Question

5. Find the greatest number of five digits exactly divisible by 5, 10, 15, 20 and 25​

Answer 1

Answer:

LCM of 5,10,15,20,25

5=5*1

10=5*2*1

15=5*3*1

20=5*2*2*1

25=5*5*1

LCM of(5,10,15,20,25)=1*5*5*2*2*3=300.

Now, we have to find the greatest 5 digit number which is divisible by 300.

99,900 is the greatest 5 digit number which is divisible by 300.

Therefore, 99904 is the 5 digit greatest number which is divisible by 5,10,15,20,25 , leaves a remainder 4.

Answer 2

Answer:

Step-by-step explanation:

Concept:

The concept of basic mathematics will help us to solve this problem.

Given:

The number which will be divided by the given numbers is of five digits and the given numbers are $5, 10, 15, 20, 25$.

To Find:

We have to find the number of five digits which is divided by $5, 10, 15, 20, 25$ .

Solution:

First we need to get the LCM of this five numbers.

The five numbers are $5, 10, 15, 20, 25$ .

The LCM of $5, 10, 15, 20, 25$ is $300$ .

The largest number of five digits is $99999$.

Divide $99999$ by $300$ and we will get the quotient $333$ and the remainder is $99$.

now we have to substract the remainder from the original number.

$99999-99=99900$ .

The correct answer is $99900$ .

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