{"id":86950,"date":"2025-08-06T16:19:09","date_gmt":"2025-08-06T10:49:09","guid":{"rendered":"https:\/\/www.oliveboard.in\/blog\/?p=86950"},"modified":"2025-08-06T16:19:10","modified_gmt":"2025-08-06T10:49:10","slug":"inequality-questions","status":"publish","type":"post","link":"https:\/\/www.oliveboard.in\/blog\/inequality-questions\/","title":{"rendered":"Inequality Formulas, Concepts, Short Tricks and Tips"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_77 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of content<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><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><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-toggle-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.oliveboard.in\/blog\/inequality-questions\/#What_Is_Inequalities_in_Reasoning\" >What Is Inequalities in Reasoning?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.oliveboard.in\/blog\/inequality-questions\/#Why_Is_Inequalities_Important_in_Competitive_Exams\" >Why Is Inequalities Important in Competitive Exams?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.oliveboard.in\/blog\/inequality-questions\/#Uses_of_Symbols_in_Inequalities_Questions\" >Uses of Symbols in Inequalities Questions<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.oliveboard.in\/blog\/inequality-questions\/#Concepts_Used_in_Inequalities\" >Concepts Used in Inequalities<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.oliveboard.in\/blog\/inequality-questions\/#What_Are_the_Types_of_Inequalities_Questions_in_Reasoning\" >What Are the Types of Inequalities Questions in Reasoning?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.oliveboard.in\/blog\/inequality-questions\/#Inequalities_Formulas\" >Inequalities Formulas<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.oliveboard.in\/blog\/inequality-questions\/#Inequalities_Tricks_for_SSC_CGL_and_Other_Exams\" >Inequalities Tricks for SSC CGL and Other Exams<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.oliveboard.in\/blog\/inequality-questions\/#Solved_Inequalities_Questions_from_2024%E2%80%9325_Exams\" >Solved Inequalities Questions from 2024\u201325 Exams<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/www.oliveboard.in\/blog\/inequality-questions\/#Inequalities_Concepts_for_Bank_Exams\" >Inequalities Concepts for Bank Exams<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/www.oliveboard.in\/blog\/inequality-questions\/#Common_Mistakes_to_Avoid_while_Solving_Inequality\" >Common Mistakes to Avoid while Solving Inequality<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/www.oliveboard.in\/blog\/inequality-questions\/#FAQs\" >FAQs<\/a><\/li><\/ul><\/nav><\/div>\n\n<p>Inequalities is a scoring and relatively simple topic in reasoning that frequently appears in major competitive exams like SSC, Banking, RRB, and State-level tests. In this blog, we have provided all the details from Inequality concepts and tricks to formulas and solved questions on Inequalities in reasoning from the 2024\u201325 exams.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"What_Is_Inequalities_in_Reasoning\"><\/span>What Is Inequalities in Reasoning?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>In reasoning, <strong>Inequalities<\/strong> are statements that compare two elements using signs like &gt;, &lt;, \u2265, \u2264, and =. The task is to deduce the correct relation between two elements based on given statements.<\/p>\n\n\n\n<p>These questions test your <strong>logical analysis, statement chaining, and decoding<\/strong> skills. Candidates are expected to apply transitive logic to deduce the answer quickly.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Why_Is_Inequalities_Important_in_Competitive_Exams\"><\/span>Why Is Inequalities Important in Competitive Exams?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Inequalities often come as one of the first few questions in reasoning sections because they\u2019re fast to solve and easy to score. The questions are usually symbol-based and test your understanding of logical comparison.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>Exam<\/strong><\/td><td><strong>No. of Questions<\/strong><\/td><td><strong>Difficulty<\/strong><\/td><\/tr><tr><td>SSC CGL \/ CHSL<\/td><td>1\u20132<\/td><td>Easy<\/td><\/tr><tr><td>IBPS PO \/ SBI PO<\/td><td>3-4<\/td><td>Moderate<\/td><\/tr><tr><td>RRB NTPC \/ Group D<\/td><td>1<\/td><td>Easy<\/td><\/tr><tr><td>State PSC \/ Police<\/td><td>1\u20132<\/td><td>Moderate<\/td><\/tr><\/tbody><\/table><\/figure>\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\" href=\"https:\/\/www.oliveboard.in\/ibps-po-mock-test\/?ref=contac-acb\" target=\"_blank\" rel=\"noreferrer noopener\">Attempt A Free IBPS PO Mock Test<\/a><\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Uses_of_Symbols_in_Inequalities_Questions\"><\/span>Uses of Symbols in Inequalities Questions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>There are various types of symbols used in inequalities. The details of the symbols used in inequalities questions are as follows:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>Symbol<\/strong><\/td><td><strong>Meaning<\/strong><\/td><td><strong>Example<\/strong><\/td><\/tr><tr><td>&gt;<\/td><td>Greater than<\/td><td>A &gt; B means A is greater than B<\/td><\/tr><tr><td>&lt;<\/td><td>Less than<\/td><td>A &lt; B means A is less than B<\/td><\/tr><tr><td>\u2265<\/td><td>Greater than or equal<\/td><td>A \u2265 B means A is either greater or equal to B<\/td><\/tr><tr><td>\u2264<\/td><td>Less than or equal<\/td><td>A \u2264 B means A is either less or equal to B<\/td><\/tr><tr><td>=<\/td><td>Equal to<\/td><td>A = B means A and B are equal<\/td><\/tr><tr><td>\u2260<\/td><td>Not equal to<\/td><td>A \u2260 B means A and B are not equal<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Concepts_Used_in_Inequalities\"><\/span>Concepts Used in Inequalities<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>There are various concepts used in inequalities questions. The details of the concepts used are as follows:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>Concept<\/strong><\/td><td><strong>Details<\/strong><\/td><\/tr><tr><td>Basic Symbols<\/td><td>&gt;, &lt;, \u2265, \u2264, =, \u2260<\/td><\/tr><tr><td>Opposite Relations<\/td><td>A &gt; B \u2192 B &lt; A<\/td><\/tr><tr><td>Transitive Logic<\/td><td>If A &gt; B and B &gt; C \u2192 A &gt; C<\/td><\/tr><tr><td>Either-Or Case<\/td><td>When two conclusions are possible but only one is true<\/td><\/tr><tr><td>Coded Inequalities<\/td><td>Symbols are replaced with @, #, $, etc.<\/td><\/tr><tr><td>Definite vs Indefinite<\/td><td>Only statements with complete chain yield a definite answer<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"What_Are_the_Types_of_Inequalities_Questions_in_Reasoning\"><\/span>What Are the Types of Inequalities Questions in Reasoning?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Inequalities questions appear in different formats across exams. Here&#8217;s a breakdown of the most common types:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><strong>Direct Inequality Statements<\/strong> \u2013 Straightforward comparison.<\/li><li><strong>Coded Inequality<\/strong> \u2013 Symbols like @, # used instead of &gt;, &lt;.<\/li><li><strong>Puzzle-Based Inequalities<\/strong> \u2013 Logic puzzle with multiple relations.<\/li><li><strong>Mixed Concept<\/strong> \u2013 Inequality embedded with direction sense or syllogism logic.<\/li><\/ul>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Inequalities_Formulas\"><\/span>Inequalities Formulas<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>The formulas used to solve inequalities reasoning questions are as follows:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>If A &gt; B and B &gt; C \u21d2 A &gt; C<\/li><li>If A \u2265 B and B &gt; C \u21d2 A &gt; C<\/li><li>If A \u2265 B and B \u2265 C \u21d2 A \u2265 C<\/li><li>If A = B and B = C \u21d2 A = C<\/li><li>A \u2265 B and B \u2264 A \u21d2 A = B<\/li><\/ul>\n\n\n\n<p>Use <strong>chain-building logic<\/strong> and <strong>elimination<\/strong> to arrive at correct conclusions quickly.<\/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\" href=\"https:\/\/www.oliveboard.in\/sbi-po-mock-test\/?ref=contac-acb\" target=\"_blank\" rel=\"noreferrer noopener\">Attempt A Free SBI PO Mock Test<\/a><\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Inequalities_Tricks_for_SSC_CGL_and_Other_Exams\"><\/span>Inequalities Tricks for SSC CGL and Other Exams<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Here are some proven strategies to solve inequality questions efficiently:<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li><strong>Draw chain diagrams<\/strong> to visualize relations.<\/li><li><strong>Start from individual statements<\/strong>, not conclusions.<\/li><li><strong>Combine statements logically<\/strong>, don\u2019t jump to conclusions.<\/li><li><strong>Reverse symbols<\/strong> when flipping comparisons (A &gt; B \u21d2 B &lt; A).<\/li><li><strong>For coded inequalities<\/strong>, decode each symbol first before solving.<\/li><li><strong>Eliminate wrong options<\/strong> using contradiction tests.<\/li><li><strong>Use &#8220;either-or&#8221; logic<\/strong> only when conclusions are mutually exclusive.<\/li><\/ol>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Solved_Inequalities_Questions_from_2024%E2%80%9325_Exams\"><\/span>Solved Inequalities Questions from 2024\u201325 Exams<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Memory-based questions from recent exams:<\/p>\n\n\n\n<p><strong>Q1.<\/strong> (SSC CGL 2024 Tier 1 Shift 2 \u2013 Memory-Based)<br>Statements: A &gt; B = C \u2265 D<br>Conclusion: A &gt; D<br><strong>Answer:<\/strong> True<br><strong>Explanation:<\/strong> A &gt; B = C \u2265 D \u21d2 A &gt; D<\/p>\n\n\n\n<p><strong>Q2.<\/strong> (IBPS PO Prelims 2024 &#8211; Memory Based)<br>Statements: P \u2265 Q > R, R = S<br>Conclusion: P > S<br><strong>Answer:<\/strong> True<br><strong>Explanation:<\/strong> Q > R = S \u21d2 Q > S \u21d2 P \u2265 Q > S \u21d2 P > S<\/p>\n\n\n\n<p><strong>Q3.<\/strong> (Memory Based Test)<br>Statements: M &lt; N \u2264 O, O > P<br>Conclusion: M &lt; P<br><strong>Answer:<\/strong> Cannot be determined<br><strong>Explanation:<\/strong> M &lt; N \u2264 O and O > P \u21d2 No direct relation between M and P<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Inequalities_Concepts_for_Bank_Exams\"><\/span>Inequalities Concepts for Bank Exams<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Bank exams like IBPS PO, SBI Clerk often frame <strong>coded inequality questions<\/strong> with symbols like:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>@ \u2192 greater than<\/li><li>\u2192 equal to<\/li><li>$ \u2192 less than<\/li><li>% \u2192 greater than or equal to<\/li><\/ul>\n\n\n\n<p><strong>Example:<\/strong><br>If A @ B means A &gt; B, B # C means B = C<br>Then: What is the relation between A and C?<\/p>\n\n\n\n<p>\u2192 Decode first: A > B = C \u21d2 A > C<\/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\" href=\"https:\/\/www.oliveboard.in\/ssc-cgl-mock-test\/?ref=contac-acb\" target=\"_blank\" rel=\"noreferrer noopener\">Attempt A Free SSC CGL Mock Test<\/a><\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Common_Mistakes_to_Avoid_while_Solving_Inequality\"><\/span>Common Mistakes to Avoid while Solving Inequality<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>While solving Inequality reasoning questions, candidates must keep these in mind:<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>Not reversing the symbol when flipping statements.<\/li><li>Assuming conclusions without full chain logic.<\/li><li>Skipping decoding in coded questions.<\/li><li>Treating &#8220;\u2265&#8221; and &#8220;>&#8221; as the same \u2013 they are not.<\/li><li>Failing to check for &#8220;either-or&#8221; cases properly.<\/li><\/ol>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"FAQs\"><\/span>FAQs<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<div class=\"schema-faq wp-block-yoast-faq-block\"><div class=\"schema-faq-section\" id=\"faq-question-1754477236247\"><strong class=\"schema-faq-question\">Q1. What are the five basic inequality symbols used in reasoning?<\/strong> <p class=\"schema-faq-answer\">Greater than (>), less than (&lt;), equal to (=), greater than or equal to (\u2265), less than or equal to (\u2264).<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1754477256168\"><strong class=\"schema-faq-question\">Q2. How to identify the correct conclusion from multiple inequality statements?<\/strong> <p class=\"schema-faq-answer\">Combine the statements logically to form a chain between the target elements.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1754477273770\"><strong class=\"schema-faq-question\">Q3. What does a coded inequality question mean?<\/strong> <p class=\"schema-faq-answer\">It uses special symbols like @, #, $, % in place of standard inequality signs.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1754477289362\"><strong class=\"schema-faq-question\">Q4. What is transitive logic in inequalities?<\/strong> <p class=\"schema-faq-answer\">If A > B and B > C, then A > C \u2014 this is called transitive property.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1754477308852\"><strong class=\"schema-faq-question\">Q5. Can inequality questions be puzzle-based?<\/strong> <p class=\"schema-faq-answer\">Yes, sometimes combined with direction, blood relation, or seating logic.<\/p> <\/div> <\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n<ul class=\"wp-block-latest-posts__list is-grid columns-3 wp-block-latest-posts\"><li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/rrb-ntpc-pyps\/\">RRB NTPC 2025 Question Papers, Shift-Wise PYPs, Download PDFs<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/ssc-chsl-reasoning-questions\/\">SSC CHSL Reasoning Questions, Download PDF &amp; Attempt Live Quiz<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/ssc-stenographer-english-questions\/\">SSC Stenographer English Questions, Attempt Live Quiz<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/ssc-cgl-english-questions\/\">SSC CGL English Questions with Answers, Download Free PDF<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/ssc-chsl-full-form\/\">SSC CHSL Full Form, All you need to know about SSC CHSL Exam<\/a><\/li>\n<li><a class=\"wp-block-latest-posts__post-title\" href=\"https:\/\/www.oliveboard.in\/blog\/surds-and-indices\/\">Surds and Indices Question Types, Formulas, and Short Tricks<\/a><\/li>\n<\/ul>","protected":false},"excerpt":{"rendered":"<p>Inequalities is a scoring and relatively simple topic in reasoning that frequently appears in major competitive exams like SSC, Banking,<\/p>\n","protected":false},"author":60,"featured_media":223747,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[31,65,10231],"tags":[],"class_list":["post-86950","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-bank-exams","category-ibps-po","category-ssc-railways","generate-columns","tablet-grid-50","mobile-grid-100","grid-parent","grid-50"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v26.6 (Yoast SEO v26.6) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Inequality Formulas, Concepts, Short Tricks and Tips<\/title>\n<meta name=\"description\" content=\"Inequality is one of the most important topics for all exams. 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