texte stringlengths 80 3.78k |
|---|
<s>[INST] If A+10=15, what number should be A? [/INST] To find the value of A, we need to isolate A on one side of the equation. We can do this by subtracting 10 from both sides of the equation:
A + 10 - 10 = 15 - 10
This simplifies to:
A = 5
So, the number that should be A is 5. </s> |
<s>[INST] If you use the number cards 1, 3, 5, and 6 once each to make a four-digit number, how many numbers divided by 4 have a remainder of 0? [/INST] To determine how many four-digit numbers can be formed using the digits 1, 3, 5, and 6 that are divisible by 4 with a remainder of 0, we need to understand the divisib... |
<s>[INST] If the perimeter of a rectangle whose length is 3 centimeters (cm) shorter than its width is 54 centimeters (cm), find its width. [/INST] Let's denote the width of the rectangle as \( w \) cm. According to the problem, the length of the rectangle is \( w - 3 \) cm.
The perimeter of a rectangle is calculated ... |
<s>[INST] Find the number of ways in which 5 of the 8 students on the playground are picked and placed in order. [/INST] To find the number of ways in which 5 of the 8 students on the playground can be picked and placed in order, we use the formula for permutations of n objects taken r at a time, which is:
P(n, r) = n... |
<s>[INST] You have a box in the shape of a regular dodecahedron. How many vertices does this box have? [/INST] A regular dodecahedron is a three-dimensional shape that has 12 faces, with each face being a regular pentagon. A regular dodecahedron has 20 vertices. </s> |
<s>[INST] Namjoon has 3 trucks and Taehyung has 2 trucks. How many trucks do Namjoon and Taehyung have? [/INST] Namjoon has 3 trucks and Taehyung has 2 trucks. Together, they have 3 + 2 = 5 trucks. </s> |
<s>[INST] I mistakenly subtracted a number that should be multiplied by 423, and I got 421. Find the value of subtracting 500 from the sum of the correctly calculated and incorrectly calculated values. [/INST] Let's call the number that should have been multiplied by 423 as "x".
The incorrect calculation was a subtrac... |
<s>[INST] Taehyung jumped rope 56 times a day for 3 days and Namjoon did 35 times a day for 4 days. How many times did Taehyung and Namjoon jump rope? [/INST] To find out how many times Taehyung and Namjoon jumped rope, we need to multiply the number of times they jumped each day by the number of days they did it and t... |
<s>[INST] There are 56 tulips. Red tulips are 3/7 of the total. Blue tulips are 3/8 of the total. If the rest are pink tulips, how many pink tulips are there? [/INST] First, let's find out how many red tulips there are. Since red tulips are 3/7 of the total, we can calculate the number of red tulips by multiplying the ... |
<s>[INST] Hajin wants to find the password of a lock. The password is set with one of the three numbers: 1, 7, 4, with the tens digit of 3. When password has all different numbers, find the sum of the largest and the third largest three-digit number that can be a password. [/INST] To find the password, we need to consi... |
<s>[INST] There is a mirror in the shape of a regular triangle with a side length of 50 centimeters (cm). If you want to place the lights around the perimeter of this mirror with 10 centimeters (cm) of intervals, how many lights do you need? [/INST] To determine the number of lights needed, we first need to calculate t... |
<s>[INST] Find the sum of the lengths of the four sides of a square whose side is 13 centimeters (cm). [/INST] The perimeter of a square is calculated by adding the lengths of all four sides. Since all sides of a square are equal in length, the perimeter (P) can be calculated by multiplying the length of one side (s) b... |
<s>[INST] Students who like society are 25 students in class (A). 32 students voted to like music, and 27 students voted to both social studies and music. If every student voted for one or the other, how many students are in class (A)? [/INST] Let's denote the total number of students in class (A) as \( S \).
We know ... |
<s>[INST] On the day of the soccer match, 12 bottles of water and 34 bottles of soda were given to the players. After the soccer game, I counted all the remaining water and drinks and it was 30 bottles. The number of bottles of drink consumed by the players is three times the number of bottles of water consumed by the ... |
<s>[INST] What is the surface area, in square centimeters (cm2), of a cube with one edge 7 centimeters (cm) long? [/INST] The surface area of a cube is calculated by finding the area of one face and then multiplying it by 6, since a cube has 6 identical faces.
The area of one face of a cube is found by squaring the le... |
<s>[INST] The multiples of 3 less than 100 are written in order from smallest to biggest. Find the product of the numbers between the 21st and 24th numbers from the left. [/INST] To find the product of the numbers between the 21st and 24th multiples of 3 less than 100, we first need to identify these numbers.
The nth ... |
<s>[INST] Seokgi went hiking with his father. It is 4 kilometers (km) and 436 meters (m) from the entrance of the mountain to the temple, and 1999 meters (m) from the temple to the top of the mountain. If Seokgi went up starting from the entrance of the mountain through the temple and to the top of the mountain, and th... |
<s>[INST] Taeyeon's height is 1.06 times that of Sunghee's. When Seonghee measured her height, it was 134.5 centimeters (cm). At this time, find out how tall Taeyeon is in centimeters (cm). [/INST] To find out Taeyeon's height, we need to multiply Seonghee's height by 1.06 since Taeyeon's height is 1.06 times that of S... |
<s>[INST] Eunji is 25 years younger than her uncle and Yuna is 3 years older than Eunji. If her uncle is 41 years old, what is the sum of Eunji's and Yuna's ages? [/INST] If Eunji's uncle is 41 years old and Eunji is 25 years younger than her uncle, then Eunji's age is:
41 years (uncle's age) - 25 years = 16 years (Eu... |
<s>[INST] Tigers are said to run 3.8 kilometers (km) per hour. How many kilometers (km) could the tiger run without stopping in 2 hours and 45 minutes? [/INST] To calculate the distance a tiger could run without stopping in 2 hours and 45 minutes, we first need to convert the time into hours since the speed is given in... |
<s>[INST] How many three-digit numbers are less than 306 and greater than or equal to 300? [/INST] To find the three-digit numbers that are less than 306 and greater than or equal to 300, we simply list them out:
300, 301, 302, 303, 304, 305
There are 6 three-digit numbers that satisfy the given conditions. </s> |
<s>[INST] There is a number that is a multiple of 5 when subtracted by 3, a multiple of 7 when subtracted by 2. If a number is greater than 50 and less than 70, what is this number? [/INST] Let's denote the number we are looking for as \( N \).
According to the problem, \( N - 3 \) is a multiple of 5, and \( N - 2 \) ... |
<s>[INST] If the son's age is 1 year less than 1/4 of the father's age and the father's age is 5 years less than 5 times the son's age, how old is the son? [/INST] Let's denote the son's age as S and the father's age as F.
According to the first statement, the son's age is 1 year less than 1/4 of the father's age. Thi... |
<s>[INST] Yuna, Eunji, Minyoung, and Yoojung are having a flying contest. Minyoung flew farther than Eunji, Eunji flew farther than Yoojung, and Yuna flew farther than Yoojung. When Minyoung flew farther than Yoojung, who was the bottom person in the competition? [/INST] Based on the information provided:
- Minyoung f... |
<s>[INST] There is one black go stone and two white go stones. How many ways are there to place 3 go stones in a row? [/INST] To determine the number of ways to place 3 Go stones in a row, we need to consider the different permutations of the stones. Since we have 1 black stone (B) and 2 white stones (W1, W2), we can t... |
<s>[INST] There is a pillar with a base in the shape of a equilateral triangle. If a 78 centimeters (cm) long string is wrapped around this pillar and there is neither shortage nor excess string, how many centimeters (cm) is one side of the base of this pillar? [/INST] If the string is wrapped around the pillar with no... |
<s>[INST] There is a triangle whose base is 3.6 and whose height is 2.5 times the base. Find the area of the triangle. [/INST] To find the area of a triangle, you can use the formula:
Area = (base * height) / 2
First, we need to find the height of the triangle. Since the height is 2.5 times the base, we can calculate... |
<s>[INST] When Beomjin wants to put two math books and two English books on the bookshelf, in how many ways can the math books be placed together? [/INST] To solve this problem, we can treat the two math books as a single unit since they need to be placed together. We then have three units to arrange on the shelf: the ... |
<s>[INST] How many of the three-digit number can be formed from four natural numbers 2, 4, 6, and 8 using only 3 numbers? [/INST] To form a three-digit number using only three of the four given numbers (2, 4, 6, and 8), we can proceed as follows:
1. Choose the first digit: Since we are forming a three-digit number, th... |
<s>[INST] There are four numbers 53, 98, 69, and 84. What is the value of the largest number minus the smallest number? [/INST] The largest number among the given numbers is 98, and the smallest number is 53.
To find the value of the largest number minus the smallest number, we subtract 53 from 98:
98 - 53 = 45
Ther... |
<s>[INST] Hanbyul and Seulgi ran. During the same time, Hanbyul ran 1/100 of 10.2 kilometers (km), and Seulgi ran 100 meters (m). Who ran more? [/INST] First, let's convert Hanbyul's distance into meters since Seulgi's distance is already given in meters.
1 kilometer is equal to 1000 meters.
Hanbyul ran 1/100 of 10... |
<s>[INST] In the math test, Jimin ranked 24th, and Seokjin ranked 19 ranks ahead of Jimin. What is Seokjin's rank? [/INST] If Seokjin ranked 19 ranks ahead of Jimin, and Jimin ranked 24th, then we subtract 19 from 24 to find Seokjin's rank.
24 - 19 = 5
So, Seokjin's rank is 5th. </s> |
<s>[INST] The average height of the three people, A, B, and C is 143 centimeters (cm). If A's height is increased by 4.5 centimeters (cm), it becomes the average height of B and C. If B is 3 centimeters (cm) taller than C, how tall is C in centimeters (cm)? [/INST] Let's denote the heights of A, B, and C as \( h_A \), ... |
<s>[INST] If there are 41 students in Seonghoe's class, and there are 3 more students walking to school than those using public transportation, find out how many students walk to school. [/INST] Let's denote the number of students who walk to school as W and the number of students who use public transportation as P. Ac... |
<s>[INST] There are 36 colored pencils. The number of red colored pencils is 5/9 of the total. The number of blue colored pencils is 5/12 of the total. How many more red colored pencils are there than the blue colored pencils? [/INST] First, let's find out how many red colored pencils there are. Since the number of red... |
<s>[INST] How many flowers are needed to plant flowers from start to finish on both sides of a 100 meter (m) field at 10 meter (m) intervals? [/INST] To determine the number of flowers needed, we first need to calculate how many intervals of 10 meters there are in a 100-meter field.
Since the field is 100 meters long,... |
<s>[INST] If 31 is 13 less than a certain number, find a number that is 11 greater than this certain number. [/INST] Let's call the certain number "x". According to the information given, 31 is 13 less than x. So we can write the equation:
x - 13 = 31
Now, we need to solve for x:
x = 31 + 13
x = 44
Now that we have... |
<s>[INST] 18 is the result of multiplying a number by 2. What do you get when you subtract 4 from this number? [/INST] If 18 is the result of multiplying a number by 2, then the original number is 18 divided by 2, which is 9.
If you subtract 4 from this number (9), you get 9 - 4 = 5. </s> |
<s>[INST] Find the number between 5 and 9 that is greater than 7. [/INST] The number between 5 and 9 that is greater than 7 is 8. </s> |
<s>[INST] Jimin has 5 100-won coins and 1 50-won coin, and Seokjin has 2 100-won coins and 7 10-won coins. Find out the sum of the money they both have. [/INST] To find the sum of the money Jimin and Seokjin have, we need to calculate the total amount of money each of them has and then add those amounts together.
Jimi... |
<s>[INST] Return the sum of the largest and smallest numbers among 0.11, 0.98, 3/4, and 2/3. [/INST] First, let's convert the fractions to decimal form to make it easier to compare all the numbers:
3/4 = 0.75
2/3 ≈ 0.6667 (rounded to four decimal places)
Now we have the numbers in decimal form:
0.11, 0.98, 0.75, and ... |
<s>[INST] Hyogeun, Seokgi, and Gayeong weigh 106 kilograms (kg) and 600 grams (g). Gayeong is 7 kg (kg) 700 grams (g) lighter than Seokgi, and Seokgi is 4.8 kg (kg) lighter than Hyogeun. How many kilograms (kg) does Hyogeun weigh? [/INST] Let's denote the weights of Hyogeun, Seokgi, and Gayeong as H, S, and G respectiv... |
<s>[INST] What is the area in square centimeters (cm2) of the wall that can be covered by 3.2 square tiles with a side length of 8.5 centimeters (cm)? [/INST] First, we need to calculate the area of one tile. Since the tiles are square, we can find the area by squaring the side length:
Area of one tile = side length ×... |
<s>[INST] Jimin, Jungkook, and Taehyung had a running competition, and as a result, Jimin came in 6th place and Jungkook came in 8th place. Taehyung did better than Jungkook but not when compared with Jimin. What is Taehyung's rank? [/INST] If Taehyung did better than Jungkook, who came in 8th place, but not as well as... |
<s>[INST] Jungkook ate 3 out of 6 apples. If Yoongi has 4 apples and Yuna has 5 apples, whose apples are the fewest? [/INST] Jungkook has the fewest apples because he has 3 apples left after eating 3 out of 6. Yoongi has 4 apples and Yuna has 5 apples, which are both more than Jungkook's remaining 3 apples. </s> |
<s>[INST] A and B are single-digit numbers. What is the sum of the number of all A's and the number of all B's such that 3/12<A/12<7/12 and 1/10<1/B<1/3? [/INST] Let's solve each inequality step by step.
For the first inequality:
\[ \frac{3}{12} < \frac{A}{12} < \frac{7}{12} \]
Since all terms are divided by 12, we c... |
<s>[INST] The number of 19 groups of 10 and 55 groups of 100 is called A, and 173 plus 224 five times is B. How much is A-B? [/INST] First, let's calculate A:
A = (19 groups of 10) + (55 groups of 100)
A = (19 * 10) + (55 * 100)
A = 190 + 5500
A = 5690
Now, let's calculate B:
B = 173 + (224 * 5)
B = 173 + 1120
B = 1... |
<s>[INST] When we subtract 32 from a number divided by 12, multiply it by 3, and then subtract 45 again, it becomes 159. Find this number. [/INST] Let's call the number we are trying to find "x". According to the problem, when we subtract 32 from x divided by 12, multiply it by 3, and then subtract 45, the result is 1... |
<s>[INST] Yoongi bought a 250 won candy at the mart and received 500 won as pocket money. After that, he spent half of my money on a pencil, and he had 420 won left. How much money did Yoongi have at first? [/INST] Let's break down the transactions step by step to find out how much money Yoongi had at first.
1. Yoongi... |
<s>[INST] The number 397 less than B is A, and A is 742. If B equals C plus 693, find the A minus C. [/INST] Given that A is 397 less than B, we can write the equation:
A = B - 397
We are told that A is 742, so we can substitute A with 742 in the equation:
742 = B - 397
Now, we can solve for B:
B = 742 + 397
B = 1... |
<s>[INST] The 3/10 of a number is 12. Find what 1/5 of that number is. [/INST] To find the original number, we can set up an equation using the information given:
(3/10) * number = 12
Now, we can solve for the number:
number = 12 / (3/10)
number = 12 * (10/3)
number = 120/3
number = 40
Now that we have the original... |
<s>[INST] 282 is 133 greater than this number. What is the value if 11 is subtracted from this number? [/INST] Let's call the unknown number "x". According to the information given:
282 is 133 greater than x, so we can write the equation:
282 = x + 133
To find the value of x, we subtract 133 from both sides of the eq... |
<s>[INST] Hyeonjeong's farm has 100 cows. If the milk produced by Hyeonjeong's farm for 10 days is 2804 liters (L), find the amount of milk produced per day by the cows at Hyeonjeong's farm. [/INST] To find the amount of milk produced per day by the cows at Hyeonjeong's farm, we need to divide the total amount of milk ... |
<s>[INST] When 6A5+B03=748 is valid, find B. [/INST] To find the value of B, we need to solve the equation 6A5 + B03 = 748. Since we are dealing with a three-digit number, we can break down the equation into individual digits:
Hundreds place: 6A + B = 7 (since there are no hundreds in 748)
Tens place: 0 (since there a... |
<s>[INST] There are 3 blue balls and 5 red balls in the box. When 2 red balls are put in, how many red balls are there in the box? [/INST] Initially, there are 5 red balls in the box. When 2 more red balls are added, the total number of red balls becomes:
5 (initial red balls) + 2 (added red balls) = 7 red balls
So, ... |
<s>[INST] The distance between Hyosung and Mimi's house is 2.5 kilometers (km). Hyoseong and Mimi promised to meet, started from their respective homes at the same time, and walked toward each other's homes at a certain speed. If Mimi walks 2.4 kilometers (km) an hour and Hyosung walks 0.08 kilometers (km) a minute, wh... |
<s>[INST] There were 45 chickens on the farm. If you bought 18 more chickens on day 1 and 12 more chickens on day 2, how many more chickens increased? [/INST] On day 1, you bought 18 more chickens, and on day 2, you bought 12 more chickens. To find the total increase in the number of chickens, you add the number of chi... |
<s>[INST] In art class, Miyoung is going to cut a rectangular colored paper measuring 32 centimeters (cm) wide by 74 centimeters (cm) long to make several identical squares without any left over. What is the size of one side of the largest square that Miyoung can make? [/INST] To find the size of the largest square Miy... |
<s>[INST] There are 24 vehicles. The red cars take up a quarter of the total, blue cars outnumber red cars by six, and yellow cars take up the rest. What color of the cars do you have the most? [/INST] Let's calculate the number of cars of each color.
If red cars take up a quarter of the total, then there are:
24 vehi... |
<s>[INST] The area of a rhombus is 80 square centimeters (cm2), and the length of one diagonal of the rhombus is 16 centimeters (cm). the length of the other diagonal in centimeters (cm). [/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 di... |
<s>[INST] I'm going to connect 20 tape measurements that are 15.25 centimeters (cm) long. How many centimeters (cm) each should the tape be superimposed to make the total length of the attached tape measure 248 centimeters (cm)? [/INST] Let's denote the length of the overlap for each tape measure as \( x \) centimeters... |
<s>[INST] Using the number cards 1, 6, and 8 all once, find the largest three-digit number plus the third smallest three-digit number. [/INST] To find the largest three-digit number using the digits 1, 6, and 8, we should place the largest digit in the hundreds place, the second largest in the tens place, and the small... |
<s>[INST] You are going to cut the ribbon in 0.82 meter (m) to make ribbon loops. Find how many loops can be made with 5.74 meters (m) of ribbon. [/INST] To find out how many loops can be made with 5.74 meters of ribbon, you need to divide the total length of the ribbon by the length of each loop.
Total length of ribb... |
<s>[INST] Yoongi wants to subtract 57 from a four-digit number. Yoongi misspelled 9 as a 6 in the unit digit of a four-digit number. When the difference obtained by Yoongi is 1819, find a four-digit number. [/INST] Let's denote the correct four-digit number as ABCD, where A, B, C, and D represent the thousands, hundred... |
<s>[INST] A bucket was completed with 1100 milliliters (ml) of water, followed by an additional 3 liters (L) and 400 milliliters (ml) of water. While a kettle holds a capacity of 4 liters (L) and 800 milliliters (ml), which one has a large capacity: a bucket or a kettle? [/INST] First, let's convert all measurements to... |
<s>[INST] Yoongi collected 7 points, Jungkook got 6 points, Yuna got 9 points, and Yoojung got 8 points. Who has the largest number? [/INST] Yuna has the largest number of points with 9 points. </s> |
<s>[INST] When 11 is divided by the natural number A, the remainder is 2 and the quotient is 3. Find the value of A at this time. [/INST] To find the value of A, we can use the formula for division:
Dividend = (Divisor × Quotient) + Remainder
In this case, the dividend is 11, the quotient is 3, and the remainder is 2... |
<s>[INST] Minjae and his father picked apples. Minjae gained 2.6 kilograms (kg), and his father 5.98 kilograms (kg). How many kilograms (kg) are all the apples Minjae and his father picked? [/INST] To find the total weight of the apples Minjae and his father picked, you simply need to add the weight of the apples Minja... |
<s>[INST] You are given three numbers 6, 0 and 3. How many two-digit numbers can be made using given numbers once? [/INST] To form a two-digit number, we need to select one digit for the tens place and one digit for the units place. Since a two-digit number cannot start with zero, we have only two choices for the tens ... |
<s>[INST] When you add 3 to a certain number, you get 226. Find the value of the certain number multiplied by 3. [/INST] Let's call the certain number "x". According to the information given:
x + 3 = 226
To find the value of x, we subtract 3 from both sides of the equation:
x = 226 - 3
x = 223
Now, to find the valu... |
<s>[INST] When A is divided by 8, the quotient is B and the remainder is C. A, B, and C are natural numbers. In this, the quotient and remainder are equal. Find the largest number of A which is a divided number. [/INST] Given that the quotient B and the remainder C are equal when A is divided by 8, we can write the div... |
<s>[INST] There are magnets with numbers 8, 7 and 0 written respectively. What is the largest number you can make by arranging them? [/INST] The largest number you can make by arranging the magnets with numbers 8, 7, and 0 is 870. </s> |
<s>[INST] I am trying to create two-digit natural numbers with 2, 3, and 7. Find the third largest possible number that can be made by allowing duplicates. [/INST] To create two-digit natural numbers using the digits 2, 3, and 7, we can form the following numbers by allowing duplicates:
22, 23, 27, 32, 33, 37, 72, 73,... |
<s>[INST] There is a cargo of 127000 kilograms (kg). How many more trucks are needed to transport this cargo from Busan to Seoul by 5000 kilograms (kg) trucks than by 8000 kilograms (kg) trucks? [/INST] First, let's calculate how many trucks would be needed for each type of truck:
For 5000 kg trucks:
127000 kg / 5000 ... |
<s>[INST] There are 2 balls in each of the 3 boxes that Jungkook has. How many balls does Jungkook have? [/INST] Jungkook has 3 boxes, and each box contains 2 balls. To find the total number of balls, you multiply the number of boxes by the number of balls in each box:
3 boxes * 2 balls/box = 6 balls
Jungkook has 6 b... |
<s>[INST] There are 11 white rabbits and 13 black rabbits. How many female rabbits are there if 15 of them are male rabbits? [/INST] To find out the number of female rabbits, we first need to determine the total number of rabbits.
There are 11 white rabbits and 13 black rabbits, so the total number of rabbits is:
11... |
<s>[INST] The three-digit number A3B is greater than 300 and less than 400. Also, it is divisible by 3 and a multiple of 7. What is B? [/INST] To find the value of B, we need to find a three-digit number A3B that is between 300 and 400, divisible by 3, and a multiple of 7.
Since the number is between 300 and 400, A mu... |
<s>[INST] Five sheets of 2.7meters (m) long color tape were attached together overlapping each other by 0.3meters (m). How many meters (m) is the length of one layer of colored tape if it is divided equally into 6 layers? [/INST] To find the total length of the tape when the five sheets are attached with an overlap of ... |
<s>[INST] What is the largest five-digit number that is a multiple of 3 and a multiple of 4? [/INST] To find the largest five-digit number that is a multiple of both 3 and 4, we need to find the least common multiple (LCM) of 3 and 4, and then find the largest five-digit number that is a multiple of that LCM.
The LCM ... |
<s>[INST] The taxi driven by Boeun's father travels 100 kilometers (km) in 1 hour and 15 minutes. What is the average distance the taxi traveled in 1 hour in kilometers (km)? [/INST] To find the average distance the taxi traveled in 1 hour, we need to calculate the distance it would cover in that time based on the dist... |
<s>[INST] Find a number less than 1.11 among five numbers 4, 9/10, 1.2, 0.5, and 13/10, and then find the largest among them. [/INST] To find a number less than 1.11 among the given numbers, we need to compare each number to 1.11.
The numbers given are:
1. 4
2. 9/10
3. 1.2
4. 0.5
5. 13/10
Let's convert the fractions ... |
<s>[INST] There are 15 red apples, 8 green apples, and 32 pears. How many more pears are there than apples? [/INST] To find out how many more pears there are than apples, we first need to find the total number of apples.
There are 15 red apples and 8 green apples, so the total number of apples is:
15 red apples + 8 ... |
<s>[INST] If there are 6 cats A, B, C, D, E, and F, find the number of ways to select 2 vice captains and 1 captain. [/INST] To select 2 vice captains and 1 captain from 6 cats, we can approach the problem in two steps:
Step 1: Select the captain.
There are 6 cats to choose from for the captain position. So, there are... |
<s>[INST] There is a box 9 centimeters (cm) wide, 4 centimeters (cm) long, and 7 centimeters (cm) high. What is the volume of this box in cubic centimeters (cm3)? [/INST] The volume of a box (rectangular prism) can be calculated by multiplying its width, length, and height together.
Volume = Width × Length × Height
... |
<s>[INST] There is a barrel with 10.4 kilograms (kg) of water. If you want to divide this water by 0.8 kg (kg) into each small bucket, how many buckets are needed? [/INST] To find out how many buckets are needed, you divide the total amount of water by the amount of water each bucket can hold.
Total amount of water = ... |
<s>[INST] There are 14 boxes containing 105 apples each. 84 of these apples were rotten and discarded, and the rest were put in 6 per bag and 7 bags per box. Find how many boxes there are in total. [/INST] First, let's find out the total number of apples before any were discarded:
14 boxes * 105 apples/box = 1470 appl... |
<s>[INST] There are boxes A, B, C, and D with different weights. Box B is heavier than Box C, and Box A is lighter than Box C. If box D is heavier than B, which box is the heaviest? [/INST] Box D is the heaviest because it is heavier than Box B, which is heavier than Box C, and Box A is lighter than Box C. Therefore, t... |
<s>[INST] When 52.5 kg (kg) of sweet potatoes are divided by 5 kg (kg) per person, find how many kg (kg) of sweet potatoes are left after sharing. [/INST] To find out how many kg of sweet potatoes are left after sharing, we first need to divide the total amount of sweet potatoes by the amount each person receives.
To... |
<s>[INST] The number of students in Seungju's class is between 50 and 70. If the students in Seungju's class form 5 lines, there will be 3 left, and if they form 7 lines, 2 will remain. How many students are in Seungju's class? [/INST] Let's denote the number of students in Seungju's class as \( n \).
According to the... |
<s>[INST] When you divide a certain number by 4 and add 3, you get 5. Find that number. [/INST] Let's call the certain number "x". According to the problem, when you divide x by 4 and add 3, you get 5. We can write this as an equation:
(x / 4) + 3 = 5
Now, we want to solve for x. First, we'll subtract 3 from both sid... |
<s>[INST] When Hoseok bought item (a) at the mart, he paid 7, 4, and 5 1,000 won, 100 won, and 10 won coins, respectively. What is the price of the item (a)? [/INST] To find the price of item (a), we need to calculate the total amount Hoseok paid using the coins.
He paid with:
- 7 coins of 1,000 won each
- 4 coins of... |
<s>[INST] While hiking, Yunsu drank 7/15 of the water on the first day, 5/8 of the remaining water on the second day, and 2/3 of the rest on the third day. If the amount of remaining water is 2.6 liters (L), what is the amount of water Yunsu had at the beginning? [/INST] Let's denote the initial amount of water Yunsu h... |
<s>[INST] It is said that Gyeonghun climbed the mountain at a speed of 3 kilometers (km) per hour when going up, and 4 kilometers (km) per hour when going down as he changed the route, which takes 2 kilometers (km) longer than the previous one. If he took a total of 4 hours for climbing, how long did it take to go up? ... |
<s>[INST] In the running competition, Namjoon placed second and Yoongi placed fourth. Hoseok was better than Yoongi, but worse than Namjoon. What is Hoseok's rank? [/INST] Hoseok's rank is third. He placed better than Yoongi, who was fourth, but worse than Namjoon, who was second. </s> |
<s>[INST] A, B, and C villages have vineyards. If B village harvested more bunches of grapes than A village and C village harvested fewer bunches than A village, find which village harvested the fewest bunches of grapes. [/INST] Based on the information provided:
- B village harvested more bunches of grapes than A vil... |
<s>[INST] If you throw a die of a regular dodecahedron with numbers from 1 to 12 written on each side, how many times will the number of dice roll be a multiple of 3? [/INST] When you roll a regular dodecahedron die with numbers from 1 to 12, each side has an equal chance of landing face up. To determine how many times... |
<s>[INST] How many four-digit numbers are multiples of 5, multiples of 6, and multiples of 2 at the same time? [/INST] To find four-digit numbers that are multiples of 5, 6, and 2 at the same time, we need to find the least common multiple (LCM) of these three numbers and then determine how many four-digit numbers are ... |
<s>[INST] How many balls are there if you have 3 boxes of 5 balls? [/INST] If you have 3 boxes and each box contains 5 balls, you can calculate the total number of balls by multiplying the number of boxes by the number of balls in each box:
3 boxes * 5 balls per box = 15 balls
So, there are a total of 15 balls. </s> |
<s>[INST] A hare and a tortoise are racing. A tortoise can cover 5 meters (m) in 3 minutes when a hare can get to 5 meters (m) in 2 minutes. If the hare starts running 20 meters (m) behind the tortoise, in how many minutes will the hare and the tortoise meet? [/INST] First, let's calculate the speed of the hare and the... |
<s>[INST] The lengths of the two diagonals of the rhombus are 6 centimeters (cm) and 4 centimeters (cm). Find the area in square centimeters (cm2) of the stretched rhombus when each of the two diagonals are tripled. [/INST] The area of a rhombus can be calculated using the formula:
Area = (d1 * d2) / 2
where d1 and d... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.