Problem stringlengths 5 967 | category class label 6
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a man ' s regular pay is $ 3 per hour up to 40 hours . overtime is twice the payment for regular time . if he was paid $ 186 , how many hours overtime did he work ? | 1physics |
6 workers should finish a job in 8 days . after 3 days came 4 workers join them . how many days c do they need to finish the same job ? | 1physics |
a man can row 9 kmph in still water . when the river is running at 1.2 kmph , it takes him 1 hour to row to a place and black . what is the total distance traveled by the man ? | 1physics |
jacob is 12 years old . he is 4 times as old as his brother . how old will jacob be when he is twice as old ? | 0general |
a type q machine can complete a job in 5 hours and a type b machine can complete the job in 7 hours . how many hours will it take 2 type q machines and 3 type b machines working together and independently to complete the job ? | 1physics |
a fellow borrowed a certain sum of money at 3 % per annum at simple interest and in 3 years the interest amounted to rs . 1820 less than the sum lent . what was the sum lent ? | 2gain |
a sum amounts to rs . 3969 in 2 years at the rate of 5 % p . a . if interest was compounded yearly then what was the principal ? | 2gain |
a polling company surveyed a certain country , and it found that 35 % of that country ’ s registered voters had an unfavorable impression of both of that state ’ s major political parties and that 20 % had a favorable impression only of party r . if one registered voter has a favorable impression of both parties for every two registered voters who have a favorable impression only of party b , then what percentage of the country ’ s registered voters have a favorable impression of both parties ( assuming that respondents to the poll were given a choice between favorable and unfavorable impressions only ) ? | 2gain |
how many pieces of 85 cm length can be cut from a rod of 38.25 meters long ? | 1physics |
gretzky street begins at orr street and runs directly east for 5.6 kilometers until it ends when it meets howe street . gretzky street is intersected every 350 meters by a perpendicular street , and each of those streets other than orr street and howe street is given a number beginning at 1 st street ( one block east of orr street ) and continuing consecutively ( 2 nd street , 3 rd street , etc . . . ) until the highest - numbered street one block west of howe street . what is the highest - numbered street that intersects gretzky street ? | 1physics |
the average weight of 19 students is 15 kg . by the admission of a new student the average weight is reduced to 14.9 kg . the weight of the new student is ? | 0general |
the difference between a two - digit number and the number obtained by interchanging the digits is 36 . what is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1 : 2 ? | 0general |
excluding stoppages , the average speed of a bus is 80 km / hr and including stoppages , the average speed of the bus is 40 km / hr . for how many minutes does the bus stop per hour ? | 0general |
what is the smallest integer n for which 25 ^ n > 5 ^ 12 ? | 0general |
a bottle contains a certain solution . in the bottled solution , the ratio of water to soap is 3 : 4 , and the ratio of soap to salt is five times this ratio . the solution is poured into an open container , and after some time , the ratio of water to soap in the open container is quartered by water evaporation . at that time , what is the ratio of water to salt in the solution ? | 5other |
by selling an article for $ 110 , a person gains $ 10 . what is the gain % ? | 2gain |
tough and tricky questions : functions . let a be a positive integer . let n # a equal n ^ ( 2 a ) if a is odd and n ^ ( 3 a ) if a is even . then ( 4 # 3 ) + ( 3 # 4 ) – ( 3 # 3 ) is equal to | 0general |
find the smallest number of 6 digits which is exactly divisible by 111 . | 0general |
a company recently conducted a survey and found that 35,000 of its customers live in rural areas . if the number of customers who live in urban areas is 140 percent greater than the number of customers who live in rural areas , how many customers live in urban areas ? | 2gain |
in plutarch enterprises , 60 % of the employees are marketers , 20 % are engineers , and the rest are managers . marketers make an average salary of $ 50,000 a year , and engineers make an average of $ 80,000 . what is the average salary for managers if the average for all employees is also $ 80,000 ? | 0general |
two stations a and b are 20 km apart on a straight line . one train starts from a at 7 a . m . and travels towards b at 20 kmph . another train starts from b at 8 a . m . and travels towards a at a speed of 25 kmph . at what time will they meet ? | 1physics |
a bag contains 6 red , 3 yellow and 4 green balls . 3 balls are drawn randomly . what is the probability that the balls drawn contain balls of different colours ? | 4probability |
a crate measures 2 feet by 8 feet by 12 feet on the inside . a stone pillar in the shape of a right circular cylinder must fit into the crate for shipping so that it rests upright when the crate sits on at least one of its six sides . what is the radius , in feet , of the pillar with the largest volume that could still fit in the crate ? | 3geometry |
if 0.3 of a number is equal to 0.06 of another number , the ratio of the numbers i | 5other |
if the average ( arithmetic mean ) of x , x + 2 , and x + 4 is 93 , what is the value of x ? | 0general |
a person crosses a 1800 m long street in 12 minutes . what is his speed in km per hour ? | 1physics |
calculate the amount that an investor needs to be invest to earn $ 1023 in interest in 24 months if the investor plans to invest x dollars in a savings account that pays interest at an annual rate of 12 % compounded semi - annually ? | 2gain |
a certain electric - company plan offers customers reduced rates for electricity used between 8 p . m . and 8 a . m . weekdays and 24 hours a day saturdays and sundays . under this plan , the reduced rates c apply to what fraction of a week ? | 1physics |
a person can row at 9 kmph and still water . he takes 4 1 / 2 hours to row from a to b and back . what is the distance between a and b if the speed of the stream is 1 kmph ? | 1physics |
the distance from steve ' s house to work is 35 km . on the way back steve drives twice as fast as he did on the way to work . altogether , steve is spending 6 hours a day on the roads . what is steve ' s speed on the way back from work ? | 1physics |
the dimensions of a room are 25 feet * 15 feet * 12 feet . what is the cost of white washing the 4 walls of the room at rs . 3 per square feet if there is one door of dimensions 6 feet * 3 feet and 3 windows of dimensions 4 feet * 3 feet each ? | 3geometry |
the greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively , is : | 0general |
in an examination , 300 students appeared . out of these students ; 28 % got first division , 54 % got second division and the remaining just passed . assuming that no student failed ; find the number of students who just passed . | 0general |
the average of first 13 even numbers is ? | 0general |
a 250 m long train is running at a speed of 55 km / hr . it crossed a platform of length 520 m in ? | 1physics |
what is 15 percent of 54 ? | 2gain |
a sum of money at simple interest amount to rs 720 after 2 years and to rs 1020 after a further period of 5 years . the sum is : | 2gain |
an amount of rs . 100000 is invested in two types of shares . the first yields an interest of 9 % p . a and the second , 11 % p . a . if the total interest at the end of one year is 9 2 / 3 % , then the amount invested in each share was ? | 2gain |
a sum was put at simple interest at a certain rate for 10 years . had it been put at 5 % higher rate , it would have fetched rs . 100 more . what was the sum ? | 2gain |
a merchant gets a 5 % discount on each meter of fabric he buys after the first 2,000 meters and a 7 % discount on every meter after the next 1,500 meters . the price , before discount , of one meter of fabric is $ 2 , what is the total amount of money the merchant spends on 6,000 meters of fabric ? | 2gain |
there are 6 red balls and 4 blue balls in a jar . if 3 balls are selected from the jar , what is the probability that all 3 balls selected are blue balls ? | 4probability |
in plutarch enterprises , 70 % of the employees are marketers , 10 % are engineers , and the rest are managers . marketers make an average salary of $ 50,000 a year , and engineers make an average of $ 80,000 . what is the average salary for managers if the average for all employees is also $ 80,000 ? | 0general |
working together , wayne and his son can shovel the entire driveway in three hours . if wayne can shovel eight times as fast as his son can , how many hours would it take for his son to shovel the entire driveway on his own ? | 1physics |
a boat running up stram takes 6 hours to cover a certain distance , while it takes 7 hours to cover the same distance running down stream . what is the ratio between the speed of the boat and the speed of water current respectively ? | 1physics |
company s produces two kinds of stereos : basic and deluxe . of the stereos produced by company s last month , 2 / 3 were basic and the rest were deluxe . if it takes 1.6 as many hours to produce a deluxe stereo as it does to produce a basic stereo , then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos ? | 0general |
a car traveled 75 % of the way from town a to town b at an average speed of 50 miles per hour . the car travels at an average speed of s miles per hour for the remaining part of the trip . the average speed for the entire trip was 60 miles per hour . what is s ? | 1physics |
when positive integer n is divided by positive integer j , the remainder is 12 . if n / j = 134.02 , what is value of j ? | 0general |
joshua and jose work at an auto repair center with 5 other workers . for a survey on health care insurance , 2 of the 6 workers will be randomly chosen to be interviewed . what is the probability that joshua and jose will both be chosen ? | 1physics |
in the coordinate plane , points ( x , 2 ) and ( 10 , y ) are on line k . if line k passes through the origin and has slope 1 / 2 , then x + y = | 0general |
the average score of a cricketer in 2 matches is 20 and in other 3 matches is 30 . then find the average score in all the 5 matches ? | 0general |
4 mat - weavers can weave 4 mats in 4 days . at the same rate , how many mats would be woven by 10 mat - weavers in 10 days ? | 2gain |
rahul played weel in this season . his current batting averagge is 51 . if he score 78 runs in today match . his batting average will become 54 . how many matches had he played in this season . | 0general |
in 1998 the profits of company n were 10 percent of revenues . in 1999 , the revenues of company n fell by 20 percent , but profits were 14 percent of revenues . the profits in 1999 were what percent of the profits in 1998 ? | 2gain |
a garrison of 400 men had a provision for 31 days . after 25 days 320 persons re - enforcement leave the garrison . find the number of days for which the remaining ration will be sufficient ? | 5other |
a jogger is running at 9 kmph alongside a railway track in 240 meters ahead of the engine of a 120 meters long train . the train is running at 45 kmph in the same direction . how much time does it take for the train to pass the jogger ? | 1physics |
the dimensions of a field are 10 m by 10 m . a pit 5 m long , 5 m wide and 3 m deep is dug in one corner of the field and the earth removed has been evenly spread over the remaining area of the field . what will be the rise in the height of field as a result of this operation ? | 5other |
suganya and suriya are partners in a business . suganya invests rs . 32,000 for 8 months and suriya invests rs . 28,000 for 10 months . out of a profit of rs . 30,570 . suganya ' s share is | 2gain |
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 ? | 0general |
an uneducated retailer marks all his goods at 65 % above the cost price and thinking that he will still make 25 % profit , offers a discount of 25 % on the marked price . what is his actual profit on the sales ? | 2gain |
a boat can travel with a speed of 16 km / hr in still water . if the rate of stream is 5 km / hr , then find the time taken by the boat to cover distance of 126 km downstream . | 1physics |
if 7 a = 2 b = 15 , then 42 ab = | 0general |
10 friends went to a hotel and decided to pay the bill amount equally . but 9 of them could pay rs . 50 each as a result 10 th has to pay rs . 180 extra than his share . find the amount paid by him . | 0general |
if 0.75 : x : : 5 : 7 , then x is equal to : | 0general |
a new tower has just been built at the verbico military hospital ; the number of beds available for patients at the hospital is now 7 times the number available before the new tower was built . currently , 1 / 3 of the hospital ' s original beds , as well as 1 / 5 of the beds in the new tower , are occupied . for the purposes of renovating the hospital ' s original wing , all of the patients in the hospital ' s original beds must be transferred to beds in the new tower . if patients are neither admitted nor discharged during the transfer , what fraction of the beds in the new tower will be unoccupied once the transfer is complete ? | 0general |
a man rows 750 m in 675 seconds against the stream and returns in 7 and half minutes . his rowing speed in s ɵ ll water is | 1physics |
a alone can finish a work in 10 days which b alone can finish in 15 days . if they work together and finish it , then out of a total wages of rs . 3500 , a will get : | 1physics |
sides of a rectangular park are in the ratio 3 : 2 and its area is 7350 sq m , the cost of fencing it at 50 ps per meter is ? | 1physics |
the probability that a number selected at random from the first 50 natural numbers is a composite number is - . | 4probability |
there are certain number of hats and gloves in a box . they are of 41 red , 23 green , 11 orange . power gone but a woman can differentiate between hats and gloves . how many draws are required to obtain a pair of each color ? | 0general |
19.19 / 2000 is equal to : | 0general |
the average weight of 20 persons sitting in a boat had some value . a new person added to them whose weight was 49 kg only . due to his arrival , the average weight of all the persons decreased by 5 kg . find the average weight of first 20 persons ? | 0general |
harold works at a resort from the beginning of march to the end of september . during the month of august this past year , he made 3 times the average ( arithmetic mean ) of his monthly totals in tips for the other months . his total tips for august were what fraction of his total tips for all of the months he worked ? | 0general |
how many shots of 1 cm radius can be prepared from a sphere of 3 cm radius ? | 1physics |
two trains each 190 m in length each , are running on two parallel lines in opposite directions . if one goes at the speed of 65 km / h while the other travels at 50 km / h . how long will it take for them to pass each other completely . | 1physics |
a 600 m long train crosses a tree in 60 sec , how much time will it take to pass a platform 450 m long ? | 1physics |
the price of rice falls by 10 % . how much rice can be bought now with the money that was sufficient to buy 20 kg of rice previously ? | 2gain |
the least number , which when divided by 12 , 15 , 20 and 63 leaves in each case a remainder of 8 is : | 0general |
in a class of 50 students , 3 / 5 went away do painting , 1 / 5 went to play in the field . how many students are left in the classroom ? | 5other |
a statue is being carved by a sculptor . the original piece of marble weighed 300 kg . in the first week 30 percent is cut away . in the second week 30 percent of the remainder is cut away . in the third week the statue is completed when 15 percent of the remainder is cut away . what is the weight of the final statue ? | 2gain |
a $ 500 investment and a $ 1,500 investment have a combined yearly return of 10 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 ? | 2gain |
the number of positive integer solutions for the equation x + y + z + t = 18 is | 0general |
the average age of a group of n people is 15 years old . one more person aged 37 joins the group and the new average is 17 years old . what is the value of n ? | 0general |
the ratio between the speeds of two trains is 7 : 8 . if the second train runs 400 km in 4 hours , what is the the speed of the first train ? | 1physics |
what is the unit digit of ( 8 ! * 4 ! / 8 ! * 3 ! ) ? | 0general |
area of square with side x is equal to the area of a triangle with base x . the altitude of the triangle is | 3geometry |
a baseball card decreased in value 60 % in its first year and 10 % in its second year . what was the total percent decrease of the card ' s value over the two years ? | 2gain |
there are 10 books on a shelf , of which 4 are paperbacks and 6 are hardbacks . how many possible selections of 5 books from the shelf contain at least one paperback and at least one hardback ? | 4probability |
a walk 20 m towards north east . b walk towards east 8 m and then 12 m south . now calculate distance between a and b ? | 1physics |
if the difference between compound interest ( interest compounded yearly ) and simple interest on a sum for 3 years at 20 % p . a . is rs . 132 , then the sum is | 2gain |
the mass of 1 cubic meter of a substance is 700 kilograms under certain conditions . what is the volume , in cubic centimeters , of 1 gram of this substance under these conditions ? ( 1 kilogram = 1,000 grams and 1 cubic meter = 1 , 000,000 cubic centimeters ) | 3geometry |
a plot abcd is as shown in figure , where af = 30 m , ce = 40 m , ed = 50 m , ae = 120 m . find the area of the plot abcd ? | 1physics |
in what time will a train 100 meters long cross an electric pole , if its speed is 126 km / hr | 1physics |
two bullet train s 140 m and 170 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time ( in seconds ) which they take to cross each other , is : | 1physics |
a rectangular garden is 12 m by 5 m , what is its area ? | 3geometry |
indu gave bindu rs . 3125 on compound interest for 2 years at 4 % per annum . how much loss would indu has suffered had she given it to bindu for 2 years at 4 % per annum simple interest ? | 2gain |
if the ratio of a to b is 7 to 3 and the ratio of b to c is 1 to 5 , what is the ratio of a to c ? | 5other |
the average of first 18 even numbers is ? | 0general |
a person lent a certain sum of money at 4 % per annum at simple interest and in 8 years the interest amounted to rs . 238 less than the sum lent . what was the sum lent ? | 2gain |
for every integer n ≥ 3 , the function g ( n ) is defined as the product of all the odd integers from 1 to n , inclusive . what is the value of g ( 99 ) – g ( 97 ) ? | 0general |
in the first 5 overs of a cricket game , the run rate was only 2.1 . what should be the rate in the remaining 30 overs to reach the target of 200 runs ? | 2gain |
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