Problem stringlengths 5 967 | category class label 6
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the ratio of the adjacent angles of a parallelogram is 4 : 11 . also , the ratio of the angles of quadrilateral is 5 : 6 : 7 : 12 . what is the sum of the smaller angle of the parallelogram and the second largest angle of the quadrilateral ? | 5other |
a and b start a business , with a investing the total capital of rs . 25000 , on the condition that b pays a interest @ 10 % per annum on his half of the capital . a is a working partner and receives rs . 250 per month from the total profit and any profit remaining is equally shared by both of them . at the end of the year , it was found that the income of a is twice that of b . find the total profit for the year ? | 2gain |
one pipe can fill a tank three times as fast as another pipe . if together the two pipes can fill tank in 38 min , then the slower pipe alone will be able to fill the tank in ? | 1physics |
a circular dartboard of radius 1 foot is at a distance of 20 feet from you . you throw a dart at it and it hits the dartboard at some point q in the circle . what is the probability that q is closer to the center of the circle than the periphery ? | 4probability |
a factory producing tennis balls stores them in either big boxes , 25 balls per box , or small boxes , 20 balls per box . if 76 freshly manufactured balls are to be stored , what is the least number of balls that can be left unboxed ? | 0general |
a , b and c have rs . 700 between them , a and c together have rs . 300 and b and c rs . 600 . how much does c have ? | 0general |
a and b together can do a work in 7 days . if a alone can do it in 14 days . in how many days can b alone do it ? | 1physics |
a and b start walking towards each other at 7 am at speed of 12 kmph and 13 kmph . they were initially 25 km apart . at what time do they meet ? | 1physics |
find the lowest common multiple of 24 , 36 and 42 . | 0general |
if a / b = 1 / 7 , b / c = 3 , c / d = 2 / 3 , d / e = 2 and e / f = 1 / 2 , then what is the value of abc / def ? | 0general |
what is the least value of x . so that 43 x 87 is divisible by 3 ? | 0general |
675.987 - ? + 56.84 = 289.654 | 0general |
if shares of two persons in profits are rs . 800 and rs . 600 then ratio of their capitals is | 5other |
if 7 / 10 of a pencil is green , 4 / 5 of the remaining is gold and the remaining 1 / 2 is white , what is the total length of the pencil ? | 0general |
what is the smallest no . that should be added to 41381 to make it exactly divisible by 9 ? | 0general |
a takes twice as much time as b & c takes thrice as much time as b to finish a piece of work . working together they can finish the work in 18 days . the no . of days need for b to do the work alone is ? | 1physics |
a man can row his boat with the stream at 20 km / h and against the stream in 8 km / h . the man ' s rate is ? | 2gain |
what will be the compound interest on rs . 25000 after 3 years at the rate of 12 % per annum | 2gain |
a certain airline ' s fleet consisted of 70 type a planes at the beginning of 1980 . at the end of each year , starting with 1980 , the airline retired 3 of the type a planes and acquired 4 new type b plans . how many years did it take before the number of type a planes left in the airline ' s fleet was less than 50 percent of the fleet ? | 2gain |
the circumferences of two circles are 264 meters and 352 meters . find the difference between the areas of the larger and the smaller circles ? | 3geometry |
a man buys rs . 60 shares paying 9 % dividend . the man wants to have an interest of 12 % on his money . the market value of each share is : | 2gain |
a number of 53 marbles is to be divided and contain with boxes . if each box is to contain 3 , 4 , or 5 marbles , what is the largest possible number of boxes ? | 0general |
the rhombus ( afce ) is inscribed in rectangle ( abcd ) . the length of bf = de . if the rectangle has a width of 20 yards and a length of 25 yards , what would be the total length ( the perimeter ) of a fence along the sides defined by afce ? | 3geometry |
on the first of the year , james invested x dollars at proudstar bank in an account that yields 2.4 % in interest every quarter year . at the end of the year , during which he made no additional deposits or withdrawals , he had y dollars in the account . if james had invested the same amount in an account which pays interest on a yearly basis , what must the interest rate be for james to have y dollars at the end of the year ? | 2gain |
a can do a piece of work 60 days . b can do work in 20 days . in how many days they will complete the work together ? | 1physics |
if there are 10 apples and 20 oranges , what is the ratio of apples to oranges ? | 5other |
the average salary of a person for the months of january , february , march and april is rs . 8000 and that for the months february , march , april and may is rs . 9500 . if his salary for the month of may is rs . 6500 , find his salary for the month of january ? | 0general |
what two - digit number is less than the sum of the square of its digits by 10 and exceeds their doubled product by 5 ? | 0general |
last week david spent 20 percent of his wages on recreation . this week , his wages are 30 percent less than last week ʼ s wages and he spent 20 percent of his wages on recreation . the amount he spends on recreation this week is what percent of the amount he spent on recreation last week | 0general |
in an election only two candidates contested . a candidate secured 70 % of the valid votes and won by a majority of 180 votes . find the total number of valid votes ? | 2gain |
in a can , there is a mixture of milk and water in the ratio 4 : 3 . if the can is filled with an additional 10 liters of milk , the can would be full and the ratio of milk and water would become 5 : 2 . find the capacity of the can ? | 0general |
a car runs at the speed of 55 km per hour when not serviced and runs at 90 kmph when serviced . after servicing the car covers a certain distance in 3 hours . how much time will the car take to cover the same distance when not serviced ? | 1physics |
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 24 kmph , find the speed of the stream ? | 1physics |
a began business with rs . 27000 and was joined afterwards by b with rs . 36000 . when did b join if the profits at the end of the year were divided in the ratio of 2 : 1 ? | 5other |
a certain kind of fuel is 1515 high octane and 4545 regular octane . if high octane costs 3 times as much as regular octane , what fraction of the cost of the fuel is due to the high octane ? | 0general |
8 coins are tossed . whats is the probability that one and only one turns up head ? | 4probability |
a rectangular lawn of dimensions 110 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 |
if you multiply all the numbers on your mobile phone , what is the answer ? | 0general |
if x is 20 percent greater than 12 , then x = | 0general |
if 7 ^ k + 7 ^ k = ( 7 ^ 9 ) ^ ( 7 ^ 9 ) - 7 ^ k , then k = ? | 0general |
find the probability in a group of 10 students sitting in a row , two of them always sit next to each other | 5other |
a student got 74 % in math and 81 % in history . to get an overall average of 75 % , how much should the student get in the third subject ? | 0general |
a leak in the bottom of a tank can empty the full tank in 3 hours . an inlet pipe fills water at the rate of 6 litres a minute . when the tank is full , the inlet is opened and due to the leak , the tank is empty in 12 hours . how many litres does the cistern hold ? | 1physics |
the ratio of 2 numbers is 4 : 6 and their h . c . f . is 8 . their l . c . m . is ? | 5other |
when positive integer n is divided by 4 , the remainder is 1 . when n is divided by 7 , the remainder is 5 . what is the smallest positive integer p , such that ( n + p ) is a multiple of 35 ? | 0general |
sam invested rs . 12000 @ 10 % per annum for one year . if the interest is compounded half - yearly , then the amount received by sam at the end of the year will be ? | 2gain |
john bought a shirt on sale for 25 % off the original price and another 25 % off the discounted price . if the final price was $ 18 , what was the price before the first discount ? | 2gain |
the jogging track in a sports complex is 1000 meters in circumference . deepak and his wife start from the same point and walk in opposite directions at 20 km / hr and 16 km / hr respectively . they will meet for the first time in ? | 0general |
a cube of edge 5 cm is immersed completely in a rectangular vessel containing water . if the dimensions of the base of vessel are 10 cm * 5 cm , find the rise in water level ? | 3geometry |
two brother x and y appeared for an exam . the probability of selection of x is 1 / 3 and that of b is 2 / 5 . find the probability that both of them are selected . | 0general |
4 men and 12 boys finish a piece of work in 4 days , 7 men and 6 boys do it in 5 days . the ratio between the efficiencies of a man and boy is ? | 1physics |
a boatman trying to cross the river . the width of the river is 400 m . he is selling boat with 10 m / sec . he takes 50 sec to cross the river due to flow of water . calculate the drift . | 1physics |
the volume of a certain substance is always directly proportional to its weight . if 48 cubic inches of the substance weigh 112 ounces , what is the volume , in cubic inches , of 60 ounces of this substance ? | 3geometry |
the average speed of a train is 87 kmph . the train was scheduled to start at 9 am in bangalore , and as per schedule it has to reach a destination of 348 km away from bangalore at 1 : 45 pm same day and a halt was scheduled onthe way . for how long was the halt scheduled ? | 1physics |
the height of the wall is 4 times its width and length of the wall is 3 times its height . if the volume of the wall be 10368 cu . m . its width is | 1physics |
a courtyard is 24 meter long and 14 meter board is to be paved with bricks of dimensions 25 cm by 15 cm . the total number of bricks required is : | 1physics |
rajan and rakesh started a business and invested rs . 20,000 and rs . 25,000 respectively . after 4 months rakesh left and mukesh joined by investing rs . 15,000 . at the end of the year there was a profit of rs . 4,600 . what is the share of rajan ? | 2gain |
when a = x + ( 3 / x ) and b = x - ( 3 / x ) , ( 2 ^ a ^ 2 ) / ( 2 ^ b ^ 2 ) = ? | 0general |
20 % of major airline companies equip their planes with wireless internet access . 70 % of major airlines offer passengers free on - board snacks . what is the greatest possible percentage of major airline companies that offer both wireless internet and free on - board snacks ? | 0general |
in how many seconds will a train 180 meters long pass an oak tree , if the speed of the train is 54 km / hr ? | 1physics |
if 20 typists can type 40 letters in 20 minutes , then how many letters will 30 typists working at the same rate complete in 1 hour ? | 1physics |
there are 4 people who has to cross a stretch of 300 km . they normally run at a speed of 10 kmph . one of them has a bike that travels at 50 kmph . the bike first takes one person alone and crosses the stretch while the other two keep running . then he comes back without wasting time and picks up another person from the way , drives him across the stretch , and does the same for the last person . how long does this whole process take ? | 1physics |
a courtyard is 18 meter long and 12 meter board is to be paved with bricks of dimensions 15 cm by 13 cm . the total number of bricks required is : | 1physics |
if one length of a square is tripled , and the original parameter is 4 y . what is the new length of one of the sides ? | 1physics |
an order was placed for the supply of a carper whose length and breadth were in the ratio of 3 : 2 . subsequently , the dimensions of the carpet were altered such that its length and breadth were in the ratio 7 : 3 but were was no change in its parameter . find the ratio of the areas of the carpets in both the ? | 5other |
80 % of a number is added to 20 , the result is the same number . find the number ? | 2gain |
a dishonest dealer professes to sell goods at the cost price but uses a weight of 780 grams per kg , what is his percent ? | 2gain |
angelina walked 840 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 |
david obtained 74 , 65 , 82 , 67 and 90 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology . what are his average marks ? | 0general |
john makes $ 60 a week from his job . he earns a raise andnow makes $ 70 a week . what is the % increase ? | 2gain |
a farmer used 1,034 acres of land for beans , wheat , and corn in the ratio of 5 : 2 : 4 , respectively . how many e acres were used for corn ? | 5other |
at an elementary school , 70 % of the faculty members are women and 60 % of the faculty members are married . if 2 ⁄ 3 of the men are single , what fraction of the men are married ? | 2gain |
when n is divided by 24 , the remainder is 5 . what is the remainder when 4 n is divided by 8 ? | 0general |
question : a sporting good store sells one type of baseball bat and one type of baseball . the cost for 2 bats and 4 balls is $ 180 . the cost for 1 bat and 6 balls is $ 190 , as well . if someone were to buy an equal number of bats and balls , at most how many bats can he purchase if he has a budget of $ 195 for the purchase ? options : | 3geometry |
a train 400 m long is running at a speed of 78 km / hr . if it crosses a tunnel in 1 min , then the length of the tunnel is ? | 1physics |
ramu bought an old car for rs . 42000 . he spent rs . 8000 on repairs and sold it for rs . 64900 . what is his profit percent ? | 2gain |
machine p and machine q are each used to manufacture 990 sprockets . it takes machine p 10 hours longer to produce 990 sprockets than machine q . machine q produces 10 % more sprockets per hour than machine a . how many sprockets per hour does machine a produce ? | 2gain |
what is the greatest value of positive integer x such that 2 ^ x is a factor of 100 ^ 40 ? | 0general |
if the product of 2 integers is negative , at most how many of the integers can be negative ? | 0general |
what will be the difference between simple and compound interest @ 10 % per annum on the sum of rs 1000 after 4 years | 2gain |
find k if 16 / k = 4 . | 0general |
the cost of the paint is rs . 36.50 per kg . if 1 kg of paint covers 16 sq . ft , how much will it cost to paint outside of a cube having 8 feet each side | 3geometry |
in 1950 , richard was 4 times as old as robert . in 1955 , richard was 3 times as old as robert . in which year was richard 1.3 times as old as robert ? | 0general |
the simple interest on a sum of money will be rs . 800 after 10 years . if the principal is trebled after 5 years what will be the total interest at the end of the tenth year ? | 0general |
a certain clock marks every hour by striking a number of times equal to the hour , and the time required for a stroke is exactly equal to the time interval between strokes . at 6 : 00 the time lapse between the beginning of the first stroke and the end of the last stroke is 66 seconds . at 12 : 00 , how many seconds elapse between the beginning of the first stroke and the end of the last stroke ? | 0general |
each week , harry is paid x dollars per hour for the first 30 hours and 1.5 x dollars for each additional hour worked that week . each week , annie is paid x dollars per hour for the first 40 hours and 2 x dollars for each additional hour worked that week . last week annie worked a total of 50 hours . if harry and annie were paid the same amount last week , how many hours did harry work last week ? | 0general |
a box measuring 25 inches long by 30 inches wide by 15 inches deep is to be filled entirely with identical cubes . no space is to be left unfilled . what is the smallest number of cubes that can accomplish this objective ? | 3geometry |
in lottery , there are 10 prizes and 25 blanks . a lottery is drawn at random . what is the probability of getting a prize ? | 4probability |
0.999991 + 0.111119 = ? | 0general |
from january 1 , 1991 , to january 1 , 1993 , the number of people enrolled in health maintenance organizations increased by 30 percent . the enrollment on january 1 , 1993 , was 45 million . how many million people , to the nearest million , were enrolled in health maintenance organizations on january 1 , 1991 ? | 2gain |
if $ 5,000 is invested in an account that earns 10 % interest compounded semi - annually , then the interest earned after one year would be how much greater than if the $ 5,000 had been invested at 8 % simple yearly interest ? | 2gain |
line q has the equation 5 y – 3 x = 15 . if line s is perpendicular to q , has an integer for its y - intercept , and intersects q in the second quadrant , then how many possible line s ’ s exist ? ( note : intersections on one of the axes do not count . ) | 0general |
mr . kramer , the losing candidate in a two - candidate election , received 942,568 votes , which was exactly 35 percent of all votes cast . approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast ? | 0general |
find the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 5 cm ? | 1physics |
a family pays $ 900 per year for an insurance plan that pays 80 percent of the first $ 1,000 in expenses and 100 percent of all medical expenses thereafter . in any given year , the total amount paid by the family will equal the amount paid by the plan when the family ' s medical expenses total . | 0general |
at 1 : 00 pm , there were 10.0 grams of bacteria . the bacteria increased to x grams at 4 : 00 pm , and 28.9 grams at 7 : 00 pm . if the amount of bacteria present increased by the same fraction during each of the 3 - hour periods , how many grams of bacteria were present at 4 : 00 pm ? | 0general |
rahul played weel in this season . his current batting averagge is 53 . if he score 78 runs in today match . his batting average will become 58 . how many matches had he played in this season . | 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 1225 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 10 units ? | 3geometry |
33 1 / 3 % of 390 ? | 2gain |
sale of rs 6835 , rs . 9927 , 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 , 6600 ? | 0general |
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