# Natural numbers - examples

- Voting

400 employees cast their votes in a board member election that has only 2 candidates. 120 people vote for candidate A, while half of the remaining voters abstain. How many votes does candidate B receive? - Hens and pigs

Hens and pigs have 46 feet in total. At least how much can heads have? - Each with each

Five pupils from 3A class played table tennis. How many matches did they play with each other? - Reminder and quotient

There are given the number C = 281, D = 201. Find the highest natural number S so that the C:S, D:S are with the remainder of 1, - Reminder and quotient

There are given numbers A = 135, B = 315. Find the smallest natural number R greater than 1 so that the proportions R:A, R:B are with the remainder 1. - Collection of stamps

Jano, Rado, and Fero have created a collection of stamps in a ratio of 5: 6: 9. Two of them had 429 stamps together. How many stamps did their shared collection have? - Divide 5

Divide 288 in the following ratio 3 : 4 : 5 - Circus

On the circus performance was 150 people. Men were 10 less than women and children 50 more than adults. How many children were in the circus? - The Hotel

The Holiday Hotel has the same number of rooms on each floor. Rooms are numbered with natural numbers 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 r - Six-digit primes

Find all six-digit prime numbers that contain each one of digits 1,2,4,5,7 and 8 just once. How many are they? - The florist

The florist had 200 roses in the morning. During the day, more than half sold it. From the remaining roses, it will tie the bouquet. If a bouquet of 3, 4, 5 or 6 roses are bound, one always remains. How many roses from the morning shipment sold? - Three machines

The power of the three machines is 2: 3: 5. Two most powerful machines produce 400 parts per hour. How many components make all three machines in 3 hours? - Chocolate

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 what is the ratio between white, milk, dark chocolate. - Brick

One brick is 6 kg and half a brick heavy. What is the weight of one brick? - Chocolate

Randy bought 6 same chocolates for 6 Eur. How many euros will he pay for 25 chocolates? - Divisibility

Is the number 761082 exactly divisible by 9? (the result is the integer and/or remainder is zero) - Monkey

Monkey fell in 38 m deep well. Every day her scramble 3 meters, at night dropped back by 2 m. On that day it gets hangover from the well? - Diophantus

We know little about this Greek mathematician from Alexandria, except that he lived around 3rd century A.D. Thanks to an admirer of his, who described his life by means of an algebraic riddle, we know at least something about his life. Diophantus's youth l - Z9-I-4

Kate thought a five-digit integer. She wrote the sum of this number and its half at the first line to the workbook. On the second line wrote a total of this number and its one fifth. On the third row she wrote a sum of this number and its one nines. Fi - No. of divisors

How many different divisors has number ??

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