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<s>[INST] If A is the largest and B is the smallest three-digit number made by drawing three out of six number cards 8, 3, 6, 5, 0, 7, find the value of (A-B) × 6 . [/INST] To find the largest three-digit number (A) using the digits 8, 3, 6, 5, 0, 7, we need to pick the three largest digits and arrange them in descendi... |
<s>[INST] From a fruit basket containing apple, peach, pear and melon, when a total of 3 fruits are taken out in order, allowing picking the same type of fruit, how many possible cases are there? [/INST] Since we are allowed to pick the same type of fruit more than once, this is a problem of permutations with repetitio... |
<s>[INST] There are 16, 22, 30, 26, 18, and 20 candies each of the 6 members of the Si-gyeong's group have. On average, how many candies does Si-gyeong's group have? [/INST] To find the average number of candies Si-gyeong's group has, we need to add up all the candies each member has and then divide by the number of me... |
<s>[INST] 20 students were lined up, and Jungkook took the first place in the line. Yoongi stood right behind Jungkook. Find the number of students standing behind Yoongi. [/INST] If Jungkook took the first place in the line and Yoongi stood right behind Jungkook, then Yoongi took the second place in the line. Since th... |
<s>[INST] When Haebin and 11 of his friends high-five each other once, how many high-fives are there? [/INST] If Haebin and each of his 11 friends high-five each other once, we can think of this as each person giving a high-five to every other person. Since there are 12 people in total (Haebin plus 11 friends), we can ... |
<s>[INST] If the elements of set A are 1/2, 1/3, 1/5 and the elements of set B are 0.2, 0.4, 0.5, 0.7, find the number of elements in the intersection of set A and B. [/INST] To find the intersection of set A and set B, we need to identify the elements that are common to both sets.
Set A: {1/2, 1/3, 1/5}
Set B: {0.2, ... |
<s>[INST] Students are standing in a line to get tested for corona. Yeonji stands right behind Jeongsu, Jeongsu stands 24th from the back, and Yeonji stands 18th from the front. Find how many students are in line. [/INST] If Yeonji stands 18th from the front, and Jeongsu is right in front of her, then Jeongsu is the 17... |
<s>[INST] I have a picture frame in the shape of a rectangle measuring 59.6 square centimeters (cm²). When four photos of the same size are inserted into this frame without overlapping, find the maximum size in square centimeters (cm2) of one photo. [/INST] If you have a picture frame with an area of 59.6 cm² and you w... |
<s>[INST] There are 28 identical bookcases in the library. Each bookcase has 6 shelves, and the number of books on each shelf is the same at 19. How many books are there in the library? [/INST] To find the total number of books in the library, we need to multiply the number of bookcases by the number of shelves in each... |
<s>[INST] How many out of 18, 15, 11, 19, and 10 are less than 15? [/INST] Out of the numbers 18, 15, 11, 19, and 10, the numbers that are less than 15 are 11 and 10. So, there are 2 numbers that are less than 15. </s> |
<s>[INST] What is the value of the smallest subtracted from the largest two-digit number that can be formed by drawing two different numbers from 1, 4, 7, and 9? [/INST] The largest two-digit number that can be formed by drawing two different numbers from 1, 4, 7, and 9 is 97 (using 9 and 7).
The smallest two-digit nu... |
<s>[INST] There are eight 15-story buildings in Joa's apartment complex. Half of these buildings have four families per floor, and the rest have five families per floor. If each household has two emergency flashlights installed, find out how many emergency flashlights are installed in Joa's apartment complex. [/INST] F... |
<s>[INST] There are 82 apples, 90 pears, 88 tangerines, and 84 melons at the fruit store, and the number of watermelons is unknown. If you divide the total number of fruits in the fruit store by 88, the quotient is 5 with no remainder. Find the number of watermelons. [/INST] Let's denote the number of watermelons as W.... |
<s>[INST] What is the volume of the largest cube that can be made by cutting a cuboid measuring 4 centimeters (cm) wide by 6 centimeters (cm) long by 5 centimeters (cm) high? [/INST] To create the largest cube from a cuboid, we need to use the smallest dimension of the cuboid as the side length of the cube. This is bec... |
<s>[INST] I want to choose 15 fruits from 4 types of fruits: apples, persimmons, pears, and tangerines. When I am trying to choose at least two from each type of fruit, how many ways can i choose? [/INST] To solve this problem, we can use the concept of combinations with restrictions. Since you want to choose at least ... |
<s>[INST] There are four numbers: 10, 11, 12, and 13. What is the sum of the smallest number and the second smallest number? [/INST] The smallest number is 10 and the second smallest number is 11.
The sum of the smallest number (10) and the second smallest number (11) is:
10 + 11 = 21 </s> |
<s>[INST] There are 3 kilograms (kg) and 300 grams (g) of strawberries. How many grams (g) of strawberries will be left if you give 1 kg (kg) and 900 grams (g) to your friend? [/INST] First, let's convert the total amount of strawberries to grams. Since there are 1000 grams in a kilogram, we have:
3 kg = 3 * 1000 g = ... |
<s>[INST] You were supposed to divide a certain number by 8 and add 7, but you mistakenly multiply by 8 and add 8, and you get 56. If you calculate correctly, find a value indicating the number to two decimal places. [/INST] Let's denote the certain number as x.
According to the mistake, you multiplied the number by 8... |
<s>[INST] If an elevator starts at 120 meters (m) above the ground and descends at a speed of 4 meters (m) per second without stopping once, find the height of the elevator 20 seconds after starting in meters (m). [/INST] To find the height of the elevator after 20 seconds, we need to calculate the distance it has desc... |
<s>[INST] You drew a right triangle on drawing paper. If the length of one non-hypotenuse is 5 and the length of the other non-hypotenuse is 12, how much would the hypotenuse's length be? [/INST] To find the length of the hypotenuse of a right triangle, you can use the Pythagorean theorem, which states that in a right ... |
<s>[INST] There are 52 hens on the farm. Hens are 16 fewer than roosters. How many chickens are there on the farm? [/INST] If there are 52 hens and they are 16 fewer than the number of roosters, we can find the number of roosters by adding 16 to the number of hens.
Number of roosters = Number of hens + 16
Number of ro... |
<s>[INST] Jungkook puts 4 and 4 together. Jimin puts 3 and 6 together. Who has the greater number? [/INST] Jungkook's numbers add up to 4 + 4 = 8.
Jimin's numbers add up to 3 + 6 = 9.
Jimin has the greater number, which is 9. </s> |
<s>[INST] How many two-digit numbers are less than 36 and greater than 29? [/INST] The two-digit numbers that are less than 36 and greater than 29 are:
30, 31, 32, 33, 34, 35
There are 6 two-digit numbers that meet the criteria. </s> |
<s>[INST] A total of 55 students participated in the game, and when counted the number of students who participated in A and B game, there were 38 and 42 students respectively. Find how many students participated in both A and B game. [/INST] Let's denote the number of students who participated in both A and B games as... |
<s>[INST] There are 3 blue balls and 5 red balls in the box. When 2 red balls are placed inside the box, how many blue balls are in the box? [/INST] The number of blue balls in the box remains unchanged at 3, regardless of the addition of red balls. </s> |
<s>[INST] ABC+ABC+ABC+ABC=1436. Find A+B+C when A, B, and C are three different numbers. [/INST] Let's first simplify the equation:
ABC + ABC + ABC + ABC = 1436
This simplifies to:
4 * ABC = 1436
Now, let's divide both sides by 4 to find the value of ABC:
ABC = 1436 / 4
ABC = 359
Now we have ABC as a three-digit ... |
<s>[INST] What is the largest multiple of 12, a three-digit number with 5 in the hundreds place? [/INST] To find the largest multiple of 12 that is a three-digit number with 5 in the hundreds place, we need to find the largest number in the 500s that is divisible by 12.
The largest three-digit number with 5 in the hun... |
<s>[INST] There are 194 men and 235 women in the museum, and 68 of them got free admission. Find how many more people paid for admission to the museum than those who got free admission. [/INST] First, let's find the total number of people in the museum by adding the number of men and women:
194 men + 235 women = 429 p... |
<s>[INST] Joo-hee and Jun-seong want to share 25 chocolates. Find how many chocolates Joo-hee ate when Joo-hee ate 1 more chocolate than twice Jun-seong ate. [/INST] Let's denote the number of chocolates Jun-seong ate as x. According to the problem, Joo-hee ate 1 more chocolate than twice what Jun-seong ate. So, Joo-he... |
<s>[INST] Seojun misunderstood the teacher's words to bring a 7/3 pizza from the next class and gave the 7/3 pizza to the next class. After giving the pizza, Seojun now has 3/2 pizza. If Seojun did the teacher's errand correctly, how many pizzas should Seojun have? [/INST] If Seojun misunderstood the teacher's words an... |
<s>[INST] The diamond-shaped roof drawn by Jaewoong has a diagonal of 16 centimeters (cm) and an area of 80 square centimeters (cm2). How many centimeters (cm) is the length of the other diagonal of this roof? [/INST] To find the length of the other diagonal of the diamond-shaped (rhombus) roof, we can use the formula ... |
<s>[INST] Find the number of numbers greater than 0.4 among 0.8, 1/2, 0.3, and 1/3. [/INST] To compare the numbers, we need to express them in the same format. Let's convert the fractions to decimals:
1/2 = 0.5
1/3 ≈ 0.333 (approximately)
Now we have the list of numbers in decimal form:
0.8, 0.5, 0.3, and 0.333
Comp... |
<s>[INST] Mihyang cut the colored paper into regular hexagons so that each side is 5 centimeters (cm) long. What is the perimeter of this regular hexagon in centimeters (cm)? [/INST] A regular hexagon has six equal sides. If each side of the hexagon is 5 cm long, then the perimeter P of the hexagon is the sum of the le... |
<s>[INST] If you multiply a number by 2 and divide it by 16, the quotient is 25. Find what the number is. [/INST] Let's call the number we are looking for "x".
According to the problem, if we multiply x by 2 and then divide it by 16, we get 25. We can write this as an equation:
(2 * x) / 16 = 25
To solve for x, we c... |
<s>[INST] You built a cuboid-shaped pond with a length of 18 meters (m), a width of 10 meters (m), and a height of 2 meters (m). If you are going to paint the inner side of the pond, how many square meters (㎡) of the pond could be painted? [/INST] To calculate the area that can be painted, we need to find the surface a... |
<s>[INST] Jungkook bought two boxes each containing three red balls. How many red balls does Jungkook have? [/INST] Jungkook has 2 boxes, and each box contains 3 red balls.
So, the total number of red balls Jungkook has is:
2 boxes * 3 red balls per box = 6 red balls
Jungkook has 6 red balls. </s> |
<s>[INST] Yeongsoo gave Hyogeun 200 won, Hyogeun gave Woong 500 won, and Woong gave Yeongsoo 1000 won. As a result, they have 2000 won respectively. How much money did Yeongsoo have at first? [/INST] Let's denote the initial amounts of money that Yeongsoo, Hyogeun, and Woong had as Y, H, and W respectively.
According ... |
<s>[INST] There are a total of 4 numbers: 0.8, 1/2, 0.5, 1/3. What is the largest of these numbers that are less than 3? [/INST] To determine the largest number less than 3 from the given list, we first need to compare the numbers. However, since they are not all in the same format, it would be easier to compare them i... |
<s>[INST] Given a map with a scale of 1/250000, find the distance in centimeters (cm) on the map of two points whose actual distance is 5 kilometers (km). [/INST] To find the distance on the map, we need to use the scale provided. The scale 1/250000 means that 1 unit on the map represents 250000 units in reality.
Firs... |
<s>[INST] Seokjin and Taehyung jumped ropes for two days yesterday and today. Seokjin did 15 more today than yesterday, and Taehyung did 12 fewer today than yesterday. If Seokjin and Taehyung jumped ropes 32 times and 58 times respectively yesterday, then find out who skipped more ropes today. [/INST] Let's denote the ... |
<s>[INST] Aunt Yujeong gave three carrots to her nephew, Yoongi. Yoongi's older sister received 4, but she gave 2 to Yoongi again. How many carrots does Yoongi have? [/INST] Yoongi initially received 3 carrots from Aunt Yujeong. His older sister received 4 carrots but gave 2 to Yoongi. So, we add the 2 carrots from his... |
<s>[INST] There are numbers 0.8, 1/2, and 0.9. Find the greatest number among the given numbers less than or equal to 0.6. [/INST] Among the given numbers 0.8, 1/2 (which is 0.5), and 0.9, the only number that is less than or equal to 0.6 is 1/2 (0.5). Therefore, the greatest number among the given numbers that is less... |
<s>[INST] Jimin is trying to subtract a number from 34. If the result of mistakenly dividing 96 by a number is 6, find the correct result. [/INST] First, let's find the number that was mistakenly used to divide 96 by, which resulted in 6.
If 96 divided by a number equals 6, then the number can be found by reversing th... |
<s>[INST] If you write down the numbers 1 through 50 once on a piece of paper, find how many times you write 1. [/INST] To find out how many times the digit "1" appears when writing the numbers from 1 to 50, we can break it down into two parts: the number of times "1" appears as a tens digit and the number of times "1"... |
<s>[INST] The box, which had 12 identical children's books inside, weighed 11.48 kilograms (kg). When 4 children's books were removed from the box, it weighed 8.12 kilograms (kg). What is the weight of the empty box in kilograms (kg)? [/INST] To find the weight of the empty box, we first need to determine the weight of... |
<s>[INST] How many of 0.9, 5/10, 1, 7/10, and 1.2 are greater than 0.8? [/INST] To determine how many of the given numbers are greater than 0.8, we can compare each number to 0.8:
0.9 is greater than 0.8.
5/10, which is equal to 0.5, is not greater than 0.8.
1 is greater than 0.8.
7/10, which is equal to 0.7, is not g... |
<s>[INST] There is a rectangular farm. The length of the long side is 1 kilometer (km), and the length of the short side is 2/8 km (km) shorter than the length of the long side. How many kilometers (km) will you have to walk if you walk around the farm once? [/INST] First, let's find the length of the short side. Since... |
<s>[INST] Junyoung has a hoop with a diameter of 50 centimeters (cm). After rolling this hoop several times, it moved forward by 6 meters (m) and 28 centimeters (cm). If the pi is 3.14, how many times does the hoop need to be rolled? [/INST] To find out how many times the hoop needs to be rolled to move forward by 6 me... |
<s>[INST] Subtracting 2 twice from a certain number results in 5. What is the certain number? [/INST] Let's call the certain number "x". If we subtract 2 twice from x, we get 5. Mathematically, this can be represented as:
x - 2 - 2 = 5
Now, let's solve for x:
x - 4 = 5
x = 5 + 4
x = 9
So, the certain number is 9. <... |
<s>[INST] Heejin and Heechul are collecting books. Heechul has 2 more books than Heejin. Dongkyun has fewer books than Heejin. Which of the three has the most books? [/INST] Heechul has the most books because he has 2 more books than Heejin, and Dongkyun has fewer books than Heejin. </s> |
<s>[INST] If there are 6 students in the auditorium, find the number of cases in which 1 class president, 1 moderator, 1 vice-president, and 1 assistant moderator are selected. [/INST] To find the number of cases in which 1 class president, 1 moderator, 1 vice-president, and 1 assistant moderator are selected from 6 st... |
<s>[INST] A truck travels 2.1 kilometers (km) in 1 minute at a constant speed, while a taxi covers 10.5 km in 4 minutes. Which vehicle is quicker, the taxi or truck, by how many times? [/INST] To determine which vehicle is quicker, we need to calculate the speed of each vehicle and compare them.
For the truck:
Speed =... |
<s>[INST] Find the sum of the numbers that are greater than or equal to 1.1 among the five numbers 1.4, 9/10, 1.2, 0.5, and 13/10. [/INST] First, let's convert all the fractions to decimal form to make it easier to compare:
9/10 = 0.9
13/10 = 1.3
Now, let's identify the numbers that are greater than or equal to 1.1:
... |
<s>[INST] In a right triangle, if the length of the non-hypotenuse is 6 and the length of the hypotenuse is 10, what is the length of the other side? [/INST] To find the length of the other side of a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of t... |
<s>[INST] Seungmin picked up 4.56 kilograms (kg) of chestnuts and Hyein picked up 10 times as much as 462 grams (g). Who picked up more chestnuts, Seungmin or Hyein? [/INST] First, let's convert Hyein's chestnuts from grams to kilograms to compare with Seungmin's chestnuts.
Hyein picked up 10 times as much as 462 gram... |
<s>[INST] Subtracting 27 from a number gives 46. What is the number multiplied by 46? [/INST] Let's call the number "x". According to the given information:
x - 27 = 46
To find the value of x, we add 27 to both sides of the equation:
x - 27 + 27 = 46 + 27
x = 73
Now, we need to multiply the number (x) by 46:
73 * ... |
<s>[INST] Subtracting 174 from a number and multiplying it by 19 yields 3439. What is a number? [/INST] Let's call the number "x". According to the problem, if we subtract 174 from x and then multiply the result by 19, we get 3439. We can write this as an equation:
19 * (x - 174) = 3439
Now, let's solve for x:
First... |
<s>[INST] What is the surface area of a cuboid that is 8 centimeters (cm) wide, 5 centimeters (cm) long, and 10 centimeters (cm) height? [/INST] To find the surface area of a cuboid, you need to calculate the area of each of the six faces and then sum them up. A cuboid has three pairs of opposite faces: the front and b... |
<s>[INST] Hosok bought a few centimeters (cm) of wire and cut a length equal to the circumference of an equilateral triangle with a side length of 19 centimeters (cm). If the wire left after cutting is 15 centimeters (cm), what is the length in centimeters (cm) of the wire that Hoseok bought? [/INST] To find the length... |
<s>[INST] Find the number of vertices of a pentagonal prism. [/INST] A pentagonal prism has two pentagonal bases and five rectangular faces. Each pentagonal base has 5 vertices. Since there are two bases, the total number of vertices for the bases is 5 + 5 = 10.
However, each vertex on the base is connected to a corr... |
<s>[INST] If you double the length of each edge of a cube, how many times bigger does the cube's surface area become? [/INST] If you double the length of each edge of a cube, the new edge length will be 2 times the original edge length.
Let's say the original edge length of the cube is "a". The surface area of the ori... |
<s>[INST] A number needs to be multiplied by 3, but you accidentally multiplied it by 6 and it ended up being 42. What is the correct calculation result? [/INST] If the number was accidentally multiplied by 6 to get 42, we can find the original number by dividing 42 by 6:
42 ÷ 6 = 7
Now, to find the correct result wh... |
<s>[INST] Find how many grams (g) of water evaporated from 300 grams (g) of 4% sugar water to make 10% sugar water. [/INST] To find out how many grams of water evaporated, we need to calculate the amount of sugar in the original solution and then determine how much water needs to evaporate to reach a 10% concentration.... |
<s>[INST] If 5 students, 2 of whom are elementary school students, are lined up, how many ways can the elementary school students stand at either end? [/INST] To solve this problem, we need to consider the positions of the elementary school students first, as they must be at either end of the line.
There are 2 possibl... |
<s>[INST] The subway is moving 1.6 kilometers (km) per minute. If the distance between the previous station and this station is 4.85 kilometers (km), and it took 3 minutes and 15 seconds to pass this station completely from the previous station, how long is the subway in meters (m)? [/INST] First, let's convert the tim... |
<s>[INST] What is the smallest five-digit number that is a multiple of 9 and a multiple of 6 and a multiple of 2? [/INST] To find the smallest five-digit number that is a multiple of 9, 6, and 2, we need to find the least common multiple (LCM) of these numbers. However, since 6 is a multiple of 2 (6 = 2 * 3), any numbe... |
<s>[INST] You have 200 grams (g) of salt water with a concentration of 25%, and 60 grams (g) of salt are dissolved in another 300 grams (g) of salt water. What is the percent concentration of the salt water when these two salt water are mixed? [/INST] First, let's find out how much salt is in each solution before mixin... |
<s>[INST] The diameter of a circle is 26 centimeters (cm). Then how long is the radius in centimeters (cm)? [/INST] The radius of a circle is half the diameter. So, if the diameter of the circle is 26 centimeters, the radius would be:
Radius = Diameter / 2
Radius = 26 cm / 2
Radius = 13 cm
Therefore, the radius of th... |
<s>[INST] One piece of colored paper is a square with sides measuring 30 centimeters (cm). What is the area of this piece of colored paper? [/INST] The area of a square can be calculated using the formula:
Area = side × side
Given that each side of the square is 30 cm, we can calculate the area as follows:
Area = 30... |
<s>[INST] Three of the number cards from 1 to 9 were drawn to make the number 735. How many number cards drawn have a value greater than 4? [/INST] The number 735 is composed of the digits 7, 3, and 5. To determine how many of these digits are greater than 4, we simply count them:
- 7 is greater than 4
- 3 is not gre... |
<s>[INST] Some polygons are said to have six diagonals drawn from one vertex. How many vertices does this polygon have? [/INST] The number of diagonals (D) that can be drawn from one vertex of a polygon is given by the formula:
D = n - 3
where n is the number of vertices of the polygon.
Given that the polygon has si... |
<s>[INST] There is a bill with a width of 3 centimeters (cm) and an area of 1.77 square centimeters (cm2). How many centimeters (cm) is the length of this bill? [/INST] To find the length of the bill, we can use the formula for the area of a rectangle, which is:
Area = Length × Width
We are given the area (1.77 cm²) ... |
<s>[INST] What is the largest number that can be made by using the number cards 7 and 3 all once? [/INST] The largest number that can be made using the number cards 7 and 3, each only once, is 73. </s> |
<s>[INST] Hyejin's monthly evaluation score is 82 for ethics, 90 for Korean language, 88 for science, and 84 for social studies. The score for mathematics is unknown. When the average score is 88, what is the score for mathematics? [/INST] To find the score for mathematics, we first need to calculate the total score fo... |
<s>[INST] There are pigs and chickens on Seungwoo's farm. Chickens outnumber pigs by 12. Also, the sum of the number of chickens and the number of pigs is 40 more than 12. Find the product of the number of chickens and the number of pigs. [/INST] Let's denote the number of pigs as P and the number of chickens as C.
Ac... |
<s>[INST] There are three points that are not on a straight line. How many straight lines are possible with these three points? [/INST] With three points that are not on a straight line, you can form three distinct straight lines by connecting each pair of points. Each line is formed by connecting two points, and since... |
<s>[INST] What number must be in B to make A3B-41=591? [/INST] To find the number that must be in B to make A3B - 41 = 591, we need to solve for B.
Let's first add 41 to both sides of the equation to isolate A3B:
A3B - 41 + 41 = 591 + 41
A3B = 632
Now we have A3B = 632, where A and B are digits in a three-digit numb... |
<s>[INST] What is the largest two-digit number that is both a multiple of 3 and a multiple of 5? [/INST] To find the largest two-digit number that is a multiple of both 3 and 5, we need to find the largest two-digit number that is a multiple of their least common multiple (LCM).
The LCM of 3 and 5 is 15, since 3 and 5... |
<s>[INST] Jungkook collected 6 divided by 3, Yoongi collected 4, and Yuna collected 5. Who got the biggest number? [/INST] Jungkook collected 6 divided by 3, which equals 2. Yoongi collected 4, and Yuna collected 5.
Comparing the numbers:
- Jungkook: 2
- Yoongi: 4
- Yuna: 5
Yuna collected the biggest number, which i... |
<s>[INST] There is a flower garden in the shape of a rectangle measuring 5 meters (m) long and 17/20 meters (m) wide. Find the area in square centimeters (cm2) of this flower field. [/INST] To find the area of the rectangle, we multiply the length by the width. However, we need to convert the measurements to centimeter... |
<s>[INST] What is the sum of 8 groups of 100 and 7 groups of 10 and count it 5 jumps in increments of 10? [/INST] First, let's calculate the sum of 8 groups of 100 and 7 groups of 10.
8 groups of 100 is 8 x 100 = 800
7 groups of 10 is 7 x 10 = 70
Now, add these two sums together:
800 + 70 = 870
Now, we will count i... |
<s>[INST] The academy is on the 7th floor. The reading room is 4 floors higher than the academy, and the bookstore is 9 floors lower than the reading room. What floor is the bookstore on? [/INST] The reading room is 4 floors higher than the academy, which is on the 7th floor. So the reading room is on the 7th floor + 4... |
<s>[INST] If you multiply a variable by 5 and then by 7, you get 5 and 4/9. Find the variable to two decimal places. [/INST] Let's denote the variable as \( x \).
According to the problem, if you multiply \( x \) by 5 and then by 7, you get 5 and 4/9, which can be written as a mixed number \( 5 \frac{4}{9} \) or as an... |
<s>[INST] If we divide the father's age by the son's age, the result was 3, 7 years ago. Their ages will combine to 74 after 8 years. What will be the age of the father in 8 years' time? [/INST] Let's denote the current age of the father as F and the current age of the son as S.
From the information given, we have two... |
<s>[INST] There are six numbers 3/2, 2.3, 1/5, 1.1, 5/2, 4/5. How many of these numbers are greater than 1 and less than 2? [/INST] To determine which numbers are greater than 1 and less than 2, we need to compare each number to the values 1 and 2.
Let's evaluate each number:
1. \( \frac{3}{2} \) or 1.5: This number ... |
<s>[INST] 4 students said one number each. The sum is 531, and the sum of the numbers uttered by the first student and the second student is 31 greater than the sum of the numbers spoken by the third and fourth students, and the third student said a number 22 greater than that of the fourth student. What number did the... |
<s>[INST] The number of questions answered by 6 people in Dongwoo's group is 16, 22, 30, 26, 18, and 20. On average, how many questions did Dongwoo's group get right? [/INST] To find the average number of questions answered correctly by Dongwoo's group, we need to add up the total number of questions answered correctly... |
<s>[INST] Machine A makes 8 products per minute, and machine B makes 10 products per minute. When started making products at the same time, machine B made 100 products. How many more products did machine B make than machine A? [/INST] If machine B made 100 products, we need to determine how long it took for machine B t... |
<s>[INST] On Halloween, Jimin gave 25 candies to Yuna and gave all the remaining 13 candies to her sister. How many candies did Jimin have at first? [/INST] Jimin gave 25 candies to Yuna and then gave the remaining 13 candies to her sister. To find out how many candies Jimin had at first, we need to add the candies giv... |
<s>[INST] There are 15 consecutive natural numbers between 52 and a certain number. If the certain number is greater than 52, which number is in the middle between 52 and the certain number? [/INST] If there are 15 consecutive natural numbers between 52 and a certain number, then the total number of numbers including 5... |
<s>[INST] Subtract 263 from a certain number and add 419, resulting in 725. Find the number. [/INST] Let's call the certain number "x". According to the problem, if we subtract 263 from x and then add 419, the result is 725. We can write this as an equation:
x - 263 + 419 = 725
Now, let's solve for x:
x + 419 - 263 ... |
<s>[INST] Four students: Jimin, Yoongi, Taehyung, and Namjoon, are standing in a line. Yoongi stands ahead of Namjoon, and Jimin is ahead of Yoongi. If Taehyung is behind Namjoon, who stands at the very last? [/INST] If Yoongi stands ahead of Namjoon and Jimin is ahead of Yoongi, the order from front to back so far is ... |
<s>[INST] If a brick is 9 centimeters (cm) wide, 4 centimeters (cm) long, and 7 centimeters (cm) high, how many cubic centimeters (cm3) of volume does it have? [/INST] To find the volume of a rectangular prism (which is the shape of the brick), you multiply its length by its width by its height.
So, the volume V of t... |
<s>[INST] How many natural numbers from 1 to 100 have a remainder of 2 when divided by 5? [/INST] To find the natural numbers from 1 to 100 that have a remainder of 2 when divided by 5, we can look for numbers that fit the form:
5n + 2
where n is a non-negative integer.
Starting with n = 0, we get:
5(0) + 2 = 2
Inc... |
<s>[INST] A car runs at 92 kilometers (km) per hour, and B car runs at 1500 meters (m) per minute. Which of the two is faster? [/INST] To compare the speeds of the two cars, we need to convert their speeds to the same units. Let's convert car B's speed from meters per minute to kilometers per hour.
First, we convert m... |
<s>[INST] A friend gave the following problem to Taewon. "One of the edges of the regular hexagonal pyramid is 8 centimeters (cm) and the other is 13 centimeters (cm). So what is the sum of all the edges of the regular hexagonal pyramid?" What should Taewon answer to get the problem right? [/INST] To solve this problem... |
<s>[INST] Dongwoo, Minyeop, and Seongjeong each received a cookie box containing equal amounts of cookies. If Dongwoo shared it with 7 meals, Minyeop with 8 meals, and Seongjeong with 5 meals, who ate the most cookies at one time? [/INST] To determine who ate the most cookies at one time, we need to divide the total nu... |
<s>[INST] Hyeonjeong, Seulgi, Miran, and Hocheol are trying to stand in one line. How many different ways are there to line up? [/INST] To determine the number of different ways to line up Hyeonjeong, Seulgi, Miran, and Hocheol, we can use the concept of permutations since the order in which they stand matters.
There ... |
<s>[INST] There are cards with numbers from 1 to 6. Find the number of ways Yuni chooses a card with an even number inscribed. [/INST] The even numbers from 1 to 6 are 2, 4, and 6. There are three even numbers, so Yuni has 3 different ways to choose a card with an even number inscribed. </s> |
<s>[INST] When a number is divided by 5, the quotient is 248 and the remainder is 4. When this number is divided by 9, what is the sum of the quotient and the remainder? [/INST] First, let's find the original number using the information given for division by 5.
When a number is divided by 5 and the quotient is 248 wi... |
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