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Bob grew corn in his garden this year and ended up with 50 bushels. He gave away corn to his friends, and after giving away corn, Bob has 357 ears of corn left. If each bushel contained 14 ears of corn, how many bushels did Bob give to his friend Jerry?
Mary earns $46.0 cleaning a home. How many dollars did she earn, if she cleaned 276.0 homes?
An equal number of desks and bookcases are to be placed along a library wall that is 15 meters long. Each desk is 2 meters long, and each bookshelf is 1.5 meters long. The school principal requires that the ratio of desks to bookcases must be 3:2 in order to cater to the needs of students.The maximum possible number of desks and bookcases adhering to this ratio are to be placed along the wall, then the space along the wall that is left over will be how many meters long?
Sandy had 26 pet fish. She bought some more fish and now has 32 pet fishes. How many more fish did Sandy buy?
Adam needed to climb ninety-six stair steps to reach the rooftop. He already climbed seventy-four. How many stair steps do left for Adam to climb now?
4 women can complete a work in 7 days and 10 children take 14 days to complete the work . how many days will 5 women and 10 children take to complete the work ?
The tax on a commodity is diminished by 16%, and its consumption increased by some percentage. The effect on revenue is 3.4%. By what percentage did the consumption increase?
The price of a car is marked at $12,000. If the car has a certain discount, followed by discounts of 15% and 5%, a customer buys the car at $7,752. What is the percentage of the first discount?
Katie and her sister combined the candy they received for Halloween. Katie had some pieces of candy while her sister had 6. They ate 9 pieces the first night, and they have 7 pieces left. How many pieces of candy did Katie have?
Marla has to spend some time driving one way to her son's school, then 70 minutes attending parent-teacher night, then the same amount of time driving home. Marla spends 110 minutes on this errand in total. How many minutes does Marla spend driving one way to her son's school?
Michael has two brothers. His oldest brother is 1 year older than a certain multiple of Michael's age when Michael was a year younger. His younger brother is 5 years old, which is a third of the age of the older brother. Their combined age is 28. What is the multiple of Michael's age when he was a year younger that relates to the oldest brother's age?
Jungkook picked 25 persimmons. If 3 times the persimmons that Hoseok picked is 4 less than the number of persimmons that Jungkook picked, how many persimmons did Hoseok pick?
Alexis has four times as many mangoes as Dilan and Ashley combined. If Alexis has 60 mangoes, how many mangoes does all of them have combined?
Rahim bought books from six different shops across three countries. He purchased 32 books for Rs. 1500 at the first shop in India, and 60 books for $120 from the second shop in the United States. In the third shop, also in the United States, he bought 54 books for $200. At the fourth shop in Canada, Rahim purchased 28 books for CAD 980. He then bought 20 books for Rs. 800 in the fifth shop in India, and finally, he purchased 45 books for CAD 600 at the sixth shop in Canada. What is the average price Rahim paid per book in each currency?
Sara's high school basketball team won some games. They were defeated during 4 games and played a total of 16 games. How many games did they win?
If some machines can finish a job in 40 days, then 4 more machines would be needed to finish the job in one-fourth less time. How many machines were initially working on the job?
The salary of a labourer increases consistently by 40% per year. If his present salary is Rs. 3000, what will his salary be after 3 years?
Calculate the area of a triangle, if one side is 30 cm, and the other two sides are 21 cm and 10 cm. What is its area?
Zack has traveled to 5/2 times the number of countries Patrick traveled to. Patrick traveled to 4/3 times the number of countries Joseph traveled to. Joseph traveled to 1/3 the number of countries George traveled to. George traveled to 3/5 of the total countries Alex traveled to. If Alex traveled to 30 countries, how many countries did Zack travel to?
the maximum number of students among them 2500 pens and 1575 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is:
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.
The present worth of some amount due in 2 years at 4% per annum compound interest is Rs. 781.25. What is the amount due in 2 years?
At Billy's Restaurant, three families came in to eat. The first family consisted of two adults and three children, the second family consisted of four adults and two children, and the third family consisted of three adults and four children. If an adult meal cost eight dollars and a child's meal costs five dollars, and they also ordered drinks which cost two dollars each person, how much was the total bill, excluding a 15% service tax?
A number divided by 64 leaves a remainder of 37. When the same number is divided by some value, the remainder is 1. What is the value that the number is divided by to get a remainder of 1?
Nelly wants to buy pizza for herself and her 14 friends. Each pizza costs $12 and can feed 3 people. If Nelly earns $4 a night babysitting the neighbors' kids, how many nights will she have to babysit to afford the pizza?
For a fundraiser, Nellie needs to sell 45 rolls of gift wrap. So far, she has sold 1 roll to her grandmother, 10 rolls to her uncle, and 6 rolls to a neighbor. How many more rolls of gift wrap does Nellie need to sell?
in a hostel there were 100 students . to accommodate 25 more students the average is decreased by rupees 10 . but total expenditure increased by rs . 500 . find the total expenditure of the hostel now ?
A train, 800 meters long, is running with a speed of 78 km/hr. It crosses a tunnel in 1 minute. What is the length of the tunnel in meters?
The greatest common divisor of (b - 3)!, (b - 1)!, (b + 1)!, and (b + 5)! is 72576. What is the value of b?
Isabella’s hair is 18 inches long. She got a haircut, and now her hair is 9 inches long. _____ inches of Isabella’s hair got cut off.
If the average of 9 digits is 18 and the average of 4 of them is 8, calculate the average of the remaining 5 numbers?
A total of 32,000 dollars is invested in 2 municipal bonds. One of the bonds pays a certain interest rate and the other pays 6.25 % simple interest. The investor wants an annual interest income of 1900 dollars from the investments and he invested 20000.0 dollars in the bond with the unknown interest rate. What is the interest rate of the bond in which he invested 20000.0 dollars?
Tap A runs 3 liters of water per minute into a bucket that has a total volume of 36 liters. Tap B fills a certain portion of the bucket in 20 mins. Working together, both taps fill the bucket in 10 minutes. What portion of the bucket does tap B fill in 20 minutes?
Albert's monthly earnings rise by a certain percentage, and he would earn $560. If, instead, his earnings rise by 21%, he would earn $564.67 this month. What is the initial percentage increase in his earnings?
A certain bag contains 60 balls — 22 white, 18 green, 2 yellow, 15 red, and 3 purple. If a ball is to be chosen at random, what is the probability that the ball will be neither red nor purple?
what is the largest 4 digit number exactly divisible by 35 ?
a walks at 10 kmph and 5 hours after his start , b cycles after him at 20 kmph . how far from the start does b catch up with a ?
A jar contains 6 black and 2 white balls. If you pick two balls at the same time, what's the probability that one ball is black and one is white?
Henry organized a party and spent the following amounts on various items: 1. Food: - $17.45 on pizza - $12.80 on sandwiches - $9.95 on fruit trays 2. Drinks: - $12.35 on soda - $8.50 on juice - $6.99 on bottled water 3. Desserts: - $10.25 on cookies - $15.49 on a cake - $7.25 on ice cream 4. Decorations: - $11.65 on balloons - $8.99 on streamers - $5.46 on tablecloths How much did Henry spend in total for the party?
Peter's average (arithmetic mean) test score on 6 tests is 78, with all scores being between 70 and 90. The school has a grading policy that allows students to exclude their lowest score when calculating their final average. What must be Peter's score on a 7th test for his average score, excluding the lowest score, on the 7 tests to be 80, given that his lowest score cannot be lower than 70 and his highest score cannot be higher than 90?
what is the probability of randomly selecting one of the shortest diagonals from all the diagonals of a regular decagon ( 10 - sided polygon ) ?
The distance from the x-axis to point P is half the distance from the y-axis to point P. The coordinates of P are (x, -9). How many units is point P from the y-axis?
All 20 of Grant's baby teeth have fallen out, and he has a total of $54 from the tooth fairy. Every time he lost a tooth, he put it under his pillow for the tooth fairy, except for one that he dropped on the way home from school and another he swallowed accidentally. How much money did the tooth fairy leave Grant when he lost his first tooth?
Danny collects bottle caps and wrappers. He found 58 bottle caps and some wrappers at the park. Now he has 11 wrappers and 12 bottle caps in his collection, and he has 1 more bottle cap than wrapper. How many wrappers did he find at the park?
A 100-litre mixture of milk and water contains 36 litres of milk. 'x' litres of this mixture is removed and replaced with an equal quantum of water. If the process is repeated once, then the concentration of the milk stands reduced at 16%. What is the value of x?
Matthew and his brother Shawn played swimming-pool-basketball. Each basket was worth 3 points. Matthew scored some points, and Shawn scored 6 points. The total number of baskets made during this game was 5. How many points did Matthew score?
A train which has 500 m long is running at 120 kmph. In what time will it cross a person moving at 20 kmph in the same direction?
if a - b = 3 and a ( power 2 ) + b ( power 2 ) = 29 , find the value of ab .
The denominator of a fraction is 7 greater than the numerator. If the numerator and the denominator are increased by 1, the resulting fraction is equal to 11/17. What is the value of the original fraction?
Walter works 5 days a week in a fast-food chain and earns $5 per hour. Since he is a working student, he can only work 4 hours a day and allocates 3/4 of his weekly earning for his schooling. How much does he allocate for school?
A store offers variable discounts for different types of fruits and other items. The discounts are as follows: a $2 discount for every $10 purchase of peaches, a $3 discount for every $15 purchase of apples, a $1.5 discount for every $7 purchase of oranges, and a $4 discount for every $20 purchase of grapefruit. Additionally, if Kataleya buys at least 100 peaches, 50 apples, and 100 oranges, she gets a special bundled discount of $10 off her total purchase. Kataleya went to the store and bought 400 peaches sold at forty cents each, 150 apples sold at sixty cents each, 200 oranges sold at fifty cents each, and 80 grapefruits sold at one dollar each. Calculate the total amount of money she paid at the store for the fruits and other items, taking into account the individual discounts, the bundled discount, and the condition for achieving the bundled discount.
An 8000 liter tank, half-full of water is being filled from a pipe with a certain flow rate every 2 minutes. At the same time, the tank is losing water from two drains at a rate of 1 kiloliter every 4 minutes and every 6 minutes. It takes 48 minutes to fill the tank completely. What is the flow rate of the pipe?
A larger cube has a certain volume and in the cube, there are 343 smaller cubes such that their volume is 1 cubic inch. The difference between the surface areas' sum of the 343 smaller cubes and the surface area of the larger cube is 1764 square inches. What is the volume of the larger cube in cubic inches?
Janeth bought 5 bags of round balloons with 25 balloons in each bag, 4 bags of long balloons with 35 balloons in each bag, and 3 bags of heart-shaped balloons with 40 balloons in each bag. While blowing up the balloons, 5 round balloons, 7 long balloons, and 3 heart-shaped balloons burst. How many balloons are left?
3 cloves of garlic can repel a certain number of vampires, 8 vampire bats or 3 wights. How many cloves of garlic are needed to repel 30 vampires, 12 wights and 40 vampire bats if 72 cloves are required?
Blake filled a bucket with 0.8 gallon of water . Later , he poured out 0.2 gallon of the water . How much water is in the bucket ?
Federal guidelines recommend eating at least 2 cups of vegetables per day. From breakfast on Sunday to a certain day, Sarah has eaten some cups of vegetables. Sarah needs to eat 3 cups per day of her vegetables in order to meet her daily minimum requirement for the week. Until which day has Sarah eaten vegetables?
Lawrence county has 313473 kids. During summer break, some kids stay home and the rest go to camp. 38608 kids go to the camp during the break. How many kids stay home during the break?
The average age of 15 students of a class is 15 years. Out of these, the average age of some students is 14 years and that of the other students is 16 years. The age of the 15th student is 15 years. How many students have an average age of 14 years?
Bruce and Anne can clean their house in 4 hours working together at their respective constant rates. If Anne's speed were changed, they could clean their house in 3 hours working at their respective rates. It currently takes Anne 12 hours to clean the house on her own. What is the ratio of Anne's speed in the second scenario to her speed in the first scenario?
Calculate the average of all the numbers between a certain number and 27 which are divisible by 2. The average is 19. What is the starting number?
On a track for remote-controlled racing cars, racing car A completes the track in 28 seconds, while racing car B completes it in 24 seconds. If they both start at the same time, after how many seconds will they be side by side again?
Bertha plays tennis. Every ten games, one of her tennis balls wears out. Every five games, she loses a ball. Additionally, for every six games played, she lends two balls to her partner, and for every eight games, the partner returns one less ball than the previous return (starting with two balls returned after the first return). Every four games, she buys a canister of three balls. She started with two balls and gave one to her partner. After twenty games, how many tennis balls does she have?
Elois needs 4 bananas to make 1 loaf of banana bread. On Monday, she makes 3 loaves of banana bread. On Tuesday, she makes some loaves of banana bread. She used 36 bananas to make all the banana bread. What is the ratio of the number of loaves she made on Tuesday to the number she made on Monday?
a certain telescope increases the visual range at a particular location from 100 kilometers to 150 kilometers . by what percent is the visual range increased by using the telescope ?
A vet was weighing 3 cats. The first weighed 2 pounds. The second weighed 7 pounds and the last weighed 4 pounds. What is their combined weight?
A can do a piece of work in 20 days. B can do the work in 35 days. In how many days will they complete the work together?
Carter can read half as many pages as Lucy in 1 hour. Lucy can read 20 more pages than Oliver in 1 hour. Oliver can read 40 pages. How many pages can Carter read in 1 hour?
A coat in a certain store is priced at $500. Over a period of 3 months, the store owner decides to reduce the price in the following sequence: in the first month, the price is reduced by 10%, in the second month, it is further reduced by 15%, and in the third month, the price is again reduced by an additional 20%. Additionally, there are different taxation rates applied to the reduced prices each month: 5% in the first month, 8% in the second month, and 6% in the third month. Calculate the effective price of the coat after the 3 months, taking into account the price reductions and taxation rates. What is the total percent reduction in price from the original amount, including the effects of taxation?
Lavender is making punch for the school dance. She mixes 3 parts lemonade with some parts cranberry juice. She wants to fill a 72 cup bowl and needs 18 more cups of cranberry juice than lemonade. How many parts of cranberry juice does she mix?
Think of a number, divide it by 5 and add 8 to it. The result is 61. What is the number thought of?
A scale 6 ft. 8 inches long is divided into 4 equal parts. What is the length of each part?
if ' a ' and ' b ' are non - zero numbers such that their sum is 6 times the product , what is the value of 1 / a + 1 / b ?
Steve's new book sells some copies. He got an advance to pay for 100,000 copies. He gets $2 for each copy of the book sold. His agent takes 10% of that. He kept $1,620,000 not counting the money from the advance. How many copies did his book sell?
A train 165 meters long running at a certain speed takes 32.99736021118311 seconds to cross a bridge 660 meters in length. What is the speed of the train in kmph?
Saleem bought 4 baskets with a certain average cost. If Saleem also buys the fifth basket with the price of $8, the average (arithmetic mean) price of those 5 baskets is $4.8. What was the average cost of the initial 4 baskets?
Find the total number of prime factors in the expression (2)^17 x (3)^13 x (5)^11 x (7)^9 x (11)^7 x (13)^5 x (17)^3 x (19)^2
Jake has $5000. He spends some money on a new motorcycle, and then spends half of what's left on a concert ticket. Jake then loses a fourth of what he has left. He has $825 left. How much did Jake spend on the motorcycle?
Let there be three numbers, A, B, and C, such that the sum of A and B is 50, and two times the difference of B and C is 20. Also, consider the sum of A and C to be S. Determine the values of A, B, and C along with the sum S.
Tom uses 10 weight plates on an exercise machine. Each weight plate has a certain weight, and the exercise machine uses special technology to make the weights 20% heavier on the lowering portion. The weights felt 360 pounds when being lowered. How much does each weight plate weigh?
A store is comparing their profits throughout the year. They had profits of $1,500 in the first quarter of the year, some amount in the third quarter, and $2,000 in the fourth quarter. Their annual profits are $8,000. How much profit, in dollars, did they make in the third quarter?
In a sample of 800 high school students in which all students are either freshmen, sophomores, juniors, or seniors, 22 percent are juniors and a certain percentage are not sophomores. There are 160 seniors. There are 64 more freshmen than sophomores among the sample of students. What percentage of the students are not sophomores?
A train 120 meters long is travelling at 45 km/hr and can cross a bridge of 255 meters in a certain amount of time. How many seconds does it take for the train to cross the bridge?
You collect pens. You started out with 25 pens. Mike gave you another 22 pens. Since her father makes pens, Cindy decided to double your pens. You gave Sharon some pens. You have 75 pens at the end. How many pens did you give to Sharon?
The number 91 is equal to the sum of the cubes of two integers. What is the product of those integers?
To win a brand new Bible at Tom Sawyer's Sunday school, a pupil has to win 10 yellow tickets; each yellow ticket is obtained by trading in 10 red tickets; each red ticket is obtained by trading in 10 blue tickets; and blue tickets are earned by memorizing two Bible verses. Tom Sawyer has traded various toys and treasures of his with his friends until he has gathered some yellow, 3 red, and 7 blue tickets. He needs 163 more blue tickets to win a new Bible. How many yellow tickets does Tom currently have?
The length of a rectangle is 5 more than the width. What are the dimensions of the rectangle if the perimeter is 34?
In a coconut grove, (x + 4) trees yield 60 nuts per year, x trees yield 120 nuts per year, and (x - 4) trees yield 180 nuts per year. If x is 8, what is the average yield per year per tree?
There were 180 apples in each crate. 12 such crates of apples were delivered to a factory. 160 apples were rotten and had to be thrown away. The remaining apples were packed into boxes of 20 apples each. How many boxes of apples were there?
A batsman scores 100 runs in the 11th inning, hitting 12 boundaries (fours) and 2 sixes, with a strike rate of 130. He also takes 1 wicket in the same inning. This performance increases his batting average by 5 runs per inning and his bowling average reduces by 3 runs per wicket. Calculate his new overall career batting and bowling averages after the 11th inning, considering his performances in the mentioned categories.
The cross-section of a stream is a trapezium in shape. The stream is 10 m wide at the top and the area of cross-section is 640 sq m. The stream has a certain depth and the width at the bottom is 6 m. What is the depth of the stream?
A person borrows 20000 for a certain number of years at 8% p.a. simple interest. He immediately lends it to another person at 9% p.a. for the same number of years. His gain in the transaction per year is 200. How many years did he lend the money for?
A man buys some liters of liquid which contains 25% of the liquid and the rest is water. He then mixes it with 90 liters of another mixture with 30% of liquid. The percentage of water in the new mixture is 72.63157894736842%. How many liters of the first liquid did he buy?
A company invited 47 people to a luncheon, but some of them didn't show up. The tables they had held 5 people each. They needed 8 tables. How many people didn't show up?
For Eva's birthday party, her mom got 50 balloons, 30 of which are standard size and require 50cm³ of helium to float high enough to touch the ceiling. The remaining 20 are large, and each needs 75cm³ of helium to reach the same height. Her mom has 1800cm³ of helium at her disposal and can fill any remaining balloon with ordinary air. If she used up all the helium and inflated every balloon, how many more balloons are touching the ceiling than not?
How many four-digit numbers are multiples of 5, multiples of 6, and multiples of 2 at the same time?
An object thrown directly upward is at a height of h feet after t seconds, where h = -14(t - 3)^2 + q. The object is at a height of 94 feet 2 seconds after it reaches its maximum height. What is the value of q?
a jar contains 3 black , 3 white and 1 green balls . if you pick two balls at the same time , what ' s the probability that one ball is black and one is white ?
A bag consists of 20 marbles, of which some are blue, 9 are red, and the remainder are white. If Lisa is to select a marble from the bag at random, the probability that the marble will be red or white is 0.75. How many blue marbles are in the bag?
The length of a rectangular floor is more than its breadth by 250%. A diagonal of the floor is 13 m long. If Rs. 600 is required to paint the floor at the rate of Rs. 10 per sq m, and there is an extra charge of Rs. 2 per linear meter for painting along the diagonal, then what would be the length of the floor?