Reasoning - practice problems - page 9 of 31
Number of problems found: 613
- Administrative
There are 21 employees working in a warehouse: manual workers and clerical workers. When wages were adjusted, the daily wage of each clerical worker was reduced by €3 and the daily wage of each manual worker was increased by €2, resulting in the total dai - Test class results
Eighth-grade test results: 8D =? 8B = 47 8 A = 44 8E = 37 8 C = 28 Class 8 A achieved exactly the average result. How many points did the winning class 8D get? By what % is class 8B more successful than class 8 C? - Class grade average There are 30 students in the class. Five had a mark three — other twos and ones. The average grade was 1.9. How many students got mark one?
- Tetrahedron water level
A container shaped like a rotating cylinder with a base radius of 5 cm is filled with water. If a regular tetrahedron with an edge of 7 cm is immersed in it, how much will the water level in the container rise? - Republican calendar conversion
In the republican calendar (used in France from 1793 to 1805), one full day was divided into 10 hours; each hour had 100 minutes, and each minute had 100 seconds. What time would the clock show at that time when today's clock reads 15:36? - PIN probability number
The mobile PIN has 4 characters. What is the probability that the PIN contains the number 7 and ends with the number 5? - Banknote cash register
Cashier Samuel had a total of 20 banknotes in the cash register with a total value of 850 euros. They were only €50 and €20 notes. How many of each bill did he have? - Shape perimeter fourth
Péta composed several planar shapes from mutually congruent triangles. The circumferences of the first three are 8 cm, 11.4 cm, and 14.7 cm, respectively. Determine the perimeter of the fourth shape. - Spider fly legs
There are spiders and flies on the window. They have a total of 38 legs. How many spiders and flies are there if a spider has 8 legs and a fly has 6? Just give one solution. - Class weight average
There were 31 students in the class, and the arithmetic average weight was 43 kg. Calculate the average weight in the class if a student weighing 91 kg has been added to the class. - Jane bought
Jane bought several identical lined notebooks, several identical squared notebooks, and several identical compasses at a stationery store. Two lined notebooks and two squared notebooks cost a total of 180 crowns. Two squared notebooks cost the same as thr - Number sum divisibility
Adam wrote the following sum with five secret adders: a + bb + ccc + dddd + eeeee. He revealed that the characters "a, b, c, d, e" represent the different digits 1, 2, 3, 4, and 5 and that the resulting sum is divisible by 11. Which is the smallest and wh - Cinema seating ways
How many different ways can Millie, Peter, Joseph, and Renata sit next to each other in a cinema if Millie always sits in seat 1 and Peter always sits in seat 4? List all possibilities. - Odd number sum Determine the sum of all positive odd numbers less than 78
- Bag marble yellow
The bag has 5 red, 7 white, 10 yellow, and 6 black balls. At least how many marbles must be drawn from the bag to ensure that there will be 3 yellow ones among the drawn balls? - Clock hand angle
Calculate in degrees the size of the acute angle made by the hands of the clock at half past six. - Club members
The fan club has 275 members. Some members went to the match by train. Determine how many members rode when they could fill the wagons with either 60 or 80 seats. - Cube cuboid minimum
Let us have a cube whose edge length is expressed in centimeters and is a natural number. What is the smallest number of such identical cubes that can be made into a cuboid with dimensions of 24 cm, 32 cm, and 60 cm? How long will the edge of these cubes - Probability - shelf
Ten books are placed randomly on one shelf. Find the probability that certain three books are placed next to each other. - Classmate strawberry baskets
Three classmates worked part-time during the summer vacation harvesting strawberries. Jan collected 145 baskets of strawberries during the entire brigade. Peter collected 185 baskets. How many baskets did their classmate Stan collect if we know that the b
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