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

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

(a) 786764

(b) 536393 

Right Option : B
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Explanation
Question : 2

Determine 8338472 is divisible by 11 ?

Right Option : B
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Explanation
Question : 3

If overline{24x} is a multiple of 11 where x is a digit  The value of x is ______________.

Right Option : C
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Explanation
 
 
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