Datasets:
dfdsfgf
/
big_math_dataset

Dataset card Data Studio Files
xet
Community
1
question
stringlengths
3
1.14k
Consider the following game, in which a referee picks a random integer between 1 and 100. One after the other, each of three players tries to guess the number the referee picked. Each player announces his or her guess before the next player guesses. Each guess has to be different from the previous guesses. The winner is the player who comes closest to the referee’s number without exceeding it. (It is possible for none of the players to win.) Suppose that Player 1 guesses 24, and that Player 3 will guess a number that gives her/him the best chance of winning. What number should Player 2 guess to maximize his/her chances of winning?
The average monthly salary of 20 employees in an organisation is Rs. 1700. If the manager's salary is added, then the average salary increases by Rs. 100. What is the manager's monthly salary ?
Out of 40 applicants to a law school, 15 majored in political science, 20 had a grade point average higher than 3.0, and 10 did not major in political science and had a GPA equal to or lower than 3.0. How many W applicants majored in political science and had a GPA higher than 3.0?
A certain bridge is 4,424 feet long. Approximately how many minutes does it take to cross this bridge at a constant speed of 10 miles per hour? (1 mile = 5,280 feet)
A train 900 m long passed a pole in 9 sec. How long will it take to pass a platform 800 m long?
Two pipes can fill a tank in 18 minutes and 60 minutes. An outlet pipe can empty the tank in 45 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
In a city, the streets are aligned in a grid, where the east-west roads are called 1st Rd, 2nd Rd, 3rd Rd, etc, increasing in number as one moves northward. The north-south roads are called 1st Ave, 2nd Ave, 3rd Ave, etc, increasing in number as one moves eastward. If Bill needs to walk from the corner of 2nd Rd and 3rd Ave to the corner of 9th Rd and 6th Ave in the shortest possible time, how many different routes could he take?
It takes printer A 4 more minutes more than printer B to print 40 pages. Working together, the two printers can print 50 pages in 6 minutes. How long will it take Printer A to print 60 pages?
In a 2000 m race, A beats B by 100 meters or 15 seconds. Find the speed of B?
The probability that event A occurs is 0.4, and the probability that event B occurs is 0.45. If the probability that either event A or event B occurs is 0.6, what is the probability that event B and event B will occur?
A 480 m long train is running at a speed of 55 Km/hr. It crossed a platform of length 620 m in ?
At a certain supplier, a machine of type A costs $20,000 and a machine of type B costs $60,000. Each machine can be purchased by making a 20 percent down payment and repaying the remainder of the cost and the finance charges over a period of time. If the finance charges are equal to 40 percent of the remainder of the cost, how much less would 2 machines of type A cost than 1 machine of type B under this arrangement?
A train is 360 meter long is running at a speed of 54 km/hour. In what time will it pass a bridge of 140 meter length?
A and B together have $100. If 3/10 of A's amount is equal to 1/5 of B's amount, how much amount does B have?
Donovan took a math test and got 35 correct and 14 incorrect answers. What was the percentage of correct answers? (Round to the nearest hundredth)
In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
A deer runs k miles in n hours. How many miles will it run in x hours at the same rate?
The length of the rectangular field is double its width. Inside the field there is square shaped pond 8m long. If the area of the pond is 1/50 of the area of the field. What is the length of the field?
If the average of 8 digits is 20 and the average of 5 of them is 12, calculate the average of the remaining 3 numbers?
The average weight of 10 men is increased by 1 ½ kg when one of the men who weighs 60 kg is replaced by a new man. What is the weight of the new man?
Charlene's annual bonus is calculated in the following manner: Charlene receives 20 percent of her first $11,000 in sales and 30 percent of her sales in excess of $11,000. If Charlene received a bonus of $8,500, what were her annual sales?
If four coins are tossed, the probability of getting two heads and two tails is?
Three-fifth of a two digit number exceeds its one fifth by 6. What is the sum of the digits of the number?
In a restaurant, the profit is 160% of the cost. If the cost increases by 12% but the selling price remains constant, approximately what percentage of the selling price is the profit?
An investor purchased 100 shares of stock X at 6 1/8 dollars per share and sold them all a year later at 30 dollars per share. If the investor paid a 2 percent brokerage fee on both the total purchase price and the total selling price, which of the following is closest to the investor's percent gain on this investment?
A certain jacket was marked down 20% the first week and another 20% the next week. What percent of the regular price was the final cost of the jacket after the two markdowns?
A dishonest dealer professes to sell his goods at Cost Price but still gets 20% profit by using a false weight. What weight does he substitute for a kilogram?
Of 100 apples in a tree, 30 percent are green. How many red apples must be picked in order to bring the number of green apples up to 50 percent of the apples in the tree?
A train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?
The time it took car P to travel 300 miles was 2 hours less than the time it took car R to travel the same distance. If car P’s average speed was 10 miles per hour greater than that of car R, what was car R’s average speed, in miles per hour?
A flagstaff 17.5 m high casts a shadow of length 40.25 m. What will be the height of a building, which casts a shadow of length 28.75 m under similar conditions?  
A student can select one of 8 different math book, one of 3 different chemistry book & one of 4 different science book.In how many different ways students can select book of math, chemistry & science.
In how many ways can the letters of the word APPEAR be rearranged such that the vowels always appear together?
A die is thrown twice and the sum of the numbers appearing is observed to be 6. find the conditional probability that the number 4 has appeared at least once?
How many numbers between 100 and 798 are divisible by 2, 3, and 7 together?
A and B rent a pasture for 10 months. A put in 80 cows for 7 months. How many can B put in for the remaining 3 months, if he pays half as much again as A?
Tough and Tricky questions: Absolute Values. If |a| = 1/5 and |b| = 2/3, which of the following CANNOT be the result of a + b?
A sum is divided among C, D and E in such a way that for each rupee C gets, D gets 75 paisa and E gets 50 paisa. If the share of E is RS. 80, what is the total amount?
How many times will the hands of a clock coincide in a day?
The sector of a circle has radius of 14 cm and central angle 144o. Find its perimeter?
The area of a square is equal to 2 times the area of a rectangle of dimensions 8 cm * 64 cm. What is the perimeter of the square?
In how many ways can a committee consisting of 4 men and 5 women be formed from a group of 7 men and 8 women?
If p and q are integers and p divided by q is 16.15, then which of the following integers is a possible value for the remainder when p is divided by q? I. 15 II. 5 III. 3
If, 7 years ago, Jamie was half as old as he is now, how old will he be in x years?
Suresh and Ramesh started a business investing Rs. 24,000 and Rs. 40,000 respectively. Out of total profit of Rs. 20,000, what is Ramesh's share?
The number of even factors of 21600 is
C and D walk around a circular track. They start at 11 a.m from the same point in the opposite directions. C and D walk at a speed of 7 rounds per hour and 8 rounds per hour respectively. How many times shall they cross each other before 5 p.m
Fred and Sam are standing 100 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 5 miles per hour and Sam walks at a constant speed of 5 miles per hour, how many miles has Sam walked when they meet?
In how many ways can the letters {U, U, U, R} be arranged?
Find the value of X, Y by solving the below equations X + Y = 12 X - Y = 4
One hour after Adrienne started walking the 60 miles from X to Y, William started walking from X to Y as well. Adrienne walks 3 miles per hour and William walks 1 mile per hour faster than Adrienne. How far from X will William be when he catches up to Adrienne?
If -12 < x < 14, Then which of the following must be true ?
The R train leaves station A moving at a constant speed, and passes by stations B and C, in this order. It takes the R train 7 hours to reach station B, and 5 additional hours to reach station C. The distance between stations A and B is m kilometers longer than the distance between stations B and C. What is the distance between stations A and C in terms of m?
A towel, when bleached, lost 20% of its length and 20% of its breadth. What is the percentage decrease in area?
A class has a ratio of 3:6:7 of children with red hair, blonde hair and black hair respectively. If the class has 9 kids with red hair, how many kids are there with black hair?
What is the probability that out of the combinations that can be made using all the letters of the word EXCESS, Jerome will randomly pick a combination in which the first letter is a vowel and the last letter is a consonant?
A, B and C are inner angles in a triangle. If A= B+ C, what can't be the size of B?
Length of a rectangular plot is 24 mtr more than its breadth. If the cost of fencin gthe plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr?
8 machines can do a work in 10days. How many machines are needed to complete the work in 40days?
Calculate the average marks of a student who obtained 56, 60, 72, 85 and 80 marks (out of 100) in Geography, History and Government, Art, Computer Science and Modern Literature ?
If 20,371 + x is a multiple of 4, which of the following could be the value of x?
The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:
Plane leaves from Chelsea every 50 minutes from West Ham airport. Air hostess told Frank Lampard that the plane had left 25 minutes ago and the next plane for Chelsea will leave at 7:00 p.m. At what time air hostess convey this information to Frank Lampard?
A number a is squared and then multiplied by negative 3. The result of this operation is equal to three times the sum of three times a and two. What is one possible value of a ?
The value of a machine depreciates at the rate of 10% per annum. If its present value is Rs. 81000, what will be its worth after 2 ears? What was the value of the machine 2 years ago?
The balance of a trader weighs 10% less than it should. Still the trader marks up his goods to get an overall profit of 20%. What is the mark up on the cost price?
What is the probability of getting a number less than 4 when a die is rolled?
There are a total of 17 students in Mr. David's gym class. Over the course of a badminton unit, each of the 17 students will compete exactly once against every other student in the class. How many total games of badminton will be played?
A company organzied a help desk.there have been done 24 hrs work on software,17 hrs on help user nd 40% on other services.find the total no. of hrs have been worked on that day?
Rs.4500 amounts to Rs.5544 in two years at compound interest, compounded annually. If the rate of the interest for the first year is 12%, find the rate of interest for the second year?
In a kilometer race, A beats B by 200 meters or 10 seconds. What time does A take to complete the race?
At what angle the hands of a clock are inclined at 15 minutes past 5?
A, B and C enter into a partnership. They invest Rs. 50,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. In what ratio will the profit be shared at the end of 3 years ?
The average weight of 8 sailors in a boat is increased by 1 kg if one of them weighing 56 kg is replaced by a new sailor. The weight of the new sailor is?
A boy multiplied 987 by a certain number and obtained 559981 as his answer. If in the answer both 9 are wrong and the other digits are correct, then the correct answer would be:
Express of the following as a fraction: 45%
39 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work ?
a light flashes every 30 seconds, how many times will it flash in ? of an hour?
A store has 10 bottles of juice, including 5 bottles of apple juice. In the evening, 6 bottles of juice are sold one by one. What is the probability of selling 4 bottles of apple juice among the 6 bottles? Assume that every bottle has an equal chance of being bought.
Last year a worker saved 6% of her annual salary. This year, she made 20% more money than last year and she saved 5% of her salary. The amount she saved this year was what percent of the amount she saved last year?
A call center has two teams. Each member of Team A was able to process 6/5 calls as compared to each member of Team B. If Team A has 5/8 as many number of call center agents as Team B, what fraction of the total calls was processed by Team B?
A train 520 meters long is running with a speed of 34 kmph. The time taken by it to cross a tunnel 280 meters long is?
P is four times as fast as Q and working together, they can complete a work in 5 days. In how many days can Q alone complete the work?
If y exceeds x by 60%, then x is less than y by?
The ratio between the radii of two spheres is 1:3. Find the ratio between their volumes?
A plane travels in the shape of equilateral triangle have sped of 20km/hr, 40km/hr and 60km/hr. Find the average speed of the palne.
How much water must be added to 10 gallons of 10% brine solution to decrease the concentration to 8%?
A train running at the speed of 60 km/hr crosses a pole in 18 sec. What is the length of the train?
In a kilometre race, A can give B a start of 100 m or 15 seconds. How long does A take to complete the race?
Find the surface area of a cuboid 16 m long, 14 m broad and 7 m high
A student took 6 courses last year and received an average (arithmetic mean) grade of 100 points. The year before, the student took 5 courses and received an average grade of 60 points. To the nearest tenth of a point, what was the student’s average grade for the entire two-year period?
The average weight of 40 girls sitting in a bus had some value. A new girl added to them whose weight was 60 kg only. Due to her arrival, the average weight of all the girls decreased by 20 kg. Find the average weight of first 40 boys?
In how many ways 8 different tickets E can be distributed between Jane and Bill if each is to receive any even number of tickets and all 8 tickets to be distributed.
he ratio between the sale price and the cost price of an article is 7:5. What is the ratio between the profit and the cost price of that article?
How many such letter-pairs are there in the word FRONTIER having same no. of letters left between them as they have in the series?
Two varieties of wheat - A and B costing Rs. 9 per kg and Rs. 15 per kg were mixed in the ratio 3 : 7. If 5 kg of the mixture is sold at 25% profit, find the profit made?
A survey was sent to 80 customers, 9 of whom responded. Then the survey was redesigned and sent to another 63 customers, 12 of whom responded. By approximately what percent did the response rate increase from the original survey to the redesigned survey?
50% of a number is more than 40% of 120 by 180. Find the number?
14 times a number gives 210. The number is
One drier dries certain quantity of material in 24 minutes. Another drier does the same work in 2 minutes how much time will it take to do the same job when both driers are put to work ?