Reason + numbers - practice problems - page 2 of 43
Number of problems found: 851
- 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? - Budapest 82510
In Trnava, it was -6 degrees Celsius; how much was it in Budapest, which was twice as hot.? - 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: - Position 81987
Find a number with six digits. If you put the last digit before the first, you get a new number that is five times larger. The digits between must not change their position. - We randomly
We randomly select a three-digit number. What is the probability that the number 8 occurs at most once in its notation? - Diameter 81760
Winding drum length 180mm, initial diameter 60mm. Using a 6mm rope with a length of 50m, what will be the diameter of the wound drum with the rope? - Probability 81678
What is the probability of guessing a PIN code (4 numbers) if it contains only even numbers? - Probability 81637
We randomly select three different points from the vertices of a regular heptagon and connect them with line segments. The probability that the resulting triangle will be isosceles is equal to: (A) 1/3 (B) 2/5 (C) 3/5 (D) 4/7 - Consecutively numbers
How many ways are there to arrange the numbers 3, 2, 15, 8, and 6 so that the even numbers are arranged in ascending order (not necessarily consecutively)? - Probability 81446
What is the probability that each digit is different in a five-digit number? - Indistinguishable 81236
There are 32 red socks and 32 blue socks in a drawer. The left and right socks are indistinguishable. You pull your socks out of the drawer in the dark. How many do you have to take out to make sure you have a pair when you look at them? - Equilateral 81142
The rotating body was created by rotating an equilateral triangle with a side length of a=2 cm around one of its sides. Calculate the volume of this rotating body. - Introduced 81104
The * (asterisk) operation assigning one number to two pairs of numbers is introduced as follows: (a, b)*(c, d) = ac+bd We know that: (x,2)*(-1, v) = -1 and (2,-1)*(u, v)=5 and (u, v)*(1,1)=-2 What is (1,2)*(x, y) equal to if y=3? - SKMO
Petra had written natural numbers from 1 to 9. She added two of these numbers, deleted them, and wrote the resulting sum instead of the summaries. She thus had eight numbers written down, which she managed to divide into two groups with the same product.
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