Q

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

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

• Option 1)

• Option 2)

• Option 3)

• Option 4)

None of these

• Option 5)

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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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