Sets + natural numbers - practice problems
Number of problems found: 40
- A shopkeeper 5
A shopkeeper sold some sets of Pencils and Pens. Each set contained 6 pencils and 2 pens. If the shopkeeper sold 112 pencils and pens, how many pens did she sell altogether? - Positive integer integral
How many different sets of a positive integer in the form (x, y, z) satisfy the equation xyz=1400? - Senior students
There are 7000 students at mountain high school, and 2/7 of these students are seniors. If 2/5 of the seniors favor the school forming a debate team and 3/8 of the remaining students, not seniors, are also forming a debate team, how many students do not f - Ordered pairs
Given: Set T = {(1,2), (2,3), (3,4), (4,5), (5,5), (6,7), (6,6), (7,8), (8,9), (9,9), (9, 10), (11,12), (12,13), (13,14), (15,16), (16,16), (17,18), (18,19), (20,21)} Find the probability of having an ordered pair wherein the second element is greater tha
- Probability 73654
We roll two dice. One is 6-walled, and the other is 8-walled. What is the probability that at least one unit will fall? - Two-thirds 73104
The company has 120 employees, two-thirds of whom are women. Of the women, only a quarter speak both English and German. How many women talk in English and German? - Different 66994
There are 180 balls in three different colors in the bag. What is the smallest number of marbles to be selected so that there are at least 3 of the same color among them if the marble of the same color is the same in all three colors? - Face combinations
If I have 20 sets of eyes, 20 noses, and 20 months, how many unique face combinations can I make? - AND-NOT-AND
If P is the set of multiples of 2, Q is the set of multiples of 3, and R is the set of multiples of 7, the following integers will be in P and Q but not in R: A=−54 B=−50 C=42 D=100 E=252
- Children 58031
The children talked about how they spent the holidays at school. 2/3 of them were on holiday with their parents. There were ten children by the sea, which is 5/8 of those who were on vacation. How many children are in the class of children? - The freshman
The freshman was held at the activity center with 12567 seats. If people did not occupy 120 sets, how many seats are occupied? - Intersect of sets
Refer to the sets below: U = {1,2,3,. .. ,10} A = {1,2,3,4,5} B = {2,4,6,7,8} C = {4,5,6,8,10} A ∩ B ∩ C = ___ - A fifth
A fifth-grade class sets up 418 chairs for a graduation ceremony. Each row has 22 chairs. How many rows of chairs does the class set up? Enter your answer in the box. - There 11
There are 50 pupils in the class. Out of this number, 1/10 speak French only, and 4/5 of the ten speak French and English. If the rest speak English only, find the number of students who speak only English.
- The collector
Harry liked to collect old movies. On four different days, he bought two movies. On two other days, he purchased three movies each day. After that, he sold two sets of 2 movies. He figured out how many he had in total, and then he divided that total into - They bought
They bought the students a set of notebooks for 65 euros. The first set cost € 2 and the second € 3. There were five times as many two-euro as three-euro sets. How many sets of workbooks are there? - Solutions 41771
There were 32 toys on the toy store shelf. We know that there were 19 cars with these toys. We also know that 18 of these toys were made of wood. How many wooden cars were on the shelf? Find at least two solutions. - Divisors 40571
All common divisors of headings 90 and 48 - Simultaneously 37091
Ten children came to the art circle. Eight children painted and nine, I guess. How many children did I paint with, and I think simultaneously?
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