{"id":191512,"date":"2026-01-18T22:40:00","date_gmt":"2026-01-18T17:10:00","guid":{"rendered":"https:\/\/www.practicemock.com\/blog\/?p=191512"},"modified":"2026-01-16T17:45:21","modified_gmt":"2026-01-16T12:15:21","slug":"number-system-questions-for-ssc-chsl","status":"publish","type":"post","link":"https:\/\/www.practicemock.com\/blog\/number-system-questions-for-ssc-chsl\/","title":{"rendered":"Number System Questions for SSC CHSL: 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\/ssc-chsl\/\">SSC CHSL<\/a><\/span> \u00bb <span class=\"breadcrumb_last\" aria-current=\"page\">Number System Questions for SSC CHSL<\/span><\/span><\/div>\n\n\n<p><\/p>\n\n\n\n<p><strong>Are you preparing for the <a href=\"https:\/\/www.practicemock.com\/blog\/ssc-chsl\/\" target=\"_blank\" rel=\"noreferrer noopener\">SSC CHSL exam<\/a> to secure a government job as an LDC or DEO?<\/strong> We know that for many students, the Quantitative Aptitude is a tough section. You might feel confident in English or GK, but when it comes to Math, you get nervous. But there is a topic which simple, easy, and scoring, which is the number system. It tests your speed and basic logic. If you master it, you automatically get better at Algebra and Arithmetic. The questions are straightforward, usually about remainders, divisibility, or unit digits. To help you practice the right questions, we have compiled the most important Number System questions for SSC CHSL into a free PDF. You can download it from this blog.<\/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 wp-element-button\" href=\"https:\/\/www.practicemock.com\/ssc-chsl-test-series\/?ref=15002\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Attempt a Free SSC CHSL Mock Test and Check Your AIR<\/strong><\/a><\/div>\n<\/div>\n\n\n\n<p><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Why is the Number System Important for SSC CHSL?<\/h2>\n\n\n\n<p>In the Tier 1 exam (25 Math questions), Number System is a critical area.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Consistent Marks:<\/strong> You can expect <strong>2-3 questions<\/strong> in every shift. These are often the first few questions in the paper.<\/li>\n\n\n\n<li><strong>Foundation for Algebra:<\/strong> Concepts like &#8220;Rationalization&#8221; or &#8220;Surds and Indices&#8221; learned here are directly used in Algebra.<\/li>\n\n\n\n<li><strong>Option Elimination:<\/strong> Number System teaches you divisibility rules. You can use these rules to eliminate wrong options in topics like Mensuration and Profit &amp; Loss without solving the whole problem.<\/li>\n<\/ul>\n\n\n\n<p><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Download Free PDF of Number System Questions for SSC CHSL<\/h2>\n\n\n\n<p>We have prepared a comprehensive PDF containing exam-level questions. We have chosen questions that match the exact difficulty level of SSC CHSL\u2014tricky yet solvable in under 40 seconds. Download it, save it, and practice these questions to sharpen your logic.<\/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 wp-element-button\" href=\"https:\/\/www.practicemock.com\/ssc-chsl-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-pdf-for-ssc-chsl.pdf&amp;ref=15002\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Download Free PDF of Number System Questions for SSC CHSL<\/strong><\/a><\/div>\n<\/div>\n\n\n\n<p><\/p>\n\n\n\n<p>Q1. If the 8-digit number 789x531y is divisible by 72, then the value of (5x \u2212 3y) is:<\/p>\n\n\n\n<p>(a) 0<br>(b) 1<br>(c) 2<br>(d) \u22121<\/p>\n\n\n\n<p>Answer: (d) \u22121<\/p>\n\n\n\n<p>Logic:<br>For 72 \u2192 check divisibility by 8 and 9.<\/p>\n\n\n\n<p>Divisible by 8:<br>Last three digits 31y must be divisible by 8.<br>312 works \u2192 y = 2<\/p>\n\n\n\n<p>Divisible by 9:<br>7 + 8 + 9 + x + 5 + 3 + 1 + 2 = 35 + x<br>Next multiple of 9 is 36 \u2192 x = 1<\/p>\n\n\n\n<p>So,<br>5x \u2212 3y = 5(1) \u2212 3(2) = 5 \u2212 6 = \u22121<\/p>\n\n\n\n<p>Q2. What is the remainder when 67\u2076\u2077 + 67 is divided by 68?<\/p>\n\n\n\n<p>(a) 1<br>(b) 63<br>(c) 66<br>(d) 67<\/p>\n\n\n\n<p>Answer: (c) 66<\/p>\n\n\n\n<p>Logic:<br>67 \u2261 \u22121 (mod 68)<\/p>\n\n\n\n<p>(\u22121)\u2076\u2077 + (\u22121) = \u22121 \u2212 1 = \u22122<\/p>\n\n\n\n<p>Remainder cannot be negative \u2192 68 \u2212 2 = 66<\/p>\n\n\n\n<p>Q3. The sum of three consecutive odd natural numbers is 87. What is the smallest number?<\/p>\n\n\n\n<p>(a) 29<br>(b) 27<br>(c) 31<br>(d) 25<\/p>\n\n\n\n<p>Answer: (b) 27<\/p>\n\n\n\n<p>Logic:<br>Average = middle number<br>87 \u00f7 3 = 29<\/p>\n\n\n\n<p>So numbers: 27, 29, 31<br>Smallest = 27<\/p>\n\n\n\n<p>Q4. Find the unit digit of (4387)\u00b2\u2074\u2075 \u00d7 (621)\u2077\u00b2<\/p>\n\n\n\n<p>(a) 1<br>(b) 7<br>(c) 9<br>(d) 3<\/p>\n\n\n\n<p>Answer: (b) 7<\/p>\n\n\n\n<p>Logic:<br>Last digit of 4387 \u2192 7<br>Cycle of 7 repeats every 4.<\/p>\n\n\n\n<p>245 \u00f7 4 leaves remainder 1 \u2192 unit digit = 7<\/p>\n\n\n\n<p>621 ends with 1 \u2192 always gives 1<\/p>\n\n\n\n<p>7 \u00d7 1 = 7<\/p>\n\n\n\n<p>Q5. Which of the following numbers is divisible by 11?<\/p>\n\n\n\n<p>(a) 4823718<br>(b) 8423718<br>(c) 8432718<br>(d) 4832718<\/p>\n\n\n\n<p>Answer: (d) 4832718<\/p>\n\n\n\n<p>Logic:<br>(4 + 3 + 7 + 8) \u2212 (8 + 2 + 1) = 22 \u2212 11 = 11<\/p>\n\n\n\n<p>Since 11 is divisible by 11 \u2192 number is divisible.<\/p>\n\n\n\n<p>Q6. If a positive integer n is divided by 7, the remainder is 2. Which gives remainder 0 when divided by 7?<\/p>\n\n\n\n<p>(a) n + 2<br>(b) n + 1<br>(c) n + 5<br>(d) n \u2212 5<\/p>\n\n\n\n<p>Answer: (c) n + 5<\/p>\n\n\n\n<p>Logic:<br>Take n = 9 (because 9 \u00f7 7 leaves remainder 2)<br>9 + 5 = 14 \u2192 divisible by 7<\/p>\n\n\n\n<p>Q7. How many numbers between 200 and 800 are divisible by both 5 and 7?<\/p>\n\n\n\n<p>(a) 15<br>(b) 16<br>(c) 17<br>(d) 18<\/p>\n\n\n\n<p>Answer: (c) 17<\/p>\n\n\n\n<p>Logic:<br>LCM of 5 and 7 = 35<\/p>\n\n\n\n<p>200 \u00f7 35 \u2248 5.7 \u2192 start from 6th multiple<br>800 \u00f7 35 \u2248 22.8 \u2192 up to 22nd multiple<\/p>\n\n\n\n<p>22 \u2212 5 = 17<\/p>\n\n\n\n<p>Q8. The value of 0.4(23 repeating) is:<\/p>\n\n\n\n<p>(a) 419\/990<br>(b) 423\/1000<br>(c) 423\/990<br>(d) 419\/999<\/p>\n\n\n\n<p>Answer: (a) 419\/990<\/p>\n\n\n\n<p>Logic:<br>(423 \u2212 4) \/ 990 = 419 \/ 990<\/p>\n\n\n\n<p>Q9. If \u221ax + 1\/\u221ax = \u221a6, then find x\u00b2 + 1\/x\u00b2<\/p>\n\n\n\n<p>(a) 18<br>(b) 14<br>(c) 16<br>(d) 12<\/p>\n\n\n\n<p>Answer: (b) 14<\/p>\n\n\n\n<p>Logic:<br>Square both sides:<\/p>\n\n\n\n<p>x + 1\/x + 2 = 6<br>x + 1\/x = 4<\/p>\n\n\n\n<p>Square again:<\/p>\n\n\n\n<p>x\u00b2 + 1\/x\u00b2 + 2 = 16<br>x\u00b2 + 1\/x\u00b2 = 14<\/p>\n\n\n\n<p>Q10. The HCF of two numbers is 23 and the other two factors of their LCM are 13 and 14. The larger number is:<\/p>\n\n\n\n<p>(a) 299<br>(b) 322<br>(c) 345<br>(d) 325<\/p>\n\n\n\n<p>Answer: (b) 322<\/p>\n\n\n\n<p>Logic:<br>Numbers = 23 \u00d7 13 and 23 \u00d7 14<br>Larger = 23 \u00d7 14 = 322<\/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 wp-element-button\" href=\"https:\/\/www.practicemock.com\/ssc-chsl-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-pdf-for-ssc-chsl.pdf&amp;ref=15002\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Download Free PDF of Number System Questions for SSC CHSL<\/strong><\/a><\/div>\n<\/div>\n\n\n\n<p><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">5 Preparation Tips to Master the Number System<\/h2>\n\n\n\n<p>Number System is the art of playing with digits. You don&#8217;t always need long division or multiplication. You need smart methods. To help you score full marks in this section, here are 5 practical tips designed specifically for the SSC CHSL exam pattern:<\/p>\n\n\n\n<ol start=\"1\" class=\"wp-block-list\">\n<li><strong>Master Divisibility Rules (7, 11, 13, 72, 88):<\/strong> SSC CHSL mostly asks, &#8220;Is this number divisible by 88?&#8221; Don&#8217;t divide by 88. Check divisibility by <strong>8 and 11<\/strong>. Similarly, for 72, check 8 and 9. This trick solves 50% of the questions.<\/li>\n\n\n\n<li><strong>Learn the &#8220;Cyclicity&#8221; of Unit Digits:<\/strong> Don&#8217;t multiply huge numbers. Learn that the unit digit of numbers ending in 2, 3, 7, 8 repeats every 4 times (Cycle 4). This helps you solve questions like 2<sup>35<\/sup> in seconds.<\/li>\n\n\n\n<li><strong>Use Option Elimination:<\/strong> If a question asks &#8220;Which number is divisible by X?&#8221;, start by eliminating options using the unit digit or digital sum. Often, you can find the answer without solving.<\/li>\n\n\n\n<li><strong>Practice Remainder Theorem:<\/strong> Learn the basics of positive and negative remainders. For example, 17 divided by 18 gives a remainder of -1 (which is 17). This concept is crucial for power-based questions.<\/li>\n\n\n\n<li><strong>Attempt Topic Tests:<\/strong> Reading formulas is passive. Applying them is active. Attempt our <strong><a href=\"https:\/\/www.practicemock.com\/ssc-chsl-test-series\/?ref=15002\" target=\"_blank\" rel=\"noreferrer noopener\">free Topic Tests<\/a><\/strong> to train your brain to spot the logic in under 30 seconds.<\/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=15002\" 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 Related Article SSC CHSL<\/strong><\/td><\/tr><tr><td><a href=\"https:\/\/www.practicemock.com\/blog\/ssc-chsl\/\" target=\"_blank\" rel=\"noreferrer noopener\">SSC CHSL Notification<\/a><\/td><td><a href=\"https:\/\/www.practicemock.com\/blog\/ssc-chsl-study-plan-2025\/\" target=\"_blank\" rel=\"noreferrer noopener\">SSC CHSL Study Plan<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/www.practicemock.com\/blog\/ssc-chsl-previous-year-question-paper\/\" target=\"_blank\" rel=\"noreferrer noopener\">SSC CHSL Previous Year Question Paper<\/a><\/td><td><a href=\"https:\/\/www.practicemock.com\/blog\/ssc-chsl-salary\/\" target=\"_blank\" rel=\"noreferrer noopener\">SSC CHSL Salary<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/www.practicemock.com\/blog\/ssc-chsl-cut-off\/\" target=\"_blank\" rel=\"noreferrer noopener\">SSC CHSL Cut Off<\/a><\/td><td><a href=\"https:\/\/www.practicemock.com\/blog\/ssc-chsl-selection-process\/\" target=\"_blank\" rel=\"noreferrer noopener\">SSC CHSL Selection Process<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/www.practicemock.com\/blog\/ssc-chsl-syllabus\/\" target=\"_blank\" rel=\"noreferrer noopener\">SSC CHSL Syllabus<\/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 SSC CHSL<\/h2>\n\n\n\n<div class=\"schema-faq wp-block-yoast-faq-block\"><div class=\"schema-faq-section\" id=\"faq-question-1767679014133\"><strong class=\"schema-faq-question\">Is the Number System difficult in SSC CHSL?<\/strong> <p class=\"schema-faq-answer\">No, but you can expect the difficulty level of number system questions in SSC CHSL to range from easy to moderate. One can solve these questions easily if he\/she has done good practice on them.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1767679091771\"><strong class=\"schema-faq-question\">How many questions can I expect from this topic in the exam?<\/strong> <p class=\"schema-faq-answer\">After an in-depth analysis of the exam, you can expect at least 2 to 3 questions in the Tier 1 Quantitative Aptitude section.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1767679163675\"><strong class=\"schema-faq-question\">What is the most important concept in the Number System for CHSL?<\/strong> <p class=\"schema-faq-answer\">Divisibility Rules (especially for composite numbers like 72, 88) and Remainder Theorem are the most frequently asked concepts.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1767679190115\"><strong class=\"schema-faq-question\">Do I need to learn the Number System for Data Interpretation?<\/strong> <p class=\"schema-faq-answer\">Yes! DI calculation speeds up if you are good at Number System (approximations and divisibility).<\/p> <\/div> <\/div>\n","protected":false},"excerpt":{"rendered":"<p>Download free PDF of exam-level Number System Questions for SSC CHSL and attempt free tests to boost your overall preparation.<\/p>\n","protected":false},"author":25,"featured_media":191516,"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":[23],"tags":[],"class_list":["post-191512","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-ssc-chsl"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v25.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ 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