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<s>[INST] You want to drink 1 liter (L) of juice and 3 liters (L) of juice equally divided into cups of the same shape and size. If 1 liter (L) of juice is divided equally into 2 A cups and 3 liters (L) of juice is divided equally into 4 B cups, which cup has more juice, Cup A or Cup B? [/INST] Let's calculate the amou... |
<s>[INST] You had to multiply a number by 5 and then multiply by 10, but mistakenly multiplied 15 instead to get 45. Find the correctly calculated value. [/INST] Let's denote the original number as \( x \).
According to the mistake, you multiplied \( x \) by 15 to get 45:
\[ x \times 15 = 45 \]
To find the original n... |
<s>[INST] Among the students in Yuna's class, there are 28 students who like Korean, 27 students who like math, and 22 students who like both Korean and math. If there is no student who does not like both Korean and math, how many students are there in Yuna's class? [/INST] To find the total number of students in Yuna'... |
<s>[INST] There are 10.4 kilograms (kg) of flour in a large barrel. If you want to divide this flour into several bowls, how many bowls will you need to divide 0.8 kg (kg) into each bowl? [/INST] To find out how many bowls you will need to divide 10.4 kilograms of flour into 0.8-kilogram portions, you simply divide the... |
<s>[INST] How many of 0.8, 1/2, 0.9, and 1/3 are less than or equal to 0.4? [/INST] To determine how many of the given numbers are less than or equal to 0.4, we need to compare each number to 0.4.
0.8 is greater than 0.4.
1/2 (which is 0.5) is greater than 0.4.
0.9 is greater than 0.4.
1/3 (which is approximately 0.33... |
<s>[INST] When you divide a number by 4, you get 12. What is the result of dividing the number by 3? [/INST] If dividing a number by 4 gives you 12, then the original number is 4 times 12, which is 48.
Now, if you want to divide this number by 3, you take the original number, 48, and divide it by 3:
48 ÷ 3 = 16
So, ... |
<s>[INST] Find the smallest odd number between 2 and 7. [/INST] The smallest odd number between 2 and 7 is 3. </s> |
<s>[INST] When 12 is divided by A, the quotient is B and the remainder is C. A, B, and C are natural numbers. If the quotient and the remainder are equal, what is the largest possible A? [/INST] Let's denote A as the divisor, B as the quotient, and C as the remainder. According to the problem, B = C.
The division can ... |
<s>[INST] There are different digits A, B, C, and D. The sum of two-digit CD, three-digit ACD, and four-digit ABCD is 2967. Find A. [/INST] Let's denote the two-digit number CD as \(10C + D\), the three-digit number ACD as \(100A + 10C + D\), and the four-digit number ABCD as \(1000A + 100B + 10C + D\).
According to t... |
<s>[INST] You want to draw points at intervals of 5 centimeters (cm) on a line that is 30 centimeters (cm) long. How many times should a dot be drawn when there is no dot at the beginning and end of a line? [/INST] If you want to draw points at intervals of 5 cm on a 30 cm line without placing a dot at the beginning an... |
<s>[INST] There is a rectangular garden. The perimeter of this garden is 48 meters (m), and the length of the garden is 2 meters (m) added to its width. Find the width of the garden. [/INST] Let's denote the width of the garden as \( w \) meters. According to the problem, the length of the garden is \( w + 2 \) meters.... |
<s>[INST] If you multiply the width of a square by 0.8 and the length by 5 to create a new rectangle, its area increases by 15.18 square centimeters (cm2) than the area of the original square. What is the area of the first square in square centimeters (cm2)? [/INST] Let's denote the side of the original square as \( s ... |
<s>[INST] A is a single digit number. Find A when the multiplication expression AA×AA of two digit numbers is 5929. [/INST] To find the value of A, we need to determine which single-digit number, when multiplied by itself, results in a two-digit number that, when multiplied by itself again, gives us 5929.
Let's denote... |
<s>[INST] There are a total of 60 marbles in the bag. There are 32 black marbles, 10 red marbles, and 5 green marbles. If the marbles in the bag are black, red, green, and white, how many white marbles are there? [/INST] To find out how many white marbles there are, we need to subtract the total number of black, red, a... |
<s>[INST] Find the distance left after 2 hours of driving to an airport which is 300 kilometers (km) from home at 60 kilometers (km) per hour. [/INST] If you are driving to the airport at a constant speed of 60 kilometers per hour, then in 2 hours you would have covered:
2 hours * 60 kilometers/hour = 120 kilometers
... |
<s>[INST] How many three-digit numbers are there where each digit is odd? [/INST] To find the number of three-digit numbers where each digit is odd, we need to consider the number of odd digits available for each place value (hundreds, tens, and ones).
There are 5 odd digits: 1, 3, 5, 7, and 9.
For a three-digit numb... |
<s>[INST] The six-digit number A2468B is divisible by 55. How many possible numbers can be A2468B? [/INST] For a number to be divisible by 55, it must be divisible by both 5 and 11, since 55 is the product of these two prime numbers.
1. Divisibility by 5: For a number to be divisible by 5, its last digit must be eithe... |
<s>[INST] You want to create a number with two decimal places less than 6. How many can you make if you can only use 2, 4, 6 and the decimal point once? [/INST] To create a number with two decimal places less than 6 using the digits 2, 4, 6, and a decimal point, we need to place the decimal point after the first digit ... |
<s>[INST] A and B are single-digit numbers. A is 3 greater than 5, and B is 2 less than A. Find 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] Flowerpot A is 14th from the right, and flowerpot B is 29th from the left. If the total number of pots is 33, how many are there between A and B? [/INST] To find out how many flowerpots are between A and B, we need to determine the positions of A and B from one end of the line. Let's choose the left end for c... |
<s>[INST] Find the second smallest factor of 32. [/INST] The factors of 32 are the numbers that can be multiplied together to give the product of 32. The factors of 32 are: 1, 2, 4, 8, 16, and 32.
The smallest factor is 1, and the second smallest factor is 2. </s> |
<s>[INST] What is the length in centimeters (cm) of the radius of a circle whose diameter are 26 centimeters (cm)? [/INST] The radius of a circle is half the length of the diameter. If the diameter of the circle is 26 centimeters, then the radius would be:
Radius = Diameter / 2
Radius = 26 cm / 2
Radius = 13 cm
So, t... |
<s>[INST] Find the sixth smallest number among five digits that can be formed using 0, 4, 6, 7, and 8 only once. [/INST] To find the sixth smallest number using the digits 0, 4, 6, 7, and 8, we need to arrange the digits in ascending order and then find the combinations.
The smallest number we can form is by placing t... |
<s>[INST] You want to build an apartment complex on a rectangular piece of empty land that is 262 kilometers (km) wide and 185 km long, divided into squares. If one side of the apartment complex is 18 kilometers (km), find how many apartment complexes can be built. [/INST] To find out how many apartment complexes can b... |
<s>[INST] Find the average score of three subjects when Math is 100, and the average score of Korean and English is 88. [/INST] To find the average score of the three subjects, we first need to find the total score of Korean and English combined. Since the average score of Korean and English is 88, we can calculate the... |
<s>[INST] Hyunjin's school has 324 female students and 541 male students, and Seonju's school has 416 female students and 253 male students. Find whose school has more students. [/INST] To find out whose school has more students, we need to add the number of female and male students for each school.
For Hyunjin's scho... |
<s>[INST] This year Seokjin is 7 years old and Seokjin's mother is 33 years old. After 5 years, how many years is Seokjin's mother older than Seokjin? [/INST] Currently, Seokjin is 7 years old and his mother is 33 years old. The difference in their ages is 33 - 7 = 26 years.
After 5 years, Seokjin will be 7 + 5 = 12 y... |
<s>[INST] I bought 7 boxes of cucumbers, 16 in each box. Thirteen of them are rotten and discarded, and the remaining cucumbers are divided equally into 8 bags. How many cucumbers are left that didn't fit in the bag? [/INST] First, let's calculate the total number of cucumbers you bought:
7 boxes * 16 cucumbers/box = ... |
<s>[INST] What is the largest five-digit number that is a multiple of 2 and a multiple of 3 and a multiple of 8 and a multiple of 9? [/INST] To find the largest five-digit number that is a multiple of 2, 3, 8, and 9, we need to find the least common multiple (LCM) of these numbers and then find the largest five-digit n... |
<s>[INST] A total of 108 coins consists of 10-won coins, 50-won coins, and 100-won coins. The amount of the 50-won coins is 1/3 of the amount of the 10-won coins, and the amount of the 100-won coins is 1/2 of that of the 50-won coins. What kind of won-coins do you have the least? [/INST] Let's denote the number of 10-w... |
<s>[INST] A bank has a waiting list with numbers ranging from 1 to 54. Find how many times the number 5 appears in this waiting list. [/INST] To find out how many times the number 5 appears in the waiting list from 1 to 54, we need to consider two cases:
1. The number 5 appears as a digit in the tens place.
2. The nu... |
<s>[INST] A family decided to share one pineapple. Grandpa ate 1/6 of the whole, and Grandma ate 2/5 of the remaining pineapple. If the remaining pineapple after Chaeyoung ate 2/3 of the pineapple left after Grandpa and Grandma ate was 120 grams (g), how many grams (g) did the first pineapple weigh? [/INST] Let's denot... |
<s>[INST] I used 63 centimeters (cm) of wire to make an equilateral triangle. Find how many centimeters (cm) of wire are needed to make one side of this equilateral triangle. [/INST] An equilateral triangle has three sides of equal length. If you used 63 centimeters of wire to make the entire triangle, you would divide... |
<s>[INST] You are going to give 8 candies to Yuna and Hoseok. If Yuna and Hoseok take at least 1 candy, then how many different ways can candy be distributed? [/INST] To solve this problem, we can use the concept of distributing items into different groups with restrictions.
Since Yuna and Hoseok must each get at leas... |
<s>[INST] A class president and vice president is going to be elected. How many possible cases of the election are there out of Jungkook, Jimin, and Yoongi. [/INST] To determine the number of possible cases for the election of a class president and vice president from Jungkook, Jimin, and Yoongi, we need to consider th... |
<s>[INST] Find the number of ways in which a multiple of 3 or 2 comes up when a die is thrown. [/INST] When a die is thrown, the possible outcomes are 1, 2, 3, 4, 5, and 6.
To find the number of ways in which a multiple of 3 or 2 comes up, we need to identify the numbers that are multiples of 3 or 2 among these outcom... |
<s>[INST] Rounding 12A3 to the hundreds place gives 1300. How many possible numbers are A? [/INST] To round the number 12A3 to the nearest hundred, we need to look at the tens digit, which is represented by A. If A is 5 or greater, the number will round up to 1300. If A is 4 or less, the number will round down to 1200.... |
<s>[INST] There were 1238 snacks and 374 more ramens than snacks in the market. Of these, some snacks were sold, and 276 ramen were bought, so the total of ramen and snacks was 2527. How many sweets were sold? [/INST] Let's start by finding out how many ramens there were initially. Since there were 374 more ramens than... |
<s>[INST] What is the sum of all numbers less than or equal to 0.4 among 0.8, 1/2, and 0.9? [/INST] To find the sum of all numbers less than or equal to 0.4 among 0.8, 1/2, and 0.9, we first need to compare each number to 0.4.
0.8 is greater than 0.4.
1/2 (which is 0.5 when converted to a decimal) is greater than 0.4.... |
<s>[INST] When you open a faucet, 9 milliliters (ml) of water pours out in one second. Water was poured in for 8 seconds and after that, an additional 7 milliliters (ml) was added in a large canteen that was empty. If the water contained in this canteen is divided by 6 milliliters (ml) into small canteens, how many can... |
<s>[INST] There are 6/5, 1/10, and 1.56. What is the sum of these? [/INST] To find the sum of these numbers, we need to add them together. However, since they are not all in the same format, it would be easier to convert them all to decimals or all to fractions before adding.
6/5 is a fraction that can be converted to... |
<s>[INST] It is said that one machine makes eight toys per hour. How many hours does it take to make 200 toys with 5 machines? [/INST] If one machine makes eight toys per hour, then five machines would make 5 times as many toys in an hour.
5 machines * 8 toys/machine/hour = 40 toys/hour
To find out how many hours it... |
<s>[INST] There is a bag in the shape of a cuboid. If the bag is 9 centimeters (cm) wide, 4 centimeters (cm) long, and 7 centimeters (cm) high, what is the volume in cubic centimeters (cm3) of the bag? [/INST] The volume of a cuboid (also known as a rectangular prism) is calculated by multiplying its length, width, and... |
<s>[INST] There are colored carps and crucian carps in the aquarium tank. Both of them eat 3 bags of feed. To feed all these fish, the keepers prepare 60 bags of individual feed and 15 bags of 8 packets of feeds. There are 52 colored carps in the tank. Find how many crucian carps are in the tank. [/INST] First, let's c... |
<s>[INST] Multiples of 3 greater than 0 and less than 100 are written sequentially. What is the product of the 22st and 23th numbers from the left? [/INST] To find the 22nd and 23rd multiples of 3 that are greater than 0 and less than 100, we can simply multiply 3 by 22 and 3 by 23.
The 22nd multiple of 3 is:
3 x 22 =... |
<s>[INST] How many two-digit natural numbers can be formed using even numbers smaller than 5 and with different digits? [/INST] To form a two-digit natural number using even numbers smaller than 5, we have the even numbers 0, 2, and 4 to choose from. Since we want different digits, we can't repeat any of these numbers ... |
<s>[INST] There are four different numbers A, B, C, and D. Find ABCD from the four-digit formula ABCD+ABCD=7314. [/INST] The equation ABCD + ABCD = 7314 represents the sum of two identical four-digit numbers that results in 7314. To find the value of ABCD, we can simply divide 7314 by 2.
\[ 7314 ÷ 2 = 3657 \]
Therefo... |
<s>[INST] You used wire to make one square shape with a side of 20 centimeters (cm). You are going to re-stretch this wire and use it all to make one rectangular shape. If the width of the rectangle is 14 centimeters (cm), how many centimeters (cm) is the length? [/INST] First, let's calculate the total length of the w... |
<s>[INST] There is a number whose multiples are 160 minus 4 and 197 minus 2. If you divide that number by 229, it is said to be short of 5. Find the largest natural number among these numbers. [/INST] Let's denote the unknown number as \( x \).
According to the problem, \( x \) is a number whose multiples are \( 160 -... |
<s>[INST] Sixteen strips of colored tape, each 10.4 centimeters (cm) long, were joined together in a circle with overlaps of 3.5 centimeters (cm). How many centimeters (cm) is the total length of the circle-shaped colored tape that was joined together? [/INST] If each strip of tape is 10.4 cm long and there are sixteen... |
<s>[INST] When you mistakenly multiply a number that should be divided by 4, the result was 166.08. Find the result of the correct calculation. [/INST] If you mistakenly multiplied a number by 4 instead of dividing it by 4, and the result was 166.08, we can find the original number by reversing the multiplication.
To... |
<s>[INST] What is the area of a rectangle with one side measuring 5.9 centimeters (cm) and the other side measuring 3 centimeters (cm)? [/INST] The area of a rectangle is calculated by multiplying the length of one side by the length of the adjacent side. In this case, the sides are 5.9 cm and 3 cm.
Area = length × w... |
<s>[INST] You have a triangle with a base of 5/6 meters (m) and a height of 4/6 meters (m). How many meters (m) is the base of this triangle greater than its height? [/INST] To find out how much greater the base of the triangle is than its height, you subtract the height from the base:
Base - Height = Difference
(5/6... |
<s>[INST] Draw one of the cards numbered 1 through 9 and find the sum of all the numbers that, when multiplied by 21, are greater than 84 multiplied by 2. [/INST] First, let's find the number that is the result of 84 multiplied by 2:
84 * 2 = 168
Now, we need to find all the numbers that, when multiplied by 21, are g... |
<s>[INST] This year, Jungkook is 16 years old and his mother is 46 years old. How many years ago was Jungkook's mother's age four times Jungkook's? [/INST] Let's call the number of years ago that we are looking for "x".
x years ago, Jungkook's age would have been (16 - x) and his mother's age would have been (46 - x)... |
<s>[INST] I decided to pack 138 apples in a box with 18 apples each and put the rest in a basket. Find how many apples are in the basket. [/INST] To find out how many apples are in the basket, we first need to determine how many full boxes of 18 apples we can make with 138 apples.
We divide 138 by 18 to find out how m... |
<s>[INST] Joohyeon bought candies that cost 300 won each and snacks that cost 500 won each using 3,000 won. If he bought a total of 8, how many snacks did Joohyeon buy? [/INST] Let's denote the number of candies Joohyeon bought as \( c \) and the number of snacks as \( s \). We are given two pieces of information:
1. ... |
<s>[INST] Jungkook has 3 red bikes and Yoongi has 4 blue bikes. How many bikes are there in total? [/INST] Jungkook has 3 red bikes and Yoongi has 4 blue bikes. In total, there are 3 + 4 = 7 bikes. </s> |
<s>[INST] 211.5 is B minus A. When B is the value of multiplying the decimal A by 10, find A including the decimal point. [/INST] Let's denote A as the unknown value we are looking for. According to the problem, B is the value of multiplying the decimal A by 10. So we can write:
B = 10 * A
We are also given that 211.... |
<s>[INST] Find the weight of 11 meters (m) of rebar, weighing 15.3 kilograms (kg) when it's 5 meters (m), in kilograms (kg). [/INST] To find the weight of 11 meters of rebar, we first need to determine the weight per meter. We know that 5 meters of rebar weighs 15.3 kilograms. So, we can calculate the weight per meter ... |
<s>[INST] Chanhee goes 0.45 meters (m) for one step. If Chanhee walked for 13 minutes by 90 steps per minute, find how many meters (m) she walked in total. [/INST] First, let's calculate the total number of steps Chanhee took during the 13 minutes of walking.
If Chanhee walks at a pace of 90 steps per minute, then in... |
<s>[INST] You made a regular triangle using ribbon with a side length of 20/9 centimeters (cm). If you unroll this ribbon to make a regular pentagon, find how many centimeters (cm) the length of one side is. [/INST] To solve this problem, we need to find the total length of the ribbon used to make the regular triangle ... |
<s>[INST] Find the number of three-digit numbers from 2 to 355. [/INST] To find the number of three-digit numbers from 2 to 355, we need to consider only the numbers that are actually three digits long. The smallest three-digit number is 100 and the largest three-digit number in the given range is 355.
So, we need to ... |
<s>[INST] If there are 6 students in the class, find how many cases are there to select 1 team leader, 1 manager, and 1 clerk. [/INST] To select a team leader, manager, and clerk from a class of 6 students, we can use permutations since the order in which we select the positions matters (i.e., being a team leader is di... |
<s>[INST] There are 8 people in the company, but there are 5 computers, so they have to take turns using them. If the working day is 2 hours and 32 minutes, how many minutes per person spend on the computer on average? [/INST] First, let's convert the working day from hours and minutes to just minutes. There are 60 min... |
<s>[INST] Eunji opened the book and the sum of the two pages was 137. Write the larger of the two pages Eunji has opened. [/INST] If the sum of the two pages is 137, we can assume that the pages are consecutive, as books are typically numbered in this way. Let's call the smaller page number x. Since pages in a book are... |
<s>[INST] When you round the four-digit number 6A42 to the thousands place, it becomes 6000. How many digits from 0 to 9 can be written as A? [/INST] When rounding to the thousands place, you look at the hundreds digit to determine whether to round up or down. If the hundreds digit is 5 or greater, you round up. If it'... |
<s>[INST] When you add 14 to a number, you get 56. Find the result of multiplying the number by 3. [/INST] Let's call the unknown number "x". According to the information given:
x + 14 = 56
To find the value of x, we subtract 14 from both sides of the equation:
x = 56 - 14
x = 42
Now, to find the result of multiply... |
<s>[INST] Jungkook has a 0.8 number card, Yoongi has a 1/2 number, and Yoojung has a 0.9 number card. How many people have a number card greater than 0.3? [/INST] All three individuals have number cards greater than 0.3.
Jungkook has a 0.8 number card, which is greater than 0.3.
Yoongi has a 1/2 (0.5 when converted to... |
<s>[INST] Find the second smallest odd number from 1 to 10. [/INST] The odd numbers from 1 to 10 are 1, 3, 5, 7, and 9. The second smallest odd number in this range is 3. </s> |
<s>[INST] Write the 3rd smallest number among three-digit numbers that can be made by drawing three different numbers from 4, 0, 9, and 8. [/INST] To find the 3rd smallest number among three-digit numbers that can be made by drawing three different numbers from 4, 0, 9, and 8, we first need to list out all the possible... |
<s>[INST] Minji has 0.74 meters (m) of color tape, Seungyeon has 13/20 meters (m), and Hyesu has 4/5 meters (m). Who has the longest colored tape? [/INST] To determine who has the longest colored tape, we need to compare the lengths in the same units. Minji's length is already given in meters, so we need to convert Seu... |
<s>[INST] Three students pulled marbles with numbers from their pockets. The marble that Jungkook picked has a 7 written on it, and the marble that Minyoung picked has a 5 written on it. Taehyung's number of marble is greater than Minyoung's but less than Jungkook's. What is the number of marble Taehyung has? [/INST] T... |
<s>[INST] Seulgi is 159 centimeters (cm) tall and Hohyeon is 162 centimeters (cm) tall. Which of the two is taller? [/INST] Hohyeon is taller at 162 centimeters (cm) compared to Seulgi who is 159 centimeters (cm) tall. </s> |
<s>[INST] It takes 10 days for an older sister and 20 days for a younger sister to complete a certain task. After the older sister did this task alone for four days, the sisters worked together to finish the task. How many days did the sisters work together? [/INST] Let's calculate the amount of work each sister can do... |
<s>[INST] At school, students take turns giving presentations. Eunjung was in sixth place, followed by seven students. How many students are there in total? [/INST] If Eunjung was in sixth place and followed by seven more students, then we add the seven students to Eunjung's position to find the total number of student... |
<s>[INST] If there are 5 people A, B, C, D, E, find the number of ways to select 1 president and 1 vice president. [/INST] To select a president and a vice president from 5 people, we can use the permutation formula since the order of selection matters (president first, then vice president).
First, we select the presi... |
<s>[INST] When A is divided by B, the quotient is 6 and the remainder is 3. A and B are natural numbers. What is the smallest among the divisor B? [/INST] According to the division algorithm, when a number A is divided by another number B, the relationship between them can be expressed as:
A = B * Q + R
where:
A is t... |
<s>[INST] Find the greatest possible two-digit number that is common multiple of 3 and 5. [/INST] To find the greatest possible two-digit number that is a common multiple of 3 and 5, we need to find the least common multiple (LCM) of 3 and 5 and then find the largest two-digit multiple of that LCM.
The LCM of 3 and 5 ... |
<s>[INST] There are four friends, Soohyun, Kiyoon, Taehun, and Hwajun. Kiyoon is 207 millimeters (mm) taller than Soohyun. Taehun is 252 millimeters (mm) taller than Soohyun. Hwajun is 839 millimeters (mm) taller than Kiyoon. How many millimeters (mm) is the difference in height between Soohyun and Hwajun? [/INST] To f... |
<s>[INST] Junhoe had a wire measuring 134.5 cm (cm). If the length of Yujin's wire was 1.06 times the length of Junhoe's wire, how many centimeters (cm) long is Yujin's wire? [/INST] To find the length of Yujin's wire, we need to multiply the length of Junhoe's wire by 1.06:
Yujin's wire length = Junhoe's wire length ... |
<s>[INST] Five balls (a), (b), (c), (d), and (e) are placed side by side. (e) is placed to the right of (c), and (e) is placed to the left of (d). Also, (c) is on the right side of (a), and (d) is on the left side of (b). Which ball is placed to the far left? [/INST] Let's analyze the given information step by step:
1... |
<s>[INST] The total weight of 9 apples of the same weight is 4.5 kilograms (kg). Several melons weighing 850 grams (g) and two apples were placed on one side of the pan balance scale, and five watermelons weighing 1050 grams (g) were placed on the other side, and they were level. How many melons are there? [/INST] Firs... |
<s>[INST] Shinyoung read 1/3 of the children's book, Seokgi 1/4, and Woong 1/5. Who has read the most of the children's book? [/INST] To determine who has read the most of the children's book, we need to compare the fractions that represent the parts of the book each person has read.
Shinyoung read 1/3 of the book.
Se... |
<s>[INST] The 20 students in Heesun's class have their own attendance numbers ranging from 1 to 20. Among the students in Heesun's class, the female students numbers are 1, 3, 4, 6, 7, 10, 11, 13, 16, 17, 18, and 20, and the student who is an only child is numbered 1, 4, 5, 8, 11, 14, 17 and 20. Find out the number of ... |
<s>[INST] If three of 3, 5, 8, and 9 are drawn to form a three-digit natural number, how many possible numbers are there? [/INST] To form a three-digit number, we need to select 3 different digits from the set {3, 5, 8, 9}. Since the order in which we select the digits matters (because 358 is a different number from 83... |
<s>[INST] Find the average of the odd numbers from 1 to 10 that are less than 6. [/INST] The odd numbers from 1 to 10 that are less than 6 are 1, 3, and 5.
To find the average of these numbers, we add them together and then divide by the number of values.
Average = (1 + 3 + 5) / 3
Average = 9 / 3
Average = 3
So, the... |
<s>[INST] A+B=84 and B+C=60 and A=B+B+B+B+B+B. Find A-C when A, B, and C are three different natural numbers. [/INST] Let's start by simplifying the equation A = B + B + B + B + B + B. This can be rewritten as A = 6B.
Now we have two equations:
1) A + B = 84
2) B + C = 60
From equation 1, we can substitute A with 6B:... |
<s>[INST] We had a swimming competition in the pool. 2nd place is Namjoon, 4th place is Yoongi. Hoseok was slower than Namjoon and faster than Yoongi. What is the rank of Hoseok? [/INST] If Hoseok was slower than Namjoon, who got 2nd place, and faster than Yoongi, who got 4th place, then Hoseok must have come in 3rd pl... |
<s>[INST] Find an even number between 40 and 50 that has a remainder of 2 when divided by 7. [/INST] To find an even number between 40 and 50 that leaves a remainder of 2 when divided by 7, we can check each even number in that range:
- 40 ÷ 7 = 5 R 5 (remainder is not 2)
- 42 ÷ 7 = 6 R 0 (remainder is not 2)
- 44 ÷ 7... |
<s>[INST] The transparent bottle contains 12 liters (L) and 400 milliliters (ml) of water, and the opaque bottle contains 7600 milliliters (ml) of water. How many liters (l) must be transferred from the transparent bottle to the opaque bottle to equalize the volume of water in the two bottles? [/INST] First, let's conv... |
<s>[INST] There is 1 white hat and 4 indistinguishable black hats. How many different ways can you arrange these hats in a row? [/INST] Since there is only one white hat and the black hats are indistinguishable from each other, the only thing that matters in the arrangement is the position of the white hat.
There are... |
<s>[INST] There are 17 more adults on the train compared to the children. At the next station, 57 adults and 18 children got on and 44 got off. How many adults were on the train initially, provided there are 502 people on the train now? [/INST] Let's denote the number of adults initially on the train as A and the numbe... |
<s>[INST] There are four numbers 0.8, 1/2, 0.9, and 1/3. Which number is the greatest among the numbers that are smaller than or equal to 3? [/INST] To compare the numbers, it's helpful to express them all in the same format. Let's convert the fractions to decimals:
1/2 = 0.5
1/3 ≈ 0.333...
Now we have the numbers in... |
<s>[INST] I mistakenly added 267 which should have subtracted from a number, and I got 821. Find out how much it is if you calculate it correctly. [/INST] If you mistakenly added 267 instead of subtracting it, we can reverse the incorrect operation to find the original number.
You ended up with 821 after incorrectly ... |
<s>[INST] If a pencil sold at a store is 200 won more expensive than 5,000 won, find the price of the pencil in units of 10,000 won. [/INST] If the pencil is 200 won more expensive than 5,000 won, then the price of the pencil is:
5,000 won + 200 won = 5,200 won
To find the price of the pencil in units of 10,000 won, ... |
<s>[INST] All seven boxes of apples contain the same weight of apples. After taking out 20 kilograms (kg) of apples from each box, the weight of the seven apple boxes was equal to the weight of the first three apple boxes. Find the weight of the first box of apples. [/INST] Let's denote the weight of apples in each box... |
<s>[INST] There is a perimeter of 210 centimeters (m) round ring made by connecting 12 sheets of paper tape whose length is 18 centimeters (cm). If the overlapped parts of the tape is the same, find how much is overlapped in millimeters (mm). [/INST] First, let's find the total length of the paper tape before overlappi... |
<s>[INST] Minsu gave 30 notebooks to Jaehyuk, Kyunghwan, and Jaeho. Jaehyeok received 12 notebooks, Kyunghwan received 3 notebooks, and Jaeho received 15 notebooks. Which friend got the most notebooks? [/INST] Jaeho received the most notebooks, with a total of 15 notebooks. </s> |
<s>[INST] In the math test, Jungkook placed the 5th, and Kwangsoo placed the 3rd. If Mijoo had a higher score than Jungkook, but a lower score than Kwangsoo, what rank would Mijoo be? [/INST] If Mijoo had a higher score than Jungkook, who placed 5th, but a lower score than Kwangsoo, who placed 3rd, then Mijoo would be ... |
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