Datasets:
dfdsfgf
/
big_math_dataset

Dataset card Data Studio Files
xet
Community
1
question
stringlengths
3
1.14k
Of the 150 employees at company X, 50 are full-time, and 100 have worked at company X for at least a year. There are 20 employees at company X who aren’t full-time and haven’t worked at company X for at least a year. How many full-time employees of company X have worked at the company for at least a year?
Set S contains exactly 10 numbers and has an average (arithmetic mean) of 6.2. If one of the numbers in Set S is increased by 3, while all other numbers remain the same, what is the new average of Set S?
Each shelf of a bookcase contained 12 books. If the librarian took out 22 books and rearranged the remaining books so that all shelves but one contained 8 books and the last shelf contained 10 books, how many shelves does the bookcase have?
The average of first five prime numbers greater than 5 is?
Find the average of all prime numbers between 30 and 50
Of all the homes on Gotham Street, 1/3 are termite-ridden, and 5/8 of these are collapsing. What fraction of the homes are termite-ridden, but NOT collapsing?
The compound interest on a certain sum for 2 years at 10% per annum is $525. The simple interest on the same sum for double the time at half the rate percent per annum is:
Alex takes a loan of $8,000 to buy a used truck at the rate of 9 % simple Interest.Calculate the annual interest to be paid for the loan amount.
A shopkeeper sold an article offering a discount of 5% and earned a profit of 23.5%. What would have been the percentage of profit earned if no discount was offered?
617 + 6.017 + 0.617 + 6.0017 = ?
Pipe A fills a tank in 20 minutes. Pipe B can fill the same tank 4 times as fast as pipe A. If both the pipes are kept open when the tank is empty, how many minutes will it take to fill the tank?
John invests $x at the semi-annual constant compounded rate of 2 percent and also does $15,000 at the quarterly constant compounded rate of 4 percent. If the interests are the same after 1 year, what is the value of x??
In a function they are distributing noble prize. In how many ways can 3 prizes be distributed among 4 boys when a boy gets any no. of prizes?
The function g(j) is defined for integers j such that if j is even, g(j) = j/2 and if j is odd, g(j) = j + 5. Given that g(g(g(g(g(j))))) = 19, how many possible values for j would satisfy this equation?
13 buckets of water fill a tank when the capacity of each bucket is 42 litres. How many buckets will be needed to fill the same tank, if the capacity of each bucket is 6 litres?
A certain lab experiments with white and brown mice only. In one experiment, 2/3 of the mice are white. If there are 14 white mice in the experiment, how many brown mice are in the experiment?
During a Thanksgiving weekend, a car rental company rented seven-tenths of their vehicles, including two-fifths of the 4WDs that it had. If 40% of the vehicles are 4WDs, then what percent of the vehicles that were not rented were not 4WDs?
People standing in a straight line are wearing alternating colored shirts. The pattern of shirts begins with red, followed by green, blue, white and yellow. This pattern continues (red, green, blue, white and yellow) until it ends with a blue shirt. If there are more than 5 people in line, which of the following cannot be the number of people in the line?
The area of one square is x^2 + 10x + 25 and the area of another square is 4x^2 − 12x + 9. If the sum of the perimeters of both squares is 32, what is the value of x?
he number of sequences in which 10 players can throw a ball, so that the youngest player may not be the last is?
100 kg of a mixture containing milk and water in the ratio 11:5. How much more water is to be added to get a new mixture containing milk and water in the ratio 3:2?
In how many ways can the integer 48 be expressed as a product of two different positive integers?
In a 500 m race, the ratio of the speeds of two contestants A and B is 3 : 4. A has a start of 140 m. Then, A wins by:
A manufacturer of a certain product can expect that between 0.2 percent and 0.5 percent of the units manufactured will be defective. If the retail price is $2,500 per unit and the manufacturer offers a full refund for defective units, how much money can the manufacturer expect to need to cover the refunds on 20,000 units?
The difference of the areas of two squares drawn on two line segments in 32 sq. cm. Find the length of the greater line segment if one is longer than the other by 2 cm
A man's speed with the current is 20 kmph and speed of the current is 4 kmph. The Man's speed against the current will be
At a certain university, the ratio of the number of teaching assistants to the number of students in any course must always be greater than 3:50. At this university, what is the maximum number of students possible in a course that has 4 teaching assistants?
The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 480 sq cm. Find the area of the square?
Zachary is helping his younger brother, Sterling, learn his multiplication tables. For every question that Sterling answers correctly, Zachary gives him 3 pieces of candy. For every question that Sterling answers incorrectly, Zachary takes away two pieces of candy. After 8 questions, if Sterling had answered 2 more questions correctly, he would have earned 31 pieces of candy. How many of the 8 questions did Zachary answer correctly?
The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Re. 1. The sum (in Rs. ) is?
What is the probability that a man flipping ten fair coins flips at least two heads?
Three 6 faced dice are thrown together. The probability that no two dice show the same number on them is
If k,m ,and n are positive real numbers such that k(m+n) = 152, m(n+k) =162 , and n(k+m) = 170, then kmn is
Arjun started a business with Rs. 5,000 and is joined afterwards by Anoop with Rs.10, 000. After how many months did Anoop join if the profits at the end of the year are divided equally?
The average of 1st 3 of 4 numbers is 16 and of the last 3 are 15. If the sum of the first and the last number is 13. What is the last numbers?
The ratio of the volumes of two cubes is 216 : 343. What is the ratio of their total surface areas?
Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Five years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?
If n is an integer, f(n) = f(n-1) - n and f(4)=14. What is the value of f(6)?
Two men Amar and Bhavan have the ratio of their monthly incomes as 6:5. The ratio of their monthly expenditures is 3:2. If Bhavan saves one-fourth of his income, find the ratio of their monthly savings?
If the area of a square with sides of length 9 centimeters is equal to the area of a rectangle with a width of 3 centimeters, what is the length of the rectangle, in centimeters?
Last year Department Store X had a sales total for December that was 6 times the average (arithmetic mean) of the monthly sales totals for January through November. The sales total for December was what fraction of the sales total for the year?
If r is even and s is odd, which of the following is odd?
During 2001, a stock lost 80 percent of its value. During the following year, the stock's value increased by 100 percent. Which of the following is the percent change in the stock's value during those two years?
One night a certain hotel rented 3/4 of its rooms. including 2/3 of their air conditioned rooms. if 3/5 of its rooms were air conditioned, what percent of the rooms that were not rented were air conditioned?
In Town X, 64 percent of the population are employed, and 46 percent of the population are employed males. What percent of the employed people in Town X are females?
The age of father 6 years ago was four times the age of his son. Five years hence, father's age will be twice that of his son. The ratio of their present ages is:
The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?
Little Texas Drilling Company has three wells, each producing oil at a constant rate. Well A produces one barrel every two minutes. Well B produces one barrel every three minutes. Well C produces one barrel every four minutes. How many hours does it take Little Texas Drilling Company to produce 205 barrels of oil?
A man takes 5 hours 45 min in walking to a certain place and riding back. He would have gained 2 hours by riding both ways. The time he would take to walk both ways is
four mobsters have arrived at the theater for the premiere of the film “Goodbuddies.” One of the mobsters, Frankie, is an informer, and he's afraid that another member of his crew, Joey, is on to him. Frankie, wanting to keep Joey in his sights, insists upon standing behind Joey in line at the concession stand, though not necessarily right behind him. How many ways can the four arrange themselves in line such that Frankie’s requirement is satisfied?
What amount does Kiran get if he invests Rs.4500 at 10% p.a. compound interest for three years, compounding done annually?
Radha started a business, investing 75,000. After 3 months, Sunidhi joined her with an amount of 1,25,000 and after another six months Neha joined them with an amount of 1,50,000. Profit earned at the end of three years from when Radha started the business should be distributed in what ratio among Radha, Sunidhi and Neha respectively?
A number when divided by a divisor leaves a remainder of 24. When twice the original number is divided by the same divisor, the remainder is 11. What is the value of the divisor?
A, Band C enter into partnership. A invests 3 times as much as B and B invests two-third of what C invests. At the end of the year, the profit earned is Rs. 3300. What is the share of B ?
A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 24 seconds. What is the length of the goods train?
The ratio of two numbers is 3:4 and their sum is 49. The greater of the two numbers is?
The unit digit in the product (624 * 708 * 913 * 463) is:
(51+ 52 + 53 + ... + 100) = ?
In an electric circuit, two resistors with resistances A and B are connected in parallel. In this case, if r is the combined resistance of these two resistors, then the reciprocal of C is equal to the sum of the reciprocals of A and B. What is C in terms of A and B?
A library has an average of 570 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is:
If x-y=8, which of the following must be true? I. If x is negative, y must be negative II. Both x and y are positive III. If x is positive, y must be positive
Ajay had purchased a second hand scooter for 18,000 and spent Rs.1800 for repairs. After one year he wanted to sell the scooter. At what price should he sell it to gain 100/9%, if 100/11% is to be deducted at the end of every year on account of deprecation?
Find compound interest on Rs. 8000 at 15% per annum for 2 years 4 months, compounded annually
At Company K, 15 percent of the employees are secretaries and 60 percent are salespeople. If there are 45 other employees of Company K, how many employees does Company K have?
A ship 77 km from the shore, springs a leak which admits to 9/4 tonnes of water in 11/2 minutes. 92 tonnes of water would sink it. But the pumps can throw out 12 tonnes of water per hour. Find the average rate of sailing so that the ship may just reach the shore as it begins to sink.
On dividing a number by 56, we get 29 as remainder. On dividing the same number by 8, what will be the remainder ?
Total dinning bill for 5 people was $211.00.If they add 15% tip and divided the bill evenly ,approximate.What was each persons find share
he probability that a number selected at random from the first 50 natural numbers is a composite number is ?
If the positive integer x is a multiple of 7 and the positive integer y is a multiple of 6, then xy must be a multiple of which of the following? I. 8 II. 12 III 18
A grocer stacked oranges in a pile. The bottom layer was rectangular with 4 rows of 8 oranges each. In the second layer from the bottom, each orange rested on 4 oranges from the bottom layer, and in the third layer, each orange rested on 4 oranges from the second layer. Which of the following is the maximum number of oranges that could have been in the third layer?
A trumpet section includes four musicians. If they hold an audition to determine chair order within the section, and there are to be no ties, how many distinct chair orders can result?
A room is 6 meters 24 centimeters in length and 4 meters 32 centimeters in Width. Find the least number of square tiles of equal size required to cover the entire floor of the room.
How many days will there be from 28th January,1996 to 15th May,1996(both days included)?
A car ferry can hold up to 70 tons of cargo. What is the greatest number of vehicles that the ferry can carry if half the vehicles are cars with an average (arithmetic mean) weight of 0.75 tons and half of the vehicles are trucks with an average (arithmetic mean) weight of 6 tons?
Which of the following correctly lists the data sets in order of least to greatest standard deviation? I. 2, 2, 2, 2, 1 2 II. 42, 22, 32, 42, 32, 42 III. 30, 30, 32, 30, 31, 32
A man's speed with the current is 15 km/hr and the speed of the current is 2.5 km/hr. The man's speed against the current is:
In Country T, the unemployment rate among construction workers dropped from 16 percent on September 1, 1992, to 9 percent on September 1, 1996. If the number of construction workers was 20 percent greater on September 1, 1996, than on September 1, 1992, what was the approximate percent change in the number of unemployed construction workers over this period?
In a meeting of 4 representatives from each of 5 different companies, each person shook hands with every person not from his or her own company. If the representatives did not shake hands with people from their own company, how many handshakes took place?
It is being given that (2^32 + 1) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number?
A student has to obtain 33% of the total marks to pass. He got 175 marks and failed by 56 marks. The maximum marks are?
Rosy has 8 shirts and 9 pants. How many clothing combinations does Barbara have, if she doesn’t wear 6 specific shirts with 5 specific pants?
A certain set of numbers has an average (arithmetic mean) of 50 and a standard deviation of 50.5. If c and n, two numbers in the set, are both within 2 standard deviations from the average, then which of the following could be the sum of c and n?
Seven machines at a certain factory operate at the same constant rate. If six of these machines, operating simultaneously, take 42 hours to fill a certain production order, how many fewer hours does it take all seven machines, operating simultaneously, to fill the same production order?
How many cubes of 5 cm edge can be put in a cubical box of 1 m edge.
A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.18000. A's share is?
X starts a business with Rs.45000. Y joins in the business after 7 months with Rs.30000. What will be the ratio in which they should share the profit at the end of the year?
Brenda caught three less than twice as many fish as Olga. Together they caught 33 fish. How many fish did Olga catch?
The toll for crossing a certain bridge is $0.75 each crossing. Drivers who frequently use the bridge may instead purchase a sticker each month for $11.00 and then pay only $0.30 each crossing during that month. If a particular driver will cross the bridge twice on each of x days next month and will not cross the bridge on any other day, what is the least value of x for which this driver can save money by using the sticker?
A train 150 m long running at 72 kmph crosses a platform in 25 sec. What is the length of the platform?
A train speeds past a pole in 11 seconds and a platform 120 m long in 22 seconds. Its length is?
Pavan travelled for 15 hours. He covered the first half of the distance at 30 kmph and remaining half of the distance at 25 kmph. Find the distance travelled by Pavan.
The ratio of radius of a circle and the side of a square is 2 : 13. Find the ratio of their areas:
Sonika deposited Rs.8000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 2% more. She would get how much?
A contractor hires 100 men to finish a job in 50 days. After 24 days, n men leave. After some more days, the contractor hires 2n more men to complete the job on time. For how many days did these 2n men work?
A $500 investment and a $1,500 investment have a combined yearly return of 13 percent of the total of the two investments. If the $500 investment has a yearly return of 7 percent, what percent yearly return does the $1,500 investment have?
Three people with different speeds of 4.5kmph,0.5kmph and 8kmph move around a circular track of 11km.at what time they meet each other?
January 1, 2007 was Monday. What day of the week lies on Jan. 2, 2008?
What is the smallest number which when diminished by 16, is divisible 4, 6, 8 and 10?
The probability that event M will not occur is 0.6 and the probability that event R will not occur is 0.6. If events M and R cannot both occur, which of the following is the probability that either event M or event R will occur?
To save money, Arkadelphia Cream Cheese will reduce each dimension of its rectangular box container (which is entirely full of cream cheese) by 60%, and reduce the price it charges its consumers by 60% as well. By what percentage does this increase the price-per-cubic-inch that each consumer will pay for cream cheese?