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Remainder: Part 1 (Posted on 2006-03-20)

A hundred digit number is formed by writing the first few natural numbers in front of each other as follows:

12345678910111213141516171819ЕЕЕЕЕЕЕ

Find the remainders when this number is divided by each of the numbers from 1 to 20.

No Solution Yet Submitted by Ravi Raja

Rating: 2.5000 (2 votes)

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Puzzle Solution

Comment 7 of 7 |

The given number is:

1234567891011121314151617181920212223242526272829303132333435

36373839404142434445

Let us denote this number by B.

We set up the table as follows, where B(mod n) denotes the required remainder:

n B(mod n)

-- --------------

1 0

2 1

3 2

4 1

5 0

6 5

7 6

8 1

9 5

10 5

11 1

12 5

13 1

14 13

15 5

16 9

17 3

18 5

19 4

20 5

Edited on September 13, 2022, 3:07 am

Posted by K Sengupta on 2022-09-13 03:06:42

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