{"id":25522296,"date":"2022-04-26T10:00:53","date_gmt":"2022-04-26T04:30:53","guid":{"rendered":"https:\/\/entri.app\/blog\/?p=25522296"},"modified":"2024-10-25T15:33:57","modified_gmt":"2024-10-25T10:03:57","slug":"number-system-notes-for-rrb-ntpc-exam","status":"publish","type":"post","link":"https:\/\/entri.app\/blog\/number-system-notes-for-rrb-ntpc-exam\/","title":{"rendered":"Number System Notes for RRB NTPC Exam 2024"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_79_2 counter-hierarchy ez-toc-counter ez-toc-custom ez-toc-container-direction\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<label for=\"ez-toc-cssicon-toggle-item-69e5c19d3b35b\" class=\"ez-toc-cssicon-toggle-label\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/label><input type=\"checkbox\"  id=\"ez-toc-cssicon-toggle-item-69e5c19d3b35b\"  aria-label=\"Toggle\" \/><nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/entri.app\/blog\/number-system-notes-for-rrb-ntpc-exam\/#RRB_NTPC_CBT_1_Exam_Pattern_2024\" >RRB NTPC CBT 1 Exam Pattern 2024<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/entri.app\/blog\/number-system-notes-for-rrb-ntpc-exam\/#RRB_NTPC_CBT_2_Exam_Pattern_2024\" >RRB NTPC CBT 2 Exam Pattern 2024<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/entri.app\/blog\/number-system-notes-for-rrb-ntpc-exam\/#RRB_NTPC_Exam_Syllabus_2024_for_Mathematics\" >RRB NTPC Exam Syllabus 2024 for Mathematics<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/entri.app\/blog\/number-system-notes-for-rrb-ntpc-exam\/#Number_System_Notes_for_RRB_NTPC_Exam_2024\" >Number System Notes for RRB NTPC Exam 2024<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/entri.app\/blog\/number-system-notes-for-rrb-ntpc-exam\/#RRB_NTPC_Previous_Question_Papers_2024\" >RRB NTPC Previous Question Papers 2024<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/entri.app\/blog\/number-system-notes-for-rrb-ntpc-exam\/#RRB_NTPC_Syllabus_2024_PDF\" >RRB NTPC Syllabus 2024 PDF<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/entri.app\/blog\/number-system-notes-for-rrb-ntpc-exam\/#Secure_a_job_in_railway_join_now\" >Secure a job in railway! join now!!<\/a><\/li><\/ul><\/nav><\/div>\nNTPC is an abbreviation for Non-Technical Popular Categories. The RRB NTPC test is administered by the Railway Recruitment Board (RRB) to select applicants for various non-technical roles in the Indian Railways. Applicants who have completed their degree or passed class XII are eligible for RRB NTPC posts. The RRB NTPC 2024 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 2024 test are as follows:\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td colspan=\"2\"><strong>RRB NTPC 2024- Exam Summary<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Name of the Organization<\/td>\r\n<td>Railway Recruitment Board (RRB)<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Job Role<\/td>\r\n<td><strong>Graduate Posts-<\/strong>\u00a0Chief Commercial cum Ticket Supervisor, Station Master, Goods Train Manager, Junior Accountant Assistant cum Typist, Senior Clerk cum Typist\r\n<strong>Under Graduate Posts-<\/strong>\u00a0Commercial cum Ticket Clerk, Accounts Clerk cum Typist, Junior Clerk Cum Typist, Trains Clerk<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Advt. No.<\/td>\r\n<td>RRB\/ADI\/Advt.\/CEN 05 &amp; CEN 06\/2024<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Job Location<\/td>\r\n<td>Across India<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Total Vacancy<\/td>\r\n<td>Graduate Level- 8113\r\nUndergraduate Level- 3445<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Mode of Application<\/td>\r\n<td>Online<\/td>\r\n<\/tr>\r\n<tr>\r\n<td><strong>Apply Online Dates<\/strong><\/td>\r\n<td><strong>Graduate- 14th September to 20th October 2024<\/strong>\r\n<strong>Undergraduate- 21st September to 27th October 2024<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Qualification for RRB NTPC<\/td>\r\n<td>12th (+2 Stage) \/ Any Graduates<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Age Limit<\/td>\r\n<td>18 to 33 Years \/ 18 to 36 Years<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Selection for RRB NTPC<\/td>\r\n<td>CBT-1, CBT-2, Skill Test, Document Verification, Medical Test<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Official Website<\/td>\r\n<td>http:\/\/www.rrbcdg.gov.in\/<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<p style=\"text-align: center;\"><strong><a href=\"https:\/\/entri.app\/exam\/rrb-exams-coaching\/?utm_source=Articles&amp;utm_medium=blog_referral&amp;utm_campaign=follow-these-steps-to-crack-rrb-ntpc-exam\" target=\"_blank\" rel=\"noopener\">\u00a0Prepare for RRB Exam with Expert Mentors! Get Free Demo Classes Here!\u00a0<\/a><\/strong><\/p>\r\n\r\n<h2><span class=\"ez-toc-section\" id=\"RRB_NTPC_CBT_1_Exam_Pattern_2024\"><\/span><strong>RRB NTPC CBT 1 Exam Pattern 2024<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\r\nThe following is a detailed overview of the RRB NTPC CBT -1 exams:\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>Sections <\/strong><\/td>\r\n<td><strong>Maximum Marks<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>General Awareness<\/td>\r\n<td>40<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Mathematics<\/td>\r\n<td>30<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>General Intelligence and Reasoning<\/td>\r\n<td>30<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>Total<\/td>\r\n<td>100<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>No of Questions \u2013 100<\/td>\r\n<td>Time \u2013 90 Minutes<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<p style=\"text-align: center;\"><strong><a href=\"https:\/\/entri.app\/exam\/rrb-exams-coaching\/?utm_source=Articles&amp;utm_medium=blog_referral&amp;utm_campaign=follow-these-steps-to-crack-rrb-ntpc-exam\" target=\"_blank\" rel=\"noopener\">\u00a0Prepare for RRB Exam with Expert Mentors! Get Free Demo Classes Here!\u00a0<\/a><\/strong><\/p>\r\n\r\n<h2><span class=\"ez-toc-section\" id=\"RRB_NTPC_CBT_2_Exam_Pattern_2024\"><\/span><strong>RRB NTPC CBT 2 Exam Pattern 2024<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\r\nA computer-based examination will be used to administer the recruiting exam at testing centres around the country. The test will consist of 120 multiple-choice questions, with each question worth one point. The duration of the NTPC Computer Based Test &#8211; 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 CBT-2 Exam Pattern 2024.\r\n<table width=\"566\">\r\n<tbody>\r\n<tr>\r\n<td><strong>No. <\/strong><\/td>\r\n<td><strong>Subject\u00a0 <\/strong><\/td>\r\n<td><strong>Questions asked\u00a0\u00a0 <\/strong><\/td>\r\n<td><strong>Marks allotted\u00a0 \u00a0<\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td>1.<\/td>\r\n<td>General Intelligence &amp; Reasoning<\/td>\r\n<td>35<\/td>\r\n<td>35<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>2.<\/td>\r\n<td>Mathematics<\/td>\r\n<td>35<\/td>\r\n<td>35<\/td>\r\n<\/tr>\r\n<tr>\r\n<td>3.<\/td>\r\n<td>General Awareness<\/td>\r\n<td>50<\/td>\r\n<td>50<\/td>\r\n<\/tr>\r\n<tr>\r\n<td colspan=\"2\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Total<\/td>\r\n<td>150<\/td>\r\n<td>150<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<h2><span class=\"ez-toc-section\" id=\"RRB_NTPC_Exam_Syllabus_2024_for_Mathematics\"><\/span><strong>RRB NTPC Exam Syllabus 2024 for Mathematics<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\r\nIn this section, we will go through the RRB NTPC 2024 syllabus for mathematics.\r\n<ol>\r\n \t<li>Ratio and Proportions<\/li>\r\n \t<li>Trigonometry<\/li>\r\n \t<li>Mensuration<\/li>\r\n \t<li>LCM<\/li>\r\n \t<li>Elementary Algebra<\/li>\r\n \t<li>Fractions<\/li>\r\n \t<li>Geometry<\/li>\r\n \t<li>HCF<\/li>\r\n \t<li>Profit and Loss<\/li>\r\n \t<li>Time and Distance<\/li>\r\n \t<li>Time and Work<\/li>\r\n \t<li>Number system<\/li>\r\n \t<li>Simple and Compound Interest<\/li>\r\n \t<li>Elementary Statistics<\/li>\r\n \t<li>Decimals<\/li>\r\n<\/ol>\r\n<p style=\"text-align: center;\"><strong><a href=\"https:\/\/entri.app\/exam\/rrb-exams-coaching\/?utm_source=Articles&amp;utm_medium=blog_referral&amp;utm_campaign=follow-these-steps-to-crack-rrb-ntpc-exam\" target=\"_blank\" rel=\"noopener\">\u00a0Prepare for RRB Exam with Expert Mentors! Get Free Demo Classes Here!\u00a0<\/a><\/strong><\/p>\r\n\r\n<h2><span class=\"ez-toc-section\" id=\"Number_System_Notes_for_RRB_NTPC_Exam_2024\"><\/span><strong>Number System Notes for RRB NTPC Exam 2024<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\r\nA 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:\r\n<ul>\r\n \t<li>Binary Number System<\/li>\r\n \t<li>Octal Number System<\/li>\r\n \t<li>Decimal Number System<\/li>\r\n \t<li>Hexadecimal Number System<\/li>\r\n<\/ul>\r\nThese number systems are often utilised in computers nowadays. However, in &#8220;Mathematics,&#8221; we employ the Decimal Number System. &#8220;Deci&#8221; indicates ten, hence the &#8220;Decimal number system&#8221; employs 10 digits (0, 1, 2, 3, 4, 5, 6, 7, 8, 9). Using these digits, we can create any number. This system&#8217;s base is also ten. We have two words for numbers when we represent them.\r\n<ul>\r\n \t<li>Face Value: The face value of a digit in a number is its true value.<\/li>\r\n<\/ul>\r\nEx. 1: The face value of 7 in 38786 is merely 7.\r\n<ul>\r\n \t<li>Place Value: The value of a digit concerning its position in the number is referred to as its place value.<\/li>\r\n<\/ul>\r\nEx-2: The place value of 7 in 38786 is 700, which equals 7\u00d7100.\r\n<h3><strong>Types of Numbers<\/strong><\/h3>\r\n<ul>\r\n \t<li>These are numbers that are represented as the square root of a negative number. These numbers are often written as &#8220;ai,&#8221; where &#8220;a&#8221; is a number and &#8221; i&#8221; 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.<\/li>\r\n \t<li>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.<\/li>\r\n \t<li>Irrational numbers are real numbers that cannot be represented because &#8220;p&#8221; or &#8220;q&#8221; are non-terminating terms. Numbers with a perfect square root are not irrational.<\/li>\r\n \t<li>Real numbers that can be represented as powers of p\/q, where q is a non-zero number, are known as rational numbers. E.g. 1, -4, 2.3, etc.<\/li>\r\n \t<li>Integers are integers with a denominator of &#8216;1&#8217;, 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.<\/li>\r\n \t<li>A fraction is a portion of a whole. Fractions are typically expressed as p\/q, where &#8216;p&#8217; is the numerator and &#8216;q&#8217; is the denominator. Both &#8220;p&#8221; and &#8220;q&#8221; are non-zero terms in this case. Fraction is classified as a proper fraction, improper fraction and mixed fraction.<\/li>\r\n \t<li>A decimal is a fraction with a denominator that is a power of ten. 1.5, 2.75, and 3.873, for example.<\/li>\r\n \t<li>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, &#8230;<\/li>\r\n \t<li>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&#8230;<\/li>\r\n \t<li>An even number is a set of natural numbers that are exactly divisible by two. 2, 4, 6, 8, etc.<\/li>\r\n \t<li>A set of natural numbers other than even numbers are referred to as odd numbers. 1, 3, 5, etc.<\/li>\r\n \t<li>Prime numbers are natural numbers that contain precisely two elements, which are &#8216;1&#8217; and themselves. 2, 3, 5, 7, 11, etc.<\/li>\r\n \t<li>A composite number is a natural number that has more than two elements. 4,6,8,9,10,12&#8230;<\/li>\r\n \t<li>Because 1 has only one factor, it is neither prime nor composite and is thus categorised as a unit.<\/li>\r\n \t<li>Twin prime numbers are two prime numbers that vary by two. (3,5), (5,7), etc (11,13)<\/li>\r\n \t<li>Co-prime numbers are those numbers that have no common factor other than &#8216;1&#8217;. In other words, a set of numbers with H.C.F 1 is a set of co-prime numbers. As an example, (6,35), (12,25)<\/li>\r\n \t<li>The only even prime number is 2.<\/li>\r\n \t<li>There are 15 prime numbers ranging from 1 to 50, and their sum is 328.<\/li>\r\n \t<li>There are 25 prime numbers ranging from 1 to 100, and their sum is 1060.<\/li>\r\n \t<li>The only consecutive prime numbers are 2 and 3.<\/li>\r\n \t<li>The only triplet of twin prime numbers is 3, 5, and 7.<\/li>\r\n \t<li>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&#8217;s factors are 1, 2, 4, 7, 14, 28 and 1 + 2 + 4 + 7 + 14 = 28<\/li>\r\n \t<li>The sum of the reciprocals of a perfect number&#8217;s components is always 2.<\/li>\r\n \t<li>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\u00d72\u00d73&#8230; (N \u2013 1) \u00d7 N.<\/li>\r\n<\/ul>\r\n<p style=\"text-align: center;\"><strong><a href=\"https:\/\/entri.app\/exam\/rrb-exams-coaching\/?utm_source=Articles&amp;utm_medium=blog_referral&amp;utm_campaign=follow-these-steps-to-crack-rrb-ntpc-exam\" target=\"_blank\" rel=\"noopener\">\u00a0Prepare for RRB Exam with Expert Mentors! Get Free Demo Classes Here!\u00a0<\/a><\/strong><\/p>\r\n\r\n<h3><strong>Dividend, Divisor, Quotient, and Remainder Relationship<\/strong><\/h3>\r\n<ul>\r\n \t<li>Dividend = Divisor \u00d7 Quotient + Remainder<\/li>\r\n \t<li>The value of the remainder is always positive.<\/li>\r\n<\/ul>\r\n<h3><strong>Convert a Recurring Decimal Into a Fraction<\/strong><\/h3>\r\nWhen 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 10-1=9. If two numbers are recurring then put the denominator as 100-1=99. Then you can simplify the resulting fraction into their smallest forms.\r\n\r\ne.g. 0.7777\u2026= 7\/ (10-1) = 7\/9\r\n\r\nTo put it simply, we put as many 9s in the denominator as digits are repeating.\r\n\r\nIf the decimal includes a mixed recurring decimal, such as 0.5777&#8230;, then in the denominator, we use zero for non-repeating numbers and 9 for repeating numbers, and we subtract the non-repeating number from the full amount in the numerator.\r\n\r\ne.g. 0.577777\u2026= (57-5)\/ 90= 52\/90\r\n<p style=\"text-align: center;\"><strong><a href=\"https:\/\/entri.app\/exam\/rrb-exams-coaching\/?utm_source=Articles&amp;utm_medium=blog_referral&amp;utm_campaign=follow-these-steps-to-crack-rrb-ntpc-exam\" target=\"_blank\" rel=\"noopener\">\u00a0Prepare for RRB Exam with Expert Mentors! Get Free Demo Classes Here!\u00a0<\/a><\/strong><\/p>\r\n\r\n<h3><strong>Divisibility Test<\/strong><\/h3>\r\nThe criteria for checking divisibility for each number are given in the table below\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td width=\"141\"><strong>Number <\/strong><\/td>\r\n<td width=\"460\"><strong>Condition <\/strong><\/td>\r\n<\/tr>\r\n<tr>\r\n<td width=\"141\">2<\/td>\r\n<td width=\"460\">If a number&#8217;s unit digit is even or the final digit is 0<\/td>\r\n<\/tr>\r\n<tr>\r\n<td width=\"141\">3<\/td>\r\n<td width=\"460\">if the sum of a number&#8217;s digits is a multiple of three<\/td>\r\n<\/tr>\r\n<tr>\r\n<td width=\"141\">4<\/td>\r\n<td width=\"460\">When the final two digits of a number are divisible by four or when the last two digits are zero<\/td>\r\n<\/tr>\r\n<tr>\r\n<td width=\"141\">5<\/td>\r\n<td width=\"460\">If a number&#8217;s final digit is 5 or 0<\/td>\r\n<\/tr>\r\n<tr>\r\n<td width=\"141\">6<\/td>\r\n<td width=\"460\">A number that passes both the 2 and 3 divisibility tests.<\/td>\r\n<\/tr>\r\n<tr>\r\n<td width=\"141\">8<\/td>\r\n<td width=\"460\">When the final three digits of a number are divisible by 8 or when the last three digits are 0<\/td>\r\n<\/tr>\r\n<tr>\r\n<td width=\"141\">9<\/td>\r\n<td width=\"460\">If the sum of a number&#8217;s digits is a multiple of 9<\/td>\r\n<\/tr>\r\n<tr>\r\n<td width=\"141\">10<\/td>\r\n<td width=\"460\">If a number&#8217;s final digit is 0<\/td>\r\n<\/tr>\r\n<tr>\r\n<td width=\"141\">12<\/td>\r\n<td width=\"460\">A number that passes both the 3 and 4 divisibility tests<\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n7 and 11 can be seen as special cases.\r\n<ul>\r\n \t<li>In the case of 7, let&#8217;s have a look at an example. Consider the number 3402<\/li>\r\n<\/ul>\r\n1st step: 340 \u20132 \u00d7 2 = 336\r\n\r\n2nd step: 33 \u2013 2 \u00d7 6 = 21\r\n\r\n3rd step: Determine whether or not 21 is divisible by 7.\r\n\r\nBecause it is divisible by seven, the number is also divisible by seven.\r\n<ul>\r\n \t<li>In the case of 11, Let&#8217;s have a look at an example. For instance, 273691<\/li>\r\n<\/ul>\r\n(2 + 3 + 9) \u2013 (7 + 6 + 1) = 0\r\n\r\nAs a result, the number is divisible by eleven.\r\n\r\nThe 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 &#8220;0 or multiple of 11.&#8221;\r\n<ul>\r\n \t<li>When a six-digit number is generated by repeating a digit (111111, 222222, 333333, etc), it is divisible by three, seven, eleven, thirteen, and thirty-seven.<\/li>\r\n \t<li>When a six-digit number is generated by repeating a two-digit number (272727, 353535, 565656), the result is divisible by three, seven, thirteen, and thirty-seven.<\/li>\r\n \t<li>When a six-digit number is generated by repeating a three-digit number (273273, 135135, 456456) then it is divisible by seven, eleven, and thirteen.<\/li>\r\n<\/ul>\r\n<h2><span class=\"ez-toc-section\" id=\"RRB_NTPC_Previous_Question_Papers_2024\"><\/span><strong>RRB NTPC Previous Question Papers 2024<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\r\nCheck below links provided in the article to get RRB NTPC Previous Question papers, available in both Hindi and English version. Download PDF with answers and practice to score high in upcoming RRB NTPC exams.\r\n<h3><strong>RRB NTPC Previous Question Papers in English PDF\u00a0<\/strong><\/h3>\r\n<div class=\"lead-gen-block\"><a href=\"https:\/\/entri.app\/blog\/wp-content\/uploads\/2019\/03\/14-Jun-9AM-Level-3-EN.pdf\" data-url=\"https:\/\/entri.app\/blog\/wp-content\/uploads\/2019\/03\/14-Jun-9AM-Level-3-EN.pdf\" class=\"lead-pdf-download\" data-id=\"25559237\">\r\n<ul>\r\n \t<li><strong>14 June 2022 9 AM, Level 3 <\/a><\/div><\/strong><\/li>\r\n<\/ul>\r\n<div class=\"lead-gen-block\"><a href=\"https:\/\/entri.app\/blog\/wp-content\/uploads\/2019\/03\/13-Jun-12PM-Level-2-EN.pdf\" data-url=\"https:\/\/entri.app\/blog\/wp-content\/uploads\/2019\/03\/13-Jun-12PM-Level-2-EN.pdf\" class=\"lead-pdf-download\" data-id=\"25559237\">\r\n<ul>\r\n \t<li><strong>13 June 2022 12 PM, Level 2<\/a><\/div><\/strong><\/li>\r\n<\/ul>\r\n<div class=\"lead-gen-block\"><a href=\"https:\/\/entri.app\/blog\/wp-content\/uploads\/2019\/03\/13-Jun-9AM-Level-2-EN.pdf\" data-url=\"https:\/\/entri.app\/blog\/wp-content\/uploads\/2019\/03\/13-Jun-9AM-Level-2-EN.pdf\" class=\"lead-pdf-download\" data-id=\"25559237\">\r\n<ul>\r\n \t<li><strong>13 June 9 AM, Level 2<\/a><\/div><\/strong><\/li>\r\n<\/ul>\r\n<div class=\"lead-gen-block\"><a href=\"https:\/\/entri.app\/blog\/wp-content\/uploads\/2019\/03\/12-Jun-12PM-Level-5-EN.pdf\" data-url=\"https:\/\/entri.app\/blog\/wp-content\/uploads\/2019\/03\/12-Jun-12PM-Level-5-EN.pdf\" class=\"lead-pdf-download\" data-id=\"25559237\">\r\n<ul>\r\n \t<li><strong>12 June 12 PM, Level 5 <\/a><\/div><\/strong><\/li>\r\n<\/ul>\r\n<div class=\"lead-gen-block\"><a href=\"https:\/\/entri.app\/blog\/wp-content\/uploads\/2019\/03\/12-Jun-9AM-Level-5-EN.pdf\" data-url=\"https:\/\/entri.app\/blog\/wp-content\/uploads\/2019\/03\/12-Jun-9AM-Level-5-EN.pdf\" class=\"lead-pdf-download\" data-id=\"25559237\">\r\n<ul>\r\n \t<li><strong>12 June 9 AM, Level 5<\/a><\/div><\/strong><\/li>\r\n<\/ul>\r\n<h3><strong>RRB NTPC Previous Question Papers in Hindi PDF\u00a0<\/strong><\/h3>\r\n<div class=\"lead-gen-block\"><a href=\"https:\/\/entri.app\/blog\/wp-content\/uploads\/2019\/03\/14-Jun-9AM-Level-3-HN.pdf\" data-url=\"https:\/\/entri.app\/blog\/wp-content\/uploads\/2019\/03\/14-Jun-9AM-Level-3-HN.pdf\" class=\"lead-pdf-download\" data-id=\"25559237\">\r\n<ul>\r\n \t<li><strong>14 June 2022 9 AM, Level 3<\/a><\/div><\/strong><\/li>\r\n<\/ul>\r\n<div class=\"lead-gen-block\"><a href=\"https:\/\/entri.app\/blog\/wp-content\/uploads\/2019\/03\/13-Jun-12PM-Level-2-HN.pdf\" data-url=\"https:\/\/entri.app\/blog\/wp-content\/uploads\/2019\/03\/13-Jun-12PM-Level-2-HN.pdf\" class=\"lead-pdf-download\" data-id=\"25559237\">\r\n<ul>\r\n \t<li><strong>13 June 2022 12 PM, Level 2<\/a><\/div><\/strong><\/li>\r\n<\/ul>\r\n<div class=\"lead-gen-block\"><a href=\"https:\/\/entri.app\/blog\/wp-content\/uploads\/2019\/03\/13-Jun-9AM-Level-2-HN.pdf\" data-url=\"https:\/\/entri.app\/blog\/wp-content\/uploads\/2019\/03\/13-Jun-9AM-Level-2-HN.pdf\" class=\"lead-pdf-download\" data-id=\"25559237\">\r\n<ul>\r\n \t<li><strong>13 June 9 AM, Level 2<\/a><\/div><\/strong><\/li>\r\n<\/ul>\r\n<div class=\"lead-gen-block\"><a href=\"https:\/\/entri.app\/blog\/wp-content\/uploads\/2019\/03\/12-Jun-12PM-Level-5-HN.pdf\" data-url=\"https:\/\/entri.app\/blog\/wp-content\/uploads\/2019\/03\/12-Jun-12PM-Level-5-HN.pdf\" class=\"lead-pdf-download\" data-id=\"25559237\">\r\n<ul>\r\n \t<li><strong>12 June 12 PM, Level<\/strong> <strong>5<\/a><\/div><\/strong><\/li>\r\n<\/ul>\r\n<div class=\"lead-gen-block\"><a href=\"https:\/\/entri.app\/blog\/wp-content\/uploads\/2019\/03\/12-Jun-9AM-Level-5-HN.pdf\" data-url=\"https:\/\/entri.app\/blog\/wp-content\/uploads\/2019\/03\/12-Jun-9AM-Level-5-HN.pdf\" class=\"lead-pdf-download\" data-id=\"25559237\">\r\n<ul>\r\n \t<li><strong>12 June 9 AM, Level 5<\/a><\/div><\/strong><\/li>\r\n<\/ul>\r\n<div class=\"lead-gen-block\"><a href=\"https:\/\/entri.app\/blog\/wp-content\/uploads\/2019\/03\/RRB-NTPC-Exam-2012-Paper-2-1.pdf\" data-url=\"https:\/\/entri.app\/blog\/wp-content\/uploads\/2019\/03\/RRB-NTPC-Exam-2012-Paper-2-1.pdf\" class=\"lead-pdf-download\" data-id=\"25559237\">\r\n<ul>\r\n \t<li><strong>RRB NTPC 2012<\/a><\/div><\/strong><\/li>\r\n<\/ul>\r\n<h2><span class=\"ez-toc-section\" id=\"RRB_NTPC_Syllabus_2024_PDF\"><\/span><strong>RRB NTPC Syllabus 2024 PDF<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\r\n<div class=\"lead-gen-block\"><a href=\"https:\/\/entri.app\/blog\/wp-content\/uploads\/2024\/09\/RRB-NTPC-Syllabus-2024.pdf\" data-url=\"https:\/\/entri.app\/blog\/wp-content\/uploads\/2024\/09\/RRB-NTPC-Syllabus-2024.pdf\" class=\"lead-pdf-download\" data-id=\"25559237\">\r\n<p class=\"entry-title\" style=\"text-align: center;\"><strong>RRB NTPC Syllabus 2024 PDF- Click to Download<\/strong><\/p>\r\n<\/a><\/div>\r\n\r\nThe 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 2024. Constant practice will also help you enhance your speed. <a href=\"https:\/\/entri.sng.link\/Bcofz\/fy8s\/0bjx\" target=\"_blank\" rel=\"noopener\">Download the Entri app<\/a> to practise additional modal questions on the number system topic for the RRB NTPC Exam 2024. Detailed notes and explanations for above-mentioned theories are available in the Entri app.\r\n<div style=\"text-align: center;\">\r\n<h2 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"Secure_a_job_in_railway_join_now\"><\/span><a class=\"btn btn-default\" href=\"https:\/\/entri.app\/exam\/rrb-exams-coaching\/\">Secure a job in railway! join now!!<\/a><span class=\"ez-toc-section-end\"><\/span><\/h2>\r\n<\/div>\r\n<!-- \/wp:post-content --><!-- wp:paragraph -->\r\n\r\n<strong>Entri wishes all the candidates the very best for the upcoming examination!\u00a0<\/strong>\r\n\r\n<!-- wp:image {\"id\":2366} \/--><!-- wp:paragraph -->\r\n<table dir=\"ltr\" border=\"1\" cellspacing=\"0\" cellpadding=\"0\"><colgroup><col width=\"322\" \/><col width=\"324\" \/><\/colgroup>\r\n<tbody>\r\n<tr>\r\n<td style=\"text-align: center;\" colspan=\"2\" rowspan=\"1\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RRB NTPC Information&quot;}\" data-sheets-textstyleruns=\"{&quot;1&quot;:0,&quot;2&quot;:{&quot;5&quot;:1,&quot;6&quot;:1}}\uee10{&quot;1&quot;:8}\"><em><strong>RRB NTPC Exam Information Links<\/strong><\/em><\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RRB NTPC Syllabus&quot;}\" data-sheets-hyperlink=\"https:\/\/entri.app\/blog\/rrb-ntpc-syllabus\/\"><a class=\"waffle-rich-text-link\" href=\"https:\/\/entri.app\/blog\/rrb-ntpc-recruitment\/\">RRB NTPC Notification<\/a><\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RRB NTPC Mock Test&quot;}\" data-sheets-hyperlink=\"https:\/\/entri.app\/blog\/rrb-ntpc-free-mock-test-online\/\"><a class=\"in-cell-link\" href=\"https:\/\/entri.app\/blog\/rrb-ntpc-free-mock-test-online\/\" target=\"_blank\" rel=\"noopener\">RRB NTPC Mock Test<\/a><\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RRB NTPC Exam date&quot;}\" data-sheets-hyperlink=\"https:\/\/entri.app\/blog\/rrb-ntpc-exam-date\/\"><a class=\"waffle-rich-text-link\" href=\"https:\/\/entri.app\/blog\/rrb-ntpc-syllabus\/\">RRB NTPC Syllabus<\/a><\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RRB NTPC Video Course&quot;}\">RRB NTPC Video Course<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RRB NTPC Application Form&quot;}\" data-sheets-hyperlink=\"https:\/\/entri.app\/blog\/rrb-ntpc-recruitment-application-procedure\/\"><a class=\"waffle-rich-text-link\" href=\"https:\/\/entri.app\/blog\/rrb-ntpc-exam-date\/\">RRB NTPC Exam Date<\/a><\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RRB NTPC Study Materials&quot;}\" data-sheets-hyperlink=\"https:\/\/entri.app\/blog\/rrb-ntpc-study-materials\/\"><a class=\"in-cell-link\" href=\"https:\/\/entri.app\/blog\/rrb-ntpc-study-materials\/\" target=\"_blank\" rel=\"noopener\">RRB NTPC Study Materials<\/a><\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RRB NTPC Vacancy&quot;}\" data-sheets-hyperlink=\"https:\/\/entri.app\/blog\/rrb-ntpc-recruitment-vacancy\/\"><a class=\"waffle-rich-text-link\" href=\"https:\/\/entri.app\/blog\/rrb-ntpc-recruitment-application-procedure\/\">RRB NTPC Application Form<\/a><\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RRB NTPC Interview Questions&quot;}\">RRB NTPC Interview Questions<\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RRB NTPC Admit Card&quot;}\" data-sheets-hyperlink=\"https:\/\/entri.app\/blog\/rrb-ntpc-admit-card\/\"><a class=\"waffle-rich-text-link\" href=\"https:\/\/entri.app\/blog\/rrb-ntpc-recruitment-vacancy\/\">RRB NTPC Vacancy<\/a><\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RRB NTPC Job Profile&quot;}\" data-sheets-hyperlink=\"https:\/\/entri.app\/blog\/rrb-ntpc-job-profile\/\"><a class=\"in-cell-link\" href=\"https:\/\/entri.app\/blog\/rrb-ntpc-job-profile\/\" target=\"_blank\" rel=\"noopener\">RRB NTPC Job Profile<\/a><\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RRB NTPC Study Plan&quot;}\" data-sheets-hyperlink=\"https:\/\/entri.app\/blog\/rrb-ntpc-study-plan\/\"><a class=\"waffle-rich-text-link\" href=\"https:\/\/entri.app\/blog\/rrb-ntpc-admit-card\/\">RRB NTPC Admit Card<\/a><\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RRB NTPC Salary&quot;}\" data-sheets-hyperlink=\"https:\/\/entri.app\/blog\/rrb-ntpc-salary\/\"><a class=\"in-cell-link\" href=\"https:\/\/entri.app\/blog\/rrb-ntpc-salary\/\" target=\"_blank\" rel=\"noopener\">RRB NTPC Salary<\/a><\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RRB NTPC Previous Question papers&quot;}\" data-sheets-hyperlink=\"https:\/\/entri.app\/blog\/rrb-ntpc-recruitment-previous-year-question-paper\/\"><a class=\"waffle-rich-text-link\" href=\"https:\/\/entri.app\/blog\/rrb-ntpc-study-plan\/\">RRB NTPC Study Plan<\/a><\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RRB NTPC Preparation Tips and Tricks&quot;}\" data-sheets-hyperlink=\"https:\/\/entri.app\/blog\/how-to-crack-rrb-ntpc-in-first-attempt\/\"><a class=\"in-cell-link\" href=\"https:\/\/entri.app\/blog\/how-to-crack-rrb-ntpc-in-first-attempt\/\" target=\"_blank\" rel=\"noopener\">RRB NTPC Preparation Tips and Tricks<\/a><\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RRB NTPC Best books&quot;}\" data-sheets-hyperlink=\"https:\/\/entri.app\/blog\/rrb-ntpc-books-for-reference\/\"><a class=\"in-cell-link\" href=\"https:\/\/entri.app\/blog\/rrb-ntpc-books-for-reference\/\" target=\"_blank\" rel=\"noopener\">RRB NTPC Best Books<\/a><\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RRB NTPC Result&quot;}\" data-sheets-hyperlink=\"https:\/\/entri.app\/blog\/rrb-group-d-result\/\"><a class=\"in-cell-link\" href=\"https:\/\/entri.app\/blog\/rrb-group-d-result\/\" target=\"_blank\" rel=\"noopener\">RRB NTPC Result<\/a><\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RRB NTPC Eligibility Criteria&quot;}\" data-sheets-hyperlink=\"https:\/\/entri.app\/blog\/rrb-ntpc-eligibility-criteria\/\"><a class=\"in-cell-link\" href=\"https:\/\/entri.app\/blog\/rrb-ntpc-eligibility-criteria\/\" target=\"_blank\" rel=\"noopener\">RRB NTPC Eligibility Criteria<\/a><\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RRB NTPC Cutoff&quot;}\" data-sheets-hyperlink=\"https:\/\/entri.app\/blog\/rrb-ntpc-cut-off-mark\/\"><a class=\"in-cell-link\" href=\"https:\/\/entri.app\/blog\/rrb-ntpc-cut-off-mark\/\" target=\"_blank\" rel=\"noopener\">RRB NTPC Cutoff<\/a><\/td>\r\n<\/tr>\r\n<tr>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RRB NTPC Selection Process&quot;}\" data-sheets-hyperlink=\"https:\/\/entri.app\/blog\/rrb-ntpc-selection-process\/\"><a class=\"in-cell-link\" href=\"https:\/\/entri.app\/blog\/rrb-ntpc-selection-process\/\" target=\"_blank\" rel=\"noopener\">RRB NTPC Selection Process<\/a><\/td>\r\n<td data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RRB NTPC Exam Analysis&quot;}\" data-sheets-hyperlink=\"https:\/\/entri.app\/blog\/rrb-ntpc-exam-analysis\/\"><a class=\"in-cell-link\" href=\"https:\/\/entri.app\/blog\/rrb-ntpc-exam-analysis\/\" target=\"_blank\" rel=\"noopener\">RRB NTPC Exam Analysis<\/a><\/td>\r\n<\/tr>\r\n<tr>\r\n<td style=\"text-align: center;\" colspan=\"2\" rowspan=\"1\" data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;RRB NTPC Answer key&quot;}\" data-sheets-hyperlink=\"https:\/\/entri.app\/blog\/rrb-ntpc-answer-key\/\"><a class=\"in-cell-link\" href=\"https:\/\/entri.app\/blog\/rrb-ntpc-answer-key\/\" target=\"_blank\" rel=\"noopener\">RRB NTPC Answer 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