Answer :

(i) 22222


We know that if the difference of the sum of alternative digits of a number, i.e. digits which are in odd places together and digits in even places together, is divisible by 11 then that number is divisible by 11.


Here, sum of digits in odd places = 6 and sum of digits in even places = 4


The difference of the sum of alternative digits of a number is 2, which is not divisible by 11.


Hence, 22222 is not divisible by 11.


(ii) 444444


We know that if the difference of the sum of alternative digits of a number, i.e. digits which are in odd places together and digits in even places together, is divisible by 11 then that number is divisible by 11.


Here, sum of digits in odd places = 12 and sum of digits in even places = 12


The difference of the sum of alternative digits of a number is 0, which is divisible by 11.


Hence, 444444 is divisible by 11.


(iii) 379654


We know that if the difference of the sum of alternative digits of a number, i.e. digits which are in odd places together and digits in even places together, is divisible by 11 then that number is divisible by 11.


Here, sum of digits in odd places = 17 and sum of digits in even places = 17


The difference of the sum of alternative digits of a number is 0, which is divisible by 11.


Hence, 379654 is divisible by 11.


(iv) 1057982


We know that if the difference of the sum of alternative digits of a number, i.e. digits which are in odd places together and digits in even places together, is divisible by 11 then that number is divisible by 11.


Here, sum of digits in odd places = 17 and sum of digits in even places = 15


The difference of the sum of alternative digits of a number is 2, which is not divisible by 11.


Hence, 1057982 is not divisible by 11.


(v) 6543207


We know that if the difference of the sum of alternative digits of a number, i.e. digits which are in odd places together and digits in even places together, is divisible by 11 then that number is divisible by 11.


Here, sum of digits in odd places = 19 and sum of digits in even places = 8


The difference of the sum of alternative digits of a number is 11, which is divisible by 11.


Hence, 6543207 is divisible by 11.


(vi) 818532


We know that if the difference of the sum of alternative digits of a number, i.e. digits which are in odd places together and digits in even places together, is divisible by 11 then that number is divisible by 11.


Here, sum of digits in odd places = 8 and sum of digits in even places = 19


The difference of the sum of alternative digits of a number is 11, which is divisible by 11.


Hence, 818532 is divisible by 11.


(vii) 900163


We know that if the difference of the sum of alternative digits of a number, i.e. digits which are in odd places together and digits in even places together, is divisible by 11 then that number is divisible by 11.


Here, sum of digits in odd places = 4 and sum of digits in even places = 15


The difference of the sum of alternative digits of a number is 11, which is divisible by 11.


Hence, 900163 is divisible by 11.


(viii) 7531622


We know that if the difference of the sum of alternative digits of a number, i.e. digits which are in odd places together and digits in even places together, is divisible by 11 then that number is divisible by 11.


Here, sum of digits in odd places = 18 and sum of digits in even places = 8


The difference of the sum of alternative digits of a number is 10, which is not divisible by 11.


Hence, 7531622 is not divisible by 11.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Quiz on Divisibility TestQuiz on Divisibility TestQuiz on Divisibility Test32 mins
Smart Revision | Playing with NumbersSmart Revision | Playing with NumbersSmart Revision | Playing with Numbers54 mins
Divisible or notDivisible or notDivisible or not41 mins
Mastering Divisibility TestMastering Divisibility TestMastering Divisibility Test42 mins
Smart Revision | Complete Chapter QuizSmart Revision | Complete Chapter QuizSmart Revision | Complete Chapter Quiz45 mins
NCERT | Divisibility TestNCERT | Divisibility TestNCERT | Divisibility Test43 mins
Quiz | Who will Win the Game?Quiz | Who will Win the Game?Quiz | Who will Win the Game?41 mins
Quiz | Imp. Qs. on Playing With NumbersQuiz | Imp. Qs. on Playing With NumbersQuiz | Imp. Qs. on Playing With Numbers45 mins
Missing NumbersMissing NumbersMissing Numbers55 mins
Properties of Rational NumbersProperties of Rational NumbersProperties of Rational Numbers29 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

If x + y + z = 6 NCERT - Mathematics Exemplar

Test the diRS Aggarwal - Mathematics

Test the diRS Aggarwal - Mathematics

Test the diRS Aggarwal - Mathematics

Test the diRS Aggarwal - Mathematics

Test the diRS Aggarwal - Mathematics

Test the diRS Aggarwal - Mathematics

Test the diRS Aggarwal - Mathematics

Which of thRD Sharma - Mathematics

Which of thRS Aggarwal - Mathematics