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Which of the following numbers is completely divisible by 99?
1. 51579
2. 51557
3. 55036
4. 49984

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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.

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