# Pythagoras contest + divisibility - practice problems

#### Number of problems found: 5

- Five-digit number

Anna thinks of a five-digit number that is not divisible by three or four. If he increments each digit by one, it gets a five-digit number that is divisible by three. If he reduces each digit by one, he gets a five-digit number divisible by four. If it sw - All pairs

Determine all pairs (m, n) of natural numbers for which is true: m s (n) = n s (m) = 70, where s (a) denotes the digit sum of the natural number a. - Two cars on ring

There were two cars on the round track (ring) in the adjacent tracks, the first car in the inner track, the second in the outer track. Both cars started at the same time from one starting track. The first toy car drove every four laps simultaneously as th - Bicycles

You're the owner of the transport 's learning playground. Buy bicycles of two colors but you've got to spend accurately 120000 Kč. Blue bike costs 3600Kč and red bicycle 3200Kč. - Fluid

We have vessels containing 7 liters, 5 liters, and 2 liters. The largest container is filled with fluid, the others empty. Can you only by pouring get 5 liters and two 1 liter of fluid? How much pouring is needed?

We apologize, but in this category are not a lot of examples.

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Do you have an exciting math question or word problem that you can't solve? Ask a question or post a math problem, and we can try to solve it.

Pythagoras contest - practice problems. Divisibility - practice problems.