Monday 15 February 2016

Divisibility of a number by 11 shortcut tricks

Shortcut Tricks are very important things in competitive exam. Competitive exams are all about time. If you know how to manage time then you will surely do great in your exam. Most of us miss this thing. Few examples on divisibility of a number by 11 shortcuts is given in this page below. We try to provide all types of shortcut tricks on divisibility of a number by 11 here. Visitors are requested to carefully read all shortcut examples. You can understand shortcut tricks on Divisibility of a number by 11 by these examples.
First of all do a practice set on math of any exa
m. Then find out twenty math problems related to this topic and write those on a paper. Solve first ten math problems according to basic math formula. You also need to keep track of the time. After solving all ten math questions write down total time taken by you to solve those questions. Now go through our page for divisibility of a number by 11 shortcut trick. After this do remaining ten questions and apply shortcut formula on those math problems. Again keep track of Timing. You will surely see the improvement in your timing this time. But this is not enough. You need to practice more to improve your timing more.
 
Math section in a competitive exam is the most important part of the exam. That doesn’t mean that other topics are less important. But only math portion can leads you to a good score. Only practice and practice can give you a good score. You should do your math problems within time with correctness, and you can do this only by using shortcut tricks. Again it does not mean that you can’t do maths without using shortcut tricks. You may have that potential that you may do maths within time without using any shortcut tricks. But so many other people may not do the same. For those we prepared this divisibility of a number by 11 shortcut tricks. Here in this page we try to put all types of shortcut tricks on Divisibility of a number by 11. But if you see any tricks are missing from the list then please inform us. Your little help will help others.
We are try to calculate divisibility of a number by 11 or any number using divisor 11, but if any large numbers is given we are not able to perform fast ,and using some rule and shortcut tricks we are calculate the divisibility of a numbers by 11.



Divisibility of a number by 11 shortcut tricks

Using 11 a number is divisible only when difference sum of Even position numbers and sum of odd position numbers is Zero, So divisible by 11.


Example 1: 1236431460 / 11 = 112402860. (1 + 3 + 4 + 1 + 6) ( odd places ) – (2 + 6 + 3 + 4 + 0 ) ( Even places ) = 0 and sum of odd and Even digit is equal so the number is divisible by 11.

Example 2: 7972813805 / 11 = 724801255. ( 7 + 7 + 8 + 3 + 0 ) ( odd places ) – ( 9 + 2 + 1 + 8 + 5 ) ( Even places ) = 0 and sum of odd and Even digit is equal so the number is divisible by 11.

Example 3: 513678 / 11 = 46698. ( 5 + 3 + 7 ) ( odd places ) – ( 1 + 6 + 8 ) ( Even places ) = 0 and sum of odd and Even digit is equal so the number is divisible by 11.

Example 4: 697972 / 11 = 63452. ( 6 + 7 + 7 ) ( odd places ) – ( 9 + 9 + 2 ) ( Even places ) = 0 and sum of odd and Even digit is equal so the number is divisible by 11.

Example 5: 874720 / 11 = 79520. ( 8 + 4 + 2 ) ( odd places ) – ( 7 + 7 + 0 ) ( Even places ) = 0 and sum of odd and Even digit is equal so the number is divisible by 11.

Note: So Before going to divisible by 10 any number, first check the condition of sum of odd and Even digit is equal and difference sum of Even places and sum of odd places is Zero is divisible by 10 .Than numbers is divisible by 10.

Few Examples of Divisibility with shortcut tricks

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