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<s>[INST] We filled a 1 liter (l) 400 milliliter (ml) vase and a 2800 milliliter (ml) milk bottle with water, and then poured it all into a basin, which made the basin full. Between this basin a tank with 4 liters (L) and 100 milliliters (ml), which one can have more water inside? [/INST] First, let's convert all the m... |
<s>[INST] There are five types of shapes: triangular-prism, quadrangular-prism, triangular-pyramid, quadrangular-pyramid, and truncated-quadrangular-pyramid. Given that you place a sticker on the center of each face of each shape, which shape needs the least number of stickers? [/INST] To determine which shape needs th... |
<s>[INST] Suzy has a wire of 9 centimeters (cm) 8 millimeters (mm), Yeongju has 8.9 centimeters (cm), and Youngho has 9.3 centimeters (cm). Who has the shortest wire length? [/INST] To compare the wire lengths, we need to convert all measurements to the same unit. Let's convert the lengths to millimeters (mm), since 1 ... |
<s>[INST] When Jimin counted the money he had, there were 5 100 won coins and 1 50 won coin. If Seok-jin, who was next to him, had 2 100-won coins and 7 10-won coins, what would be the most expensive item the two of them could buy with the money they had? [/INST] First, let's calculate the total amount of money Jimin h... |
<s>[INST] Which four-digit number is the smallest common multiple of 5, 6, and 2? [/INST] To find the smallest common multiple of 5, 6, and 2, we need to find the least common multiple (LCM) of these numbers.
The prime factorization of each number is:
- 5 is a prime number, so its prime factorization is 5.
- 6 can be ... |
<s>[INST] There are a total of three numbers: 0.8, 1/2, and 0.5. How many of these numbers are less than or equal to 3? [/INST] All three numbers are less than or equal to 3.
0.8 is less than 3.
1/2 (which is 0.5 when converted to a decimal) is less than 3.
0.5 is less than 3.
Therefore, all three numbers (0.8, 1/2, ... |
<s>[INST] You are trying to find a two-digit number that is divisible by 3 and 4 and divided by 5 has a remainder of 4. What is the smallest two-digit number you can make? [/INST] To find a two-digit number that is divisible by both 3 and 4, we need to find the least common multiple (LCM) of 3 and 4. The LCM of 3 and 4... |
<s>[INST] When 632-AB1=41, what number should go in B? [/INST] To solve for B, we need to isolate B on one side of the equation. Let's first rewrite the equation without the dash:
632 - AB1 = 41
Now, let's move 632 to the right side of the equation by subtracting it from both sides:
-AB1 = 41 - 632
Now we have:
-A... |
<s>[INST] Roosters outnumber hens by 16. How many chickens are there on the farm when there are 52 hens? [/INST] If there are 52 hens and roosters outnumber hens by 16, then there are 52 + 16 = 68 roosters.
To find the total number of chickens on the farm, we add the number of hens and roosters together:
52 hens + 68... |
<s>[INST] A and B are single-digit numbers. A is 3 greater than 5, and B is 2 less than A. Calculate the sum of A and B. [/INST] A is 3 greater than 5, so A = 5 + 3 = 8.
B is 2 less than A, so B = A - 2 = 8 - 2 = 6.
The sum of A and B is A + B = 8 + 6 = 14. </s> |
<s>[INST] You had to add 2 to a certain number, but you mistakenly subtracted it, and the result was 5. What is the value if it is correctly calculated? [/INST] Let's call the certain number "x". According to the mistake, you subtracted 2 instead of adding it, and the result was 5. So the equation for the mistake is:
... |
<s>[INST] Nine people stand in a line in order from shortest to tallest. Hoseok is the tallest, and Yuna stands 5th ahead of Hoseok. If you line up again in order of tallest people, what number will Yuna stand from the front? [/INST] If Hoseok is the tallest, he would stand at the 9th position from the front when lined... |
<s>[INST] (c) fruit is heavier than (b) fruit and lighter than (a) fruit. What is the heaviest fruit? [/INST] The heaviest fruit is (a) fruit. </s> |
<s>[INST] How many three-digit numbers are divisible by the four numbers 6, 5, 8, and 9? [/INST] To find the three-digit numbers divisible by 6, 5, 8, and 9, we need to find the least common multiple (LCM) of these four numbers. The LCM will be the smallest number that is divisible by all four numbers, and any multiple... |
<s>[INST] Find the average of the natural numbers that are divisible by 6 and are between 30 and 50. [/INST] To find the average of the natural numbers divisible by 6 between 30 and 50, we first need to identify these numbers.
The natural numbers divisible by 6 in that range are:
- 30 (6 * 5)
- 36 (6 * 6)
- 42 (6 * 7)... |
<s>[INST] 1000 marbles are divided between class 1 and 2, but class 1 has 50 more marbles. Then, the students in class 2 were divided into two teams of boys and girls and shared the marbles they brought, and the boys got 35 more. If 17 male students in class 2 share the marbles equally, find how many marbles each male ... |
<s>[INST] There are 2.3 liters (L) of Coke extract. It is said that 3 bottles of cola are made with 400 milliliters (ml) of cola extract. How many bottles of Coke can you make? (However, 3 bottles of Coke can be made at a time.) [/INST] First, we need to convert the 2.3 liters of Coke extract to milliliters because the... |
<s>[INST] Hoseok jumped the rope 34 times and Minyoung jumped it 51 times. How many more times does Hoseok have to jump to get the same number of jumps as Minyoung? [/INST] To find out how many more times Hoseok has to jump to get the same number of jumps as Minyoung, we subtract the number of times Hoseok has already ... |
<s>[INST] There are five boxes: A, B, C, D, and E. D box is larger than B box and smaller than A box. B box is larger than E box. A box is smaller than C box. Which box is the largest? [/INST] Based on the information provided:
- D is larger than B but smaller than A.
- B is larger than E.
- A is smaller than C.
From... |
<s>[INST] There are 5 tuna and 2 spearfish in the sea. What is the total number of fish in the sea? [/INST] The total number of fish in the sea is 5 tuna + 2 spearfish = 7 fish. </s> |
<s>[INST] There were 7 buses in the parking lot and 6 more came a few minutes later. How many buses are in the parking lot right now? [/INST] If there were originally 7 buses in the parking lot and 6 more came, you would add the two numbers together to find the total number of buses in the parking lot now.
7 buses + 6... |
<s>[INST] When 9A3B was rounded up to the tens place, it was 9430. What is A? [/INST] To round 9A3B to the nearest ten, we need to look at the digit in the ones place, which is B. If B is 5 or greater, we round up, and if B is less than 5, we round down.
Since the rounded number is 9430, we know that the tens digit di... |
<s>[INST] There is a prism with the sum of the number of edges and vertices equal to 30. What is the number of sides of this prism plus 2? [/INST] Let's denote the number of vertices of the prism as V, the number of edges as E, and the number of faces as F. For a prism, the number of faces F is equal to the number of s... |
<s>[INST] A is a number from 1 to 9. What is the sum of all As that satisfy 0.4<0.A, 6.A<6.8, and 3.A<A.4? [/INST] Let's analyze each condition one by one:
1. \( 0.4 < 0.A \)
Since A is a digit from 1 to 9, the smallest possible value for A that satisfies this condition is 5 (because 0.5 is the smallest number greater... |
<s>[INST] There are 5 consecutive natural numbers whose sum is 100. What is the smallest of these numbers? [/INST] Let's call the smallest of these 5 consecutive natural numbers "n". The next four numbers would then be n+1, n+2, n+3, and n+4.
The sum of these 5 numbers is given as 100, so we can write the equation:
... |
<s>[INST] Taehyung is 5 years older than his younger brother, and this year Taehyung's younger brother is 7 years old. How old is his mother when the age difference between Taehyung and his mother is 31 years? [/INST] If Taehyung's younger brother is 7 years old, and Taehyung is 5 years older than his brother, then Tae... |
<s>[INST] If you add 10 to A, you get 15. How much is A? [/INST] If you add 10 to A and get 15, you can find the value of A by subtracting 10 from 15.
15 - 10 = 5
So, A is 5. </s> |
<s>[INST] Jungkook has 5 red balls, 4 blue balls, and 3 yellow balls. When Yoongi gives Jungkook one red ball, how many yellow balls does Jungkook have? [/INST] Jungkook originally has 3 yellow balls. When Yoongi gives Jungkook one red ball, it does not affect the number of yellow balls Jungkook has. Therefore, Jungkoo... |
<s>[INST] If you bend a 12 centimeters (cm) wire in half, and then bend the bent wire in half again, how many centimeters (cm) is the current length of the wire? [/INST] When you bend a 12 cm wire in half, you divide its length by 2, so it becomes 12 cm / 2 = 6 cm long.
Then, when you bend this 6 cm wire in half again... |
<s>[INST] A number subtracted by 5 multiplied by 4 equals the number multiplied by 2. Find the number. [/INST] Let's denote the number as \( n \).
According to the problem, we have the equation:
\( (n - 5) \times 4 = n \times 2 \)
Now, let's solve for \( n \):
\( 4n - 20 = 2n \)
Subtract \( 2n \) from both sides t... |
<s>[INST] There are 6 (A) animals, 8 (B) animals, and 4 (C) animals. How many animals are there in all? [/INST] To find the total number of animals, you simply add the numbers together:
A animals + B animals + C animals = Total animals
6 (A) + 8 (B) + 4 (C) = 18 animals in all. </s> |
<s>[INST] There is a cube with a side with an area of 64 square centimeters (cm2). What is the volume of this cube? [/INST] If one side of the cube has an area of 64 cm², then the length of each side of the cube is the square root of 64 cm², which is 8 cm.
The volume of a cube is found by multiplying the length of one... |
<s>[INST] How many ways are possible to make a three-digit number by selecting three of 1, 3, 5, 7, and 9? [/INST] To form a three-digit number by selecting three of the given digits (1, 3, 5, 7, 9), we need to consider that each digit can be used only once in each number (since it's not specified that repetition is al... |
<s>[INST] The number of students at Sejeong's School is 1443. However, there are 141 more male students than female students. How many male students are there? [/INST] Let's denote the number of male students as M and the number of female students as F.
According to the information given, we have two equations:
1) Th... |
<s>[INST] At a constant speed, a taxi travels a distance of 17.28 kilometers (km) in 16 minutes, and a car travels a distance of 8.52 kilometers (km) in 6 minutes. If you start from the same place and drive for 15 minutes, which goes farther: a taxi or a car? [/INST] First, let's calculate the speed of the taxi and the... |
<s>[INST] A large cube was made out of eight dices of the same size. If the surface area of one die is 96 square centimeters (cm2), find the volume in cubic centimeters (cm3) of the cube created. [/INST] First, let's find the surface area of the large cube. Since one die has a surface area of 96 cm², and each die has 6... |
<s>[INST] A and B are two natural numbers. If B is the number obtained by multiplying A by 9 and then adding 13, what is the remainder when B is divided by 9? [/INST] Let's denote A as a natural number. According to the given information, B is obtained by multiplying A by 9 and then adding 13. So, we can write B as:
B... |
<s>[INST] A clock tower bell in a village rings once every hour on the hour. If a year is counted as 365 days, how many times does the clock tower bell ring in a year? [/INST] The clock tower bell rings once every hour. There are 24 hours in a day. So, in one day, the bell rings 24 times.
If a year has 365 days, then ... |
<s>[INST] If a factory produces 500 soccer balls in 30 minutes and 800 basketball balls in 1 hour, which ball will be produced more after 5 hours? [/INST] First, let's calculate the production rate for each type of ball.
For soccer balls:
500 soccer balls are produced in 30 minutes, which is half an hour. To find out ... |
<s>[INST] When 3×7=7×A=B, what is the sum of A and B? [/INST] Let's first solve for A.
We have the equation 3×7=7×A. Since 3×7 is equal to 21, we can write the equation as:
21 = 7×A
To solve for A, we divide both sides of the equation by 7:
A = 21 / 7
A = 3
Now that we have the value of A, we can find the value of... |
<s>[INST] When the five numbers 9867, 8976, 9876, 9687, and 9689 are arranged from smallest to largest, write the 4th smallest number. [/INST] To find the 4th smallest number, we first arrange the given numbers from smallest to largest:
8976, 9687, 9689, 9867, 9876
The 4th smallest number in this sequence is 9867. </... |
<s>[INST] Using the four numbers 1, 5, 6, and 9 once, find the second smallest two-digit number when the hundredth number is 5. [/INST] To find the second smallest two-digit number with the hundredth number being 5, we need to create two-digit numbers using the digits 1, 5, 6, and 9, with 5 being the tens place.
Since... |
<s>[INST] B minus A equals 211.5. Multiplying the decimal number A by 10 equals B. Calculate A, including the decimal point. [/INST] Let's denote A as the decimal number and B as the result of multiplying A by 10.
From the given information, we have two equations:
1) B - A = 211.5
2) B = 10A
We can substitute the se... |
<s>[INST] Seokjin drank 11/10 liters (l) of milk, and Jungkook drank 1.3 liters (l). When Yoongi drank 7/6 liters (l), who drank the least amount of milk? [/INST] To determine who drank the least amount of milk, we need to compare the amounts in the same units. Seokjin drank 11/10 liters, Jungkook drank 1.3 liters, and... |
<s>[INST] I made a square with a long piece of string, and each side was 21 centimeters (cm). If you use this string to make the largest triangle among triangles with a length of the three sides equal, how many centimeters (cm) will each lengths of a side be? [/INST] To create the largest triangle with the string used ... |
<s>[INST] Divide 3 times a number by 5, subtract 220, multiply by 4, add 40, and you get 360. Find the number. [/INST] Let's call the number we are trying to find "x".
According to the problem, we first multiply x by 3, then divide by 5, subtract 220, multiply by 4, add 40, and the result is 360.
So, we can write the... |
<s>[INST] A number divided by 6 equals 1/10. Find the value of the number divided by 3/25. [/INST] Let's call the number we're trying to find "x".
According to the first part of the problem, x divided by 6 equals 1/10. We can write this as an equation:
x / 6 = 1/10
To find x, we multiply both sides of the equation b... |
<s>[INST] If there are 5 people A, B, C, D, and E, find the number of ways to select 3 representatives. [/INST] To find the number of ways to select 3 representatives out of 5 people (A, B, C, D, and E), we can use the combination formula, which is given by:
C(n, k) = n! / [k! * (n - k)!]
where n is the total number ... |
<s>[INST] Bitna Elementary School decided to hand out 11 pencils to all students. If Bitna Elementary School purchased 10395 pencils and distributed them to students, how many students would there be in Bitna Elementary School? [/INST] To find out how many students there are in Bitna Elementary School, we need to divid... |
<s>[INST] While running, Yoongi was in 7th place and passed 4 others students. When 9 students are running in total , how many students are behind Yoongi? [/INST] If Yoongi was in 7th place and passed 4 other students, he would then be in 3rd place (since 7 - 4 = 3).
If there are 9 students running in total and Yoong... |
<s>[INST] How many numbers are greater than or equal to 0.4 out of 0.8 and 1/2? [/INST] To compare the numbers, we need to make sure they are in the same format. We can convert 1/2 to a decimal to compare it with 0.8 and 0.4.
1/2 as a decimal is 0.5.
Now we have three numbers: 0.8, 0.5, and 0.4.
Both 0.8 and 0.5 are... |
<s>[INST] Find the greatest divisor of 28. [/INST] The greatest divisor of any number is the number itself. Therefore, the greatest divisor of 28 is 28. </s> |
<s>[INST] A box with 16 basketballs of the same weight weighs 17.88 kilograms (kg). Consider that the empty box weighs 0.6 kilograms (kg), find out how much 7 basketballs weigh in kilograms (kg). [/INST] First, let's find the total weight of the 16 basketballs without the box. We do this by subtracting the weight of th... |
<s>[INST] There are wicks that are 25 centimeters (cm) long. If you light this wick, it is said to burn 1.75 centimeters (cm) in 10 seconds. How many seconds after lighting will the wick be 11 centimeters (cm) long? [/INST] To find out how many seconds it will take for the wick to be 11 centimeters long, we first need ... |
<s>[INST] The perimeter of one side of the cube is 24 centimeters (cm). What is the surface area of this cube in square centimeters? [/INST] If the perimeter of one side of the cube is 24 cm, we can find the length of one edge of the cube by dividing the perimeter by 4 (since a square has 4 equal sides).
24 cm ÷ 4 = 6... |
<s>[INST] The distance from Hyoseong's house to Mimi's house is 2.5 kilometers. The two started at the same time from their respective homes and walked towards each other at a steady pace. If Hyosung walks at 0.08 kilometers (km) per minute and Mimi walks at 2.4 kilometers (km) per hour, how many kilometers (km) is the... |
<s>[INST] Keun-bae decided to jump rope 15 times on the first day, twice the first day on the second day, and twice the second day on the third day. If Keun-bae jumps rope in the same pattern, how many times will he have to do on the fourth day? [/INST] Keun-bae starts by jumping rope 15 times on the first day.
On the... |
<s>[INST] Subtracting 29 from a number gives you 63. What is the number obtained when 47 is subtracted from the number? [/INST] Let's call the unknown number "x".
According to the first statement, subtracting 29 from x gives you 63:
x - 29 = 63
To find x, we add 29 to both sides of the equation:
x = 63 + 29
x = 92
N... |
<s>[INST] How many balls are left when Jungkook removes 3 balls from a box containing 10 balls? [/INST] When Jungkook removes 3 balls from a box containing 10 balls, there are 10 - 3 = 7 balls left. </s> |
<s>[INST] How many of 0.8, 1/2, and 0.9 are less than 0.4? [/INST] None of the numbers 0.8, 1/2 (which is 0.5), and 0.9 are less than 0.4. All of them are greater than 0.4. </s> |
<s>[INST] There is a rectangle with a length of 10 centimeters (cm) and a width of 8 centimeters (cm). We want to draw a square with the same perimeter as this rectangle. How many centimeters (cm) should be the length of one side of the square? [/INST] To find the perimeter of the rectangle, we add the lengths of all f... |
<s>[INST] I'm going to give 7 scissors to Yoongi and Hoseok. Yoongi and Hoseok take at least one pair of scissors. How many ways are there to distribute scissors? [/INST] To distribute 7 scissors to Yoongi and Hoseok such that each of them gets at least one pair, we can use the concept of distributing indistinguishable... |
<s>[INST] Suhyeon's one step is 0.75 meters (m). If it takes Suhyeon 70 steps to go to the convenience store from home, find the total distance in meters (m) Suhyeon walked when she went to the convenience store 13 times. [/INST] First, we need to calculate the distance Suhyeon walks to the convenience store in one tri... |
<s>[INST] Mincheol, Taehoon, and Chaejeong are standing in a row. When Taehoon is behind Mincheol and in front of Chaejeong, who is the student standing at the very back? [/INST] Chaejeong is the student standing at the very back. </s> |
<s>[INST] When you divide a number by 5, you get 2. What do you get if you subtract 6 from this number? [/INST] Let's call the number you're looking for "x". According to the information given:
x / 5 = 2
To find x, you multiply both sides of the equation by 5:
x = 2 * 5
x = 10
Now, if you subtract 6 from this numbe... |
<s>[INST] Eunji's math score is 25 points lower than Yoongi's, and Yuna's math score is 20 points lower than Eunji's. If Yuna's math score is 8, what score did Yoongi get? [/INST] If Yuna's math score is 8 and her score is 20 points lower than Eunji's, then Eunji's math score is:
8 + 20 = 28
Now, Eunji's math score i... |
<s>[INST] While Yoongi was adding 57 to the three-digit number, he mistook the three-digit units digit 9 for a 6. If the sum obtained by Yoongi is 823, what is the correct calculation result? [/INST] Let's denote the correct three-digit number as ABC, where A is the hundreds digit, B is the tens digit, and C is the uni... |
<s>[INST] Seongkuk's orchard picked 40680 tangerines from 60 tangerine trees, and Hyukjun's orchard picked 37510 tangerines from 55 tangerine trees. Whose orchard averaged more tangerines per tangerine tree? [/INST] To find out whose orchard averaged more tangerines per tangerine tree, we need to calculate the average ... |
<s>[INST] Gyeong-hun climbed the mountain, walking at 3 kilometers per hour (km) when going up, and walking at 4 kilometers (km) per hour when going down, taking a 2 kilometers (km) longer route when going down, for a total of 4 hours. How long distance did Gyeong-hun climb? [/INST] Let's denote the distance Gyeong-hun... |
<s>[INST] We are trying to make a two-digit number by using 2, 4, 7, and 9 once each. What is the third smallest two-digit number with 7 in the tens place? [/INST] To make a two-digit number with 7 in the tens place, we need to place one of the remaining digits (2, 4, or 9) in the ones place.
The possible two-digit nu... |
<s>[INST] Which one has the least number of faces among a triangular-prism, quadrangular-prism, triangular-pyramid, quadrangular-pyramid, and truncated-quadrangular-pyramid? [/INST] Let's count the number of faces for each shape:
1. Triangular prism: It has 2 triangular faces and 3 rectangular faces, totaling 5 faces.... |
<s>[INST] There are 5 numbers 1, 4, 25, 16 and 22. What is the 2nd largest number? [/INST] The second largest number among 1, 4, 25, 16, and 22 is 22. </s> |
<s>[INST] There are 120 liters (L) of water in the water tank. When you open the faucet in this water tank, 4 liters (L) of water flow out per minute. How many liters (L) of water are left in the water tank after 20 minutes you open the faucet? [/INST] If 4 liters of water flow out per minute, then in 20 minutes, the a... |
<s>[INST] A, B, and C are all different single-digit natural numbers. What is B that satisfies AB+CB=CC6? [/INST] Let's analyze the equation AB + CB = CC6 step by step.
Since A, B, and C are all different single-digit natural numbers, they can be any number from 1 to 9.
The equation can be rewritten as:
10A + B + 10... |
<s>[INST] How many faces does a cube-shaped gift box have? [/INST] A cube-shaped gift box has 6 faces. </s> |
<s>[INST] There are a total of 18 cucumbers, and the number of watermelons is 8 more than that of cucumbers. What is the total number of watermelons and cucumbers? [/INST] If the number of cucumbers is 18, and the number of watermelons is 8 more than the number of cucumbers, then the number of watermelons is:
18 (cucu... |
<s>[INST] I need to subtract 23 from a certain number, but I mistakenly took 32 away, so I got 25. Find the correctly calculated value. [/INST] If you mistakenly subtracted 32 instead of 23 from a certain number and got 25, we can first find the original number by adding 32 back to 25.
25 + 32 = 57
Now, to find the c... |
<s>[INST] You are trying to draw as many circles with a radius of 3 cm on a piece of paper that is 30 centimeters (cm) wide and 24 centimeters (cm) long, without overlapping them. How many circles can you draw? [/INST] To determine the number of circles with a radius of 3 cm that can be drawn on a piece of paper that i... |
<s>[INST] There are 445 yellow fish and 38 more blue fish than yellow fish. How many yellow and blue fish are there? [/INST] There are 445 yellow fish. Since there are 38 more blue fish than yellow fish, we can calculate the number of blue fish by adding 38 to the number of yellow fish.
Number of blue fish = Number of... |
<s>[INST] You have 2 purple candies, 1 white candy, and 1 red candy. If candies of the same color are indistinguishable from each other, how many different ways can you place 4 different candies in a row? [/INST] Since the candies of the same color are indistinguishable from each other, we have to consider the differen... |
<s>[INST] Find the perimeter in centimeters (cm) of a parallelogram with one side measuring 18 centimeters (cm) and the other side measuring 12 centimeters (cm). [/INST] The perimeter of a parallelogram is calculated by adding up the lengths of all its sides. Since opposite sides of a parallelogram are equal in length,... |
<s>[INST] How many edges are there on a face of an icosahedron? [/INST] An icosahedron is a polyhedron with 20 faces, each of which is an equilateral triangle. Therefore, each face of an icosahedron has 3 edges. </s> |
<s>[INST] You have a piece of wire that is 2 meters (m) 80 centimeters (cm) long. If you cut all the 40 centimeters (cm) lengths of this wire, how many cuts will you have to make? [/INST] First, we need to convert the total length of the wire into centimeters to make it easier to work with since the lengths we want to ... |
<s>[INST] Minha's hair grows at a rate of 0.39 millimeters (mm) per day. If Minha's hair was 32.8 centimeters (cm) today, find how many centimeters (cm) it will be in 30 days. [/INST] First, we need to convert the daily growth rate from millimeters to centimeters, since the length of Minha's hair is given in centimeter... |
<s>[INST] Find the number of faces of the regular octahedron. [/INST] A regular octahedron has 8 faces. Each face is an equilateral triangle, and the octahedron is one of the five Platonic solids. </s> |
<s>[INST] Find the sum of even numbers from 1 to 200. [/INST] To find the sum of even numbers from 1 to 200, we can use the formula for the sum of an arithmetic series. The formula is:
Sum = n/2 * (first term + last term)
where n is the number of terms.
First, we need to find the number of even terms between 1 and 2... |
<s>[INST] If the lengths of each diagonal of a rhombus are 14 centimeters (cm) and 24 centimeters (cm), what is the area of the rhombus? [/INST] The area of a rhombus can be calculated using the formula:
Area = (d1 * d2) / 2
where d1 and d2 are the lengths of the diagonals.
Given that the lengths of the diagonals ar... |
<s>[INST] As a second foreign language, Japanese, Chinese, and French can be selected. The number of Japanese selectors is three times the number of Chinese selectors, and the number of Chinese selectors is 15 more than the number of French selectors. When the number of all students is 165, find the number of Japanese ... |
<s>[INST] If you leave money with your mother, you get 300 won every day, and if you leave money with your father, you get 500 won every day. Kyu-won gave 8,000 won to her mother, and Seok-gi left 5,000 won to her father. If you want Kyu-won and Seok-gi to have the same amount of money when they each get their money ba... |
<s>[INST] If there is a pizza divided into 10 pieces, Minyoung and Yoojung plan to share it. If Minyoung eats 2 more pizzas than Yoojung, find how many slices of pizza Yoojung takes. [/INST] Let's denote the number of slices Yoojung eats as Y. Since Minyoung eats 2 more slices than Yoojung, Minyoung eats Y + 2 slices.
... |
<s>[INST] There are 6 boxes containing 3 red balls, 2 blue balls and 5 yellow balls. What is the total number of yellow balls? [/INST] If there are 5 yellow balls in each box and there are 6 boxes, then the total number of yellow balls is:
5 yellow balls/box * 6 boxes = 30 yellow balls
So, there are a total of 30 yel... |
<s>[INST] There is a three-digit number with 4 in the hundreds digit and 8 in the tens digit. The ones digit is called A, and any number from 0 to 9 can be used for A. What is the sum of the largest and smallest possible numbers? [/INST] The largest possible number with 4 in the hundreds digit and 8 in the tens digit w... |
<s>[INST] You would like to distribute 3 liters (L) of cooking oil to three people: A, B, and C. If you gives A 200 milliliters (㎖) more than B, and B 200 milliliters (㎖) more than C, how many milliliters (㎖) of cooking oil should be given to B? [/INST] Let's denote the amount of cooking oil given to C as x milliliters... |
<s>[INST] Minhyung's father walks 3.8 kilometers (km) an hour. How many kilometers (km) did Minhyeong's father walk for 2 hours and 45 minutes at a constant pace? [/INST] To find out how many kilometers Minhyung's father walked, we need to calculate the total time he walked in hours and then multiply it by his walking ... |
<s>[INST] There is a rhombus with an area of 64/5 square centimeters (cm2). If one diagonal is 64/9 centimeters (cm), how long is the other diagonal in cm (cm)? [/INST] The area of a rhombus can be calculated using the formula:
Area = (Diagonal1 * Diagonal2) / 2
We are given the area of the rhombus as 64/5 cm² and on... |
<s>[INST] One mobile is made with 4 meters (m) of wire. How many mobiles of the same size can be made with 105.8 meters (m) of wire? [/INST] To find out how many mobiles can be made with 105.8 meters of wire, you need to divide the total length of wire available by the length of wire required for one mobile.
Total len... |
<s>[INST] There were 35 people on the bus. At this stop, 18 people got off and 15 got on. How many fewer people are on the bus now than at the beginning? [/INST] At the beginning, there were 35 people on the bus.
After 18 people got off, there were 35 - 18 = 17 people left on the bus.
Then, 15 people got on, so ther... |
<s>[INST] The name tag of Hanuel's elementary school is in a square with one side measuring 11 centimeters (cm). What is the area of one name tag? [/INST] The area of a square can be calculated using the formula:
Area = side × side
Given that one side of the square measures 11 cm, the area of Hanuel's name tag would ... |
<s>[INST] 60 centimeters (cm) long wire was used to make a square with a side of 9 centimeters (cm). How many centimeters (cm) is the length of the remaining wire? [/INST] To find the length of the remaining wire, we first need to calculate the total length of wire used to make the square.
A square has four equal side... |
<s>[INST] 159 is a number you can get when you subtract 45 from a number multiplied by 3. Find the value of adding 32 to this number and multiplying it by 12. [/INST] Let's call the unknown number "x". According to the information given:
3x - 45 = 159
First, we need to find the value of x:
3x = 159 + 45
3x = 204
N... |
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