Reasoning - practice problems - page 6 of 31

Number of problems found: 613

Green cards
We draw 4 cards from a deck of 32 cards. In how many ways can we draw: a) exactly 2 aces, b) exactly 3 green cards?
In the shipment
There are 40 products in a shipment, of which 4 are defective. In how many ways can 5 products be selected so that exactly 3 of them are non-defective?
February sales
A company earned only four fifths in February of what it earned in January. By what percentage did the company earn more in January than in February?
Children - dividing
What is the minimum number of nuts needed to be able to divide them equally among 10, 12, and 18 children?
Hockey - game
A hockey goalkeeper has a save success rate of 93.5%. What is the probability that he keeps a clean sheet in a match when facing 25 shots? What is the probability that he concedes at most 2 goals?
Four-digit number
George is thinking of a four-digit number and gives us the following clues: a) Its digit sum equals one hundredth of the number obtained by rounding the mystery number to the nearest hundred. b) Its last digit is 1 more than the second-to-last digit. c) T
MO Z7 2025
Adela and Susan ate plums. On the first day, Adela ate three quarters of what Susan ate that day. On the second day, Susan ate three halves of what Adela ate that day. Together, they ate 31 plums over the two days, and each girl ate a whole number of plum
Table - tablecloth
Mrs. Vránová has a square table with a side length of 110 cm. She wants to have a square tablecloth made for it so that each corner extends 25 cm beyond the edge of the table. What dimensions should the tablecloth have?
Create 2
Create a suitable table and fill in the data: Producing four machines takes a total of 80 hours. Each machine takes the same amount of time to produce. How long does it take to produce 1 machine, 2 machines, and 5 machines?
Left-handed
There are 100 people in a room, 99% of whom are left-handed. How many left-handed people must leave the room to reduce this proportion to 98%?
Thinking unknown n
I am thinking of a number. If I subtract 14 from it and multiply the result by 6, I get 210. What is the number?
Adding Sixths to Thirds
How many sixths must be added to two thirds to get four quarters?
Tank 28
A tank fills in 120 hours. When drained for irrigation, it empties in 10 days. How long will it take to fill if filling and draining occur simultaneously?
Divisible PIN
Mark's mother helped him with his shopping. She wanted to pay by card when collecting the goods in person, but she was not sure what her PIN was. Could her PIN be a number divisible by six?
Digit sum MO Z9-I-4
Determine whether it is possible to add a single-digit number to a number with a digit sum of 2,024 so that the resulting number has a digit sum of 74.
Triangles - combinations
How many different triangles with sides of whole centimetres have a perimeter of 12 cm?
Semicircles
In a rectangle with sides of 4 cm and 8 cm, there are two different semicircles, each with its endpoints at adjacent vertices and touching the opposite side. Construct a square such that two of its vertices lie on one semicircle, the other two vertices li
Four-digit numbers
Find all four-digit numbers whose decimal notation begins with a 6 and ends with a 2 and is divisible by 24.
Ways
There are 3 different roads from Lehota to Hradec and 4 different roads from Hradec to Buda. Determine the number of ways to choose a route from Lehota via Hradec to Buda and back, such that no road is used twice.
Production
A company's production in February was 15% greater than in January and 25% less than in March. By what percentage was production in March higher than in January?

Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.