Problem stringlengths 5 967 | category class label 6
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if the selling price of 50 articles is equal to the cost price of 45 articles , then the loss or gain percent is : | 2gain |
the average marks of a class of 20 students is 40 and that of another class of 50 students is 60 . find the average marks of all the students ? | 0general |
in a certain circle there are 9 points . what is the number of the triangles connecting 3 points of the 9 points ? | 3geometry |
in shop there are 10 bulbs , a total of 4 are defective . if a customer buys 4 bulbs selected at random from the box , what is the probability that neither bulbs will be defective ? | 0general |
if x + | x | + y = 2 and x + | y | - y = 6 what is x + y = ? | 0general |
employees of a certain company are each to receive a unique 5 - digit identification code consisting of the digits 0 , 1 , 2 , 3 , and 4 such that no digit is used more than once in any given code . in valid codes , the second digit in the code is exactly twice the first digit . how many valid codes are there ? | 0general |
36 men can complete a piece of work in 18 days . in how many days will 72 men complete the same work ? | 1physics |
in a room filled with 7 people , 4 people have exactly 1 sibling in the room and 3 people have exactly 3 siblings in the room . if two individuals are selected from the room at random , what is the probability that those two individuals are not siblings ? | 0general |
if p is the product of the integers from 1 to 34 , inclusive , what is the greatest integer k for which 3 ^ k is a factor of p ? | 0general |
a present value of a machine is $ 2500 . its value depletiation rate is 5 % per annum then find the machine value after 2 years ? | 2gain |
the sum of the squares of the first 15 positive integers ( 1 ^ 2 + 2 ^ 2 + 3 ^ 2 + . . . + 15 ^ 2 ) is equal to 1280 . what is the sum of the squares of the second 15 positive integers ( 16 ^ 2 + 17 ^ 2 + 18 ^ 2 + . . . + 30 ^ 2 ) ? | 0general |
the diameter of the wheel of a car is 120 m . how many revolution / min must the wheel makein order to keep a speed of 60 km / hour approximately ? | 1physics |
each light bulb at a hotel is either incandescent or fluorescent . at a certain moment , thirty percent of the incandescent bulbs are switched on , and eighty percent of the fluorescent bulbs are switched on . if 70 percent of all the bulbs are switched on at this moment , what percent of the bulbs that are switched on are incandescent ? | 2gain |
a chemist mixes one liter of pure water with x liters of a 40 % salt solution , and the resulting mixture is a 20 % salt solution . what is the value of x ? | 2gain |
the average age of students of a class is 15.8 years . the average age of boys in the class is 16.4 years and that of the girls is 15.5 years . the ration of the number of boys to the number of girls in the class is ? | 0general |
consider a right circular cone of base radius 4 and height 10 cm . a cylinder is to be placed inside the cone with one of the flat surface resting on the base of the cone . find the largest possible total surface area ( in sq cm ) of the cylinder . | 3geometry |
a football field is 10800 square yards . if 1200 pounds of fertilizer are spread evenly across the entire field , how many pounds of fertilizer were spread over an area of the field totaling 3600 square yards ? | 3geometry |
two same glasses are respectively 1 / 4 th 1 / 5 th full of milk . they are then filled with water and the contents mixed in a tumbler . the ratio of milk and water in the tumbler is ? | 0general |
the area of a rectangle is 15 square centimeters and the perimeter is 16 square centimeters . what are the dimensions of the rectangle ? | 3geometry |
sales price is $ 91 , gross profit is 160 % of cost , what is the value of gross profit ? | 2gain |
a number exceeds by 25 from its 3 / 8 part . then the number is ? | 0general |
in an it company , there are a total of 70 employees including 50 programmers . the number of male employees is 80 , including 35 male programmers . how many employees must be selected to guaranty that we have 3 programmers of the same sex ? | 0general |
in the first 10 overs of a cricket game , the run rate was only 3.2 . what should be the rate in the remaining 40 overs to reach the target of 272 runs ? | 2gain |
a certain basketball team that has played 2 / 3 of its games has a record of 16 wins and 4 losses . what is the greatest number of the remaining games that the team can lose and still win at least 3 / 4 of all of its games ? | 0general |
sari and ken climb up a mountain . at night , they camp together . on the day they are supposed to reach the summit , sari wakes up at 06 : 00 and starts climbing at a constant pace . ken starts climbing only at 08 : 00 , when sari is already 800 meters ahead of him . nevertheless , ken climbs at a constant pace of 500 meters per hour , and reaches the summit before sari . if sari is 50 meters behind ken when he reaches the summit , at what time did ken reach the summit ? | 1physics |
boy sells a book for rs . 800 he gets a loss of 20 % , to gain 10 % , what should be the sp ? | 2gain |
the age of somu is one - third his father ' s . 9 years back he was one - fifth of his father ' s age . what is his persent age ? | 0general |
at a certain committee meeting only associate professors and assistant professors are present . each associate professor has brought 2 pencils and 1 chart to the meeting , while each assistant professor has brought 1 pencil and 2 charts . if a total of 11 pencils and 16 charts have been brought to the meeting , how many people are present ? | 0general |
a garrison of 400 men had a provision for 31 days . after 20 days 180 persons re - enforcement leave the garrison . find the number of days for which the remaining ration will be sufficient ? | 5other |
a goods train leaves a station at a certain time and at a fixed speed . after ^ hours , an express train leaves the same station and moves in the same direction at a uniform speed of 90 kmph . this train catches up the goods train in 4 hours . find the speed of the goods train . | 1physics |
ram and shakil run a race of 2000 meters . first , ram gives shakil a start of 200 meters and beats him by one minute . if , ram gives shakil a start of 6 minutes ram is beaten by 1000 meters . find the time in minutes in which ram and shakil can run the races separately . | 1physics |
rahul can do a work in 3 days while rajesh can do the same work in 2 days . both of them finish the work together and get $ 355 . what is the share of rahul ? | 1physics |
a certain fruit stand sold apples for $ 0.70 each and cherry for $ 0.50 each . if a customer purchased both apples and bananas from the stand for a total of $ 6.30 , what total number of apples and bananas did the customer purchase ? | 5other |
the element being searched for is not found in an array of 100 elements . what is the average number of comparisons needed in a sequential search to determine that the element is not there , if the elements are completely unordered ? | 0general |
what is 15 % of 2 / 3 of 0.7 ? | 2gain |
what is the greatest integer m for which the number 50 ! / 14 ^ m is an integer ? | 0general |
two printing presses begin printing currency at the same time and at constant speeds . press f produces 5 - dollar bills at the rate of 1,000 bills per minute . press t produces 20 - dollar bills at the rate of 200 bills per minute . once the machines have begun printing , how many seconds does it take for press f to produce 50 dollars more currency than press t ? | 1physics |
last year sandy saved 6 % of her annual salary . this year , she made 10 % more money than last year , and she saved 9 % of her salary . the amount saved this year was what percent of the amount she saved last year ? | 2gain |
rahul can do a work in 3 days while rajesh can do the same work in 2 days . both of them finish the work together and get $ 170 . what is the share of rahul ? | 1physics |
the ratio between sumit ' s and prakash ' s age at present is 2 : 3 . sumit is 6 years younger than prakash . the ratio of sumit ' s age to prakash ' s age after 6 years will be : | 0general |
if a person walks at 12 km / hr instead of 10 km / hr , he would have walked 20 km more . the actual distance traveled by him is : | 0general |
cara leaves her home and walks toward don ' s house . two hours later , don leaves his home and walks toward cara ' s house . the distance between their homes is 45 kilometers , cara ' s walking speed is 6 km / h , and don ' s walking speed is 5 km / h . how many kilometers will cara walk before she meets don ? | 1physics |
in a garden , there are yellow and green flowers which are straight and curved . if the probability of picking a green flower is 3 / 4 and picking a straight flower is 1 / 2 , then what is the probability of picking a flower which is yellow and curved | 4probability |
if n is a positive integer , what is the remainder when ( 7 ^ ( 3 n + 3 ) ) ( 6 ^ n ) is divided by 10 ? | 0general |
10 / 21 of 3 / 5 of a number is greater than 4 / 7 of 1 / 5 of the same number by 36 . what is half of that number ? | 0general |
the speed of a bus increases by 2 km after every one hour . if the distance travelling in the first one hour was 35 km . what was the total distance travelled in 12 hours ? | 1physics |
a tailor trims 11 feet from opposite edges of a square piece of cloth , and 7 feet from the other two edges . if 84 square feet of cloth remain , what was the length of a side of the original piece of cloth ? | 3geometry |
an order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth . what be the cost of a carpet whose length and breadth are 40 % more and 25 % more respectively than the first carpet . given that the ratio of carpet is rs . 45 per sq . m ? | 0general |
in a office work is distribute between p persons . if 1 / 7 members are absent then work increased for each person is ? | 0general |
a courtyard is 25 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 |
in a school of 700 boys , 44 % of muslims , 28 % hindus , 10 % sikhs and the remaining of other communities . how many belonged to the other communities ? | 2gain |
a shop keeper marked 30 % above the cost price and offered 20 % discount then find it ' s net profit ? | 2gain |
the speed of a car is 100 km in the first hour and 80 km in the second hour . what is the average speed of the car ? | 1physics |
the average marks of 10 students in a class is 100 . but a student mark is wrongly noted as 60 instead of 10 then find the correct average marks ? | 0general |
there are 300 seniors at morse high school , and 50 % of them have cars . of the remaining grades ( freshmen , sophomores , and juniors ) , only 10 % of them have cars . if 20 % of all the students at morse have cars , how many students are in the 3 lower grades ? | 2gain |
carrie likes to buy t - shirts at the local clothing store . they cost $ 9.95 each . one day , she bought 20 t - shirts . how much money did she spend ? | 0general |
a train passes a station platform in 36 sec and a man standing on the platform in 20 sec . if the speed of the train is 90 km / hr . what is the length of the platform ? | 1physics |
in a mixed college 160 students are there in one class . out of this 160 students 5 / 8 students are girls . how many boys are there ? | 0general |
a ferry can transport 85 tons of vehicles . automobiles range in weight from 1,800 to 3,200 pounds . what is the greatest number of automobiles that can be loaded onto the ferry ? | 0general |
if 10 gallons of grape juice are added to 50 gallons of a mixture , which contains 10 percent grape juice then what percent of the resulting mixture is grape juice ? | 0general |
an artist who needs to buy only paint and canvas finds that the cost of canvas has decreased by 40 percent and the cost of paint has decreased by 60 percent . if paint previously accounted for 4 times as much of the expense of painting as did canvas , by what percent did the total cost for paint and canvas decrease ? | 0general |
a man can row upstream at 55 kmph and downstream at 65 kmph , and then find the speed of the man in still water ? | 1physics |
a rectangular grassy plot 110 m . by 65 m has a gravel path 2.5 m wide all round it on the inside . find the cost of gravelling the path at 60 paise per sq . metre | 1physics |
a train is 360 meter long is running at a speed of 45 km / hour . in what time will it pass a bridge of 140 meter length | 1physics |
in some quantity of ghee , 60 % is pure ghee and 40 % is vanaspati . if 10 kg of pure ghee is added , then the strength of vanaspati ghee becomes 20 % . the original quantity was : | 2gain |
evaluate 926 + 9.026 + 0.926 + 9.0026 | 0general |
what is the units digit of the expression 17 ^ 7 - 2 ? | 0general |
if v is the product of the integers from 1 to 30 , inclusive , what is the greatest integer k for which 3 ^ k is a factor of v ? | 0general |
find the side of the largest possible square slabs which can be paved on the floor of a room 2 m 50 cm long and 1 m 50 cm broad . also find the number of such slabs to pave the floor . | 1physics |
a train speeds past a pole in 25 seconds and a platform 200 m long in 30 seconds . its length is : | 1physics |
two cubes have their volumes in the ratio 1 : 27 . find the ratio of their surface areas . | 3geometry |
one fourth of a solution that was 14 % salt by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight . the second solution was what percent salt by weight ? | 2gain |
a certain fraction has the same ratio to 1 / 18 , as 2 / 5 does to 2 / 9 . what is this certain fraction ? | 5other |
how many odd numbers between 10 and 2000 are the squares of integers ? | 3geometry |
for a certain exam , a score of 58 was 2 standard deviations below mean and a score of 98 was 3 standard deviations above mean . what was the mean score e for the exam ? | 0general |
walking at the rate of 3 kmph a man cover certain distance in 3 hr 20 min . running at a speed of 9 kmph the man will cover the same distance in . | 1physics |
what percent is 25 gm of 1 kg ? | 2gain |
an airplane covers 50 miles in 1 / 5 hours . how many miles can the airplane cover in 5 hours ? | 1physics |
evaluate 35 / . 07 | 0general |
a shopkeeper sold an article offering a discount of 5 % and earned a profit of 19.7 % . what would have been the percentage of profit earned if no discount was offered ? | 2gain |
0.003 x 0.2 = ? | 0general |
a candidate who gets 30 % of the marks fails by 60 marks . but another candidate who gets 45 % marks gets 30 marks more than necessary for passing . find the number of marks for passing ? | 2gain |
in may , the groundskeeper at spring lake golf club built a circular green with an area of 80 π square feet . in august , the groundskeeper doubled the distance from the center of the green to the edge of the green . what is the total area of the renovated green ? | 3geometry |
80 pie square inches of material of negligible thickness are required to construct a 1 / 16 scale model of a cylindrical barrel . if the diameter of the base of the barrel is 160 inches , then what is the volume of the barrel , to the nearest cubic foot ? | 3geometry |
the average weight of 20 girls increases by 2 kg when a new girl comes in place of one of them weighing 40 kg . what might be the weight of the new girl ? | 0general |
a ( 5 , w ^ 3 ) is the ( x , y ) coordinate of point located on the parabola y = x ^ 2 + 2 . what is the value of w ? | 0general |
in a graduating class of 232 students , 144 took geometry and 119 took biology . what is the difference between the greatest possible number t and the smallest possible number of students that could have taken both geometry and biology ? | 5other |
a certain fruit stand sold apples for $ 0.80 each and bananas for $ 0.70 each . if a customer purchased both apples and bananas from the stand for a total of $ 6.50 , what total number of apples and bananas did the customer purchase ? | 5other |
what is the thousandths digit in the decimal equivalent of 62 / 5000 ? | 0general |
in how many seconds will a train 180 meters long pass an oak tree , if the speed of the train is 36 km / hr ? | 1physics |
what number should replace the question mark ? 10 , 30 , 14 , 25 , 18 , 20 , - - - ? | 0general |
a train of length 250 m crosses a bridge of length 180 m in 20 seconds . what is the speed of train ? | 1physics |
what is the perimeter , in meters , of a rectangular garden 24 meters wide that has the same area as a rectangular playground 16 meters long and 12 meters wide ? | 3geometry |
a can do a work in 12 days . when he had worked for 3 days , b joinedhim . if they complete the work in 3 more days , in how manydays can balone finish the work ? | 1physics |
if k is an integer and 0.0010101 x 10 ^ k is greater than 100 , what is the least possible value of k ? | 0general |
gold is 19 times as heavy as water and copper is 9 times as heavy as water . in what ratio should these be mixed to get an alloy 18 times as heavy as water ? | 0general |
find the ones digit of 73 ^ 350 | 0general |
a man engaged a servant on the condition that he would pay him rs . 900 and a uniform after 1 year service . he served onlyfor 9 months and received uniform & rs . 650 , find the price of the uniform ? | 0general |
a 600 meter long train crosses a signal post in 20 seconds . how long will it take to cross a 3 kilometer long bridge , at the same speed ? | 1physics |
a certain car dealership sells economy cars , luxury cars , and sport utility vehicles . the ratio of economy to luxury cars is 3 : 2 . the ratio of economy cars to sport utility vehicles is 5 : 3 . what is the ratio of luxury cars to sport utility vehicles ? | 5other |
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