Reason - math word problems - page 25 of 102
Number of problems found: 2025
- Following 34291
The following holds for two non-empty sets, A and B: A ∪ B has 16 elements, A ∩ B has 11 elements, and the set A - B is empty. How many elements does set B-A to have?
- Venn diagram
University students choose a foreign language for the 1st year. Of the 120 enrolled students, 75 chose English, 65 German, and 40 both English and German. Using the Venn diagram, determine: - how many of the enrolled students chose English only - how many
- Language courses
Of the company's 60 employees, 28 attend an English course, 17 take a German course, and 20 do not attend any of these courses. How many employees attend both courses?
- Pagans
Jano and Michael ate pagans. Jano ate three more than Michael. The product of their counts (numbers) is 180. How many pagans did each of them eat?
- One dice
Calculate the probability of one dice roll with the numbers 1, 2, 3, 4, 5, and 6 on the walls. Write the results in a notebook in the shape of a fraction in the basic form: 2/3. a, The number 1 falls on the cube. b, The number 5 falls on the cube. c, An e
- Three dice
The player throwing the three dice asked G. Galilei: "Should I bet on the sum of 11 or the sum of 12?" What did Galilei answer him? Hint: write down all three triples of numbers that can be thrown, have a total of 11, have a total of 12, and compare proba
- Telco company
The upstairs communications company offers customers a special long-distance calling rate that includes a $0.10 per minute charge. Which of the following represents this fee schedule, where m represents the number of minutes and c is the call's overall co
- Into box
How many cubes with an edge of 2.5 cm fit into a box measuring 11.6 cm, 8.9 cm, and 13.75 cm?
- Repeated 33571
Use the digits 3, 4, 5, and 6 to write all even numbers. How many such numbers can you write when you can repeat the numbers?
- Themselves 33561
How many ways can a 6-member football club member choose a leader and captain from among themselves?
- Number 4
Kamila wrote all-natural numbers from 1 to 400 inclusive. How many times did she write the number 4?
- Sphere cut
A sphere segment is cut off from a sphere k with radius r = 1. The volume of the sphere inscribed in this segment is equal to 1/6 of the segment's volume. What is the distance of the cutting plane from the center of the sphere?
- Deceleration of car
The car has a speed of 60 km/h and, after a 100 m journey speed of 40 km/h. What is the deceleration of a car if we assume that its movement is constantly slowed down?
- Two-element combinations
Write all two-element combinations from elements a, b, c, and d.
- Fresh juice
The seller offers fresh-squeezed juice, which the customer either pours into his own containers or sells in liter plastic bottles, which the customer buys from him. A liter of juice costs 40 CZK more than a bottle. There is no charge for turning the juice
- Borrowing bicycle
Jakub lent a bicycle to friends who wanted to ride it. For a three-hour bike ride, Jakub received two chocolates. Yup. If you wanted a bike for 2 hours, you had to give Jakub 12 candies. Peter gave Jakub 1 chocolate and three candies. How long can Peter r
- Three-digit 33263
Calculate the difference between the smallest odd four-digit number and the largest even three-digit number, where we can form each number from only these digits: 0, 1, 3, 5, 7, 8, 9 without repeating digits.
- Competition 33041
The long-term volleyball tournament is played one-on-one. So far, 11 teams have entered the competition. How many matches will be lost when two teams unsubscribe?
- Aleš coins
Aleš has one coin, Boris and Cyril each have two coins. Aleš has 5 Sk more than Boris and 5 Sk less than Cyril. Note Czech coins are 1, 2, 5, 10, 20, 50 Sk. Aleš has ___ Sk. Boris has ___ Sk and ___ Sk. Cyril has ___ Sk and ___ Sk. Together, they have ___
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