Problem stringlengths 5 967 | category class label 6
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john found that the average of 15 numbers is 40 . if 12 is added to each number then the mean of number is ? | 0general |
a and b together can do a piece of work in 2 days . if a alone can do the same work in 22 days , then b alone can do the same work in ? | 1physics |
if 1 / ( x + 3 ) + 1 / ( x - 3 ) = 1 / ( x + 3 ) , what is the value of x ? | 0general |
the area of a square field is 1600 km 2 . how long will it take for a horse to run around at the speed of 16 km / h ? | 3geometry |
how many 4 - digit positive integers can be formed by using the digits from 1 to 9 so that two digits are equal to each other and the remaining two are also equal to each other but different from the other two ? . | 0general |
the charge for a single room at hotel p is 50 percent less than the charge for a single room at hotel r and 10 percent less than the charge for a single room at hotel g . the charge for a single room at hotel r is what percent greater than the charge for a single room at hotel g ? | 2gain |
0.009 / x = 0.03 . find the value of x | 0general |
a man rows his boat 90 km downstream and 70 km upstream , taking 3 hours each time . find the speed of the stream ? | 1physics |
one night 18 percent of the female officers on a police force were on duty . if 180 officers were on duty that night and half of these were female officers , how many female officers were on the police force ? | 2gain |
there are 24 students in a seventh grade class . they decided to plant birches and roses at the school ' s backyard . while each girl planted 3 roses , every three boys planted 1 birch . by the end of the day they planted 24 plants . how many birches and roses were planted ? | 1physics |
of the 13 employees in a certain department , 1 has an annual salary of 38,000 , 2 have an annual salary of 45,900 each , 2 have an annual salary of 42,500 each , 3 have an annual salary of 40,000 each and 5 have an annual salary of 48,500 each . what is the median annual salary for the 13 employees ? | 0general |
if shares of two persons in profits are rs . 400 and rs . 1200 then ratio of their capitals is | 5other |
rectangular tile each of size 60 cm by 56 cm must be laid horizontally on a rectangular floor of size 560 cm by 240 cm , such that the tiles do not overlap and they are placed with edges jutting against each other on all edges . a tile can be placed in any orientation so long as its edges are parallel to the edges of floor . no tile should overshoot any edge of the floor . the maximum number of tiles that can be accommodated on the floor is : | 3geometry |
the l . c . m of two numbers is 495 and their h . c . f is 5 . if the sum of the numbers is 10 , then their difference is | 0general |
how many 4 digit numbers are there , if it is known that the first digit is even , the second is odd , the third is prime , the fourth ( units digit ) is divisible by 3 , and the digit 9 can be used only once ? | 1physics |
there are two positive numbers in the ratio 5 : 8 . if the larger number exceeds the smaller by 45 , then find the smaller number ? | 5other |
the sum of ages of 4 children born 2 years different each is 36 years . what is the age of the elder child ? | 0general |
if ajay completes a certain work in 8 days and vijay can complete the same work in 24 days , find the time in which the work will be completed if both ajay and vijay work together . | 1physics |
the length of the diagonal of a square is 12 cm . find its area and perimeter . | 3geometry |
a cube of edge 15 cm is immersed completely in a rectangular vessel containing water . if the dimensions of the base of vessel are 20 cm * 14 cm , find the rise in water level ? | 3geometry |
joe needs to paint all the airplane hangars at the airport , so he buys 360 gallons of paint to do the job . during the first week , he uses 1 / 9 of all the paint . during the second week , he uses 1 / 5 of the remaining paint . how many gallons of paint has joe used ? | 1physics |
what is the sum of 59 consecutive integers from - 29 inclusive , in a increasing order ? | 0general |
if an integer n is to be selected at random from 1 to 400 , inclusive , what is probability n ( n + 1 ) will be divisible by 8 ? | 0general |
students at a school were on average 180 cm tall . the average female height was 170 cm , and the average male height was 185 cms . what was the ratio of men to women ? | 0general |
a and b start walking towards each other at 6 pm at speed of 4 kmph and 6 kmph . they were initially 18 km apart . at what time do they meet ? | 1physics |
calculate the l . c . m of 5 / 6 , 4 / 7 , 9 / 10 , 8 / 9 is : | 1physics |
find the least positive integer divisible by each of the integers between 5 through 10 ( including 10 ) . | 0general |
a number when divided by a divisor leaves a remainder of 25 . when twice the original number is divided by the same divisor , the remainder is 11 . what is the value of the divisor ? | 0general |
dexter and prexter are competing with each other in a friendly community competition in a pool of 50 m length and the race is for 1000 m . dexter crosses 50 m in 2 min and prexter in 3 min 15 sec . each time they meet / cross each other , they do handshake ' s . how many such handshake ' s will happen if they start from the same end at the same time ? | 1physics |
find the average of all numbers between 6 and 34 which are divisible by 5 | 0general |
two numbers are less than third number by 35 % and 37 % respectively . how much percent is the second number less than by the first | 2gain |
sam ’ s car was fined when he gave joe and peter a ride , so they decided to help sam pay the fine . joe paid $ 8 more than 1 / 4 of the fine and peter paid $ 8 less than 1 / 3 of the fine , leaving pay $ 15 less than 1 / 2 the fine to complete the payment . what fraction of the fine did sam pay ? | 0general |
according to the directions on a packet of smoothie mix , 1 3 - ounce packet of smoothie mix is to be combined with 12 ounces of water to make a smoothie . how many 2 - ounce packets of smoothie mix are required to prepare 150 12 - ounce smoothies ? | 0general |
a man gains 60 % by selling an article for a certain price . if he sells it at double the price , the percentage of profit will be . | 2gain |
the difference between a two - digit number and the number obtained by interchanging the positions of its digits is 54 . what is the difference between the two digits of that number ? | 0general |
the ratio , by volume , of soap to alcohol to water in a certain solution is 2 : 40 : 70 . the solution will be altered so that the ratio of soap to alcohol is doubled while the ratio of soap to water is halved . if the altered solution will contain 100 cubic centimeters of alcohol , how many cubic centimeters of water will it contain ? | 3geometry |
a grocery shop has a sale of rs . 6435 , rs . 6927 , rs . 6855 , rs . 7230 and rs . 6562 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 6500 ? | 0general |
if rs . 420 amount to rs . 540 in 4 years , what will it amount to in 6 years at the same rate % per annum ? | 2gain |
what is the ratio of 3 / 7 to the product 2 * ( 7 / 3 ) ? | 0general |
if 40 % of a number exceeds 20 % of it by 12 , then find the number ? | 2gain |
a discount electronics store normally sells all merchandise at a discount of 5 percent to 25 percent off the suggested retail price . if , during a special sale , an additional 25 percent were to be deducted from the discount price , what would be the lowest possible price of an item costing $ 300 before any discount ? | 2gain |
a train covers a distance of 12 km in 10 minutes . if it takes 6 seconds to pass a telegraph post , then the length of the train is : | 1physics |
workers decided to raise rs . 3 lacs by equal contribution from each . had they contributed rs . 50 eachextra , the contribution would have been rs . 3.20 lacs . how many workers were they ? | 0general |
each digit 1 through 5 is used exactly once to create a 5 - digit integer . if the 1 and the 2 can not be adjacent digits in the integer , how many 5 - digit integers are possible ? | 0general |
if a rectangular billboard has an area of 130 square feet and a perimeter of 46 feet , what is the length of each of the longer sides ? | 3geometry |
a train running at the speed of 60 km / hr crosses a pole in 6 seconds . what is the length of the train ? | 1physics |
find the greatest number which on dividing 3815 and 4521 , leaves a reminder of 31 and 33 respectively | 0general |
16 men can complete a piece of work in 28 days . in how many days can 20 men complete that piece of work ? | 1physics |
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 16 hours and 25 hours respectively . the ratio of their speeds is ? | 1physics |
two sides of a triangle have lengths x and w and meet at a right angle . if the perimeter of the triangle is 4 x , what is the ratio of x to w ? | 3geometry |
a man deposits $ 2000 in a bank at 4 % per annum and $ 3000 in uti at 14 % per annum . find the rate of interest for the whole sum . | 2gain |
the credit card and a global payment processing companies have been suffering losses for some time now . a well known company recently announced its quarterly results . according to the results , the revenue fell to $ 55.0 billion from $ 69.0 billion , a year ago . by what percent did the revenue fall ? | 2gain |
convert 30 miles into yards ? | 1physics |
a garrison of 2000 men has provisions for 65 days . at the end of 15 days , a reinforcement arrives , and it is now found that the provisions will last only for 20 days more . what is the reinforcement ? | 1physics |
in what time will a railway train 70 m long moving at the rate of 36 kmph pass a telegraph post on its way ? | 1physics |
a retail appliance store priced a video recorder at 20 percent above the wholesale cost of $ 200 . if a store employee applied the 20 percent employee discount to the retail price to buy the recorder , how much did the employee pay for the recorder ? | 2gain |
what is the sum of all 3 digit numbers that leave a remainder of ' 2 ' when divided by 5 ? | 0general |
the speed of a train is 72 kmph . what is the distance covered by it in 20 minutes ? | 1physics |
a math teacher has 27 cards , each of which is in the shape of a geometric figure . half of the cards are rectangles , and a third of the cards are rhombuses . if 8 cards are squares , what is the maximum possible number of cards that re circles . | 3geometry |
at 6 ′ o a clock ticks 6 times . the time between first and last ticks is 45 seconds . how long does it tick at 12 ′ o clock | 1physics |
the total marks obtained by a student in mathematics and physics is 70 and his score in chemistry is 20 marks more than that in physics . find the average marks scored in mathamatics and chemistry together . | 0general |
the ratio of the money with ravi and giri is 6 : 7 and that with giri and kiran is 6 : 15 . if ravi has $ 36 , how much money does kiran have ? | 5other |
( 3 x + 2 ) ( 2 x - 7 ) = ax ^ 2 + kx + n . what is the value of a - n + k ? | 0general |
how many positive integers h between 200 and 300 ( both inclusive ) are not divisible by 2 , 3 or 5 ? | 5other |
if the sides of a triangle are 91 cm , 84 cm and 35 cm , what is its area ? | 3geometry |
for every even positive integer m , f ( m ) represents the product of all even integers from 2 to m , inclusive . for example , f ( 12 ) = 2 x 4 x 6 x 8 x 10 x 12 . what is the greatest prime factor of f ( 28 ) ? | 0general |
mike needs 30 % to pass . if he scored 212 marks and falls short by 16 marks , what was the maximum marks he could have got ? | 2gain |
a student completes a 3 part exam as follows . the student completes sections a in 18 minutes and takes an equal time to complete the two remaining sections . what is the ratio of time spent on section c to section a if the total duration is 1 hour ? | 1physics |
. a car covers a distance of 742 km in 7 hours . find its speed ? | 1physics |
how many bricks each measuring 20 cm x 10 cm x 8 cm , will be needed to build a wall 10 m x 8 m x 24.5 m | 1physics |
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 $ 2,000 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 |
if 45 % of z is 120 % of y and y is 75 % of x , what percent of x is z ? | 2gain |
if money is invested at r percent interest , compounded annually , the amount of the investment will double in approximately 50 / r years . if luke ' s parents invested $ 13,500 in a long term bond that pays 12 percent interest compounded annually , what will be the approximate total amount of the investment 12 years later , when luke is ready for college ? | 0general |
what is the square root of 81 ? | 5other |
how is 4 % expressed as a decimal fraction ? | 2gain |
in a certain school , the ratio of boys to girls is 5 to 13 . if there are 128 more girls than boys , how many boys are there ? | 5other |
i remember during the school days , the teacher asked the class ` ` can you tell me the sum of the first 50 odd numbers ? ` ` . i ran quickly to the teacher and told her ` ` the answer is 2500 ' ' . the teacher replied ` ` lucky guess ' ' . she then asked me ` ` can you tell me the sum of first 75 odd numbers ? ` ` . i wait for approx 10 seconds and replied with the correct answer . how can i answer so quickly and whats the correct answer ? | 1physics |
in one hour , a boat goes 11 km along the stream and 7 km against the stream . the sped of the boat in still water ( in km / hr ) is : | 2gain |
the average of first five prime numbers greater than 10 is ? | 0general |
following an increase in prices , the price of a candy box was 15 pounds and the price of a can of soda was 6 pounds . if the price of a candy box was raised by 25 % , and the price of a can of soda was raised by 50 % . what was the price of a box of candy plus a can of soda before prices were raised ? | 0general |
city a and city b are 140 miles apart . train c departs city a , heading towards city b , at 4 : 00 and travels at 40 miles per hour . train d departs city b , heading towards city a , at 4 : 20 and travels at 20 miles per hour . the trains travel on parallel tracks . at what time do the two trains meet ? | 1physics |
a mathematics teacher tabulated the marks secured by 35 students of 8 th class . the average of their marks was 72 . if the marks secured by reema was written as 46 instead of 56 then find the correct average marks up to two decimal places . | 0general |
a number when divided by a divisor leaves a remainder of 21 . when twice the original number is divided by the same divisor , the remainder is 11 . what is the value of the divisor ? | 0general |
last year a certain bond price with a face value of 5000 yielded 7 % of its face value in interest . if that interest was approx 6.5 of the bond ' s selling price approx what was the bond ' s selling price ? | 2gain |
the length and the breadth of a rectangle are in the ratio of 3 : 2 respectively . if the sides of the rectangle are extended on each side by 1 metre , the ratio of length to breadth becomes 10 : 7 . find the area of the original rectangle in square metres . | 3geometry |
32 meters of wire is available to fence off a flower bed in the form of a circular sector . what must the radius of the circle in meters be , if we wish to have a flower bed with the greatest possible surface area ? | 3geometry |
a 300 m long train crosses a platform in 54 sec while it crosses a signal pole in 18 sec . what is the length of the platform ? | 1physics |
compute the perimeter of a square with area 36 . | 3geometry |
a can run 4 times as fast as b and gives b a start of 72 m . how long should the race course be so that a and b might reach in the same time ? | 1physics |
evaluate : 30 - 12 ÷ 3 × 2 = ? | 0general |
a certain telephone company offers two plans , a and b . under plan a , the company charges a total of $ 0.60 for the first 5 minutes of each call and $ 0.06 per minute thereafter . under plan b , the company charges $ 0.08 per minute of each call . what is the duration of a call , in minutes , for which the company charges the same amount under plan a and under plan b ? | 5other |
an employer pays rs . 30 for each day a worker works , and forfeits rs . 5 for each day he is idle . at the end of 60 days , a worker gets rs . 500 . for how many days did the worker remain idle ? | 1physics |
a can finish a piece of work in 5 days . b can do it in 15 days . they work together for two days and then a goes away . in how many days will b finish the work ? | 1physics |
find the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 16 cm | 1physics |
a policeman noticed a criminal from a distance of 180 km . the criminal starts running and the policeman chases him . the criminal and the policeman run at the rate of 8 km and 9 km per hour respectively . what is the distance between them after 5 minutes ? | 1physics |
8269 ã — 9998 = ? | 0general |
let f ( x ) = x ^ 2 + bx + c . if f ( 1 ) = 0 and f ( - 8 ) = 0 , then f ( x ) crosses the y - axis at what y - coordinate ? | 0general |
two numbers are in the ratio of 5 : 7 . if 12 is subtracted from each number , they are in the ratio of 11 : 17 . what are the two numbers ? | 5other |
the sale price sarees listed for rs . 600 after successive discount is 10 % and 5 % is ? | 2gain |
in an election between two candidates a and b , the number of valid votes received by a exceeds those received by b by 15 % of the total number of votes polled . if 20 % of the votes polled were invalid and a total of 6720 votes were polled , then how many valid votes did b get ? | 0general |
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