{"id":191049,"date":"2025-12-28T22:40:00","date_gmt":"2025-12-28T17:10:00","guid":{"rendered":"https:\/\/www.practicemock.com\/blog\/?p=191049"},"modified":"2025-12-26T18:15:20","modified_gmt":"2025-12-26T12:45:20","slug":"algebra-questions-for-rrb-ntpc","status":"publish","type":"post","link":"https:\/\/www.practicemock.com\/blog\/algebra-questions-for-rrb-ntpc\/","title":{"rendered":"Algebra Questions for RRB NTPC: Download Free PDF &#038; Practice Now"},"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\">Algebra Questions for RRB NTPC<\/span><\/span><\/div>\n\n\n<p><\/p>\n\n\n\n<p>Dreaming of a job in the <a href=\"https:\/\/www.practicemock.com\/blog\/rrb-ntpc-notification\/\" target=\"_blank\" rel=\"noreferrer noopener\">Indian Railways<\/a>? Whether you want to be a clerk or a Station Master, the RRB NTPC exam is your golden ticket. But to get that ticket, you have to cross the hurdle of Mathematics. Many students get scared when they see Algebra questions with x, y, and z. They think they need a lot of practice, but Algebra in RRB NTPC is actually very simple. It is not as complex as other exams. It is purely based on a few fixed formulas. If you memorize just 5 or 6 standard identities, you can solve these questions in seconds without any confusion. To help you prepare smart, we have analyzed previous Railway papers and created a PDF in which we have provided the most important Algebra questions for RRB NTPC.<\/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=14974\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Attempt Free Algebra 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\">Why is Algebra Important for RRB NTPC?<\/h2>\n\n\n\n<p>In both CBT-1 and CBT-2, Advanced Math plays a huge role, and Algebra is a major part of it.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>High Weightage:<\/strong> You can expect <strong>2 to 3 questions<\/strong> in CBT-1 and around <strong>3 to 4 questions<\/strong> in CBT-2.<\/li>\n\n\n\n<li><strong>Time Saver:<\/strong> Algebra questions often use short tricks. If you know the trick for x + 1\/x, you can solve it in 5 seconds while others are still calculating.<\/li>\n\n\n\n<li><strong>Accuracy:<\/strong> There is no ambiguity. If your formula is right, your answer is right.<\/li>\n<\/ul>\n\n\n\n<p><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Important Formulas You Must Remember<\/h3>\n\n\n\n<p>You don&#8217;t need to study the whole book. RRB mostly asks questions from these specific areas:<\/p>\n\n\n\n<ol start=\"1\" class=\"wp-block-list\">\n<li><strong>Cubic Identities:<\/strong> (a+b)^3 and a^3 + b^3. RRB mostly asks questions where these identities are used most.<\/li>\n\n\n\n<li><strong>The &#8220;Zero&#8221; Condition:<\/strong> If a+b+c = 0, then a^3+b^3+c^3 = 3abc.<\/li>\n\n\n\n<li><strong>Polynomials:<\/strong> Finding roots of a quadratic equation (ax^2 + bx + c = 0).<\/li>\n<\/ol>\n\n\n\n<p><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Download Free PDF of Algebra Questions for RRB NTPC<\/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 RRB NTPC\u2014tricky but logical. Download it, save it, and practice these questions to remove your fear of variables.<\/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%252Falgebra-questions-for-rrb-ntpc.pdf&amp;ref=14974\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Download Free PDF of Algebra Questions for RRB NTPC<\/strong><\/a><\/div>\n<\/div>\n\n\n\n<p><\/p>\n\n\n\n<p>Q1. If x + 1\/x = 5, find the value of x^3 + 1\/x^3.<\/p>\n\n\n\n<p>(a) 125<br>(b) 110<br>(c) 115<br>(d) 140<\/p>\n\n\n\n<p>Answer: (b) 110<br>Logic: Formula is k^3 \u2212 3k. Here k = 5.<br>5^3 \u2212 3(5) = 125 \u2212 15 = 110.<\/p>\n\n\n\n<p>Q2. If a + b + c = 0, find the value of a^2\/bc + b^2\/ca + c^2\/ab.<\/p>\n\n\n\n<p>(a) 0<br>(b) 1<br>(c) 3<br>(d) \u22121<\/p>\n\n\n\n<p>Answer: (c) 3<br>Logic: Taking LCM as abc, the numerator becomes a^3 + b^3 + c^3.<br>Since a + b + c = 0, a^3 + b^3 + c^3 = 3abc.<br>So value = 3abc \/ abc = 3.<\/p>\n\n\n\n<p>Q3. If x = 7 \u2212 4\u221a3, find the value of x + 1\/x.<\/p>\n\n\n\n<p>(a) 14<br>(b) 8<br>(c) 8\u221a3<br>(d) 7<\/p>\n\n\n\n<p>Answer: (a) 14<br>Logic: 1\/x = 7 + 4\u221a3 (conjugate).<br>Adding: (7 \u2212 4\u221a3) + (7 + 4\u221a3) = 14.<\/p>\n\n\n\n<p>Q4. Find the roots of the quadratic equation x^2 \u2212 7x + 12 = 0.<\/p>\n\n\n\n<p>(a) 3, 4<br>(b) \u22123, \u22124<br>(c) 2, 5<br>(d) 6, 1<\/p>\n\n\n\n<p>Answer: (a) 3, 4<br>Logic: Numbers multiplying to 12 and adding to \u22127 are \u22123 and \u22124.<br>Roots are x = 3 and x = 4.<\/p>\n\n\n\n<p>Q5. If a^2 + b^2 + 1\/a^2 + 1\/b^2 = 4, find the value of a^2 + b^2.<\/p>\n\n\n\n<p>(a) 1<br>(b) 2<br>(c) 4<br>(d) 0<\/p>\n\n\n\n<p>Answer: (b) 2<br>Logic: This is possible only when a^2 = 1 and b^2 = 1.<br>So a^2 + b^2 = 1 + 1 = 2.<\/p>\n\n\n\n<p>Q6. If x\/y = 3\/4, find the value of (2x + 3y) \/ (3y \u2212 2x).<\/p>\n\n\n\n<p>(a) 3<br>(b) 2<br>(c) 1<br>(d) 4<\/p>\n\n\n\n<p>Answer: (a) 3<br>Logic: Take x = 3 and y = 4.<br>Numerator = 2(3) + 3(4) = 18<br>Denominator = 3(4) \u2212 2(3) = 6<br>Value = 18\/6 = 3.<\/p>\n\n\n\n<p>Q7. If x + y = 4 and x \u2212 y = 2, find the value of x^2 \u2212 y^2.<\/p>\n\n\n\n<p>(a) 6<br>(b) 8<br>(c) 12<br>(d) 16<\/p>\n\n\n\n<p>Answer: (b) 8<br>Logic: x^2 \u2212 y^2 = (x + y)(x \u2212 y)<br>= 4 \u00d7 2 = 8.<\/p>\n\n\n\n<p>Q8. If (x \u2212 3)^2 + (y \u2212 5)^2 + (z \u2212 4)^2 = 0, find (x + y) \/ z.<\/p>\n\n\n\n<p>(a) 1<br>(b) 2<br>(c) 3<br>(d) 4<\/p>\n\n\n\n<p>Answer: (b) 2<br>Logic: Each square must be zero.<br>x = 3, y = 5, z = 4<br>(x + y)\/z = 8\/4 = 2.<\/p>\n\n\n\n<p>Q9. If x + 1\/x = 2, find x^17 + 1\/x^19.<\/p>\n\n\n\n<p>(a) 2<br>(b) 0<br>(c) 1<br>(d) \u22122<\/p>\n\n\n\n<p>Answer: (a) 2<br>Logic: x + 1\/x = 2 implies x = 1.<br>1^17 + 1\/1^19 = 2.<\/p>\n\n\n\n<p>Q10. The factors of x^2 + x \u2212 20 are:<\/p>\n\n\n\n<p>(a) (x + 5)(x \u2212 4)<br>(b) (x \u2212 5)(x + 4)<br>(c) (x + 2)(x \u2212 10)<br>(d) (x \u2212 2)(x + 10)<\/p>\n\n\n\n<p>Answer: (a) (x + 5)(x \u2212 4)<br>Logic: Numbers multiplying to \u221220 and adding to +1 are +5 and \u22124.<\/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%252Falgebra-questions-for-rrb-ntpc.pdf&amp;ref=14974\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Download Free PDF of Algebra Questions for RRB NTPC<\/strong><\/a><\/div>\n<\/div>\n\n\n\n<p><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">How to Prepare for Algebra Easily?<\/h2>\n\n\n\n<p>Don&#8217;t calculate everything. Use smart tricks to save time.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Value Putting Method:<\/strong> This is the best trick for RRB NTPC. If a question has variables (a, b, c) and options are numbers, just assume a=1, b=1, c=1 (or other small numbers) and solve. It works 90% of the time!<\/li>\n\n\n\n<li><strong>Memorize Cubes:<\/strong> Learn cubes up to 15. It helps in solving a^3+b^3 questions quickly.<\/li>\n\n\n\n<li><strong>Use Options:<\/strong> For finding roots of quadratic equations, don&#8217;t solve the equation. Just put the option values in the equation to see which one makes it zero.<\/li>\n\n\n\n<li><strong>Attempt Topic Tests:<\/strong> Reading formulas is not enough. You must apply them. Attempt 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=14974\" target=\"_blank\" rel=\"noreferrer noopener\">Free Topic Tests<\/a><\/strong> to increase your speed and accuracy.<\/li>\n<\/ul>\n\n\n\n<p><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">FAQs: Algebra 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-1766570212433\"><strong class=\"schema-faq-question\">Is Algebra difficult in RRB NTPC?<\/strong> <p class=\"schema-faq-answer\">No. It is formula-based. If you know the basic identities like (a+b)^3, you can solve it easily.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1766570228440\"><strong class=\"schema-faq-question\">How many questions come from this topic?<\/strong> <p class=\"schema-faq-answer\">You can consistently expect 2 to 3 questions in CBT-1 and slightly more in CBT-2.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1766570238016\"><strong class=\"schema-faq-question\">What is the &#8220;Value Putting&#8221; method?<\/strong> <p class=\"schema-faq-answer\">It is a shortcut where you replace variables (x, y, z) with simple numbers (like 0 or 1) to find the answer without solving the full equation.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1766570254352\"><strong class=\"schema-faq-question\">Where can I download the free PDF?<\/strong> <p class=\"schema-faq-answer\">You can download the free, exam-level PDF by clicking the link provided in the middle of this blog post.<\/p> <\/div> <\/div>\n","protected":false},"excerpt":{"rendered":"<p>Click to download free PDF of exam-level Algebra Questions for RRB NTPC. Practice these questions and boost your preparation level.<\/p>\n","protected":false},"author":25,"featured_media":191051,"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-191049","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>Algebra Questions for RRB NTPC: Download Free PDF<\/title>\n<meta name=\"description\" content=\"Click to download free PDF of exam-level Algebra Questions for RRB NTPC. 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Practice these questions and boost your preparation level.","og_url":"https:\/\/www.practicemock.com\/blog\/algebra-questions-for-rrb-ntpc\/","og_site_name":"Practicemock","article_published_time":"2025-12-28T17:10:00+00:00","og_image":[{"width":1200,"height":675,"url":"https:\/\/www.practicemock.com\/blog\/wp-content\/uploads\/2025\/12\/Algebra-Questions-for-RRB-NTPC-Download-Free-PDF-Practice-Now.png","type":"image\/png"}],"author":"Abhishek Jatariya","twitter_card":"summary_large_image","twitter_misc":{"Written by":"Abhishek Jatariya","Est. reading time":"5 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":["WebPage","FAQPage"],"@id":"https:\/\/www.practicemock.com\/blog\/algebra-questions-for-rrb-ntpc\/","url":"https:\/\/www.practicemock.com\/blog\/algebra-questions-for-rrb-ntpc\/","name":"Algebra Questions for RRB NTPC: Download Free PDF","isPartOf":{"@id":"https:\/\/www.practicemock.com\/blog\/#website"},"primaryImageOfPage":{"@id":"https:\/\/www.practicemock.com\/blog\/algebra-questions-for-rrb-ntpc\/#primaryimage"},"image":{"@id":"https:\/\/www.practicemock.com\/blog\/algebra-questions-for-rrb-ntpc\/#primaryimage"},"thumbnailUrl":"https:\/\/www.practicemock.com\/blog\/wp-content\/uploads\/2025\/12\/Algebra-Questions-for-RRB-NTPC-Download-Free-PDF-Practice-Now.png","datePublished":"2025-12-28T17:10:00+00:00","author":{"@id":"https:\/\/www.practicemock.com\/blog\/#\/schema\/person\/c31174d4112cf4e827e441653855a4df"},"description":"Click to download free PDF of exam-level Algebra Questions for RRB NTPC. 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At PracticeMock I am a dedicated Government Job aspirant turned passionate Content writer &amp; Content creator. My blogs are a one-stop destination for accurate and comprehensive information on exams like SSC, Railways, and Other PSU Jobs. I am on a mission to provide you with all the details about these exams you need, conveniently in one place. I hope you will like my writing.","sameAs":["https:\/\/www.practicemock.com\/blog\/"],"url":"https:\/\/www.practicemock.com\/blog\/author\/abhishek-jatariya\/"},{"@type":"Question","@id":"https:\/\/www.practicemock.com\/blog\/algebra-questions-for-rrb-ntpc\/#faq-question-1766570212433","position":1,"url":"https:\/\/www.practicemock.com\/blog\/algebra-questions-for-rrb-ntpc\/#faq-question-1766570212433","name":"Is Algebra difficult in RRB NTPC?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"No. It is formula-based. 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