Divisibility Rule of 11


 
 
Concept Explanation
 

Divisibility Rule of 11

Divisibility Rule of 11 :

Justification:

Consider a two digit number overline{ab}.

   We have,     overline{ab} = 10a + b

Rightarrow       overline{ab} = 11a + b - a

Rightarrow      overline{ab} = a multiple of 11 + ( b - a )

Rightarrow     overline{ab} is a multiple of 11, if b - a is a multiple of 11

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Sample Questions
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Question : 1

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
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Question : 2

Smallest number that should be filled to make 1928_762 no divisible by 11.

Right Option : D
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Explanation
Question : 3

Check whether the given numbers are divisible by 11 or not?

 (a) 110011 

(b) 1210121

(c) 758043 

Right Option : A
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Explanation
 
 


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