Datasets:
dfdsfgf
/
big_math_dataset

Dataset card Data Studio Files
xet
 Community
1
question
stringlengths
3
1.14k
The water level in a rectangular swimming pool measuring 40 feet by 25 feet is to be lowered by 6 inches. How many gallons of water must be removed? (1 cu ft = 7.5 gallons)
Two pipes X and Y can separately fill a cistern in 18 and 24 hours respectively. If they are turned on alternately for one hour each, how long will it take to fill the cistern?
The ages of two persons differ by 20 years. If 5 years ago, the elder one be 5 times as old as the younger one, their present ages (in years) are respectively
If Teena is driving at 55 miles per hour and is currently 7.5 miles behind Joe, who is driving at 40 miles per hour in the same direction then in how many minutes will Teena be 22.5 miles ahead of Joe?
A team of eight entered for a shooting competition. The best marks man scored 82 points. If he had scored 92 points, the average scores for. The team would have been 84. How many points altogether did the team score?
Alice took out a charge account at the General Store and agreed to pay 3% simple annual interest. If she charges $40 on her account in January, how much will she owe a year later, assuming she does not make any additional charges or payments?
In an election between two candidates, 10% of votes are were declares invalid. First candidate got 10800 votes which were 60% of the total valid votes . The total number of votes enrolled in that election was:
Tough and Tricky questions: Work/Rate Problems. A group of 4 junior lawyers require 2 hours to complete a legal research assignment. How many hours would it take a group of three legal assistants to complete the same research assignment assuming that a legal assistant works at two-thirds the rate of a junior lawyer? So...
A train running at the speed of 30 km/hr crosses a pole in 9 sec. What is the length of the train?
In a certain pond, 30 fish were caught, tagged, and returned to the pond. A few days later, 50 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond?
John throws a coin until a series of four consecutive heads or three consecutive tails appears. What is the probability that the game will end after the fifth throw?
A certain stock exchange designates each stock with a 1, 2 or 3 letter code, where each letter is selected from the 6 letters of the alphabet. If the letters may be repeated and if the same letters used in a different order, constitute a different code, how many diff stocks is it possible to designate with these codes?
In a Don Bosco college students, 80 percent are third year students and 90 percent are not second-year students. What fraction of those students who are not third-year students are second-year students?
Lagaan is levied on the 60 percent of the cultivated land. The revenue department collected total Rs. 3,64,000 through the lagaan from the village of Mutter. Mutter, a very rich farmer , paid only Rs.480 as lagaan. The percentage of total land of Mutter over the total taxable land of the village is:
Raman mixed 24 kg of butter at Rs. 150 per kg with 36 kg butter at the rate of Rs. 125 per kg. At what price per kg should he sell the mixture to make a profit of 40% in the transaction?
What is the color code for a 220 omega.gif 5% resistor?
52 is to be divided into two parts such that the sum of 10 times the first and 22 times the second is 780. The bigger part is :
A man whose speed is 8 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 3 kmph, find his average speed for the total journey ?
How many kg of pure salt must be added to 100kg of 10% solution of salt and water to increase it to a 25% solution?
In the equation A + B + C + D + E = FG where FG is the two digit number whose value is 10F + G and letters A, B , C , D , E, F and G each represent different digits. If FG is as large as possible. What is the value of G?
Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
A boat can move upstream at 25 kmph and downstream at 35 kmph, then the speed of the current is?
An amount of money is to be distributed among Faruk, Vasim and Ranjith in the ratio 3 : 3 : 7. If Vasims share is Rs. 1500, what is the difference between Faruk's and Ranjith's shares?
A train 110m long is running at 50kmph. In how much time will it pass a platform 210m long?
A man sitting in a train which is traveling at 80 kmph observes that a goods train, traveling in opposite direction, takes 9 seconds to pass him. If the goods train is 280 m long, find its speed.?
A certain bus driver is paid a regular rate of $16 per hour for any number of hours that does not exceed 40 hours per week. For any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75% higher than his regular rate. If last week the bus driver earned $976 in total compensation,...
Look at this series: 53, 53, 40, 40, 27, 27, ... What number should come next?
A train running at the speed of 60 km/hr crosses a pole in 9 sec. What is the length of the train?
In 2008, a certain factory produced 40% more widgets than it did in 2007, and its production in 2009 was 130% of its production in 2008. By approximately what percent would its production need to decrease the following year for the factory to produce the same number of widgets it did in 2007?
If a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is
A student multiplied a number by 3/5 instead of 5/3. What is the percentage error.
Bert and Rebecca were looking at the price of a condominium. The price of the condominium was 40% more than Bert had in savings, and separately, the same price was also 75% more than Rebecca had in savings. What is the ratio of what Bert has in savings to what Rebecca has in savings.
If population of certain city increases at the rate of 3%. If population in 1981 was 138915, then population in 1980 was?
The distance between West-Town to East-Town is 15 kilometers. Two birds start flying simultaneously towards one another, the first leaving from West-Town at a speed of 4 kilometers per minute and the second bird, leaving from East-Town, at a speed of 1 kilometers per minute. What will be the distance, in kilometers, be...
A dealer purchased an article at 3/4 of its list price and sold 50% more than the list price. Find his gain percent?
What number comes next in this Number series. 7 8 5 5 3 4 4 ? *Hint: check calende
Find the middle one when The sum of three consecutive even numbers is 57?
The actual area of a rectangle is 60 Cm2, but while measuring its length a student decreases it by 20% and the breadth increases by 25%. The percentage error in area, calculated by the student is :
Three partners A,B,C starts a business. Twice A's capital is equal to thrice B's capital and B's capital is four times C's capital. Out of a total profit of Rs.13000 at the end of the year, B's share is
The hour hand of a watch rotates 30 degrees every hour. How many complete rotations does the hour hand make in 6 days?
A reduction of 30% in the price of oil enables a house wife to obtain 6kgs more for Rs.940, what is the reduced price for kg?
A gets 3 times as much money as B gets, B gets only Rs.25 more then what C gets. The three gets Rs.675 in all. Find the share of B?
In a 1000 m race, A beats B by 200 meters or 25 seconds. Find the speed of B?
A copy machine, working at a constant rate, makes 35 copies per minute. A second copy machine, working at a constant rate, makes 65 copies per minute. Working together at their respective rates, how many copies do the two machines make in half an hour ?
A project manager needs to select a group of 3people from a total of 3 men and 3 women. How many possible group combinations exist such that no group has all women?
In how many ways can Ram choose a vowel and a constant from the letters of the word ALLAHABAD?
40% of a number is more than 20% of 650 by 190. Find the number?
A train with a length of 100 meters, is traveling at a speed of 72 km/hr. The train enters a tunnel 2.9 km long. How many minutes does it take the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?
Distance between A and B is 48 miles. Two men started walking from A and B at the same time towards each other. The person who started from A traveled uniformly with average speed 3 mph. While walking, the other man travels uniformly at 4 mph, but takes a 30-minute rest every other hour. When will they meet each other?
Walking with 4/5 of my usual speed, I miss the bus by 5 minutes. What is my usual time?
Six years ago Anita was P times as old as Ben was. If Anita is now 17 years old, how old is Ben now in terms of P ?
An article is bought for Rs.675 and sold for Rs.675, find the gain percent?
What will come in place of (a) in the following expression? a - 796.21 + 498.05 = 215.50 – 225.01
A man rows his boat 95 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
An alloy weighing 20 ounces is 70 percent gold. How many ounces of pure gold must be added to create an alloy that is 70 percent gold?
Riley had 21 green marbles. Then she bought 5 bags of blue marbles. There were 9 marbles in each bag. How many marbles does Riley have now?
In a certain state, gasoline stations compute the price per gallon p, in dollars, charged at the pump by adding a 2 percent sales tax to the dealer's price per gallon d, in dollars, and then adding a gasoline tax of $0.18 per gallon. Which of the following gives the dealer's price per gallon d in terms of the price per...
Given 2x + y + z = 3 and 5x + 3y + z = 10, what is the value of x + y - z?
If x^2+(1/x^2)=8, x^4+(1/x^4)=?
Last year 30 members of a certain club traveled to England, 26 members traveled to France, and 32 members traveled to Italy. Last year no members of the club traveled to both England and France, 6 members traveled to both England and Italy, and 11 members traveled to both France and Italy. How many members of the club ...
A man sells a car to his friend at 10% loss. If the friend sells it for Rs.54000 and gains 20%, the original C.P.of the car was :
The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is
A customer asks for the production of x number of goods. The company produces y number of goods daily. Out of which z% are units for sale. The order will be completed in :
Two trains of length 100 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
Jerry’s average (arithmetic mean) score on the first 3 of 4 tests is 78. If Jerry wants to raise his average by 2 points, what score must he earn on the fourth test?
The area of a square is 4096 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square.
Steve traveled the first 2 hours of his journey at 40 mph and the last 3 hours of his journey at 60 mph. What is his average speed of travel for the entire journey?
In how many different number of ways 4 boys and 2 girls can sit on a bench?
A merchant sells an item at a 20% discount, but still makes a gross profit of 25 percent of the cost. What percent of the cost would the gross profit on the item have been if it had been sold without the discount?
A committee of 4 is to be selected from among 5 boys and 6 girls. I how many ways can this be done if the committee is to consist of at-least one Girl? what is the answer choice and how?
A family made a down payment of $50 and borrowed the balance on a set of encyclopedias that cost $550. The balance with interest was paid in 20 monthly payments of $30 each and a final payment of $19. The amount of interest paid was what percent of the amount borrowed?
Which is the middle even number between 6 and 14?
A bag consists of 20 marbles, of which 5 are blue, 9 are red, and the remainder are white. If Lisa is to select a marble from the bag at random, what is the probability that the marble will be red or white?
A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 38 years now, the son's age four years back was?
Kim is taking a math class, and the teacher gives a multiple choice test consisting of 8 questions. If each question has 3 answer choices, and Kim answers every question, in how many different ways can she complete the test?
Exactly four sides of a certain 10-sided die are red. What is the probability that Kumar rolls the die 3 times and the die lands with a red side up for the first time on the third roll?
A certain number when divided by 39 leaves a remainder 20, what is the remainder when the same number is divided by 13?
Two numbers are in the ratio of 5:7. If 12 is subtracted from each number, they are in the ratio of 11:17. What are the two numbers?
A space shuttle orbits the earth at about 12 kilometers per second. This speed is equal to how many kilometers per hour?
The price of a car is marked at $12,000. If the car has successive discounts of 20%, 10% and 5%, then at what price does a customer buy the car?
The C.P of 15 books is equal to the S.P of 18 books. Find his gain% or loss%?
During a sale, the price of a pair of shoes is marked down 20% from the regular price. After the sale ends, the price goes back to the original price. What is the percent of increase to the nearest percent from the sale price back to the regular price for the shoes?
The MegaTek Corporation is displaying its distribution of employees by department in a circle graph. The size of each sector of the graph representing a department is proportional to the percentage of total employees in that department. If the section of the circle graph representing the manufacturing department takes ...
A train 990 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
On a Rs 10000 payment order, a person has a choice between 3 successive discounts of 10%, 10% and 30% and 3 successive discounts of 40%, 5% and 5%. By choosing the better offer, he can save :
Two cars are traveling towards each other. If car A is traveling at a speed of 50 mph and car B is traveling 12% slower, how much time will it take the cars to meet if the initial distance between the two is 900 miles?
If 18 persons can build a wall 140 m long in 42 days, the number of days that 30 persons will take to complete a similar wall 100 m long, is?
There are 35 students in a hostel. If the no. of students increases by 7, the expenses of the mess increase by Rs.42/day while the average expenditure per head diminishes by Rs1. Find the original expenditure of the mess?
Two numbers are in the ratio 3:5. If 9 be subtracted from each, they are in the ratio of 9:17. The first number is?
Seven different objects must be divided among three people. In how many ways can this be done if one or two of them must get no objects?
4, 6, 12, 14, 28, 30, ?
If a and b are positive integers of I such that a/b=2.86, which of the following must be a divisor of a?
A bat and a ball cost one dollar and ten cents in total. The bat costs a dollar more than the ball. How much does the ball cost?
If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is:
50 is what percent of 125?
There are 202 lights which are functional and each is controlled by a separate On/Off switch. Two children A and B start playing with the switches. A starts by pressing every third switch till he reaches the end. B, thereafter, presses every fifth switch till he too reaches the end. If all switches were in Off position...
A dog takes 10 leaps for every 2 leaps of a hare. If one leap of the dog is equal to 2 leaps of the hare, the ratio of the speed of the dog to that of the hare is :
A mixture of 20 kg of spirit and water contains 10% water. How much water must be added to this mixture to raise the percentage of water to 25%
A cistern has three pipes, A, B and C. The pipes A and B can fill it in 4 and 5 hours respectively and C can empty it in 2 hours. If the pipes are opened in order at 1, 2 and 3 A.M. When will the cistern be empty?
what will be the next for this series 9,19,40,69,149........