Integer equation + divisibility - practice problems
Number of problems found: 34
- Four-digit 55481
Find all four-digit abcd numbers to which: abcd = 20. ab + 16. cd, where ab and cd are double digits numbers from digits a, b, c, and d.
- Coloured numbers
Mussel wrote four different natural numbers with colored markers: red, blue, green, and yellow. When the red number divides by blue, it gets the green number as an incomplete proportion, and yellow represents the remainder after this division. When it div
The tile has the shape of a square with a side of 15 cm. What dimensions can a rectangle composed of 90 tiles have so that no tile remains?
- Math test
In mathematics, there were 25 problems of three kinds: light 2 points, medium 3 points, heavy 5 points, the best score is 84 points. How many points did Jane have when she solved all the easy examples, half medium and one-third difficult?
- Red and white
Simona picked 63 tulips in the garden and tied bicolor bouquets for her girlfriends. The tulips were only red and white. She put as many tulips in each bouquet, three of which were always red. How much could Simon tear off white tulips? Write all the opti
- Circumference 9811
Kristýna chose a certain odd natural number divisible by three. Jakub and David then examined triangles with a circumference in millimeters equal to the number selected by Kristýna and whose sides have lengths in millimeters expressed by different integer
- Notebooks 8651
I need to buy exercise books and covers. One notebook costs CZK 12, and one cover costs CZK 3. I have one fifty crowns and one twenty crowns..How many notebooks and covers can I buy for it? Come up with more options.
- Solutions 8481
For which integers x is the ratio (x + 11) / (x + 7) an integer? Find all solutions.
- The Hotel
The Holiday Hotel has the same number of rooms on each floor. Rooms are numbered with natural numerals sequentially from the first floor, no number is omitted, and each room has a different number. Three tourists arrived at the hotel. The first one was in
I have a box of chocolate - white, milk, and dark. The ratio of white to milk with dark is 3: 4. The ratio of white and milk to dark is 17: 4. Calculate the ratio between white, milk, and dark chocolate.
- Year 2018
The product of the three positive numbers is 2018. What are the numbers?
- Digit sum
How many are three-digit numbers that have a digit sum of 6?
- Candy and boxes
We have some candy and empty boxes. When we put ten sweets in boxes, there will be two candies and eight empty boxes left. When of eight, there will be six candies and three boxes left. How many candy and empty boxes are gone when we put nine sweets into
Less than 500 pupils attend school. When it is sorted into pairs, one pupil remains. Similarly, when sorted into 3, 4, 5, and 6 members teams, one remains. Sorted to seven members teams, no left behind. How many pupils are attending this school?
If eight men, ten women, and 16 children collect ₹1024 in 4 days, how many days will be required for six men, five women, and four boys to collect ₹768? (₹ is Indian Rupee)
- Ľé sweets
There are 20 sweets in the bag. Some are chocolate, other coconuts, and the remaining marzipan. Chocolate is four times more than coconut. Marzipan's less than chocolate. How much is in a bag of coconut sweets?
- One hundred stamps
A hundred letter stamps cost a hundred crowns. Its costs are four levels - twenty tenths, one crown, two-crown and five-crown. How many are each type of stamp? How many does the problem have solutions?
- Sales of products
For 80 pieces of two quality products, the total sales are 175 Eur. Suppose the first quality product was sold for n EUR per piece (n natural number) and the second quality product after 2 EUR per piece. How many pieces of the first quality were sold?
You're the owner of the transport's learning playground. Buy bicycles of two colors, but you've got to spend accurately 120000 Kč. The Blue bike costs 3600Kč and the red bicycle 3200Kč.
- Real estate
The residential house has three entrances numbered by odd numbers arithmetic progression. The sum of the two numbers on the corner entrances is 50. Calculate the highest of these three numbers.
Do you solve Diofant problems and looking for a calculator of Diofant integer equations? Integer equation - practice problems. Divisibility - practice problems.