Reasoning - practice problems - page 5 of 31

Number of problems found: 613

Competitor 2
In a race, 1/12 of the competitors finished ahead of me and 7/8 of the competitors finished behind me. How many of us ran in total?
Ice rink
A rectangular ice rink measuring 15 m × 20 m needs to be covered with a layer of ice 4.5 cm thick. How many litres of water are needed to create the ice?
Rhombus 48
A large rhombus is composed of four identical smaller rhombuses, each with an area of 42 m² and an angle alpha of 60°. What is the perimeter of the large rhombus?
Equation - integers
Solve the equation for the unknown x from the set of natural numbers: 1 + 6 + 11 + 16 + … + x = 970
How much 17
How many more euros will Mrs. Eve have if she increases her savings of €2,400 in the ratio 7:5?
Sweets
There are 12 sandwiches on a plate: 5 with poppy seeds and 7 with jam. How many cheese sandwiches must be added so that the probability of randomly selecting a poppy seed sandwich is 20%?
Rows of chairs
There are 15 chairs in the first row. Each subsequent row has 3 more chairs than the previous row. How many chairs are there in the first 20 rows in total?
Penny and rolls
For one hundred crowns I need to buy exactly one hundred pieces of pastry at the following prices: rolls at 0.50 crowns each, bread at 10 crowns each, and buns at 3 crowns each. How many of each should I buy? (The Slovak koruna was the currency in Slovaki
Seventh and multiplication table
If we add one seventh of an unknown number to one sixth of it, we get 13. What is that number?
In a football
In a football tournament of eight teams, where each team played each other exactly once, points were awarded as follows: the winner received 3 points, the loser received 0 points, and in the event of a draw, each team received 1 point. At the end of the t
Hip-roof
The roof consists of two isosceles trapezoids and two isosceles triangles. The roof plan is a rectangle with dimensions of 8 m × 14 m, and the roof ridge is 8 m long. The height of each trapezoid is 5 m and the height of each triangle is 4.2 m. How many t
Stock inventory
At the beginning of each week, the stock inventory in the warehouse increases by 5% of the current level. At the end of every second week, 8% of the goods are issued from the warehouse. By what percentage will the stock in the warehouse be greater after t
Elementary Art School
The music and art department of an elementary art school is attended by 86 students. The music department is attended by 45 students and the art department by 53 students. Some students attend both departments. How many students attend both departments at
We are delayed
A train had to travel the distance from A to B at an average speed of 56 km/h. After a 1.5-hour journey from station A, the train stopped for 30 minutes. To reach station B on schedule, it had to travel the remaining distance at an average speed of 63 km/
On the board
A division problem with two positive numbers was written on the board. David noticed that if he increased the dividend by 2 and the divisor by 7, the quotient would not change. By how much should the divisor be increased so that when the dividend is incre
Three numbers
The product of three natural numbers is 600. If one factor is reduced by 10, the product decreases by 400. If another factor is increased by 5 instead, the product doubles. Which three numbers have this property?
Teeth
An adult has a total of 32 permanent teeth. How many of them are molars if 1/4 of the teeth are incisors, another quarter are molars, and the remaining quarter are canines?
Average 110
The average of five numbers is 1.3. What is their sum? What is the arithmetic mean of the numbers 0.04, 0.014, and 0.21? The arithmetic mean of four decimal numbers is 2.5. Three of these numbers are 1.8, 0.65, and 3.1. What is the fourth number?
Buses 7
Two bus lines leave the bus stop according to the following schedule: A) at 8:00, every 6 minutes until 23:00 B) at 8:00, every 14 minutes until 23:00 How many times will buses of both lines leave the bus stop simultaneously between 8:01 and 20:00?
Cinema visitors
There are 35 seats in each row of an open-air cinema. Determine the maximum number of visitors that can fit in the viewing area, given that the total number of seats is more than 705 and fewer than 740.

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