Datasets:
dfdsfgf
/
big_math_dataset

Dataset card Data Studio Files
xet
Community
1
question
stringlengths
3
1.14k
A certain bus driver is paid a regular rate of $15 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, how many total hours did he work that week?
The mean of 20 values was 150. It was detected on rechecking that one value 160 was wrongly copied as 135 for the computation of the mean. Find the correct mean.
If the true discount on s sum due 2 years hence at 14% per annum be Rs. 168, the sum due is ?
To fill a tank, 10 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two-fifth of its present ?
The youngest of 4 children has siblings who are 3, 5, and 8 years older than she is. If the average (arithmetic mean) age of the 4 siblings is 21, what is the age of the youngest sibling?
The average temperature on Wednesday in Chicago, St. Louis, and Pittsburgh was 27°C. The average temperature that same day of St. Louis, Pittsburgh, and Jersey City was 30°C. If temperature in Jersey City was 32°C, what was the temperature on Wednesday in Chicago?
At what rate of compound interest per annum will a sum of Rs. 1200 become Rs. 1348.32 in 2 years
A train speeds past a pole in 15 seconds and a platform 110 meters long in 25 seconds. What is the length of the train?
There are 3 numbers A, B and C. If A:B = 3/4, B:C = 4/5, C:D = 5/6, then A:D will be?
A train 500 m long can cross an electric pole in 20 sec and then find the speed of the train?
Two spherical balls lie on the ground touching. If one of the balls has a radius of 3 cm, and the point of contact is 5 cm above the ground, what is the radius of the other ball?
Three workers have a productivity ratio of 1 to 3 to 5. All three workers are working on a job for 4 hours. At the beginning of the 5th hour, the slowest worker takes a break. The slowest worker comes back to work at the beginning of the 9th hour and begins working again. The job is done in ten hours. What was the ratio of the work performed by the fastest worker as compared to the slowest?
The sum and the product of two numbers are 24 and 23 respectively, the difference of the number is?
Of the 700 employees of Company X, 70 percent have been with the company for at least ten years. If y of theselong-termmembers were to retire and no other employee changes were to occur, what value of y would reduce the percent oflong-termemployees in the company to 60 percent ?
In a certain store, the profit is 1150% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
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¢. How many oranges must Mary put back so that the average price of the pieces of fruit that she keeps is 45¢?
Two pipes can fill a tank in 15 minutes and 12 minutes. The outlet pipe can empty the tank in 20 minutes. If all the pipes are opened when, the tank is empty, then in how many minutes will it take to fill the tank?
Jake can dig a well in 16 days. Paul can dig the same well in 24 days. Jake, Paul and Hari together dig the well in 8 days. Hari alone can dig the well in
A train 150 m long pass a telegraph pole in 5 seconds. Find the speed of the train
A ship sails 4 degrees north, then 15 S. then 17 N. then 19 S. and has finally 11 degrees of south latitude. What was her latitude at starting ?
A certain number of men can do a work in 65 days working 6 hours a day. If the number of men are decreased by one-fourth, then for how many hours per day should they work in order to complete the work in 40 days?
The sale price sarees listed for Rs.400 after successive discount is 10% and 8% is?
The average age of a class of 36 students is 16 yrs. if the teacher's age is also included, the average increases by one year. Find the age of the teacher
An analyst will recommend a combination of 3 industrial stocks, 2 transportation stocks, and 2 utility stocks. If the analyst can choose from 5 industrial stocks, 3 transportation stocks, and 4 utility stocks, how many different combinations of 7 stocks are possible? --
In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 30 overs to reach the target of 282 runs?
There is a 30% increase in the price of an article in the first year, a 20% decrease in the second year and a 10% increase in the next year. If the final price of the article is Rs.3432 , then what was the price of the article initially?
If 4% more is gained by selling an article for Rs. 350 than by selling it for Rs. 340, the cost of the article is
Calculate Tony''s average score in an exam if he obtained the following marks 53, 87, 89, 80 and 78 out of 100 in different subjects.
In a police selections, the weight of Arun is marked as 64 kg instead of 48 kg. Find the percentage of correction required.
Express a speed of 36 kmph in meters per second?
If 375*s is a perfect square then s can be which of the following numbers?
What is the are of an equilateral triangle of side 2 cm?
The average age of 20 students of a class is 20 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years, The age of the 20th student is
The probability that A can solve the problem is 2/3 and B can solve it is 3/4. If both of them attemp the problem, then what is the probability that the problem get solved ?
The sum of four consecutive even numbers is 84. What would be the smallest number?
A man spend 1/5 of his salary on food , 1/10 of his salary on house rent and 3/5 salary on clothes. he still has $15000 left with him. find salary..
By selling 99 pens, a trader gains the cost of 33 pens. Find his gain percentage?
A thief steals at a car at 3.30 p.m. and drives it at 60 km/hr. The theft is discovered at 3 p.m. and the owner sets off in another car at 75 km/hr. When will he overtake the thief?
In a mixture of milk and water, the proportion of milk by weight was 80%. If, in a 180 gm mixture, 36 gms of pure milk is added, what would be the percentage of milk in the mixture formed?
Zam leaves home everyday at 4 p.m to pick his son from school and returns home at 6 p.m. One day, the school was over at 4 p.m and the son started walking home from school. Zam, unaware of this, starts from home as usual and meets his son on the way and returns home with him 15 minutes early. If the speed of Zam is 30 km\hr, find the speed of his son.
Teas worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs 154 per Kg , the price of the third variety per Kg will be?
Which is the following is divisible by 11
If one third of one fourth of number is 15, then three tenth of number is
A bank pays interest to its customers on the last day of the year. The interest paid to a customer is calculated as 10% of the average monthly balance maintained by the customer. John is a customer at the bank. On the last day, when the interest was accumulated into his account, his bank balance doubled to $2840. What is the average monthly balance maintained by John in his account during the year?
9.8 , 9.8 , 9.9 , 9.9 , 10.0 , 10.0 , 10.1 , 10.5 The mean and the standard deviation of the 8 numbers shown above is 10 and 0.212 respectively. What percent of the 8 numbers are within 1 standard deviation of the mean?
If 100<x<199 and 9<y<100, then the product xy CANNOT be equal to:
What is the percentage increase in the area of a rectangle, if each of its sides is increased by 20 % ?
A and B together can do a piece of work in 8 days. If A alone can do the same work in 12 days, then B alone can do the same work in?
If a = 1 and b = -2, then (2a^2 + b)(t + y) + (a + b)(t - y) =
The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 650 resolutions?
A train covers a distance of 20 km in 20 min. If it takes 9 sec to pass a telegraph post, then the length of the train is?
A and B can do a piece of work in 8 days. B and C can do it in 12 days and A and C in 16 days. Working together they will complete the work in how many days?
An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?
A wood maker constructed a rectangular sandbox with a capacity of 10 cubic feet. If the carpenter were to make a similar sandbox twice as long, twice as wide, and twice as high as the first sandbox, what would be the capacity, in cubic feet, of the second sandbox?
The length of a train and that of a platform are equal. If with a speed of 144 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?
Ten years ago A was half of B in age. If the ratio of their present ages is 3 : 4, what will be the total of their present ages
AB + CD = XXX, where AB and CD are two-digit numbers and XXX is a three digit number; A, B, C, and D are distinct positive integers. In the addition problem above, what is the value of C?
A bag contains ten marbles of the same size: 3 are identical green marbles, 2 are identical red marbles, and the other 5 are five distinct colors. If 5 marbles are selected at random, how many distinct combinations C of five marbles could be drawn?
-88*49+100=?
A sum of money invested at compound interest to Rs. 800 in 3 years and to Rs 860 in 4 years. The rate on interest per annum is.
In an intercollegiate competition that lasted for 3 days, 157 students took part on day 1, 111 on day 2 and 98 on day 3. If 89 took part on day 1 and day 2 and 56 took part on day 2 and day 3 and 32 took part on all three days, how many students took part only on day 1?
The ratio of the present ages of P and Q is 3:4. 5 years ago, the ratio of their ages was 5:7. Find the their present ages?
Dacid obtained 72, 45, 72, 77 and 75 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
A certain industrial loom weaves 0.128 meters of cloth every second. Approximately how many seconds will it take for the loom to weave 15 meters of cloth?
Find the number of shares that can be bought for Rs.8200 if the market value is Rs.20 each with brokerage being 2.8%.
The ratio of incomes of two person P1 and P2 is 5 : 4 and the ratio of their expenditures is 3 : 2. If at the end of the year, each saves Rs.2000, then what is the income of P1?
Last month, John rejected 0.5% of the products that he inspected and Jane rejected 0.9 percent of the products that she inspected. If total of 0.75 percent of the products produced last month were rejected, what fraction of the products did Jane inspect?
At 12:30, the hour hand and the minute hand of a clock form an angle of
How many times in a day, the hands of a clock are straight?
0, 0, 1, 2, 2, 4, 3, 6, 4, _ Can you find out which number will complete the above series?
A florist has 2 azaleas, 3 buttercups, and 7 petunias. The florist puts two flowers together at random in a bouquet. However, the customer calls and says that she does not want two of the same flower. What is the probability that the florist does not have to change the bouquet?
Arabica coffee costs $0.4 per ounce while Robusta coffee costs $0.2 per ounce. If the blend of Arabica and Robusta costs $0.33 per ounce, what is the share of Arabica in this blend?
If one of the followings is the product of the two 3-digit integers 8K5 and 6L5 (K and L denote the tens digit of the respective integers), then that product must be
A rectangular floor measures 2 by 3 meters. There are 5 white, 5 black, and 5 red parquet blocks available. Each block measures 1 by 1 meter. In how many different f colors patterns can be floor be parqueted?
A train passes a station platform in 38 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
In the 4 digits 1,2,3,4 how many 4 digested numbers are possible which are divisible by 4? Repetitions are allowed
What is the greatest positive integer W such that 3^W is a factor of 9^10?
At 3:00 pm, a car has driven 40 miles east. It will continue to drive east at 0.8 minutes per mile and then turn around and drive at 0.8 minutes per mile back to its original starting point. How far can it drive before turning around in order to arrive back to its original starting point by 3:40 pm?
A man took loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had to pay Rs. 5400 interest only for the period. The principal amount borrowed by him was:
Ramu bought an old car for Rs. 42000. He spent Rs. 10000 on repairs and sold it for Rs. 64900. What is his profit percent?
Out of first 25 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is ?
Two trains of length 200 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?
In a tailoring, 8 seamstresses sew a large order of pants, doing a third of the work in 6 days. If the owner hires 4 seamstresses more, how many days will take to finish the order, since the first day?
If x is the interest on y and y is the interest on z, the rate and time is the same on both the cases. What is the relation between x, y and z?
Two employees X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?
A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 4 : 5 : 3. If C gets Rs. 10000 more than D, what is B's share?
The wages earned by Robin is 30% more than that earned by Erica. The wages earned by Charles is 60% more than that earned by Erica. How much percent is the wages earned by Charles more than that earned by Robin?
A and B together can do a work in 5 days. If A alone can do it in 15 days. In how many days can B alone do it?
A person's present age is two-fifth of the age of his mother. After 4 years, he will be one - half of the age of his mother. How old is the mother at present ?
Angela has 12 pairs of matched socks. If she loses 7 individual socks, which of the following is NOT a possible number of matched pairs she has left?
An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1 2/3 hours, it must travel at a speed of:
The average age of M boys is ‘b’ years and of ‘n’ girls ‘c’ years. The average age of all together is?
At a dinner party, 8 people are to be seated around a circular table. Two seating arrangements are considered different only when the positions of the people are different relative to each other. What is the total number of different possible seating arrangements for the group?
How many positive integers C less than 10,000 are such that the product of their digits is 210?
a man follows the following steps.. 1)4km towrds north 2)3km towards east 3)8km towards south 4)6km towars west 5)7km towards north 6)5km towards east 7)6km towards south 8)4km towards 4 9)finally 3km towards north how far he is from starting point and in which direction??
If |z|/w = 3,which of the following must be true?
If 3a = 4b and ab ≠0, what is the ratio of a/4 to b/3?
Look at this series: 404, 369, 334, 299, 264, 229, 194 ... What number should come next?
a percent of b percent of c is decreased by y percent. What is the result?
If books bought at prices ranging from Rs. 110 to Rs. 240 are sold at prices ranging from Rs. 150 to Rs 280, what is the greatest possible profit that might be made in selling 10 books ?