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Find the mass percentage of H in a certain compound if the mass percentage is 4.84%. |
A sum of money at simple interest amounts to some amount in 1 year and to Rs. 1734 in 2 years. The sum is Rs. 1708.5. How much does the sum amount to in 1 year? |
If 4 men can paint a certain length of wall in 3 days, then 5 men can paint a 50 m long wall in 2 days. How long was the wall that the first group painted? |
A certain company expects quarterly earnings of $ 0.80 per share of stock, half of which will be distributed as dividends to shareholders while the rest will be used for research and development. If earnings are greater than expected, shareholders will receive an additional amount per share for each additional $ 0.10 of per share earnings. If quarterly earnings are $ 1.10 per share, the dividend paid to a person who owns 500 shares of the company's stock will be $260. What is the additional amount per share for each additional $ 0.10 of per share earnings? |
Find the compound interest on $2500 for 6 years at 25% p.a. if interest is compounded quarterly. |
Evergreen Elementary school has 180 students in Grades 4, 5, 6, and 7. There are 4 classes in each grade. Grade 4 has 22 students in Class A, 28 students in Class B, 16 students in Class C, and 24 students in Class D. Grade 5 has 19 students in Class A, 32 students in Class B, 27 students in Class C, and 26 students in Class D. Grade 6 has 30 students in Class A, 20 students in Class B, and 25 students in Class C. If there are equal number of students in all 4 classes of Grade 7, how many students are in Grade 6 Class D? |
A garage has some bike wheels. The garage can assemble 10 bikes. How many bike wheels does the garage have? |
There are three different shoe brands, each with varying repair costs, lifespans, and new purchase prices:
Brand A:
- Repair cost: $12.00, lasts for 1 year
- New purchase price: $35.00, lasts for 2.5 years
Brand B:
- Repair cost: $15.50, lasts for 1.5 years
- New purchase price: $45.00, lasts for 3 years
Brand C:
- Repair cost: $18.00, lasts for 1.75 years
- New purchase price: $55.00, lasts for 4 years
Calculate the percentage difference in average cost per year between repairing the used shoes and buying new shoes for each brand. |
A, B, and C invested some amount in a partnership business. B invested Rs. 4200, and C invested Rs. 10500. After a year, the profit was Rs. 12100, and A's share in the profit was Rs. 3630. How much did A invest in the business? |
If 65% of a number x is greater than 5% of 60 by 23, 40% of another number y is less than 10% of 120 by 15, and the square of the difference of x and y is greater than or equal to 100, what are the values of x and y that satisfy these conditions? |
On the first day of participating in the group activity, Miju met 11 new friends and shook hands. If Mijoo and her friends shook hands once, how many times did they all shake hands? |
A train is moving at 6/7 of its usual speed. The train is late by some minutes. The usual time for the train to complete the journey is 1.4999999999999993 hours. How many minutes is the train late? |
Utopia National Park hosted 30,000 elephants on Friday night. On Saturday morning, there was a 4-hour elephant exodus out of the park. During the first 2 hours, the exodus occurred at a constant rate of 1,480.5 elephants/hour, and during the next 2 hours, it occurred at a constant rate of 2,145.7 elephants/hour. In the afternoon, over the next 7-hour period, two different groups (Group A and Group B) of new elephants entered the park with different constant rates. If the final number of elephants in the park was 28,980, and Group A entered the park at a rate of 1,943.6 elephants/hour, at what rate did the Group B elephants enter the park? |
The dimensions of a rectangle were given, along with the dimensions of 2 doors and 2 windows. A certain width of wallpaper is to be covered on the walls of this room. The cost of the wallpaper is $60 per meter. The total cost is $60. What is the width of the wallpaper? |
Excluding stoppages, the speed of a train is 50 kmph and including stoppages it is some kmph. The train stops for 24 minutes per hour. What is the speed of the train including stoppages? |
Jessie currently weighs 27 kilograms. After she started to go jogging everyday, she lost 101 kilograms. How much did she weigh before starting to jog? |
If xy denotes x is raised to the power y, find the last two digits of 19413846 + 19614181. |
The price of 3 chudis and 6 tops is Rs. 1500. With the same money, one can buy 1 chudi and 12 tops. If one wants to buy some tops, she has to pay Rs. 500. How many tops does she want to buy? |
Each child has some crayons and 24 apples. There are 18 children, and there are a total of 216 crayons. How many crayons does each child have? |
If the sum of the 4th term and the 12th term of an arithmetic progression is 8, what is the sum of the first 25 terms of the progression? |
On selling 17 balls at Rs. 720 after offering a discount of 10% on the total selling price, there is a loss equal to the cost price of 5 balls. What is the cost price of each ball? |
the distance from city a to city b is 120 miles . while driving from city a to city b , bob drives at a constant speed of 40 miles per hour . alice leaves city a 30 minutes after bob . what is the minimum constant speed in miles per hour that alice must exceed in order to arrive in city b before bob ? |
A phone company offers two service plans for long distance calls. The first plan has a 22 dollars monthly fee and charges an additional 0.13 dollars for each minute of calls. The second plan has an 8 dollars monthly fee and charges an additional fee for each minute of calls. The costs of the two plans will be equal for 280 minutes of calls. What is the additional fee per minute for the second plan? |
Two trains of equal length are running on parallel lines in the same direction at some speed and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each train is 70 meters. What is the speed of the faster train? |
A cheese factory sells its cheese in rectangular blocks. A normal block has a volume of three cubic feet. A large block has twice the width, twice the depth, and a certain multiple of the length of a normal block, and its volume is 36 cubic feet. What is the multiple of the length of a large block compared to a normal block? |
Let's say we have the following system of equations, where x and y are two variables representing different numbers:
1) 5x - 3y = -7
2) 4x + 6y = 34
Now, find the values of x and y that satisfy both equations. |
Drum X is 1/2 full of oil and drum Y, which has twice the capacity of drum X, is 1/5 full of oil. If all of the oil in drum X is poured into drum Y, then drum Y will be filled to what capacity? |
Mrs. Hilt bought 4 pizzas. The first 2 pizzas had 8 slices each, the third pizza had 10 slices, and the fourth pizza had 12 slices. How many total slices of pizza did she have? |
The salaries of A, B, and C together amount to $12,000. A spends 95% of his salary, B spends 85% of his salary, and C spends 90% of his salary. If now, their savings are the same, what are the individual salaries of A, B, and C? |
There are 5 snails and 2 frogs in the pond. How many snails and frogs are in the pond? |
Mr. Langsley commutes to work every day by bus. The bus picks him up at 6:00 a.m. and takes forty minutes to arrive at the first station. If the total time taken in minutes from the first station to Mr. Langsley's workplace is 140 minutes, at what time does Mr. Langsley arrive at work? |
p, q, and r together earn Rs. 1620 in 9 days. p and r can earn Rs. 600 in 5 days. q and r in 7 days can earn Rs. 910. How much amount does r can earn per day? |
Paco's Countertop Company purchased pieces of marble from a quarry. The weights of the pieces they purchased were 0.3333333333333333 ton, 0.3333333333333333 ton, and 0.08333333333333333 ton. How many tons of marble did Paco's Countertop Company purchase in all? |
Jason picked 46 pears, gave some pears to Keith, and Mike gave 12 pears from the pear tree to Jason. Jason has 11 pears now. How many pears did Jason give to Keith? |
It takes 35 identical printing presses a certain amount of hours to print 500,000 papers. It would take 30 of these printing presses 13.999999999999998 hours to print 500,000 papers. How many hours did it take for the 35 printing presses to print 500,000 papers? |
Chad has 100 apples and each apple has different sizes and different price ranges. Each small apple cost $1.5, medium apple cost $2, and big apples cost $3. Donny bought 6 small and medium apples and also 8 big apples. How much will Donny have to pay for all of it? |
At its Grand Opening , the Guthrie Market distributed two different types of souvenirs. One type cost 20 cents each , and the other type cost 25 cents each. One thousand souvenirs were distributed in all. If the cost of these souvenirs was 220 dollars. How many of 25 cents souveniers were distributed? |
Solution P is 20 percent lemonade and 80 percent carbonated water by volume; Solution Q is 45 percent lemonade and 55 percent carbonated water by volume. If a mixture of P and Q contains 67.5 percent carbonated water, what percent of the volume of the mixture is P? |
James has five huskies, two pitbulls and some golden retrievers, all female. They became pregnant and each golden retriever had two more pups than each husky. The huskies and pitbulls had 3 pups each. There are 30 more pups than adult dogs in total. How many golden retrievers does James have? |
To buy a book, you pay $20 for each of the first 5 books at the supermarket, and for each additional book you buy, you receive a discount. Beatrice bought 20 books and paid $370 at the supermarket. How much discount did she receive for each additional book over $20? |
A whale goes on a feeding frenzy that lasts for 9 hours. For the first hour, he catches and eats x kilos of plankton. In every hour after the first, it consumes some kilos of plankton more than it consumed in the previous hour. By the end of the frenzy, the whale will have consumed a whopping accumulated total of 450 kilos of plankton. He consumed 54 kilos on the sixth hour. How many more kilos of plankton did the whale consume in each hour after the first compared to the previous hour? |
the cost price of an article is 64 % of the marked price . calculate the gain percent after allowing a discount of 14 % ? |
Maxwell leaves his home and walks toward Brad's house at 2 km/h, while Brad leaves his home and runs toward Maxwell's house at a certain speed. The distance between their homes is 65 km. They meet in the middle after Maxwell has traveled 26 km. What is Brad's running speed? |
John scores 2 shots worth 2 points and 1 shot worth 3 points every few minutes. He plays for 2 periods. Each period is 12 minutes. He scores 42 points. How many minutes does it take for him to score these shots? |
What is the molecular weight of a compound having 1 Aluminium, 1 Phosphorus, and 4 Oxygen |
of the votes cast on a certain proposal , 58 more were in favor of the proposal than were against it . if the number of votes against the proposal was 40 percent of the total vote , what was the total number of votes cast ? ( each vote cast was either in favor of the proposal or against it . ) |
Anne bought doughnuts for a class breakfast party. She bought 12 chocolate doughnuts, 15 coconut doughnuts, 18 jam-filled doughnuts, 10 glazed doughnuts, and 20 sugar-coated doughnuts. How many doughnuts did Anne buy in all? |
Bill is buying healthcare on an exchange. The normal monthly price of the plan he wants is some amount. The government will pay for part of this cost depending on Bill's income: 90% if he makes less than $10,000, 50% if he makes between $10,001 and $40,000, and 20% if he makes more than $50,000. Bill earns $25/hour and works 30 hours per week, four weeks per month. Bill will spend $3000 for health insurance in a year. What is the normal monthly price of the plan he wants? |
Two trains start from the same place at the same time at right angles to each other. Their speeds are 36 km/hr and 48 km/hr respectively. After 30 seconds, what is the distance between them? |
A chocolate cake needs 3 eggs per cake. Cheesecake requires 8 eggs for each cheesecake. How many more eggs are needed for a certain number of cheesecakes than are needed for 5 chocolate cakes if the difference is 57 eggs? |
Given the value of (x + y) / 3 is 1.888888888888889 and 2x + y = 7, what is the equation involving x and y that, when combined with 2x + y = 7, gives the correct value for (x + y) / 3? |
fred and sam are standing 35 miles apart and they start walking in a straight line toward each other at the same time . if fred walks at a constant speed of 2 miles per hour and sam walks at a constant speed of 5 miles per hour , how many miles has sam walked when they meet ? |
A banana plantation on Jakies Island can produce ten times as many bananas as a banana plantation on a nearby island. If the banana plantation on the nearby island produced 9000 bananas in a year, what's the total banana produce from the two islands that year? |
Danny collects bottle caps. He found 18 bottle caps at the park. Now he has 55 bottle caps in his collection. How many bottle caps did Danny have at first? |
The movie theater sells matinee tickets for $5, evening tickets for $12, and 3D tickets for $20. They sell 200 matinee tickets, 300 evening tickets, and a certain number of 3D tickets. They make a total of $6600. How many 3D tickets do they sell? |
A store owner buys clothes wholesale and adds 80% to the wholesale price to set the retail price. The retail price of a pair of pants is $36. What is the wholesale price? |
David obtained some marks in English, 60 in Mathematics, 78 in Physics, 60 in Chemistry, and 65 in Biology. His average marks are 66.6. What are his marks in English? |
Mr. Callen decided to diversify his business by investing in different kinds of items. He bought 15 paintings at $60 each, 12 wooden toys at $25 each, and 20 handmade hats at $15 each from the crafts store to resell at a profit. Unfortunately, the market wasn't as favorable as he had anticipated. He ended up selling the paintings for 18% less than he bought them, the wooden toys at a 25% loss, and the handmade hats for 10% less than their original price. Calculate the total loss Mr. Callen made from the sale of these items. |
if 45 % of z is 72 % of y and y is 75 % of x , what percent of x is z ? |
Roja and Pooja start moving in the opposite directions from a pole. They are moving at the speeds of 8 km/hr and 3 km/hr respectively. After a certain amount of time, the distance between them is 44 km. How many hours did they travel? |
Jasmine bought 4 pounds of coffee beans and 2 gallons of milk. A pound of coffee beans costs a certain amount and a gallon of milk costs $3.50. Jasmine will pay $17 in all. How much does a pound of coffee beans cost? |
In a class of some students, 2 students did not borrow any books from the library, 12 students each borrowed 1 book, 13 students each borrowed 2 books, and the rest borrowed at least 3 books. The average number of books per student was 2. What is the total number of students in the class? |
If some spiders make 5 webs in 5 days, and 1 spider takes 10 days to make 1 web, how many spiders are there? |
A man gains 30% by selling an article for a certain price. If he sells it at a different price, the percentage of profit will be 260%. What is the ratio of the new selling price to the original selling price? |
a pump can fill a tank with water in 2 hours . because of a leak , it took 2 1 / 3 hours to fill the tank . the leak can drain all the water in ? |
The area of a sector of a circle of radius 5 cm formed by an arc of a certain length is 8.75 cm². What is the length of the arc? |
Alyssa paid $12.08 for grapes and was refunded $9.85 for cherries. How much did she spend in total? |
A number, when divided by 242, gives a certain remainder. When dividing the same number by 18, the remainder obtained is 19. What is the remainder when the number is divided by 242? |
The farmer had some apples. He gave 88 apples to his neighbor and now he has 39 apples. How many apples did the farmer have initially? |
The sum of the number of boys and girls in a school is 100. If the number of boys is a certain number, then the number of girls becomes that same percentage of the total number of students. What is the number of boys in the school? |
If the sum of three consecutive natural numbers is 30, find the middle number among the three natural numbers. |
in a box of 9 pens , a total of 3 are defective . if a customer buys 2 pens selected at random from the box , what is the probability that neither pen will be defective ? |
A guy was asked to specify his age in years. He said, “Take my age some years hence, multiply it by 5 and subtract 5 times of my age 5 years ago and you will know my age.” The age of that guy was 50. How many years hence did he refer to? |
Car A runs at the speed of 50 km/hr and reaches its destination in 8 hours. Car B runs at the speed of 25 km/hr and reaches its destination in a certain amount of time. The respective ratio of distances covered by Car A and Car B is 4. How long does it take for Car B to reach its destination? |
average of money that group of 4 friends pay for rent each month is $ 800 . after one persons rent is increased by 20 % the new mean is $ 870 . what was original rent of friend whose rent is increased ? |
a certain company retirement plan has arule of 70 provision that allows an employee to retire when the employee ' s age plus years of employment with the company total at least 70 . in what year could a female employee hired in 1987 on her 32 nd birthday first be eligible to retire under this provision ? |
If the price of 357 apples is a certain amount, what will be the approximate price of 49 dozens of such apples if their total cost is Rs. 2499? |
Kevin bought 3 muffins and a bottle of juice that cost $1.45. Each muffin cost $0.75. How much did Kevin pay in total? |
There are 450 birds at a small zoo. The number of birds is some times the number of all the other animals combined. There are 360 more birds than non-bird animals at the zoo. What is the ratio of the number of birds to the number of non-bird animals at the zoo? |
How many moles of Sodium bicarbonate are required to react with 3 moles of Hydrochrolic acid to form 3 moles of Water, 3 moles of Carbon dioxide and 3 moles of Sodium chloride |
What number is obtained by adding the units digits of 734 ^ 99 and 347 ^ 83? |
A book has 3 chapters. The first chapter is some pages long, the second chapter is 18 pages long, and the third chapter is 3 pages long. The second chapter has 15 more pages than the third chapter. How many pages are in the first chapter? |
Rosalina receives gifts from three people on her wedding day. She got 11 gifts from Emilio, 6 gifts from Jorge, and some gifts from Pedro. Rosalina received a total of 21 gifts. How many gifts did Pedro give? |
Mr. Gardner bakes 20 cookies, some cupcakes, and 35 brownies for his second-grade class of 20 students. He wants to give each student an equal amount of sweet treats, and each student receives 4 sweet treats. How many cupcakes did Mr. Gardner bake? |
a candidate got 31 % of the votes polled and he lost to his rival by 2451 votes . how many votes were cast ? |
In one week, Jake can eat 3 papayas, his brother can eat 5 papayas, his father can eat 4 papayas, and his mother can eat 6 papayas. However, their consumption rate varies each week. Jake's weekly consumption increases by 1 papaya, his brother's decreases by 1 papaya, his father's increases by 2 papayas, and his mother's decreases by 2 papayas every week. Considering these varying consumption rates, how many papayas does Jake need to buy from the farmer's market to account for 4 weeks? |
Every day, the fisherman catches a variety of fish with a total weight capacity of 200 pounds. On a particular day, he catches 8 Red snappers with a combined weight of W1 pounds, 14 Tunas with a combined weight of W2 pounds, 6 Groupers with a combined weight of W3 pounds, and 10 Mackerels with a combined weight of W4 pounds. The market price for Red snapper fluctuates daily between $2.50 and $3.50 per pound, the price for Tuna fluctuates daily between $1.75 and $2.50 per pound, the price for Grouper fluctuates daily between $3.00 and $4.00 per pound, and the price for Mackerel fluctuates daily between $1.50 and $2.25 per pound. Given that the total weight of fish caught does not exceed the fisherman's weight capacity, provide a range for the fisherman's possible daily earnings considering the fluctuating market prices. |
A certain number of men can build a water fountain 56 meters long in 14 days. If 35 men can build a water fountain 21 meters long in 3 days, how many men were in the first group? |
In a certain archery competition, points were awarded as follows: the first place winner receives 11 points, the second place winner receives 7 points, the third place winner receives 5 points, and the fourth place winner receives 2 points. No other points are awarded. John participated several times in the competition and finished first, second, third, or fourth each time. He participated in the competition 7 times. What was the product of all the points he received? |
The sum of 2 integers is 30. 2 times the larger integer is 10 less than a certain multiple of the smaller integer. The smaller number is 10. What is the multiple of the smaller integer? |
the radius of a wheel is 22.4 cm . what is the distance covered by the wheel in making 750 resolutions ? |
While on vacation, Nancy took 49 pictures at the zoo and 8 at the museum. She later deleted some of the pictures and now she has 19 pictures left. How many pictures did she delete? |
There are some students in the senior class at East High School. 52% of the students play sports. Of the students that play sports, 12.5% play soccer. 26 students play soccer. How many students are in the senior class at East High School? |
What is the rate of interest if the principal amount is 400, the simple interest is 120, and the time is 2 years? |
a can do a piece of work in 12 days and b alone can do it in 14 days . how much time will both take to finish the work ? |
Find the amount of Carbonic acid formed on combining some moles of Carbon dioxide and 3 moles of Water, if the amount of Carbonic acid formed is 186. How many moles of Carbon dioxide are combined? |
a train 124 m long running at 68 kmph crosses a platform in 19 sec . what is the length of the platform ? |
A boy standing idle sounds a whistle to his friend at a distance of 1200 m moving away from him in a speeding car at 108 kms/hr. (Speed of sound = 330 m/sec). Find the duration after which his friend is going to hear him. |
an uneducated retailer marks all his goods at 60 % above the cost price and thinking that he will still make 25 % profit , offers a discount of 25 % on the marked price . what is his actual profit on the sales ? |
A pet store had 78 puppies. In one day they sold 30 of them and put the rest into cages. They used 6 cages and each cage had the same number of puppies. How many puppies were in each cage? |
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