Reasoning - practice problems - page 8 of 88
Number of problems found: 1753
- Sandwiches, cola and desserts
At a dance party, sandwiches, cola, and desserts were prepared for refreshment. 18 people ate desserts, 29 people ate sandwiches, and 32 people drank cola. Two people did not consume any kind of refreshment. All kinds were consumed by 5 people. Cola and d - Plums - a quarter
How many plums were originally in the bowl if Iva ate a quarter, Jana ate a fifth, Mike ate three eighths, and 7 were left? - Dice Rolls for Sum
Stella rolls a standard six-sided die. How many times does she have to roll the die to be sure that the sum of the results will be at least 4? - Fair
Several students from our class went on excursions and each paid the same amount. In the end, some money was left over that needed to be returned to them. If we returned €3 to each person, there would still be €5 left. If we returned €4 to each person, th - Fresh Plums for Dried
From 2 kg of fresh plums, we get 400 g of dried plums. How many fresh plums do you need for 2 kg of dried? - Apples in Basket There are 24 pieces of fruit in the basket. Apples are 2 times more than pears. How many apples are in the basket?
- Grouping - combinatorics
In how many different ways can 24 people be divided into: a) 6 groups of the same size. b) Groups of 5, 6, 7, and 6 people. c) Groups of 4, 5, 7, and 8 people. - Probability - coin When tossing a coin 4 times in a row, what is the probability that a sign will come up 3 times?
- Product 3DN
How many three-digit numbers are there whose product of digits is 5? - Different balls We have four different boxes and three identical balls. Place the marbles in these boxes so that the boxes can contain one, two, three or none. How many other locations are there?
- Finishing Tasks Earlier Nine-year-old Lucia is preparing for testing. He solves a collection of 40 tasks per day. He will need 9 days to solve all the tasks. How many days earlier would she finish if she solved 60 tasks a day?
- Numbers 6D Find out how many natural six-digit numbers exist whose digit sum is four.
- Students with Honors In the year's first half, 20% of the 8 A class students had honors. At the end of the year, 3 more students joined them, and a total of 32% of the students received the distinction. How many pupils went to 8 A?
- Good grades
At school, 10 percent of boys and 15 percent of girls achieve good grades. What percentage of students achieve good grades when 60 percent of girls are in school? - Train Set Markings
For shorter distances, small train sets are marked with three different letters from the company name run; how many small sets can be marked like this? - Wardrobe code Lucia has a lock on her wardrobe that opens with a 4-digit code (such as 0000, 0089, or 9123). Lucia forgot her code. But she knows that the sum of all four digits of her code is 4. How many such codes are there?
- Siblings 48 children participated in the school trip. Six of them had one sibling on the trip, nine children had two siblings, and four had three siblings. The others had no siblings on the trip. After returning, their parents were waiting to take the children hom
- Dividing Chocolate Fairly
Granddaughter Mia helped the old for 3 days, Ema for 2 days, and Zoja for 4 days. If the grandmother wants to reward her granddaughters fairly according to how long they have been helping her, in what proportion should she divide the chocolate among her g - Dice - 5 times We roll the dice five times. Make sentences: a) 3 events that definitely cannot happen. Write a reason for each. b) 3 events that will definitely occur; write a reason for each. Another problem: 3 events that may or may not occur for each. Write a reason.
- Married pairs
In how many ways can we seat five guests at a table, two of whom are married and want to sit next to each other?
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