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Which one of the following numbers is divisible by 99 ?
1. 3572404
2. 135792
3. 913464
4. 114345

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Correct Answer - Option 4 : 114345

Concept Used 

For any number will be divisible by 99, it should be divisible by 9 and 11 

Divisibility Rule of 9 = sum of digit of number is divisible by 9 , then whole number should be divisible by 9 

Divisibility Rule of 11 = Difference in sum of even place digit and odd place digit should be 0 or multiple of 11

Calculation 

Using Option

Option 1, 

Sum of digit of 3572404 = 3 + 5 + 7 + 2 + 4 + 4 = 25 

25 is not divisible by 9 

So, number not divisible by 99

Option 2,

Sum of digit of 135792 = 1 + 3 + 5 + 7 + 9 + 2 = 27 

27 is divisible by 9 

Now check for divisible by 11 

(Sum of even place digit) - (Sum of odd place digit) 

⇒ (3 + 7 + 2) - (1 + 5 + 9) = -3 

so it is not divisible by 99 

Now option 3, 

Sum of digit of 913464 = 9 + 1 + 3 + 4 + 6 + 4 = 27 

27 is divisible by 9 

Now check for divisible by 11

(Sum of even place digit) - (Sum of odd place digit) 

⇒ (1 + 4 + 4) - (9 + 3 + 6) = -9 

So, 913464 is not divisible by 99

Option 4,

Sum of digit of 114345 = 1 + 1 + 4 + 3 + 4 + 5 = 18

18 is divisible by 9

Now check for divisible by 11

(Sum of even place digit) - (Sum of odd place digit) 

⇒ (1 + 3 + 5) - (1 + 4 + 4) = 0 

So, 114345 is divisible by 99

∴ The required answer is 114345

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