Reason + integers - practice problems
Number of problems found: 60
- Budapest 82510
In Trnava, it was -6 degrees Celsius; how much was it in Budapest, which was twice as hot.? - Positive integer integral
How many different sets of a positive integer in the form (x, y, z) satisfy the equation xyz=1400? - Equations: 80499
In the field of real numbers, solve the system of equations: 2x + ⌊y⌋ = 2022, 3y + ⌊2x⌋ = 2023. (⌊a⌋ denotes the (lower) integer part of the real number a, i.e., the largest integer not greater than a., E.g., ⌊1.9⌋ = 1 and ⌊−1.1⌋ = −2.) - Non equivalent ints
Two n-digit integers are said to be equivalent if one is a permutation of the other. Find the number of 5-digit integers such no two are equivalent. If the digit 5,7,9 can appear at most one, how many non-equivalent five-digit integers are there?
- Three flocks
Flocks of birds pass by, and one bird on a tree asks them, how many of you? And they respond, we are so plenty. The second flock of birds again passes by and asks the bird on a tree, how many of you? The response is we are one-half (1/2) of the first floc - Chad buys
Chad buys peanuts in 2-pound bags. He repackages them into bags that hold 5/6 pounds of peanuts. How many 2-pound bags of peanuts should Chad buy to fill the 5/6-pound bags without having any peanuts left over? - Integer cube
The length of the cube edge is an integer. Its volume is in cm3, a five-digit number divisible by 1331. What is the length of the edge of this cube? - Two integers
Two integers, a, and b, have a product of 36. What is the least possible sum of a and b? - Subtract 10001
For five whole numbers, if we add one to the first, multiply the second by the second, subtract three from the third, multiply the fourth by four, and divide the fifth by five, we get the same result each time. Find all five of the numbers that add up to
- 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 - Sufficient 9391
In Kocourkov, they use coins with only two values expressed in Kocourkov crowns by positive integers. With a sufficient number of such coins, it is possible to pay any integer amount greater than 53 cats’ crowns accurately and without return. However, we - Positive integers
Several positive integers are written on the paper. Michaella only remembered that each number was half the sum of all the other numbers. How many numbers could be written on paper? - Solutions 8481
For which integers x is the ratio (x + 11) / (x + 7) an integer? Find all solutions. - 102—likewise 8205
The number 20 137 is "like" the number 73 102—likewise, the decimal numbers 41.9 and 9.14, or 31.08 and 80.13, like each other. Find two mutually exclusive numbers whose product is 357.435.
- Collection of stamps
Jano, Rado, and Fero created a collection of stamps in a ratio of 5:6:9. Two had 429 stamps together. How many stamps did their shared collection have? - Consecutive 7556
The sum of three consecutive integers equals three times the middle number. Specify these numbers. - Year 2018
The product of the three positive numbers is 2018. What are the numbers? - Increased 7062
I think the number. I will increase it by 6, then decrease the increased number by 12, and then multiply the result by the number -2. I divide the product by the number -8 and get the number -4. What number do I think? - Progression
-12, 60, -300,1500 need the next 2 numbers of pattern
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