Problem stringlengths 5 967 | category class label 6
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what is the area of a square with perimeter 12 p ? | 3geometry |
exactly 10 % of the reporters for a certain wire service cover local politics in country x . if 30 % of the reporters who cover politics for the wire service do not cover local politics in country x , what percent of the reporters for the wire service do not cover politics ? | 2gain |
sachin is younger than rahul by 7 years . if the ratio of their ages is 5 : 12 , find the age of sachin | 5other |
in a 6 - sided polygon xqrstv ∠ x measures 48 ° less than the average ( arithmetic mean ) of the remaining 5 angles . what does ∠ x equal to , in degrees ? | 0general |
a train crosses a platform of 150 m in 15 sec , same train crosses another platform of length 220 m in 18 sec . then find the length of the train ? | 1physics |
if ( - 4 ) ^ ( 6 x ) = 4 ^ ( 30 + x ) and x is an integer , what is the value of x ? | 0general |
working alone , a can complete a certain kind of job in 10 hours . a and d , working together at their respective rates , can complete one of these jobs in 5 hours . in how many hours can d , working alone , complete one of these jobs ? | 1physics |
a train 360 m long is running at a speed of 45 km / hr . in what time will it pass a bridge 160 m long ? | 1physics |
man can row upstream at 10 kmph and downstream at 20 kmph , and then find the speed of the man in still water ? | 1physics |
at what rate percent of simple interest will a sum of money double itself in 44 years ? | 2gain |
which is greatest in 16 ( 2 / 3 ) % , 2 / 5 and 0.17 ? | 2gain |
the sum of first n consecutive odd integers is n ^ 2 . what is the sum of all odd integers between 11 and 41 inclusive . | 0general |
if 25 / 999 = 0.002 , what is the 81 st digit to the right of the decimal point in the decimal equivalent of the fraction ? | 0general |
if x is an integer and 6.1 × 10 ^ x is less than 620 what is the greatest possible value for x ? | 0general |
in the game of dubblefud , red balls , blue balls and green balls are each worth 2 , 4 and 5 points respectively . in a certain selection of balls , the product of the point values of the balls is 16000 . if the number of blue balls in this selection equals the number of green balls , how many red balls are in the selection ? | 0general |
if the area of a circle is 49 pi square feet , find its circumference . | 3geometry |
the chance of rain on any given day in tel - aviv is 50 % . what is the probability q that it rained in tel - aviv on exactly 4 out of 6 randomly chosen days ? | 4probability |
a man can row 4.5 km / hr in still water . it takes him twice as long to row upstream as to row downstream . what is the rate of the current ? | 0general |
sides of a rectangular park are in the ratio 4 : 3 and its area is 3750 sq m , the cost of fencing it at 50 ps per meter is ? | 1physics |
what is the smallest no . which must be added to 8261955 so as to obtain a sum which is divisible by 11 ? | 0general |
if 3 x + y = 40 , 2 x - y = 20 , for integers of x and y , 2 y ^ 2 = ? | 0general |
a ’ s speed is 20 / 14 times that of b . if a and b run a race , what part of the length of the race should a give b as a head start , so that the race ends in a dead heat ? | 0general |
what is the product of all the possible values of x if x ^ 2 ( x + 2 ) + 7 x ( x + 2 ) + 6 ( x + 2 ) = 0 ? | 0general |
jar x is 1 / 5 full of water . jar y , which has half the capacity of jar x , is 1 / 2 full of water . if the water in jar y is poured into jar x , then jar x will be filled to what fraction of its capacity ? | 0general |
a babysitter is paid a regular rate of $ 16 per hour for any number of hours that does not exceed 30 hours per week . for any overtime hours worked in excess of 30 hours per week , the babysitter is paid a rate that is 75 % higher than his regular rate . if last week the babysitter earned $ 760 , how many total hours did she work that week ? | 2gain |
by travelling at 80 kmph , a person reaches his destination on time . he covered two - third the total distance in one - third of the total time . what speed should he maintain for the remaining distance to reach his destination on time ? | 1physics |
two employees m and n are paid a total of $ 594 per week by their employer . if m is paid 120 percent of the salary paid to n , how much is n paid per week ? | 0general |
excluding stoppages , the speed of a bus is 50 kmph and including stoppages , it is 42 kmph . for how many minutes does the bus stop per hour ? | 1physics |
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 ( 2 # 3 ) + ( 2 # 3 ) – ( 3 # 3 ) is equal to | 0general |
the length of a rectangle is two - fifths of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 900 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 10 units ? | 3geometry |
a rectangular grass field is 60 m * 55 m , it has a path of 2.5 m wide all round it on the outside . find the area of the path and the cost of constructing it at rs . 2 per sq m ? | 3geometry |
a clock shows the time as 9 a . m . if the minute hand gains 5 minutes every hour , how many minutes will the clock gain by 5 p . m . ? | 1physics |
a plant manager must assign 6 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 2 new workers . how many different ways can she assign the new workers ? | 1physics |
the average of first four multiples of 4 is : | 0general |
an item is being sold for $ 10 each . however , if a customer will “ buy at least 3 ” they have a promo discount of 15 % . also , if a customer will “ buy at least 10 ” items they will deduct an additional 28 % to their “ buy at least 3 ” promo price . if sam buys 10 pcs of that item how much should he pay ? | 2gain |
what is the sum of the greatest common factor and the lowest common multiple of 45 and 125 ? | 0general |
the chance of rain on any given day in tel - aviv is 50 % . what is the probability e that it rained in tel - aviv on exactly 4 out of 6 randomly chosen days ? | 4probability |
you collect pens . suppose you start out with 10 . mike gives you another 22 pens . since her father makes pens , cindy decides to double your pens . since you ' re nice , you give sharon 19 pens . how many pens do you have at the end ? | 0general |
how many integer values are there for x such that 1 < 3 x + 5 < 17 ? | 0general |
a portion of the 85 % solution of chemicals was replaced with an equal amount of 30 % solution of chemicals . as a result , 40 % solution of chemicals resulted . what part of the original solution was replaced ? | 2gain |
if the price of a book is first decreased by 20 % and then increased by 20 % , then the net change in the price will be : | 0general |
a basketball is dropped from a height of 30 feet . if it bounces back up to a height that is exactly half of its previous height , and it stops bouncing after hitting the ground for the fourth time , then how many total feet will the ball have traveled after 3 full bounces . | 0general |
two cyclist start on a circular track from a given point but in opposite direction with speeds of 7 m / s and 8 m / s . if the circumference of the circle is 600 meters , after what time will they meet at the starting point ? | 1physics |
praveen age after 10 years will be 3 times his age 3 years back . what is the present age of chris ? | 0general |
how many multiples of 2 are there between 10 and 52 , 10 and 52 inclusive ? | 0general |
what is the next number 12 13 15 17 111 113 117 119 123 129 ? | 0general |
david works at a resort from the beginning of march to the end of september . during the month of august this past year , he made 2 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 |
if the average of 10 x and 8 y is greater than 70 , and x is twice y , what is the least integer value of x ? | 0general |
when processing flower - nectar into honey bees ' extract , a considerable amount of water gets reduced . how much flower - nectar must be processed to yield 1 kg of honey , if nectar contains 50 % water , and the honey obtained from this nectar contains 35 % water ? | 0general |
a sum of money is put out at compound interest for 2 years at 20 % . it would fetch rs . 1205 more if the interest were payable half - yearly , then it were pay able yearly . find the sum . | 0general |
cindy has her eye on a sundress but thinks it is too expensive . it goes on sale for 15 % less than the original price . before cindy can buy the dress , however , the store raises the new price by 25 % . if the dress cost $ 61.2 after it went on sale for 15 % off , what is the difference between the original price and the final price ? | 0general |
the smallest number which when diminished by 12 , is divisible 12 , 24 , 36 , 48 and 56 is : | 0general |
there are 100 students in 3 sections a , b and c of a class . the average marks of all the 3 sections was 84 . the average of b and c was 87.5 and the average marks of students in a section was ? | 0general |
a trader bought a car at 5 % discount on its original price . he sold it at a 60 % increase on the price he bought it . what percent of profit did he make on the original price ? | 2gain |
the mean daily profit made by a shopkeeper in a month of 30 days was rs . 350 . if the mean profit for the first fifteen days was rs . 275 , then the mean profit for the last 15 days would be | 2gain |
two trains of length 100 m and 200 m are 100 m apart . they start moving towards each other on parallel tracks , at speeds 18 kmph and 72 kmph . in how much time will the trains cross each other ? | 1physics |
if x : y = 1 : 3 , find the value of ( 2 x + 3 y ) : ( 5 x – y ) | 0general |
if x # y is defined to equal x ^ 3 / y for all x and y , then ( - 1 # 2 ) # 3 = | 0general |
in a restaurant , the profit is 150 % of the cost . if the cost increases by 12 % but the selling price remains constant , approximately what percentage of the selling price is the profit ? | 2gain |
a can contains a mixture of liquids a and b is the ratio 7 : 5 . when 9 litres of mixture are drawn off and the can is filled with b , the ratio of a and b becomes 7 : 9 . how many liter e of liquid a was contained by the can initially ? | 5other |
a can do a piece of work in 14 days . when he had worked for 2 days b joins him . if the complete work was finished in 8 days . in how many days b alone can finish the work ? | 1physics |
8 chess players take part in a tournament . every player plays twice with each of his opponents . how many games are to be played ? | 0general |
a small college reduced its faculty by approximately 14 percent to 195 professors . what was the original number of faculty members ? | 2gain |
one fourth of one third of two fifth of a number is 16 . what will be 40 % of that number | 2gain |
hree number are in the ratio of 3 : 4 : 5 and their l . c . m . is 2400 . their h . c . f . is : | 5other |
the length of a rectangle is two - fifths of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 625 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 10 units ? | 3geometry |
if x + y = 250 , x - y = 200 , for integers of x and y , y = ? | 0general |
if the area of a circle is 36 pi square feet , find its circumference . | 3geometry |
to fill a tank , 42 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 - fifths of its present ? | 1physics |
a factory produces 1 defective bulb out of 10 bulbs a yr . if it produces 870 bulbs a yr , how many defective bulbs are produced ? | 5other |
the area of an isosceles trapezoid with sides of length 5 and bases of length 10 and 16 is ? | 3geometry |
find the principal which yields a simple interest of rs . 20 and compound interest of rs . 25 in two years , at the same percent rate per annum ? | 2gain |
a shopkeeper sells 400 metres of cloth for $ 18000 at a loss of rs . 5 per metre . find his cost price for one metre of cloth ? | 2gain |
36 * 36 * 36 = 6 ^ ? | 0general |
what is the least number which when divided by 5 , 9 , 12 and 18 leaves remainder 4 in each care ? | 0general |
abhinav and bhupathi together have rs . 1210 . if 4 / 15 of abhinav ' s amount is equal to 2 / 5 of bhupathi ' s amount , how much amount does bhupathi have ? | 0general |
difference of two numbers is 1620 . if 7.5 % of the number is 12.5 % of the other number , find the number ? | 2gain |
a shirt goes on sale for 60 % of its original price . one week later , the sale price is marked down 10 % . the final price is what percent of the original price ? | 2gain |
two trains , one from howrah to patna and the other from patna to howrah , start simultaneously . after they meet , the trains reach their destinations after 9 hours and 16 hours respectively the ratio of their speeds is | 1physics |
61 small identical cubes are used to form a large cube . how many more cubes are needed to add one top layer of small cube all over the surface of the large cube ? | 3geometry |
pipe a can fill a tank in 5 hr , pipe b in 10 hr and pipe c in 30 hr . if all the pipes are open in how many hours will tank be filled ? | 1physics |
a pipe takes a hours to fill the tank . but because of a leakage it took 5 times of its original time . find the time taken by the leakage to empty the tank | 1physics |
the average weight of 19 students is 15 kg . by the admission of a new student the average weight is reduced to 14.7 kg . the weight of the new student is ? | 0general |
sandy walked 20 meters towards south . then sandy turned to her left and walked 20 meters . she then turned to her left and walked 20 meters . she then turned to her right and walked 20 meters . what distance is she from the starting point and in which direction ? | 1physics |
the following questions are based on the information given . choose the appropriate answer that suits the question based on the information . a cube is cut in two equal parts along a plane parallel to one of its faces . one piece is then colored red on the two larger faces and green on remaining . while the other is colored green on two smaller adjacent faces and red on the remaining . each is then cut into 32 cubes of same size and mixed up . 21 . how many cubes have only one colored face each ? | 3geometry |
the value of a scooter depreciates in such a way that its value of the end of each year is 3 / 4 of its value of the beginning of the same year . if the initial value of the scooter is rs . 40,000 , what is the value at the end of 2 years ? | 0general |
a committee is reviewing a total of 20 x black - and - white films and 6 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 e of the selected films are in color ? | 0general |
a wooden box of dimensions 8 m x 7 m x 6 m is to carry rectangularboxes of dimensions 4 cm x 7 cm x 6 cm . the maximum number ofboxes that can be carried in the wooden box , is | 1physics |
a searchlight on top of the watch - tower makes 3 revolutions per minute . what is the probability that a man appearing near the tower will stay in the dark for at least 10 seconds ? | 1physics |
the time it took car p to travel 750 miles was 2 hours less than the time it took car r to travel the same distance . if car p ’ s average speed was 10 miles per hour greater than that of car r , what was car r ’ s average speed , in miles per hour ? | 1physics |
if 5 % more is gained by selling an book for $ 350 than by selling it for $ 340 , the cost of the book is : | 2gain |
find the number which when added to itself 13 times , gives 112 . | 0general |
there are 6 red shoes & 4 green shoes . if two of red shoes are drawn what is the probability of getting red shoes | 4probability |
a batsman makes a score of 200 runs in the 17 th inning and thus increases his averages by 10 what is his average after 17 th inning ? | 0general |
a certain number when divided by 110 leaves a remainder 25 , what is the remainder if the same no . be divided by 15 ? | 0general |
if w and y are both odd prime numbers and w < y , how many distinct positive integer factors does 2 wy have ? | 5other |
in goshawk - eurasian nature reserve 30 percent of the birds are hawks , and 40 percent of the non - hawks are paddyfield - warblers . if there are 25 percent as many kingfishers as paddyfield - warblers in the reserve , then what percent of the birds r in the nature reserve are not hawks , paddyfield - warblers , or kingfishers ? | 0general |
what is the remainder when 8 ^ 1 + 8 ^ 2 + 8 ^ 3 + . . . + 8 ^ 9 is divided by 4 ? | 0general |
the sides of a rectangular field are in the ratio 3 : 4 . if the area of the field is 8112 sq . m , the cost of fencing the field @ 25 paise per metre is | 1physics |
a sum was put at simple interest at a certain rate for 5 years had it been put at 6 % higher rate , it would have fetched 90 more . find the sum . | 2gain |
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