{"id":473,"date":"2026-09-13T07:00:17","date_gmt":"2026-09-13T01:30:17","guid":{"rendered":"https:\/\/superpahal.com\/blog\/?p=473"},"modified":"2026-08-28T18:17:06","modified_gmt":"2026-08-28T12:47:06","slug":"ssc-cgl-simplification-approximation-tricks","status":"publish","type":"post","link":"https:\/\/superpahal.com\/blog\/ssc-cgl-simplification-approximation-tricks\/","title":{"rendered":"Simplification &#038; Approximation Tricks for SSC CGL: The BODMAS Speed Method (2026)"},"content":{"rendered":"<p style=\"font-size:15px;\">\ud83d\udc49 Want to test your calculation speed under the real 15-minute sectional clock? <a href=\"https:\/\/superpahal.com\/academy\/event\/ssc-cgl-2025-free-mock-test-sectional\">Take a free SSC CGL sectional mock test \u2192<\/a><\/p>\n<div class=\"sp-post\">\n<p><em>Updated: September 2026 \u00b7 Based on SSC CGL PYQ analysis (2016\u20132025)<\/em><\/p>\n<p>Simplification looks like a long, scary calculation \u2014 but it&#8217;s actually the fastest, safest scoring topic in the Quant section, <em>if<\/em> you do two things: follow BODMAS in the exact right order, and switch on an &#8220;approximation mindset&#8221; so you stop calculating things the answer options don&#8217;t even need. Master those two, plus a short list of values worth memorising, and simplification becomes near-guaranteed marks in seconds each.<\/p>\n<div class=\"sp-answer-box\">\n<p><strong>Quick answer:<\/strong> Solve every simplification by applying <strong>BODMAS \/ VBODMAS<\/strong> \u2014 Vinculum, Brackets, Of, Division, Multiplication, Addition, Subtraction \u2014 remembering that Division and Multiplication are done left-to-right, as are Addition and Subtraction. For <strong>approximation<\/strong> questions, round every number to the nearest easy value first (49.8 \u2192 50, 24.9% \u2192 25%); the options are spaced far enough apart that the rounded answer is correct. Memorising squares, cubes and fraction-to-percentage values makes the whole topic almost instant.<\/p>\n<\/div>\n<div class=\"sp-note\">\n<p><strong>On this page:<\/strong><\/p>\n<ul>\n<li><a href=\"#bodmas\">The BODMAS \/ VBODMAS rule<\/a><\/li>\n<li><a href=\"#traps\">The BODMAS traps SSC uses<\/a><\/li>\n<li><a href=\"#approx\">The approximation mindset<\/a><\/li>\n<li><a href=\"#memorise\">Values worth memorising (your speed table)<\/a><\/li>\n<li><a href=\"#examples\">Solved examples<\/a><\/li>\n<li><a href=\"#speed\">Speed rules<\/a><\/li>\n<li><a href=\"#mistakes\">Common mistakes that cost marks<\/a><\/li>\n<li><a href=\"#practice\">Practice mini-set (self-test)<\/a><\/li>\n<li><a href=\"#faq\">FAQs<\/a><\/li>\n<\/ul>\n<\/div>\n<h2 id=\"bodmas\">The BODMAS \/ VBODMAS rule<\/h2>\n<p>Every simplification is decided by the order in which you perform the operations. Learn this sequence and never break it:<\/p>\n<table style=\"width:100%;border-collapse:collapse;\" border=\"1\">\n<thead>\n<tr>\n<th style=\"background-color:#fffb00; padding:8px;\">Order<\/th>\n<th style=\"background-color:#fffb00; padding:8px;\">Operation<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td style=\"padding:8px;\"><strong>V<\/strong><\/td>\n<td style=\"padding:8px;\">Vinculum (bar\/line) \u2014 solve first<\/td>\n<\/tr>\n<tr>\n<td style=\"padding:8px;\"><strong>B<\/strong><\/td>\n<td style=\"padding:8px;\">Brackets \u2014 in the order ( ) \u2192 { } \u2192 [ ]<\/td>\n<\/tr>\n<tr>\n<td style=\"padding:8px;\"><strong>O<\/strong><\/td>\n<td style=\"padding:8px;\">Of (means multiply, given priority)<\/td>\n<\/tr>\n<tr>\n<td style=\"padding:8px;\"><strong>D<\/strong><\/td>\n<td style=\"padding:8px;\">Division<\/td>\n<\/tr>\n<tr>\n<td style=\"padding:8px;\"><strong>M<\/strong><\/td>\n<td style=\"padding:8px;\">Multiplication<\/td>\n<\/tr>\n<tr>\n<td style=\"padding:8px;\"><strong>A<\/strong><\/td>\n<td style=\"padding:8px;\">Addition<\/td>\n<\/tr>\n<tr>\n<td style=\"padding:8px;\"><strong>S<\/strong><\/td>\n<td style=\"padding:8px;\">Subtraction<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div class=\"sp-note\" style=\"background:#eef6ff;border-left:5px solid #2a6fdb;\">\n<p><strong>The rule everyone forgets:<\/strong> Division and Multiplication sit at the <em>same<\/em> level, so do them <strong>left to right<\/strong> as they appear \u2014 not all divisions first. The same goes for Addition and Subtraction.<\/p>\n<\/div>\n<p><strong>Example:<\/strong> 12 + 6 \u00f7 2 \u00d7 3 \u2212 4 = 12 + (6 \u00f7 2) \u00d7 3 \u2212 4 = 12 + 3 \u00d7 3 \u2212 4 = 12 + 9 \u2212 4 = <strong>17<\/strong>.<\/p>\n<h2 id=\"traps\">The BODMAS traps SSC uses<\/h2>\n<div class=\"sp-mistake\">\n<ul>\n<li><strong>Doing all divisions before multiplications.<\/strong> They&#8217;re equal \u2014 go strictly left to right.<\/li>\n<li><strong>Mishandling &#8220;of&#8221;.<\/strong> &#8220;1\/2 of 80&#8221; means 1\/2 \u00d7 80 = 40, done before ordinary division.<\/li>\n<li><strong>Sign slips with brackets.<\/strong> A minus sign before a bracket flips every sign inside: 10 \u2212 (3 \u2212 5) = 10 \u2212 (\u22122) = 12.<\/li>\n<li><strong>Skipping the innermost bracket.<\/strong> Always resolve ( ) before { } before [ ].<\/li>\n<\/ul>\n<\/div>\n<h2 id=\"approx\">The approximation mindset<\/h2>\n<p>Approximation questions are a gift \u2014 they <em>tell<\/em> you not to calculate exactly. The trick is to round every number to the nearest easy value before doing anything, because the answer options are spaced far apart, so the rounded result still lands on the right one.<\/p>\n<ul>\n<li><strong>Round decimals to whole numbers:<\/strong> 49.8 \u00d7 20.2 \u2248 50 \u00d7 20 = 1000.<\/li>\n<li><strong>Round percentages:<\/strong> 24.9% of 1599 \u2248 25% of 1600 = 400.<\/li>\n<li><strong>Round to nearest perfect square\/cube:<\/strong> \u221a624 \u2248 \u221a625 = 25.<\/li>\n<\/ul>\n<div class=\"sp-note\" style=\"background:#fef3e8;border-left:5px solid #f4811f;\">\n<p><strong>When NOT to approximate:<\/strong> if the question says &#8220;simplify&#8221; or &#8220;find the exact value,&#8221; or if two options are very close together, do the exact calculation. Approximation is only for questions that ask for the approximate value.<\/p>\n<\/div>\n<h2 id=\"memorise\">Values worth memorising (your speed table)<\/h2>\n<p>Most of your time is lost re-deriving basic values. Memorise these once and simplification speeds up dramatically.<\/p>\n<p><strong>Squares (11\u201330):<\/strong><\/p>\n<div class=\"sp-table-wrap\">\n<table style=\"width:100%;border-collapse:collapse;\" border=\"1\">\n<thead>\n<tr>\n<th style=\"background-color:#fffb00; padding:8px;\">n<\/th>\n<th style=\"background-color:#fffb00; padding:8px;\">n\u00b2<\/th>\n<th style=\"background-color:#fffb00; padding:8px;\">n<\/th>\n<th style=\"background-color:#fffb00; padding:8px;\">n\u00b2<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>11<\/td>\n<td>121<\/td>\n<td>21<\/td>\n<td>441<\/td>\n<\/tr>\n<tr>\n<td>12<\/td>\n<td>144<\/td>\n<td>22<\/td>\n<td>484<\/td>\n<\/tr>\n<tr>\n<td>13<\/td>\n<td>169<\/td>\n<td>23<\/td>\n<td>529<\/td>\n<\/tr>\n<tr>\n<td>14<\/td>\n<td>196<\/td>\n<td>24<\/td>\n<td>576<\/td>\n<\/tr>\n<tr>\n<td>15<\/td>\n<td>225<\/td>\n<td>25<\/td>\n<td>625<\/td>\n<\/tr>\n<tr>\n<td>16<\/td>\n<td>256<\/td>\n<td>26<\/td>\n<td>676<\/td>\n<\/tr>\n<tr>\n<td>17<\/td>\n<td>289<\/td>\n<td>27<\/td>\n<td>729<\/td>\n<\/tr>\n<tr>\n<td>18<\/td>\n<td>324<\/td>\n<td>28<\/td>\n<td>784<\/td>\n<\/tr>\n<tr>\n<td>19<\/td>\n<td>361<\/td>\n<td>29<\/td>\n<td>841<\/td>\n<\/tr>\n<tr>\n<td>20<\/td>\n<td>400<\/td>\n<td>30<\/td>\n<td>900<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p><strong>Cubes (1\u201312):<\/strong><\/p>\n<div class=\"sp-table-wrap\">\n<table style=\"width:100%;border-collapse:collapse;\" border=\"1\">\n<thead>\n<tr>\n<th style=\"background-color:#fffb00; padding:8px;\">n<\/th>\n<th style=\"background-color:#fffb00; padding:8px;\">n\u00b3<\/th>\n<th style=\"background-color:#fffb00; padding:8px;\">n<\/th>\n<th style=\"background-color:#fffb00; padding:8px;\">n\u00b3<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>1<\/td>\n<td>1<\/td>\n<td>7<\/td>\n<td>343<\/td>\n<\/tr>\n<tr>\n<td>2<\/td>\n<td>8<\/td>\n<td>8<\/td>\n<td>512<\/td>\n<\/tr>\n<tr>\n<td>3<\/td>\n<td>27<\/td>\n<td>9<\/td>\n<td>729<\/td>\n<\/tr>\n<tr>\n<td>4<\/td>\n<td>64<\/td>\n<td>10<\/td>\n<td>1000<\/td>\n<\/tr>\n<tr>\n<td>5<\/td>\n<td>125<\/td>\n<td>11<\/td>\n<td>1331<\/td>\n<\/tr>\n<tr>\n<td>6<\/td>\n<td>216<\/td>\n<td>12<\/td>\n<td>1728<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p><strong>Fraction \u2194 percentage (the biggest time-saver):<\/strong><\/p>\n<div class=\"sp-table-wrap\">\n<table style=\"width:100%;border-collapse:collapse;\" border=\"1\">\n<thead>\n<tr>\n<th style=\"background-color:#fffb00; padding:8px;\">Fraction<\/th>\n<th style=\"background-color:#fffb00; padding:8px;\">%<\/th>\n<th style=\"background-color:#fffb00; padding:8px;\">Fraction<\/th>\n<th style=\"background-color:#fffb00; padding:8px;\">%<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>1\/2<\/td>\n<td>50%<\/td>\n<td>1\/9<\/td>\n<td>11.11%<\/td>\n<\/tr>\n<tr>\n<td>1\/3<\/td>\n<td>33.33%<\/td>\n<td>1\/10<\/td>\n<td>10%<\/td>\n<\/tr>\n<tr>\n<td>1\/4<\/td>\n<td>25%<\/td>\n<td>1\/11<\/td>\n<td>9.09%<\/td>\n<\/tr>\n<tr>\n<td>1\/5<\/td>\n<td>20%<\/td>\n<td>1\/12<\/td>\n<td>8.33%<\/td>\n<\/tr>\n<tr>\n<td>1\/6<\/td>\n<td>16.67%<\/td>\n<td>1\/15<\/td>\n<td>6.67%<\/td>\n<\/tr>\n<tr>\n<td>1\/7<\/td>\n<td>14.28%<\/td>\n<td>1\/16<\/td>\n<td>6.25%<\/td>\n<\/tr>\n<tr>\n<td>1\/8<\/td>\n<td>12.5%<\/td>\n<td>1\/20<\/td>\n<td>5%<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p>These conversions turn awkward percentages into easy fractions instantly \u2014 for example, 12.5% of 640 is just 1\/8 \u00d7 640 = 80, with no long working.<\/p>\n<h2 id=\"examples\">Solved examples<\/h2>\n<p><strong>1. Nested brackets:<\/strong> 8 + [ (4 \u00d7 5) \u2212 { 6 \u00f7 (1 + 2) } ]<br \/>\n= 8 + [ 20 \u2212 { 6 \u00f7 3 } ] = 8 + [ 20 \u2212 2 ] = 8 + 18 = <strong>26<\/strong>.<\/p>\n<p><strong>2. Fractions:<\/strong> 2\/3 + 3\/4 \u2212 1\/6 \u2192 LCM = 12 \u2192 8\/12 + 9\/12 \u2212 2\/12 = 15\/12 = <strong>5\/4<\/strong> (= 1\u00bc).<\/p>\n<p><strong>3. Approximation:<\/strong> 24.96% of 1599.98 + 15.02% of 799.99 \u2248 25% of 1600 + 15% of 800 = 400 + 120 = <strong>520<\/strong>.<\/p>\n<p><strong>4. Square root:<\/strong> \u221a2025 = <strong>45<\/strong> (since 45\u00b2 = 2025 \u2014 recognising the square saves all the working).<\/p>\n<div class=\"sp-cta\">\n<h3>Turn these tricks into exam speed \ud83c\udfaf<\/h3>\n<p>Simplification marks come from speed, and speed only comes from timed practice. The Quant section is a fixed 15-minute lock \u2014 try a free sectional mock and see how many you can clear in time.<\/p>\n<p><a class=\"sp-btn\" href=\"https:\/\/superpahal.com\/academy\/event\/ssc-cgl-2025-free-mock-test-sectional\">Take a Free Sectional Mock Test \u2192<\/a>\n<\/div>\n<h2 id=\"speed\">Speed rules<\/h2>\n<ul>\n<li><strong>Read the instruction first.<\/strong> &#8220;Approximate value&#8221; means round; &#8220;simplify&#8221; means exact.<\/li>\n<li><strong>Convert percentages to fractions<\/strong> using the table \u2014 it&#8217;s almost always faster.<\/li>\n<li><strong>Spot perfect squares and cubes<\/strong> before reaching for long division of roots.<\/li>\n<li><strong>Cancel before you multiply<\/strong> in fractions \u2014 smaller numbers, fewer errors.<\/li>\n<li><strong>Go left to right<\/strong> for \u00f7 and \u00d7 (and for + and \u2212); never reorder them.<\/li>\n<\/ul>\n<h2 id=\"mistakes\">Common mistakes that cost marks<\/h2>\n<div class=\"sp-mistake\">\n<ul>\n<li><strong>Breaking the left-to-right rule<\/strong> for division and multiplication.<\/li>\n<li><strong>Sign errors<\/strong> when a minus sits before a bracket.<\/li>\n<li><strong>Calculating exactly<\/strong> when the question only wants an approximate value.<\/li>\n<li><strong>Ignoring &#8220;of&#8221;<\/strong> or treating it as division instead of multiplication.<\/li>\n<li><strong>Re-deriving squares and fractions<\/strong> mid-exam instead of memorising them.<\/li>\n<\/ul>\n<\/div>\n<h2 id=\"practice\">Practice mini-set (self-test)<\/h2>\n<p>Solve each first, then tap to reveal the answer.<\/p>\n<div class=\"sp-quiz\">\n<p><strong>Q1.<\/strong> 15 + 9 \u00f7 3 \u00d7 2 \u2212 4 = ?<\/p>\n<details>\n<summary>Show answer<\/summary>\n<p><strong>17.<\/strong> 9 \u00f7 3 = 3; 3 \u00d7 2 = 6; 15 + 6 \u2212 4 = 17. (Left to right for \u00f7 and \u00d7.)<\/p>\n<\/details>\n<p><strong>Q2.<\/strong> Approximate value of 34.97% of 800.<\/p>\n<details>\n<summary>Show answer<\/summary>\n<p><strong>280.<\/strong> \u2248 35% of 800 = 280.<\/p>\n<\/details>\n<p><strong>Q3.<\/strong> \u221a1444 = ?<\/p>\n<details>\n<summary>Show answer<\/summary>\n<p><strong>38.<\/strong> 38\u00b2 = 1444.<\/p>\n<\/details>\n<p><strong>Q4.<\/strong> 3\/5 + 1\/2 \u2212 1\/10 = ?<\/p>\n<details>\n<summary>Show answer<\/summary>\n<p><strong>1.<\/strong> LCM = 10 \u2192 6\/10 + 5\/10 \u2212 1\/10 = 10\/10 = 1.<\/p>\n<\/details>\n<p><strong>Q5.<\/strong> 12.5% of 640 = ?<\/p>\n<details>\n<summary>Show answer<\/summary>\n<p><strong>80.<\/strong> 12.5% = 1\/8, and 1\/8 \u00d7 640 = 80.<\/p>\n<\/details>\n<\/div>\n<h2 id=\"faq\">Frequently asked questions<\/h2>\n<p><strong>What is the BODMAS rule?<\/strong><br \/>\nBODMAS (or VBODMAS) is the order for solving any expression: Vinculum, Brackets, Of, Division, Multiplication, Addition, Subtraction. Division and Multiplication are done left to right at the same level, as are Addition and Subtraction.<\/p>\n<p><strong>How do I solve simplification questions quickly?<\/strong><br \/>\nApply BODMAS strictly, convert percentages to fractions using memorised values, and recognise perfect squares and cubes instead of calculating them. Memorising a short table of values removes most of the time you&#8217;d otherwise lose.<\/p>\n<p><strong>What is the difference between simplification and approximation?<\/strong><br \/>\nSimplification asks for the exact value using BODMAS. Approximation asks only for a value close to the answer, so you round every number to the nearest easy value first \u2014 the options are spaced far enough apart that the rounded result is correct.<\/p>\n<p><strong>Which values should I memorise for simplification?<\/strong><br \/>\nSquares up to 30, cubes up to about 12, and the fraction-to-percentage conversions such as 1\/8 being 12.5 per cent. These come up constantly and save the most time.<\/p>\n<p><strong>Is &#8220;of&#8221; multiplication or division in BODMAS?<\/strong><br \/>\n&#8220;Of&#8221; means multiplication and is given priority, so &#8220;1\/2 of 80&#8221; is 1\/2 \u00d7 80 = 40, resolved before ordinary division.<\/p>\n<p><strong>Is simplification important for SSC CGL?<\/strong><br \/>\nYes. It is among the highest-frequency and highest-accuracy Quant topics, so mastering it secures quick, reliable marks in the 15-minute Quant section.<\/p>\n<hr \/>\n<h3>\ud83d\udccc Related reading<\/h3>\n<ul>\n<li><a href=\"https:\/\/superpahal.com\/blog\/ssc-cgl-maths-formulas-shortcuts\">SSC CGL Maths Formulas &amp; Shortcuts \u2014 full cheat sheet<\/a><\/li>\n<li><a href=\"https:\/\/superpahal.com\/blog\/ssc-cgl-2026-maths-syllabus\">SSC CGL 2026 Maths Syllabus &amp; Strategy<\/a><\/li>\n<p><!-- TODO: add Hindi twin link once ssc-cgl-simplification-approximation-tricks-hindi is published -->\n<\/ul>\n<p style=\"font-size:15px;\">\ud83d\udc49 Ready to apply these tricks under real exam conditions? <a href=\"https:\/\/superpahal.com\/academy\/event\/ssc-cgl-2025-free-mock-test-sectional\">Take a free SSC CGL sectional mock test \u2192<\/a><\/p>\n<\/div>\n<p><script type=\"application\/ld+json\">\n{\n  \"@context\": \"https:\/\/schema.org\",\n  \"@type\": \"FAQPage\",\n  \"inLanguage\": \"en\",\n  \"mainEntity\": [\n    {\n      \"@type\": \"Question\",\n      \"name\": \"What is the BODMAS rule?\",\n      \"acceptedAnswer\": {\n        \"@type\": \"Answer\",\n        \"text\": \"BODMAS or VBODMAS is the order for solving any expression: Vinculum, Brackets, Of, Division, Multiplication, Addition, Subtraction. 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