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NTPC is an abbreviation for NonTechnical Popular Categories. The RRB NTPC test is administered by the Railway Recruitment Board (RRB) to select applicants for various nontechnical roles in the Indian Railways. Applicants who have completed their degree or passed class XII are eligible for RRB NTPC posts. The RRB NTPC 2022 examination is divided into four stages: CBT 1, CBT 2, Typing Skill Test/Computer Based Aptitude Test (where applicable), and Document Verification. The highlights of the RRB NTPC 2022 test are as follows:
Topic  Particulars 
NTPC full name  NonTechnical Popular Categories 
the exam is organised by  Railway Recruitment Board (RRB) 
Level of exam  National 
Exam application Mode  Online 
Application Fees  · General Category– INR 500
· SC/ST/Exserviceman/Women/Minorities/Physically handicapped candidates – INR 250 
Mode of Exam  Offline (CBT) 
Duration of exam  2 Hours 
Qualification for posts 

Selection Process 

Medium or Languages of Exam  15 Languages 
Official Website  https://indianrailways.gov.in/ 
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RRB NTPC CBT 1 Exam Pattern 2022
The following is a detailed overview of the RRB NTPC CBT 1 exams:
Sections  Maximum Marks 
General Awareness  40 
Mathematics  30 
General Intelligence and Reasoning  30 
Total  100 
No of Questions – 100  Time – 90 Minutes 
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RRB NTPC CBT 2 Exam Pattern 2022
A computerbased examination will be used to administer the recruiting exam at testing centres around the country. The test will consist of 120 multiplechoice questions, with each question worth one point. The duration of the NTPC Computer Based Test – 2 is 90 minutes i.e. 30 minutes and one hour. The exam will have 35 MCQs from Mathematics and General Intelligence, and Reasoning each as well as 50 questions from General Awareness. The table below contains more information about the RRB NTPC CBT2 Exam Pattern 2022.
No.  Subject  Questions asked  Marks allotted 
1.  General Intelligence & Reasoning  35  35 
2.  Mathematics  35  35 
3.  General Awareness  50  50 
Total  150  150 
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RRB NTPC Exam Syllabus 2022 for Mathematics
In this section, we will go through the RRB NTPC 2022 syllabus for mathematics.
 Ratio and Proportions
 Trigonometry
 Mensuration
 LCM
 Elementary Algebra
 Fractions
 Geometry
 HCF
 Profit and Loss
 Time and Distance
 Time and Work
 Number system
 Simple and Compound Interest
 Elementary Statistics
 Decimals
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Number System Notes for RRB NTPC Exam 2022
A number is a mathematical entity that is used to count, measure, and label. A number system, also known as a system of numeration, is a method of writing numbers or symbols consistently. In simplified terms, the number system is concerned with the writing of numbers. The number system may be categorised into the following types based on the numbers utilised in the system:
 Binary Number System
 Octal Number System
 Decimal Number System
 Hexadecimal Number System
These number systems are often utilised in computers nowadays. However, in “Mathematics,” we employ the Decimal Number System. “Deci” indicates ten, hence the “Decimal number system” employs 10 digits (0, 1, 2, 3, 4, 5, 6, 7, 8, 9). Using these digits, we can create any number. This system’s base is also ten. We have two words for numbers when we represent them.
 Face Value: The face value of a digit in a number is its true value.
Ex. 1: The face value of 7 in 38786 is merely 7.
 Place Value: The value of a digit concerning its position in the number is referred to as its place value.
Ex2: The place value of 7 in 38786 is 700, which equals 7×100.
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Types of Numbers
 These are numbers that are represented as the square root of a negative number. These numbers are often written as “ai,” where “a” is a number and ” i” is a symbol denoting the imaginary component, with the value of I equal to the root of 1. Imaginary numbers are often represented on a vertical number line plane. 2i and 7i are two examples.
 Real Numbers are numbers that can be expressed on a number line. To put it simply, any numbers other than imaginary numbers are real numbers.
 Irrational numbers are real numbers that cannot be represented because “p” or “q” are nonterminating terms. Numbers with a perfect square root are not irrational.
 Real numbers that can be represented as powers of p/q, where q is a nonzero number, are known as rational numbers. E.g. 1, 4, 2.3, etc.
 Integers are integers with a denominator of ‘1’, or numbers that are not in the form of a fraction or a decimal. Integers are further divided into the following categories: Positive Integers, Negative Integers and Zero.
 A fraction is a portion of a whole. Fractions are typically expressed as p/q, where ‘p’ is the numerator and ‘q’ is the denominator. Both “p” and “q” are nonzero terms in this case. Fraction is classified as a proper fraction, improper fraction and mixed fraction.
 A decimal is a fraction with a denominator that is a power of ten. 1.5, 2.75, and 3.873, for example.
 Natural numbers can be defined as the number we used to count or as a collection of all positive integers. For example: 1, 2, 3, …
 When zero is included in natural numbers, the set of numbers is referred to as whole numbers. this series is like 0, 1, 2, 3, 4…
 An even number is a set of natural numbers that are exactly divisible by two. 2, 4, 6, 8, etc.
 A set of natural numbers other than even numbers are referred to as odd numbers. 1, 3, 5, etc.
 Prime numbers are natural numbers that contain precisely two elements, which are ‘1’ and themselves. 2, 3, 5, 7, 11, etc.
 A composite number is a natural number that has more than two elements. 4,6,8,9,10,12…
 Because 1 has only one factor, it is neither prime nor composite and is thus categorised as a unit.
 Twin prime numbers are two prime numbers that vary by two. (3,5), (5,7), etc (11,13)
 Coprime numbers are those numbers that have no common factor other than ‘1’. In other words, a set of numbers with H.C.F 1 is a set of coprime numbers. As an example, (6,35), (12,25)
 The only even prime number is 2.
 There are 15 prime numbers ranging from 1 to 50, and their sum is 328.
 There are 25 prime numbers ranging from 1 to 100, and their sum is 1060.
 The only consecutive prime numbers are 2 and 3.
 The only triplet of twin prime numbers is 3, 5, and 7.
 A number is seen to be perfect if the total of its factors, except that number, equals that number. 6 and 28 as examples The factors of 6 are 1, 2, 3, and 6 and 1 + 2 + 3 = 6. The 28’s factors are 1, 2, 4, 7, 14, 28 and 1 + 2 + 4 + 7 + 14 = 28
 The sum of the reciprocals of a perfect number’s components is always 2.
 Factorial is a product of all natural numbers, starting with the first and ending with the number. In basic terms, the factorial of a number is the product of all natural numbers that are equal to or less than the number. N! = 1×2×3… (N – 1) × N.
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Dividend, Divisor, Quotient, and Remainder Relationship
 Dividend = Divisor × Quotient + Remainder
 The value of the remainder is always positive.
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Convert a Recurring Decimal Into a Fraction
When we convert a recurring decimal into a fraction, first look at how many digits are repeated. If 1 number is recurring then put the denominator as 101=9. If two numbers are recurring then put the denominator as 1001=99. Then you can simplify the resulting fraction into their smallest forms.
e.g. 0.7777…= 7/ (101) = 7/9
To put it simply, we put as many 9s in the denominator as digits are repeating.
If the decimal includes a mixed recurring decimal, such as 0.5777…, then in the denominator, we use zero for nonrepeating numbers and 9 for repeating numbers, and we subtract the nonrepeating number from the full amount in the numerator.
e.g. 0.577777…= (575)/ 90= 52/90
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Divisibility Test
The criteria for checking divisibility for each number are given in the table below
Number  Condition 
2  If a number’s unit digit is even or the final digit is 0 
3  if the sum of a number’s digits is a multiple of three 
4  When the final two digits of a number are divisible by four or when the last two digits are zero 
5  If a number’s final digit is 5 or 0 
6  A number that passes both the 2 and 3 divisibility tests. 
8  When the final three digits of a number are divisible by 8 or when the last three digits are 0 
9  If the sum of a number’s digits is a multiple of 9 
10  If a number’s final digit is 0 
12  A number that passes both the 3 and 4 divisibility tests 
7 and 11 can be seen as special cases.
 In the case of 7, let’s have a look at an example. Consider the number 3402
1st step: 340 –2 × 2 = 336
2nd step: 33 – 2 × 6 = 21
3rd step: Determine whether or not 21 is divisible by 7.
Because it is divisible by seven, the number is also divisible by seven.
 In the case of 11, Let’s have a look at an example. For instance, 273691
(2 + 3 + 9) – (7 + 6 + 1) = 0
As a result, the number is divisible by eleven.
The integer is divisible by 11 if the difference between the sum of digits in the even position and the sum of digits in the odd position is equal to “0 or multiple of 11.”
 When a sixdigit number is generated by repeating a digit (111111, 222222, 333333, etc), it is divisible by three, seven, eleven, thirteen, and thirtyseven.
 When a sixdigit number is generated by repeating a twodigit number (272727, 353535, 565656), the result is divisible by three, seven, thirteen, and thirtyseven.
 When a sixdigit number is generated by repeating a threedigit number (273273, 135135, 456456) then it is divisible by seven, eleven, and thirteen.
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The post looked at how to effectively handle number system questions. Following the advice on this website, you may solve the number system questions for RRB NTPC Exam 2022. Constant practice will also help you enhance your speed. Download the Entri app to practise additional modal questions on the number system topic for the RRB NTPC Exam 2022. Detailed notes and explanations for abovementioned theories are available in the Entri app.