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What is the smallest 5-digit number exactly divisible by 999?
Question

What is the smallest 5-digit number exactly divisible by 999?

A.

19,999

B.

10,989

C.

10,899

D.

10,999

Correct option is B

Given:

To find the smallest 5-digit number exactly divisible by 999.

Concept Used:

To find the smallest 5-digit number divisible by 999, divide the smallest 5-digit number (which is 10000) by 999, and round up to the next integer. Then multiply that integer by 999 to get the required number.

Solution:

1000099910.010=>10.010=11\frac{10000}{999} \approx 10.010\Rightarrow \lceil 10.010 \rceil = 11​​

Required number = 11×99911 \times 999 = 10989

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