Correct Answer - Option 1 : 51579
Concept Used:
Divisibility rule of 9:
Addition of digits of a given number must be divisible by 9.
Divisibility rule of 11:
The difference of sums of the digits in odd and even places is zero or multiple of 11
Calculation:
99 can be written as,
⇒ 99 = 9 × 11
Now by taking options,
Option 1,
For 9,
⇒ 51579 = 5 + 1 + 5 + 7 + 9 = 27
27 which is divisible by 9
So the number is divisible by 9
For 11,
⇒ 51579 = (5 + 5 + 9) – (1 + 7)
⇒ 19 – 8 = 11
So the number is divisible by 11
∴ First option, 51579 is divisible by 99.
