{"id":2329,"date":"2025-06-07T10:27:09","date_gmt":"2025-06-07T10:27:09","guid":{"rendered":"https:\/\/diznr.com\/?p=2329"},"modified":"2025-06-07T10:27:09","modified_gmt":"2025-06-07T10:27:09","slug":"basic-concepts-maths-reasoning-speed-tricks-shortcuts-for-exams-competition","status":"publish","type":"post","link":"https:\/\/www.reilsolar.com\/pdf\/basic-concepts-maths-reasoning-speed-tricks-shortcuts-for-exams-competition\/","title":{"rendered":"Basic Concepts Math&#8217;s Reasoning Speed Tricks &amp; Shortcuts For Competition Exams"},"content":{"rendered":"<p><span style=\"color: #ffffff\">Basic Concepts Maths Reasoning Speed Tricks Short Cuts for Competition Exams aptitude shortcuts and mind tricks Mathematical Reasoning Tricks maths shortcut tricks for competitive exam. FAST MATHS TRICK SPEED MATHS ALL COMPETITIVE Speed Maths Trick for Competitive Maths Fast Speed Tricks.Fast Maths Tricks and Shortcuts Bank Exams Mathematics Tricks &amp; Shortcuts For Competitive Exams Improve Speed and Accuracy in Maths Problems maths reasoning question solve in less time.<\/span><\/p>\n<p>In order to solve Mathematics Reasoning questions correctly and to solve all the questions of Reasoning easily, it is necessary for any computer teacher exam as well as it is also important to solve Reasoning Mathematics Reasoning through tricks. Trying to understand how is it that if we try to solve mathematics questions through a trick, then in a short time we will be able to solve the questions Reasoning tricks are best on very different things like Looking for the missing number based on the number series based on the letter series, the questions of the calendar, the questions of the clock, in these things we easily solve their questions by applying tricks and shortcuts.<\/p>\n<p>All these questions are asked in many exams such as SBI Such questions are asked in Bank PO SSC CGL MTS CPO UPSC IPS Exam and in this exam, solving the questions in a short time is considered to be the success of the exam, that&#8217;s why we need these short tricks where we Solve more questions So that we can get success in exam<\/p>\n<h2 style=\"text-align: center\"><span style=\"font-family: comic sans ms, sans-serif;background-color: #ccffff\">Basic Concepts Maths Reasoning Speed Tricks<\/span><\/h2>\n<p>mathematics first trick method helps the students to take all the question in less time and the speed and accuracy for solving the mathematics question is the key for success of any competitive examination the examination test the speed and accuracy of the students of solving the reasoning questions so maintaining the speed and talent of the question in any competitive examination is very recently so we have to practice the mathematics reasoning questions and we have to excel the speed and accuracy power by solving more and more mathematics questions.<\/p>\n<h2 id=\"title\" class=\"style-scope ytd-playlist-sidebar-primary-info-renderer\" style=\"text-align: center\"><span style=\"font-family: comic sans ms, sans-serif;background-color: #ffff99\">Mathematical Reasoning Tricks VIDEOS<\/span><\/h2>\n<h2 style=\"text-align: center\"><span style=\"font-family: comic sans ms, sans-serif;background-color: #ccffff\">ShortCuts For Competition Exams<\/span><\/h2>\n<p>There are a lot of speed and accuracy tricks for solving the competitive examination questions of mathematics so we all have to understand it and we all have to solve the mathematics question early practice of the mathematics problem may take some time but after the practice of lot number of question the chances of error in mathematical question becomes Les and this increases the speed of the solving of mathematics question the speed of Aptitude solving questions and to the questions which is asked in quantitative examination.<\/p>\n<h3 class=\"\" data-start=\"0\" data-end=\"94\"><strong data-start=\"4\" data-end=\"92\">Basic Concepts of Math Reasoning with Speed Tricks &amp; Shortcuts for Competitive Exams<\/strong><\/h3>\n<p class=\"\" data-start=\"96\" data-end=\"321\">Mathematical reasoning is a crucial part of <strong data-start=\"140\" data-end=\"161\">competitive exams<\/strong> like <strong data-start=\"167\" data-end=\"234\">SSC, Banking, Railway, CAT, GRE, UPSC, and other aptitude tests<\/strong>. It tests your logical thinking, problem-solving ability, and speed in calculations.<\/p>\n<h3 data-start=\"328\" data-end=\"360\"><strong data-start=\"331\" data-end=\"358\">1. Number Series Tricks<\/strong><\/h3>\n<p class=\"\" data-start=\"361\" data-end=\"495\"><strong data-start=\"363\" data-end=\"388\">Identify the Pattern:<\/strong> Look for <strong data-start=\"398\" data-end=\"476\">addition, subtraction, multiplication, squares, cubes, prime numbers, etc.<\/strong><br data-start=\"476\" data-end=\"479\" \/><strong data-start=\"481\" data-end=\"493\">Example:<\/strong><\/p>\n<ul data-start=\"499\" data-end=\"615\">\n<li class=\"\" data-start=\"499\" data-end=\"522\">\n<p class=\"\" data-start=\"501\" data-end=\"522\"><strong data-start=\"501\" data-end=\"520\">2, 6, 12, 20, ?<\/strong><\/p>\n<\/li>\n<li class=\"\" data-start=\"526\" data-end=\"578\">\n<p class=\"\" data-start=\"528\" data-end=\"578\">Pattern: <strong data-start=\"537\" data-end=\"549\">(n\u00b2 + n)<\/strong> \u2192 3\u00b2 + 3 = 12, 4\u00b2 + 4 = 20<\/p>\n<\/li>\n<li class=\"\" data-start=\"582\" data-end=\"615\">\n<p class=\"\" data-start=\"584\" data-end=\"615\">Next Number = <strong data-start=\"598\" data-end=\"613\">5\u00b2 + 5 = 30<\/strong><\/p>\n<\/li>\n<\/ul>\n<p class=\"\" data-start=\"617\" data-end=\"715\"><strong data-start=\"620\" data-end=\"633\">Shortcut:<\/strong> Memorize <strong data-start=\"643\" data-end=\"669\">common series patterns<\/strong> (Squares, Cubes, Fibonacci, Prime Numbers).<\/p>\n<h3 data-start=\"722\" data-end=\"771\"><strong data-start=\"725\" data-end=\"769\">2. Simplification &amp; Approximation Tricks<\/strong><\/h3>\n<p class=\"\" data-start=\"772\" data-end=\"831\"><strong data-start=\"774\" data-end=\"790\">BODMAS Rule:<\/strong> Always follow the order of operations:<\/p>\n<ul data-start=\"835\" data-end=\"1090\">\n<li class=\"\" data-start=\"835\" data-end=\"959\">\n<p class=\"\" data-start=\"837\" data-end=\"959\"><strong data-start=\"837\" data-end=\"842\">B<\/strong>rackets \u2192 <strong data-start=\"852\" data-end=\"857\">O<\/strong>rders (Powers) \u2192 <strong data-start=\"874\" data-end=\"879\">D<\/strong>ivision \u2192 <strong data-start=\"889\" data-end=\"894\">M<\/strong>ultiplication \u2192 <strong data-start=\"910\" data-end=\"915\">A<\/strong>ddition \u2192 <strong data-start=\"925\" data-end=\"930\">S<\/strong>ubtraction<br data-start=\"940\" data-end=\"943\" \/><strong data-start=\"945\" data-end=\"957\">Example:<\/strong><\/p>\n<\/li>\n<li class=\"\" data-start=\"963\" data-end=\"992\">\n<p class=\"\" data-start=\"965\" data-end=\"992\"><span class=\"katex\"><span class=\"katex-mathml\">24+12\u00f74\u00d73\u2212624 + 12 \u00f7 4 \u00d7 3 &#8211; 6<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\">24<\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord\">12<\/span><span class=\"mbin\">\u00f7<\/span><\/span><span class=\"base\"><span class=\"mord\">4<\/span><span class=\"mbin\">\u00d7<\/span><\/span><span class=\"base\"><span class=\"mord\">3<\/span><span class=\"mbin\">\u2212<\/span><\/span><span class=\"base\"><span class=\"mord\">6<\/span><\/span><\/span><\/span><\/p>\n<\/li>\n<li class=\"\" data-start=\"996\" data-end=\"1022\">\n<p class=\"\" data-start=\"998\" data-end=\"1022\"><strong data-start=\"998\" data-end=\"1009\">Step 1:<\/strong> 12 \u00f7 4 = 3<\/p>\n<\/li>\n<li class=\"\" data-start=\"1026\" data-end=\"1051\">\n<p class=\"\" data-start=\"1028\" data-end=\"1051\"><strong data-start=\"1028\" data-end=\"1039\">Step 2:<\/strong> 3 \u00d7 3 = 9<\/p>\n<\/li>\n<li class=\"\" data-start=\"1055\" data-end=\"1090\">\n<p class=\"\" data-start=\"1057\" data-end=\"1090\"><strong data-start=\"1057\" data-end=\"1068\">Step 3:<\/strong> 24 + 9 &#8211; 6 = <strong data-start=\"1082\" data-end=\"1088\">27<\/strong><\/p>\n<\/li>\n<\/ul>\n<p class=\"\" data-start=\"1092\" data-end=\"1175\"><strong data-start=\"1095\" data-end=\"1108\">Shortcut:<\/strong> Approximate values for faster calculations (e.g., use 3.14 for \u03c0).<\/p>\n<h3 data-start=\"1182\" data-end=\"1214\"><strong data-start=\"1185\" data-end=\"1212\">3. Percentage Shortcuts<\/strong><\/h3>\n<p class=\"\" data-start=\"1215\" data-end=\"1240\"><strong data-start=\"1217\" data-end=\"1238\">Shortcut Formula:<\/strong><\/p>\n<ul data-start=\"1244\" data-end=\"1443\">\n<li class=\"\" data-start=\"1244\" data-end=\"1287\">\n<p class=\"\" data-start=\"1246\" data-end=\"1287\"><span class=\"katex\"><span class=\"katex-mathml\">x%x\\%<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">x<\/span><span class=\"mord\">%<\/span><\/span><\/span><\/span> of <strong data-start=\"1259\" data-end=\"1264\">y<\/strong> = <span class=\"katex\"><span class=\"katex-mathml\">y%y\\%<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">y<\/span><span class=\"mord\">%<\/span><\/span><\/span><\/span> of <strong data-start=\"1280\" data-end=\"1285\">x<\/strong><\/p>\n<\/li>\n<li class=\"\" data-start=\"1291\" data-end=\"1374\">\n<p class=\"\" data-start=\"1293\" data-end=\"1374\">Example: <strong data-start=\"1302\" data-end=\"1332\">36% of 50 = 50% of 36 = 18<\/strong><br data-start=\"1332\" data-end=\"1335\" \/><strong data-start=\"1337\" data-end=\"1372\">Fraction-Percentage Conversion:<\/strong><\/p>\n<\/li>\n<li class=\"\" data-start=\"1378\" data-end=\"1443\">\n<p class=\"\" data-start=\"1380\" data-end=\"1443\"><strong data-start=\"1380\" data-end=\"1393\">1\/2 = 50%<\/strong>, <strong data-start=\"1395\" data-end=\"1411\">1\/3 = 33.33%<\/strong>, <strong data-start=\"1413\" data-end=\"1426\">1\/4 = 25%<\/strong>, <strong data-start=\"1428\" data-end=\"1441\">1\/5 = 20%<\/strong><\/p>\n<\/li>\n<\/ul>\n<h3 data-start=\"1450\" data-end=\"1482\"><strong data-start=\"1453\" data-end=\"1480\">4. Profit &amp; Loss Tricks<\/strong><\/h3>\n<p class=\"\" data-start=\"1483\" data-end=\"1505\"><strong data-start=\"1485\" data-end=\"1503\">Basic Formula:<\/strong><\/p>\n<ul data-start=\"1509\" data-end=\"1784\">\n<li class=\"\" data-start=\"1509\" data-end=\"1565\">\n<p class=\"\" data-start=\"1511\" data-end=\"1565\"><strong data-start=\"1511\" data-end=\"1523\">Profit %<\/strong> = <span class=\"katex\"><span class=\"katex-mathml\">ProfitCostPrice\u00d7100\\frac{Profit}{Cost Price} \u00d7 100<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">C<\/span><span class=\"mord mathnormal mtight\">os<\/span><span class=\"mord mathnormal mtight\">tP<\/span><span class=\"mord mathnormal mtight\">r<\/span><span class=\"mord mathnormal mtight\">i<\/span><span class=\"mord mathnormal mtight\">ce<\/span><\/span><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">P<\/span><span class=\"mord mathnormal mtight\">ro<\/span><span class=\"mord mathnormal mtight\">f<\/span><span class=\"mord mathnormal mtight\">i<\/span><span class=\"mord mathnormal mtight\">t<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mbin\">\u00d7<\/span><\/span><span class=\"base\"><span class=\"mord\">100<\/span><\/span><\/span><\/span><\/p>\n<\/li>\n<li class=\"\" data-start=\"1569\" data-end=\"1639\">\n<p class=\"\" data-start=\"1571\" data-end=\"1639\"><strong data-start=\"1571\" data-end=\"1581\">Loss %<\/strong> = <span class=\"katex\"><span class=\"katex-mathml\">LossCostPrice\u00d7100\\frac{Loss}{Cost Price} \u00d7 100<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">C<\/span><span class=\"mord mathnormal mtight\">os<\/span><span class=\"mord mathnormal mtight\">tP<\/span><span class=\"mord mathnormal mtight\">r<\/span><span class=\"mord mathnormal mtight\">i<\/span><span class=\"mord mathnormal mtight\">ce<\/span><\/span><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">L<\/span><span class=\"mord mathnormal mtight\">oss<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mbin\">\u00d7<\/span><\/span><span class=\"base\"><span class=\"mord\">100<\/span><\/span><\/span><\/span><br data-start=\"1619\" data-end=\"1622\" \/>\u2714 <strong data-start=\"1624\" data-end=\"1637\">Shortcut:<\/strong><\/p>\n<\/li>\n<li class=\"\" data-start=\"1643\" data-end=\"1727\">\n<p class=\"\" data-start=\"1645\" data-end=\"1727\">If Profit is <strong data-start=\"1658\" data-end=\"1664\">x%<\/strong>, then Selling Price (SP) = <strong data-start=\"1692\" data-end=\"1725\">(100 + x)% of Cost Price (CP)<\/strong><\/p>\n<\/li>\n<li class=\"\" data-start=\"1731\" data-end=\"1784\">\n<p class=\"\" data-start=\"1733\" data-end=\"1784\">If Loss is <strong data-start=\"1744\" data-end=\"1750\">x%<\/strong>, then SP = <strong data-start=\"1762\" data-end=\"1782\">(100 &#8211; x)% of CP<\/strong><\/p>\n<\/li>\n<\/ul>\n<h3 data-start=\"1791\" data-end=\"1824\"><strong data-start=\"1794\" data-end=\"1822\">5. Time &amp; Work Shortcuts<\/strong><\/h3>\n<p class=\"\" data-start=\"1825\" data-end=\"1841\"><strong data-start=\"1827\" data-end=\"1839\">Formula:<\/strong><\/p>\n<ul data-start=\"1845\" data-end=\"2226\">\n<li class=\"\" data-start=\"1845\" data-end=\"1899\">\n<p class=\"\" data-start=\"1847\" data-end=\"1899\"><strong data-start=\"1847\" data-end=\"1880\">Work Done = Efficiency \u00d7 Time<\/strong><br data-start=\"1880\" data-end=\"1883\" \/><strong data-start=\"1885\" data-end=\"1897\">Example:<\/strong><\/p>\n<\/li>\n<li class=\"\" data-start=\"1903\" data-end=\"2004\">\n<p class=\"\" data-start=\"1905\" data-end=\"2004\">A can complete a work in <strong data-start=\"1930\" data-end=\"1941\">10 days<\/strong> and B in <strong data-start=\"1951\" data-end=\"1962\">15 days<\/strong>. How many days will both take together?<\/p>\n<\/li>\n<li class=\"\" data-start=\"2008\" data-end=\"2086\">\n<p class=\"\" data-start=\"2010\" data-end=\"2086\">Efficiency of A = <span class=\"katex\"><span class=\"katex-mathml\">110\\frac{1}{10}<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">10<\/span><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>, Efficiency of B = <span class=\"katex\"><span class=\"katex-mathml\">115\\frac{1}{15}<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">15<\/span><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<\/li>\n<li class=\"\" data-start=\"2090\" data-end=\"2195\">\n<p class=\"\" data-start=\"2092\" data-end=\"2195\">Combined Efficiency = <span class=\"katex\"><span class=\"katex-mathml\">110+115=3+230=530=16\\frac{1}{10} + \\frac{1}{15} = \\frac{3+2}{30} = \\frac{5}{30} = \\frac{1}{6}<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">10<\/span><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mbin\">+<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">15<\/span><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">30<\/span><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">3<span class=\"mbin mtight\">+<\/span>2<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">30<\/span><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">5<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">6<\/span><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<\/li>\n<li class=\"\" data-start=\"2199\" data-end=\"2226\">\n<p class=\"\" data-start=\"2201\" data-end=\"2226\">Total time = <strong data-start=\"2214\" data-end=\"2224\">6 days<\/strong><\/p>\n<\/li>\n<\/ul>\n<p class=\"\" data-start=\"2228\" data-end=\"2290\"><strong data-start=\"2231\" data-end=\"2244\">Shortcut:<\/strong> Use <strong data-start=\"2249\" data-end=\"2263\">LCM Method<\/strong> for faster calculations.<\/p>\n<h3 data-start=\"2297\" data-end=\"2334\"><strong data-start=\"2300\" data-end=\"2332\">6. Ratio &amp; Proportion Tricks<\/strong><\/h3>\n<p class=\"\" data-start=\"2335\" data-end=\"2354\"><strong data-start=\"2337\" data-end=\"2352\">Basic Rule:<\/strong><\/p>\n<ul data-start=\"2358\" data-end=\"2578\">\n<li class=\"\" data-start=\"2358\" data-end=\"2413\">\n<p class=\"\" data-start=\"2360\" data-end=\"2413\">If <strong data-start=\"2363\" data-end=\"2376\">a\/b = c\/d<\/strong>, then <strong data-start=\"2383\" data-end=\"2394\">ad = bc<\/strong><br data-start=\"2394\" data-end=\"2397\" \/><strong data-start=\"2399\" data-end=\"2411\">Example:<\/strong><\/p>\n<\/li>\n<li class=\"\" data-start=\"2417\" data-end=\"2468\">\n<p class=\"\" data-start=\"2419\" data-end=\"2468\">If <strong data-start=\"2422\" data-end=\"2435\">A:B = 3:5<\/strong> and <strong data-start=\"2440\" data-end=\"2453\">B:C = 2:7<\/strong>, find A:B:C.<\/p>\n<\/li>\n<li class=\"\" data-start=\"2472\" data-end=\"2499\">\n<p class=\"\" data-start=\"2474\" data-end=\"2499\"><strong data-start=\"2474\" data-end=\"2497\">LCM of B = 5,2 = 10<\/strong><\/p>\n<\/li>\n<li class=\"\" data-start=\"2503\" data-end=\"2545\">\n<p class=\"\" data-start=\"2505\" data-end=\"2545\">Adjust ratios: A:B = 6:10, B:C = 10:35<\/p>\n<\/li>\n<li class=\"\" data-start=\"2549\" data-end=\"2578\">\n<p class=\"\" data-start=\"2551\" data-end=\"2578\">Final Ratio = <strong data-start=\"2565\" data-end=\"2576\">6:10:35<\/strong><\/p>\n<\/li>\n<\/ul>\n<p class=\"\" data-start=\"2580\" data-end=\"2630\"><strong data-start=\"2583\" data-end=\"2596\">Shortcut:<\/strong> Cross-multiplication technique.<\/p>\n<h3 data-start=\"2637\" data-end=\"2681\"><strong data-start=\"2640\" data-end=\"2679\">7. Probability &amp; Permutation Tricks<\/strong><\/h3>\n<p class=\"\" data-start=\"2682\" data-end=\"2710\"><strong data-start=\"2684\" data-end=\"2708\">Probability Formula:<\/strong><\/p>\n<ul data-start=\"2714\" data-end=\"3002\">\n<li class=\"\" data-start=\"2714\" data-end=\"2796\">\n<p class=\"\" data-start=\"2716\" data-end=\"2796\">Probability = <span class=\"katex\"><span class=\"katex-mathml\">FavorableOutcomesTotalOutcomes\\frac{Favorable Outcomes}{Total Outcomes}<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">T<\/span><span class=\"mord mathnormal mtight\">o<\/span><span class=\"mord mathnormal mtight\">t<\/span><span class=\"mord mathnormal mtight\">a<\/span><span class=\"mord mathnormal mtight\">lO<\/span><span class=\"mord mathnormal mtight\">u<\/span><span class=\"mord mathnormal mtight\">t<\/span><span class=\"mord mathnormal mtight\">co<\/span><span class=\"mord mathnormal mtight\">m<\/span><span class=\"mord mathnormal mtight\">es<\/span><\/span><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">F<\/span><span class=\"mord mathnormal mtight\">a<\/span><span class=\"mord mathnormal mtight\">v<\/span><span class=\"mord mathnormal mtight\">or<\/span><span class=\"mord mathnormal mtight\">ab<\/span><span class=\"mord mathnormal mtight\">l<\/span><span class=\"mord mathnormal mtight\">e<\/span><span class=\"mord mathnormal mtight\">O<\/span><span class=\"mord mathnormal mtight\">u<\/span><span class=\"mord mathnormal mtight\">t<\/span><span class=\"mord mathnormal mtight\">co<\/span><span class=\"mord mathnormal mtight\">m<\/span><span class=\"mord mathnormal mtight\">es<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><br data-start=\"2777\" data-end=\"2780\" \/><strong data-start=\"2782\" data-end=\"2794\">Example:<\/strong><\/p>\n<\/li>\n<li class=\"\" data-start=\"2800\" data-end=\"2897\">\n<p class=\"\" data-start=\"2802\" data-end=\"2897\">Tossing a Coin: Probability of getting heads = <span class=\"katex\"><span class=\"katex-mathml\">12\\frac{1}{2}<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">1<\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><br data-start=\"2866\" data-end=\"2869\" \/><strong data-start=\"2871\" data-end=\"2895\">Permutation Formula:<\/strong><\/p>\n<\/li>\n<li class=\"\" data-start=\"2901\" data-end=\"2963\">\n<p class=\"\" data-start=\"2903\" data-end=\"2963\"><span class=\"katex\"><span class=\"katex-mathml\">nPr=n!(n\u2212r)!nPr = \\frac{n!}{(n-r)!}<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">n<\/span><span class=\"mord mathnormal\">P<\/span><span class=\"mord mathnormal\">r<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mathnormal mtight\">r<\/span><span class=\"mclose mtight\">)!<\/span><\/span><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mclose mtight\">!<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><br data-start=\"2932\" data-end=\"2935\" \/><strong data-start=\"2937\" data-end=\"2961\">Combination Formula:<\/strong><\/p>\n<\/li>\n<li class=\"\" data-start=\"2967\" data-end=\"3002\">\n<p class=\"\" data-start=\"2969\" data-end=\"3002\"><span class=\"katex\"><span class=\"katex-mathml\">nCr=n!r!(n\u2212r)!nCr = \\frac{n!}{r!(n-r)!}<\/span><span class=\"katex-html\" aria-hidden=\"true\"><span class=\"base\"><span class=\"mord mathnormal\">n<\/span><span class=\"mord mathnormal\">C<\/span><span class=\"mord mathnormal\">r<\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mord\"><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">r<\/span><span class=\"mclose mtight\">!<\/span><span class=\"mopen mtight\">(<\/span><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mbin mtight\">\u2212<\/span><span class=\"mord mathnormal mtight\">r<\/span><span class=\"mclose mtight\">)!<\/span><\/span><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord mathnormal mtight\">n<\/span><span class=\"mclose mtight\">!<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<\/li>\n<\/ul>\n<p class=\"\" data-start=\"3004\" data-end=\"3111\"><strong data-start=\"3007\" data-end=\"3020\">Shortcut:<\/strong> Memorize factorial values <strong data-start=\"3047\" data-end=\"3084\">(1! = 1, 2! = 2, 3! = 6, 4! = 24)<\/strong> for faster calculations.<\/p>\n<h3 data-start=\"3118\" data-end=\"3159\"><strong data-start=\"3121\" data-end=\"3157\">8. Speed, Distance &amp; Time Tricks<\/strong><\/h3>\n<p class=\"\" data-start=\"3160\" data-end=\"3182\"><strong data-start=\"3162\" data-end=\"3180\">Basic Formula:<\/strong><\/p>\n<ul data-start=\"3186\" data-end=\"3429\">\n<li class=\"\" data-start=\"3186\" data-end=\"3217\">\n<p class=\"\" data-start=\"3188\" data-end=\"3217\"><strong data-start=\"3188\" data-end=\"3215\">Speed = Distance \/ Time<\/strong><\/p>\n<\/li>\n<li class=\"\" data-start=\"3221\" data-end=\"3252\">\n<p class=\"\" data-start=\"3223\" data-end=\"3252\"><strong data-start=\"3223\" data-end=\"3250\">Distance = Speed \u00d7 Time<\/strong><\/p>\n<\/li>\n<li class=\"\" data-start=\"3256\" data-end=\"3323\">\n<p class=\"\" data-start=\"3258\" data-end=\"3323\"><strong data-start=\"3258\" data-end=\"3285\">Time = Distance \/ Speed<\/strong><br data-start=\"3285\" data-end=\"3288\" \/><strong data-start=\"3290\" data-end=\"3321\">Shortcut for Average Speed:<\/strong><\/p>\n<\/li>\n<li class=\"\" data-start=\"3327\" data-end=\"3429\">\n<p class=\"\" data-start=\"3329\" data-end=\"3429\">If a journey is covered at two speeds <strong data-start=\"3367\" data-end=\"3372\">x<\/strong> and <strong data-start=\"3377\" data-end=\"3382\">y<\/strong>, then<br data-start=\"3388\" data-end=\"3391\" \/><strong data-start=\"3396\" data-end=\"3427\">Avg Speed = (2xy) \/ (x + y)<\/strong><\/p>\n<\/li>\n<\/ul>\n<p class=\"\" data-start=\"3431\" data-end=\"3447\"><strong data-start=\"3433\" data-end=\"3445\">Example:<\/strong><\/p>\n<ul data-start=\"3451\" data-end=\"3692\">\n<li class=\"\" data-start=\"3451\" data-end=\"3547\">\n<p class=\"\" data-start=\"3453\" data-end=\"3547\">A car travels <strong data-start=\"3467\" data-end=\"3479\">60 km\/hr<\/strong> for 2 hours and <strong data-start=\"3496\" data-end=\"3508\">40 km\/hr<\/strong> for 3 hours. Find the average speed.<\/p>\n<\/li>\n<li class=\"\" data-start=\"3551\" data-end=\"3612\">\n<p class=\"\" data-start=\"3553\" data-end=\"3612\">Total Distance = <strong data-start=\"3570\" data-end=\"3610\">(60\u00d72) + (40\u00d73) = 120 + 120 = 240 km<\/strong><\/p>\n<\/li>\n<li class=\"\" data-start=\"3616\" data-end=\"3652\">\n<p class=\"\" data-start=\"3618\" data-end=\"3652\">Total Time = <strong data-start=\"3631\" data-end=\"3650\">2 + 3 = 5 hours<\/strong><\/p>\n<\/li>\n<li class=\"\" data-start=\"3656\" data-end=\"3692\">\n<p class=\"\" data-start=\"3658\" data-end=\"3692\">Avg Speed = <strong data-start=\"3670\" data-end=\"3690\">240\/5 = 48 km\/hr<\/strong><\/p>\n<\/li>\n<\/ul>\n<h3 data-start=\"3699\" data-end=\"3741\"><strong data-start=\"3702\" data-end=\"3739\">9. Important Square &amp; Cube Tricks<\/strong><\/h3>\n<p class=\"\" data-start=\"3742\" data-end=\"3765\"><strong data-start=\"3744\" data-end=\"3763\">Squares of 1-25<\/strong><\/p>\n<ul data-start=\"3769\" data-end=\"3935\">\n<li class=\"\" data-start=\"3769\" data-end=\"3860\">\n<p class=\"\" data-start=\"3771\" data-end=\"3860\"><strong data-start=\"3771\" data-end=\"3781\">1\u00b2 = 1<\/strong>, <strong data-start=\"3783\" data-end=\"3793\">2\u00b2 = 4<\/strong>, <strong data-start=\"3795\" data-end=\"3805\">3\u00b2 = 9<\/strong>, <strong data-start=\"3807\" data-end=\"3818\">4\u00b2 = 16<\/strong>, \u2026, <strong data-start=\"3823\" data-end=\"3836\">25\u00b2 = 625<\/strong><br data-start=\"3836\" data-end=\"3839\" \/>\u2714 <strong data-start=\"3841\" data-end=\"3858\">Cubes of 1-10<\/strong><\/p>\n<\/li>\n<li class=\"\" data-start=\"3864\" data-end=\"3935\">\n<p class=\"\" data-start=\"3866\" data-end=\"3935\"><strong data-start=\"3866\" data-end=\"3876\">1\u00b3 = 1<\/strong>, <strong data-start=\"3878\" data-end=\"3888\">2\u00b3 = 8<\/strong>, <strong data-start=\"3890\" data-end=\"3901\">3\u00b3 = 27<\/strong>, <strong data-start=\"3903\" data-end=\"3914\">4\u00b3 = 64<\/strong>, \u2026, <strong data-start=\"3919\" data-end=\"3933\">10\u00b3 = 1000<\/strong><\/p>\n<\/li>\n<\/ul>\n<p class=\"\" data-start=\"3937\" data-end=\"4022\"><strong data-start=\"3940\" data-end=\"3953\">Shortcut:<\/strong> Use the <strong data-start=\"3962\" data-end=\"3976\">Vedic Math<\/strong> technique for squaring numbers ending in 5.<\/p>\n<h3 class=\"\" data-start=\"4029\" data-end=\"4072\"><strong data-start=\"4033\" data-end=\"4070\">Final Tips for Fast Calculations:<\/strong><\/h3>\n<ol data-start=\"4073\" data-end=\"4430\">\n<li class=\"\" data-start=\"4073\" data-end=\"4139\">\n<p class=\"\" data-start=\"4076\" data-end=\"4139\"><strong data-start=\"4076\" data-end=\"4137\">Memorize Tables (1-20), Squares (1-25), and Cubes (1-10).<\/strong><\/p>\n<\/li>\n<li class=\"\" data-start=\"4140\" data-end=\"4215\">\n<p class=\"\" data-start=\"4143\" data-end=\"4215\"><strong data-start=\"4143\" data-end=\"4188\">Use Approximation &amp; Estimation Techniques<\/strong> in lengthy calculations.<\/p>\n<\/li>\n<li class=\"\" data-start=\"4216\" data-end=\"4285\">\n<p class=\"\" data-start=\"4219\" data-end=\"4285\"><strong data-start=\"4219\" data-end=\"4243\">Practice Mental Math<\/strong> (Avoid unnecessary paper calculations).<\/p>\n<\/li>\n<li class=\"\" data-start=\"4286\" data-end=\"4356\">\n<p class=\"\" data-start=\"4289\" data-end=\"4356\"><strong data-start=\"4289\" data-end=\"4316\">Learn Vedic Math Tricks<\/strong> for faster multiplication &amp; division.<\/p>\n<\/li>\n<li class=\"\" data-start=\"4357\" data-end=\"4430\">\n<p class=\"\" data-start=\"4360\" data-end=\"4430\"><strong data-start=\"4360\" data-end=\"4399\">Solve Previous Year Question Papers<\/strong> to improve accuracy &amp; speed.<\/p>\n<\/li>\n<\/ol>\n<p class=\"\" data-start=\"4432\" data-end=\"4501\">Would you like <strong data-start=\"4447\" data-end=\"4484\">more tricks or practice questions<\/strong> on any topic?<\/p>\n<h3 data-start=\"4432\" data-end=\"4501\"><a href=\"https:\/\/www.jaipuria.ac.in\/blog\/wp-content\/uploads\/2023\/07\/Quant-Short-Tricks-PDF.pdf\" target=\"_blank\" rel=\"noopener\">Basic Concepts Math&#8217;s Reasoning Speed Tricks &amp;amp; Shortcuts For Competition Exams<\/a><\/h3>\n<div class=\"kb0PBd A9Y9g jGGQ5e\" data-snf=\"x5WNvb\" data-snhf=\"0\">\n<div>\n<div>\n<div class=\"yuRUbf\">\n<div class=\"b8lM7\">\n<h3 class=\"LC20lb MBeuO DKV0Md\"><a href=\"https:\/\/p.urbanpro.com\/tv-prod\/documents%2Fnull-SSC-CGL-Tier-1-Short-Tricks-and-Formulas-PDF.pdf\" target=\"_blank\" rel=\"noopener\">SSC CGL Tier 1 Maths Short Tricks and Formulas<\/a><\/h3>\n<div class=\"kb0PBd A9Y9g jGGQ5e\" data-snf=\"x5WNvb\" data-snhf=\"0\">\n<div>\n<div>\n<div class=\"yuRUbf\">\n<div class=\"b8lM7\">\n<h3 class=\"LC20lb MBeuO DKV0Md\"><a href=\"https:\/\/ugcportal.com\/raman-files\/QT-TRICKS.pdf\" target=\"_blank\" rel=\"noopener\">Quantitative Aptitude Tricks &#8211; PDF Download<\/a><\/h3>\n<p data-start=\"0\" data-end=\"173\">Here\u2019s a <strong data-start=\"9\" data-end=\"27\">complete guide<\/strong> to help you master <strong data-start=\"47\" data-end=\"102\">Basic Concepts, Reasoning, Speed Tricks &amp; Shortcuts<\/strong> for <strong data-start=\"107\" data-end=\"128\">competitive exams<\/strong> like SSC, Banking, Railways, UPSC, and more.<\/p>\n<hr data-start=\"175\" data-end=\"178\" \/>\n<h2 data-start=\"180\" data-end=\"224\">\ud83e\udde0 <strong data-start=\"186\" data-end=\"224\">Basic Concepts of Math &amp; Reasoning<\/strong><\/h2>\n<h3 data-start=\"226\" data-end=\"253\">\ud83d\udd22 1. <strong data-start=\"236\" data-end=\"253\">Number System<\/strong><\/h3>\n<ul data-start=\"254\" data-end=\"386\">\n<li data-start=\"254\" data-end=\"320\">\n<p data-start=\"256\" data-end=\"320\">Types of Numbers: Natural, Whole, Integers, Rational, Irrational<\/p>\n<\/li>\n<li data-start=\"321\" data-end=\"364\">\n<p data-start=\"323\" data-end=\"364\">Divisibility rules (2, 3, 4, 5, 6, 9, 10)<\/p>\n<\/li>\n<li data-start=\"365\" data-end=\"386\">\n<p data-start=\"367\" data-end=\"386\">LCM &amp; HCF shortcuts<\/p>\n<\/li>\n<\/ul>\n<h3 data-start=\"388\" data-end=\"432\">\u2716\ufe0f 2. <strong data-start=\"398\" data-end=\"432\">Simplification \/ Approximation<\/strong><\/h3>\n<ul data-start=\"433\" data-end=\"519\">\n<li data-start=\"433\" data-end=\"454\">\n<p data-start=\"435\" data-end=\"454\">Use <strong data-start=\"439\" data-end=\"449\">BODMAS<\/strong> Rule<\/p>\n<\/li>\n<li data-start=\"455\" data-end=\"519\">\n<p data-start=\"457\" data-end=\"519\">Practice <strong data-start=\"466\" data-end=\"489\">decimal to fraction<\/strong> and <strong data-start=\"494\" data-end=\"519\">square root shortcuts<\/strong><\/p>\n<\/li>\n<\/ul>\n<h3 data-start=\"521\" data-end=\"546\">\ud83d\udcb9 3. <strong data-start=\"531\" data-end=\"546\">Percentages<\/strong><\/h3>\n<ul data-start=\"547\" data-end=\"637\">\n<li data-start=\"547\" data-end=\"589\">\n<p data-start=\"549\" data-end=\"589\">1\/2 = 50%, 1\/3 = 33.33%, 1\/4 = 25%, etc.<\/p>\n<\/li>\n<li data-start=\"590\" data-end=\"637\">\n<p data-start=\"592\" data-end=\"637\">Change % to fraction quickly for calculations<\/p>\n<\/li>\n<\/ul>\n<h3 data-start=\"639\" data-end=\"675\">\u23f1\ufe0f 4. <strong data-start=\"649\" data-end=\"675\">Time, Speed &amp; Distance<\/strong><\/h3>\n<ul data-start=\"676\" data-end=\"814\">\n<li data-start=\"676\" data-end=\"710\">\n<p data-start=\"678\" data-end=\"710\">Formula: Speed = Distance \/ Time<\/p>\n<\/li>\n<li data-start=\"711\" data-end=\"757\">\n<p data-start=\"713\" data-end=\"757\">Use <strong data-start=\"717\" data-end=\"733\">ratio method<\/strong> for faster calculations<\/p>\n<\/li>\n<li data-start=\"758\" data-end=\"814\">\n<p data-start=\"760\" data-end=\"814\">Convert km\/hr to m\/sec (\u00d75\/18), m\/sec to km\/hr (\u00d718\/5)<\/p>\n<\/li>\n<\/ul>\n<h3 data-start=\"816\" data-end=\"848\">\ud83d\udcda 5. <strong data-start=\"826\" data-end=\"848\">Ratio &amp; Proportion<\/strong><\/h3>\n<ul data-start=\"849\" data-end=\"910\">\n<li data-start=\"849\" data-end=\"864\">\n<p data-start=\"851\" data-end=\"864\">A : B = A\/B<\/p>\n<\/li>\n<li data-start=\"865\" data-end=\"910\">\n<p data-start=\"867\" data-end=\"910\">Cross multiplication trick to solve quickly<\/p>\n<\/li>\n<\/ul>\n<hr data-start=\"912\" data-end=\"915\" \/>\n<h2 data-start=\"917\" data-end=\"955\">\ud83e\udde9 <strong data-start=\"923\" data-end=\"955\">Reasoning Shortcuts &amp; Tricks<\/strong><\/h2>\n<h3 data-start=\"957\" data-end=\"992\">\u2705 1. <strong data-start=\"966\" data-end=\"992\">Series (Number\/Letter)<\/strong><\/h3>\n<ul data-start=\"993\" data-end=\"1090\">\n<li data-start=\"993\" data-end=\"1056\">\n<p data-start=\"995\" data-end=\"1056\">Find the pattern (\u00b1, \u00d7, \u00f7, squares\/cubes, alternate patterns)<\/p>\n<\/li>\n<li data-start=\"1057\" data-end=\"1090\">\n<p data-start=\"1059\" data-end=\"1090\">Letter coding: A=1, B=2&#8230; Z=26<\/p>\n<\/li>\n<\/ul>\n<h3 data-start=\"1092\" data-end=\"1120\">\u2705 2. <strong data-start=\"1101\" data-end=\"1120\">Coding-Decoding<\/strong><\/h3>\n<ul data-start=\"1121\" data-end=\"1212\">\n<li data-start=\"1121\" data-end=\"1158\">\n<p data-start=\"1123\" data-end=\"1158\">Understand simple alphabet shifting<\/p>\n<\/li>\n<li data-start=\"1159\" data-end=\"1212\">\n<p data-start=\"1161\" data-end=\"1212\">Use reverse alphabet: A=26, Z=1 (for complex codes)<\/p>\n<\/li>\n<\/ul>\n<h3 data-start=\"1214\" data-end=\"1242\">\u2705 3. <strong data-start=\"1223\" data-end=\"1242\">Blood Relations<\/strong><\/h3>\n<ul data-start=\"1243\" data-end=\"1316\">\n<li data-start=\"1243\" data-end=\"1268\">\n<p data-start=\"1245\" data-end=\"1268\">Use family tree diagram<\/p>\n<\/li>\n<li data-start=\"1269\" data-end=\"1316\">\n<p data-start=\"1271\" data-end=\"1316\">Focus on <strong data-start=\"1280\" data-end=\"1304\">gender and direction<\/strong> of relation<\/p>\n<\/li>\n<\/ul>\n<h3 data-start=\"1318\" data-end=\"1346\">\u2705 4. <strong data-start=\"1327\" data-end=\"1346\">Direction Sense<\/strong><\/h3>\n<ul data-start=\"1347\" data-end=\"1437\">\n<li data-start=\"1347\" data-end=\"1392\">\n<p data-start=\"1349\" data-end=\"1392\">Keep compass directions in mind: N, E, S, W<\/p>\n<\/li>\n<li data-start=\"1393\" data-end=\"1437\">\n<p data-start=\"1395\" data-end=\"1437\">Use angles: left turn = 90\u00b0 anti-clockwise<\/p>\n<\/li>\n<\/ul>\n<h3 data-start=\"1439\" data-end=\"1462\">\u2705 5. <strong data-start=\"1448\" data-end=\"1462\">Syllogisms<\/strong><\/h3>\n<ul data-start=\"1463\" data-end=\"1549\">\n<li data-start=\"1463\" data-end=\"1499\">\n<p data-start=\"1465\" data-end=\"1499\">Use <strong data-start=\"1469\" data-end=\"1486\">Venn diagrams<\/strong> for accuracy<\/p>\n<\/li>\n<li data-start=\"1500\" data-end=\"1549\">\n<p data-start=\"1502\" data-end=\"1549\">Learn keywords: &#8220;some&#8221;, &#8220;all&#8221;, &#8220;no&#8221;, &#8220;some not&#8221;<\/p>\n<\/li>\n<\/ul>\n<hr data-start=\"1551\" data-end=\"1554\" \/>\n<h2 data-start=\"1556\" data-end=\"1601\">\u26a1 <strong data-start=\"1561\" data-end=\"1601\">Speed Tricks (Vedic &amp; Shortcut Math)<\/strong><\/h2>\n<h3 data-start=\"1603\" data-end=\"1631\">\u2728 Multiplication Tricks:<\/h3>\n<ul data-start=\"1632\" data-end=\"1717\">\n<li data-start=\"1632\" data-end=\"1671\">\n<p data-start=\"1634\" data-end=\"1671\">Multiply by 5: Half the number \u00d7 10<\/p>\n<\/li>\n<li data-start=\"1672\" data-end=\"1717\">\n<p data-start=\"1674\" data-end=\"1717\">Multiply by 11: Eg. 23 \u00d7 11 = 2(2+3)3 = 253<\/p>\n<\/li>\n<\/ul>\n<h3 data-start=\"1719\" data-end=\"1733\">\u2728 Squares:<\/h3>\n<ul data-start=\"1734\" data-end=\"1830\">\n<li data-start=\"1734\" data-end=\"1762\">\n<p data-start=\"1736\" data-end=\"1762\">(a \u00b1 b)\u00b2 = a\u00b2 \u00b1 2ab + b\u00b2<\/p>\n<\/li>\n<li data-start=\"1763\" data-end=\"1830\">\n<p data-start=\"1765\" data-end=\"1830\">Shortcut:<br data-start=\"1774\" data-end=\"1777\" \/>Eg. 104\u00b2 = (100 + 4)\u00b2 = 100\u00b2 + 2\u00d7100\u00d74 + 4\u00b2 = 10816<\/p>\n<\/li>\n<\/ul>\n<h3 data-start=\"1832\" data-end=\"1849\">\u2728 Cube Roots:<\/h3>\n<ul data-start=\"1850\" data-end=\"1936\">\n<li data-start=\"1850\" data-end=\"1876\">\n<p data-start=\"1852\" data-end=\"1876\">Memorize cubes of 1\u201320<\/p>\n<\/li>\n<li data-start=\"1877\" data-end=\"1936\">\n<p data-start=\"1879\" data-end=\"1936\">For 5-digit perfect cubes, split number and match endings<\/p>\n<\/li>\n<\/ul>\n<hr data-start=\"1938\" data-end=\"1941\" \/>\n<h2 data-start=\"1943\" data-end=\"1966\">\ud83d\udcdd <strong data-start=\"1949\" data-end=\"1966\">Practice Tips<\/strong><\/h2>\n<div class=\"_tableContainer_16hzy_1\">\n<div class=\"_tableWrapper_16hzy_14 group flex w-fit flex-col-reverse\">\n<table class=\"w-fit min-w-(--thread-content-width)\" data-start=\"1968\" data-end=\"2314\">\n<thead data-start=\"1968\" data-end=\"2022\">\n<tr data-start=\"1968\" data-end=\"2022\">\n<th data-start=\"1968\" data-end=\"1991\" data-col-size=\"sm\">Strategy<\/th>\n<th data-start=\"1991\" data-end=\"2022\" data-col-size=\"sm\">Benefit<\/th>\n<\/tr>\n<\/thead>\n<tbody data-start=\"2078\" data-end=\"2314\">\n<tr data-start=\"2078\" data-end=\"2132\">\n<td data-start=\"2078\" data-end=\"2101\" data-col-size=\"sm\">Use <strong data-start=\"2084\" data-end=\"2098\">mock tests<\/strong><\/td>\n<td data-start=\"2101\" data-end=\"2132\" data-col-size=\"sm\">Exam-like speed &amp; accuracy<\/td>\n<\/tr>\n<tr data-start=\"2133\" data-end=\"2197\">\n<td data-start=\"2133\" data-end=\"2162\" data-col-size=\"sm\">Practice <strong data-start=\"2144\" data-end=\"2161\">timed quizzes<\/strong><\/td>\n<td data-col-size=\"sm\" data-start=\"2162\" data-end=\"2197\">Build real-time solving ability<\/td>\n<\/tr>\n<tr data-start=\"2198\" data-end=\"2252\">\n<td data-start=\"2198\" data-end=\"2221\" data-col-size=\"sm\">Make <strong data-start=\"2205\" data-end=\"2220\">short notes<\/strong><\/td>\n<td data-col-size=\"sm\" data-start=\"2221\" data-end=\"2252\">Revise formulas\/tricks fast<\/td>\n<\/tr>\n<tr data-start=\"2253\" data-end=\"2314\">\n<td data-start=\"2253\" data-end=\"2283\" data-col-size=\"sm\">Watch <strong data-start=\"2261\" data-end=\"2282\">YouTube tutorials<\/strong><\/td>\n<td data-col-size=\"sm\" data-start=\"2283\" data-end=\"2314\">Visual + audio memory aid<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div class=\"sticky end-(--thread-content-margin) h-0 self-end select-none\">\n<div class=\"absolute end-0 flex items-end\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<hr data-start=\"2316\" data-end=\"2319\" \/>\n<h2 data-start=\"2321\" data-end=\"2368\">\ud83e\uddfe <strong data-start=\"2327\" data-end=\"2368\">Free Practice Topics (With Examples):<\/strong><\/h2>\n<div class=\"_tableContainer_16hzy_1\">\n<div class=\"_tableWrapper_16hzy_14 group flex w-fit flex-col-reverse\">\n<table class=\"w-fit min-w-(--thread-content-width)\" data-start=\"2370\" data-end=\"2734\">\n<thead data-start=\"2370\" data-end=\"2430\">\n<tr data-start=\"2370\" data-end=\"2430\">\n<th data-start=\"2370\" data-end=\"2396\" data-col-size=\"sm\">Topic<\/th>\n<th data-start=\"2396\" data-end=\"2430\" data-col-size=\"sm\">Type of Question<\/th>\n<\/tr>\n<\/thead>\n<tbody data-start=\"2491\" data-end=\"2734\">\n<tr data-start=\"2491\" data-end=\"2551\">\n<td data-start=\"2491\" data-end=\"2517\" data-col-size=\"sm\">Missing Number<\/td>\n<td data-col-size=\"sm\" data-start=\"2517\" data-end=\"2551\">4, 9, 16, ?, 36<\/td>\n<\/tr>\n<tr data-start=\"2552\" data-end=\"2612\">\n<td data-start=\"2552\" data-end=\"2578\" data-col-size=\"sm\">Odd One Out<\/td>\n<td data-col-size=\"sm\" data-start=\"2578\" data-end=\"2612\">Apple, Banana, Orange, Carrot<\/td>\n<\/tr>\n<tr data-start=\"2613\" data-end=\"2673\">\n<td data-start=\"2613\" data-end=\"2639\" data-col-size=\"sm\">Letter Series<\/td>\n<td data-col-size=\"sm\" data-start=\"2639\" data-end=\"2673\">A, C, E, ?, I<\/td>\n<\/tr>\n<tr data-start=\"2674\" data-end=\"2734\">\n<td data-start=\"2674\" data-end=\"2700\" data-col-size=\"sm\">Clock Puzzle<\/td>\n<td data-col-size=\"sm\" data-start=\"2700\" data-end=\"2734\">What is the angle at 3:15?<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div class=\"sticky end-(--thread-content-margin) h-0 self-end select-none\">\n<div class=\"absolute end-0 flex items-end\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<hr data-start=\"2736\" data-end=\"2739\" \/>\n<h2 data-start=\"2741\" data-end=\"2757\">\ud83c\udf81 Want More?<\/h2>\n<p data-start=\"2759\" data-end=\"2773\">I can prepare:<\/p>\n<ul data-start=\"2774\" data-end=\"2961\">\n<li data-start=\"2774\" data-end=\"2825\">\n<p data-start=\"2776\" data-end=\"2825\">\ud83d\udcc4 A <strong data-start=\"2781\" data-end=\"2800\">PDF cheat-sheet<\/strong> of formulas and tricks<\/p>\n<\/li>\n<li data-start=\"2826\" data-end=\"2877\">\n<p data-start=\"2828\" data-end=\"2877\">\ud83d\udcd8 A 30-day study planner for reasoning + quant<\/p>\n<\/li>\n<li data-start=\"2878\" data-end=\"2920\">\n<p data-start=\"2880\" data-end=\"2920\">\ud83c\udfa5 A Hindi\/English video tutorial list<\/p>\n<\/li>\n<li data-start=\"2921\" data-end=\"2961\">\n<p data-start=\"2923\" data-end=\"2961\">\ud83d\udcca Live quiz sheets for daily practice<\/p>\n<\/li>\n<\/ul>\n<p data-start=\"2963\" data-end=\"3015\" data-is-last-node=\"\" data-is-only-node=\"\">Just tell me your exam type and language preference!<\/p>\n<h3><a href=\"https:\/\/ugcportal.com\/raman-files\/Reasoning%20Shortcut%20Tricks.pdf\" target=\"_blank\" rel=\"noopener\">Basic Concepts Math&#8217;s Reasoning Speed Tricks &amp;amp; Shortcuts For Competition Exams<\/a><\/h3>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Basic Concepts Maths Reasoning Speed Tricks Short Cuts for Competition Exams aptitude shortcuts and mind tricks Mathematical Reasoning Tricks maths shortcut tricks for competitive exam. FAST MATHS TRICK SPEED MATHS ALL COMPETITIVE Speed Maths Trick for Competitive Maths Fast Speed Tricks.Fast Maths Tricks and Shortcuts Bank Exams Mathematics Tricks &amp; Shortcuts For Competitive Exams Improve Speed and Accuracy in Maths Problems maths reasoning question solve in less time<\/p>\n","protected":false},"author":64,"featured_media":2330,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1994],"tags":[1985,1986,1987,1988,1989,1990,1991,1992,1993,1995,1472,1996,1997,1998,1999,2000,2001,2002],"class_list":["post-2329","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-maths-reasoning","tag-aptitude-shortcuts-and-mind-tricks","tag-basic-concepts-maths-reasoning-speed-tricks","tag-fast-maths-trick-speed-maths-all-competitive","tag-fast-maths-tricks-and-shortcuts-bank-exams","tag-improve-speed-and-accuracy-in-maths-problems","tag-math-tricks","tag-mathematical-reasoning-tricks","tag-mathematics-tricks-shortcuts-for-competitive-exams","tag-maths-fast-speed-tricks","tag-maths-reasoning-question-solve-in-less-time","tag-maths-shortcut-tricks-for-competitive-exam","tag-maths-tricks-for-competitive-exams-videos","tag-maths-tricks-for-fast-calculation","tag-quick-maths-tricks-for-competitive-exams","tag-shortcuts-for-competition-exams","tag-speed-maths-for-bank-exams-pdf","tag-speed-maths-trick-for-competitive","tag-speed-maths-tricks-pdf"],"_links":{"self":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts\/2329","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/users\/64"}],"replies":[{"embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/comments?post=2329"}],"version-history":[{"count":0,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/posts\/2329\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/media\/2330"}],"wp:attachment":[{"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/media?parent=2329"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/categories?post=2329"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.reilsolar.com\/pdf\/wp-json\/wp\/v2\/tags?post=2329"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}