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
