Reason + comparing - practice problems
Number of problems found: 61
- 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 - 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)? - Smallest 80368
What is the smallest whole number to replace the known x for: 9> x/3> 4. - Parabolic 79764
In a tennis match, Adrien is 5 m from the net when he hits a ball 80 cm off the ground. The maximum height of its parabolic path passing through the net was 1.5 m. If the length of the court is 23.77 m, will the ball land inside the court? - Determine 79634
There are 12 apples and 10 pears in the basket. Peter has to choose either an apple or a pear from them so that Víra, who chooses 1 apple and 1 pear after him, has the greatest possible choice. Determine what Peter chooses. - 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? - Bracelet 70684
A gold ring with a width of 1 cm is made by drilling a sphere with a radius of 1 cm through its center. A gold bracelet with a width of 1 cm is made by drilling a sphere with a radius of 4 cm through its center. Which piece of jewelry will be worth more i - Achievement 66164
The test consisted of 50 questions, each with one possible correct answer. The test result is given by the sum of the correct answers, a maximum of 100 points. The criterion for admission was the achievement of 50 points. The study applicant answered 36 q - 14 sticks
I was cleaning up my attic recently and found a set of at least 14 sticks which a curious Italian sold me some years ago. Trying hard to figure out why I bought it from him, I realized that the set has the incredible property that there are no three stick - 214568793 62744
Find the three digits that need to be deleted from 214568793 to make the number as small as possible. What is the sum of these deleted digits? - Gas prices 2021
According to the SPP price list in 2021, the price of natural gas, together with its supply, is as follows: D1 - we cook. Fix 3.34 euros/month and 0.0479 euros/kWh (1 cubic meter of gas is approximately 10.555 kWh. It is called combustion heat and changes - Contradiction 55571
Use the truth table to evaluate the truth of the compound statement (a) [P ∧ (Q ∨ R)] ⇔ [(P ∧ Q) ∨ (P ∧ R)] (b) ¬(P ⇒ ¬Q) ⇒ (¬P ∧ Q) and decide each time whether it is a tautology or A contradiction. - Chi square
A phone battery manufacturer claims that his battery lives are approximately normally distributed with a standard deviation equal to 0.9 years. Suppose a random sample of 10 of these batteries has a standard deviation of 1.2 years. Do you think that the s - Seeds
From a box of spruce seeds with a germination of 80%, we randomly selected ten seeds and planted them. Find the median of the random variable: the number of germinating seeds. - Evaluation 34581
There are a total of 26 students in the class. During the evaluation of the control work, the teacher said: "4 pupils got the number one, and that is 16%. "Did all the students write the control work? - Environmentally 30731
Peter plans to buy a used seven-seater for a large family. The so-called van or MPV. The first car Renault Espace 2.0 dCi 16V Dynamique 2006, costs 2000 euros + 350 euros registration for Slovak brands, imported from Italy. It is 14 years old and has a co - Used cars
Peter plans to buy a used car: the first car Renault Espace 2.0 dCi 16V Dynamique 2006, costs 2000 euros. It is 14 years old and has a combined diesel consumption of 8 liters. / 100 km. Diesel costs 1.1 euros/liter. How much will the car cost him to opera - How many
How many numbers are less than 222 with a digit sum is 8? - Right-angled 25091
A thin plate in the shape of a right-angled triangle is turned once around the shorter hanger and a second time around the longer hanger. Cones are described by rotation. Are they the same volume? The dimensions are: shorter pendant 6cm, longer pendant 8c - School year
At the beginning of the school year, 396 notebooks and 252 textbooks were ready to be distributed in the classroom. All pupils receive the same number of notebooks and the same amount of textbooks. How many pupils are there in the class if you know that t
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