{"id":189686,"date":"2025-12-02T22:40:00","date_gmt":"2025-12-02T17:10:00","guid":{"rendered":"https:\/\/www.practicemock.com\/blog\/?p=189686"},"modified":"2025-12-02T17:10:45","modified_gmt":"2025-12-02T11:40:45","slug":"number-system-questions-for-rrb-ntpc","status":"publish","type":"post","link":"https:\/\/www.practicemock.com\/blog\/number-system-questions-for-rrb-ntpc\/","title":{"rendered":"Number System Questions for RRB NTPC, Download Free PDF"},"content":{"rendered":"\n<p><\/p>\n\n\n<div class=\"yoast-breadcrumbs\"><span><span><a href=\"https:\/\/www.practicemock.com\/blog\/\">Home<\/a><\/span> \u00bb <span><a href=\"https:\/\/www.practicemock.com\/blog\/category\/rrb-ntpc\/\">RRB NTPC<\/a><\/span> \u00bb <span class=\"breadcrumb_last\" aria-current=\"page\">Number System Questions for RRB NTPC<\/span><\/span><\/div>\n\n\n<p><\/p>\n\n\n\n<p>Hey, Railway aspirant! Ready to unlock the secrets to dominating the <strong>Numerical Ability<\/strong> section in the <strong><a href=\"https:\/\/www.practicemock.com\/blog\/rrb-ntpc-notification\/\" target=\"_blank\" rel=\"noreferrer noopener\">RRB NTPC exam<\/a><\/strong>? Your foundation must be rock-solid, and that foundation is the Number System. The Number System isn&#8217;t just one topic &#8211; it is the entire backbone of mathematics. You can expect at least 3 to 4 direct, fundamental, and highly scoring questions on concepts like divisibility, factors, remainders, and rational numbers. If you know the divisibility rules and the tricks for remainders, you can easily score good marks in this topic. In this blog, we&#8217;ve provided exam-level Number System questions for the RRB NTPC exam in a free downloadable PDF. But before you download it, take a few free Number System tests to analyze your understanding of this topic.<\/p>\n\n\n\n<p><\/p>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-white-color has-vivid-cyan-blue-background-color has-text-color has-background has-link-color wp-element-button\" href=\"https:\/\/www.practicemock.com\/railway-rrb-ntpc-test-series\/?next=https%3A%2F%2Fs1.practicemock.com%2Fexams%2F%3Fc%3Dssctopicqa%26i%3Dssc&amp;ref=14896\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Attempt Free Number System Tests for RRB NTPC Exam<\/strong><\/a><\/div>\n<\/div>\n\n\n\n<p><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Concept of Number System for RRB NTPC<\/h2>\n\n\n\n<p>The Number System categorizes numbers and focuses on the rules governing them. For the RRB NTPC exam, the most critical areas involve basic properties and fast computation rules:<\/p>\n\n\n\n<ol start=\"1\" class=\"wp-block-list\">\n<li><strong>Classification:<\/strong> Understanding the difference between Natural, Whole, Integers, Rational, and Irrational numbers.<\/li>\n\n\n\n<li><strong>Divisibility Rules:<\/strong> Knowing the quick checks for numbers divisible by 3, 4, 8, 9, 11, etc.<\/li>\n\n\n\n<li><strong>LCM and HCF:<\/strong> Calculating the Least Common Multiple and Highest Common Factor quickly.<\/li>\n\n\n\n<li><strong>Unit Digits &amp; Remainders:<\/strong> Finding the last digit of a large power and calculating the remainder after division.<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">Key Rules You Must Master<\/h3>\n\n\n\n<p>Success in this topic depends entirely on knowing and applying the shortcuts and rules. Memorize these essentials for the RRB NTPC exam:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><td><strong>Topic Category<\/strong><\/td><td><strong>Essential Formulas\/Concepts<\/strong><\/td><\/tr><\/thead><tbody><tr><td><strong>Divisibility by 3 &amp; 9<\/strong><\/td><td>A number is divisible by 3 (or 9) if the <strong>sum of its digits<\/strong> is divisible by 3 (or 9).<\/td><\/tr><tr><td><strong>Divisibility by 4 &amp; 8<\/strong><\/td><td>Divisible by 4 if the <strong>last two digits<\/strong> are divisible by 4. Divisible by 8 if the <strong>last three digits<\/strong> are divisible by 8.<\/td><\/tr><tr><td><strong>Divisibility by 11<\/strong><\/td><td>The difference between the <strong>sum of digits at odd places<\/strong> and the <strong>sum of digits at even places<\/strong> must be 0 or a multiple of 11.<\/td><\/tr><tr><td><strong>LCM and HCF Relation<\/strong><\/td><td>Product of two numbers = LCM x HCF<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">Shortcut Tricks to Master Number System Questions<\/h3>\n\n\n\n<p>Forget long division and complex factor trees! Use these tricks to save minutes in the exam:<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Shortcut 1: The Cyclicity of Unit Digits<\/h4>\n\n\n\n<p>This is perfect for finding the unit digit of large powers (e.g., 7<sup>43<\/sup>):<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><td><strong>Base Unit Digit<\/strong><\/td><td><strong>Power Cyclicity<\/strong><\/td><\/tr><\/thead><tbody><tr><td><strong>0, 1, 5, 6<\/strong><\/td><td>Unit digit is <strong>always the same<\/strong> (e.g., 6<sup>50<\/sup> ends in 6).<\/td><\/tr><tr><td><strong>4, 9<\/strong><\/td><td>Cycle of 2. (Odd power -> same digit; Even power -> different digit).<\/td><\/tr><tr><td><strong>2, 3, 7, 8<\/strong><\/td><td>Cycle of 4. Divide the power by 4, and the <strong>remainder<\/strong> is the effective new power.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li><em>Example:<\/em> Find the unit digit of 3<sup>42<\/sup>.\n<ul class=\"wp-block-list\">\n<li>Divide 42 by 4. The remainder is 2.<\/li>\n\n\n\n<li>The unit digit is the same as 3<sup>2<\/sup> = 9.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">Shortcut 2: Remainder Theorem (Basic)<\/h4>\n\n\n\n<p>When dividing a number by N, you can replace the number with its <strong>remainder<\/strong> before multiplying or adding:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><em>Example:<\/em> Find the remainder of (25 x 26) \/ 5.\n<ul class=\"wp-block-list\">\n<li>Remainder of 25\/5 is 0. Remainder of 26\/5 is 1.<\/li>\n\n\n\n<li>The remainder of (0 x 1) \/ 5 is 0. (Faster than 650\/5 remainder).<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">Number System Questions for RRB NTPC PDF, Download for Free<\/h2>\n\n\n\n<p>The questions asked by RRB in the Numerical Ability section are typically <strong>direct applications of rules<\/strong>. They require quick recall of formulas, divisibility rules, and mental calculation. They are the perfect type of question that can save you time for other time-consuming sections. To help you master these quick facts, we have provided a PDF containing the most important and frequently asked Number System questions for the exam. Click on the button given below to download the Number System Questions for RRB NTPC PDF for free.<\/p>\n\n\n\n<p><\/p>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-white-color has-vivid-cyan-blue-background-color has-text-color has-background has-link-color wp-element-button\" href=\"https:\/\/www.practicemock.com\/railway-rrb-ntpc-test-series\/?next=https%3A%2F%2Fs1.practicemock.com%2Fexams%2F%3Fc%3Ddashboard%26i%3Dssc%26dl%3Dhttps%253A%252F%252Fwww.practicemock.com%252Fpricing%252Fmarketing%252Ffiles%252Fpdf%252Fnumber-system-questions-for-rrb-ntpc.pdf&amp;ref=14896\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Click to Download Number System Questions for RRB NTPC PDF<\/strong><\/a><\/div>\n<\/div>\n\n\n\n<p><\/p>\n\n\n\n<p><strong>Q1. The product of 277 and 323 is:<\/strong><\/p>\n\n\n\n<p>(a) 88471<br>(b) 89471<br>(c) 89391<br>(d) 91371<\/p>\n\n\n\n<p><strong>Correct Answer: (b) 89471<\/strong><\/p>\n\n\n\n<p><strong>Q2. The square of 72 is equal to the product of 216 and a number. Find the number.<\/strong><\/p>\n\n\n\n<p>(a) 18<br>(b) 24<br>(c) 48<br>(d) 36<\/p>\n\n\n\n<p><strong>Correct Answer: (b) 24<\/strong><\/p>\n\n\n\n<p><strong>Q3. Which of the following is the smallest 5-digit number that is exactly divisible by 526?<\/strong><\/p>\n\n\n\n<p>(a) 10426<br>(b) 10520<br>(c) 10516<br>(d) 11046<\/p>\n\n\n\n<p><strong>Correct Answer: (b) 10520<\/strong><\/p>\n\n\n\n<p><strong>Q4. Find the least number divisible by 2, 3, 5, 6, 9, and 18, which is a perfect square.<\/strong><\/p>\n\n\n\n<p>(a) 400<br>(b) 900<br>(c) 3600<br>(d) 144<\/p>\n\n\n\n<p><strong>Correct Answer: (b) 900<\/strong><\/p>\n\n\n\n<p><strong>Q5. 6<sup>25<\/sup>+6<sup>26<\/sup>+6<sup>27<\/sup>+6<sup>28<\/sup> is divisible by:<\/strong><\/p>\n\n\n\n<p>(a) 254<br>(b) 256<br>(c) 259<br>(d) 255<\/p>\n\n\n\n<p><strong>Correct Answer: (c) 259<\/strong><\/p>\n\n\n\n<p><strong>Q6. Which of the following numbers is divisible by 24?<\/strong><\/p>\n\n\n\n<p>(a) 26968<br>(b) 49512<br>(c) 64760<br>(d) 52668<\/p>\n\n\n\n<p><strong>Correct Answer: (b) 49512<\/strong><\/p>\n\n\n\n<p><strong>Q7. An 11-digit number 7823326867X is divisible by 18. What is the value of X?<\/strong><\/p>\n\n\n\n<p>(a) 8<br>(b) 4<br>(c) 2<br>(d) 6<\/p>\n\n\n\n<p><strong>Correct Answer: (c) 2<\/strong><\/p>\n\n\n\n<p><strong>Q8. Find the remainder when 8<sup>8<\/sup>+ 6 is divided by 7.<\/strong><\/p>\n\n\n\n<p>(a) 1<br>(b) 2<br>(c) 3<br>(d) 0<\/p>\n\n\n\n<p><strong>Correct Answer: (d) 0<\/strong><\/p>\n\n\n\n<p><strong>Q9. When a number is divided by 45, the remainder is 21. What will be the remainder when the number is divided by 15?<\/strong><\/p>\n\n\n\n<p>(a) 6<br>(b) 3<br>(c) 0<br>(d) 5<\/p>\n\n\n\n<p><strong>Correct Answer: (a) 6<\/strong><\/p>\n\n\n\n<p><strong>Q10. When m is divided by 7, the remainder is 5. When 3m is divided by 7, the remainder is:<\/strong><\/p>\n\n\n\n<p>(a) 1<br>(b) 2<br>(c) 3<br>(d) 0<\/p>\n\n\n\n<p><strong>Correct Answer: (a) 1<\/strong><\/p>\n\n\n\n<p><\/p>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-white-color has-vivid-cyan-blue-background-color has-text-color has-background has-link-color wp-element-button\" href=\"https:\/\/www.practicemock.com\/railway-rrb-ntpc-test-series\/?next=https%3A%2F%2Fs1.practicemock.com%2Fexams%2F%3Fc%3Ddashboard%26i%3Dssc%26dl%3Dhttps%253A%252F%252Fwww.practicemock.com%252Fpricing%252Fmarketing%252Ffiles%252Fpdf%252Fnumber-system-questions-for-rrb-ntpc.pdf&amp;ref=14896\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Click to Download Number System Questions for RRB NTPC PDF<\/strong><\/a><\/div>\n<\/div>\n\n\n\n<p><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Preparation Tips for RRB NTPC Number System<\/h2>\n\n\n\n<p>The Number System is the foundation of your Quant score. Use these tips to maximize your preparation:<\/p>\n\n\n\n<ol start=\"1\" class=\"wp-block-list\">\n<li><strong>Master Divisibility Rules:<\/strong> Practice the divisibility rules for 11, 8, and 9 daily. These are the most frequently tested rules in RRB exams.<\/li>\n\n\n\n<li><strong>Create a Formula Sheet:<\/strong> Write down all your LCM\/HCF relations and unit digit cyclicity on a single sheet. Revise this chart every morning before starting your practice.<\/li>\n\n\n\n<li><strong>Use Options to Check:<\/strong> When solving a divisibility question, use the rules to test the given options immediately. Often, you can eliminate three options quickly and save time.<\/li>\n\n\n\n<li><strong>Practice High Volume:<\/strong> The Number System requires high repetition to build speed at pattern recognition. Solve a dedicated set of <strong>10-15 questions daily<\/strong> using our <strong><a href=\"https:\/\/www.practicemock.com\/railway-rrb-ntpc-test-series\/?next=https%3A%2F%2Fs1.practicemock.com%2Fexams%2F%3Fc%3Dssctopicqa%26i%3Dssc&amp;ref=14896\" target=\"_blank\" rel=\"noreferrer noopener\">free topic tests<\/a><\/strong>.<\/li>\n<\/ol>\n\n\n\n<p><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><a href=\"https:\/\/www.practicemock.com\/?next=https%3A%2F%2Fwww.practicemock.com%2Fs1pricing%2Findex.php%3Fc%3Dsscpro&amp;ref=14896\" target=\"_blank\" rel=\" noreferrer noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"1141\" height=\"700\" src=\"https:\/\/www.practicemock.com\/blog\/wp-content\/uploads\/2025\/10\/SSC-Packages.png\" alt=\"Budget-friendly online courses for SSC, Railways, and State exams, detailing 'SSC Pro' and 'SSC Prime' features.\" class=\"wp-image-183927\"\/><\/a><\/figure><\/div>\n\n\n<p><\/p>\n\n\n\n<p class=\"has-text-align-center\"><strong><em>Join our exclusive Telegram group for expert guidance, personalized tips, and real-time solutions to boost your SSC exam prep. [<a href=\"https:\/\/t.me\/practicemockssc\" target=\"_blank\" rel=\"noreferrer noopener nofollow\">Click here to join now!<\/a>]<\/em><\/strong><\/p>\n\n\n\n<p><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td colspan=\"2\"><strong>Other Blogs Related To RRB NTPC<\/strong><\/td><\/tr><tr><td><a href=\"https:\/\/www.practicemock.com\/blog\/rrb-ntpc-vacancy\/\" target=\"_blank\" rel=\"noreferrer noopener\">RRB NTPC Vacancy<\/a><\/td><td><a href=\"https:\/\/www.practicemock.com\/blog\/rrb-ntpc-eligibility-criteria\/\" target=\"_blank\" rel=\"noreferrer noopener\">RRB NTPC Eligibility Criteria<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/www.practicemock.com\/blog\/rrb-ntpc-cut-off-2024\/\" target=\"_blank\" rel=\"noreferrer noopener\">RRB NTPC Cut Off<\/a><\/td><td><a href=\"https:\/\/www.practicemock.com\/blog\/rrb-ntpc-syllabus-2024\/\" target=\"_blank\" rel=\"noreferrer noopener\">RRB NTPC Syllabus<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/www.practicemock.com\/blog\/rrb-ntpc-salary-2024\/\" target=\"_blank\" rel=\"noreferrer noopener\">RRB NTPC Salary<\/a><\/td><td><a href=\"https:\/\/www.practicemock.com\/blog\/rrb-ntpc-study-plan-2024\/\" target=\"_blank\" rel=\"noreferrer noopener\">RRB NTPC Study Plan<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/www.practicemock.com\/blog\/rrb-ntpc-preparation-strategy-2024\/\" target=\"_blank\" rel=\"noreferrer noopener\">RRB NTPC Preparation Strategy<\/a><\/td><td><a href=\"https:\/\/www.practicemock.com\/blog\/rrb-ntpc-reasoning-preparation-strategy-2024\/\" target=\"_blank\" rel=\"noreferrer noopener\">RRB NTPC Reasoning Preparation<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/www.practicemock.com\/blog\/rrb-ntpc-general-awareness-preparation-strategy-2024\/\" target=\"_blank\" rel=\"noreferrer noopener\">RRB NTPC General Awareness Preparation<\/a><\/td><td><a href=\"https:\/\/www.practicemock.com\/blog\/rrb-ntpc-mathematics-preparation-strategy-2024\/\" target=\"_blank\" rel=\"noreferrer noopener\">RRB NTPC Mathematics Preparation<\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">FAQs: Number System Questions for RRB NTPC<\/h2>\n\n\n\n<div class=\"schema-faq wp-block-yoast-faq-block\"><div class=\"schema-faq-section\" id=\"faq-question-1764673960795\"><strong class=\"schema-faq-question\">How many Number System questions are asked in the RRB NTPC exam?<\/strong> <p class=\"schema-faq-answer\">You can generally expect 3 to 4 direct, fundamental questions from the Number System in the Numerical Ability section.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1764673976202\"><strong class=\"schema-faq-question\">What is the most important sub-topic in the Number System for NTPC?<\/strong> <p class=\"schema-faq-answer\">Divisibility Rules and LCM\/HCF are considered the most important and frequently asked sub-topics.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1764674025168\"><strong class=\"schema-faq-question\">How can I improve my speed in Number System questions?<\/strong> <p class=\"schema-faq-answer\">The best way is to memorize the cyclicity of unit digits and practice applying the divisibility rules mentally without writing too many steps.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1764674049671\"><strong class=\"schema-faq-question\">Where can I get the Number System Questions PDF for RRB NTPC?<\/strong> <p class=\"schema-faq-answer\">You can download the free PDF containing solved, practice-based Number System questions directly from the link in this blog.<\/p> <\/div> <\/div>\n","protected":false},"excerpt":{"rendered":"<p>Solve exam-level Number System Questions for RRB NTPC exam. It will help you know the types of questions and difficulty level of the questions.<\/p>\n","protected":false},"author":25,"featured_media":189693,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_uag_custom_page_level_css":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"_uf_show_specific_survey":0,"_uf_disable_surveys":false,"footnotes":""},"categories":[21],"tags":[],"class_list":["post-189686","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-rrb-ntpc"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v25.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Number System Questions for RRB NTPC, Download Free PDF<\/title>\n<meta name=\"description\" content=\"Solve exam-level Number System Questions for RRB NTPC exam. 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It will help you know the types of questions and difficulty level of the questions.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.practicemock.com\/blog\/number-system-questions-for-rrb-ntpc\/","og_locale":"en_US","og_type":"article","og_title":"Number System Questions for RRB NTPC, Download Free PDF","og_description":"Solve exam-level Number System Questions for RRB NTPC exam. It will help you know the types of questions and difficulty level of the questions.","og_url":"https:\/\/www.practicemock.com\/blog\/number-system-questions-for-rrb-ntpc\/","og_site_name":"Practicemock","article_published_time":"2025-12-02T17:10:00+00:00","og_image":[{"width":1200,"height":675,"url":"https:\/\/www.practicemock.com\/blog\/wp-content\/uploads\/2025\/12\/New-FI-Templates-73.png","type":"image\/png"}],"author":"Abhishek Jatariya","twitter_card":"summary_large_image","twitter_misc":{"Written by":"Abhishek Jatariya","Est. reading time":"6 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":["WebPage","FAQPage"],"@id":"https:\/\/www.practicemock.com\/blog\/number-system-questions-for-rrb-ntpc\/","url":"https:\/\/www.practicemock.com\/blog\/number-system-questions-for-rrb-ntpc\/","name":"Number System Questions for RRB NTPC, Download Free PDF","isPartOf":{"@id":"https:\/\/www.practicemock.com\/blog\/#website"},"primaryImageOfPage":{"@id":"https:\/\/www.practicemock.com\/blog\/number-system-questions-for-rrb-ntpc\/#primaryimage"},"image":{"@id":"https:\/\/www.practicemock.com\/blog\/number-system-questions-for-rrb-ntpc\/#primaryimage"},"thumbnailUrl":"https:\/\/www.practicemock.com\/blog\/wp-content\/uploads\/2025\/12\/New-FI-Templates-73.png","datePublished":"2025-12-02T17:10:00+00:00","author":{"@id":"https:\/\/www.practicemock.com\/blog\/#\/schema\/person\/c31174d4112cf4e827e441653855a4df"},"description":"Solve exam-level Number System Questions for RRB NTPC exam. 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