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Find the smallest five-digit number which can be divided by 15, 55 and 99.

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10020

10395

9900

10100

answer is B.

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Detailed Solution

Concept- In problems like this, LCM is a must.
So, we need LCMs of 15, 55 and 99. LCM is the least common multiple of the three numbers.
To get LCM we need the factors of the three numbers.

Question Image

The smallest five-digit number in the number system is 10000.
The number divisible by 15, 55 and 99 will be the number divisible by 495.

We get a remainder 100.
That means the nearest number divisible by 495 is

But we need a five-digit number.
So, the required number will be:

Hence, the correct answer is option 2.

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