Divisibility Rule of 11
Divisibility Rule of 11
In Divisibility Rule of 11, we have two methods :
Method 1: The Divisibility Rule of 11 is that you must subtract and then add the digits in an alternating pattern from left to right. If your answer is 0 or 11 then it is divisible by 11.
Illustration 1: Determine 31823 is evenly divisible by 11 ?
step 1: 3 – 2 + 8 – 1 + 3 = 11.
step 2: so, 31823 is divisible by 11 .
Illustration 2: Determine 9123 is evenly divisible by 11 or not ?
step 1: 3 – 2 + 1 – 9 = -7.
step 2: Since -7 is not divisible by 11, 9123 is not evenly divisible by 11.
Illustration 3: Determine 9876543210 is evenly divisible by 11 or not ?
step 1: 0 – 1 + 2 – 3 + 4 – 5 + 6 – 7 + 8 – 9 = -5
step 2: -5 is not evenly divisible by 11, 9876543210 is not evenly divisible by 11.
Method 2 : Find the difference between the sum of the digits at odd places(from the right) and the sum of the digits at even places(from the right) of the number.
If the difference is either 0 or divisible by 11, then the number is divisible by 11.
Illustration 1: Determine 31823 is evenly divisible by 11 ?
Step 1: sum of the digits at odd places(from the right) : 3+8+3=14
Step 2: sum of the digits at even places(from the right) : 2+1=3
Step 3: 14 - 3 = 11
The number 11 is divisible by 11 so, 31823 is also divisible by 11
Determine 168861 is divisible by 11 ? | |||
| Right Option : A | |||
| View Explanation | |||
Find the value of a + b + c, if 373a is divisible by 9, 473b is divisible by 11 and 373c is divisible by 6. | |||
| Right Option : A | |||
| View Explanation | |||
Check whether the given numbers are divisible by 11 or not? (a) 308 (b) 54452 (c) 61809 | |||
| Right Option : A | |||
| View Explanation | |||
Students / Parents Reviews [10]
One of the best institutes to develope a child interest in studies.Provides SST and English knowledge also unlike other institutes. Teachers are co operative and friendly online tests andPPT develope practical knowledge also.
Aman Kumar Shrivastava
10thA marvelous experience with Abhyas. I am glad to share that my ward has achieved more than enough at the Ambala ABHYAS centre. Years have passed on and more and more he has gained. May the centre flourish and develop day by day by the grace of God.
Archit Segal
7thAbhyas is a complete education Institute. Here extreme care is taken by teacher with the help of regular exam. Extra classes also conducted by the institute, if the student is weak.
Om Umang
10thIt was good as the experience because as we had come here we had been improved in a such envirnment created here.Extra is taught which is beneficial for future.
Eshan Arora
8thMy experience was very good with Abhyas academy. I am studying here from 6th class and I am satisfied by its results in my life. I improved a lot here ahead of school syllabus.
Ayan Ghosh
8thMy experience with Abhyas academy is very good. I did not think that my every subject coming here will be so strong. The main thing is that the online tests had made me learn here more things.
Hiya Gupta
8thI have spent a wonderful time in Abhyas academy. It has made my reasoning more apt, English more stronger and Maths an interesting subject for me. It has given me a habbit of self studying
Yatharthi Sharma
10thIt was a good experience with Abhyas Academy. I even faced problems in starting but slowly and steadily overcomed. Especially reasoning classes helped me a lot.
Cheshta
10thBeing a parent, I saw my daughter improvement in her studies by seeing a good result in all day to day compititive exam TMO, NSO, IEO etc and as well as studies. I have got a fruitful result from my daughter.
Prisha Gupta
8thAbout Abhyas metholodology the teachers are very nice and hardworking toward students.The Centre Head Mrs Anu Sethi is also a brilliant teacher.Abhyas has taught me how to overcome problems and has always taken my doubts and suppoeted me.
