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

NUMBER SYSTEM
INDIAN NAMEINTERNATIONAL NAMENUMBERSNUMBER
OF
ZEROES
ONESONES10
TENSTENS101
HUNDREDHUNDRED1002
THOUSANDTHOUSAND10003
TEN THOUSANDTEN THOUSAND100004
ONE LAKHSHUNDRED THOUSAND1000005
TEN LAKHSONE MILLION10000006
ONE CRORETEN MILLION100000007
HUNDRED CRORESONE BILLION10000000009

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?

369
536
32?
182060
ANSWER

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

Answer = 16

QUESTION 02

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

9412
415
3?4
151228
ANSWER

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

Answer = 4

QUESTION 03

Complete the series

4159
5?18
6712
31315
ANSWER

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

Answer = 5

QUESTION 04

Given below are two series with specific pattern

241696768
3abcd

What will come in place of (c) ?

ANSWER

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

Answer = 144

QUESTION 05

Given below are two series with specific pattern

4316925681
6abcde

What will come in place of (C) ?

ANSWER

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

Answer = 25

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, ____?

ANSWER
number series

Answer = UX

QUESTION 07

What comes next ?

c+y, d+x+1, e+w+2, f+v+3,….

ANSWER
number series questions

Answer = g+u+4

QUESTION 08

Complete the series

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

ANSWER
how do find number series

Answer = h24z

QUESTION 09

Find out the missing term in the series :

126,217,344,____,730

ANSWER
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 \\

Answer = 513

QUANTITATIVE APTITUDE STUDY MATERIAL

Ration and proportional

Simplification

Percentage

Number series

L.C.M and H.C.F

Simple Interest

Compound Interest

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