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]]>How to Find Missing Numbers in Addition and Subtraction
Introduction:
A series is an ordered collection of figures or numbers or words or alphabets. A sequence of numbers which follow a particular pattern is called number series. In number series questions, some specific pre-decided rules are hidden and the candidate needs to find at that hidden rule to arrive at correctanswer.
For example, consider 1, 4, 7, 10, 13, ….. Here the difference between the consecutive numbers is three. It is important to note that in number series each number except the first number is related to the prior number with some specific rule.
Types of Number Series
There are many types of number series. A few of them are explained below.
Difference Series :
Difference series can be further classified as
The number series with a constant difference, where there is always a constant difference between the two consecutive numbers.
How do you find the missing number in addition?
How do you find the missing number in subtraction?
What are the rules for adding and subtracting signed numbers?
How do you quickly add and subtract numbers?
EXAMPLE - 1
Find out the term from the following number series and replace it with the correct term.
The given number series follows the below pattern.
EXAMPLE - 2
Find out the term from the following number series and replace it with the correct term.
The given number series follows the below pattern.
Tricks to solve Number series Question
Number series questions are common in any competitive exam. Candidates can score good marks with just the basic knowledge of math. These questions are relatively easy provided the candidate is able to find out the hidden rule. Here sveducations.com provides you with basic tips and tricks to solve number series questions. After you read through this article, click below to revise and practice with our tests.
How do you find the missing number in addition?
How do you find the missing number in subtraction?
What are the rules for adding and subtracting signed numbers?
How do you quickly add and subtract numbers?
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]]>Find The Missing Number In The Series
Introduction:
A series is an ordered collection of figures or numbers or words or alphabets. A sequence of numbers which follow a particular pattern is called number series. In number series questions, some specific pre-decided rules are hidden and the candidate needs to find at that hidden rule to arrive at correct answer.
For example, consider 1, 4, 7, 10, 13, ….. Here the difference between the consecutive numbers is three. It is important to note that in number series each number except the first number is related to the prior number with some specific rule.
Types of Number Series
There are many types of number series. A few of them are explained below.
Product Serie :
In this type of series, each term is multiplied by a fixed number or specific number pattern to get the next successive number. This can be of following types,
Multiplication of the previous number by a fixed number.
Find The Missing Number In The Series
what are the missing numbers in the sequence?
What is the next number in the series?
How do you find the missing number in a table?
EXAMPLE - 1
Find out the odd term from the following number series and replace it with the correct term.
The given number series follows the below pattern.
EXAMPLE - 2
Find out the odd term from the following number series and replace it with the correct term.
The given number series follows the below pattern.
Tricks to solve Number series Question
Number series questions are common in any competitive exam. Candidates can score good marks with just the basic knowledge of math. These questions are relatively easy provided the candidate is able to find out the hidden rule. Here sveducations.com provides you with basic tips and tricks to solve number series questions. After you read through this article, click below to revise and practice with our tests.
what are the missing numbers in the sequence?
What is the next number in the series?
How do you find the missing number in a table?
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]]>Number Series reasoning tricks
Introduction:
A series is an ordered collection of figures or numbers or words or alphabets. A sequence of numbers which follow a particular pattern is called number series. In number series questions, some specific pre-decided rules are hidden and the candidate needs to find at that hidden rule to arrive at correct answer.
For example, consider 1, 4, 7, 10, 13, ….. Here the difference between the consecutive numbers is three. It is important to note that in number series each number except the first number is related to the prior number with some specific rule.
Types of Number Series
There are many types of number series. A few of them are explained below.
In this type the series progresses with addition or subtraction of some specific numbers. Here the DIFFERENCE between any successive terms is not very large, increases in a specific manner and is constant throughout the series.
Let us see the types of number series questions and tricks to solve them
For example: 1
Find out the odd term from the following number series and replace it with the correct term.
The given number series follows the below pattern.
For example: 2
Find out the odd term from the following number series and replace it with the correct term.
The given number series follows the below pattern.
Tricks to solve Number series Question
Number series questions are common in any competitive exam. Candidates can score good marks with just the basic knowledge of math. These questions are relatively easy provided the candidate is able to find out the hidden rule. Here sveducations.com provides you with basic tips and tricks to solve number series questions. After you read through this article, click below to revise and practice with our tests.
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]]>They are called “Real Numbers” because they are not Imaginary Numbers.
2Q. without performing division, state whether the following rational numbers will have a terminating decimal form of a non–terminating, repeating decimal form.
Note : We check whether the denominator is of the form 2^{n} . 5^{m} or not ? If yes, the rational number can be expressed as a terminating decimal.
If not, it can’t be expressed as a terminating decimal.
3125 = 5 X 5 X 5 X 5 X 5
3125 = 5^{5}
1600 = 2 X 2 X 2 X 2 X 2 X 2 X 5 X 5
1600 = 2^{6} X 5^{2}
343 = 7 X 7 X 7
343 = 7^{3} ( Not of the form 2^{n} . 5^{m} )
The denominator is of the form 2^{n} . 5^{m}
Denominator is not of the form 2^{m} X 5^{n}
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Definition of Real Number :
Definition of Imaginary Numbers :
In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.. The real numbers include all the rational numbers, such as the integer -5 and the fraction 4/3, and all the irrational numbers, such as the square root of 2, an irrational algebraic.
JOHN NAPIER ( 1550 – 1617 ) :
JOHN NAPIER is best known as the discoverer of logarithms. He also invented the so – called “ Napier’s bones “ and made common the use of the decimal point in arithmetic and mathematics.
Real Number SSC Public Examination Maths
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]]>SSC Real Numbers Exercise - 1.3
They are called “Real Numbers” because they are not Imaginary Numbers.
1Q. write the following rational numbers in their decimal form and also. State which are terminating and which are non – terminating , repeating decimals.
= 0.18 is a non terminating, repeating decimal.
Denominator is not of the form 2^{m} X 5^{n}. Hence a non – terminating repeating decimal.
Denominator 400 = 2^{4 }X 5^{2} = 2^{n} X 5^{m} Hence a terminating decimal
Denominator is 5. Hence a terminating decimal.
Denominator 8 = 2^{3} , consists of only 2’s. Hence a terminating decimal.
Denominator 125 = 5^{3}. Hence a terminating decimal.
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Definition of Real Number :
Definition of Imaginary Numbers :
In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.. The real numbers include all the rational numbers, such as the integer -5 and the fraction 4/3, and all the irrational numbers, such as the square root of 2, an irrational algebraic.
JOHN NAPIER ( 1550 – 1617 ) :
JOHN NAPIER is best known as the discoverer of logarithms. He also invented the so – called “ Napier’s bones “ and made common the use of the decimal point in arithmetic and mathematics.
Real Number SSC Public Examination Maths
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]]>The Number of Prime factors formula
A factor that is a prime number.
In other words: any of the prime numbers that can be multiplied to give the original
30^{7} X 22^{5} X 34^{11 }
= ( 2 X 3 X 5 )^{7} X ( 2 X 11 )^{5} X ( 2 X 17 )^{11}
= 2^{7} X 2^{5} X 2^{11} X 3^{7} X 5^{7} X 11^{5} X 17^{11}
Apply this formula
[ a^{m} x a^{n} = a^{m + n} ]
= 2^{7 + 5 + 11} X 3^{7} X 5^{7} X 11^{5} X 17^{11}
= 2^{23} X 3^{7} X 5^{7} X 11^{5} X 17^{11}
Sum of only Powers
^{ } Total Factors : 23 + 7 + 7 + 5 + 11
= 53
Natural Numbers :
The numbers which are used in counting are known as Natural Numbers or Positive Integers.
There set is denoted by N. Thus, N = { 1,2,3,4,5,6,7,8,……….. }
Whole Numbers :
The set of whole numbers is denoted by ‘W’ Where ‘W’ = { 0,1,2,3,4,5,6,7,8,……….. }
Set of Integers :
All counting numbers. Their negative and ‘O’. When combined from the set of integers.
This is denoted by I . Thus, I = { ……-3,-2,-1,0, 1,2,3,4,5,6,7,8,……….. }
Even Numbers :
Those numbers which are exactly divisible by 2 are known as even numbers. For example 2, 4, 6, 8, ………
Odd Numbers :
The numbers which are not exactly divisible by 2 are Called Odd numbers. For example 1, 3, 5, 7, ……… are Odd Numbers
A factor that is a prime number. In other words: any of the prime numbers that can be multiplied to give the original total number of prime factors formula
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]]>What is Number System in Maths? A number framework is characterized as an arrangement of composing for communicating numbers. It is the numerical documentation for speaking to quantities of a given set by utilizing digits or different images in a predictable way.
Whole Numbers: The set of whole numbers is denote by “W”.
where “W” = { 0, 1, 2, 3, 4, 5, 6, …….}
Natural Numbers: The numbers which are use in counting are known as Natural Numbers or Positive Integers. Their set is denote by N.
Thus, N = { 1, 2, 3, 4, 5, 6, …….}
Set of Integers: All counting numbers. Their negatives and “O”, when combined from the set of integer. This is denote by I.
Thus I = ( ………… -3, -2, -1, 0, 1, 2, 3, ………….)
Even Numbers: Those numbers which are exactly divisible by 2 are known as even numbers.
For example 2, 4, 6, 8, 10, …………
Odd Numbers: The numbers which are not exactly divisible by 2 known as Odd Numbers.
Ex: 1, 3, 5, 7, 9, ……….
Prime Numbers: A number is said to be a Prime Number if its factors are “1” and the number itself only.
Ex: 2, 3, 5, 7, ……..
There are 25 prime numbers below 100.
Composite Numbers : The numbers which are not Prime are call “Composite Numbers”.
For example 4, 6, 8, 9, 12, ……….
Rational Numbers: A number of the form a/b where a and b are integers prime to each other b ≠ 0 is called a Rational Numbers.
Irrational Numbers: The numbers whose exact value cannot be determine are call Irrational Numbers.
For example √3, √5, √7, ……etc.
Real Numbers: Both Rational and Irrational Numbers are collectively known as Real Numbers.
Important results Number System in Maths
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]]>The arithmetic Ability Syllabus – also known as Quantitative Aptitude or Numerical Ability, Arithmetic Ability questions in any competitive exam is to check the important mathematical concepts. arithmetic questions and answers for competitive exams arithmetic ability questions and answers questions on quantitative aptitude quantitative aptitude for competitive examinations.
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]]>Besides, we refreshed the TSPSC Group 4 Syllabus Topic astute in the accompanying segments. Additionally, check the TSPSC Group 4 Exam Pattern and Exam date subtleties underneath.
S.No. | Paper Subject | No. of Questions | Duration | Maximum Marks |
1. | GENERAL KNOWLEDGE | 150 | 150 Minutes | 150 |
2. | SECRETARIAL ABILITIES | 150 | 150 Minutes | 150 |
TOTAL MARKS | 300 |
SYLLABUS
S.No. | Subject |
1. | Current Affairs. |
2. | International Relations and Events. |
3. | General Science in everyday life. |
4. | Environmental Issues and Disaster Management |
5. | Geography and Economy of India and Telangana. |
6. | Indian Constitution : Salient Features |
7. | Indian Political System and Government |
8. | Modern Indian History with a focus on Indian National Movement. |
9. | History of Telangana and Telangana Movement. |
10. | Society, Culture, Heritage, Arts and Literature of Telangana. |
11. | Policies of Telangana State. |
S.No. | Subject |
1. | Mental Ability. ( Verbal and non – Verbal ) |
2. | Logical Reasoning. |
3. | Comprehension. |
4. | Re – arrangement of sentences with a view to improving analysis of a passage. |
5. | Numerical and Arithmetical abilities. |
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]]>
SSC Real Numbers :
They are called “Real Numbers” because they are not Imaginary Numbers.
i) 140 ii) 156 iii) 3825 iv) 5005 v) 7429
Sol : 140
140 = 2 X 2 X 5 X 7 = 2^{2} X 5 X 7
Sol : ii) 156
156 = 2 X 2 X 3 X 13 = 2^{2} X 3 X 13
Sol : iii) 3825
3825 = 3 X 3 X 5 X 5 X 17
= 3^{2} X 5^{2} X 17
Sol : iv) 5005
5005 = 5 X 7 X 11 X 13
Sol : v) 7429
7429 = 17 X 19 X 23
Sol. i) 12, 15 and 21 ii) 17, 23 and 29
iii) 8, 9 and 25 iv) 72 and 108
Sol : i) 12, 15 and 21
12 = 2 X 2 X 3 = 2^{2} X 3
15 = 3 X 5
21 = 3 X 7
L.C.M = 2^{2} X 3 X 5 X 7 = 420
H.C.F = 3
Sol : ii) 17, 23 and 29
The given numbers 17, 23 and 29 are all primes.
L.C.M = their product
= 17 X 23 X 29 = 11339
H.C.F = 1
iii) 8, 9 and 25
8 = 2 X 2 X 2 = 2^{3}
9 = 3 X 3 = 3^{2}
25 = 5 X 5 = 5^{2}
L.C.M = 2^{3} X 3^{2} X 5^{2} = 1800
( OR )
8, 9 and 25 are relatively prime, there fore L.C.M is equal to their product. (i.e.) L.C.M = 8 X 9 X 25 = 1800
H.C.F = 1
iv) 72 and 108
72 = 2^{3} X 3^{2}
108 = 2^{2} X 3^{3}
L.C.M = 2^{3} X 3^{3} = 8 X 27 = 216
H.C.F = 2^{2} X 3^{2} = 4 X 9 = 316
v) 306 and 657
306 = 2 X 3^{2} X 17
657 = 3^{2} X 73
L.C.M = 2 X 3^{2} X 17 X 73 = 22338
H.C.F = 3^{2} = 9.
Sol : Given number = 6^{n} = ( 2 X 3 )^{n}
The prime factors here are 2 and 3 only.
To be end with 0; 6^{n} should have a prime factor 5 and also 2. So,
6^{n} can’t end with zero.
Sol : Given numbers are
7 X 11 X 13 + 13 and
7 X 6 X 5 X 4 X 3 X 2 X 1 + 5
13 ( 7 X 11 + 1 ) and 5 ( 7 X 6 X 4 X 3 X 2 X 1 + 1 )
13 K and 5 L, where K = 78 and
L = 7 X 6 X 4 X 3 X 2 X 1 + 1 = 1009
As the given numbers can be written as product of two numbers, they are composite.
Sol : ( 17 X 11 X 2 ) + ( 17 X 11 X 5 )
= ( 17 X 11 ) ( 2 + 5 )
= ( 17 X 11 ) ( 7 ) = 187 X 7
Now the given expression is written as a product of two integers and hence it is a composite number.
For Real Number chapter of SSC Examination
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