{"id":2266,"date":"2025-06-06T03:33:29","date_gmt":"2025-06-06T03:33:29","guid":{"rendered":"https:\/\/diznr.com\/?p=2266"},"modified":"2025-06-06T03:33:29","modified_gmt":"2025-06-06T03:33:29","slug":"mathematics-aptitude-tricks-and-shortcuts-for-competitive-exam-ssc-bank-railway-and-exams-other","status":"publish","type":"post","link":"https:\/\/www.reilsolar.com\/pdf\/mathematics-aptitude-tricks-and-shortcuts-for-competitive-exam-ssc-bank-railway-and-exams-other\/","title":{"rendered":"Mathematics Aptitude Tricks and Shortcuts For Competitive Exam SSC, Bank, Railway and Other Exams"},"content":{"rendered":"

Video Lecture is being provided to all of you for Math Aptitude Short Trick so that you can understand the Short Tricks of Mathematics through Video Lecture and you can use it in your Competitive Examination. Solving the Mathematics questions in the exam is also very important to solve the questions in a short time. To qualify any exam well, it is very important to solve the questions in a short time and this is only possible. When we know how to solve the questions through short tricks, we will tell you the short tricks of mathematics through this video lecture which will be useful in all other competitive examinations like your UPSC SSC banking railway, to solve your interview questions.<\/p>\n

Maths Tricks and Shortcuts For Competitive Exams<\/span><\/h2>\n

Can be used for solving interviews and interview questions, we know what has become the subject in today’s time which has become necessary in any government job or private job because Through you, the intensity of the mind of the students is checked that the brain moves, how quickly he can think on anything and solve it quickly, then we will give you Mathematics tricks Mathematics formula Math exercises so that you You can also do well in the exam.<\/p>\n

Quantitative Aptitude Math Shortcut Tricks Video Lecture<\/span><\/h2>\n\n

For Math, you have been able to understand the things given by us along with us. There is a very fast way to solve mathematics questions. For sure you have to practice, the more you practice, the more you will be able to create a very good command on mathematics and you have made a very good command, then surely mathematics will be your sweet and better subject.<\/p>\n

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Mathematics Aptitude Tricks and Shortcuts for Competitive Exams (SSC, Bank, Railway, etc.)<\/strong><\/h3>\n

Mathematics is a crucial section in SSC, Banking, Railway, and other competitive exams<\/strong>. To score well, mastering shortcuts, tricks, and mental math techniques<\/strong> can save valuable time. Below are some essential tricks for fast calculations and problem-solving.<\/p>\n

\u00a01. Speed Multiplication Tricks<\/strong><\/h3>\n

Multiplication by 5<\/strong><\/h3>\n

Rule:<\/strong> Multiply by 10 and divide by 2.
Example:<\/strong>
\u00a046 \u00d7 5 = (46 \u00d7 10) \u00f7 2 = 230<\/strong><\/p>\n

Multiplication by 9<\/strong><\/h3>\n

Rule:<\/strong> Multiply by 10 and subtract the number.
Example:<\/strong>
\u00a023 \u00d7 9 = (23 \u00d7 10) – 23 = 207<\/strong><\/p>\n

Multiplication by 11<\/strong><\/h3>\n

Rule:<\/strong> Add the digits and place the sum in the middle.
Example:<\/strong>
\u00a036 \u00d7 11 = 3 (3+6) 6 = 396<\/strong><\/p>\n

\u00a02. Square and Cube Shortcuts<\/strong><\/h3>\n

Squaring a Number Ending in 5<\/strong><\/h3>\n

Rule:<\/strong> Multiply the first digit by itself +1, then append 25<\/strong>.
Example:<\/strong>
352=3\u00d74\u222325=\u2217\u22171225\u2217\u221735^2 = 3 \u00d7 4 \\mid 25 = **1225**<\/span>3<\/span>52<\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>3<\/span>\u00d7<\/span><\/span>4<\/span>\u2223<\/span><\/span>25<\/span>=<\/span><\/span>\u2217<\/span>\u2217<\/span><\/span>1225<\/span>\u2217<\/span><\/span>\u2217<\/span><\/span><\/span><\/span>
752=7\u00d78\u222325=\u2217\u22175625\u2217\u221775^2 = 7 \u00d7 8 \\mid 25 = **5625**<\/span>7<\/span>52<\/span><\/span><\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>7<\/span>\u00d7<\/span><\/span>8<\/span>\u2223<\/span><\/span>25<\/span>=<\/span><\/span>\u2217<\/span>\u2217<\/span><\/span>5625<\/span>\u2217<\/span><\/span>\u2217<\/span><\/span><\/span><\/span><\/p>\n

Finding the Square of Any Number (Vedic Method)<\/strong><\/h3>\n

Example:<\/strong> Find 43243^2<\/span>4<\/span>32<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>.
\u00a0Break as: (40+3)2(40 + 3)^2<\/span>(<\/span>40<\/span>+<\/span><\/span>3<\/span>)2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>
=402+2(40\u00d73)+32= 40^2 + 2(40\u00d73) + 3^2<\/span>=<\/span><\/span>4<\/span>02<\/span><\/span><\/span><\/span><\/span><\/span><\/span>+<\/span><\/span>2<\/span>(<\/span>40<\/span>\u00d7<\/span><\/span>3<\/span>)<\/span>+<\/span><\/span>32<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>
=1600+240+9=\u2217\u22171849\u2217\u2217= 1600 + 240 + 9 = **1849**<\/span>=<\/span><\/span>1600<\/span>+<\/span><\/span>240<\/span>+<\/span><\/span>9<\/span>=<\/span><\/span>\u2217<\/span>\u2217<\/span><\/span>1849<\/span>\u2217<\/span><\/span>\u2217<\/span><\/span><\/span><\/span><\/p>\n

\u00a03. Quick Percentage Tricks<\/strong><\/h3>\n

Finding 5% of a number<\/strong> \u2192 Divide by 20.
Finding 10% of a number<\/strong> \u2192 Divide by 10.
Finding 15% of a number<\/strong> \u2192 Find 10% and add half of it.<\/p>\n

Example:<\/strong> Find 15% of 240
\u00a010% = 24, Half of 10% = 12
\u00a015% = 24 + 12 = 36<\/strong><\/p>\n

\u00a04. Fastest Way to Solve Ratio & Proportion<\/strong><\/h3>\n

Shortcut for Mixing Solutions<\/strong> (Alligation Method)
Example:<\/strong> A shopkeeper mixes 5 kg of rice at \u20b940 per kg with 3 kg of rice at \u20b960 per kg. Find the average price per kg.<\/p>\n

Formula:<\/strong><\/p>\n

(40\u00d75)+(60\u00d73)(5+3)\\frac{(40 \u00d7 5) + (60 \u00d7 3)}{(5+3)}<\/span>(<\/span>5+<\/span>3)<\/span>(<\/span>40\u00d7<\/span>5)<\/span>+<\/span>(<\/span>60\u00d7<\/span>3)<\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span> =200+1808=3808=47.5= \\frac{200 + 180}{8} = \\frac{380}{8} = \\mathbf{47.5}<\/span>=<\/span><\/span>8200+<\/span>180<\/span>\u200b<\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>8380<\/span>\u200b<\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>47.5<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

\u00a05. Time, Speed, and Distance Tricks<\/strong><\/h3>\n

Speed Conversion:<\/strong><\/h3>\n

1 km\/hr = 5\/18 m\/s<\/strong>
1 m\/s = 18\/5 km\/hr<\/strong><\/p>\n

Example:<\/strong> Convert 72 km\/hr to m\/s
72\u00d7518=2072 \u00d7 \\frac{5}{18} = 20<\/span>72<\/span>\u00d7<\/span><\/span>18<\/span><\/span>5<\/span><\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>20<\/span><\/span><\/span><\/span> m\/s<\/p>\n

\u00a06. Simple Interest & Compound Interest<\/strong><\/h3>\n

Simple Interest (SI) Formula:<\/strong><\/h3>\n

SI=P\u00d7R\u00d7T100SI = \\frac{P \u00d7 R \u00d7 T}{100}<\/span>S<\/span>I<\/span>=<\/span><\/span>100P<\/span>\u00d7<\/span>R<\/span>\u00d7<\/span>T<\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

Shortcut:<\/strong> For 2 years,<\/p>\n

SI=P\u00d7R\u00d7T100SI = P \u00d7 R \u00d7 \\frac{T}{100}<\/span>S<\/span>I<\/span>=<\/span><\/span>P<\/span>\u00d7<\/span><\/span>R<\/span>\u00d7<\/span><\/span>100T<\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

Example:<\/strong> Find SI for \u20b95000 at 8% for 2 years.<\/p>\n

SI=5000\u00d78\u00d72100=800SI = 5000 \u00d7 8 \u00d7 \\frac{2}{100} = \\mathbf{800}<\/span>S<\/span>I<\/span>=<\/span><\/span>5000<\/span>\u00d7<\/span><\/span>8<\/span>\u00d7<\/span><\/span>1002<\/span>\u200b<\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>800<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

Compound Interest Shortcut (CI for 2 years)<\/strong><\/h3>\n

CI=P\u00d7(1+R100)T\u2212PCI = P \\times \\left(1 + \\frac{R}{100}\\right)^T – P<\/span>C<\/span>I<\/span>=<\/span><\/span>P<\/span>\u00d7<\/span><\/span>(<\/span><\/span>1<\/span>+<\/span>100R<\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>)<\/span><\/span>T<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u2212<\/span><\/span>P<\/span><\/span><\/span><\/span><\/span><\/p>\n

Formula for 2 years:<\/strong><\/p>\n

CI=SI+SI\u00d7R100CI = SI + \\frac{SI \\times R}{100}<\/span>C<\/span>I<\/span>=<\/span><\/span>S<\/span>I<\/span>+<\/span><\/span>100S<\/span>I<\/span>\u00d7<\/span>R<\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

Example:<\/strong> \u20b95000 at 8% for 2 years<\/p>\n

CI=800+800\u00d78100=800+64=864CI = 800 + \\frac{800 \u00d7 8}{100} = 800 + 64 = \\mathbf{864}<\/span>C<\/span>I<\/span>=<\/span><\/span>800<\/span>+<\/span><\/span>100800\u00d7<\/span>8<\/span>\u200b<\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>800<\/span>+<\/span><\/span>64<\/span>=<\/span><\/span>864<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

\u00a07. Probability & Permutation-Combination Tricks<\/strong><\/h3>\n

Probability Formula:<\/strong><\/h3>\n

P(E)=Favorable\u00a0OutcomesTotal\u00a0OutcomesP(E) = \\frac{\\text{Favorable Outcomes}}{\\text{Total Outcomes}}<\/span>P<\/span>(<\/span>E<\/span>)<\/span>=<\/span><\/span>Total\u00a0Outcomes<\/span>Favorable\u00a0Outcomes<\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

Example:<\/strong> If a bag contains 4 red and 6 blue balls, what is the probability of drawing a red ball?<\/p>\n

P(R)=44+6=410=0.4P(R) = \\frac{4}{4+6} = \\frac{4}{10} = \\mathbf{0.4}<\/span>P<\/span>(<\/span>R<\/span>)<\/span>=<\/span><\/span>4+<\/span>64<\/span>\u200b<\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>104<\/span>\u200b<\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>0.4<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

Permutation vs Combination Shortcut<\/strong><\/h3>\n

Permutation (Order matters):<\/strong><\/p>\n

P(n,r)=n!(n\u2212r)!P(n,r) = \\frac{n!}{(n-r)!}<\/span>P<\/span>(<\/span>n<\/span>,<\/span>r<\/span>)<\/span>=<\/span><\/span>(<\/span>n<\/span>\u2212<\/span>r<\/span>)!<\/span>n<\/span>!<\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

Combination (Order doesn\u2019t matter):<\/strong><\/p>\n

C(n,r)=n!r!(n\u2212r)!C(n,r) = \\frac{n!}{r!(n-r)!}<\/span>C<\/span>(<\/span>n<\/span>,<\/span>r<\/span>)<\/span>=<\/span><\/span>r<\/span>!<\/span>(<\/span>n<\/span>\u2212<\/span>r<\/span>)!<\/span>n<\/span>!<\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

Example:<\/strong> Selecting 2 students from a group of 5:<\/p>\n

C(5,2)=5!2!(5\u22122)!=5\u00d742\u00d71=10C(5,2) = \\frac{5!}{2!(5-2)!} = \\frac{5\u00d74}{2\u00d71} = \\mathbf{10}<\/span>C<\/span>(<\/span>5<\/span>,<\/span>2<\/span>)<\/span>=<\/span><\/span>2!<\/span>(<\/span>5\u2212<\/span>2)!<\/span>5!<\/span><\/span>\u200b<\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>2\u00d7<\/span>15\u00d7<\/span>4<\/span>\u200b<\/span><\/span><\/span><\/span><\/span>=<\/span><\/span>10<\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n

\u00a08. Shortcut for Calendar Problems<\/strong><\/h3>\n

Key Codes:<\/strong><\/p>\n