### Reverse to Order

Take any two digit number, for example 58. What do you have to do to reverse the order of the digits? Can you find a rule for reversing the order of digits for any two digit number?

### Repeaters

Choose any 3 digits and make a 6 digit number by repeating the 3 digits in the same order (e.g. 594594). Explain why whatever digits you choose the number will always be divisible by 7, 11 and 13.

# Weekly Problem 48 - 2013

##### Stage: 3 Challenge Level:
$3$

The units digit of the product is $3$; therefore the remainder when that number is divided by $5$ is also $3$.

This problem is taken from the UKMT Mathematical Challenges.

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