Reasoning - math word problems - page 30 of 31

Number of problems found: 613

A license
A licence plate has three letters followed by four digits. Letters may not be repeated, but digits may be repeated. If plates are issued at random, what is the probability that the three letters are in alphabetical order and the four digits are consecutiv
Sequentially pick
There are 6 different tickets marked with numbers 1 to 6 in the pocket. In how many different ways can we sequentially, taking into account the order, choose three of them, if the chosen tickets return to the pocket?
Round table
Eight people are sitting at a round table. In how many ways can they be seated around the table?
All pairs
Find all pairs (m, n) of natural numbers for which is true: m s (n) = n s (m) = 70, where s(a) denotes the digit sum of the natural number a.
Group of children
There is a group of children. There is a boy named Adam in each of the three children subgroups and a girl named Beata in each quartet (four-member subgroup). How many children can be in such a group, and what are their names in that case?
Soccer ball
Calculate how many soccer balls (the volume of one is 7,200 cm³) theoretically fit into a room with dimensions of 8x5x3 m. Neglect the gaps between the balls.
Eight chairs
There are eight chairs by the table, and one more child sitting on each one. There are two times more girls than boys. How many girls and how many boys can there be?
Student work percentage
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?
Double-track line
A 160 m long passenger train runs on a double-track line in one direction at a constant speed of 54 km/h, and a 240 m long express train in the opposite direction. a) How fast is the express train if passing the passenger train driver for 6 s? b) How long
Dance ensembles
Four dance ensembles were dancing at the festival. None had less than ten and more than 20 members. All dancers from some of the two ensembles were represented in each dance. First, 31 participants were on the stage, then 32, 34, 35, 37, and 38. How many
Set element
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
First-year university students choose a foreign language. Of 120 enrolled students, 75 chose English, 65 chose German, and 40 chose both English and German. Using a Venn diagram, determine: - how many students chose only English, - how many students chose
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?
Light bulbs
You are in a room with 3 switches. In the next room, there are 3 switched-off classic light bulbs in table lamps; each switch belongs to one light bulb. You cannot see from one room to the other. How do you find out which switch belongs to which light bul
Even number writing
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?

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