Once you attempt the question then PrepInsta explanation will be displayed.

Maybe, a few of you solved the question incorrectly. The reason being you didn't read the question correctly.

The word important in the question is : **Successively**

- Let the number be A

- So, when divided by 5 : A = 5K + 0 = 5K

- Thus, when you divide A by 5 you get K

According to question, the number is successively then divided by 3.

- From above when A is divided by 5. We get K

- So, dividing successively, K is divided further by 3 and leaves remainder 2

- So, following is valid : K = 3J + 2

Again, according to the question, the number is again successively divided by 2

- From the previous step we get J, after K is divided by 3.

- Thus, dividing successively, J is divided further by 2 and leaves remainder 1

- So, following is valid : J = 2L + 1

We get the following three equations:

- J = 2L + 1

- K = 3J + 2

- A = 5K

Replacing values in A = 5K equation

- A = 5K

- A = 5(3J + 2) = 15J + 10

- A = 15(2L + 1) + 10 = 30L + 25

Any number of the above conditions will satisfy the following equation -

- Num : 30L + 25 (Where L can be 0, 1 , 2, 3 ......... )

If L = 0 then, number is 25

- Dividing 25 by 2 we get

- Dividing 12 by 3 we get (Since, successively)

- Dividing 4 by 5 we get (Since, successively)

So answer is : 1, 0, 4

**Video solution:**

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