 15

Step – 2

12 – 5 \times 4 = 28

7 \times 4 = 28

28 = 28

Step – 3

4 – 1 \times ?=12

3 \times ?=12

3 \times 4 = 12

12 = 12

##### QUESTION 03

Complete the series

Step – 1

5 + 4 – 6 = 3

9 – 6 = 3

3 = 3

Step – 2

9 + 18 – 12 = 15

27 – 12 = 15

15 = 15

Step – 3

15 + ? – 7 =13

15 + 5 – 7 = 13

20 – 7 = 13

13 = 13

##### QUESTION 04

Given below are two series with specific pattern

What will come in place of (c) ?

First Row

2 \times 2 = 4

4 \times 4 = 16

16 \times 6 = 96

96 \times 8 = 768

Second Row

3 \times 2 = 6

6 \times 4 = 24

24 \times 6 = 144

144 \times 8 = 1152

a=6, b=24, c=144, d=1152

##### QUESTION 05

Given below are two series with specific pattern

What will come in place of (C) ?

First Row

4^1 = 4

3^1 = 3

4^2 = 16

3^2 = 9

4^4 = 256

3^4 = 81

Second Row

6^1 = 6

5^1 = 5

6^2 = 36

5^2 = 25

6^4 = 1296

5^4 = 625

a=5, b=36, c=25, d=1296, e=625

##### Instruction

Alphabet letters

a b c d e f g h i j k l m n o p q r s t u v w x y z

a + 1 meaning adding one alphabet letter = b

a +5 next five alphabet letters = f

f -4 back four alphabet letters= b

r -10 back ten alphabet letters= h

##### QUESTION 06

Find the next term in the series:

DF, GJ, KM, NQ, RT, ____?

##### QUESTION 07

What comes next ?

c+y, d+x+1, e+w+2, f+v+3,….

##### QUESTION 08

Complete the series

k,15w, j, 18x, i, 21y, ?

##### QUESTION 09

Find out the missing term in the series :

126,217,344,____,730

5^3 + 1 = 125 + 1 = 126 \\ 6^3 + 1 = 216 + 1 = 217 \\ 7^3 + 1 = 343 +1 =344 \\ 8^3 + 1 = 512+ 1 = 513 \\ 9^3 + 1 = 729 + 1 = 730 \\

## QUANTITATIVE APTITUDE STUDY MATERIAL

Ration and proportional

Simplification

Percentage

Number series

L.C.M and H.C.F

Simple Interest

Compound Interest

Related search:

number series

number series aptitude

number series formula

number series question and answer pdf

number series video class

number series for tnpsc

number series for ssc

number series for rrb

number series for bank exam

number series for upsc

number series for mba

number series for rbi

number series for cbi

number series formula for abtitude

number series for competitive exam

number series for bank exam

number series for rrb group d

number series formula and tricks

SHARE