Reasoning - math word problems - page 35 of 87

Number of problems found: 1735

Mr. Michal
Mr. Michal commutes to work and back on the motorway. Sometimes he is in a hurry and exceeds the permitted speed, at other times he follows the rules. Sometimes on the motorway the speed is checked by radar, and at other times not. a) how many different c
Barrel water remaining
There were 50 liters of water in two barrels. Kate took several liters from the first barrel and watered the vegetables in the garden. From the second barrel, Kevin took as much water as was left in the first barrel and watered the flowers. How many liter
Six questions test
There are six questions in the test. There are three answers to each - only one is correct. To take the exam, students must answer at least four questions correctly. Alan didn't learn, so he circled the answers only by guessing. What is the probability th
Six workers
Six workers earned a total of CZK 12,600 per week on the construction site (5 working days). How much do seven workers earn in 10 days with the same daily average salary?
On Turtle Island
The weather on Turtle Island is unusual. It always rains on Mondays and Wednesdays, it is foggy on Saturdays, and the sun shines on all other days. A group of tourists want to come to the island for a 44-day holiday. What day should the holiday start so t
Columns of two and three
When students in one class stand in columns of two, there is none left. When he stands in columns of three, there is one student left. There are five more double columns than three columns. How many students are in the class?
Ticket code combinations
Tickets have 9 numbered windows. How many different codes can be set for each other if 3 or 4 windows are punched?
Triangle cone rotation
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 6 cm, longer pendant 8
Research in school
For particular research in high school, four pupils are selected from a class of 30 pupils. Calculate the number of all possible results of the selection and further calculate the number of all possible results if it depends on the order in which the stud
Three-digit numbers
We have digits 0, 1, 4, and 7 that we cannot repeat. How many three-digit numbers can we write from them? You can help by listing all the numbers.
Four-digit numbers
Find four-digit numbers where all the digits are different. For numbers, the sum of the third and fourth digits is twice the sum of the first two digits, and the sum of the first and fourth digits is equal to the sum of the second and third digits. The di
Birthday paradox
How large must a group of people be so that the probability of at least two people sharing a birthday is greater than 90%?
Reconstructing highway
Three groups take turns reconstructing one piece of highway. The first group would finish the job themselves in 40 working days. The second group is in 24 working days, and the third group is in 30 working days. How many days do you do it together?
3 pupils
Three pupils cleaned 10 meters of the stream in 1 hour. How many meters of the stream will clean 18 students in 4 hours?
Quiz or test
I have a quiz with 20 questions. Each question has four multiple-choice answers, A, B, C, D. THERE IS NO WAY TO KNOW THE CORRECT ANSWER OF ANY GIVEN QUESTION, but the answers are static, in that if the "correct" answer to ; 1 = C, then it will always be e
Lenka Lukas age
Helen is three times younger than her brother Luke; they are 20 years old. How old is Helen, and how many are Luke?
Probability
How probable is a randomly selected three-digit number divisible by five or seven?
Five letters
How many ways can five letters be arranged?
Short-circuit and fuse
An external circuit with a resistance of 3.8 Ω is connected to an electrical voltage source with Ue=12 V. A current of 3 A passes through the circuit. Find: 1. source terminal voltage, 2. the internal resistance of the source, 3. maximum short-circuit cur
Company employee calculation
Among all employees of one company, there are a total of 20% men and 80% women. If this company hired 45 new employees, of which 32 were men and 13 were women, exactly 30% of the company's employees would be men. Determine how many employees the company h

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