Problem stringlengths 5 967 | category class label 6
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a train traveling at 100 kmph overtakes a motorbike traveling at 64 kmph in 85 seconds . what is the length of the train in meters ? | 1physics |
how many three digit numbers q are divisible by 78 or 91 ? | 0general |
how many numbers from 2 to 9 are exactly divisible by 2 ? | 0general |
p , q , r enter into a partnership & their share are in the ratio 1 / 2 : 1 / 3 : 1 / 4 , after two months , p withdraws half of the capitals & after 10 months , a profit of rs 378 is divided among them . what is q ' s share ? | 0general |
if a ( a + 5 ) = 36 and b ( b + 5 ) = 36 , where a ≠ b , then a + b = | 0general |
a computer is programmed to multiply consecutive even integers 2 * 4 * 6 * 8 * … * n until the product is divisible by 2013 , what is the value of n ? | 0general |
billy worked for 3 straight hours on his homework questions . if he solved 132 questions in the third hour , which was twice as many as he solved in the second hour , and 3 times as many questions as he solved in the first hour , how many questions did he solve total ? | 1physics |
if e = x ^ 4 + y ^ 4 = 100 , then the greatest possible value of x is between | 0general |
a man buys an item at rs . 750 and sells it at the loss of 10 percent . then what is the selling price of that item | 2gain |
what is the remainder when 7 ^ 74 - 5 ^ 74 is divided by 2 ? | 0general |
the average of 13 numbers is 60 . average of the first 7 of them is 55 and that of the last 7 is 61 . find the 8 th number ? | 0general |
how many two - digit numbers yield a remainder of 1 when divided by both 6 and 15 ? | 0general |
for what value of â € œ k â € will the equation ( 2 kx 2 + 3 kx + 2 ) = 0 have equal roots ? | 0general |
if 9 parallel lines in a plane is intersected by a family of another 8 parallel lines , how many parallelograms are there in the network thus formed ? | 1physics |
entry fee in an examination was re . 1 . later , this was reduced by 25 % which increased the sale by 20 % . the percentage increase in the number of visitors is | 0general |
a , b and c can do a piece of work in 7 days , 21 days and 28 days respectively . how long will they taken , if all the three work together ? | 1physics |
a retailer bought a machine at a wholesale price of $ 126 and later on sold it after a 10 % discount of the retail price . if the retailer made a profit equivalent to 20 % of the whole price , what is the retail price of the machine ? | 2gain |
if rs . 10 be allowed as true discount on a bill of rs . 110 at the end of a certain time , then the discount allowed on the same sum due at the end of double the time is | 0general |
the grade point average of the entire class is 85 . if the average of one third of the class is 97 , what is the average of the rest of the class ? | 0general |
the diameter of a wheel is 0.7 m . how far will it travel in 200 revolutions | 1physics |
keats library purchases a number of new books , all in the category of biography , and the library does not acquire any other books . with the addition of the new biographies , the biography collection of the library amounts to 35 % of the total number of books in the library . if prior to the purchase , only 20 % of the books in keats library were biographies , by what percent has the number of biographies in the library increased ? | 0general |
two 6 faced dice are thrown together . the probability that both show the same number on them is ? | 5other |
what is the area of square field whose side of length 16 m ? | 3geometry |
if the average marks of 3 batches of 40 , 50 and 60 students respectively is 45 , 55 , 65 , what is the average marks of all the students ? | 0general |
in what ratio must rice of rs . 16 per kg be mixed with rice of rs . 10 per kg so that cost of mixture is rs . 12 per kg ? | 5other |
in a bus left side are 15 seats available , 3 few seats in right side because in rear exit door . each seat hold 3 people . in addition , there is a seat back can sit 10 people all together . how many people can sit in a bus ? | 0general |
if 4 < x < 8 < y < 12 , then what is the greatest possible positive integer difference of x and y ? | 0general |
the average mark of the students of a class in a particular exam is 80 . if 5 students whose average mark in that exam is 70 are excluded , the average mark of the remaining will be 90 . find the number of students who wrote the exam . | 0general |
what annual payment will discharge a debt of rs . 6450 due in 4 years at 5 % per annum ? | 2gain |
in township k each property is taxed at 8 percent of its assessed value . if the assessed value of a property in township k is increased from $ 18,000 to $ 28,000 , by how much will the property tax increase ? | 0general |
at a special sale , 8 tickets can be purchased for the price of 6 tickets . if 8 tickets are purchased at the sale , the amount saved will be what percent of the original price of the 8 tickets ? | 2gain |
when y is divided by 276 , the remainder is 44 . what is the remainder when the same y is divided by 23 ? | 0general |
the cricket team of 11 members is 29 yrs old & the wicket keeper is 3 yrs older . if the ages ofthese 2 are excluded , the average age of theremaining players is 1 year less than the average age of the whole team . what is the average age of the team ? | 0general |
what is the greater of the two numbers whose product is 2560 , given that the sum of the two numbers exceeds their difference by 64 ? | 0general |
a cistern which could be filled in 5 hours takes one hour more to be filled owing to a leak in its bottom . if the cistern is full in what time will the leak empty it ? | 1physics |
excluding stoppages , the speed of a train is 60 kmph and including stoppages it is 36 kmph . of how many minutes does the train stop per hour ? | 1physics |
find value for x from below equation ? x + 1 = 3 | 0general |
the angle between the minute hand and the hour hand of a clock when the time is 12.30 , is | 1physics |
jane started baby - sitting when she was 18 years old . whenever she baby - sat for a child , that child was no more than half her age at the time . jane is currently 32 years old , and she stopped baby - sitting 12 years ago . what is the current age of the oldest person for whom jane could have baby - sat ? | 0general |
what is the remainder of r = 3 ^ 19 when divided by 10 ? | 0general |
john makes $ 30 a week from his job . he earns a raise andnow makes $ 40 a week . what is the % increase ? | 2gain |
line m lies in the xy - plane . the y - intercept of line m is - 2 , and line m passes through the midpoint of the line segment whose endpoints are ( 2 , 8 ) and ( 6 , - 4 ) . what is the slope of line m ? | 0general |
the annual birth and death rate in a country per 1000 are 39.4 and 19.4 respectively . the number of years b in which the population would be doubled assuming there is no emigration or immigration is | 0general |
if 36 men can do a piece of work in 5 hours , in how many hours will 15 men do it ? | 1physics |
in business , a and c invested amounts in the ratio 4 : 2 , whereas the ratio between amounts invested by a and b was 4 : 1 , if rs 20,000 was their profit , how much amount did a receive . | 2gain |
if the average of 10 consecutive integers is 24.5 then the 10 th integer is : - | 0general |
the letters o , l and t are rearranged to form the word ' lot ' . find its probability . | 4probability |
the product of two numbers is 168 and the sum of their squares is 289 . the sum of the number is ? | 0general |
a teacher grades students ’ tests by subtracting twice the number of incorrect responses from the number of correct responses . if student a answers each of the 100 questions on her test and receives a score of 64 , how many questions did student a answer correctly ? | 0general |
on the richter scale , which measures the total amount of energy released during an earthquake , a reading of x - 1 indicates one - tenth the released energy as is indicated by a reading of x . on that scale , the frequency corresponding to a reading of 7 is how many times as great as the frequency corresponding to a reading of 2 ? | 0general |
a wildlife preserve is being planned for 8000 rhinoceroses . the preserve is to contain a total of 10000 acres of watering area , plus 100 acres of grazing area for each rhinoceros . if the number of rhinoceroses is expected to increase by 10 percent , how many 1000 acres should the preserve have in order to provide for the increased population ? | 0general |
at a certain organisation , the number of male members went up by 14 % in the year 2001 from year 2000 , and the number of females members went down by 6 % in the same time period . if the total membership at the organisation went up by 1.2 % from the year 2000 to 2001 , what was the ratio of male members to female members in the year 2000 ? | 5other |
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 50 kilometers , maxwell ' s walking speed is 4 km / h , and brad ' s running speed is 6 km / h . what is the distance traveled by maxwell when they meet in the middle ? | 1physics |
a tourist does not have to pay tax on the first $ 600 of goods he purchases in country b , but does have to pay a 10 percent tax on the portion of the total value that is in excess of $ 600 . what tax must be paid by a tourist if he buys goods with a total value of $ 1720 ? | 0general |
a man is 37 years older than his son . in two years , his age will be twice the age of his son . the present age of this son is | 0general |
what is the sum of the digits of integer k , if k = ( 10 ^ 40 - 79 ) | 0general |
by investing in 16 % stock at 64 , one earns rs . 1500 . the investment made is : | 2gain |
if 80 percent of 600 is 50 percent of x , then x = ? | 0general |
if a 2 + b 2 + c 2 = 560 and ab + bc + ca = 8 , then a + b + c is | 0general |
a man whose speed is 6.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 2.5 kmph , find his average speed for the total journey ? | 0general |
a shopkeeper buys two articles for rs . 1000 each and then sells them , making 15 % profit on the first article and 15 % loss on second article . find the net profit or loss percent ? | 2gain |
a and b can do a work in 8 days , b and c can do the same work in 12 days . a , b and c together can finish it in 6 days . a and c together will do it in how many days ? | 1physics |
the volume of a sphere with radius r is ( 4 / 3 ) * pi * r ^ 3 and the surface area is 4 * pi * r ^ 3 . if a sperical balloon has a volume of 288 pi cubic centimeters , what is hte surface area of the balloon in square centimeters ? | 3geometry |
the percentage increase in the area of rectangle , if each of its side is increased by 10 % is ? | 3geometry |
a fill pipe can fill 1 / 2 of cistern in 35 minutes . in how many minutes , it can fill 1 / 2 of the cistern ? | 1physics |
a rectangular grass field is 75 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 . 1 per sq m ? | 3geometry |
the diameter of a cylindrical tin is 6 cm and height is 5 cm . find the volume of the cylinder ? | 3geometry |
b completes a work in 9 days . a alone can do it in 10 days . if both work together , the work can be completed in how many days ? | 1physics |
if a ( a + 7 ) = 18 and b ( b + 7 ) = 18 , where a ≠ b , then a + b = | 0general |
the average ( arithmetic mean ) of the even integers from 0 to 80 inclusive is how much greater than the average ( arithmetic mean ) of the even integers from 0 to 40 inclusive ? | 0general |
the number of sailors on a ship is 80 % more than the number of officers . the ratio of sailors to officers would be | 5other |
angelo and isabella are both salespersons . in any given week , angelo makes $ 550 in base salary plus 8 percent of the portion of his sales above $ 1,000 for that week . isabella makes 10 percent of her total sales for any given week . for what amount of weekly sales would angelo and isabella earn the same amount of money ? | 0general |
a small college reduced its faculty by approximately 20 percent to 195 professors . what was the original number of faculty members ? | 2gain |
the arithmetic mean and standard deviation of a certain normal distribution are 15.5 and 1.5 , respectively . what value is exactly 2 standard deviations less than the mean ? | 0general |
the greatest number that divides 180 , 565 and 705 leaving remainder 5 , 5 and 5 respectively is : | 0general |
how many positive integers less than 100 have a remainder of 4 when divided by 13 ? | 0general |
how many of the positive divisors f of 120 are also multiples of 4 not including 120 ? | 0general |
a circle is inscribed in a triangle of side 6 cm . and a square is inscribed in the circle . what is the area of square ? | 3geometry |
two trains 111 meters and 165 meters in length respectively are running in opposite directions , one at the rate of 60 km and the other at the rate of 90 kmph . in what time will they be completely clear of each other from the moment they meet ? | 1physics |
what is the average of first 20 multiples of 7 ? | 0general |
all the milk in container a which was filled to its brim was poured into two containers b and c . the quantity of milk in container b was 62.5 % less than the capacity of container a . if 148 liters was now transferred from c to b , then both the containers would have equal quantities of milk . what was the initial quantity of milk in container a ? | 0general |
in a division sum , the divisor is 10 times the quotient and 5 times the remainder . if the remainder is 46 , the dividend is | 0general |
in one alloy there is 12 % chromium while in another alloy it is 8 % . 15 kg of the first alloy was melted together with 40 kg of the second one to form a third alloy . find the percentage of chromium in the new alloy . | 2gain |
the owner of a furniture shop charges his customer 15 % more than the cost price . if a customer paid rs . 5750 for a computer table , then what was the cost price of the computer table ? | 2gain |
when positive integer n is divided by 5 , the remainder is 1 . when n is divided by 7 , the remainder is 3 . what is the smallest positive integer k such that k + n is a multiple of 36 . | 0general |
on june 1 a bicycle dealer noted that the number of bicycles in stock had decreased by 4 for each of the past 5 months . if the stock continues to decrease at the same rate for the rest of the year , how many fewer bicycles will be in stock on october 1 than were in stock on january 1 ? | 2gain |
when positive integer n is divided by positive integer j , the remainder is 5 . if n / j = 105.20 , what is value of j ? | 0general |
the speed at which a man can row a boat in still water is 9.5 kmph . if he rows downstream , where the speed of current is 8.5 kmph , what time will he take to cover 45.5 metres ? | 1physics |
in what time will a railway train 65 m long moving at the rate of 36 kmph pass a telegraph post on its way ? | 1physics |
of 70 players on a football team , 46 are throwers . the rest of the team is divided so one third are left - handed and the rest are right handed . assuming that all throwers are right handed , how many right - handed players are there total ? | 0general |
how many minutes will it take for a car that is traveling at a constant rate of 9 miles per hour to travel a distance of 106 yards ? ( 1 mile = 1,160 yards ) | 1physics |
in a can , there is a mixture of milk and water in the ratio 4 : 5 . if it is filled with an additional 8 litres of milk the can would be full and ratio of milk and water would become 6 : 5 . find the capacity of the can ? | 0general |
in a race of 1000 m , a can beat by 100 m , in a race of 800 m , b can beat c by 100 m . by how many meters will a beat c in a race of 800 m ? | 1physics |
5 ^ 100 is divided by 18 then what is the remainder ? | 0general |
if ( a + b ) = 4 , ( b + c ) = 7 and ( c + d ) = 5 , what is the value of ( a + d ) ? | 0general |
the average of 45 results is 8 . the average of first 22 of them is 15 and that of last 22 is 20 . find the 23 result ? | 0general |
a man started driving at a constant speed , from the site of a blast , the moment he heard the blast . he heard a second blast after a time of 30 mins and 20 seconds . if the second blast occurred exactly 30 mins after the first , how many meters was he from the site when he heard the second blast ? ( speed of sound = 330 m / s ) | 1physics |
in the set of positive integers from 1 to 70 , what is the sum of all the odd multiples of 5 ? | 0general |
if the area of a triangle with base 6 cm is equal to the area of a square with side 6 cm , then the altitude of the triangle is | 3geometry |
what is the remainder when 1014 * 1047 * 1050 * 1053 is divided by 33 ? | 0general |
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