How many numbers of the form 34a5b are divisible by 36?

 

  • Option 1)

     

    7

     

  • Option 2)

     

    2

     

  • Option 3)

     

    5

     

  • Option 4)

     

    None of these

     

  • Option 5)

     

    3

     

Answers (1)

Numbers of form 34a5b divisible by 36

Number which is divisible by 36 should be divisible by 4 and 9

For 4, last two digit should be divisible by 4,\frac{5b}{4}

Hence \: b=2,6

For \: 9 , 3+4+1+5+2=\frac{(14+a)}{9}

A=4

3+4+1+5+6=\frac{(18+a)}{9}

A=0, 9

3 numbers of this form are divisible by 36

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