Problem stringlengths 5 967 | category class label 6
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a can complete a project in 20 days and b can complete the same project in 30 days . if a and b start working on the project together and a quits 5 days before the project is completed , in how many days will the project be completed ? | 1physics |
sides of a rectangular park are in the ratio 3 : 2 and its area is 3750 sq m , the cost of fencing it at 90 ps per meter is ? | 1physics |
if 30 % of a number is equal to one - third of another number , what is the ratio of first number to the second number ? | 0general |
every year an amount increases by 1 / 8 th of itself . how much will it be after two years if its present value is rs . 32000 ? | 0general |
out of 450 students of a school , 325 play football , 175 play cricket and 50 neither play football nor cricket . how many students play both football and cricket ? | 5other |
a number is doubled and 7 is added . if resultant is trebled , it becomes 99 . what is that number | 0general |
a bag holds 3 red marbles and 3 green marbles . if you removed two randomly selected marbles from the bag , without replacement , what is the probability that both would be green ? | 5other |
in a 200 m race , a covers the distance in 45 seconds and b in 60 second . in this race a beats b by : | 1physics |
find the value of a / b + b / a , if a and b are the roots of the quadratic equation x 2 + 8 x + 4 = 0 ? | 0general |
20 ^ 10 / 120 ^ 5 = ? | 0general |
darren bought 5 packs of white t - shirts and 3 packs of blue t - shirts for his basketball team . the white t - shirts come in packs of 6 , and the blue t - shirts come in packs of 9 . how many t - shirts did darren buy in all ? | 0general |
car a is 10 miles behind car b , which is traveling in the same direction along the same route as car a . car a is traveling at a constant speed of 58 miles per hour and car bis traveling at a constant speed of 50 miles per hour . how many hours will it take for car a to overtake and drive 8 miles ahead of car b ? | 1physics |
in a 400 m race , a covers the distance in 60 seconds and b in 100 second . in this race a beats b by : | 1physics |
a business executive and his client are charging their dinner tab on the executive ' s expense account . the company will only allow them to spend a total of 50 $ for the meal . assuming that they will pay 7 % in sales tax for the meal and leave a 20 % tip , what is the most their food can cost ? | 0general |
the h . c . f . of two numbers is 11 and their l . c . m . is 693 . if one of the number is 77 , find the other ? | 1physics |
p , q and r can do a work in 6 , 9 and 12 days respectively . they completed the work and got rs . 195 . what is the share of p ? | 1physics |
machine a and machine b are each used to manufacture 220 sprockets . it takes machine a 10 hours longer to produce 220 sprockets than machine b . machine b produces 10 percent more sprockets per hour than machine a . how many sprockets per hour does machine a produces ? | 2gain |
a shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 30 % while buying and by 10 % while selling . what is his percentage profit ? | 2gain |
a cricket bat is sold for $ 900 , making a profit of $ 300 . the profit percentage would be | 2gain |
each of the integers from 1 to 15 is written on the a seperate index card and placed in a box . if the cards are drawn from the box at random without replecement , how many cards must be drawn to ensure that the product of all the integers drawn is even ? | 0general |
a student chose a number , multiplied it by 7 , then subtracted 150 from the result and got 130 . what was the number he chose ? | 0general |
average monthly income of a family of 4 earning members was rs . 735 . one of the earning members died and therefore , the average income came down to rs 550 . the income of the deceased was ? | 0general |
evaluate : ( 1 - 1 / 10 ) ( 1 - 1 / 11 ) ( 1 - 1 / 12 ) . . . ( 1 - 1 / 99 ) ( 1 - 1 / 100 ) | 0general |
when a person aged 39 is added to a group of n people , the average age increases by 2 . when a person aged 15 is added instead , the average age decreases by 1 . what is the value of w ? | 0general |
210 college students were asked in a survey if they preferred windows or mac brand computers . 90 students claimed that they preferred mac to windows brand computers . one third as many of the students who preferred mac to windows , equally preferred both brands . 60 of the students had no preference . how many of the students in the survey preferred windows to mac brand computers ? | 5other |
210 school students were asked in a survey if they preferred windows or mac brand computers . 60 students claimed that they preferred mac to windows brand computers . one third as many of the students who preferred mac to windows , equally preferred both brands . 90 of the students had no preference . how many of the students in the survey preferred windows to mac brand computers ? | 5other |
speed of a boat in standing water is 11 kmph and speed of the stream is 2.5 kmph . a man can rows to a place at a distance of 105 km and comes back to the starting point . the total time taken by him is ? | 1physics |
a train 650 m long is running at a speed of 81 km / hr . in what time will it pass a bridge 340 m long ? | 1physics |
what is the probability that carol and bernie will get selected for a job they both applied for in a company , given that their chances of getting selected is 4 / 5 and 3 / 5 respectively ? | 4probability |
the weight of every type a widget is the same , the weight of every type b widget is the same , and the weight of every type c widget is the same . if the weight of 7 type a widgets is equal to the weight of 2 type b widgets , and the weight of 5 type b widgets is equal to the weight of 7 type c widgets . what is the ratio of the total weight of 1 type a widget and 1 type b widget , to the total weight of 1 type b widget and 1 type c widget ? | 0general |
a certain bag contains 100 balls â € ” 10 white , 30 green , 10 yellow , 47 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 ? | 5other |
how many bricks , each measuring 25 cm x 11 cm x 6 cm , will be needed to build a wall of 8 m x 1 m x 5 cm ? | 1physics |
the breadth of a rectangular field is 60 % of its length . if the perimeter of the field is 800 m , find out the area of the field . | 3geometry |
if the number is divided by 3 , it reduced by 30 . the number is | 0general |
among 400 students , 51 % study sociology , 46 % study mathematics and 40 % study biology . if 34 % of students study both mathematics and sociology , what is the largest possible number of students who study biology but do not study either mathematics or sociology ? | 5other |
in the third grade of windblown school there are 102 students , one third of them failed the math test and 1 / 6 failed that literature test . at least how many students failed both tests ? | 5other |
the principal that amounts to rs . 5913 in 3 years at 6 1 / 4 % per annum c . i . compounded annually , is ? | 2gain |
if 2805 / 2.55 = 1100 , then 280.5 / 25.5 is equal to ? | 0general |
a and b complete a work in 50 days . a alone can do it in 40 days . if both together can do the work in how many days ? | 1physics |
a sum of rs . 2769 is lent into two parts so that the interest on the first part for 8 years at 3 % per annum may be equal to the interest on the second part for 3 years at 5 % per annum . find the second sum ? | 2gain |
( 0.0077 ) ( 3.6 ) / ( 0.04 ) ( 0.1 ) ( 0.007 ) = | 0general |
in a certain candy store , 22 % of the customers are caught sampling the candy and are charged a small fine , but 12 % of the customers who sample the candy are not caught . what is the total percent of all customers who sample candy ? | 2gain |
a lent rs . 5000 to b for 2 years and rs . 3000 to c for 4 years on simple interest at the same rate of interest and received rs . 1760 in all from both of them as interest . the rate of interest per annum is ? | 2gain |
out of 4 numbers , the average of first 3 is 20 and that of the last 3 is 15 . if the last number is 18 , the first number is : | 0general |
4 car rental agencies a , b , c and d rented a plot for parking their cars during the night . a parked 15 cars for 12 days , b parked 12 cars for 20 days , c parked 18 cars for 18 days and d parked 16 cars for 15 days . if a paid rs . 1125 as rent for parking his cars , what is the total rent paid by all the 4 agencies ? | 0general |
harry started a 7 - mile hike with a full 9 - cup canteen of water and finished the hike in 2 hours with 3 cup of water remaining in the canteen . if the canteen leaked at the rate of 1 cup per hour and harry drank 2 cups of water during the last mile , how many cups did he drink per mile during the first 6 miles of the hike ? | 1physics |
the banker ' s gain on a sum due 6 years hence at 12 % per annum is rs . 900 . what is the banker ' s discount ? | 2gain |
8 ^ 100 is divisible by 17 . find the remainder for this ? | 0general |
a shopkeeper sold an book offering a discount of 5 % and earned a profit of 42.5 % . what would have been the percentage of profit earned if no discount was offered ? | 2gain |
a driver would have reduced the time it took to drive from home to the store by 1 / 4 if the average speed had been increased by 10 miles per hour . what was the actual average speed , in miles per hour , when the driver drove from home to the store ? | 0general |
a can do a job in 15 days and b can do it in 30 days . a and b working together will finish twice the amount of work in - - - - - - - days ? | 1physics |
at a supermarket , john spent 1 / 2 of his money on fresh fruits and vegetables , 1 / 3 on meat products , and 1 / 10 on bakery products . if he spent the remaining $ 10 on candy , how much did john spend at the supermarket ? | 0general |
the h . c . f . of two numbers is 12 and their l . c . m . is 600 . if one of the number is 120 , find the other ? | 1physics |
66.2 is what percent of 1000 ? | 2gain |
if the sum and difference of two numbers are 5 and 10 respectively , then the difference of their square is : | 0general |
find the least number which when divided by 56 , 78 leaves a remainder 3 but when divided by 9 leaves no remainder | 0general |
what is the average of first 21 multiples of 8 ? | 0general |
a invested $ 150 in a business after 6 months b invested $ 200 in the business . end of the year if they got $ 100 as profit . find a shares ? | 2gain |
for any number y , y * is defined as the greatest positive even integer less than or equal to y . what is the value of 9.2 – 9.2 * ? | 0general |
the area of a square field 3136 sq m , if the length of cost of drawing barbed wire 3 m around the field at the rate of rs . 1.40 per meter . two gates of 1 m width each are to be left for entrance . what is the total cost ? | 1physics |
$ 400 is divided amongst a , b and c so that a may get 2 / 3 as much as b and c together , b may get 6 / 9 as much as a and c together , then the share of a is | 0general |
2 . the value of x + x ( xx ) when x = 2 is : | 0general |
find the value of x from the below equation ? : x ^ 2 + 5 x + 25 = 0 | 0general |
a doctor prescribed 18 cubic centimeters of a certain drug to a patient whose body weight was 75 pounds . if the typical dosage is 2 cubic centimeters per 15 pounds of the body weight , by what percent was the prescribed dosage greater than the typical dosage ? | 2gain |
if two positive numbers are in the ratio 1 / 7 : 1 / 5 , then by what percent is the second number more than the first ? | 0general |
30.5 % of 2000 | 2gain |
if the operation x is defined by a x b = ( b - a ) ^ 2 / a ^ 2 for all numbers a and b , and a ≠ 0 , then − 1 x ( 1 x − 1 ) = | 0general |
the two lines y = x and x = - 3 intersect on the coordinate plane . if z represents the area of the figure formed by the intersecting lines and the x - axis , what is the side length of a cube whose surface area is equal to 6 z ? | 0general |
subtracting 4 % of a from a is equivalent to multiplying a by how much ? | 0general |
each of the integers from 0 to 9 , inclusive , is written on a separate slip of blank paper and the ten slips are dropped into a hat . if 5 of the slips are the drawn , without replacement , what is the probability that all 5 have a even number written on it ? | 2gain |
if a and b are integers and ( a * b ) ^ 5 = 32 y , y could be : | 0general |
it was calculated that 100 men could complete a piece of work in 20 days . when work was scheduled to commence , it was found necessary to send 50 men to another project . how much longer will it take to complete the work ? | 1physics |
if a is thrice as fast as b and together can do a work in 15 days . in how many days a alone can do the work ? | 1physics |
average of 5 numbers is - 10 , and the sum of 3 of the numbers is 16 , wat is the average of the other 2 numbers ? | 0general |
a number when divided by 296 leaves 75 as remainder when the same number is divided by 37 then the remainder will be ? | 0general |
if | 4 x + 6 | = 50 , what is the sum of all the possible values of x ? | 0general |
a merchant sells an item at a 20 % discount , but still makes a gross profit of 20 percent of the cost . what percent e of the cost would the gross profit on the item have been if it had been sold without the discount ? | 2gain |
the width of a rectangle is 10 meter and its area is 150 square meter . if length of the rectangle is increased then its new area is 4 / 3 times of the original area . what is the new perimeter of the rectangle ? | 3geometry |
the cost price of a radio is rs . 2300 and it was sold for rs . 1800 , find the loss % ? | 2gain |
a and b can finish a work 30 days if they work together . they worked together for 20 days and then b left . a finished the remaining work in another 20 days . in how many days a alone can finish the work ? | 1physics |
0.0004 ? = 0.01 | 0general |
860 % of 50 + 50 % of 860 = ? | 0general |
in a lake , there is a patch of lily pads . every day , the patch doubles in size . it takes 39 days for the patch to cover the entire lake , how many days would it take the patch to cover half of the lake ? | 1physics |
find the product of the localvalue and absolutevalue of 4 in 20468 ? | 0general |
marcella has 20 pairs of shoes . if she loses 9 individual shoes , what is the greatest number of matching pairs she could have left ? | 0general |
a miniature roulette wheel is divided into 10 equal sectors , each bearing a distinct integer from 1 to 10 , inclusive . each time the wheel is spun , a ball randomly determines the winning sector by settling in that sector . if the wheel is spun five times , approximately what is the probability that the product of the five winning sectors ’ integers will be even ? | 0general |
on a map , 7 centimeters represents 35 kilometers . two cities 245 kilometers apart would be separated on the map by how many centimeters ? | 2gain |
a certain bag contains 60 balls — 22 white , 10 green , 7 yellow , 15 red , and 6 purple . if a ball is to be chosen at random , what is the probability that the ball will be neither red nor purple ? | 5other |
points a , b , c , and d , in that order , lie on a line . if ab = 2 cm , ac = 5 cm , and bd = 9 cm , what is cd , in centimeters ? | 1physics |
if the area of a square with sides of length 4 centimeters is equal to the area of a rectangle with a width of 8 centimeters , what is the length of the rectangle , in centimeters ? | 3geometry |
the average of 6 numbers is 6.8 . if one of the numbers is multiplied by a factor of 3 , the average of the numbers increases to 9.2 . what number is multiplied by 3 ? | 0general |
two trains 200 m and 800 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time which they take to cross each other is ? | 1physics |
if 3 < x < 6 < y < 7 , then what is the greatest possible positive integer difference of x and y ? | 0general |
the ratio between the perimeter and the width of a rectangle is 5 : 1 . if the area of the rectangle is 96 square centimeters , what is the length of the rectangle in centimeters ? | 3geometry |
in a group of 90 people , 55 have visited iceland and 33 have visited norway . if 51 people have visited both iceland and norway , how many people have visited neither country ? | 5other |
a small company reduced its faculty by approximately 14 percent to 195 employees . what was the original number of employees ? | 2gain |
in a dairy farm , 40 cows eat 40 bags of husk in 40 days . in how many days one cow will eat one bag of husk ? | 1physics |
the average age of 4 men is increased by years when two of them whose ages are 21 years and 23 years are replaced by two new men . the average age of the two new men is | 0general |
one type of liquid contains 25 % of kerosene , the other contains 30 % of kerosene . p can is filled with 6 parts of the first liquid and 4 parts of the second liquid . find the percentage of the kerosene in the new mixture . | 2gain |
the ratio of income of anand to that of balu is 5 : 4 and the expenditure of anand to that of balu is 3 : 2 . if at the end of the year , each saves rs , 800 , the income of anand is : | 5other |
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