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[
{
"content": "Jungkook is the 5th place. Find the number of people who crossed the finish line faster than Jungkook.",
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"content": "If Jungkook is in 5th place, then 4 people crossed the finish line faster than him.",
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[
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"content": "A number divided by 10 is 6. Yoongi got the result by subtracting 15 from a certain number. What is the result he got?",
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"content": "Let's call the certain number \"x\". According to the information given:\n\nA number divided by 10 is 6:\nx / 10 = 6\n\nYoongi got the result by subtracting 15 from x:\nResult = x - 15\n\nFirst, we need to find the value of x. We can do this by solving the first equation:\n\nx / 10 = 6\nx = 6 * 10\nx = 60\n\nNow that we know x is 60, we can find the result Yoongi got by subtracting 15 from x:\n\nResult = x - 15\nResult = 60 - 15\nResult = 45\n\nSo, the result Yoongi got is 45.",
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] | 1 |
[
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"content": "Dongju selects a piece of paper with a number written on it, and wants to make a three-digit number by placing the first selected number in the hundreds place, the second selected in the tens place, and the third selected in the units place. If the numbers written on each paper was 1, 6, and 8, respectively, find the sum of the second smallest and third smallest three-digit numbers that Dongju can make. However, you cannot select the same numbered paper multiple times.",
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"content": "To find the second smallest and third smallest three-digit numbers that Dongju can make with the digits 1, 6, and 8, we need to consider all the possible combinations of these three digits without repetition.\n\nThe possible three-digit numbers are:\n- 168\n- 186\n- 618\n- 681\n- 816\n- 861\n\nNow, let's arrange these numbers in ascending order to find the second smallest and third smallest numbers:\n- 168 (smallest)\n- 186 (second smallest)\n- 618 (third smallest)\n- 681\n- 816\n- 861 (largest)\n\nThe second smallest number is 186, and the third smallest number is 618.\n\nNow, we find the sum of the second smallest and third smallest numbers:\n186 + 618 = 804\n\nTherefore, the sum of the second smallest and third smallest three-digit numbers that Dongju can make with the digits 1, 6, and 8 is 804.",
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[
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"content": "You wanted to subtract 46 from a number, but you accidentally subtract 59 and get 43. How much do you get from the correct calculation?",
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"content": "If you accidentally subtracted 59 instead of 46 and got 43, you can find the original number by adding 59 back to 43:\n\n43 + 59 = 102\n\nNow, to find the result of the correct calculation, subtract 46 from the original number:\n\n102 - 46 = 56\n\nSo, if you subtract 46 from the original number, you would get 56.",
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] | 3 |
[
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"content": "The length of one span of Jinseo is about 12 centimeters (cm). When Jinseo measured the length of the shorter side of the bookshelf, it was about two spans. How many centimeters (cm) is the short side of the bookshelf?",
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"content": "If one span of Jinseo is about 12 centimeters and the shorter side of the bookshelf is about two spans, then the length of the shorter side of the bookshelf would be:\n\n2 spans * 12 cm/span = 24 cm\n\nSo, the short side of the bookshelf is about 24 centimeters.",
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[
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"content": "The owner of the snack shop said that for a special occasion, he would give out cookies equal to the three-digit number made by using 1, 7, and 0 all at least once. What number should Haneul make to receive the most sweets?",
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"content": "To receive the most sweets, Haneul should make the largest three-digit number possible using the digits 1, 7, and 0, with each digit being used at least once. The largest digit should be placed in the hundreds place, the second largest in the tens place, and the smallest in the ones place.\n\nTherefore, the largest number Haneul can make is 710.",
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[
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"content": "For the natural number A, the quotient of A divided by 9 is 6 and the remainder is 5. What is the value of A?",
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"content": "To find the value of A, we can use the formula for division with remainder:\n\nA = (quotient × divisor) + remainder\n\nIn this case, the quotient is 6, the divisor is 9, and the remainder is 5. Plugging these values into the formula, we get:\n\nA = (6 × 9) + 5\nA = 54 + 5\nA = 59\n\nTherefore, the value of A is 59.",
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[
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"content": "How many diagonals can you draw in a decagon?",
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"content": "A decagon is a polygon with 10 sides. To find the number of diagonals in a polygon, you can use the formula:\n\nNumber of diagonals = n(n - 3) / 2\n\nwhere n is the number of sides in the polygon.\n\nFor a decagon, n = 10, so:\n\nNumber of diagonals = 10(10 - 3) / 2\nNumber of diagonals = 10(7) / 2\nNumber of diagonals = 70 / 2\nNumber of diagonals = 35\n\nTherefore, you can draw 35 diagonals in a decagon.",
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] | 7 |
[
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"content": "What is the difference between the largest number and the smallest number that can be made by selecting four from the number magnets 2, 0, 3, 5, and 8 and arranging them in a row to form a four-digit number?",
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"content": "To find the largest number, we should arrange the digits in descending order, and to find the smallest number, we should arrange the digits in ascending order. However, since one of the digits is 0, we need to be careful when creating the smallest number, as 0 cannot be the first digit.\n\nThe largest number is formed by arranging the digits from largest to smallest (excluding 0 as the first digit): 8532.\n\nThe smallest number is formed by placing the smallest non-zero digit first, followed by the remaining digits in ascending order: 2035.\n\nNow, let's find the difference between the largest and smallest numbers:\n\n8532 (largest number)\n-2035 (smallest number)\n-----\n6497 (difference)\n\nThe difference between the largest and smallest four-digit numbers that can be made from the digits 2, 0, 3, 5, and 8 is 6497.",
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[
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"content": "Find the sum of all multiples of 9 that are less than 80.",
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"content": "To find the sum of all multiples of 9 that are less than 80, we first need to identify these multiples. We start with 9 and keep adding 9 until we reach a number that is just below 80.\n\nThe multiples of 9 less than 80 are:\n9, 18, 27, 36, 45, 54, 63, 72.\n\nNow, we add these numbers together to find the sum:\n9 + 18 + 27 + 36 + 45 + 54 + 63 + 72 = 324\n\nTherefore, the sum of all multiples of 9 that are less than 80 is 324.",
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] | 9 |
[
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"content": "This year, the age difference between Minsu and his mother is 28 years old, and after 13 years, the age of his mother will be twice that of Minsu. Find the age of Minsu this year.",
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"content": "Let's denote Minsu's current age as M and his mother's current age as M_m.\n\nAccording to the information given, we have two equations:\n\n1) M_m - M = 28 (The age difference between Minsu and his mother is 28 years)\n\n2) M_m + 13 = 2(M + 13) (After 13 years, the mother's age will be twice Minsu's age)\n\nNow, let's solve these equations step by step.\n\nFrom equation 1, we can express M_m in terms of M:\n\nM_m = M + 28\n\nNow, let's substitute M_m in equation 2 with the expression we found from equation 1:\n\n(M + 28) + 13 = 2(M + 13)\n\nSimplify the equation:\n\nM + 41 = 2M + 26\n\nNow, let's solve for M:\n\n2M - M = 41 - 26\nM = 15\n\nSo, Minsu is currently 15 years old.",
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] | 10 |
[
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"content": "The exchange rate refers to the rate at which one country's currency is exchanged for another country's currency. Soojeong came back from a trip to the U.S. and exchanged the remaining 140 dollars for 158,760 won in Korean money at the bank today. What is the exchange rate of the Korean Won to the US Dollar today?\n",
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"content": "To find the exchange rate of the Korean Won to the US Dollar, we need to divide the amount of Korean Won Soojeong received by the amount of US Dollars she exchanged.\n\nSo, the exchange rate (KRW/USD) is:\n\n158,760 KRW / 140 USD = 1,134 KRW/USD\n\nTherefore, the exchange rate is 1,134 Korean Won to 1 US Dollar.",
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[
{
"content": "A parallelogram was cut to form a trapezoid, the lower side being 4 centimeters (cm) longer than the upper side. If the upper side is 12 centimeters (cm) and the height is 10 centimeters (cm), how much is the area of this trapezoid?",
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"content": "The area of a trapezoid can be calculated using the formula:\n\nArea = (1/2) * (sum of the lengths of the parallel sides) * height\n\nIn this case, the upper side of the trapezoid is 12 cm and the lower side is 4 cm longer than the upper side, so the lower side is 12 cm + 4 cm = 16 cm.\n\nThe height of the trapezoid is given as 10 cm.\n\nNow we can plug these values into the formula:\n\nArea = (1/2) * (12 cm + 16 cm) * 10 cm\nArea = (1/2) * 28 cm * 10 cm\nArea = 14 cm * 10 cm\nArea = 140 cm²\n\nSo, the area of the trapezoid is 140 square centimeters.",
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[
{
"content": "Yuran wants to buy a gift box that is 9 centimeters (cm) wide, 4 centimeters (cm) long, and 7 centimeters (cm) high. What is the volume in cubic centimeters (cm) of the gift box Yuran is buying?",
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"content": "To find the volume of a box, you multiply its width, length, and height together. \n\nVolume = Width × Length × Height\n\nGiven the dimensions of the gift box Yuran wants to buy:\n\nWidth = 9 cm\nLength = 4 cm\nHeight = 7 cm\n\nVolume = 9 cm × 4 cm × 7 cm\nVolume = 36 cm² × 7 cm\nVolume = 252 cm³\n\nSo, the volume of the gift box is 252 cubic centimeters (cm³).",
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[
{
"content": "A country has a total of 3 islands. Each island has 12 ships, and each ship has 24 crew members. Find the number of crew members working on all the islands in this country.",
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"content": "To find the total number of crew members working on all the islands, we need to multiply the number of islands by the number of ships per island, and then multiply that result by the number of crew members per ship.\n\nNumber of islands = 3\nNumber of ships per island = 12\nNumber of crew members per ship = 24\n\nTotal number of crew members = Number of islands * Number of ships per island * Number of crew members per ship\n\nTotal number of crew members = 3 * 12 * 24\n\nNow, let's do the math:\n\nTotal number of crew members = 3 * 12 * 24\nTotal number of crew members = 36 * 24\nTotal number of crew members = 864\n\nSo, there are 864 crew members working on all the islands in the country.",
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[
{
"content": "Jian has 3 notebooks in his bag, Doyun has 5 notebooks in his bag, and Siu has 2 notebooks in his bag. Who has the second most notebooks?",
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"content": "Jian has 3 notebooks, Doyun has 5 notebooks, and Siu has 2 notebooks. \n\nTo determine who has the second most notebooks, we can compare the quantities:\n\n- Doyun has the most notebooks with 5.\n- Jian has more notebooks than Siu but fewer than Doyun with 3.\n- Siu has the fewest notebooks with 2.\n\nTherefore, Jian has the second most notebooks with 3.",
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[
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"content": "Farm A has a rectangular shape measuring 6 kilometers (km) by 9 kilometers (km), and Farm B has a square shape measuring 8 kilometers (km) by 8 km by 8 kilometers (km). The owners of both farms want to build a fence around the perimeter of the farm by putting together wooden planks of the same length. Which farm needs more planks?",
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"content": "To determine which farm needs more planks, we need to calculate the perimeter of each farm.\n\nFor Farm A (rectangular shape):\nPerimeter = 2 * (length + width)\nPerimeter = 2 * (6 km + 9 km)\nPerimeter = 2 * 15 km\nPerimeter = 30 km\n\nFor Farm B (square shape):\nPerimeter = 4 * side\nPerimeter = 4 * 8 km\nPerimeter = 32 km\n\nFarm B has a perimeter of 32 km, while Farm A has a perimeter of 30 km. Therefore, Farm B needs more planks to build a fence around its perimeter.",
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[
{
"content": "Seungyeon is wrapping the box with ribbon tape. If 28 identical boxes are wrapped with the ribbon tape that is 82.04 meters (m) long and there should be no tape left after wrapping, how many meters (m) of ribbon tape are needed to wrap one box?",
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"content": "To find out how many meters of ribbon tape are needed to wrap one box, we can divide the total length of the ribbon tape by the number of boxes.\n\nTotal length of ribbon tape = 82.04 meters\nNumber of boxes = 28\n\nRibbon tape needed for one box = Total length of ribbon tape / Number of boxes\nRibbon tape needed for one box = 82.04 meters / 28 boxes\n\nNow, let's do the calculation:\n\nRibbon tape needed for one box = 2.93 meters\n\nSo, 2.93 meters of ribbon tape are needed to wrap one box.",
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[
{
"content": "The four students, Jimin, Yoongi, Taehyung, and Namjoon, are of different ages. Yoongi is older than Namjoon, and Jimin is older than Taehyung but younger than Namjoon. Who is the youngest among the 4 people?",
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"content": "Given the information:\n\n1. Yoongi is older than Namjoon.\n2. Jimin is older than Taehyung.\n3. Jimin is younger than Namjoon.\n\nFrom point 3, we know Namjoon is older than Jimin. Since Jimin is older than Taehyung, Taehyung is younger than both Jimin and Namjoon. We also know from point 1 that Yoongi is older than Namjoon.\n\nSo, the age order from oldest to youngest is: Yoongi, Namjoon, Jimin, Taehyung.\n\nTherefore, Taehyung is the youngest among the four.",
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[
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"content": "Taehyung is trying to get to his grandmother's house, which is 300 kilometers (km) away on a motorcycle at 60 kilometers (km) per hour. Find how far Taehyung needs to go when 2 hours have passed since he left.",
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"content": "If Taehyung is traveling at a speed of 60 kilometers per hour, then in 2 hours he would have traveled:\n\n60 km/hour * 2 hours = 120 kilometers\n\nSince his grandmother's house is 300 kilometers away, and he has already traveled 120 kilometers, the remaining distance he needs to travel is:\n\n300 kilometers - 120 kilometers = 180 kilometers\n\nSo, Taehyung still needs to go 180 kilometers to reach his grandmother's house.",
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[
{
"content": "Find A that satisfies 32×A×A×A=42592",
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"content": "To find the value of A that satisfies the equation 32×A×A×A=42592, we can rewrite the equation as:\n\n\\(32A^3 = 42592\\)\n\nNow, we need to isolate A by dividing both sides of the equation by 32:\n\n\\(A^3 = \\frac{42592}{32}\\)\n\n\\(A^3 = 1331\\)\n\nNow, we take the cube root of both sides to solve for A:\n\n\\(A = \\sqrt[3]{1331}\\)\n\n\\(A = 11\\)\n\nTherefore, the value of A that satisfies the equation is 11.",
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[
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"content": "My mother is 43 years old this year. A few years ago, her age was five times her daughter's age, who is 11 years old this year. Find how many years ago it was.",
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"content": "Let's denote the daughter's age a few years ago as D and the number of years ago as Y.\n\nAccording to the information given, the daughter is 11 years old this year. So, a few years ago, she would have been 11 - Y years old.\n\nWe are told that a few years ago, the mother's age was five times her daughter's age. The mother is 43 years old this year, so a few years ago, she would have been 43 - Y years old.\n\nThe equation representing the relationship between their ages a few years ago is:\n\n43 - Y = 5 * (11 - Y)\n\nNow, let's solve for Y:\n\n43 - Y = 55 - 5Y\n43 - 55 = -5Y + Y\n-12 = -4Y\nY = -12 / -4\nY = 3\n\nSo, it was 3 years ago when the mother's age was five times her daughter's age.",
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] | 21 |
[
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"content": "Jungkook, Jimin, Seokjin, Taehyung, and Namjoon are standing side by side. Jungkook is standing next to Jimin's right side, and Seokjin is standing next to Jimin's left side. Also, Namjoon is standing to the left of Seokjin, and Jungkook is standing to the left of Taehyung. Who's standing on the furthest right?",
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"content": "To solve this, let's place them one by one based on the given information:\n\n1. Jungkook is standing next to Jimin's right side.\n2. Seokjin is standing next to Jimin's left side.\n3. Namjoon is standing to the left of Seokjin.\n4. Jungkook is standing to the left of Taehyung.\n\nFrom points 1 and 2, we know Jimin is in the middle with Jungkook on his right and Seokjin on his left:\n\nSeokjin - Jimin - Jungkook\n\nFrom point 3, Namjoon is to the left of Seokjin:\n\nNamjoon - Seokjin - Jimin - Jungkook\n\nFrom point 4, Jungkook is to the left of Taehyung, which means Taehyung must be on the right of Jungkook:\n\nNamjoon - Seokjin - Jimin - Jungkook - Taehyung\n\nSo, Taehyung is standing on the furthest right.",
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[
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"content": "When a number is multiplied by 14, it is 458.64. When a number is divided by 17, round the remainder to two decimal places.",
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"content": "First, let's find the number that when multiplied by 14 gives 458.64.\n\nTo do this, we divide 458.64 by 14:\n\n458.64 / 14 = 32.76\n\nSo the number is 32.76.\n\nNow, when this number is divided by 17, we want to find the remainder and round it to two decimal places.\n\n32.76 / 17 = 1 with a remainder of 15.76\n\nTo round the remainder to two decimal places, we don't need to do anything further since it is already in that format.\n\nTherefore, the remainder when 32.76 is divided by 17, rounded to two decimal places, is 15.76.",
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[
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"content": "Taehyung has 45 candies. If he plans to give 5 candies to his friends, how many friends can get candies in maximum?",
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"content": "If Taehyung has 45 candies and he plans to give 5 candies to each friend, we can find out how many friends can get candies by dividing the total number of candies by the number of candies each friend will receive.\n\n45 candies ÷ 5 candies per friend = 9 friends\n\nSo, a maximum of 9 friends can get candies.",
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[
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"content": "Jeonghee, Cheolsu, Eunsu, and Minjun went to the cinema to watch a horror movie. If Eunsu and Minjun, who can't watch horror movies, don't sit next to each other, find the number of cases in which four people sit in a row. (However, there are four seats and all are attached.)",
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"content": "To solve this problem, we can use the principle of counting. We have four people (Jeonghee, Cheolsu, Eunsu, and Minjun) and four seats. We want to find the number of ways they can sit such that Eunsu and Minjun, who can't watch horror movies, do not sit next to each other.\n\nFirst, let's find the total number of ways four people can sit in four seats without any restrictions. This is a simple permutation problem, where we have 4 options for the first seat, 3 for the second, 2 for the third, and 1 for the last seat. So, the total number of ways is 4! (4 factorial), which is 4 × 3 × 2 × 1 = 24.\n\nNow, let's find the number of ways in which Eunsu and Minjun do sit next to each other, and then we will subtract this from the total number of ways to get the number of ways in which they do not sit next to each other.\n\nWhen Eunsu and Minjun sit next to each other, we can treat them as a single unit. Now we have three units to arrange: Jeonghee, Cheolsu, and the Eunsu-Minjun unit. There are 3! = 3 × 2 × 1 = 6 ways to arrange these three units.\n\nHowever, within the Eunsu-Minjun unit, Eunsu and Minjun can switch places, which gives us 2! = 2 ways to arrange them within that unit.\n\nSo, the number of ways in which Eunsu and Minjun do sit next to each other is 3! × 2! = 6 × 2 = 12.\n\nFinally, to find the number of ways in which Eunsu and Minjun do not sit next to each other, we subtract the number of ways they do sit next to each other from the total number of ways:\n\nTotal ways - Ways they sit next to each other = 24 - 12 = 12.\n\nTherefore, there are 12 cases in which the four people can sit in a row with Eunsu and Minjun not sitting next to each other.",
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[
{
"content": "There are two types of Korean language workbooks and four types of math workbooks. When choosing one book among them, in how many cases can you choose Korean workbook or math workbook?",
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"content": "If there are two types of Korean language workbooks and four types of math workbooks, then the total number of cases where you can choose either a Korean workbook or a math workbook is the sum of the two types of workbooks.\n\nNumber of Korean workbooks = 2\nNumber of Math workbooks = 4\n\nTotal number of cases to choose either a Korean workbook or a math workbook = Number of Korean workbooks + Number of Math workbooks\n\nTotal = 2 + 4 = 6 cases\n\nSo, there are 6 different cases where you can choose either a Korean workbook or a math workbook.",
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[
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"content": "How many three-digit numbers can you make from three different numbers of the numbers 1, 3, 6, and 7?",
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"content": "To form a three-digit number using the numbers 1, 3, 6, and 7, we need to select three different numbers from these four options. Since the order in which we arrange the numbers matters (for example, 136 is different from 361), we are dealing with permutations.\n\nThe number of ways to choose 3 different numbers from a set of 4 is given by the formula for permutations without repetition, which is:\n\nP(n, r) = n! / (n - r)!\n\nWhere:\n- n is the total number of items to choose from (in this case, 4),\n- r is the number of items to choose (in this case, 3),\n- \"!\" denotes factorial, which is the product of all positive integers up to that number (for example, 4! = 4 × 3 × 2 × 1 = 24).\n\nSo, the number of permutations of 3 different numbers from the set of 4 is:\n\nP(4, 3) = 4! / (4 - 3)!\nP(4, 3) = 4! / 1!\nP(4, 3) = (4 × 3 × 2 × 1) / (1)\nP(4, 3) = 24\n\nTherefore, you can make 24 different three-digit numbers from the numbers 1, 3, 6, and 7.",
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[
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"content": "When you multiply a number by 7, it becomes 98. What is that number?",
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"content": "To find the number, you need to divide 98 by 7. \n\n98 ÷ 7 = 14\n\nSo the number is 14.",
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[
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"content": "A car that requires 0.14 liters (l) of gasoline to run 1 kilometer (km) ran for 2 hours and 30 minutes at 93.6 kilometers (km) per hour. How many liters of gasoline did it use?",
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"content": "First, we need to calculate the total distance the car traveled. The car ran for 2 hours and 30 minutes at a speed of 93.6 km/h. \n\n2 hours and 30 minutes is equal to 2.5 hours (since 30 minutes is half an hour).\n\nDistance = Speed × Time\nDistance = 93.6 km/h × 2.5 h\nDistance = 234 km\n\nNow that we know the distance, we can calculate the amount of gasoline used. The car requires 0.14 liters of gasoline to run 1 km.\n\nGasoline used = Distance × Gasoline per km\nGasoline used = 234 km × 0.14 l/km\nGasoline used = 32.76 liters\n\nThe car used 32.76 liters of gasoline.",
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[
{
"content": "Among Rat, Cow, Tiger, Rabbit, Dragon, and Snake, find the number of cases in which the rat is placed at the very front, the snake at the very back, and the rest are placed in one line.",
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"content": "To solve this problem, we need to consider the fixed positions of the Rat and the Snake and then find the number of ways to arrange the remaining animals (Cow, Tiger, Rabbit, and Dragon) in a line between them.\n\nSince the Rat is placed at the very front and the Snake at the very back, their positions are fixed. We are left with 4 animals (Cow, Tiger, Rabbit, and Dragon) to arrange in a line between the Rat and the Snake.\n\nThe number of ways to arrange n distinct objects in a line is given by n factorial (n!), which is the product of all positive integers from 1 to n.\n\nFor our 4 animals, the number of arrangements is 4!, which is:\n\n4! = 4 × 3 × 2 × 1 = 24\n\nSo, there are 24 different cases in which the Rat is placed at the very front, the Snake at the very back, and the Cow, Tiger, Rabbit, and Dragon are placed in one line between them.",
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[
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"content": "There are three numbers 10, 11, and 12. What is the difference between the smallest number and the second smallest number?",
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"content": "The smallest number is 10, and the second smallest number is 11. The difference between them is:\n\n11 - 10 = 1\n\nSo, the difference between the smallest number and the second smallest number is 1.",
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] | 31 |
[
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"content": "The smallest two-digit number that can be formed by two of 0, 3, 4, 6, and 8 is subtracted by a certain number and it became 7. Find the number.",
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"content": "The smallest two-digit number that can be formed by two of the given numbers (0, 3, 4, 6, and 8) is 30, because 0 cannot be the first digit of a two-digit number.\n\nIf this number (30) is subtracted by a certain number and it became 7, we can set up the following equation to find the certain number:\n\n30 - x = 7\n\nNow, we solve for x:\n\nx = 30 - 7\nx = 23\n\nSo, the certain number is 23.",
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] | 32 |
[
{
"content": "A pink rabbit and a white rabbit is running a race. The pink rabbit ran at a speed of 15 kilometers per hour (km), and the white rabbit ran at a speed of 10 kilometers per hour (km), arriving 30 minutes later than the pink rabbit. Find the time it took for the pink rabbit to arrive.",
"role": "user"
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"content": "Let's denote the time it took for the pink rabbit to arrive as \\( t \\) hours. Since the white rabbit arrived 30 minutes later, the time it took for the white rabbit to arrive is \\( t + 0.5 \\) hours (since 30 minutes is 0.5 hours).\n\nThe distance covered by both rabbits is the same. We can use the formula for distance, which is:\n\n\\[ \\text{Distance} = \\text{Speed} \\times \\text{Time} \\]\n\nFor the pink rabbit, the distance is:\n\\[ \\text{Distance}_{\\text{pink}} = 15 \\text{ km/h} \\times t \\]\n\nFor the white rabbit, the distance is:\n\\[ \\text{Distance}_{\\text{white}} = 10 \\text{ km/h} \\times (t + 0.5) \\]\n\nSince both distances are equal, we can set them equal to each other:\n\\[ 15t = 10(t + 0.5) \\]\n\nNow, we solve for \\( t \\):\n\\[ 15t = 10t + 5 \\]\n\\[ 15t - 10t = 5 \\]\n\\[ 5t = 5 \\]\n\\[ t = 1 \\]\n\nSo, the pink rabbit took 1 hour to arrive.",
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] | 33 |
[
{
"content": "A regular hexagon with an area of 21.12 square centimeters (cm2) is divided into six pieces. If the cut pieces have the same shape and size, find the area of one piece in square centimeters (cm2).",
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},
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"content": "If a regular hexagon with an area of 21.12 cm² is divided into six equal pieces, each piece will have the same shape and size because the hexagon is regular (all sides and angles are equal).\n\nTo find the area of one piece, we simply divide the total area of the hexagon by the number of pieces:\n\nArea of one piece = Total area of hexagon / Number of pieces\nArea of one piece = 21.12 cm² / 6\nArea of one piece = 3.52 cm²\n\nSo, the area of one piece is 3.52 square centimeters.",
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] | 34 |
[
{
"content": "There are 5 different people. Everyone wanted to be an executive, so you decided to have 1 chairman, 1 vice-president, 1 secretary, 1 secretary, and 1 manager. Find the possible number of cases for assigning the position.",
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"content": "To find the possible number of cases for assigning the positions, we can use the concept of permutations since the order in which we assign the positions matters.\n\nWe have 5 different people and 5 different positions to fill: chairman, vice-president, secretary, treasurer, and manager. We will assign one person to each position.\n\nFor the first position, chairman, we have 5 choices (any of the 5 people can be chosen).\n\nAfter choosing the chairman, we have 4 remaining people to choose from for the vice-president position.\n\nOnce the vice-president is chosen, we have 3 remaining people to choose from for the secretary position.\n\nAfter the secretary is chosen, we have 2 remaining people to choose from for the treasurer position.\n\nFinally, for the manager position, we have only 1 person left to choose from.\n\nTo find the total number of possible cases, we multiply the number of choices for each position:\n\n5 (for chairman) × 4 (for vice-president) × 3 (for secretary) × 2 (for treasurer) × 1 (for manager) = 5! (5 factorial)\n\n5! = 5 × 4 × 3 × 2 × 1 = 120\n\nSo, there are 120 possible cases for assigning the positions.",
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] | 35 |
[
{
"content": "There are a total of 928 baduk stones and 713 of them are colored white. Find the difference between the number of white stones and black stones.",
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{
"content": "To find the difference between the number of white stones and black stones, we first need to find out how many black stones there are. Since there are a total of 928 baduk stones and 713 of them are white, we can subtract the number of white stones from the total number of stones to find the number of black stones.\n\nNumber of black stones = Total number of stones - Number of white stones\nNumber of black stones = 928 - 713\nNumber of black stones = 215\n\nNow, to find the difference between the number of white stones and black stones, we subtract the number of black stones from the number of white stones.\n\nDifference = Number of white stones - Number of black stones\nDifference = 713 - 215\nDifference = 498\n\nSo, there are 498 more white stones than black stones.",
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] | 36 |
[
{
"content": "I should have subtracted 23, but I mistakenly subtracted 32 from some number and got 25. How much do you get when calculated correctly?",
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},
{
"content": "If you mistakenly subtracted 32 instead of 23 from a number and got 25, we can first find the original number before the mistake by adding 32 back to 25:\n\n25 + 32 = 57\n\nNow, to find the correct result, we subtract the intended number, which is 23, from the original number:\n\n57 - 23 = 34\n\nSo, when calculated correctly, you get 34.",
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] | 37 |
[
{
"content": "You have five numbers 10, 11, 12, 13, and 14. What is the sum of the largest number and the second smallest number?",
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},
{
"content": "The largest number is 14 and the second smallest number is 11. \n\nThe sum of these two numbers is: 14 + 11 = 25.",
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] | 38 |
[
{
"content": "There are 42 chickens and 48 ducks on the farm, and there are as many geese as there are chickens. How many ducks are fewer than the number of chickens and geese combined?",
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{
"content": "There are 42 chickens on the farm, and the number of geese is equal to the number of chickens, so there are also 42 geese.\n\nTo find the total number of chickens and geese combined, we add the number of chickens and geese together:\n42 chickens + 42 geese = 84 chickens and geese combined.\n\nNow, we want to find out how many fewer ducks there are compared to the combined number of chickens and geese. There are 48 ducks on the farm.\n\nSo, we subtract the number of ducks from the combined number of chickens and geese:\n84 (chickens and geese) - 48 ducks = 36 fewer ducks.\n\nTherefore, there are 36 fewer ducks than the number of chickens and geese combined.",
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] | 39 |
[
{
"content": "When 14.23 is divided by 4.7, find the value to two decimal places.",
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},
{
"content": "To find the value of 14.23 divided by 4.7 to two decimal places, you can perform the division:\n\n14.23 ÷ 4.7 = 3.0265957446808510638297872340426\n\nRounded to two decimal places, the value is:\n\n3.03",
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}
] | 40 |
[
{
"content": "The rectangular shape of the ttakji's area is 1.77 square centimeters (cm2). If the width of this ttakji is 3 centimeters (cm), how many centimeters (cm) will the length be?",
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},
{
"content": "To find the length of the ttakji, we can use the formula for the area of a rectangle:\n\nArea = Length × Width\n\nWe know the area (1.77 cm²) and the width (3 cm), so we can rearrange the formula to solve for the length:\n\nLength = Area ÷ Width\n\nPlugging in the values we have:\n\nLength = 1.77 cm² ÷ 3 cm\n\nLength = 0.59 cm\n\nSo, the length of the ttakji will be 0.59 centimeters.",
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}
] | 41 |
[
{
"content": "A3B-41=591. How much is A?",
"role": "user"
},
{
"content": "To find the value of A, we need to solve the equation A3B - 41 = 591. \n\nFirst, let's add 41 to both sides of the equation to isolate the term with A on one side:\n\nA3B + 41 - 41 = 591 + 41\nA3B = 632\n\nNow, we need to determine what A could be to make the number A3B a three-digit number that when subtracted by 41 equals 591. Since we are dealing with whole numbers, A must be a digit from 0 to 9.\n\nLet's try to find A by dividing 632 by 100 (since A is in the hundreds place):\n\n632 ÷ 100 = 6.32\n\nSince A must be a whole number, we can see that A = 6 because 6 is the whole number part of the quotient.\n\nTherefore, A = 6.",
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}
] | 42 |
[
{
"content": "When a number is divided by 6, it becomes 1/10. What is the value of the number divided by 3/25?",
"role": "user"
},
{
"content": "Let's call the number we're looking for \"x\".\n\nAccording to the problem, when x is divided by 6, it becomes 1/10. We can write this as an equation:\n\nx / 6 = 1/10\n\nTo find x, we multiply both sides of the equation by 6:\n\nx = 6 * (1/10)\nx = 6/10\nx = 3/5\n\nNow we have the value of x, which is 3/5.\n\nNext, we want to find the value of x divided by 3/25. We can write this as:\n\n(3/5) / (3/25)\n\nTo divide fractions, we multiply the first fraction by the reciprocal of the second fraction:\n\n(3/5) * (25/3)\n\nNow, we can simplify by canceling out the common factors in the numerator and the denominator:\n\n(3/5) * (25/3) = (3 * 25) / (5 * 3) = 25/5\n\n25/5 simplifies to:\n\n25/5 = 5\n\nSo, the value of the number (which is 3/5) divided by 3/25 is 5.",
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}
] | 43 |
[
{
"content": "I have to divide a number by 8, but I accidentally multiply a number by 6 is 96. What is the correct calculation result?",
"role": "user"
},
{
"content": "If you accidentally multiplied a number by 6 and got 96, you can find the original number by dividing 96 by 6.\n\n96 ÷ 6 = 16\n\nNow that you have the original number, you can divide it by 8 to get the correct calculation result.\n\n16 ÷ 8 = 2\n\nSo, the correct calculation result is 2.",
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}
] | 44 |
[
{
"content": "How many multiples of 4 are there among the four-digit numbers made using the number cards 1, 3, 5, and 6 once?",
"role": "user"
},
{
"content": "To find the multiples of 4 among the four-digit numbers made using the number cards 1, 3, 5, and 6, we need to remember that a number is a multiple of 4 if the number formed by its last two digits is a multiple of 4.\n\nLet's list out all the possible two-digit combinations that can be formed with the digits 1, 3, 5, and 6, and then check which of them are multiples of 4:\n\nPossible two-digit combinations:\n13, 15, 16, 31, 35, 36, 51, 53, 56, 61, 63, 65\n\nNow, let's check which of these are multiples of 4:\n- 13 is not a multiple of 4.\n- 15 is not a multiple of 4.\n- 16 is a multiple of 4 (4 * 4 = 16).\n- 31 is not a multiple of 4.\n- 35 is not a multiple of 4.\n- 36 is a multiple of 4 (4 * 9 = 36).\n- 51 is not a multiple of 4.\n- 53 is not a multiple of 4.\n- 56 is a multiple of 4 (4 * 14 = 56).\n- 61 is not a multiple of 4.\n- 63 is not a multiple of 4.\n- 65 is not a multiple of 4.\n\nSo, the two-digit combinations that are multiples of 4 are: 16, 36, and 56.\n\nFor each of these combinations, we can form two four-digit numbers by placing the remaining two digits at the front. For example, with the combination 16, we can form the numbers 5316 and 3516.\n\nLet's do this for each of the multiples of 4:\n\nFor 16:\n- 5316\n- 3516\n\nFor 36:\n- 5136\n- 1536\n\nFor 56:\n- 3156\n- 1356\n\nIn total, we have 6 four-digit numbers that are multiples of 4.",
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}
] | 45 |
[
{
"content": "When you multiply a number by 2, you get 18. What is the value of this number when you subtract 4?",
"role": "user"
},
{
"content": "Let's call the number you're looking for x.\n\nAccording to the first part of the problem, when you multiply x by 2, you get 18:\n2 * x = 18\n\nTo find x, divide both sides of the equation by 2:\nx = 18 / 2\nx = 9\n\nNow, according to the second part of the problem, you want to know the value of this number when you subtract 4:\nx - 4 = 9 - 4\nx - 4 = 5\n\nSo, the value of the number when you subtract 4 is 5.",
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}
] | 46 |
[
{
"content": "It is said that it takes an hour to make 8 toys from one machine. How many hours would it take to make 200 toys using 5 machines?",
"role": "user"
},
{
"content": "If one machine takes an hour to make 8 toys, then in one hour, 5 machines would make 5 times as many toys. \n\nSo, 5 machines would make 5 * 8 = 40 toys in one hour.\n\nTo make 200 toys, we would divide the total number of toys needed by the number of toys produced per hour by 5 machines.\n\n200 toys / 40 toys per hour = 5 hours\n\nTherefore, it would take 5 hours to make 200 toys using 5 machines.",
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}
] | 47 |
[
{
"content": "It rained 135 millimeters (mm) yesterday and 12 centimeters (cm) 7 millimeters (mm) today. Find the answer on which day it rained more between yesterday and today.",
"role": "user"
},
{
"content": "To compare the rainfall between yesterday and today, we need to convert the measurements to the same unit. Since the measurements are given in millimeters and centimeters, we'll convert the centimeters to millimeters because 1 centimeter is equal to 10 millimeters.\n\nYesterday's rainfall: 135 mm\n\nToday's rainfall: 12 cm 7 mm\nFirst, convert the centimeters to millimeters:\n12 cm = 12 * 10 mm = 120 mm\n\nNow, add the 7 mm to the converted centimeters:\n120 mm + 7 mm = 127 mm\n\nNow we can compare:\nYesterday: 135 mm\nToday: 127 mm\n\nIt rained more yesterday with 135 mm compared to today's 127 mm.",
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}
] | 48 |
[
{
"content": "As a result of the Korean language test in the school, Taehyung, Minju, Sangmin, Yoonjung, and Yoojung received the highest score in that order. Who got the highest score?",
"role": "user"
},
{
"content": "Taehyung received the highest score.",
"role": "assistant"
}
] | 49 |
[
{
"content": "Find the perimeter of a regular octagon with a side length of 12 meters (m), in meters (m).",
"role": "user"
},
{
"content": "A regular octagon has eight equal sides. To find the perimeter of a regular octagon, you simply multiply the length of one side by the number of sides.\n\nPerimeter of a regular octagon = side length × number of sides\n\nGiven that the side length is 12 meters, the perimeter P is:\n\nP = 12 m × 8\n\nP = 96 m\n\nTherefore, the perimeter of the regular octagon is 96 meters.",
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}
] | 50 |
[
{
"content": "There are 9 people standing in a line from shortest to tallest. Consider Hoseok is the shortest. Then what place does Hoseok take when the line is in order from tallest to shortest?",
"role": "user"
},
{
"content": "If Hoseok is the shortest among the 9 people when they are lined up from shortest to tallest, he would be in the first position. When the order is reversed from tallest to shortest, Hoseok, being the shortest, would take the last position. Since there are 9 people in the line, Hoseok would be in the 9th position.",
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}
] | 51 |
[
{
"content": "Multiplying a number by 11 and adding 1 equals 45. Find the number.",
"role": "user"
},
{
"content": "Let's call the number we are looking for \"x\". According to the problem, if we multiply x by 11 and then add 1, we get 45. We can write this as an equation:\n\n11x + 1 = 45\n\nNow, we need to solve for x. First, we'll subtract 1 from both sides of the equation to isolate the term with x:\n\n11x + 1 - 1 = 45 - 1\n11x = 44\n\nNext, we'll divide both sides of the equation by 11 to solve for x:\n\n11x / 11 = 44 / 11\nx = 4\n\nSo, the number we are looking for is 4.",
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}
] | 52 |
[
{
"content": "You can go to the academy from school in 3 ways, and from the academy to the playground in 4 ways. In total, how many ways are there to get from school to the playground passing the academy?",
"role": "user"
},
{
"content": "To find the total number of ways to get from school to the playground passing through the academy, you multiply the number of ways to get from school to the academy by the number of ways to get from the academy to the playground.\n\nNumber of ways from school to academy = 3\nNumber of ways from academy to playground = 4\n\nTotal number of ways from school to playground via academy = 3 * 4 = 12 ways.",
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}
] | 53 |
[
{
"content": "What is the sum of the lengths of the four sides of a square with a side of 9 centimeters (cm), in cm (cm)?",
"role": "user"
},
{
"content": "The sum of the lengths of the four sides of a square is the perimeter of the square. Since all sides of a square are equal in length, the perimeter (P) can be calculated by multiplying the length of one side (s) by 4.\n\nP = 4s\n\nFor a square with a side length of 9 cm:\n\nP = 4 * 9 cm\nP = 36 cm\n\nSo, the sum of the lengths of the four sides of the square is 36 cm.",
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}
] | 54 |
[
{
"content": "16 teams are about to have a soccer match. Two teams have a game to eliminate the losing team, while only the winning team is allowed to proceed to the next game, and the team who won the last game wins the match. Find the total number of games.",
"role": "user"
},
{
"content": "To determine the total number of games that will be played, we can use a simple elimination process. Since there are 16 teams and in each game one team is eliminated, we can follow this process:\n\n- In the first round, all 16 teams will play, resulting in 8 games (since each game has 2 teams). This will leave us with 8 winning teams.\n- In the second round, the 8 winning teams from the first round will play, resulting in 4 games. This will leave us with 4 winning teams.\n- In the third round, the 4 winning teams from the second round will play, resulting in 2 games. This will leave us with 2 winning teams.\n- In the final round, the 2 winning teams from the third round will play 1 game to determine the overall winner.\n\nAdding up all the games from each round, we get:\n8 (first round) + 4 (second round) + 2 (third round) + 1 (final round) = 15 games\n\nTherefore, the total number of games that will be played is 15.",
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}
] | 55 |
[
{
"content": "A number is less than 10 and is not a multiple of 2 or 3. Which number is it out of 7, 8, 9, or 10?",
"role": "user"
},
{
"content": "The number that is less than 10 and is not a multiple of 2 or 3 out of the options 7, 8, 9, or 10 is 7.\n\nHere's why:\n- 8 is a multiple of 2 (2 x 4).\n- 9 is a multiple of 3 (3 x 3).\n- 10 is a multiple of 2 (2 x 5).\n\n7 is not a multiple of 2 or 3 and is less than 10.",
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}
] | 56 |
[
{
"content": "There is a number that is a multiple of 9. The quotient of a number divided by 9 is then divided again by 9, and the quotient is 25 and the remainder is 7. Find the number.",
"role": "user"
},
{
"content": "Let's denote the number we are looking for as N.\n\nAccording to the problem, when N is divided by 9, we get a quotient which we'll call Q. Then, when Q is divided by 9, the quotient is 25 and the remainder is 7.\n\nSo, we can write the second division as:\nQ = 9 * 25 + 7\n\nNow, let's calculate Q:\nQ = 9 * 25 + 7\nQ = 225 + 7\nQ = 232\n\nNow, we know that N divided by 9 equals Q. So we can write:\nN = 9 * Q\n\nSubstitute the value of Q we found into the equation:\nN = 9 * 232\nN = 2088\n\nTherefore, the number we are looking for is 2088.",
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}
] | 57 |
[
{
"content": "There are 5 types of hot coffee and 4 types of cold coffee in the cafe, and there are 3 types of cookies and 5 types of muffins. Find the number of cases where you order 1 coffee and 1 bread each.",
"role": "user"
},
{
"content": "To find the total number of cases where you order 1 coffee and 1 bread (either a cookie or a muffin), you can use the counting principle, which states that if there are \\( m \\) ways to do one thing and \\( n \\) ways to do another, then there are \\( m \\times n \\) ways to do both.\n\nFirst, let's find the total number of ways to order 1 coffee. Since there are 5 types of hot coffee and 4 types of cold coffee, there are a total of \\( 5 + 4 = 9 \\) types of coffee.\n\nNext, let's find the total number of ways to order 1 bread. Since there are 3 types of cookies and 5 types of muffins, there are a total of \\( 3 + 5 = 8 \\) types of bread.\n\nNow, to find the total number of cases where you order 1 coffee and 1 bread, you multiply the number of coffee choices by the number of bread choices:\n\n\\( 9 \\) (types of coffee) \\( \\times 8 \\) (types of bread) \\( = 72 \\) cases.\n\nSo, there are 72 different cases where you can order 1 coffee and 1 bread.",
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}
] | 58 |
[
{
"content": "A is a number comprised of 1 group of 1000, 16 groups of 100, and 28 groups of 10. B is calculated as 3 jumps from 355 with an interval of 245. Find the value of A-B.",
"role": "user"
},
{
"content": "First, let's calculate the value of A:\n\nA = (1 group of 1000) + (16 groups of 100) + (28 groups of 10)\nA = (1 * 1000) + (16 * 100) + (28 * 10)\nA = 1000 + 1600 + 280\nA = 2600 + 280\nA = 2880\n\nNow, let's calculate the value of B:\n\nB is calculated as 3 jumps from 355 with an interval of 245. This means we add 245 to 355 three times.\n\nFirst jump: 355 + 245 = 600\nSecond jump: 600 + 245 = 845\nThird jump: 845 + 245 = 1090\n\nSo, B = 1090\n\nNow, we can find the value of A - B:\n\nA - B = 2880 - 1090\nA - B = 1790\n\nTherefore, the value of A - B is 1790.",
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}
] | 59 |
[
{
"content": "JungKook and Jimin walked up the stairs to the third floor. Jimin took the elevator from the 3rd floor to the 5th floor. Who has risen higher, Jung Kook or Jimin?",
"role": "user"
},
{
"content": "Jimin has risen higher because he took the elevator from the 3rd floor to the 5th floor, which means he has gone up two floors. JungKook only walked up the stairs to the third floor, starting from an unspecified floor. Without knowing the starting floor for JungKook, we can only confirm that Jimin has risen to a higher floor, the 5th floor.",
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}
] | 60 |
[
{
"content": "A cuboid box is 18 centimeters (cm) long, 10 centimeters (cm) wide, and 2 centimeters (cm) high. How many square centimeters (cm2) will be covered to paint the entire inside of this uncovered box?",
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},
{
"content": "To calculate the area that needs to be painted inside the box, we need to find the area of each of the sides and the bottom of the box and then sum them up.\n\nThe box has the following sides:\n1. Two sides that are 18 cm long and 2 cm high.\n2. Two sides that are 10 cm wide and 2 cm high.\n3. The bottom that is 18 cm long and 10 cm wide.\n\nLet's calculate the area of each:\n\n1. The area of one long side is 18 cm * 2 cm = 36 cm². Since there are two such sides, their combined area is 36 cm² * 2 = 72 cm².\n\n2. The area of one short side is 10 cm * 2 cm = 20 cm². Since there are two such sides, their combined area is 20 cm² * 2 = 40 cm².\n\n3. The area of the bottom is 18 cm * 10 cm = 180 cm².\n\nNow, let's sum up these areas to find the total area that needs to be painted:\n\nTotal area = Area of long sides + Area of short sides + Area of bottom\nTotal area = 72 cm² + 40 cm² + 180 cm²\nTotal area = 292 cm²\n\nTherefore, 292 square centimeters will be covered to paint the entire inside of the box.",
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}
] | 61 |
[
{
"content": "A is 348 and A is less than B by 173. C is greater than B by 299. Find C.",
"role": "user"
},
{
"content": "If A is 348 and A is less than B by 173, we can find B by adding 173 to A:\n\nB = A + 173\nB = 348 + 173\nB = 521\n\nNow, if C is greater than B by 299, we can find C by adding 299 to B:\n\nC = B + 299\nC = 521 + 299\nC = 820\n\nTherefore, C is 820.",
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}
] | 62 |
[
{
"content": "A is 3 groups of 10 and 7 individual units, and B is the number obtained by subtracting 1 from 40. Which is smaller, A or B?",
"role": "user"
},
{
"content": "Let's calculate the value of A and B.\n\nA is 3 groups of 10 and 7 individual units. So, A = (3 * 10) + 7 = 30 + 7 = 37.\n\nB is the number obtained by subtracting 1 from 40. So, B = 40 - 1 = 39.\n\nNow, we compare A and B.\n\nA = 37\nB = 39\n\nSince 37 is less than 39, A is smaller than B.",
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}
] | 63 |
[
{
"content": "Seoyoon's teacher bought her class pizzas. There were 7 students in Seoyoon's class, and each student took 12 pieces, leaving 5 pieces. At this moment, Seoyoon's neighboring classmate came in to play, so it is decided to distribute the pizza again to 8 people including Seoyoon's friend. Find the number of remaining pizza slices at this time.",
"role": "user"
},
{
"content": "First, let's find out how many pizza slices there were in total before Seoyoon's classmate came in.\n\nSeoyoon's class had 7 students, and each took 12 pieces. So the total number of pieces taken by the students is:\n7 students * 12 pieces/student = 84 pieces\n\nThere were also 5 pieces left over before the classmate came in. So the total number of pizza slices was:\n84 pieces (taken by students) + 5 pieces (left over) = 89 pieces\n\nNow, Seoyoon's classmate joins, making the total number of people to share the pizza 8. We need to divide the 89 pieces among 8 people.\n\n89 pieces / 8 people = 11 pieces/person with 1 piece remaining\n\nSo, after redistributing the pizza slices to 8 people, there will be 1 piece remaining.",
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}
] | 64 |
[
{
"content": "20 cars of different colors are parked in a row. The black car is 16th from the right, and the white car is 11th from the left. How many cars are between the black and white cars?",
"role": "user"
},
{
"content": "To find out how many cars are between the black and white cars, we need to determine their positions in the row.\n\nThe black car is 16th from the right. This means there are 15 cars to the right of the black car. Since there are 20 cars in total, the black car is also (20 - 15) = 5th from the left.\n\nThe white car is 11th from the left.\n\nNow, we can calculate the number of cars between the black and white cars by subtracting the position of the black car from the position of the white car and then subtracting 1 (because we don't want to include one of the cars in the count).\n\nSo, the number of cars between the black and white cars is (11 - 5) - 1 = 6 - 1 = 5 cars.",
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}
] | 65 |
[
{
"content": "Find the sum of 100 consecutive odd numbers from 1.",
"role": "user"
},
{
"content": "To find the sum of 100 consecutive odd numbers starting from 1, we can use the formula for the sum of an arithmetic series:\n\nSum = n/2 * (first term + last term)\n\nwhere n is the number of terms.\n\nSince we are looking for the sum of 100 consecutive odd numbers starting from 1, the first term (a1) is 1, and the number of terms (n) is 100.\n\nTo find the last term (an), we can use the formula for the nth term of an arithmetic sequence:\n\nan = a1 + (n - 1)d\n\nwhere d is the common difference between the terms. For odd numbers, the common difference is 2 (since each odd number is 2 more than the previous odd number).\n\nSo, the last term (an) is:\n\nan = 1 + (100 - 1) * 2\nan = 1 + 99 * 2\nan = 1 + 198\nan = 199\n\nNow we can find the sum:\n\nSum = n/2 * (first term + last term)\nSum = 100/2 * (1 + 199)\nSum = 50 * 200\nSum = 10000\n\nTherefore, the sum of the first 100 consecutive odd numbers starting from 1 is 10,000.",
"role": "assistant"
}
] | 66 |
[
{
"content": "Thirty sheets of 25 centimeters (cm) long paper strips were overlapped by 6 centimeters (cm) each and made a long line. Find the total length in centimeters (cm) of the 30 strips of paper glued together.",
"role": "user"
},
{
"content": "To find the total length of the 30 strips of paper glued together, we need to consider the overlap of 6 cm for each subsequent strip after the first one.\n\nThe first strip will contribute its full length of 25 cm to the total length. Each of the remaining 29 strips will overlap the previous strip by 6 cm, so they will each contribute only (25 cm - 6 cm) to the total length.\n\nSo, the total length L can be calculated as follows:\n\nL = length of the first strip + (length of each subsequent strip - overlap) * (number of subsequent strips)\nL = 25 cm + (25 cm - 6 cm) * 29\nL = 25 cm + 19 cm * 29\nL = 25 cm + 551 cm\nL = 576 cm\n\nTherefore, the total length of the 30 strips of paper glued together is 576 centimeters.",
"role": "assistant"
}
] | 67 |
[
{
"content": "There are 9 dogs and 23 cats. How many more cats are there than dogs?",
"role": "user"
},
{
"content": "There are 23 cats and 9 dogs. To find out how many more cats there are than dogs, subtract the number of dogs from the number of cats:\n\n23 cats - 9 dogs = 14 more cats than dogs.",
"role": "assistant"
}
] | 68 |
[
{
"content": "The number of students in Class 1 is 69 and the number of students in Class 2 is 86. When I asked the students in Class 1 and Class 2 to form groups, there were 5 students left in Class 1 and 6 students in Class 2. Find the maximum number of people in a group.",
"role": "user"
},
{
"content": "To find the maximum number of people in a group, we need to find the greatest common divisor (GCD) of the number of students in each class after the leftover students are removed.\n\nFor Class 1, after removing the 5 leftover students, we have 69 - 5 = 64 students.\nFor Class 2, after removing the 6 leftover students, we have 86 - 6 = 80 students.\n\nNow, we need to find the GCD of 64 and 80.\n\nLet's list the factors of each number:\n\nFactors of 64: 1, 2, 4, 8, 16, 32, 64\nFactors of 80: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80\n\nThe common factors are 1, 2, 4, 8, 16.\n\nThe greatest common factor is 16.\n\nTherefore, the maximum number of people in a group is 16.",
"role": "assistant"
}
] | 69 |
[
{
"content": "You have a rectangle with a perimeter of 40 centimeters (cm). If the width of this rectangle is 8 centimeters (cm), how many centimeters (cm) is the length?",
"role": "user"
},
{
"content": "The perimeter of a rectangle is given by the formula:\n\nPerimeter = 2 * (length + width)\n\nGiven that the perimeter is 40 cm and the width is 8 cm, we can plug these values into the formula to find the length:\n\n40 = 2 * (length + 8)\n\nFirst, divide both sides by 2 to isolate the length:\n\n40 / 2 = (length + 8)\n20 = length + 8\n\nNow, subtract 8 from both sides to solve for the length:\n\n20 - 8 = length\n12 = length\n\nTherefore, the length of the rectangle is 12 centimeters.",
"role": "assistant"
}
] | 70 |
[
{
"content": "Two students, Yoongi and Jungkook, have numbers 7 and 6, respectively. Whose number is smaller?",
"role": "user"
},
{
"content": "Jungkook's number is smaller. He has the number 6, while Yoongi has the number 7.",
"role": "assistant"
}
] | 71 |
[
{
"content": "A rectangle-shaped notebook and a square-shaped notebook have the same area. If the lengths of the two sides of the notebook are 9 centimeters (cm) and 16 centimeters (cm), respectively. How many centimeters (cm) are the length of one side of the notebook?",
"role": "user"
},
{
"content": "To find the area of the rectangle-shaped notebook, we multiply the lengths of its two sides:\n\nArea of rectangle = length × width\nArea of rectangle = 9 cm × 16 cm\nArea of rectangle = 144 cm²\n\nSince the square-shaped notebook has the same area as the rectangle-shaped notebook, its area is also 144 cm².\n\nThe area of a square is calculated by squaring the length of one of its sides:\n\nArea of square = side × side\nArea of square = side²\n\nSince we know the area of the square is 144 cm², we can set up the equation:\n\nside² = 144 cm²\n\nTo find the length of one side of the square-shaped notebook, we take the square root of the area:\n\nside = √(144 cm²)\nside = 12 cm\n\nTherefore, the length of one side of the square-shaped notebook is 12 centimeters.",
"role": "assistant"
}
] | 72 |
[
{
"content": "Find how many multiples of 4 are less than 30.",
"role": "user"
},
{
"content": "To find the multiples of 4 that are less than 30, we can start by dividing 30 by 4.\n\n30 ÷ 4 = 7.5\n\nSince we are looking for whole multiples, we take the integer part of the result, which is 7. This means that the largest multiple of 4 that is less than 30 is 4 times 7, which is 28.\n\nNow, we list the multiples of 4 up to 28:\n\n4, 8, 12, 16, 20, 24, 28\n\nCounting these, we find that there are 7 multiples of 4 that are less than 30.",
"role": "assistant"
}
] | 73 |
[
{
"content": "Yewon ran at a speed of 180 meters (m) in 30 seconds. How many meters (m) did Yewon run in 1 minute?",
"role": "user"
},
{
"content": "If Yewon ran 180 meters in 30 seconds, then in 1 minute (which is 60 seconds), she would run twice that distance because 60 seconds is twice as long as 30 seconds.\n\nSo, in 1 minute, Yewon would run:\n180 meters * 2 = 360 meters\n\nYewon ran 360 meters in 1 minute.",
"role": "assistant"
}
] | 74 |
[
{
"content": "10's are 21, 1's are 8, 0.1's are 5, and 0.01's are 34 in a certain number. How much is this number?",
"role": "user"
},
{
"content": "To find the number, we need to add the values of each place:\n\n- The 10's place has 21 tens, which is 21 * 10 = 210.\n- The 1's place has 8 ones, which is 8 * 1 = 8.\n- The 0.1's place has 5 tenths, which is 5 * 0.1 = 0.5.\n- The 0.01's place has 34 hundredths, which is 34 * 0.01 = 0.34.\n\nNow, we add all these values together:\n\n210 (from the 10's) + 8 (from the 1's) + 0.5 (from the 0.1's) + 0.34 (from the 0.01's) = 218.84\n\nSo, the number is 218.84.",
"role": "assistant"
}
] | 75 |
[
{
"content": "There are 45 apples. There are 21 fewer pears than apples. How many tangerines are there if there are 18 fewer pears than tangerines?",
"role": "user"
},
{
"content": "Let's break it down step by step:\n\n1. We know there are 45 apples.\n2. There are 21 fewer pears than apples, so we subtract 21 from the number of apples to find the number of pears:\n Number of pears = Number of apples - 21\n Number of pears = 45 - 21\n Number of pears = 24\n\n3. There are 18 fewer pears than tangerines, so we add 18 to the number of pears to find the number of tangerines:\n Number of tangerines = Number of pears + 18\n Number of tangerines = 24 + 18\n Number of tangerines = 42\n\nSo, there are 42 tangerines.",
"role": "assistant"
}
] | 76 |
[
{
"content": "Yoongi has 4, and Jungkook has a number that is the quotient of 6 divided by 3. Who has the bigger number?",
"role": "user"
},
{
"content": "Jungkook has a number that is the quotient of 6 divided by 3, which is 2 (since 6 ÷ 3 = 2). Yoongi has 4. Therefore, Yoongi has the bigger number.",
"role": "assistant"
}
] | 77 |
[
{
"content": "You want to put 5 different books A, B, C, D, and E on a bookshelf. When A, B, and C are placed on the left side in such order, find the number of ways to place books on the bookshelf.",
"role": "user"
},
{
"content": "Since books A, B, and C must be placed on the left side in that specific order, we only need to consider the placement of books D and E.\n\nThere are two spots remaining on the bookshelf for books D and E, and there are two books to place, so we can calculate the number of ways to place them using permutations. The number of permutations of n items taken r at a time is given by the formula:\n\n\\[ P(n, r) = \\frac{n!}{(n-r)!} \\]\n\nIn this case, we have n = 2 (two books to place) and r = 2 (two spots available), so:\n\n\\[ P(2, 2) = \\frac{2!}{(2-2)!} = \\frac{2!}{0!} = \\frac{2 \\times 1}{1} = 2 \\]\n\nSo there are 2 ways to place books D and E on the shelf. Since the order of A, B, and C is fixed, the total number of ways to place all five books on the shelf is also 2.",
"role": "assistant"
}
] | 78 |
[
{
"content": "There is a number that is divisible by 5 and the resulting quotient is 4. Subtract 10 from that particular number, and then multiply by 3, and then subtract 18. What is the answer?",
"role": "user"
},
{
"content": "Let's call the number we're looking for \"N\".\n\nAccording to the problem, N is divisible by 5 and the resulting quotient is 4. So we can write this as:\n\nN / 5 = 4\n\nTo find N, we multiply both sides by 5:\n\nN = 4 * 5\nN = 20\n\nNow, we subtract 10 from N:\n\n20 - 10 = 10\n\nNext, we multiply this result by 3:\n\n10 * 3 = 30\n\nFinally, we subtract 18 from this result:\n\n30 - 18 = 12\n\nSo the answer is 12.",
"role": "assistant"
}
] | 79 |
[
{
"content": "You want to create a three-digit number by selecting three out of 5, 6, 4, and 7 and using them only once. Find the sum of the digits of the largest possible number.",
"role": "user"
},
{
"content": "To create the largest possible three-digit number, we should select the largest digits from the given set and arrange them in descending order.\n\nThe given digits are 5, 6, 4, and 7. The largest digits are 7, 6, and 5.\n\nArranging them in descending order, we get the number 765.\n\nNow, to find the sum of the digits of this number, we add them together:\n\n7 + 6 + 5 = 18\n\nSo, the sum of the digits of the largest possible number is 18.",
"role": "assistant"
}
] | 80 |
[
{
"content": "63 is the result of mistakely adding 44 and subtracting 39 when you actually have to add 39 to this certain number and subtract 44. Find the result of the correct calculation.",
"role": "user"
},
{
"content": "Let's call the certain number \"x\".\n\nAccording to the mistake, the calculation was:\nx + 44 - 39 = 63\n\nNow, let's correct the calculation as per the instructions:\nx + 39 - 44\n\nFirst, let's find the value of x from the mistaken calculation:\nx + 44 - 39 = 63\nx + 5 = 63\nx = 63 - 5\nx = 58\n\nNow that we have the value of x, we can perform the correct calculation:\n58 + 39 - 44\n\nLet's do the math:\n58 + 39 = 97\n97 - 44 = 53\n\nSo, the result of the correct calculation is 53.",
"role": "assistant"
}
] | 81 |
[
{
"content": "Given 3 number cards with 6, 3, and 8 written on them, find the sum of the largest and smallest three-digit numbers that can be formed by using each card only once.",
"role": "user"
},
{
"content": "To form the largest three-digit number using the cards with 6, 3, and 8, we should place the largest digit in the hundreds place, the second largest in the tens place, and the smallest in the ones place. Therefore, the largest number we can form is 863.\n\nTo form the smallest three-digit number, we should place the smallest digit in the hundreds place, the second smallest in the tens place, and the largest in the ones place. However, we must be careful not to place the 0 in the hundreds place as that would not create a three-digit number. Since we don't have a 0 and all digits are non-zero, we can simply arrange them in ascending order. Therefore, the smallest number we can form is 368.\n\nNow, we find the sum of the largest and smallest numbers:\n\n863 (largest number)\n+ 368 (smallest number)\n------\n1231 (sum)\n\nThe sum of the largest and smallest three-digit numbers that can be formed by using each card only once is 1231.",
"role": "assistant"
}
] | 82 |
[
{
"content": "How many three-digit numbers are common multiples of 4 and 5?",
"role": "user"
},
{
"content": "To find the three-digit numbers that are common multiples of 4 and 5, we need to find the least common multiple (LCM) of 4 and 5 and then determine how many multiples of that LCM fall within the range of three-digit numbers (100 to 999).\n\nThe LCM of 4 and 5 is 20 because 20 is the smallest number that both 4 and 5 can divide into without leaving a remainder.\n\nNow, we need to find the smallest and largest three-digit multiples of 20.\n\nThe smallest three-digit number is 100, but it is not a multiple of 20. To find the smallest three-digit multiple of 20, we can divide 100 by 20 and then take the ceiling of the result to find the next whole number multiple:\n\n100 ÷ 20 = 5 (remainder 0)\n\nSince 100 is already a multiple of 20, the smallest three-digit multiple of 20 is 100.\n\nThe largest three-digit number is 999, but it is not a multiple of 20. To find the largest three-digit multiple of 20, we can divide 999 by 20 and then take the floor of the result to find the previous whole number multiple:\n\n999 ÷ 20 = 49 (remainder 19)\n\nThe largest whole number multiple of 20 before 999 is 49 × 20 = 980.\n\nNow, we need to count how many multiples of 20 there are between 100 and 980 inclusive. We can do this by subtracting the smallest multiple from the largest multiple and then dividing by 20, and finally adding 1 to include both endpoints:\n\n(980 - 100) ÷ 20 + 1 = 880 ÷ 20 + 1 = 44 + 1 = 45\n\nTherefore, there are 45 three-digit numbers that are common multiples of 4 and 5.",
"role": "assistant"
}
] | 83 |
[
{
"content": "Find the smallest number that can be made by using all the number cards 0, 2, 4, 6, 8 and 9 only once.",
"role": "user"
},
{
"content": "To find the smallest number using the digits 0, 2, 4, 6, 8, and 9, we need to arrange them in ascending order, with the smallest digit at the highest place value (except for the leading digit, which cannot be 0).\n\nSo, the smallest number would be: 204689.",
"role": "assistant"
}
] | 84 |
[
{
"content": "How many two-digit numbers are there which are made up of 1 and 4 and, when flipped, become other numbers?",
"role": "user"
},
{
"content": "To find two-digit numbers made up of 1 and 4 that become other numbers when flipped, we need to consider the combinations of 1 and 4 in the tens and units places.\n\nThe possible two-digit numbers using 1 and 4 are:\n- 11\n- 14\n- 41\n- 44\n\nNow, let's consider what happens when we flip these numbers:\n- 11 remains 11 when flipped, so it does not become another number.\n- 14 becomes 41 when flipped, which is another number.\n- 41 becomes 14 when flipped, which is another number.\n- 44 remains 44 when flipped, so it does not become another number.\n\nTherefore, there are 2 two-digit numbers made up of 1 and 4 that become other numbers when flipped: 14 and 41.",
"role": "assistant"
}
] | 85 |
[
{
"content": "Hoseok had 576 marbles, and Yoongi had 352. If Hoseok gives Yoongi 100 marbles, who has more marbles?",
"role": "user"
},
{
"content": "If Hoseok gives Yoongi 100 marbles, then Hoseok will have:\n\n576 - 100 = 476 marbles\n\nAnd Yoongi will have:\n\n352 + 100 = 452 marbles\n\nAfter the exchange, Hoseok will have 476 marbles and Yoongi will have 452 marbles. Therefore, Hoseok will still have more marbles than Yoongi.",
"role": "assistant"
}
] | 86 |
[
{
"content": "The three students, Yoongi, Jungkook and Yuna, have the numbers 7, 6, and 9 respectively. Who has the smallest number?",
"role": "user"
},
{
"content": "Jungkook has the smallest number, which is 6.",
"role": "assistant"
}
] | 87 |
[
{
"content": "When you divide a particular number by 10, you get 6. What number do you get when you subtract 15 from that particular number?",
"role": "user"
},
{
"content": "If dividing a particular number by 10 gives you 6, then the particular number is 6 * 10 = 60.\n\nIf you subtract 15 from that particular number (60), you get:\n\n60 - 15 = 45\n\nSo, when you subtract 15 from that particular number, you get 45.",
"role": "assistant"
}
] | 88 |
[
{
"content": "Jungkook, who had 6 apples, received 3 more. When Yoongi has 4 apples, who has fewer apples?",
"role": "user"
},
{
"content": "Yoongi has fewer apples. He has 4 apples, while Jungkook has a total of 6 + 3 = 9 apples.",
"role": "assistant"
}
] | 89 |
[
{
"content": "Find the sum of the digits of the even numbers from 600 to 800.",
"role": "user"
},
{
"content": "To find the sum of the digits of the even numbers from 600 to 800, we need to first identify all the even numbers in that range and then sum up their digits.\n\nThe even numbers from 600 to 800 are: 600, 602, 604, 606, ..., 798, 800.\n\nLet's break down the process:\n\n1. Identify the even numbers.\n2. Sum the digits of each even number.\n3. Add the sums together.\n\nSince there are many numbers to consider, we can look for a pattern to simplify the process.\n\nFor the hundreds digit, we have '6' for numbers from 600 to 699, '7' for numbers from 700 to 799, and '8' for the number 800. Since we are only considering even numbers, the units digit will alternate between 0, 2, 4, 6, and 8. The tens digit will go from 0 to 9 and then repeat.\n\nLet's calculate the sum of the digits for each hundred:\n\nFor 600-699:\n- Hundreds digit sum: 6 * 50 (since there are 50 even numbers in this range)\n- Tens digit sum: (0+1+2+3+4+5+6+7+8+9) * 5 (since each digit appears 5 times as the tens digit in the even numbers)\n- Units digit sum: (0+2+4+6+8) * 10 (since each digit appears 10 times as the units digit in the even numbers)\n\nFor 700-799:\n- Hundreds digit sum: 7 * 50\n- Tens digit sum: (0+1+2+3+4+5+6+7+8+9) * 5\n- Units digit sum: (0+2+4+6+8) * 10\n\nFor 800:\n- Hundreds digit sum: 8\n- Tens digit sum: 0\n- Units digit sum: 0\n\nNow, let's calculate the sums:\n\nFor 600-699:\n- Hundreds digit sum: 6 * 50 = 300\n- Tens digit sum: (0+1+2+3+4+5+6+7+8+9) * 5 = 45 * 5 = 225\n- Units digit sum: (0+2+4+6+8) * 10 = 20 * 10 = 200\n\nFor 700-799:\n- Hundreds digit sum: 7 * 50 = 350\n- Tens digit sum: 225 (same as above)\n- Units digit sum: 200 (same as above)\n\nFor 800:\n- Hundreds digit sum: 8\n- Tens digit sum: 0\n- Units digit sum: 0\n\nAdding these sums together:\n\n600-699: 300 + 225 + 200 = 725\n700-799: 350 + 225 + 200 = 775\n800: 8 + 0 + 0 = 8\n\nTotal sum: 725 + 775 + 8 = 1508\n\nTherefore, the sum of the digits of the even numbers from 600 to 800 is 1508.",
"role": "assistant"
}
] | 90 |
[
{
"content": "Subtracting 7/3 from a number equals 3/2. What is the result if you add 7/3 to that number?",
"role": "user"
},
{
"content": "Let's call the number we're looking for \"x\". According to the problem, subtracting 7/3 from x gives us 3/2:\n\nx - 7/3 = 3/2\n\nTo find x, we need to add 7/3 to both sides of the equation:\n\nx - 7/3 + 7/3 = 3/2 + 7/3\n\nThis simplifies to:\n\nx = 3/2 + 7/3\n\nTo add these two fractions, we need a common denominator. The least common denominator for 2 and 3 is 6. So we convert each fraction:\n\n3/2 = 9/6 (because 3 * 3 = 9 and 2 * 3 = 6)\n7/3 = 14/6 (because 7 * 2 = 14 and 3 * 2 = 6)\n\nNow we can add them:\n\nx = 9/6 + 14/6\nx = (9 + 14) / 6\nx = 23/6\n\nSo the number we're looking for is 23/6. Now, if we add 7/3 to that number:\n\n23/6 + 7/3\n\nAgain, we need a common denominator, which is still 6. We convert 7/3 to a fraction with a denominator of 6:\n\n7/3 = 14/6\n\nNow we add them:\n\n23/6 + 14/6 = (23 + 14) / 6\n= 37/6\n\nSo the result of adding 7/3 to the number is 37/6.",
"role": "assistant"
}
] | 91 |
[
{
"content": "There were 3 kilograms (kg) and 300 grams (g) of strawberries. Among them, I gave 1 kilogram (kg) 900 grams (g) to a friend. How many grams (g) of strawberries are left?",
"role": "user"
},
{
"content": "First, let's convert the total amount of strawberries to grams. Since there are 1000 grams in a kilogram, we have:\n\n3 kilograms = 3 * 1000 grams = 3000 grams\n300 grams are already in grams.\n\nSo, the total amount of strawberries in grams is:\n3000 grams + 300 grams = 3300 grams\n\nNow, let's convert the amount given to the friend to grams:\n\n1 kilogram = 1 * 1000 grams = 1000 grams\n900 grams are already in grams.\n\nSo, the amount given to the friend in grams is:\n1000 grams + 900 grams = 1900 grams\n\nNow, let's subtract the amount given to the friend from the total amount to find out how many grams are left:\n\n3300 grams - 1900 grams = 1400 grams\n\nTherefore, there are 1400 grams of strawberries left.",
"role": "assistant"
}
] | 92 |
[
{
"content": "Miae made a square with a side of 20 centimeters (cm) using wire. Using a wire of the same length as this one, Taehee made a rectangle wide 14 centimeters (cm). How many centimeters (cm) is the length of the rectangle Taehee made?",
"role": "user"
},
{
"content": "First, let's calculate the length of the wire Miae used to make the square. Since a square has four equal sides, we can find the total length of the wire by multiplying the length of one side by 4.\n\nLength of wire for the square = Side of square × 4\nLength of wire for the square = 20 cm × 4\nLength of wire for the square = 80 cm\n\nNow, Taehee used the same length of wire to make a rectangle. We know the width of the rectangle is 14 cm, and we need to find the length. Let's denote the length of the rectangle as L.\n\nThe perimeter of a rectangle is given by the formula:\nPerimeter of rectangle = 2 × (Length + Width)\n\nSince Taehee used the same length of wire as Miae, the perimeter of Taehee's rectangle is also 80 cm.\n\n80 cm = 2 × (L + 14 cm)\n\nNow, let's solve for L:\n\n80 cm = 2L + 28 cm\n80 cm - 28 cm = 2L\n52 cm = 2L\nL = 52 cm / 2\nL = 26 cm\n\nSo, the length of the rectangle Taehee made is 26 centimeters.",
"role": "assistant"
}
] | 93 |
[
{
"content": "Suppose that street trees are planted on the road that is 2575 meters (m) long at intervals of 25 meters (m). How many street trees will be planted? (However, trees are also planted at the beginning and end of the road.)",
"role": "user"
},
{
"content": "To find out how many street trees will be planted, we need to divide the total length of the road by the interval at which the trees are planted and then add one more tree for the tree at the end of the road.\n\nThe total length of the road is 2575 meters, and the interval at which the trees are planted is 25 meters.\n\nNumber of intervals = Total length of the road / Interval length\nNumber of intervals = 2575 meters / 25 meters\nNumber of intervals = 103\n\nSince trees are planted at each interval and also at the beginning and end of the road, we need to add one more tree to the total number of intervals.\n\nTotal number of trees = Number of intervals + 1\nTotal number of trees = 103 + 1\nTotal number of trees = 104\n\nTherefore, 104 street trees will be planted along the road.",
"role": "assistant"
}
] | 94 |
[
{
"content": "Yoongi's aunt is 38 years old. Yoongi is 23 years younger than his aunt. Hoseok is 4 years younger than Yoongi. What is the sum of Yoongi and Hoseok's ages?",
"role": "user"
},
{
"content": "If Yoongi's aunt is 38 years old and Yoongi is 23 years younger than his aunt, then Yoongi is:\n\n38 - 23 = 15 years old.\n\nIf Hoseok is 4 years younger than Yoongi, then Hoseok is:\n\n15 - 4 = 11 years old.\n\nThe sum of Yoongi and Hoseok's ages is:\n\n15 (Yoongi's age) + 11 (Hoseok's age) = 26 years.",
"role": "assistant"
}
] | 95 |
[
{
"content": "If you can make a number with two decimal digits that is made by using the numbers 3, 8, 2, and 7 once, write the third smallest number.",
"role": "user"
},
{
"content": "To find the third smallest number using the digits 3, 8, 2, and 7, we first need to list out the possible two-decimal-digit numbers that can be made using these digits without repetition.\n\nLet's start by listing the possible numbers with the smallest digit, 2, in the tens place:\n- 23.78\n- 23.87\n- 27.38\n- 27.83\n- 28.37\n- 28.73\n\nNext, we list the possible numbers with the next smallest digit, 3, in the tens place:\n- 32.78\n- 32.87\n- 37.28\n- 37.82\n- 38.27\n- 38.72\n\nNow, we list the possible numbers with the digit 7 in the tens place:\n- 72.38\n- 72.83\n- 73.28\n- 73.82\n- 78.23\n- 78.32\n\nFinally, we list the possible numbers with the largest digit, 8, in the tens place:\n- 82.37\n- 82.73\n- 83.27\n- 83.72\n- 87.23\n- 87.32\n\nNow we have all the possible two-decimal-digit numbers using the digits 3, 8, 2, and 7 once. To find the third smallest, we need to sort these numbers. The smallest numbers will start with the smallest tens digit, which is 2, followed by 3, then 7, and finally 8.\n\nThe smallest number is 23.78, the second smallest is 23.87, and the third smallest is 27.38.\n\nTherefore, the third smallest number is 27.38.",
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] | 96 |
[
{
"content": "Taehyung is trying to divide 21/11 liters (L) of water into 7/11 liters (L) per cup, and Hoseok is trying to divide 8/17 liters (L) of water into 2/17 liters (L) per cup. How many cups will Taehyung and Hoseok need in order to divide all the water they each have into the cups?",
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"content": "To find out how many cups Taehyung and Hoseok will need, we need to divide the total amount of water they each have by the amount of water they want to put in each cup.\n\nFor Taehyung:\nHe has 21/11 liters of water and wants to divide it into cups of 7/11 liters each. To find out how many cups he will need, we divide the total amount of water by the amount per cup:\n\n(21/11) ÷ (7/11) = (21 ÷ 7) / (11 ÷ 11) = 3 / 1 = 3 cups\n\nTaehyung will need 3 cups.\n\nFor Hoseok:\nHe has 8/17 liters of water and wants to divide it into cups of 2/17 liters each. To find out how many cups he will need, we divide the total amount of water by the amount per cup:\n\n(8/17) ÷ (2/17) = (8 ÷ 2) / (17 ÷ 17) = 4 / 1 = 4 cups\n\nHoseok will need 4 cups.\n\nIn conclusion, Taehyung will need 3 cups and Hoseok will need 4 cups to divide all the water they each have into the cups.",
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] | 97 |
[
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"content": "You have a square with a perimeter of 17.8 centimeters (cm). How many centimeters (cm) is one side of this figure?",
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"content": "To find the length of one side of the square, we need to divide the total perimeter by the number of sides a square has, which is 4.\n\nSo, if the perimeter is 17.8 cm, we divide that by 4:\n\n17.8 cm ÷ 4 = 4.45 cm\n\nTherefore, one side of the square is 4.45 cm long.",
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] | 98 |
[
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"content": "Eunbi and Jaeyeon practiced running every day for five days. If Eunbi ran a total of 4.3 kilometers (km) for 5 days and Jaeyeon ran 900 meters (m) every day, find out who would have run more.",
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"content": "First, let's convert Jaeyeon's daily running distance into kilometers since Eunbi's total distance is given in kilometers. \n\n1 kilometer is equal to 1000 meters. So, to convert 900 meters to kilometers, we divide by 1000.\n\n900 meters / 1000 = 0.9 kilometers\n\nNow, Jaeyeon runs 0.9 kilometers every day. Since he practiced for 5 days, we multiply his daily distance by 5 to find his total distance.\n\n0.9 kilometers/day * 5 days = 4.5 kilometers\n\nNow we can compare the total distances:\n\nEunbi ran a total of 4.3 kilometers in 5 days.\nJaeyeon ran a total of 4.5 kilometers in 5 days.\n\nJaeyeon ran more, with a total of 4.5 kilometers compared to Eunbi's 4.3 kilometers.",
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] | 99 |
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