Problem stringlengths 5 967 | category class label 6
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students at a school were on average 180 cm tall . the average female height was 170 cm , and the average male height was 184 cms . what was the ratio q of men to women ? | 0general |
8 / 4 / 2 = ? | 0general |
a wholesaler wishes to sell 100 pounds of mixed nuts at $ 2.00 a pound . she mixes peanuts worth $ 1.50 a pound with cashews worth $ 4.00 a pound . how many pounds of cashews must she use ? | 0general |
by weight , liquid x makes up 0.7 percent of solution p and 1.2 percent of solution q . if 200 grams of solution p are mixed with 800 grams of solution q , then liquid x accounts for what percent of the weight of the resulting solution ? | 2gain |
a courtyard is 20 meter long and 16 meter board is to be paved with bricks of dimensions 20 cm by 10 cm . the total number of bricks required is ? | 1physics |
a car takes 4 hours to cover a distance of 540 km . how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time ? | 1physics |
3 / 8 of 168 * 15 / 5 + x = 549 / 9 + 275 | 0general |
36 men working 8 hours per day dig 30 m deep . how many extra men should be put to dig to a depth of 50 m working 6 hours per day ? | 1physics |
square a has an area of 121 square centimeters . square b has a perimeter of 16 centimeters . if square b is placed within square a and a random point is chosen within square a , what is the probability the point is not within square b ? | 3geometry |
the end of a blade on an airplane propeller is 15 feet from the center . if the propeller spins at the rate of 1,320 revolutions per second , how many miles will the tip of the blade travel in one minute ? ( 1 mile = 5,280 feet ) | 1physics |
a man whose speed is 4 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1 kmph , find his average speed for the total journey ? | 0general |
20 % of a number is more than 40 % of 140 by 80 . find the number ? | 2gain |
a certain machine produces 550 units of product p per hour . working continuously at this constant rate , this machine will produce how many units of product p in 5 days ? | 1physics |
the average salary / head of all the workers ina workshop is rs . 850 , if the average salary / head of 7 technician is rs . 1000 and the average salary / head of the rest is rs . 780 , the total no . of workers in the work - shop is ? | 0general |
if the sides of a square are multiplied by sqrt ( 20 ) , the area of the original square is how many times as large as the area of the resultant square ? | 3geometry |
the average weight of 6 students decreases by 3 kg when one of them weighing 80 kg is replaced by a new student . the weight of the student is | 0general |
if 20 honey bees make 20 grams of honey in 20 days , then 1 honey bee will make 1 gram of honey in how many days ? | 1physics |
a dishonest person wants to make a profit on the selling of milk . he would like to mix water ( costing nothing ) with milk costing 33 $ per litre so as to make a profit of 60 % on cost when he sells the resulting milk and water mixture for 36 $ . in what ratio should he mix the water and milk ? | 2gain |
in town x , 65 percent of the population are employed , and 48 percent of the population are employed males . what percent of the employed people in town x are females ? | 2gain |
out of 3 consecutive odd numbers 9 times the first number is equal to addition of twice the third number and adding 9 to twice the second . what is the first number ? | 0general |
find the lcm of 23 , 46,827 | 1physics |
at a certain paint store forest green is made by mixing 4 parts blue paint with 3 parts yellow paint . verdant green is made by mixing 4 parts yellow paint with 3 parts blue paint . how many liters of yellow paint must be added to 42 liters of forest green to change it to verdant green ? | 0general |
a new home buyer pays 4 % annual interest on her first mortgage and 9 % annual interest on her second mortgage . if she borrowed a total of $ 300,000 , 80 % of which was in the first mortgage , what is her approximate monthly interest payment ? | 0general |
a metallic sheet is of rectangular shape with dimensions 48 m x 36 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 8 m , the volume of the box ( in m 3 ) is | 3geometry |
1,2 , 3,2 , 4,6 , 4,8 , _____ | 0general |
there were two candidates in an election . winner candidate received 62 % of votes and won the election by 312 votes . find the number of votes casted to the winning candidate ? | 2gain |
5358 x 52 = ? | 0general |
if x / ( 9 p ) is an odd prime number , where x is a positive integer and p is a prime number , what is the least value of x ? | 0general |
rs . 900 is divided among maya , annie , saiji so that maya receives half as much as annie and annie half as much as saiji . then saiji ’ s share is : | 0general |
a company has two models of computers , model m and model n . operating at a constant rate , a model m computer can complete a certain task in 24 minutes and a model n computer can complete the same task in 12 minutes . if the company used the same number of each model of computer to complete the task in 1 minute , how many model m computers were used ? | 1physics |
a and b together can do a work in 4 days . a alone can do it in 20 days . what time b will take to do the work alone ? | 1physics |
in a kilometer race , a beats b by 200 meters or 10 seconds . what time does a take to complete the race ? | 1physics |
if a car went the first third of the distance at 80 kmh , the second third at 15 kmh , and the last third at 48 kmh , what was the average speed of the car for the entire trip ? | 1physics |
x and y invested in a business . they earned some profit which they divided in the ratio of 2 : 6 . if x invested rs . 5,000 . the amount invested by y is | 2gain |
in a school with 5 classes , each class has 2 students less than the previous class . how many students are there in the largest class if the total number of students at school is 100 ? | 0general |
an article is bought for rs . 600 and sold for rs . 900 , find the gain percent ? | 2gain |
mark and ann together were allocated n boxes of cookies to sell for a club project . mark sold 7 boxes less than n and ann sold 2 boxes less than n . if mark and ann have each sold at least one box of cookies , but together they have sold less than n boxes , what is the value of n ? | 0general |
total 15 cows 5 cow gives each 2 liter milk 5 cow gives each 3 / 4 liter milk 5 cow gives each 1 / 4 liter milk this is split into 3 son per each 5 cows & 5 liter milk how ? | 0general |
given f ( x ) = 3 x – 5 , for what value of x does 2 * [ f ( x ) ] – 19 = f ( x – 4 ) ? | 0general |
a committee is reviewing a total of 20 x black - and - white films and 8 y color films for a festival . if the committee selects y / x % of the black - and - white films and all of the color films , what fraction of the selected films are in color ? | 0general |
if | 4 x + 2 | = 46 , what is the sum of all the possible values of x ? | 0general |
there are 780 male and female participants in a meeting . half the female participants and one - quarterof the male participants are democrats . one - third of all the participants are democrats . how many of the democrats are female ? | 0general |
there are 680 students in a school . the ratio of boys and girls in this school is 3 : 5 . find the total of girls & boys are there in this school ? | 5other |
in a clothing store , there are 6 different colored neckties ( orange , yellow , green , blue , and indigo ) and 5 different colored shirts ( orange , yellow , green , blue , and indigo ) that must be packed into boxes for gifts . if each box can only fit one necktie and one shirt , what is the probability that all of the boxes will contain a necktie and a shirt of the same color ? | 0general |
325 metres long yard , 26 trees are palnted at equal distances , one tree being at each end of the yard . what is the distance between 2 consecutive trees | 1physics |
in the coordinate plane , points ( x , 1 ) and ( 4 , y ) are on line k . if line k passes through the origin and has slope 1 / 4 , then x + y = | 0general |
the average weight of 20 persons sitting in a boat had some value . a new person added to them whose weight was 45 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 |
q and f represent two distinct digits . if the number 457 q 89 f is divisible by 36 , what is the value of ( q + f ) ? | 0general |
the total population of dogs in a community is estimated to be 50 % male and 50 % female . the total number of black dogs is 20 % greater than the total number of male black dogs . if the total number of female dogs is 8 times more than the number of female black dogs what percentage of male dogs is black ? | 0general |
when magnified 1,000 times by an electron microscope , the image of a certain circular piece of tissue has a diameter of 0.3 centimeter . the actual diameter of the tissue , in centimeters , is | 3geometry |
the ratio 25 : 50 expressed as percent equals to | 0general |
a man is 22 years older than his son . in two years , his age will be twice the age of his son . what is the present age of his son ? | 0general |
18 beavers , working together in a constant pace , can build a dam in 8 hours . how many hours will it take 36 beavers that work at the same pace , to build the same dam ? | 1physics |
2 + 4 | 0general |
maxwell leaves his home and walks toward brad ' s house at the same time that brad leaves his home and runs toward maxwell ' s house . if the distance between their homes is 30 kilometers , maxwell ' s walking speed is 4 km / h , and brad ' s running speed is 6 km / h , what is the distance traveled by brad ? | 1physics |
a pump can fill a tank with water in 2 hours . because of a leak , it took 2 1 / 6 hours to fill the tank . the leak can drain all the water of the tank in ? | 1physics |
10 people went to a hotel for combine dinner party 5 of them spent rs . 20 each on their dinner and rest spent 4 more than the average expenditure of all the 10 . what was the total money spent by them . | 0general |
a sum is divided among w , x and y in such a way that for each rupee w gets , x gets 30 paisa and y gets 20 paisa . if the share of w is rs . 10 , what is the total amount ? | 0general |
a plant manager must assign 12 new workers to one of five shifts . she needs a first , second , and third shift , and two alternate shifts . each of the shifts will receive 4 new workers . how many different ways can she assign the new workers ? | 1physics |
a car was driving at 66 km / h for 30 minutes , and then at 100 km / h for another 45 minutes . what was its average speed ? | 0general |
if the price of a book is first decreased by 30 % and then increased by 20 % , then the net change in the price will be : | 0general |
what is theleast number should be added to 519 , so the sum of the number is completely divisible by 25 ? | 0general |
a man can do a piece of work in 10 days , but with the help of his son , he can do it in 4 days . in what time can the son do it alone ? | 1physics |
find the next term 88 , 62 , . . ? | 0general |
the cash difference between the selling prices of an book at a profit of 2 % and 4 % is $ 3 . the ratio of the two selling prices is : | 2gain |
how long does a train 100 m long running at the speed of 75 km / hr takes to cross a bridge 135 m length ? | 1physics |
what is the smallest positive integer x , such that 7000 x is a perfect cube ? | 3geometry |
if x = 1 - 5 t and y = 2 t - 1 , then for what value of t does x = y ? | 0general |
a person buys an article at $ 1200 . at what price should he sell the article so as to make a profit of 40 % ? | 2gain |
there is a 75 % chance that tigers will not win at all during the whole season . there is a 25 % chance that germany will not play at all in the whole season . what is the greatest possible probability that the tigers will win and germany will play during the season ? | 4probability |
in the coordinate plane , points ( x , 8 ) and ( 20 , y ) are on line k . if line k passes through the origin and has slope 1 / 4 , then x * y = | 0general |
find the sum of first 35 odd numbers | 0general |
bill is golfing with 3 friends and can either buy generic golf tees that are packaged by the dozen or the higher quality aero flight tees that come by the pair . what is the minimum number of packages of aero flight tees bill must purchase to ensure that he has at least 20 golf tees for each member of his foursome , if he will buy no more than 2 packages of the generic golf tees ? | 0general |
a man ' s speed with the current is 20 kmph and speed of the current is 3 kmph . the man ' s speed against the current will be | 1physics |
country x imported approximately $ 1.44 billion of goods in 1996 . if country x imported $ 388 million of goods in the first two months of 1997 and continued to import goods at the same rate for the rest of the year , by how much would country xs 1997 imports exceed those of 1996 ? | 0general |
90 students represent x percent of the boys at jones elementary school . if the boys at jones elementary make up 70 % of the total school population of x students , what is x ? | 2gain |
what is the remainder when 43 ^ 88 is divided by 5 ? | 0general |
how many factors of 990 are odd numbers greater than 1 ? | 5other |
square a has an area of 25 square centimeters . square b has a perimeter of 12 centimeters . if square b is placed within square a and a random point is chosen within square a , what is the probability the point is not within square b ? | 3geometry |
the length of a rectangular plot is 20 metres more than its breadth . if the cost of fencing the plot @ 26.50 per metre is rs . 5300 , what is the length of the plot in metres ? | 1physics |
two trains 150 meters and 165 meters in length respectively are running in opposite directions , one at the rate of 80 km and the other at the rate of 65 kmph . in what time will they be completely clear of each other from the moment they meet ? | 1physics |
a train running at the speed of 50 km / hr crosses a pole in 9 sec . what is the length of the train ? | 1physics |
two - third of a positive number and 25 / 216 of its reciprocal are equal . the number is : | 0general |
if 50 % of ( x - y ) = 40 % of ( x + y ) then what percent of x is y ? | 0general |
a certain quantity of 60 % solution is replaced with 25 % solution such that the new concentration is 35 % . what is the fraction of the solution that was replaced ? | 5other |
two dogsled teams raced across a 300 mile course in wyoming . team a finished the course in 3 fewer hours than team t . if team a ' s average speed was 5 mph greater than team t ' s , what was team t ' s average mph ? | 1physics |
a boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream . if the speed of the boat in still water is 10 mph , the speed of the stream is : | 1physics |
) a cube is painted blue on all of its surfaces . it is then cut in to 27 smaller cubes of equal size . find how many smaller cubes have no color ? | 3geometry |
a rectangular field has to be fenced on three sides leaving a side of 25 feet uncovered . if the area of the field is 880 sq . feet , how many feet of fencing will be required ? | 3geometry |
x + ( 1 / x ) = 2.5 find x ^ 2 + ( 1 / x ^ 2 ) | 0general |
a = { 0 , 1 , - 3 , 6 , - 8 , - 10 } b = { - 1 , 2 , - 4 , 7 , 6 , - 9 } if a is a number that is randomly selected from set a , and b is a number that is randomly selected from set b , what is the probability that ab < 0 ? | 0general |
which number need to add to 172835 to get a number exactly divisible by 136 ? | 0general |
simplify : 99 ^ 48 / 49 * 245 . | 0general |
a boy swims downstream 91 km and upstream 21 km taking 7 hours each time , what is the speed of the boy in still water ? | 1physics |
speed of a boat in standing water is 14 kmph and the speed of the stream is 1.2 kmph . a man rows to a place at a distance of 4664 km and comes back to the starting point . the total time taken by him is : | 1physics |
the hiker walking at a constant rate of 4 miles per hour is passed by a cyclist traveling in the same direction along the same path at 10 miles per hour . the cyclist stops to wait for the hiker 5 minutes after passing her , while the hiker continues to walk at her constant rate , how many minutes must the cyclist wait until the hiker catches up ? | 1physics |
the average of first five multiples of 2 is : | 0general |
find the amount on rs . 9000 in 2 years , the rate of interest being 4 % per first year and 5 % for the second year ? | 2gain |
what decimal fraction is 40 ml of a litre ? | 1physics |
how many even integers n , such that 20 < = n < = 180 are of the form 3 k + 4 , where k is any natural number ? | 0general |
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