Reason - practice problems - page 7 of 102
Number of problems found: 2024
- Repetition: 82003
Calculate how many different monograms (short name and surname) I can make from the letters A, E, M, Z, and K. a) with repetition: b) without repetition:
- Position 81987
Find a number with six digits. If you put the last digit before the first, you get a new number that is five times larger. The digits between must not change their position.
- We randomly
We randomly select a three-digit number. What is the probability that the number 8 occurs at most once in its notation?
- Competition 81952
All three team members took turns fulfilling the competition task without delay. The first member used up 30% of the total competition time. The second needed 10 minutes more than the first, and only 10 minutes remained for the third. What % of the total
- Lilies 81910
There are twice as many pink water lilies in the pond as yellow water lilies, but twice as few as white water lilies. Which water lilies are the most and which are the fewest? How many times more white water lilies are there than yellow water lilies? How
- Bought 81839
Jane lacked 160 crowns to buy six rings, so she only bought four and had 100 crowns left. How much are 4 rings?
- Arithmetic 81808
An increasing arithmetic sequence has an odd number of terms. The middle term is 302. If we remove the 4 largest terms from the sequence, the middle term will be 296. Determine the difference in the sequence.
- Percentage 81801
Although the price of a theater ticket rose by 20 percent, sales rose by only 8 percent. By what percentage did the number of viewers have to drop?
- Possibilities 81788
The ring consists of 4 beads. There are 5 different colors of beads in the package. How many possibilities are there to create one ring, and can the colors repeat?
- Machine 81767
Four lathes machine 32 parts in 1 hour. How many parts does 1 turner machine have in 2 hours?
- Diameter 81760
Winding drum length 180mm, initial diameter 60mm. Using a 6mm rope with a length of 50m, what will be the diameter of the wound drum with the rope?
- Probability 81679
What is the probability that a roll of three dice will result in a number less than 7?
- Probability 81678
What is the probability of guessing a PIN code (4 numbers) if it contains only even numbers?
- Questions 81676
You will learn 50% of the 30 questions. If I get 4 questions, I'll know 3.
- Dimensions 81670
A wooden crate with dimensions d=3m, e=4m, and f=3m was placed in a transport container with dimensions a=10 m, b=4m, and c=3m. What is the maximum length of a straight, rigid rod of negligible diameter that can still be placed in the container in this si
- Probability 81637
We randomly select three different points from the vertices of a regular heptagon and connect them with line segments. The probability that the resulting triangle will be isosceles is equal to: (A) 1/3 (B) 2/5 (C) 3/5 (D) 4/7
- Consecutively numbers
How many ways are there to arrange the numbers 3, 2, 15, 8, and 6 so that the even numbers are arranged in ascending order (not necessarily consecutively)?
- Classroom 81621
On a classroom clock, the large (minute) hand on the clock will travel through an angle of 120 degrees in some time. What angle does the small (hour) hand pass in this time?
- Restaurant 81584
Four students were paying the bill in the restaurant. Jan paid 7 rums and 20 beers, Adam 20 rums and 7 beers, Víťa 12 rums and 25 beers, and Dan 25 rums and 12 beers. Jan paid 20% less than Adam. By how much % less did Víťa pay than Dan?
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