Problem stringlengths 5 967 | category class label 6
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a circle in the coordinate plane passes through points ( - 3 , - 2 ) and ( 2 , 4 ) . what is the smallest possible area of that circle ? | 3geometry |
if the cost price of 20 articles is equal to the selling price of 15 articles , what is the % profit or loss made by the merchant ? | 2gain |
how many positive integers less than 255 are multiple of 4 but not multiples of 6 ? | 0general |
if 2 x + y = 10 , 2 y + z = 20 and 2 x + z = 30 . where x , y , and z are real number . what is the value of 2 x ? | 0general |
in a factory , there are 50 % technicians and 50 % non - technicians . if the 50 % of the technicians and 50 % of non - technicians are permanent employees , then the percentage of workers who are temporary is ? | 2gain |
three unbiased coins are tossed , what is the probability of getting at least 2 tails ? | 4probability |
3 interviewers , x , y , and z are interviewing 40 applicants . only with 3 interviewers ' admission can an applicant be admitted . if interviewer x admitted 15 applicants , y admitted 17 applicants , and z admitted 20 applicants , at least how many applicants get the admission ? | 3geometry |
tom traveled the entire 50 miles trip . if he did the first 15 miles of at a constant rate 20 miles per hour and the remaining trip of at a constant rate 45 miles per hour , what is the his average speed , in miles per hour ? | 1physics |
shannon and maxine work in the same building and leave work at the same time . shannon lives due north of work and maxine lives due south . the distance between maxine ' s house and shannon ' s house is 60 miles . if they both drive home at the rate 2 r miles per hour , maxine arrives home 80 minutes after shannon . if maxine rider her bike home at the rate of r per hour and shannon still drives at a rate of 2 r miles per hour , shannon arrives home 2 hours before maxine . how far does maxine live from work ? | 1physics |
a manufacturer produces a certain men ' s athletic shoe in integer sizes from 8 to 17 . for this particular shoe , each unit increase in size corresponds to a 1 / 5 - inch increase in the length of the shoe . if the largest size of this shoe is 20 % longer than the smallest size , how long , in inches , is the shoe in size 15 ? | 0general |
if the cost price of 60 articles is equal to the selling price of 50 articles , then what is the percent profit ? | 2gain |
spheres a and b have their radil 40 cm and 10 cm respectively . the ratio of the surface area of a to the surface area of b is | 3geometry |
a 6 - liter solution is 35 % alcohol . how many liters of pure alcohol must be added to produce a solution that is 50 % alcohol ? | 0general |
46 x 46 = ? | 0general |
if a * b * c = 130 , b * c * d = 65 , c * d * e = 1000 and d * e * f = 250 the ( a * f ) / ( c * d ) = ? | 0general |
calculate the largest 5 digit number which is exactly divisible by 77 ? | 0general |
working at a constant rate , p can finish a job in 4 hours . q , also working at a constant rate , can finish the same job in 20 hours . if they work together for 3 hours , how many more minutes will it take p to finish the job , working alone at his constant rate ? | 1physics |
two stations p and q are 290 km apart on a straight track . one train starts from p at 7 a . m . and travels towards q at 20 kmph . another train starts from q at 8 a . m . and travels towards p at a speed of 25 kmph . at what time will they meet ? | 1physics |
free notebooks were distributed in a class among all the students . each student got notebooks which were 1 / 8 th of the number of student . if number of student been half , then each child would have received 16 notebooks in total . find the total number of books distributed among students ? | 0general |
what is the least number to be subtracted from 990 to make it a perfect square ? | 0general |
jean drew a gumball at random from a jar of pink and blue gumballs . since the gumball she selected was blue and she wanted a pink one , she replaced it and drew another . the second gumball also happened to be blue and she replaced it as well . if the probability of her drawing the two blue gumballs was 16 / 36 , what is the probability that the next one she draws will be pink ? | 0general |
if x is a sum of all even integers on the interval 13 . . . 65 and y is their number , what is the gcd ( x , y ) ? | 0general |
a child want to buy 5 new toys . if there are 15 toys that satisfy the child ' s criteria , in how many different ways can the child select the 5 new toys if the order of selection does n ' t matter . | 4probability |
two boys started running simultaneously around a circular track of length 4800 m from the same point at speeds of 60 km / hr and 100 km / hr . when will they meet for the first time any where on the track if they are moving in opposite directions ? | 1physics |
a contractor is engaged for 30 days on the condition that he receives rs . 25 for each dayhe works & is fined rs . 7.50 for each day is absent . he gets rs . 425 in all . for how many dayswas he absent ? | 1physics |
the amount of an investment will double in approximately 70 / p years , where p is the percent interest , compounded annually . if thelma invests $ 40,000 in a long - term cd that pays 5 percent interest , compounded annually , what will be the approximate total value of the investment when thelma is ready to retire 28 years later ? | 0general |
in what time will two trains cross each other completely , which are running on the same parallel lines in opposite directions , each 100 m in length both trains running with a speed of 80 kmph ? | 1physics |
the profit earned by selling an article for 892 is equal to the loss incurred when the same article is sold for 448 . what should be the sale price of the article for making 50 per cent profit ? | 2gain |
a certain sum is invested at simple interest at 15 % p . a . for two years instead of investing at 12 % p . a . for the same time period . therefore the interest received is more by rs . 720 . find the sum ? | 2gain |
fox jeans regularly sell for $ 15 a pair and pony jeans regularly sell for $ 18 a pair . during a sale these regular unit prices are discounted at different rates so that a total of $ 4 is saved by purchasing 5 pairs of jeans : 3 pairs of fox jeans and 2 pairs of pony jeans . if the sum of the two discounts rates is 18 percent , what is the discount rate on pony jeans ? | 2gain |
in a building there are 5 rooms . each having a equal area . the length of the room is 4 m and breadht is 5 m . the height of the rooms are 2 m . if 17 bricks are needed to make a square meter then how many bricks are needed to make the floor of a particular room ? | 1physics |
meena wrote all the numbers from 1 to 69,999 inclusive . how many digits did she write in total ? | 0general |
a hall is 15 m long and 12 m broad . if the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls , the volume of the hall is | 3geometry |
harkamal purchased 9 kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg . how much amount did he pay to the shopkeeper ? | 2gain |
if f ( x ) = 2 x ^ 2 + y , and f ( 2 ) = 100 , what is the value of f ( 5 ) ? | 0general |
a sum of rs . 2717 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 |
if 35 % of the 880 students at a certain college are enrolled in biology classes , how many students at the college are not enrolled in a biology class ? | 5other |
in a sample of 800 high school students in which all students are either freshmen , sophomores , juniors , or seniors , 28 percent are juniors and 75 percent are not sophomores . if there are 160 seniors , how many more freshmen than sophomores are there among the sample of students ? | 2gain |
a sum of rs . 1700 has been divided among a , b and c such that a gets of what b gets and b gets of what c gets . b ’ s share is : | 0general |
on a certain island , 5 % of the 10000 inhabitants are one - legged and half of the others go barefooted . what is the least number of shoes needed in the island ? | 0general |
a person borrows rs . 9000 for 2 years at 4 % p . a . simple interest . he immediately lends it to another person at 6 p . a for 2 years . find his gain in the transaction per year . | 2gain |
a tank holds x gallons of a saltwater solution that is 20 % salt by volume . one fourth of the water is evaporated , leaving all of the salt . when 7 gallons of water and 14 gallons of salt are added , the resulting mixture is 33 1 / 3 % salt by volume . what is the value of x ? | 0general |
a car takes 12 hours to cover a distance of 540 km . how much should the speed in kmph be maintained to cover the same direction in 3 / 4 th of the previous time ? | 1physics |
a soccer team played 140 games and won 50 percent of them . how many games did it win ? | 2gain |
how many 11 - digits number are palindromic numbers ? a palindromic number reads the same forward and backward , example 12345654321 . | 0general |
the telephone company wants to add an area code composed of 2 letters to every phone number . in order to do so , the company chose a special sign language containing 224 different signs . if the company used 222 of the signs fully and two remained unused , how many additional area codes can be created if the company uses all 224 signs ? | 0general |
a luxury liner , queen marry ii , is transporting several cats as well as the crew ( sailors , a cook , and captain ) to a nearby port . altogether , these passengers have 15 heads and 42 legs . how many cats does the ship host ? | 0general |
in 6 successive games , a baseball team scored 1 runs once , 4 runs twice , and 5 runs 3 times . what was the average ( arithmetic mean ) number of runs the team scored per game over the 6 - game period ? | 0general |
what is theleast number should be added to 410 , so the sum of the number is completely divisible by 20 ? | 0general |
the surface of a cube is 54 sq cm . find its volume ? | 3geometry |
a cistern can be filled by a tap in 5 hours while it can be emptied by another tap in 6 hours . if both the taps are opened simultaneously , then after how much time will the cistern get filled ? | 1physics |
one hour before john started walking from p to q , a distance of 23 miles , ann had started walking along the same road from q to p . ann walked at a constant speed of 3 miles per hour and john at 2 miles per hour . how many miles had ann walked when they met ? | 1physics |
( 128.5 x 60 ) + ( 13.8 x 65 ) = ? x 25 | 0general |
at a certain restaurant , the ratio of the number of cooks to the number of waiters is 3 to 11 . when 12 more waiters are hired , the ratio of the number of cooks to the number of waiters changes to 1 to 5 . how many cooks does the restaurant have ? | 5other |
on a certain day , tim invested $ 600 at 10 percent annual interest , compounded annually , and lana invested 1,000 at 5 percent annual interest , compounded annually . the total amount of interest earned by tim ’ s investment in the first 2 years was how much greater than the total amount of interest earned by lana ’ s investment in the first 2 years ? | 2gain |
john has 10 pairs of matched socks . if he loses 9 individual socks , what is the greatest number of pairs of matched socks he can have left ? | 0general |
a $ 500 investment and a $ 1,500 investment have a combined yearly return of 8.5 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 |
a trader bought a car at 30 % discount on its original price . he sold it at a 70 % increase on the price he bought it . what percent of profit did he make on the original price ? | 2gain |
in an electric circuit , two resistors with resistances x and y are connected in parallel . if r is the combined resistance of these two resistors , then the reciprocal of r is equal to the sum of the reciprocals of x and y . what is r if x is 4 ohms and y is 5 ohms ? | 0general |
the parameter of a square is equal to the perimeter of a rectangle of length 14 cm and breadth 10 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places ) ? | 3geometry |
a man invested rs . 14,400 in rs . 100 shares of a company at 20 % premium . if the company declares 6 % dividend at the end of the year , then how much does he get ? | 2gain |
calculate the circumference of a circular field whose radius is 5 centimeters . | 1physics |
two friends plan to walk along a 43 - km trail , starting at opposite ends of the trail at the same time . if friend p ' s rate is 15 % faster than friend q ' s , how many kilometers will friend p have walked when they pass each other ? | 2gain |
the ratio of money with ram and gopal is 7 : 17 and that with gopal and krishan is 7 : 17 . if ram has rs . 588 , krishan has ? | 5other |
a person travels equal distances with speeds of 4 km / hr , 8 km / hr , 12 km / hr . and takes a total time of 11 minutes . find the total distance ? | 1physics |
a man drives at a speed of 40 miles / hr . his wife left 30 mins . late with 50 miles / hr speed . when will they meet ? | 1physics |
a and b together can complete work in 8 days . a alone starts working and leaves it after working for 6 days completing only half of the work . in how many days it can be completed if the remaining job is undertaken by b ? | 1physics |
in a certain boys camp , 20 % of the total boys are from school a and 30 % of those study science . if there are 63 boys in the camp that are from school a but do not study science then what is the total number of boys in the camp ? | 2gain |
the time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream . if the speed of the boat in still water is 78 kmph , find the speed of the stream ? | 1physics |
angelina walked 960 meters from her home to the grocery at a constant speed . she then walked 480 meters to the gym at double the speed . she spent 40 seconds less on her way from the grocery to the gym than on her way from home to the grocery . what was angelina ' s speed , in meters per second , from the grocery to the gym ? | 1physics |
money invested at x % , compounded annually , triples in value in approximately every 112 / x years . if $ 3500 is invested at a rate of 8 % , compounded annually , what will be its approximate worth in 28 years ? | 2gain |
the ratio of the ages of 3 people is 4 : 6 : 7 . 8 years ago , the sum of their ages was 44 . find their present ages . | 0general |
how many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 72 kmph ? | 1physics |
a meal cost $ 35.50 and there was no tax . if the tip was more than 10 pc but less than 15 pc of the price , then the total amount paid should be : | 0general |
find the area of trapezium whose parallel sides are 20 cm and 10 cm long , and the distance between them is 10 cm . | 1physics |
a rectangular lawn of dimensions 90 m * 60 m has two roads each 10 m wide running in the middle of the lawn , one parallel to the length and the other parallel to the breadth . what is the cost of traveling the two roads at rs . 3 per sq m ? | 3geometry |
a soccer team played 158 games and won 40 percent of them . how many games did it win ? | 2gain |
the consumption of diesel per hour of a bus varies directly as square of its speed . when the bus is travelling at 70 kmph its consumption is 1 litre per hour . if each litre costs $ 70 and other expenses per hous is $ 70 , then what would be the minimum expenditure required to cover a distance of 700 km ? | 1physics |
a car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 80 kilometers per hour . at what speed , in kilometers per hour , is the car traveling ? | 1physics |
15 litres of mixture contains 20 % alcohol and the rest water . if 3 litres of water be mixed with it , the percentage of alcohol in the new mixture would be ? | 2gain |
total number of people attending a party is 600 . 70 % of the men are wearing black shirt and rest are wearing red . if 60 % of the total people are women then how many men are wearing red shirts ? | 2gain |
the mall charges 60 cents for the first hour of parking and $ 4 for each additional hour until the customer reaches 4 hours , after that the parking fee is $ 2 per hour . if edward parked his car in the mall for 7 hours and 30 minutes , how much is he going to pay ? | 1physics |
suzie ’ s discount footwear sells all pairs of shoes for one price and all pairs of boots for another price . on monday the store sold 22 pairs of shoes and 16 pairs of boots for $ 650 . on tuesday the store sold 8 pairs of shoes and 32 pairs of boots for $ 760 . how much more do pairs of boots cost than pairs of shoes at suzie ’ s discount footwear ? | 0general |
( 17 ) 5.5 x ( 17 ) ? = 178 | 0general |
in a fort , there are 1200 soldiers . if each soldier consumes 3 kg per day , the provisions available in the fort will last for 30 days . if some more soldiers join , the provisions available will last for 25 days given each soldier consumes 2.5 kg per day . find the number of soldiers joining the fort in that case . | 0general |
what least value should be replaced by * in 483 * 4312 so the number become divisible by 6 | 0general |
calculate the standard deviation of each data set { 10 , 1010 , 1010 } | 0general |
the ratio of three numbers is 3 : 4 : 7 and their product is 18144 . the numbers are | 5other |
john and david can finish a job together in 3 hours . if john can do the job by himself in 4 hours , what percent of the job does david do ? | 2gain |
the length of the longest tape in cm which can be used to measure exactly , the length 6 m ; 5 m ; and 12 m is : | 1physics |
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 84 km downstream . | 1physics |
7.007 / 2.002 = | 0general |
the average of first 40 prime numbers is ? | 0general |
the true discount on a bill due 9 months hence at 16 % per annum is rs . 198 . the amount of the bill is | 2gain |
find the number , difference between number and its 3 / 5 is 56 . | 0general |
how many seconds will a 600 m long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr ? | 1physics |
nicky and cristina are running a 200 meter race . since cristina is faster than nicky , she gives him a 12 second head start . if cristina runs at a pace of 5 meters per second and nicky runs at a pace of only 3 meters per second , how many seconds will nicky have run before cristina catches up to him ? | 1physics |
a train 200 m long is running with a speed of 54 kmph . in what will it pass a car whose speed at 36 kmph in the direction opposite to that in which the train is going | 1physics |
a sum of 12,500 amounts to 15,500 in 4 years at the rate of simple interest . what is the rate of interest ? | 2gain |
car a runs at the speed of 65 km / hr & reaches its destination in 8 hr . car b runs at the speed of 72 km / h & reaches its destination in 4 h . what is the respective ratio of distances covered by car a & car b ? | 1physics |
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