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A rectangular floor is covered by a rug except for a strip 4 meters wide along each of the four edges. The floor has a certain length and a width of 20 meters. The area of the rug is 204 square meters. What is the length of the floor?
A batsman in his some innings makes a score of 80 and thereby increases his average by 3 runs. His average after these innings, assuming he had never been 'not out', is 47. In which innings did he make a score of 80?
If a certain fraction equals 0.525, and the 81st digit to the right of the decimal point in the decimal equivalent of the fraction is 5, what is the numerator of the fraction?
Frank was reading through his favorite book. The book had 193 pages equally distributed over 15 chapters. It took Frank some days to finish the book, reading 44 chapters per day. How many days did it take Frank to finish the book?
In a class of some students, 12 enrolled for both English and German. 22 enrolled for German. If the students of the class enrolled for at least one of the two subjects, then 18 students enrolled for only English and not German. How many students are there in the class?
A bucket contains 2 mixtures A and B in the ratio 3 : 2. If 5 liters of the mixture is replaced by 5 liters of liquid B, then the ratio of the two liquids changes. There were 8 liters of liquid A in the bucket. What is the new ratio of liquid A to liquid B in the bucket?
Find the number of moles of H2O formed on combining 2 moles of NaOH and 2 moles of H2SO4. How many moles of H2O are formed?
Abie initially had 20 bags of chips. She decided to share 2/5 of the bags with her friends and bought 18 bags in the store which only cost her half the price of the initial 20 bags. On her way home, Abie found a coupon to buy 4 more bags of chips for 3/4 of the original price per bag. How much did Abie spend in total if each bag originally cost her $2?
Oceanside Bike Rental Shop charges 17 dollars plus 7 dollars an hour for renting a bike. Tom paid 80 dollars to rent a bike. How many hours did he pay to have the bike checked out ?
What is the greatest positive integer x such that 7 ^ x is a factor of 49 ^ 15?
Robby, Jaylen, and Miranda are employed at a Cheesecake factory, earning a certain amount per hour. They work 10 hours a day, five days a week. Robby saves 2/5 of his salary, Jaylene saves 3/5 of his salary, while Miranda saves half of her salary. The combined savings of the three employees after four weeks is $3000. How much do they earn per hour?
The cost price of an article is 64% of the marked price. After allowing a discount of 14%, what is the gain percent?
The sale price of sarees listed for Rs. 800 after successive discounts of 15%, 12%, and 8% is ? Additionally, consider a 5% sales tax and shipping fees of Rs. 100 on the final discounted price.
There are 950 stones. If there are 150 more white stones than black stones, how many black stones are there?
Tom spends $250 to buy gems in a game he plays. The game gives 100 gems for each dollar you spend. Since he bought so many gems he got a 20% bonus of more gems. How many gems did he end up with?
A side of beef lost a certain percentage of its weight in processing. If the side of beef weighed 500 pounds after processing, and it weighed 714.2857142857143 pounds before processing, what percentage of its weight did it lose during processing?
Apple costs l rupees per kilogram for the first 30 kgs and q rupees per kilogram for each additional kilogram. The price of a certain number of kilograms is 333 and for 36 kgs of apples is 366. The cost of the first 15 kgs of apples is 150. How many kilograms of apples were bought for 333 rupees?
10 men and 15 women finish a work in some days. One man alone finishes that work in 100 days. A woman will finish the work in 225.00000000000006 days. In how many days do the men and women together finish the work?
Tori was 4.4 feet tall. Then she grew taller. Now, Tori is 7.26 feet tall. How much did Tori grow?
Find the constant k so that -x^2 - (k + 10)x - b = -(x - 2)(x - 4), where b = 8.
Billy can spit a watermelon seed 30 inches. Madison can spit a watermelon seed 20% farther than Billy. Ryan can spit a watermelon seed 50% shorter than Madison. How far can Ryan spit a watermelon seed?
Lyra has an $80 budget for a week to spend on food. If she bought 1 bucket of fried chicken that costs $12 and 5 pounds of beef that cost $3 per pound. How much is left on her weekly budget?
A river with varying depth and width is flowing towards the sea. The river is divided into three segments before it meets the sea: Segment 1: The first segment of the river is 2 m deep, 45 m wide, and flows at a rate of 6 kmph for 2 km in length. Segment 2: The depth of the second segment increases to 4 m deep, width reduces to 30 m wide, and the flow rate decreases to 4 kmph. This segment is 3 km long. Segment 3: In the third segment, the river splits into two branches, which continue for 5 km. The left branch is 3 m deep, 20 m wide, and flows at a rate of 5 kmph. The right branch is 2.5 m deep, 25 m wide, and flows at a rate of 3.5 kmph. Calculate the total amount of water that runs into the sea from each segment and both branches per minute.
James needs a certain number of blueberries to make a pint of blueberry jam and then a quart of blueberry jam to make a blueberry pie. There are two pints per quart. James needs to pick 2400 blueberries to make 6 pies. How many blueberries does he need to make a pint of blueberry jam?
Tom's rabbit can run at 25 miles per hour. His cat can run 20 miles per hour. The cat gets a 15-minute head start. In hours, how long will it take for the rabbit to catch up?
A 420-meter long train takes 62.99496040316775 seconds to cross a man running with a speed of 6 km/hr in the direction of the moving train. What is the speed of the train?
The owner of a furniture shop charges his customer 20% more than the cost price. If a customer paid Rs. 8600 for a computer table, then what was the cost price of the computer table?
Mrs. Sheridan has 11 cats. Mrs. Garrett has some cats. The difference of the number of Mrs. Sheridan's cats and Mrs. Garrett's cats is 13. How many cats does Mrs. Garrett have?
The commuter rail between Scottsdale and Sherbourne is 200 km of track, and one train makes a round trip in 5 hours. Harsha boards the train at the Forest Grove station, which is located one fifth of the track's length out from Scottsdale. How long will it take her to get to Sherbourne?
a circular ground whose diameter is 34 metres , has a 2 metre - broad garden around it . what is the area of the garden in square metres ?
average of 10 matches is 32 , how many runs one should should score to increase his average by 5 runs .
Benjamin collects 6 dozen eggs a day. Carla collects 3 times the number of eggs that Benjamin collects. Trisha collects a certain number of dozen less than Benjamin. The three collect a total of 26 dozen eggs. How many dozen less does Trisha collect compared to Benjamin?
Find out the compound interest on Rs. 5000 at a certain interest rate per annum compounded half-yearly for 1 1/2 years if the interest is Rs. 302.98. What is the interest rate?
a shopkeeper loses 15 % , if an article is sold for rs . 153 . what should be the selling price of the article to gain 20 % ?
Two solutions containing alcohol are mixed. Solution A has 6 liters of water and x% of alcohol, while Solution B has 9 liters of a solution containing 57% alcohol. After mixing both solutions together, the new mixture has a 45% alcohol concentration. Calculate the percentage (x) of alcohol in Solution A.
what is the perimeter of an isosceles right angled triangle . the area of the isosceles right angled triangle is 50 .
Laura has 28 blocks and 8 cards. If she shares the blocks among 4 friends, how many blocks does each friend get?
If two projectiles are launched at the same moment from 1998 km apart and travel directly towards each other at 444 km per hour and 555 km per hour respectively, how many minutes will it take for them to meet?
the distance between two cities a and b is 330 km . a train starts from a at 8 a . m . and travel towards b at 60 km / hr . another train starts from b at 9 a . m and travels towards a at 75 km / hr . at what time do they meet ?
Josie received $50 as a gift. She plans to buy two cassette tapes that cost a certain amount each and a headphone set that costs $25. She will have $7 left. How much does each cassette tape cost?
Frank had thirteen boxes. If he filled eight with toys, how many boxes does he still have?
There are 200 medical staff at a hospital, consisting of doctors and nurses. The ratio of doctors to nurses is 4 to 6. How many nurses are at the hospital?
In a collection of books that went on sale, there were 60 fiction, 84 non-fiction, and 42 children's books. Out of these, 3/4 of the fiction books were sold for $5 each, 5/6 of the non-fiction books were sold for $7 each, and 2/3 of the children's books were sold for $3 each. If the remaining books were not sold, what was the total amount received for the books that were sold?
Joy fosters dogs. The mom foster dog eats 1.5 cups of food, three times a day. The puppies each eat 1/2 cup of food, twice a day. There are a certain number of puppies. Joy will need 57 cups of food for the next 6 days. How many puppies are there?
A certain company has records stored with a record storage firm in 15-inch by 12-inch by 10-inch boxes. The boxes occupy 1.08 million cubic inches of space. If the company pays $0.8 per box per month for the record storage, what is the total amount that the company pays each month for record storage?
The sum of the perimeters of one regular triangle and one square equals 78 centimeters (cm). If the perimeter of the triangle is 46 centimeters (cm), what is the length of one side of the square in centimeters (cm)?
The ratio of incomes of two persons P1 and P2 is unknown, and the ratio of their expenditures is 3 : 2. At the end of the year, each saves Rs. 1800. If the income of P1 is Rs. 4500, what is the ratio of their incomes?
how much water must be added to 60 litres of milk at 1.5 litres for rs . 20 so as to have a mixture worth rs . 32 / 3 a litre ?
The salaries of A and B together amount to $2000. A spends 95% of his salary and B, 85% of his. Their savings are the same. What is A's salary?
A certain quantity of 45% solution is replaced with 25% solution such that the new concentration is 35%. What is the fraction of the solution that was replaced?
Find the number of moles of NH3 formed on combining some moles of NH4NO3 and 2 moles of NaOH, if the total moles of NH3 formed are 2. How many moles of NH4NO3 were combined?
A man spends a certain percentage of his income on food, 25% on children's education, and 80% of the remaining on house rent. He is left with 8% of his income. What percent of his income does he spend on food?
Emily was playing a trivia game. In the first round she scored 16 points and in the second round she scored 33 points. In the last round she lost 48 points. How many points did she have at the end of the game?
On teacher's day, sweets were to be equally distributed among 190 children in a school. Actually, on the teacher's day, some children were absent and therefore each child got 14 sweets extra. Each child got 38 sweets on that day. How many children were absent on teacher's day?
This weekend's football game matched the Seattle Seahawks with the Denver Broncos. The final score was 37-23, with the Seattle Seahawks taking the win. The Seattle Seahawks scored some touchdowns and 3 field goals during the game. If a touchdown is worth a certain number of points and a field goal is worth 3 points, how many points is a touchdown worth?
In the first year, Grandma Molly created 4 turtle statues and placed them on her front lawn. Each year after, she began to create sets of statues that were inspired by the Fibonacci sequence. In the second year, she created 3 sets, placing a set of 1, a set of 1, and a set of 2 statues on her lawn. In the third year, she created 2 sets, placing a set of 3 and a set of 5 statues on the lawn. However, a hail storm broke 4 statues from the sets, which she threw away. In the fourth year, she created and added a set containing a number of statues equal to the sum of the statues from the broken sets in the third year. At the end of the four years, how many turtle statues were on her front lawn?
A clerk can process some forms per hour. If 2400 forms must be processed in an 8-hour day, and you need to hire 12 clerks for that day, how many forms can one clerk process per hour?
A, B, and C are all different single-digit natural numbers. What is B that satisfies AB+CB=CC6?
300 persons can repair a road in 7 days, working 10 hours a day. In how many days will 500 persons, working 12 hours a day, complete the work?
The population of a town is 10,000. The population decreases annually at different rates for the following years: 8% in the first year, 10% in the second year, 12% in the third year, 15% in the fourth year, and 7% in the fifth year. What will be the population of the town after 5 years?
The average age of 17 persons in an office is 15 years. Out of these, the average age of 5 of them is 14 years and that of a certain number of persons is 16 years. The age of the 15th person is 41 years. How many persons have an average age of 16 years?
Wendy picked 20 roses, 15 lilies, and 10 daisies for her friend's wedding. She planned to make bouquets with 3 roses, 2 lilies, and 1 daisy in each bouquet. Unfortunately, 12 roses, 8 lilies, and 5 daisies wilted before the wedding. Considering the remaining flowers, how many complete bouquets can Wendy still create?
There are 7 trucks that have a certain number of boxes. There are 5 trucks that have 12 boxes. Each box holds 8 containers of oil. When all of the oil is evenly redistributed onto 10 trucks, each truck has 160 containers of oil. How many boxes do the 7 trucks have?
On a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. On the next day, orangeade was made by mixing the same amount of orange juice with some amount of water. On both days, all the orangeade that was made was sold. The revenue from selling the orangeade was the same for both days and the orangeade was sold at $0.30 per glass on the first day. The price per glass on the second day was $0.20. What is the ratio of the amount of water used on the second day to the first day?
A batsman in his 12th innings makes a certain score and thereby increases his average by 2 runs. His average after the 12th innings is 43, and he had never been 'not out'. What was his score in the 12th innings?
Michael has some cats and 3 dogs. He needs to pay a friend to watch them, who charges $13 a night per animal. Michael has to pay $65. How many cats does Michael have?
Lucy has 212 fish. She needs to buy _____ more fish to have 280 fish.
One fourth of one third of a part of a number is 10. 40% of that number is 120. What is the ratio of the part to the whole of the number?
Find the lcm of 23, a number, and 827. The lcm is 83. What is the second number?
When Woo-jun's age is 1 year less than 1/4 of his mother's age and his mother's age is 5 years less than 5 times Woo-jun's age, how old is Woo-jun now?
Zach wants to ride on the Ferris wheel and the roller coaster. The Ferris wheel costs 2.0 tickets, the roller coaster costs 7.0 tickets, and there is a discount for going on multiple rides. Zach also has a newspaper coupon for a free 1.0 ticket. He needed to buy 7 tickets to go on both rides. How much is the discount for going on multiple rides?
Riza was a certain age when her first son was born. Today the sum of their ages is 105, and her son is 40 years old. How old was Riza when her son was born?
Mike initially had x orange marbles. He gave Sam p% (where p is a percentage) of the marbles. How many orange marbles does Mike have left in terms of x and p?
Blake needs to prime and paint 5 rooms in his house. Each room will require a gallon of primer and a gallon of paint. Currently the primer is $30.00 a gallon and they are offering 20% off. The paint costs $25.00 a gallon and is not on sale. How much will he spend on paint and primer?
Find the sum of all Sophie Germain primes below one million, where a Sophie Germain prime is any positive prime number p for which 2p + 1 is also prime.
Three dietitians each prepared a lunch with a total of 40 calories. Dietitian A ate three-fourths from her meal, Dietitian B ate five-sixths, and Dietitian C ate half of her meal during lunch break. If the FDA recommends a maximum lunch intake of 25 calories for dietitians, how many more calories than the recommended amount was eaten collectively by the three dietitians?
Find the average of all the numbers between a certain number and 38 which are divisible by 4. The average is 22. What is the starting number?
In an examination, a student scores 3 marks for every correct answer and loses some marks for every wrong answer. He attempts all 30 questions and secures 130 marks. The number of questions he attempts correctly is 40. How many marks does he lose for each wrong answer?
There are 100 students in 3 sections A, B, and C of a class, with varying numbers of male and female students in each section. The average marks of all the 3 sections was 84. The average of B and C was 87.5. Additionally, the average marks of male students in section A is 10 points higher than the average marks of female students in the same section. Given this information, find the average marks of students in section A, as well as the average marks of male and female students in each section.
A village has three types of cultivated land: Type A, Type B, and Type C, for which the farm tax rates are 40%, 50%, and 60%, respectively. The tax department collected a total of $3840 through farm tax in the village. Mr. Willam, a farmer in the village, paid $480 for his Type B land and $600 for his Type C land as farm tax. The total land owned and taxable for Mr. Willam can be represented as A + B + C, while the village's total taxable land can be represented as Xa + Yb + Zc (where X, Y, and Z represent the total percent of each type of land in the village). Determine the percentage of Mr. Willam's total land (A + B + C) over the village's total taxable land (Xa + Yb + Zc).
In 1 week, an airplane pilot flew 1134 miles on Tuesday, 1475 miles on Thursday, and "x" miles on Wednesday. If the pilot flies the same number of miles for 4 weeks in a row, calculate the total miles flown on Wednesdays during this period.
Olivia and her mom were picking carrots from their garden. Olivia picked 20 carrots and her mother picked some. If only 19 of the carrots were good, and they had 15 bad carrots, how many carrots did Olivia's mother pick?
Two friends, Alice and Bob, are located in different time zones. When asked what the time is, Alice replied that the amount of time left in her day is 1/2 the time already completed. Meanwhile, Bob said that the amount of time left in his day is 1/3 of the time already completed in his time zone. If we know the length of Bob's day that has passed so far is 2 hours more than Alice's, determine the current time in each of their time zones.
At a certain food stand, the price of each apple is 40¢ and the price of each orange is 60¢. Mary selects a total of 10 apples and oranges from the food stand, and the average (arithmetic mean) price of the 10 pieces of fruit is 54¢. Mary must put back some oranges so that the average price of the pieces of fruit that she keeps is 50¢. How many oranges must Mary put back?
The cost price of a radio is Rs. 1500 and it was sold for some amount. The loss percentage is 11%. What is the selling price of the radio?
There are 4 different integers. The largest integer is 90, and the least possible value of the smallest integer is 13. What is the average (arithmetic mean) of these integers?
if the numerator of a fraction is increased by 20 % and its denominator is diminished by 25 % value of the fraction is 2 / 15 . find the original fraction ?
John decides to purchase dinner plates, dessert plates, forks, knives, spoons, and glassware for his home. The forks cost $25, the knives cost $30, the spoons cost $20, and the glassware set costs $35. The dinner plates cost 50% as much as the overall cost of silverware, while dessert plates cost 75% as much as the glassware set. John has a 10% discount on silverware items and a 15% discount on the dinner and dessert plates. How much did John pay for everything after applying the respective discounts?
Last year, the range of the annual yield on equal amount of investments in 100 mutual funds was $10,000. If the annual yield this year for each of the 100 mutual funds has improved by a certain percentage compared to last year, and the range of the annual yield on mutual funds this year is $11,500, what is the percentage improvement in the annual yield this year compared to last year?
A certain bus driver is paid a regular rate of $14 per hour for any number of hours that does not exceed a certain number of hours per week. For any overtime hours worked in excess of that number of hours per week, the bus driver is paid a rate that is 75% higher than his regular rate. Last week, the bus driver earned $982 in total compensation and worked 57.224489795918366 hours that week. What is the maximum number of hours per week the bus driver can work at his regular rate?
Eldora went to an office supply store and bought 15 boxes of paper clips and 7 packages of index cards for a total cost. Finn bought 12 boxes of paper clips and 10 packages of index cards for a total cost of 61.70 dollars. If the cost of one box of paper clips is 1.85 dollars, what was the total cost of Eldora's purchase?
Four equal circles are described about the four corners of a square so that each touches two of the others. If a side of the square is 14 cm, then what is the area enclosed between the circumferences of the circles?
A cattle train left Abuja traveling west six hours before a diesel train. This diesel train traveled in the opposite direction going 33 mph slower than the cattle train. At the same time, another diesel train left from the same station 2 hours later traveling east at a speed which was 12 mph faster than the cattle train. After 12 hours, the total distance covered by all three trains was 1860 miles. What were the speeds of each of the three trains?
Considering a reaction between C6H8O7 (citric acid) and NaHCO3 (sodium bicarbonate) to form Na3C6H6O7 (trisodium citrate), CO2 (carbon dioxide), and H2O (water). Calculate the mass percentage of C in C6H8O7, taking into account the stoichiometry of the reaction.
A rectangular grassy plot 110 m by 65 m has a gravel path 2.5 m wide all round it on the inside. The cost of gravelling the path at a certain rate per sq. meter is 595. What is the rate per sq. meter for gravelling the path?
Lou works out by running three miles on a circular track that is one-quarter of a mile long. His wife, Rosie, also runs on the same track at the same time as her husband. During their workout, Rosie circles the track 24 times. What is the ratio of Rosie's speed to Lou's speed?
Two articles were bought for a total of $50. The first article had a discount of 60%, and the second article had a discount of 45%. If the cost of the first article after the discount was twice the cost of the second article after the discount, what must be the marked price of each of the articles?
James takes up dancing for fitness. He loses twice as many calories per hour as he did when he was walking. He dances twice a day for .5 hours each time and he does this 4 times a week. He burned 300 calories an hour walking. How many calories does he lose a week from dancing?
A driver just filled the car's gas tank with 27 liters of gasohol, a mixture consisting of 5% ethanol and 95% gasoline. The car runs best on a mixture consisting of a certain percentage of ethanol and the rest gasoline. The driver needs to add 1.5 liters of ethanol into the gas tank for the car to achieve optimum performance. What is the desired percentage of ethanol in the mixture for optimum performance?
On a trip, a cyclist averaged a certain speed for the first 16 miles and 10 miles per hour for the remaining 16 miles. The cyclist returned immediately via the same route and took a total of 6.8 hours for the round trip. The average speed for the return trip was 10 miles per hour. What was the cyclist's average speed for the first 16 miles of the trip?