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Maths : How To Calculate/Multiply Fast in Competitive Exams - Tricks

<div dir="ltr" style="text-align: left;" trbidi="on"><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhPNvnn7ltmHPQwWtvIaXvmzMwtCewvR3ArvnE9lfOVdKSHCf3FCFsjjWKwr_GLlJBQEsQip02p4N4A-ae6xw4eLitpBNGoW5ZfTBfrvEarVtKbUHN2R-645_h1ZHoEGWv4uYBNLMBSCgc/s1600/16+Easy+Quantitative+Aptitude+shortcut+tricks+for+all+competitive+exams.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="226" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhPNvnn7ltmHPQwWtvIaXvmzMwtCewvR3ArvnE9lfOVdKSHCf3FCFsjjWKwr_GLlJBQEsQip02p4N4A-ae6xw4eLitpBNGoW5ZfTBfrvEarVtKbUHN2R-645_h1ZHoEGWv4uYBNLMBSCgc/s1600/16+Easy+Quantitative+Aptitude+shortcut+tricks+for+all+competitive+exams.jpg" width="320" /></a></div> <div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjSdD1RyHGNn4pOyQ8JEdCIe8Nwxg6865j4Rg1chpPF-NpWMT4o1B4dT1HUV4PwW39J59Oa-T5fq-I61xpwX1a3wxCwdfkeTluGqs93N_hI2Os1ka9p5EihSLoPwCVdY8_Mvteib2lylG0/s1600/280px-Tricks-logo.svg.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjSdD1RyHGNn4pOyQ8JEdCIe8Nwxg6865j4Rg1chpPF-NpWMT4o1B4dT1HUV4PwW39J59Oa-T5fq-I61xpwX1a3wxCwdfkeTluGqs93N_hI2Os1ka9p5EihSLoPwCVdY8_Mvteib2lylG0/s1600/280px-Tricks-logo.svg.png" /></a></div> <div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhYeP80nanAS-MIXgUmIzB78456bAzlFi6etiHYvzJdKgg4LSkCR1l7phz2LqUAGsH-wXBQqbArj8ROIML6lMBRWbmhjkx-JVNli3dzhjY1I4vDVcPrr9Dh7a9ZMyuo7WCfFIqtrRqnRkA/s1600/tips.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhYeP80nanAS-MIXgUmIzB78456bAzlFi6etiHYvzJdKgg4LSkCR1l7phz2LqUAGsH-wXBQqbArj8ROIML6lMBRWbmhjkx-JVNli3dzhjY1I4vDVcPrr9Dh7a9ZMyuo7WCfFIqtrRqnRkA/s1600/tips.jpg" /></a></div><div class="MsoNormal" style="background: white; margin-top: 9pt; mso-outline-level: 3;"> </div><div class="MsoNormal" style="background: white; margin-top: 9pt; mso-outline-level: 3;"> </div><div class="MsoNormal" style="background: white; margin-top: 9pt; mso-outline-level: 3;"> </div><div align="center" class="MsoNormal" style="background: white; text-align: center;">MATHEMATICS<o:p></o:p></div><div align="center" class="MsoNormal" style="background: white; text-align: center;"> </div><div class="MsoNormal" style="background: white;">Whenever we are going to solve any competitive exam`s  questions  paper we have four subjects to solve: -<o:p></o:p></div><div class="MsoNormal" style="background: white;">1. Computer  <o:p></o:p></div><div class="MsoNormal" style="background: white;">2. English  <o:p></o:p></div><div class="MsoNormal" style="background: white;">3. General knowledge   <o:p></o:p></div><div class="MsoNormal" style="background: white;">4. Reasoning<o:p></o:p></div><div class="MsoNormal" style="background: white;">5. Mathematics  <o:p></o:p></div><div align="center" class="MsoNormal" style="background: white; text-align: center;"> </div><div class="MsoNormal" style="background: white;">            Dear friends, when we are fighting any competitive exam, whether it is <a href="http://www.ibps.in/">IBPS</a>, <a href="http://www.ssc.nic.in/">SSC</a> or any other competitive exam,  the problem comes when we face a shortage of time. That’s why we have all the answers, but we can’t answer.  So how can we solve our problem? Why do not we pay much less time to solve question. Especially this problem comes  in Mathematics where we have to solve a lots of question in short time. Most of our time consumes in calculating the numbers. To solve mathematics in short time firstly we have to learn how to calculate easily.<o:p></o:p></div><div class="MsoNormal" style="background: white;">  Now you will ask how, Here I am telling you how to calculate fast in second.<o:p></o:p></div><div class="MsoNormal" style="background: white;"> </div><div class="MsoNormal" style="background: white;">                         <o:p></o:p></div><div class="MsoNormal" style="background: white;">In mathematics addition and subtraction is easy, but multiplication is so time consuming. So why do not we make it simple and easy. How????????? Let’s know…………<o:p></o:p></div><div class="MsoNormal" style="background: white;">Multiplication: -<o:p></o:p></div><div class="MsoNormal" style="background: white;">Multiply the Two Digit numbers:-<o:p></o:p></div><div align="center" class="MsoNormal" style="background: white; text-align: center;"> </div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjsK5CzTk5n1LKvMX7b005Xe3SbSMdmuHYqcP17ihYT4dyMFb0LRtrs8LeF4majZAzEFX3sWr_2S7WuPBCenhaC8Wow4O4FQ6NNXvW3N863QGuOcRpmNgRB9OZUWMr6zIU310EbbrdPYs0/s1600/www.topnaukrialert.com.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="240" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjsK5CzTk5n1LKvMX7b005Xe3SbSMdmuHYqcP17ihYT4dyMFb0LRtrs8LeF4majZAzEFX3sWr_2S7WuPBCenhaC8Wow4O4FQ6NNXvW3N863QGuOcRpmNgRB9OZUWMr6zIU310EbbrdPYs0/s1600/www.topnaukrialert.com.png" width="320" /></a></div><div align="center" class="MsoNormal" style="background: white; text-align: center;">  <o:p></o:p></div><div class="MsoNormal" style="background: white; text-indent: -0.25in;">      1. First we are taking two two-digit numbers AB and CD. <o:p></o:p></div><div class="MsoNormal" style="background: white; text-indent: -0.25in;">      2. Now, the digit of unit of the first number multiplied by the digit of unit of the second number.<o:p></o:p></div><div class="MsoNormal" style="background: white; text-indent: -0.25in;">      3. Then, the ten-digit of the first number multiplied by the first digit of unit of the second number and then the ten-digit of the second number multiplied by the first digit of unit of the first number then plus them.<o:p></o:p></div><div class="MsoNormal" style="background: white; text-indent: -0.25in;">      4. Again, the ten-digit of the first number multiplied by the ten-digit of the second number.<o:p></o:p></div><div class="MsoNormal" style="background: white; text-indent: -0.25in;">     Example:-   </div><div class="MsoNormal" style="background: white; text-indent: -0.25in;">           4          3<o:p></o:p></div><div class="MsoNormal" style="background: white; text-indent: -0.25in;">                                                                       <o:p></o:p></div><div class="MsoNormal" style="background: white; text-indent: -0.25in;">  +      7           5<o:p></o:p></div><div class="MsoNormal" style="background: white; text-indent: -0.25in;">      _____________       <o:p></o:p></div><div class="MsoNormal" style="background: white; text-indent: -0.25in;">              3225<o:p></o:p></div><div class="MsoNormal" style="background: white; text-indent: -0.25in;">      _____________<o:p></o:p></div><div class="MsoNormal" style="background: white; text-indent: -0.25in;">          3 x 5 = 15<o:p></o:p></div><div class="MsoNormal" style="background: white; text-indent: -0.25in;">          carry =  1<o:p></o:p></div><div class="MsoNormal" style="background: white; text-indent: -0.25in;">          4 x 5 = 20<o:p></o:p></div><div class="MsoNormal" style="background: white; text-indent: -0.25in;">         7 x 3 = 21<o:p></o:p></div><div class="MsoNormal" style="background: white; text-indent: -0.25in;">   +  _________<o:p></o:p></div><div class="MsoNormal" style="background: white; text-indent: -0.25in;">            42<o:p></o:p></div><div class="MsoNormal" style="background: white; text-indent: -0.25in;">        Carry =  4<o:p></o:p></div><div class="MsoNormal" style="background: white; text-indent: -0.25in;">        4 x 7 = 28<o:p></o:p></div><div class="MsoNormal" style="background: white; text-indent: -0.25in;">  + __________<o:p></o:p></div><div class="MsoNormal" style="background: white; text-indent: -0.25in;">           32<o:p></o:p></div><div class="MsoNormal" style="background: white; text-indent: -0.25in;"> </div><div class="MsoNormal" style="background: white; text-indent: -0.25in;">    For the three-digit number:- <o:p></o:p></div><div class="MsoNormal" style="background: white; text-indent: -0.25in;">                   A          B          C<o:p></o:p></div><div class="MsoNormal" style="background: white; text-indent: -0.25in;">  </div><div class="MsoNormal" style="background: white; text-indent: -0.25in;">        X <o:p></o:p></div><div class="MsoNormal" style="background: white; text-indent: -0.25in;">                    D         E           F<o:p></o:p></div><div class="MsoNormal" style="background: white; text-indent: -0.25in;">________________________________<o:p></o:p></div><div class="MsoNormal" style="background: white; text-indent: -0.25in;">  AD/AE+BD/BE+AF+CD/BF+CE/CF                                                                                                                <o:p></o:p></div><div class="MsoNormal" style="background: white; text-indent: -0.25in;"> </div><div class="MsoNormal" style="background: white; text-indent: -0.25in;">      earlier you feel that it is something difficult than our regular method of  multiplying because we are not familiar with this method , But when  we regularly calculate with this method you find it is more easy and quick from that of our regular multiplying method.</div>So take example questions of your books and try solving by this method , you will find that this is the most easiest method to multiplication. And you can solve maths paper quickly in any of the competitive exams<div> </div><div> </div><div><div class="MsoNormal" style="background: rgb(252, 254, 255); mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">For multiplication by 5, you should multiply the figure given by 10 and then divide it by 2.<o:p></o:p></div><div class="MsoNormal" style="background: rgb(252, 254, 255); mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">e.g. 12986 × 5 = 129860/2 = 64930.<o:p></o:p></div><div class="MsoNormal" style="background: rgb(252, 254, 255); mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"> </div><div class="MsoNormal" style="background: rgb(252, 254, 255); mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">For multiplication by 25, you should multiply the figure given by 100 and then divide it by 4.<o:p></o:p></div><div class="MsoNormal" style="background: rgb(252, 254, 255); mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">e.g. 12986 × 25 = 1298600/4 = 324650.<o:p></o:p></div><div class="MsoNormal" style="background: rgb(252, 254, 255); mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"> </div><div class="MsoNormal" style="background: rgb(252, 254, 255); mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">For multiplication by 125, you should multiply the figure given by 1000 and then divide it by 8.<o:p></o:p></div><div class="MsoNormal" style="background: rgb(252, 254, 255); mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"> </div><div class="MsoNormal" style="background: rgb(252, 254, 255); mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"> </div><div class="MsoNormal" style="background: rgb(252, 254, 255); mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;"><div dir="ltr" style="font-family: Helvetica, Arial, sans-serif; font-size: 14px;" trbidi="on">Jobklix provides you recruitment notifications only you should refer official website of related department. 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Maths : How To Calculate/Multiply Fast in Competitive Exams - Tricks

MATHEMATICS Whenever we are going to solve any competitive exam`s questions paper we have four subjects to solve: - 1. Computer 2. Eng...

100 Quantitative Aptitude Shortcut Tricks with practice - Multiplying numbers just over hundred

<div dir="ltr" style="text-align: left;" trbidi="on"><h1 style="text-align: left;">100 Quantitative Aptitude Shortcut Tricks with practice - Multiplying numbers just over hundred</h1><div class="MsoNormal"> </div><div class="MsoNormal">Multiplying numbers just over 100.<o:p></o:p></div><div class="MsoNormal"> </div><div class="MsoNormal">108 x 109 = 11772<o:p></o:p></div><div class="MsoNormal"> </div><div class="MsoNormal">The answer is in two parts: 117 and 72,<o:p></o:p></div><div class="MsoNormal">117 is just 108 + 9 (or 109 + 8),<o:p></o:p></div><div class="MsoNormal">and 72 is just 8 x 9.<o:p></o:p></div><div class="MsoNormal"> </div><div class="MsoNormal">Similarly 107 x 106 = 11342<o:p></o:p></div><div class="MsoNormal">                109 x 105 = 11445<o:p></o:p></div><div class="MsoNormal">                102 x 108 = 11016</div><div class="MsoNormal">                105 x 115 = 12075</div><div class="MsoNormal">                105 x 108 = 11340</div><div class="MsoNormal">                109 x 102 = 11118</div><div class="MsoNormal">                     </div><div class="MsoNormal"> </div><div class="MsoNormal"> </div><div class="MsoNormal">HOW USEFUL IS THIS CALCULATION!<o:p></o:p></div><div class="MsoNormal"> </div><div class="MsoNormal">EXAMPLE:<o:p></o:p></div><div class="MsoNormal"> </div><div class="MsoNormal">Compute the amount and the compound intrest on Rs 10000.00 on 2.years at4%per annum.<o:p></o:p></div><div class="MsoNormal"> </div><div class="MsoNormal"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjsPqLv4sHVG5IhJgBcOH36PZN3A_9B9VSpnPdwDNc9dBVoPcZx145dGjpyn16E5L73lvNCaTnO6Q2SSl6BbvtnJHfQkQZHN9GvYEpbAU3pZ5AYS8EUN_ettnWYYBgZeW8uZMXWLAtQxZ0/s1600/maths-short-tricks@www.topnaukrialert.com.jpg" style="clear: left; margin-bottom: 1em; margin-right: 1em; text-align: center;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjsPqLv4sHVG5IhJgBcOH36PZN3A_9B9VSpnPdwDNc9dBVoPcZx145dGjpyn16E5L73lvNCaTnO6Q2SSl6BbvtnJHfQkQZHN9GvYEpbAU3pZ5AYS8EUN_ettnWYYBgZeW8uZMXWLAtQxZ0/s1600/maths-short-tricks@www.topnaukrialert.com.jpg" /></a></div><div class="MsoNormal"><o:p></o:p></div><div class="MsoNormal"> </div><div class="MsoNormal">Now 4x4=16 and 4+4=8 put 10 it becomes Rs 10816.00<o:p></o:p></div><div class="MsoNormal">How simple ! no calculation no extra time !<o:p></o:p></div><div class="MsoNormal"> </div><div class="MsoNormal"> </div><div class="MsoNormal">Practice Set<o:p></o:p></div><div class="MsoNormal"> </div><div class="MsoNormal">Solve mentally these questions<o:p></o:p></div><div class="MsoNormal">Note down your calculation time by watch<o:p></o:p></div><div class="MsoNormal">(Suggested time 90 seconds)<o:p></o:p></div><div class="MsoNormal"> </div><div class="MsoNormal">102 X 102            103 X 105              108 X 104<o:p></o:p></div><div class="MsoNormal">101 X 102            102 X 103              <o:p></o:p>103 X 104</div><div class="MsoNormal">104 X 105            105 X 106              <o:p></o:p>107 X 108</div><div class="MsoNormal">108 X 109            109 X 109              <o:p></o:p>107 X 107</div><div class="MsoNormal"> </div><div class="MsoNormal"> </div><div class="MsoNormal">Subscribe Free!!  for upcoming exams,job notifications,study material,latest walk-ins,latest job fairs,short tricks and more</div><div class="MsoNormal"> </div><div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg3uaXOa84Beu9PcvmxOWlzHkT8nLccN5LDd254SAGgV_pcdH7KRz3M96c7IP36Yi6r4OBHK8fovVYshqBAjTIfS9djN5xxL-WIxZwc1esly1eX5jmfusxR5krUm33464YMCY6Klp_UoY0/s1600/how+to+debug+a+batch+job+in+AS400+steps.png" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg3uaXOa84Beu9PcvmxOWlzHkT8nLccN5LDd254SAGgV_pcdH7KRz3M96c7IP36Yi6r4OBHK8fovVYshqBAjTIfS9djN5xxL-WIxZwc1esly1eX5jmfusxR5krUm33464YMCY6Klp_UoY0/s1600/how+to+debug+a+batch+job+in+AS400+steps.png" /></a></div> <div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjA1pffk40pnJpAYPigm9m7h8g1HftBEPoX2MqWHtRDCcNi8orBMMLog8g_uvPfBXf3h4mPVo5dveGYWa0ZjexfCigPbI9EjeGxRpsLHFuYFV97UyzjIrqSsQQMwN9q-FN5CWd0A4M3tRc/s1600/top+tips+and+tricks.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjA1pffk40pnJpAYPigm9m7h8g1HftBEPoX2MqWHtRDCcNi8orBMMLog8g_uvPfBXf3h4mPVo5dveGYWa0ZjexfCigPbI9EjeGxRpsLHFuYFV97UyzjIrqSsQQMwN9q-FN5CWd0A4M3tRc/s1600/top+tips+and+tricks.jpg" /></a></div><div class="MsoNormal"> </div><div dir="ltr" style="font-family: Helvetica, Arial, sans-serif; font-size: 14px;" trbidi="on">Jobklix provides you recruitment notifications only you should refer official website of related department. Subscribe Free!!  for upcoming exams, job notifications, study material, latest walk-ins, latest job fairs and more...</div><div style="line-height: normal;"> </div><ul style="margin: 0px; padding: 0px; text-align: justify;"><li style="background-attachment: inherit; background-clip: inherit; background-image: inherit; background-origin: inherit; background-position: inherit; background-repeat: inherit; background-size: inherit; list-style-position: inside; list-style-type: initial; list-style: inside url(http://www.moviecinema.in/img/arrow-right.png); margin: 0px; padding: 10px 25px;"><a href="https://www.facebook.com/jobklix" style="margin: 0px; padding: 0px; text-decoration-line: none;" target="_blank">Like us On FB Page</a></li><li style="background-attachment: inherit; background-clip: inherit; background-image: inherit; background-origin: inherit; background-position: inherit; background-repeat: inherit; background-size: inherit; list-style-position: inside; list-style-type: initial; list-style: inside url(http://www.moviecinema.in/img/arrow-right.png); margin: 0px; padding: 10px 25px;"><a href="https://twitter.com/jobklix" target="_blank">Follow us On Twitter</a></li><li style="background-attachment: inherit; background-clip: inherit; background-image: inherit; background-origin: inherit; background-position: inherit; background-repeat: inherit; background-size: inherit; list-style-position: inside; list-style-type: initial; list-style: inside url(http://www.moviecinema.in/img/arrow-right.png); margin: 0px; padding: 10px 25px;"><a href="https://www.jobklix.blogspot.com/" target="_blank">Upcoming Jobs/Job alerts/Sarkari Naukri/Latest updates</a></li></ul><div class="MsoNormal"> </div></div>

100 Quantitative Aptitude Shortcut Tricks with practice - Multiplying numbers just over hundred

100 Quantitative Aptitude Shortcut Tricks with practice - Multiplying numbers just over hundred Multiplying numbers just over 100. 108 x 109...

16 Easy Quantitative Aptitude short tricks for all competitive exams with practice set Quiz test

<h2 style="text-align: left;">16 Easy Quantitative Aptitude short tricks for all competitive exams with practice set Quiz test</h2><div dir="ltr" style="text-align: left;" trbidi="on"> <div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEho7ouFlywNBb3wqwpJyK7NP3Sl-yv_teOSTKSaj1nktibYoiDnfW8SF6ShnsckMOE46MV-hQvX7fyJWis_MGw61aqqWk6BgeWlzWEe37dlWIQ70odvOx7aihVrWvwedgLC5cou5swzwLs/s1600/exam-tips.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEho7ouFlywNBb3wqwpJyK7NP3Sl-yv_teOSTKSaj1nktibYoiDnfW8SF6ShnsckMOE46MV-hQvX7fyJWis_MGw61aqqWk6BgeWlzWEe37dlWIQ70odvOx7aihVrWvwedgLC5cou5swzwLs/s1600/exam-tips.jpg" /></a></div><div class="separator" style="clear: both; text-align: center;"> </div>(1) Multiplication by 5 It's often more convenient instead of multiplying by 5 to multiply first by 10 and then divide by 2. For example, 137·5=1370/2=685. (2) Division by 5 Similarly, it's often more convenient instead to multiply first by 2 and then divide by 10. For example, 1375/5=2750/10=275. (3) Division/multiplication by 4 Replace either with a repeated operation by 2. For example 124/4=62/2=31. Also, 124·4=248·2=496. (4) Division/multiplication by 25 Use operations with 4 instead. For example, 37·25=3700/4=1850/2=925. (5) Division/multiplication by 8 Replace either with a repeated operation by 2. For example 124·8=248·4=496·2=992. (6) Division/multiplication by 125 Use operations with 8 instead. For example, 37·125=37000/8=18500/4=9250/2=4625. (7) Squaring two digit numbers. You should memorize the first 25 squares: <table border="1" cellpadding="0" class="MsoNormalTable" style="mso-cellspacing: 1.5pt; mso-padding-alt: 1.5pt 1.5pt 1.5pt 1.5pt; width: 100%px;"> <tbody><tr> <td style="padding: 1.5pt; width: 7%;" width="7%"> 1 </td> <td colspan="2" style="padding: 1.5pt; width: 7%;" width="7%"> 2 </td> <td colspan="2" style="padding: 1.5pt; width: 7%;" width="7%"> 3 </td> <td colspan="2" style="padding: 1.5pt; width: 7%;" width="7%"> 4 </td> <td style="padding: 1.5pt; width: 7%;" width="7%"> 5 </td> <td colspan="2" style="padding: 1.5pt; width: 7%;" width="7%"> 6 </td> <td colspan="2" style="padding: 1.5pt; width: 7%;" width="7%"> 7 </td> <td colspan="2" style="padding: 1.5pt; width: 7%;" width="7%"> 8 </td> <td style="padding: 1.5pt; width: 7%;" width="7%"> 9 </td> <td style="padding: 1.5pt; width: 7%;" width="7%"> 10 </td> <td colspan="2" style="padding: 1.5pt; width: 7%;" width="7%"> 11 </td> <td colspan="2" style="padding: 1.5pt; width: 7%;" width="7%"> 12 </td> <td colspan="2" style="padding: 1.5pt; width: 8%;" width="8%"> 13 </td> <td style="padding: 1.5pt; width: 8%;" width="8%"> 14 </td> </tr><tr> <td style="padding: 1.5pt; width: 7%;" width="7%"> 1 </td> <td colspan="2" style="padding: 1.5pt; width: 7%;" width="7%"> 2 </td> <td colspan="2" style="padding: 1.5pt; width: 7%;" width="7%"> 9 </td> <td colspan="2" style="padding: 1.5pt; width: 7%;" width="7%"> 16 </td> <td style="padding: 1.5pt; width: 7%;" width="7%"> 25 </td> <td colspan="2" style="padding: 1.5pt; width: 7%;" width="7%"> 36 </td> <td colspan="2" style="padding: 1.5pt; width: 7%;" width="7%"> 49 </td> <td colspan="2" style="padding: 1.5pt; width: 7%;" width="7%"> 64 </td> <td style="padding: 1.5pt; width: 7%;" width="7%"> 81 </td> <td style="padding: 1.5pt; width: 7%;" width="7%"> 100 </td> <td colspan="2" style="padding: 1.5pt; width: 7%;" width="7%"> 121 </td> <td colspan="2" style="padding: 1.5pt; width: 7%;" width="7%"> 144 </td> <td colspan="2" style="padding: 1.5pt; width: 8%;" width="8%"> 169 </td> <td style="padding: 1.5pt; width: 8%;" width="8%"> 196 </td> </tr><tr> <td colspan="2" style="padding: 1.5pt; width: 9%;" width="9%"> 15 </td> <td colspan="2" style="padding: 1.5pt; width: 9%;" width="9%"> 16 </td> <td colspan="2" style="padding: 1.5pt; width: 9%;" width="9%"> 17 </td> <td colspan="3" style="padding: 1.5pt; width: 9%;" width="9%"> 18 </td> <td colspan="2" style="padding: 1.5pt; width: 9%;" width="9%"> 19 </td> <td colspan="2" style="padding: 1.5pt; width: 9%;" width="9%"> 20 </td> <td colspan="2" style="padding: 1.5pt; width: 9%;" width="9%"> 21 </td> <td colspan="2" style="padding: 1.5pt; width: 9%;" width="9%"> 22 </td> <td colspan="2" style="padding: 1.5pt; width: 9%;" width="9%"> 23 </td> <td colspan="2" style="padding: 1.5pt; width: 9%;" width="9%"> 24 </td> <td colspan="2" style="padding: 1.5pt; width: 10%;" width="10%"> 25 </td> </tr><tr> <td colspan="2" style="padding: 1.5pt; width: 9%;" width="9%"> 225 </td> <td colspan="2" style="padding: 1.5pt; width: 9%;" width="9%"> 256 </td> <td colspan="2" style="padding: 1.5pt; width: 9%;" width="9%"> 289 </td> <td colspan="3" style="padding: 1.5pt; width: 9%;" width="9%"> 324 </td> <td colspan="2" style="padding: 1.5pt; width: 9%;" width="9%"> 361 </td> <td colspan="2" style="padding: 1.5pt; width: 9%;" width="9%"> 400 </td> <td colspan="2" style="padding: 1.5pt; width: 9%;" width="9%"> 441 </td> <td colspan="2" style="padding: 1.5pt; width: 9%;" width="9%"> 484 </td> <td colspan="2" style="padding: 1.5pt; width: 9%;" width="9%"> 529 </td> <td colspan="2" style="padding: 1.5pt; width: 9%;" width="9%"> 576 </td> <td colspan="2" style="padding: 1.5pt; width: 10%;" width="10%"> 625 </td> </tr><tr height="0"> <td style="border: none;" width="52"></td> <td style="border: none;" width="16"></td> <td style="border: none;" width="37"></td> <td style="border: none;" width="30"></td> <td style="border: none;" width="23"></td> <td style="border: none;" width="44"></td> <td style="border: none;" width="9"></td> <td style="border: none;" width="51"></td> <td style="border: none;" width="9"></td> <td style="border: none;" width="44"></td> <td style="border: none;" width="23"></td> <td style="border: none;" width="30"></td> <td style="border: none;" width="37"></td> <td style="border: none;" width="16"></td> <td style="border: none;" width="51"></td> <td style="border: none;" width="51"></td> <td style="border: none;" width="16"></td> <td style="border: none;" width="37"></td> <td style="border: none;" width="30"></td> <td style="border: none;" width="23"></td> <td style="border: none;" width="44"></td> <td style="border: none;" width="16"></td> <td style="border: none;" width="59"></td> </tr></tbody></table><div class="MsoNormal"> </div><div style="margin-left: 0.5in; mso-list: l0 level1 lfo1; tab-stops: list .5in; text-indent: -0.25in;">·         Squares of numbers from 26 through 50. Let A be such a number. Subtract 25 from A to get x. Subtract x from 25 to get, say, a. Then A2=a2+100x. For example, if A=26, then x=1 and a=24. Hence 262=242+100=676. Similarly, if A=37, then x=37-25=12, and a=25-12=13. Therefore, 372=132+100·12=1200+169=1369. Why does this work? (25+x)2-(25-x)2=[(25+x)+(25-x)]·[(25+x)-(25-x)]=50·2x=100x. </div><div style="margin-left: 0.5in; mso-list: l0 level1 lfo1; tab-stops: list .5in; text-indent: -0.25in;">·         Squares of numbers from 51 through 99. The idea is the same as above. (50+x)2-(50-x)2=100·2x=200x. For example, 632=372+200·13= 1369+2600=3969. </div><div style="margin-left: 0.5in; mso-list: l0 level1 lfo1; tab-stops: list .5in; text-indent: -0.25in;">·         Squares of numbers from 51 through 99, second approach (this one was communicated to me by my father Moisey Bogomolny). We are looking to compute A2, where A=50+a. Instead compute 100·(25+a) and add a2. Example: 572. a=57-50=7. 25+7=32. Append 49=72. Answer: 572=3249. </div><div style="margin-left: 0.5in; mso-list: l0 level1 lfo1; tab-stops: list .5in; text-indent: -0.25in;">·         In general, a2 = (a + b)(a - b) + b2. Let a be 57 and, again, we wish to compute 572. Let b = 3. Then 572 = (57 + 3)(57 - 3) + 32, or 572 = 60·54 + 9 = 3240 + 9 = 3249. </div> (8) Squares of numbers that end with 5. Let A=10a+5. Then A2=(10a+5)2=100a2+2·10a·5+25=100a(a+1)+25. For example, to compute 1152, where a=11, first compute 11·(11+1)=11·12=132 (since 3=1+2). Next, append 25 to the right of 132 to get 13225! Another example, to compute 2452, let a=24. Then 24·(24+1)=242+24=576+24=600. Therefore 2452=60025. Here is another way to compute 24·25: 24·25=2400/4=1200/2=600. The rule naturally applies to 2-digit numbers as well. 752=5625 (since 7·8=56). (9) Product of two one-digit numbers greater than 5. This is a rule that helps remember a big part of the multiplication table. Assume you forgot the product 7·9. Do this. First find the access of each of the multiples over 5: it's 2 for 7 (7 - 5 = 2) and 4 for 9 (9 - 5 = 4). Add them up to get 6 = 2 + 4. Now find the complements of these two numbers to 5: it's 3 for 2 (5 - 2 = 3) and 1 for 4 (5 - 4 = 1). Remember their product 3 = 3·1. Lastly, combine thus obtained two numbers (6 and 3) as 63 = 6·10 + 3. The explanation comes from the following formula: <div class="MsoNormal">(5 + a)(5 + b) = 10(a + b) + (5 - a)(5 - b) </div>In our example, a = 2 and b = 4. (10) Product of two 2-digit numbers. <div style="margin-left: 0.5in; mso-list: l1 level1 lfo2; tab-stops: list .5in; text-indent: -0.25in;">·         If the numbers are not too far apart, and their difference is even, one might use the well known formula (a+n)(a-n)=a2-n2. a here is the average of the two numbers. For example, 28·24=262-22=676-4=672 since 26=(24+28)/2. Also, 19·31=252-62=625-36=589 since 25=(19+31)/2. </div><div style="margin-left: 0.5in; mso-list: l1 level1 lfo2; tab-stops: list .5in; text-indent: -0.25in;">·         If the difference is odd use either n(m+1)=nm+n or n(m-1)=nm-n. Example 37·34=37·35-37=362-12-37=1296-1-37=1258. On the other hand, 37·34=37·33+37=352-22+37=1225-4+37=1258. </div> <div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiWUKzqpxCL8SjEMzUZN70_9fWNZ8vJDSAFlFCSrEzwozkK0hOHGXOUAMajuMEQUVrTrIdkHaD3Ix3KKAgXDGSIJiNSBpc1QSpkjwfLd7AAERsm2RGbKLS5aje5gVGX0yGaqHdNnZEcEZI/s1600/16+Easy+Quantitative+Aptitude+shortcut+tricks+for+all+competitive+exams.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="226" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiWUKzqpxCL8SjEMzUZN70_9fWNZ8vJDSAFlFCSrEzwozkK0hOHGXOUAMajuMEQUVrTrIdkHaD3Ix3KKAgXDGSIJiNSBpc1QSpkjwfLd7AAERsm2RGbKLS5aje5gVGX0yGaqHdNnZEcEZI/s1600/16+Easy+Quantitative+Aptitude+shortcut+tricks+for+all+competitive+exams.jpg" width="320" /></a></div> (11) Product of numbers that only differ in units. If the numbers only differ in units and the sum of the units is 10, like with 53 and 57 or 122 and 128, then think of them as, say 10a+b and 10a+c, where b+c=10. The product (10a+b)(10a+c) is given by 100a2+10a(b+c)+bc =&nbs;100a(a+1)+bc. Thus to compute 53 times 57 (a=5, b=3, c=7), multiply 5 times (5+1) to get 30. Append to the result (30) theproduct of the units (3·7=21) to obtain 3021. Similarly 122·128 = 12·13·100+2·8=15616. (12) Multiplying by 11. To multiply a 2-digit number by 11, take the sum of its digits. If it's a single digit number, just write it between the two digits. If the sum is 10 or more, do not forget to carry 1 over. For example, 34·11=374 since 3+4=7. 47·11=517 since 4+7=11. (13) Faster subtraction. Subtraction is often faster in two steps instead of one. Example: 427-38=(427-27)-(38-27)=400-11=389. A generic advice might be given as "First remove what's easy, next whatever remains". Another example: 1049-187=1000-(187-49)=900-38=862. (14) Faster addition. Addition is often faster in two steps instead of one. Example: 487+38=(487+13)+(38-13)=500+25=525. A generic advice might be given as "First add what's easy, next whatever remains". Another example: 1049+187=1100+(187-51)=1200+36=1236. (15) Faster addition, #2. It's often faster to add a digit at a time starting with higher digits. For example, 583+645=583+600+40+5=1183+40+5=1223+5=1228. <div class="separator" style="clear: both; text-align: center;"> </div>(16) Multipliply, then subtract. When multiplying by 9, multiply by 10 instead, and then subtract the other number. For example, 23·9=230-23=207. The same applies to other numbers near those for which multiplication is simplified. 23·51=23·50+23=2300/2+23=1150+23=1173. 87·48=87·50-87·2=8700/2-160-14=4350-160-14=4190-14=4176.  <div class="separator" style="clear: both; text-align: center;"><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEibCH76oNoalphygw3KykSk03MGBJuaEgMHRunFSoMfl4iTRxvkW4fQQNGLK-_tsY-hnsae2EjR5T9H1sBi5bV5YYOHqOA_D3kgfhBuzNS7sqwGtwx0nZx-pI_frpGzc47LCBRJauaFEyY/s1600/top-tips-tricks.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="205" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEibCH76oNoalphygw3KykSk03MGBJuaEgMHRunFSoMfl4iTRxvkW4fQQNGLK-_tsY-hnsae2EjR5T9H1sBi5bV5YYOHqOA_D3kgfhBuzNS7sqwGtwx0nZx-pI_frpGzc47LCBRJauaFEyY/s1600/top-tips-tricks.jpg" width="320" /></a></div> </div>

16 Easy Quantitative Aptitude short tricks for all competitive exams with practice set Quiz test

16 Easy Quantitative Aptitude short tricks for all competitive exams with practice set Quiz test (1) Multiplication by 5 It's often more...

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100 Quantitative Aptitude Shortcut Tricks with practice - Multiplying numbers just over hundred

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