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<s>[INST] 20 students stood in a line. Jungkook is in line for first place, and there are 5 students between Yoongi and Jungkook. How many students are standing behind Yoongi? [/INST] If Jungkook is in line for first place, and there are 5 students between him and Yoongi, then Yoongi is in the 7th place in line (since ...
<s>[INST] The auditorium of Seoyoon's school is 1105 square meters (㎡), and the school has 650 students. The auditorium of Yerim's school is measured as 1440 square meters (㎡), and 960 students are attending the school. Which school has a larger auditorium per student? [/INST] To find out which school has a larger audi...
<s>[INST] Dividing a certain number by 4, adding 25, and multiplying by 3, results in 150. Find the certain number. [/INST] Let's call the certain number "x". According to the problem, we have the following equation: ( (x / 4) + 25 ) * 3 = 150 Now, let's solve for x step by step. First, we'll divide both sides of th...
<s>[INST] Hyeoncheol bought jelly with half of the money he had, and candy with half of the money he had left. If the remaining money was 1250 won, how much money did Hyuncheol have at the beginning? [/INST] Let's denote the total amount of money Hyeoncheol had at the beginning as \( X \). He spent half of his money o...
<s>[INST] A is a single-digit number. Rounding down A27 from the hundreds place results in 200. What is A? [/INST] Rounding down A27 from the hundreds place to the nearest hundred results in 200. This means that the number A27 must be between 200 and 299 inclusive. Since A is a single-digit number, the only digit that ...
<s>[INST] If the circumference of a rectangular book is 100 centimeters (cm) and the width is 20 centimeters (cm) when viewed from the front, what is the length of this book? [/INST] The circumference of a rectangle, when viewed from the front, is actually the perimeter of the rectangle. The perimeter of a rectangle is...
<s>[INST] Hyunseo wants to exchange Korean money for Chinese money. It takes 161.5 Korean won to get 1 Chinese yuan. If you want to change 170,000 won in Korean money into 1000 yuan and 10 yuan in Chinese money, find how many 10 yuan you can get when you exchange as many 1000 yuan as possible. [/INST] First, let's find...
<s>[INST] Among the students in Jimin's class, 38 students like Korean, 39 students like math, and 32 students like both Korean and math. If there is no student who does not like both Korean and math, how many students are in Jimin's class? [/INST] To find the total number of students in Jimin's class, we need to use t...
<s>[INST] There are four numbers 10, 11, 12, and 13. What do you get if you multiply the smallest number by the second smallest number? [/INST] The smallest number is 10 and the second smallest number is 11. Multiplying these two numbers together gives: 10 * 11 = 110 So, if you multiply the smallest number by the s...
<s>[INST] What is the diameter in centimeters (cm) of a solid figure obtained by rotating a semicircle with a radius of 4 centimeters (cm) once around its diameter? [/INST] When a semicircle is rotated around its diameter, it forms a three-dimensional shape known as a sphere. The diameter of the sphere is the same as t...
<s>[INST] If you hand out 24 apples and 36 tangerines equally to many students as possible, how many students can you give? [/INST] To find out how many students you can give the apples and tangerines to equally, you need to find the greatest common divisor (GCD) of the two numbers, which is the largest number that div...
<s>[INST] When 14 is divided by 3, the quotient is A and the remainder is 2. Find A. [/INST] To find the quotient A when 14 is divided by 3, we can use the following division equation: 14 = 3 * A + 2 Here, A is the quotient and 2 is the remainder. To find A, we can rearrange the equation to solve for A: A = (14 - 2)...
<s>[INST] For line segment AB with a length of 12 centimeters (cm), if point M is the midpoint of line segment AB and point N is the midpoint of line segment AM, find the length of segment NM. [/INST] Since point M is the midpoint of line segment AB, the length of AM is half the length of AB. Therefore, the length of A...
<s>[INST] I added 36 to a number and it resulted in 71. Find the result of adding 10 to the number. [/INST] Let's call the number you're referring to as "x". According to the information given: x + 36 = 71 To find the value of x, we subtract 36 from both sides of the equation: x + 36 - 36 = 71 - 36 x = 35 Now, to f...
<s>[INST] 58 people got off at the train's first stop and 37 got on at the next station. If there were 123 people on the train at first, how many people are still left? [/INST] At the first stop, 58 people got off, so the number of people on the train decreased to: 123 - 58 = 65 people At the next station, 37 people ...
<s>[INST] It is said that a polygon can draw one diagonal from one vertex. Find the number of sides of this polygon. [/INST] A diagonal of a polygon is a line segment that connects two non-adjacent vertices. If a polygon can draw only one diagonal from one vertex, it means that there are only two non-adjacent vertices ...
<s>[INST] Eunji is standing in the 8th column from the left, the 14th column from the right, the 7th row from the front, and the 15th row from the back and doing gymnastics. If the number of students standing in each row is the same, how many students are doing gymnastics? [/INST] To find the total number of students d...
<s>[INST] The museum has 500 paintings. If all pictures are numbered from 1 to 500 in order, find how many times the number 4 is written in each picture. [/INST] To find out how many times the number 4 appears in the numbering from 1 to 500, we can break it down into different place values: units, tens, and hundreds. ...
<s>[INST] Seokjin's Korean score is 93 points, and his English score is 91 points. If the average score of Korean, English, and Math is 89, what is his math score? [/INST] To find Seokjin's math score, we first need to calculate the total points he has for Korean, English, and Math combined, based on the average score....
<s>[INST] There are buses that depart only when there are more than 15 and no more than 30 people. If there are 9 people on the bus right now, find out how many more people need to get on the bus before it starts. [/INST] To determine how many more people need to get on the bus before it starts, we need to calculate th...
<s>[INST] I tried to hand out 98 tangerines equally to 12 people, but a few tangerines were short. I want to buy a few more tangerines so that I can hand them out equally. If the price of one tangerine is 450 won, at least how much more do I need? [/INST] To find out how many more tangerines you need to buy to hand the...
<s>[INST] A piece of paper is in the shape of a right triangle with a hypotenuse length of 13 and the non-hypotenuse side length of 12. What is the length of the other side? [/INST] To find the length of the other side of the right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the...
<s>[INST] I mistakenly added 0.42 which should have subtracted from a number, and I ended up with 0.9. How much would it be if I counted correctly? [/INST] If you mistakenly added 0.42 instead of subtracting it, and ended up with 0.9, we can reverse the incorrect addition to find the original number before the correct ...
<s>[INST] If the width of a cube is 12 centimeters (cm), the length is 16 centimeters (cm), and the height is 14 centimeters (cm), find the value of the surface area of the largest cube that can be made by cutting the cube. [/INST] The description provided seems to be a bit confusing because a cube, by definition, has ...
<s>[INST] Seven years ago, the father's age was three times the son's age. Eight years from this year, the sum of the ages of father and son will be 74. How old is the father after 8 years from now? [/INST] Let's denote the current age of the father as F and the current age of the son as S. According to the first stat...
<s>[INST] Cheolsu's weight is 2/3 of his mother's weight, and his father's weight is 72 kilograms (kg). If the sum of Cheolsu's and his father's weight is equal to twice the mother's weight, find how many kilograms (kg) Cheolsu weighs. [/INST] Let's denote Cheolsu's weight as C kg and his mother's weight as M kg. Acco...
<s>[INST] There is a three-digit number made of 5, 9, and 2. When the difference between the two possible numbers is the greatest, which of the two numbers is smaller? [/INST] To find the greatest difference between two numbers made of the digits 5, 9, and 2, we need to create the largest and smallest numbers possible ...
<s>[INST] There is a bag that is 5 meters (m) long and weighs 29/8 kilograms (kg) and a chair that is 4 meters (m) long and weighs 2.8 kilograms (kg). How many kilograms (kg) are the bag and chair if they are cut into 2 meters (m) and weighed together? [/INST] To solve this problem, we need to determine the weight of t...
<s>[INST] This year, the age of the mother is four times the age of the son. Three years ago, the combined ages of mother and son were 49. How old is her son this year? [/INST] Let's denote the current age of the son as S and the current age of the mother as M. According to the first statement, the mother's age is fou...
<s>[INST] A cube was cut to make 27 cubes with each edge being 4 centimeters (cm) long. Find the surface area of the original cube in square centimeters (cm2). [/INST] To find the surface area of the original cube, we first need to determine the length of its edges. Since the original cube was cut into 27 smaller cubes...
<s>[INST] An engineering school has 928 students and 713 of those are male students. Find how many male students outnumber female students. [/INST] To find out how many male students outnumber female students, we first need to determine the number of female students. Total number of students = 928 Number of male stud...
<s>[INST] If the base of a triangle with an area of 46 square centimeters (cm2) is 10 centimeters (cm), how many centimeters (cm) is its height? [/INST] The area of a triangle is given by the formula: Area = (base * height) / 2 We are given the area of the triangle as 46 cm² and the base as 10 cm. We can use this inf...
<s>[INST] Identify which numbers are greater than 2 and less than 3 among 3.3, 7/2, 1.9, 14/5, and 2.1, and count how many of them are. [/INST] To find out which numbers are greater than 2 and less than 3, we need to compare each number to the values 2 and 3. 1. 3.3 is greater than 3. 2. 7/2 is equal to 3.5, which is ...
<s>[INST] There are pants and skirts in the closet. There are 4 pants, and 7 possible ways to wear pants or skirts. At this time, how many skirts are there? [/INST] If there are 7 possible ways to wear pants or skirts and 4 of those ways are accounted for by the pants, then the remaining ways must be accounted for by t...
<s>[INST] Find the value of multiplication the first largest number by the second largest number among 2.1, 3.2, 32, 12, 3.4, and 2.5. [/INST] The largest number among the given numbers is 32, and the second largest number is 12. Multiplying these two numbers together gives us: 32 * 12 = 384 Therefore, the value of ...
<s>[INST] Students are in a line. Suppose Seoyoon's position is at the 5th from the left and 3rd from the right, how many students are in the line? [/INST] If Seoyoon is 5th from the left and 3rd from the right, we can calculate the total number of students in the line by adding the students to her left, Seoyoon hersel...
<s>[INST] The truck carries cabbages from Seoul to Incheon and radishes from Incheon to Seoul. When transported once, 4 kilograms (kg) and 436 grams (g) of cabbage and 1999 grams (g) of radish are loaded. If the truck goes back and forth between Incheon and Seoul twice, what is the total amount of both vegetables the t...
<s>[INST] Hoonjeong threw away 0.2 of the marbles he had and gave 0.35 of the remaining amount to his friend so that there are 130 marbles left. Find how many marbles Hoonjeong had at first. [/INST] Let's denote the total number of marbles Hoonjeong had initially as M. First, Hoonjeong threw away 0.2 (or 20%) of his m...
<s>[INST] There are six different numbers: 9, 2, 4, 1, 5, and 6. Find the difference between the largest number and the second largest number. [/INST] The largest number among 9, 2, 4, 1, 5, and 6 is 9. The second largest number is 6. The difference between the largest number (9) and the second largest number (6) is:...
<s>[INST] Jungsoo was playing a game making a number using number cards once. Given the numbers 1, 4, and 5, he gets a higher score as the number gets smaller. Which number would be better for him to make? [/INST] To get a higher score, Jungsoo should aim to make the smallest number possible with the given number cards...
<s>[INST] Boat A travels at a speed of 92 kilometers (km) per hour, and boat B travels at a speed of 1500 meters (m) per minute. Which of the two boats is faster? [/INST] To compare the speeds of the two boats, we need to convert their speeds to the same units. We can either convert Boat A's speed to meters per minute ...
<s>[INST] Minyoung is 10 years old this year and her grandmother is 65 years old this year. How old was her grandmother when Minyoung was 7 years old? [/INST] If Minyoung is 10 years old this year, then three years ago she was 7 years old. If we subtract 3 years from her current age (10 years), we get: 10 - 3 = 7 yea...
<s>[INST] Jeonghee, Cheolsu, Eunsu, and Minjun went to the baseball field. If Eunsu and Minjun do not sit next to each other because they are not on good terms, find the number of cases in which four people sit in a row. (However, there are four seats and all are attached.) [/INST] To solve this problem, we can use the...
<s>[INST] I was supposed to subtract 382 from a number, but I mistakenly added 238 to it and get 637. What is the result of the correct calculation? [/INST] Let's call the original number "x". According to your mistake, you added 238 to x, which resulted in 637. So the equation for your mistake is: x + 238 = 637 To f...
<s>[INST] Eunji collected 1 piece of red confetti and 9 pieces of green confetti. If she gives 4 pieces of collected confetti to Yuna, find how many pieces are left with Eunji. [/INST] Eunji initially collected a total of 1 piece of red confetti and 9 pieces of green confetti, which adds up to: 1 (red) + 9 (green) = 1...
<s>[INST] Seokjin jumped ropes 32 times yesterday, and today he jumped 15 times more than yesterday. Taehyung jumped ropes 58 times yesterday, and today he jumped 12 times fewer than yesterday. Who jumped more ropes today? [/INST] Seokjin jumped 32 times yesterday and 15 times more today, so today he jumped: 32 + 15 = ...
<s>[INST] When you multiply a number by 7 and add 37, you get 100. Find this number. [/INST] Let's call the number you're looking for x. According to the problem, when you multiply x by 7 and then add 37, the result is 100. We can write this as an equation: 7x + 37 = 100 Now, we need to solve for x. First, subtract 3...
<s>[INST] The area of a certain square was found to be 324 square meters (m2). Find the perimeter of the square. [/INST] To find the perimeter of a square, we first need to find the length of one side. Since the area of a square is equal to the length of one side squared, we can find the length of one side by taking th...
<s>[INST] There are 24 marbles. Of these, red marbles account for 1/4 of the total. There are 6 more blue marbles than red marbles, and the rest are yellow marbles. What color beads do you have the most? [/INST] First, let's find out how many red marbles there are. Since red marbles account for 1/4 of the total, we can...
<s>[INST] Woosik tries to double the number of jump ropes every day. If you jump rope 18 times on day 1, how many times will you jump rope on day 4? [/INST] To find out how many times Woosik will jump rope on day 4, we need to double the number of jump ropes each day starting from day 1. Day 1: 18 jump ropes Day 2: 18...
<s>[INST] Which number is the second smallest among 5, 8, 9, and 7? [/INST] The second smallest number among 5, 8, 9, and 7 is 7. </s>
<s>[INST] Seonju ran 2+2/3 kilometers (km) every day. How many kilometers (km) did Seonju run for 9 days? [/INST] To find out how many kilometers Seonju ran for 9 days, we need to multiply the daily distance by the number of days. Seonju runs 2 + 2/3 km every day. First, let's convert this mixed number to an improper ...
<s>[INST] There are cookies that are packed in 3 pieces. Hyunwoo gave 3 of these 226 packed cookies to his friend. Find how many pieces of cookies Hyunwoo has. [/INST] Hyunwoo originally had 226 packs of cookies, with each pack containing 3 pieces. First, let's find out how many pieces of cookies Hyunwoo gave to his ...
<s>[INST] Use the four number cards 0, 1, 4, and 8 once to find the third largest three-digit number whose units digit is 8, then find the sum of each digit. [/INST] To find the third largest three-digit number whose units digit is 8, we need to arrange the numbers 0, 1, 4, and 8 in such a way that the hundreds place h...
<s>[INST] A playground is in the shape of a square with sides measuring 12 meters (m). The time it took for Seoyoon to walk around the playground was the same as the time it took for Seoyoon to walk around the 9 meters (m) rectangular playground. If you walk at the same speed, what is the vertical length of the rectang...
<s>[INST] Moving a decimal point two places to the left equals the original decimal minus 1.485. Find the original decimal number. [/INST] Let's denote the original decimal number as \( x \). Moving the decimal point two places to the left is equivalent to dividing the number by 100. So, if we move the decimal point t...
<s>[INST] It takes Jun-seok 4 hours to translate a chapter of an English book and it takes Yoon-yeol 12 hours. If the two of them work together, how many hours will it take to translate one chapter? [/INST] To solve this problem, we can use the concept of combined work rates. Jun-seok's rate of work is 1 chapter per ...
<s>[INST] How ways are there to choose and buy two fruits out of peaches, apples, pears, melons, and persimmons? [/INST] To determine the number of ways to choose and buy two fruits out of the given five (peaches, apples, pears, melons, and persimmons), we can use the combination formula, which is used when the order o...
<s>[INST] There are 27, 103, 78, 35, and 97. What is the difference between the largest and the smallest of five numbers? [/INST] The largest number among the given numbers is 103, and the smallest number is 27. The difference between the largest and the smallest number is: 103 - 27 = 76 So, the difference between t...
<s>[INST] There are a total of 86 chicks and chickens in the coop and 30 chicks. If hens lay 3 eggs per day, how many eggs can you get from this henhouse in 30 days? [/INST] First, we need to determine the number of hens in the coop. We know there are a total of 86 chicks and chickens, and out of those, 30 are chicks. ...
<s>[INST] Find the surface area of a cuboid whose width is 3 centimeters (cm), length is 4 centimeters (cm), and height is 5 centimeters (cm). [/INST] To find the surface area of a cuboid, we need to calculate the area of each of the six faces and then sum them up. A cuboid has three pairs of identical faces: the front...
<s>[INST] Yoo-jeong borrowed some of the 17 notebooks from Min-young, and Min-young had 8 notebooks left. How many notebooks did Yoo-jeong borrow? [/INST] If Min-young had 17 notebooks originally and was left with 8 after Yoo-jeong borrowed some, then Yoo-jeong must have borrowed: 17 notebooks (original amount) - 8 no...
<s>[INST] Subtracting 29 from any number and dividing it by 13 gives you 15. Find any number. [/INST] Let's call the number you're looking for "x". According to the problem, if you subtract 29 from x and then divide by 13, the result is 15. We can set up the following equation to represent this: (x - 29) / 13 = 15 To...
<s>[INST] A rectangle has a perimeter of 30 centimeters (cm) and a width of 10 centimeters (cm). How long is the length of this rectangle? [/INST] The perimeter of a rectangle is calculated by the formula: Perimeter = 2 * (Length + Width) Given that the perimeter is 30 cm and the width is 10 cm, we can plug these val...
<s>[INST] There are three numbers 0.8, 1/2, and 0.9. How many numbers are greater than or equal to 2? [/INST] None of the numbers 0.8, 1/2 (which is 0.5), and 0.9 are greater than or equal to 2. All of them are less than 2. </s>
<s>[INST] It is said that the price is 17.25 won per 1 gram (g) of a certain mineral. When one 1000 gram (g) weight and one 10 gram (g) weight were placed on a balance, and a lump of the mineral was placed on the other side, it was level. How much is a mineral worth? [/INST] To find the worth of the mineral, we first n...
<s>[INST] What is the difference between the sum of numbers whose remainder is 1 and the sum of numbers whose remainder is 0 when divided by 2 from 1 to 100? [/INST] To find the difference between the sum of numbers with a remainder of 1 and the sum of numbers with a remainder of 0 when divided by 2 from 1 to 100, we n...
<s>[INST] Among the five numbers 9/10, 1.8, 2, 1, 11/5 , write the number greater than 1 and less than 2 including the decimal point. [/INST] To find the number greater than 1 and less than 2, we need to convert all the numbers to the same format (either fractions or decimals) to compare them easily. The numbers given...
<s>[INST] Taehyung, Namjoon, and Jimin bought apples at the fruit shop. If Jimin bought more apples than Taehyung and Taehyung bought more apples than Namjoon, who bought the most apples? [/INST] Jimin bought the most apples. </s>
<s>[INST] You have a trapezoid with a lower side of 9 centimeters (cm) and an upper side of 5 centimeters (cm). If the area is 56 square centimeters (cm2), how many centimeters (cm) is the height of this trapezoid? [/INST] The area of a trapezoid can be calculated using the formula: \[ \text{Area} = \frac{1}{2} \times...
<s>[INST] Hyeonsu was walking in the shape of a circle with a radius of 50 meters (m) in the playground. He takes a walk and tries to mark every 7.85 meters (m) with an X. If the pi is calculated as 3.14, how many X marks will there be when Hyeonsu makes a turn? [/INST] To find out how many X marks Hyeonsu will make, w...
<s>[INST] 1, 2, 3, 4 ..., 55 were written sequentially to make 1234567891011121314...535455. Find the sum of each digit in this number. [/INST] To find the sum of each digit in the number sequence 1234567891011121314...535455, we need to consider the number of times each digit appears in the sequence. Digits 1-9 appea...
<s>[INST] Adding 468 to a certain number gives 954. What is the result when subtracting 3 from this number? [/INST] Let's call the certain number "x". According to the information given: 468 + x = 954 To find the value of x, we subtract 468 from both sides of the equation: x = 954 - 468 x = 486 Now, to find the res...
<s>[INST] There is a rectangular cuboid-shaped bowl measuring 16 centimeters (cm) wide, 14 centimeters (cm) long, and 9 centimeters (cm) high containing water 4 centimeters (cm) high. When a stone was placed in this bowl, the water level rose to 9 centimeters (cm). What is the volume of the stone in cubic centimeters (...
<s>[INST] If the radius of the large marble is 6 centimeters (cm) and the radius of the small marble is 3 centimeters (cm), how many times the surface area of the large marble is the surface area of the small marble? [/INST] To compare the surface areas of the two marbles, we need to use the formula for the surface are...
<s>[INST] The shape of the blackboard in Seongho's classroom is a rectangle with a width of 5.4 meters (m) and a height of 2.5 meters (m). What is the area of this blackboard in square meters (m2)? [/INST] To find the area of a rectangle, you multiply the width by the height. Area = width × height Given the width is...
<s>[INST] Find the number of ways to put C and D next to each other when 6 people A, B, C, D, E and F are lined up in a line. [/INST] To find the number of ways to put C and D next to each other, we can treat C and D as a single unit since they must be together. This effectively reduces the problem to arranging 5 units...
<s>[INST] There is a cuboid-shaped rice container full of rice with a height of 5 meters (m) 20 centimeters (cm) and a base with side lengths of 6 meters (m) 40 centimeters (cm) and 9 meters (m) respectively. You want to divide the rice into several rice bins of 1 cubic meter (m3) in volume. Find how many boxes of rice...
<s>[INST] Yoojung and Eunji live in the same apartment. Yoojung lives on the 17th floor and Eunji lives on the 25th floor. Who lives on the higher floor? [/INST] Eunji lives on the higher floor, which is the 25th floor. </s>
<s>[INST] There are 28 identical bookshelves in the library. Each bookshelf has 6 floors, and the number of books on each floor is the same. An English book is placed 9th from the left and 11th from the right on one floor of a bookshelf. How many books are on the shelves in the library? [/INST] First, let's determine t...
<s>[INST] The product of 3.6 and a number is 10.08. Find the value multiplied by 15. [/INST] First, let's find the number that when multiplied by 3.6 gives 10.08. We can set up the equation: 3.6 * x = 10.08 To solve for x, we divide both sides of the equation by 3.6: x = 10.08 / 3.6 x = 2.8 Now that we have found t...
<s>[INST] The radius of the smaller sphere is 1/4 of the radius of the larger sphere. Find how many times bigger the volume of the larger sphere is compared to the volume of the smaller sphere. [/INST] Let's denote the radius of the smaller sphere as \( r \) and the radius of the larger sphere as \( R \). According to ...
<s>[INST] How many two-digit natural numbers have the unit digit equal to 7 and are less than 50? [/INST] To find two-digit natural numbers less than 50 with the unit digit equal to 7, we can list them out: 17, 27, 37, 47 There are 4 such numbers. </s>
<s>[INST] Find the difference between the number of diagonals in the octagon and the number of diagonals in the heptagon. [/INST] To find the number of diagonals in any polygon, you can use the formula: Number of diagonals = n(n - 3) / 2 where n is the number of sides in the polygon. For an octagon (8 sides): Number...
<s>[INST] You want to divide 68 toys equally, 5 each among 14 people. How many more toys do you need to keep them from running out? [/INST] If you want to give 5 toys each to 14 people, you would need a total of: 5 toys/person * 14 people = 70 toys Since you only have 68 toys, you would need: 70 toys needed - 68 toy...
<s>[INST] You want to plant trees at intervals of 6 meters (m) from start to finish on one side of a road that is 156 meters (m) long. Find how many trees you need in all. [/INST] To find out how many trees you need, you divide the length of the road by the interval at which you want to plant the trees. The length of ...
<s>[INST] I planted cabbage on 2/7 of the field, and eggplant on 3/8. Which part is wider, cabbage or eggplant? [/INST] To compare the parts of the field planted with cabbage and eggplant, we need to compare the fractions 2/7 and 3/8. To do this, we can find a common denominator and then compare the numerators. The de...
<s>[INST] A diamond made of colored paper is 16 centimeters (cm) long with an area of 80 square cm (cm2). What is the length of the other diagonal of the rhombus created by Junseo in centimeters (cm)? [/INST] To find the length of the other diagonal of the rhombus, we can use the formula for the area of a rhombus, whic...
<s>[INST] When you tried to divide 328 marbles equally among 15 students, a few marbles were in short. Find at least how many more marbles are needed to distribute all the marbles equally. [/INST] To find out how many more marbles are needed to distribute all the marbles equally among 15 students, we need to divide the...
<s>[INST] Jungkook and Seokjin each had 28 books. If Jungkook bought 18 more books and Seokjin bought 11 more books, how many more books does Jungkook have than Seokjin? [/INST] Jungkook originally had 28 books and bought 18 more, so he now has 28 + 18 = 46 books. Seokjin originally had 28 books and bought 11 more, so...
<s>[INST] Jeonghoon's monthly evaluation paper is torn, so he can't find out his math score. The scores for other subjects are 82 points for ethics, 90 points for Korean language, 88 points for science, and 84 points for social studies. What is his math score when the average score is 88? [/INST] To find Jeonghoon's ma...
<s>[INST] The area of the rectangle (a) is equal to the area of the square (b). If the lengths of the two sides of the rectangle (a) are 9 centimeters (cm) and 16 centimeters (cm) respectively, how many centimeters (cm) is the length of one side of the square (b)? [/INST] To find the area of the rectangle (a), we multi...
<s>[INST] Five numbers 10, 11, 12, 13, and 14 are given. What is the remainder if the second largest number is divided by the smallest number? [/INST] The second largest number among the given numbers (10, 11, 12, 13, 14) is 13. The smallest number is 10. To find the remainder when 13 is divided by 10, we perform the ...
<s>[INST] A basket containing 12 apples of the same weight weighed 11.48 kilograms (kg). I took four appes out of the basket and ate them, and the basket weighed 8.12 kilograms (kg) this time. Find the weight in kilograms (kg) of the empty basket. [/INST] First, let's find the total weight of the 12 apples. Since the b...
<s>[INST] Car A travels at a constant speed of 2.1 kilometers (km) in 1 minute, and car B travels at 10.5 kilometers (km) in 4 minutes. Find out which car to take to get to your destination faster. [/INST] To determine which car will get you to your destination faster, we need to compare their speeds. Car A travels at...
<s>[INST] There are 3 ways to walk from Seojin's house to the soccer field, and 4 ways to drive. Find the number of ways to get from your house to the soccer field. [/INST] If there are 3 ways to walk and 4 ways to drive from Seojin's house to the soccer field, then the total number of ways to get from the house to the...
<s>[INST] Fans A, B, C, D are turned on. B is stronger than A, and D is weaker than A. When A is weaker than C, which fan is turned at the weakest wind speed? [/INST] Given the information: - B is stronger than A - D is weaker than A - A is weaker than C From the first two points, we can deduce that B > A > D. The th...
<s>[INST] 21 is the smallest number that is divisible by any two numbers. Find the sum of the numbers between the 8th largest and 12th largest common multiples of the two numbers. [/INST] To find the sum of the numbers between the 8th largest and 12th largest common multiples of two numbers, we first need to identify t...
<s>[INST] Find the largest five-digit number that can be formed using 0, 4, 6, 7, and 8 only once. [/INST] To form the largest five-digit number using the digits 0, 4, 6, 7, and 8 only once, we need to arrange the digits in descending order, with the largest digit at the highest place value (the leftmost position) and ...
<s>[INST] How many three-digit natural numbers can be formed by drawing three out of five different number cards? Each number card has the numbers 2, 4, 6, 7, and 9 written on it. [/INST] To form a three-digit number, we need to select three different cards from the five available. The order in which we select the card...