Reason + natural numbers - practice problems
Number of problems found: 543
- 52 cards
A hand of five cards is dealt from a pack of 52 playing cards. How many different hands can be dealt that contain three aces? - Same remainder
Find the greatest number that will divide 43, 91, and 183 so as to leave the same the remainder in each case. - My 4
My 4-digit number is a palindrome; it has a remainder of 21 when you divide it by 100. what is my number? A palindrome is a number that does not change if you write it backward. - Condition 83228
Three boys Ivo, Vlado and Alan are reading the same book, with the condition that they will read the same number of pages every day during the entire reading until they finish the book. Ivo reads 18 pages from it every day, Vlado reads 24 pages, and Alan - Solution 83099
There are spiders and flies on the window. They have a total of 38 legs. How many spiders and flies are there if a spider has 8 legs and a fly has 6? Just give one solution. - Characters 82998
Adam wrote the following sum with five secret adders: a + bb + ccc + dddd + eeeee. He revealed that the characters "a, b, c, d, e" represent the different digits 1, 2, 3, 4, and 5 and that the resulting sum is divisible by 11. Which is the smallest and wh - Determine 82975
Determine the sum of all positive odd numbers less than 78 - Marbles 82974
The bag has 5 red, 7 white, 10 yellow, and 6 black balls. At least how many marbles must be drawn from the bag to ensure that there will be 3 yellow ones among the drawn balls? - Determine 82852
The fan club has 275 members. Some members went to the match by train. Determine how many members rode when they could fill the wagons with either 60 or 80 seats. - Centimeters 82756
Let us have a cube whose edge length is expressed in centimeters and is a natural number. What is the smallest number of such identical cubes that can be made into a cuboid with dimensions of 24 cm, 32 cm, and 60 cm? How long will the edge of these cubes - Strawberries 82738
Three classmates worked part-time during the summer vacation harvesting strawberries. Jan collected 145 baskets of strawberries during the entire time of the brigade. Peter collected 185 baskets. How many baskets did their classmate Stan collect, if we kn - Yesterday 82688
A total of 680 adults visited the swimming pool yesterday, among whom there were 30% fewer men than women. How many men visited the swimming pool yesterday? - Two-digit 82521
Karel had to multiply two two-digit numbers. Out of care, he changed the order of the digits in one of the factors and got a product that was 4,248 less than the correct result. What is the correct result? How much should Karl have earned? - Permutations 82516
From how many elements can we make 5040 permutations without repetition? - Incorrectly 82480
Peter solves 40 examples. For a correctly solved example, he receives CZK 5 from his mother. For example, in a poorly solved case, he will pay 20 CZK to his mother. After solving all the examples, he had CZK 25 more than when he started counting. How many - Subtract 82442
I think of three numbers. When I add them, I get 15. When I subtract the third number from the sum of the first two numbers, I get 10. When I subtract the second number from the sum of the first and third numbers, I get 8. What number do I think? - Performance_ 82318
The dance troupe has 24 members. How many equal-sized groups of dancers can he divide into during a performance_ - Five-digit 82257
Determine the number of all five-digit natural numbers in which every two digits are different in decimal notation. - Four-digit 82023
How many four-digit numbers are there in which there are at least three eights - Repetition: 82003
Calculate how many different monograms (short name and surname) I can make from the letters A, E, M, Z, and K. a) with repetition: b) without repetition:
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