Reasoning - math word problems - page 12 of 88
Number of problems found: 1753
- Hotel theft suspicion
At the time of the theft, there were 96 people in the hotel; 61 were beyond suspicion. Of the 47 employees at the hotel, 23 are beyond suspicion. How many guests are not beyond suspicion? - Four-digit eight count
How many four-digit numbers are there in which there are at least three eights - Monogram letter combinations
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 of digits 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.
- In the basket 7
In the basket there are blue, green, purple, and red balls. Tomáš, Peter, and Jakub can distinguish colours but confuse their names. One of them confuses blue colour with green, the second green with purple colour, and the third mistook purple with red. T - We randomly We randomly select a three-digit number. What is the probability that the number 8 occurs at most once in its notation?
- Team time percentage
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 - Water lily colors
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 - Jane ring money
Jane lacked 160 crowns to buy six rings, so she only bought four and had 100 crowns left. How much are 4 rings? - Arithmetic sequence middle
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. - Theater ticket viewers
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? - Trip breakfast
90 children participated in a trip, boys and girls in the ratio 2:3. Each participant chose exactly one breakfast. Half of all boys chose variant D, a quarter of all boys chose variant C. A third of all girls chose variant A and a third of all girls chose - Ring bead combinations 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?
- Lathe part production
Four lathes machine 32 parts in 1 hour. How many parts does 1 lathe produce in 2 hours? - Diameter of a drum
Winding drum length 180 mm, initial diameter 60 mm. Using a 6 mm rope with a length of 50 m, what will be the diameter of the wound drum with the rope? - Dice sum probability
What is the probability that a roll of three dice will result in a number less than 7? - PIN even probability
What is the probability of guessing a PIN code (4 numbers) if it contains only even numbers? - Question knowledge probability
You will learn 50% of the 30 questions. If I get 4 questions, I'll know 3. - Dimensions - crate
A wooden crate with dimensions d=3 m, e=4 m, and f=3 m was placed in a transport container with dimensions a=10 m, b=4 m, and c=3 m. What is the maximum length of a straight, rigid rod of negligible diameter that can still be placed in the container in th - Heptagon triangle probability
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
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