niryuu/sni-each-converted huggingface dataset:
Problem: in the forestside summer camp there are 50 children . 90 % of the children are boys and the rest are girls . the camp administrator decided to make the number of girls only 5 % of the total number of children in the camp . how many more boys must she bring to make that happen ?
Output: 50 .
Problem: on dividing 109 by a number , the quotient is 9 and the remainder is 1 . find the divisor ?
Output: 12
Problem: kathleen can paint a room in 4 hours , and anthony can paint an identical room in 5 hours . how many hours would it take kathleen and anthony to paint both rooms if they work together at their respective rates ?
Output: 40 / 9
Problem: if 0.75 : x : : 10 : 8 , then x is equal to :
Output: a ) 0.6
Problem: there are 2 sections a and b in a class , consisting of 36 and 44 students respectively . if the average weight of section a is 40 kg and that of section b is 35 kg , find the average of the whole class ?
Output: 37.25 kg
Problem: a box contains 100 pairs of shoes ( 200 shoes in total ) . if two shoes are selected at random , what it is the probability that they are matching shoes ?
Output: 1 / 199
Problem: the nasdaq index has decreased by 70 % since year 2000 . how much should the index increase in order to gain the same value as in year 2000 ?
Output: 233 %
Problem: the sum of three consecutive numbers is 102 . the greatest among these three number is :
Output: 35
Problem: a dishonest dealer claims to sell a product at its cost price . he uses a counterfeit weight which is 20 % less than the real weight . further greed overtook him and he added 40 % impurities to the product . find the net profit percentage of the dealer ?
Output: 87.5 %
Problem: if the simple interest on a sum of money for 2 years at 5 % per annum is rs . 52 , what is the compound interest on the same sum at the rate and for the same time ?
Output: s . 53.30
Problem: 29 persons can repair a road in 16 days , working 5 hours a day . in how many days will 30 persons , working 6 hours a day , complete the work ?
Output: 12.88
Problem: the income tax in country x is 8 % of any income up to $ 5000 . for incomes over $ 5000 , an 8 % tax is imposed on the first $ 5000 , and a 10 % tax is imposed on the portion of the total income in excess of $ 5000 . if perry paid $ 950 in income tax last month , then what was perry ' s income ?
Output: $ 10500
Problem: a shopkeeper sold an book offering a discount of 5 % and earned a profit of 23.5 % . what would have been the percentage of profit earned if no discount was offered ?
Output: 130
Problem: if n = 2 ^ 0.15 and n ^ b = 8 , b must equal
Output: 20
Problem: last year sandy saved 10 % of her annual salary . this year , she made 10 % more money than last year , and she saved 6 % of her salary . the amount saved this year was what percent of the amount she saved last year ?
Output: 66 %
Problem: 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 . 40000 , what is the value at the end of 2 years ?
Output: 22500
Problem: 5 years ago , paula was 3 times as old as karl . in 6 years , paula will be twice as old as karl . what is the sum of their ages now ?
Output: 54
Problem: one fourth of a solution that was 8 % sugar 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 sugar by weight ?
Output: 40 %
Problem: a and b invests rs . 2000 and rs . 4000 respectively in a business . if a doubles his capital after 6 months . in what ratio should a and b divide that year ' s profit ?
Output: 3 : 4
Problem: two trains of equal lengths take 8 sec and 15 sec respectively to cross a telegraph post . if the length of each train be 120 m , in what time will they cross other travelling in opposite direction ?
Output: 10
Problem: a certain list consists of 21 different numbers . if n is in the list and n is 5 times the average ( arithmetic mean ) of the other 20 numbers in the list , then n is what fraction of the sum of the 21 numbers in the list ?
Output: 1 / 5
Problem: danny and steve are running towards each other , each one from his own house . danny can reach steve ' s house in 27 minutes of running , which is half the time it takes steve to reach danny ' s house . if the two started to run at the same time , how much time longer will it take steve to reach the halfway point between their houses than danny to reach the halfway point between their houses ?
Output: 13.5 minutes
Problem: mr . loyd wants to fence his square shaped land of 120 sqft each side . if a pole is laid every 12 ft how many poles do he need ?
Output: 40
Problem: a number exceeds by 40 from its 3 / 8 part . then the number is ?
Output: c ) 64
Problem: amar takes as much time in running 22 meters as a car takes in covering 58 meters . what will be the distance covered by amar during the time the car covers 2.6 km ?
Output: 986 m
Problem: a 340 - liter solution of kola is made from 88 % water , 5 % concentrated kola and the rest is made from sugar . if 3.2 liters of sugar , 10 liter of water and 6.8 liters of concentrated kola were added to the solution , what percent of the solution is made from sugar ?
Output: 7.5 % .
Problem: the average age of 28 students in a group is 12 years . when teacher â € ™ s age is included to it , the average increases by one . what is the teacher â € ™ s age in years ?
Output: 41
Problem: a rectangular tiled patio is composed of 60 square tiles . the rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles . after the change in layout , the patio will still have 60 tiles , and it will still be rectangular . how many rows are in the tile patio before the change in layout ?
Problem: when the perimeter of a regular polygon is divided by 5 , the length of a side is 25 . what is the name of the polygon ? what is the perimeter ?
Output: 125', 'b ) 126', 'c ) 127', 'd ) 128', 'e ) 129'
Problem: a vessel of capacity 60 litres is fully filled with pure milk . nine litres of milk is removed from the vessel and replaced with water . nine litres of the solution thus formed is removed and replaced with water . find the quantity of pure milk in the final milk solution ?
Output: 43.35
Problem: an empty wooden vessel weighs 8 % of its total weight when filled with paint . if the weight of a partially filled vessel is one half that of a completely filled vessel , what fraction of the vessel is filled .
Output: 3 / 7
Problem: in a government institute 20 nos . staffs are employed . in a festival season their boss give festival allowance to all . he says his accountant to calculate for 30 days @ 100 . also he says balance payment will give to driver and cleaning staff and to be adjust from petty cash . he had given rs . 65000 / - to the accountant . how much amount will taken from petty cash ?
Output: a ) 1000
Problem: if $ 5,000 is invested in an account that earns 4 % 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 ?
Output: $ 4
Problem: an amount of money is to be distributed among faruk , vasim and ranjith in the ratio 3 : 5 : 7 . if vasims share is rs . 1500 , what is the difference between faruk ' s and ranjith ' s shares ?
Output: rs 1200
Problem: in a company of 10 employees , 5 employees earn $ 30,000 , 3 employees earn $ 40,000 , and the 2 highest - paid employees earn the same amount . if the average annual salary for the 10 employees is $ 65,000 , what is the annual salary for each of the highest - paid employees ?
Output: $ 190,000
Problem: a man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph , find his average speed for the total journey ?
Output: 4
Problem: if a sum of money doubles itself in 25 years at simple interest , the ratepercent per annum is
Problem: a company produces 50000 bottles of water everyday . if a case can hold 25 bottles of water . how many cases are required by the company to hold its one day production
Output: 2000
Problem: a small pool filled only with water will require an additional 700 gallons of water in order to be filled to 80 % of its capacity . if pumping in these additional 700 gallons of water will increase the amount of water in the pool by 30 % , what is the total capacity of the pool in gallons ?
Output: 212
Problem: a group of students decided to collect as many paise from each member of group as is the number of members . if the total collection amounts to rs . 4356 , the number of the member is the group is :
Output: 66
Problem: the difference of two numbers is 2 and the difference of their squares is 12 . the sum of the number is
Output: 6
Problem: a type of extra - large suv averages 12.2 miles per gallon ( mpg ) on the highway , but only 7.6 mpg in the city . what is the maximum distance , in miles , that this suv could be driven on 25 gallons of gasoline ?
Output: 305
Problem: 5 men are equal to as many women as are equal to 8 boys . all of them earn rs . 120 only . men â € ™ s wages are ?
Output: 8 r
Problem: 3 / 5 of all married couples have more than one child . 1 / 4 of all married couples have more than 3 children . what fraction of all married couples have 2 or 3 children ?
Output: 7 / 20
Problem: a and b are two partially filled buckets of water . if 5 liters are transferred from a to b , then a would contain one - third of the amount of water in b . alternatively , if 4 liters are transferred from b to a , b would contain one - half of the amount of water in a . bucket a contains how many liters of water ?
Output: 52 / 5
Problem: a company pays 12.5 % dividend to its investors . if an investor buys rs . 60 shares and gets 25 % on investment , at what price did the investor buy the shares ?
Output: 30
Problem: of the 13 employees in a certain department , 1 has an annual salary of 38,000 , 2 have an annual salary of 45,500 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 ?
Output: 45,500
Problem: what is the 10 digit to the right of the decimal point , in the decimal expansion of ( 1 / 2 ) ^ 10 ?
Problem: find the curved surface area , if the radius of a cone is 35 m and slant height is 30 m ?
Output: 3300
Problem: the sum of two numbers is 20 and the sum of their squares is 140 . find the product of the two numbers .
Output: 130
Problem: a man have 8 t - shirt and some pant . he can dress in 72 ways . then tell me the no . of pant that man have .
Output: 9
Problem: on average , machine a will produce a completed item once every 4 minutes , and machine b will produce a completed item once every 5 minutes . the number of items machine a produces in a 24 - hour period is approximately what percent greater than the number of items machine b would produce in that same period ?
Output: 25 %
Problem: what is the divisor ? the dividend is 76 , the remainder is 8 , the quotient is 4
Output: 17
Problem: in a certain corporation , there are 300 male employees and 150 female employees . it is known that 30 % of the male employees have advanced degrees and 40 % of the females have advanced degrees . if one of the 450 employees is chosen at random , what is the probability this employee has an advanced degree or is female ?
Output: 8 / 15
Problem: at what rate percent per annum will a sum of money double in 6 years .
Output: 16.6
Problem: if 8 gallons of gasoline are added to a tank that is already filled to 3 / 4 of its capacity , the tank is then filled to 9 / 10 of its capacity . how many gallons does the tank hold ?
Output: 48
Problem: a certain company ’ s profit in 1996 was 15 percent greater than its profit in 1995 , and its profit in 1997 was 20 percent greater than its profit in 1996 . the company ’ s profit in 1997 was what percent greater than its profit in 1995 ?
Output: 38
Problem: what percent of 250 is 45 ?
Output: 18 %
Problem: i chose a number and divide it by 2 . then i subtracted 100 from the result and got 4 . what was the number i chose ?
Output: 208
Problem: the perimeter of an isosceles right triangle is 12 + 12 sq rt 2 . what is the length of the hypotenuse of the triangle ?
Output: 8.485', 'e ) 8'
Problem: what is the sum of all possible solutions to | x - 3 | ^ 2 + | x - 3 | = 12 ?
Output: 5
Problem: a certain protective additive increases from 50 days to 60 days the time between required maintenance checks on an industrial vehicle . by what percent is the time between maintenance checks increased by using the additive ?
Output: 20
Problem: given that 268 * 74 = 19832 , find the values of 2.68 * 0.74 .
Output: 1.9832
Problem: the probability of two events a and b are 0.25 and 0.40 respectively . the probability that both a and b occur is 0.15 . the probability that neither a nor b occur is _________
Output: 0.5
Problem: a pump can fill a tank with a water in 2 hours . because of a leak , it took 3 and 1 / 3 hours to fill the tank . the leak can drain all the water of the full tank in how many hours ?
Output: 5 hrs
Problem: if henry were to add 9 gallons of water to a tank that is already 3 / 4 full of water , the tank would be 7 / 8 full . how many gallons of water would the tank hold if it were full ?
Output: 72
Problem: bruce and anne can clean their house in 4 hours working together at their respective constant rates . if anne ’ s speed were doubled , they could clean their house in 3 hours working at their respective rates . how many w hours does it currently take anne to clean the house on her own ?
Output: 12
Problem: the price of an item is discounted 10 percent on day 1 of a sale . on day 2 , the item is discounted another 10 percent , and on day 3 , it is discounted an additional 30 percent . the price of the item on day 3 is what percentage of the sale price on day 1 ?
Output: 63 %
Problem: the price of a book is increased from $ 300 to $ 330 . what is the % of increase in its price ?
Output: 10 %
Problem: a sum of 14,800 amounts to 19,800 in 3 years at the rate of simple interest . what is the rate of interest ?
Output: 11 %
Problem: a train travels at the rate of 10 miles / hr for the first hour of a trip , at 20 miles / hr for the second hour , at 30 miles / hr for the third hour and so on . how many hours will it take the train to complete a 360 - mile journey ? assume that the train makes no intermediate stops .
Output: 8
Problem: in the figure given below , abc and cde are two identical semi - circles of radius 2 units . b and d are the mid points of the arc abc and cde respectively . what is the area of the shaded region ?
Output: 2 π - 4', 'd ) ½ ( 3 π - 1 )', 'e ) 2 π - 2'
Problem: from the sale of sleeping bags , a retailer made a gross profit of 16 % of the wholesale cost . if each sleeping bag was sold for $ 28 , what was the wholesale cost per bag ?
Output: 24.13
Problem: a number is doubled and 5 is added . if the resultant is trebled , it becomes 129 . what is that number ?
Output: 19
Problem: the average temperature for tuesday , wednesday and thursday was 42 ° c . the average temperature for wednesday , thursday and friday was 44 ° c . if the temperature on friday be 43 ° c , what was the temperature on tuesday ?
Output: 37 ° c
Problem: 72519 x 9999 = ?
Output: 725117481
Problem: on a certain date , pat invested $ 5,000 at x percent annual interest , compounded annually . if the total value of the investment plus interest at the end of 10 years will be $ 20,000 , in how many years total will the total value of the investment plus interest increase to $ 40,000 ?
Output: 15
Problem: if a , b , and c are positive real numbers such that a ( b + c ) = 152 , b ( c + a ) = 162 , and c ( a + b ) = 170 , then abc is
Output: d ) 720
Problem: s is a set of 50 consecutive multiples of 2 . if the smallest number in s is 56 , then the greatest number in s is
Output: 154
Problem: the total number of digit used in numbering the pages of a book having 366 pages , is :
Output: 990
Problem: 5.511 / 10.02 =
Output: 0.55
Problem: running at the same constant rate , 6 identical machines can produce a total of 240 bottles per minute . at this rate , how many bottles could 10 such machines produce in 4 minutes ?
Output: 1,600
Problem: there are 5 boxes in a cargo . the weight of the 1 st box is 200 kg , the weight of the 2 nd box is 20 % higher than the third box , whose weight is 25 % higher than the 1 st box weight . the 4 th box which weighs 350 kg is 30 % lighter than the 5 th box . find the difference in average weight of the 4 heaviest boxes and the 4 lightest boxes .
Output: 75
Problem: veena ranks 73 rd from the top in a class of 198 . what is her rank from the bottom if 22 students have failed the examination ?
Output: 104
Problem: if each side of a square is increased by 20 % , find the percentage change in its area ?
Output: 44 %
Problem: by selling 20 pencils for a rupee a man loses 30 % . how many for a rupee should he sell in order to gain 30 % ?
Output: 10.75
Problem: how many positive integers less than 100 are neither multiples of 2 or 3 ?
Output: 33
Problem: an article is bought for rs . 675 and sold for rs . 775 , find the gain percent ?
Output: 14.8 %
Problem: a man buys 60 pens at marked price of 46 pens from a whole seller . if he sells these pens giving a discount of 1 % , what is the profit percent ?
Output: 29.13 %
Problem: a sells a bicycle to b and makes a profit of 25 % . b sells the same bicycle to c at a profit of 25 % . if the final s . p . of the bicycle was rs . 225 , find out the cost price of the bicycle for a .
Output: 14
Problem: what is the area of a regular hexagon with sides 1 in . long ?
Output: 2.59 square inch
Problem: ratio between rahul and deepak is 4 : 2 , after 10 years rahul age will be 26 years . what is deepak present age
Problem: two trains running in opposite directions cross a man standing on the platform in 37 seconds and 27 seconds respectively and they cross each other in 29 seconds . the ratio of their speeds is :
Output: 1 :
Problem: what is the rate percent when the simple interest on rs . 800 amount to rs . 160 in 5 years ?
Output: 4
Problem: if 2 + 2 / x = 3 - 3 / x , then x =
Problem: how many factors of 2475 are odd numbers greater than 1 ?
Output: 17
Problem: harold 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 ?
Output: 1 / 4
Problem: a plant manager must assign 12 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 3 new workers . how many different ways can she assign the new workers ?
Output: 2640
Problem: a and b invests rs . 5000 and rs . 6000 in a business . after 6 months , a withdraws two - fifth of his capital and 2 months later , b withdraws one - third of his capital . in what ratio should they share the profits at the end of the year ?
Output: 3 : 4
Problem: in a maths test , students were asked to find 5 / 16 of a certain number . one of the students by mistake found 5 / 6 th of that number and his answer was 150 more than the correct answer . find the number .
Output: 288
Problem: a , b and c enter into a partnership by investing $ 7000 , $ 11000 and $ 18000 respectively . at the end of 8 months , b receives $ 880 as his share . find the share of a .
Output: $ 560
Problem: bill downloads the movierevenge of the avengersto his computer in 2.5 hours , using a download manager that downloads from 3 sources marked a , b and c . each source provides download at a constant rate , but the rates of different sources are not necessarily identical . if the movie was downloaded from sources a and c alone , it would take 4 hours to complete the download . the next day , source b is available , but the other sources are inactive . how long will it take to download the trailer of the movie , a file that is 10 times smaller , from source b alone ?
Output: 40 minutes
Problem: a bowl of fruit contains 14 apples and 21 oranges . how many oranges must be removed so that 70 % of the pieces of fruit in the bowl will be apples ?
Output: 15
Problem: the present worth of rs . 2310 due 2 years hence , the rate of interest being 15 % per annum , is :
Output: 1680
Problem: after decreasing 24 % in the price of an article costs rs . 684 . find the actual cost of an article ?
Output: 900
Problem: a man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream . the ratio of the speed of the boat in still water and stream is
Output: 3 : 1
Problem: ritesh and co . generated revenue of rs . 1,600 in 2006 . this was 12.5 % of its gross revenue . in 2007 , the gross revenue grew by rs . 2,500 . what is the percentage increase in the revenue in 2007 ?
Output: 19.53 %
Problem: the average ( arithmetic mean ) of the integers from 100 to 400 , inclusive , is how much greater than the average of the integers from 50 to 250 , inclusive ?
Output: 100
Problem: 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 11 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 ?
Output: $ 123.2
Problem: how much is 60 % of 40 is greater than 4 / 5 of 30 ?
Output: 0
Problem: a train speeds past a pole in 22 seconds and a platform 140 m long in 33 seconds . its length is ?
Output: 280
Problem: find the greatest number which on dividing 6215 and 7373 , leaves a reminder of 23 and 29 respectively
Output: 14
Problem: an urn contains 5 red , 6 blue and 8 green balls . 3 balls are randomly selected from the urn , find the probability that the drawn ball are blue ?
Output: 20 / 969
Problem: the pinedale bus line travels at an average speed of 60 km / h , and has stops every 5 minutes along its route . yahya wants to go from his house to the pinedale mall , which is 8 stops away . how far away , in kilometers , is pinedale mall away from yahya ' s house ?
Output: 40 km
Problem: the sum of ages of 5 children born at the intervals of 2 years each is 55 years . what is the age of the youngest child ?
Output: 7
Problem: what is the probability of getting a sum 9 from two throws of dice .
Output: 1 / 9
Problem: two equally sized jugs full of water are each emptied into two separate unequally sized empty jugs , x and y . now , jug x is 1 / 5 full , while jug y is 4 / 7 full . if water is poured from jug x into jug y until jug y is filled , what fraction of jug x then contains water ?
Output: 1 / 20
Problem: two goods trains each 820 m long are running in opposite directions on parallel tracks . their speeds are 45 km / hr and 30 km / hr respectively . find the time taken by the slower train to pass the driver of the faster one ?
Output: 78.72
Problem: 20 beavers , working together in a constant pace , can build a dam in 3 hours . how many hours c will it take 12 beavers that work at the same pace , to build the same dam ?
Output: c = 5 .
Problem: indu gave bindu rs . 1875 on compound interest for 2 years at 4 % per annum . how much loss would indu has suffered had she given it to bindu for 2 years at 4 % per annum simple interest ?
Output: s . 3
Problem: how many integers are between 7 and 57 / 4 , inclusive ?
Output: 8
Problem: a bottle contains a certain solution . in the bottled solution , the ratio of water to soap is 3 : 4 , and the ratio of soap to salt is five times this ratio . the solution is poured into an open container , and after some time , the ratio of water to soap in the open container is halved by water evaporation . at that time , what is the ratio of water to salt in the solution ?
Output: 9 : 32
Problem: 3 / 5 * [ ( 2 / 3 + 3 / 8 ) / 2 ] - 1 / 16 =
Output: 1 / 4
Problem: steve traveled the first 2 hours of his journey at 40 mph and the last 3 hours of his journey at 100 mph . what is his average speed of travel for the entire journey ?
Output: 76 mp
Problem: each of the cucumbers in 100 pounds of cucumbers is composed of 99 % water , by weight . after some of the water evaporates , the cucumbers are now 93 % water by weight . what is the new weight of the cucumbers , in pounds ?
Output: 15
Problem: the cost of the paint is rs . 50 per kg . if 1 kg of paint covers 20 sq . ft , how much will it cost to paint outside of a cube having 20 feet each side
Output: rs . 6000
Problem: a man can row downstream at 25 kmph and upstream at 15 kmph . find the time to reach a destination point at a distance of 50 km along the downstream .
Output: 2 hrs .
Problem: a train is 360 meter long is running at a speed of 45 km / hour . in what time will it pass a bridge of 160 meter length ?
Output: 41.6 seconds
Problem: the ratio of three numbers is 1 : 2 : 3 and the sum of their squares is 2016 . the sum of the numbers is ?
Output: b ) 12
Problem: a certain airline ' s fleet consisted of 90 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 ?
Output: 13
Problem: john makes $ 60 a week from his job . he earns a raise andnow makes $ 78 a week . what is the % increase ?
Output: 30 %
Problem: what is the perimeter of a square field whose diagonal is 8 â ˆ š 2 ?
Output: 32 m
Problem: a jogger running at 9 km / hr along side a railway track is 250 m ahead of the engine of a 120 m long train running at 45 km / hr in the same direction . in how much time will the train pass the jogger ?
Output: 37 sec
Problem: find the simple interest on $ 1000 for 3 years at 10 % per annum ?
Output: $ 300
Problem: two pipes a and b can separately fill a cistern in 60 minutes and 75 minutes respectively . there is a third pipe in the bottom of the cistern to empty it . if all the three pipes are simultaneously opened , then the cistern is full in 50 minutes . in how much time , the third pipe alone can empty the cistern ?
Output: 100 min
Problem: of the 20,210 employees of the anvil factory , 2 / 7 are journeymen . if half of the journeymen were laid off , what percentage of the total remaining employees would be journeymen ?
Output: 49.67
Problem: if jimmy drinks 8 ounces of water each time for 8 times a day . how much gallons of water he would have to prepare ahead to drink for 5 days ? ( 1 ounce = 0.0078125 gallon )
Output: 2.5
Problem: 100 people are attending a newspaper conference . 45 of them are writers and more than 36 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Output: 18
Problem: two trains , a and b , started simultaneously from opposite ends of a 120 - mile route and traveled toward each other on parallel tracks . train a , traveling at a constant rate , completed the 120 - mile trip in 6 hours ; train b , traveling at a constant rate , completed the 120 - mile trip in 4 hours . how many miles had train a traveled when it met train b ?
Output: 48
Problem: if a speaks the truth 55 % of the times , b speaks the truth 60 % of the times . what is the probability that they tell the truth at the same time
Output: 0.33
Problem: the closest approximation of ( 69.28 × 0.004 ) / 0.03 is
Output: 9.2
Problem: to complete a work a and b takes 8 days , b and c takes 12 days , a , b and c takes 6 days . how much time a and c will take
Output: 8 days
Problem: 16 is divided into two parts in such a way that seventh part of first and ninth part of second are equal . find the smallest part ?
Problem: maxwell leaves his home and walks toward brad ' s house . one hour later , brad leaves his home and runs toward maxwell ' s house . if the distance between their homes is 34 kilometers , maxwell ' s walking speed is 4 km / h , and brad ' s running speed is 6 km / h . what is the total time it takes maxwell before he meets up with brad ?
Output: 4
Problem: if log 2 x - 5 log x + 6 = 0 , then what would the value / values of x be ?
Output: 5.3296
Problem: the salary of a person was reduced by 25 % . by what percent should his reduced salary be raised so as to bring it at par with his original salary ?
Output: 33.33 %
Problem: if a light flashes every 6 seconds , how many times will it flash in 1 / 3 of an hour ?
Output: 201
Problem: if ( x + 1 ) ( x + 3 ) = x ^ 2 + x , what is a possible value of x ?
Output: -
Problem: a company recently conducted a survey and found that 20,000 of its customers live in rural areas . if the number of customers who live in urban areas is 100 percent greater than the number of customers who live in rural areas , how many customers live in urban areas ?
Output: 40,000
Problem: as a treat for her two children , a mother runs to the freezer in which she has 3 cherry ice pops , 4 orange ice pops , and 4 lemon ice pops . she chooses two at random to bring outside to the children , but realizes as she runs out the door that she can not bring them different flavors without one being jealous of the other and getting even more upset . what is the probability that she has to return to the freezer to make sure that they each receive the same flavor ?
Output: 8 / 11
Problem: john traveled 80 % of the way from yellow - town to green - fields by train at an average speed of 80 miles per hour . the rest of the way john traveled by car at an average speed of v miles per hour . if the average speed for the entire trip was 70 miles per hour , what is v in miles per hour ?
Output: 6
Problem: a rectangular plot measuring 90 metres by 50 metres is to be enclosed by wire fencing . if the poles of the fence are kept 10 metres apart , how many poles will be needed ?
Output: 28
Problem: if in a race of 80 m , a covers the distance in 20 seconds and b in 25 seconds , then a beats b by :
Output: 16 m
Problem: when two dice are rolled , what is the probability that the sum of the two numbers is 6 ?
Output: 5 / 36
Problem: two trains start from a & b and travel towards each other at speed of 50 kmph and 60 kmph resp . at the time of the meeting the second train has traveled 100 km more than the first . the distance between them .
Output: 1100 km
Problem: a dog takes 5 leaps for every 7 leaps of a hare . if one leap of the dog is equal to 3 leaps of the hare , the ratio of the speed of the dog to that of the hare is :
Output: 15 : 7
Problem: if x < y < z and y - x > 5 , where x is an even integer and y and z are odd integers , what is the least possible value a of z - x ?
Output: 9
Problem: 0.1 + ( 0.1 ) ^ 2 + ( 0.1 ) ^ 3 =
Output: 0.111
Problem: a train 360 m long runs with a speed of 45 km / hr . what time will it take to pass a platform of 140 m long ?
Output: 40 sec
Problem: convert the 17 / 36 m / s into kilometers per hour ?
Output: 1.7
Problem: two guys a and b leave point a and point b simultaneously and travel towards point b and point a on the same route at their respective constant speeds . they meet along the route and immediately proceed to their respective destinations in 32 minutes and 50 minutes respectively . how long will b take to cover the entire journey between point b and point a ?
Output: 90
Problem: in what time will a train 140 m long cross an electric pole , it its speed be 190 km / hr ?
Output: 2.6 sec
Problem: if 63 percent of a class answered the first question on a certain test correctly , 50 percent answered the second question on the test correctly , and 20 percent answered neither of the questions correctly , what percent answered both correctly ?
Output: 33 %
Problem: the area of a square garden is a square feet and the perimeter is p feet . if a = 2 p + 26.25 , what is the perimeter of the garden , in feet ?
Output: 42
Problem: for the past n days , the average ( arithmetic mean ) daily production at a company was 50 units . if today ' s production of 95 units raises the average to 55 units per day , what is the value of n ?
Output: 8
Problem: how many seconds will a 300 m long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr ?
Output: 18 se
Problem: by investing in 1623 % stock at 64 , one earns rs . 1600 . the investment made is
Output: s . 6144
Problem: abcd is a parallelogram . bd = 2 . the angles of triangle bcd are all equal . what is the perimeter of the parallelogram ?
Output: 8', 'e ) 3 √ 3'
Problem: the number 42 can be written as the sum of the squares of 3 different positive integers . what is the sum of these 3 integers ?
Output: 10
Problem: if the price of petrol increases by 40 , by how much must a user cut down his consumption so that his expenditure on petrol remains constant ?
Output: 28.6 %
Problem: how many factors does 36 ^ 2 have ?
Output: 25
Problem: the average of 6 no . ' s is 3.95 . the average of 2 of them is 3.8 , while the average of theother 2 is 3.85 . what is the average of the remaining 2 no ' s ?
Output: 4.2
Problem: 14 times a number gives 210 . the number is
Output: 15
Problem: the average of 7 numbers is 24 . if each number be multiplied by 5 . find the average of new set of numbers ?
Output: 120
Problem: a cycle is bought for rs . 900 and sold for rs . 1080 , find the gain percent ?
Output: 20 %
Problem: excluding stoppages , the speed of a train is 45 kmph and including stoppages it is 30 kmph . of how many minutes does the train stop per hour ?
Output: c ) 20
Problem: if rs . 544 be divided among a , b , c in such a way that a gets 2 / 3 of what b gets and b gets 1 / 4 of what c gets , then their shares are respectively ?
Output: s . 384
Problem: m = { - 6 , - 5 , - 4 , - 3 , - 2 } t = { - 3 , - 2 , - 1 , 0 , 1 , 2 , 3 , 4 } if an integer is to be randomly selected from set m above and an integer is to be randomly selected from set t above , what is the probability that the product of the two integers will be negative ?
Output: 1 / 2
Problem: a 300 m long train crosses a platform in 48 sec while it crosses a signal pole in 18 sec . what is the length of the platform ?
Output: 500
Problem: the average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 22 years . find the average age of the women ?
Output: 29
Problem: a tank contains 7,000 gallons of a solution that is 5 percent sodium chloride by volume . if 2,500 gallons of water evaporate from the tank , the remaining solution will be approximately what percent sodium chloride ?
Output: 7.77 %
Problem: if 20 % of x is 15 less than 15 % of 1500 , then x is ?
Output: 105
Problem: a certain fraction is equivalent to 2 / 5 . if the numerator of the fraction is increased by 4 and the denominator is doubled , the new fraction is equivalent to 1 / 3 . what is the difference of the numerator and denominator of the original fraction ?
Output: 9
Problem: the average of numbers 0.34204 , 0.34203 , 0.34202 and 0.34201 is ?
Output: 0.342025
Problem: what is the total number of integers between 10 and 100 ( exclusive ) that are divisible by 7 ?
Output: 13
Problem: if the average of 5 positive integers is 70 and the difference between the largest and the smallest of these 5 numbers is 10 , what is the maximum value possible for the largest of these 5 integers ?
Output: 78
Problem: a rectangular photograph is surrounded by a border that is 3 inch wide on each side . the total area of the photograph and the border is m square inches . if the border had been 6 inches wide on each side , the total area would have been ( m + 178 ) square inches . what is the perimeter of the photograph , in inches ?
Output: 2
Problem: the two lines y = x and x = - 4 intersect on the coordinate plane . if z represents the area of the figure formed by the intersecting lines and the x - axis , what is the side length e of a cube whose surface area is equal to 6 z ?
Output: e = 2 √ 2
Problem: two numbers are in the ratio 3 : 5 . if 9 be subtracted from each , they are in the ratio of 1 : 2 . the first number is :
Output: a ) 27
Problem: what number times ( 1 ⁄ 6 ) ^ 2 will give the value of 6 ^ 3 ?
Output: 777
Problem: a can contains a mixture of liquids a and b is the ratio 7 : 5 . when 18 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 of liquid a was contained by the can initially ?
Output: 42
Problem: angelo and isabella are both salespersons . in any given week , angelo makes $ 560 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 ?
Output: 24,000
Problem: a can do a piece of work in 16 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 ?
Output: 1
Problem: what is the normal price of an article sold at $ 72 after two successive discounts of 10 % and 20 % ?
Output: $ 100
Problem: during a certain two - week period , 76 percent of the movies rented from a video store were comedies , and of the remaining movies rented , there were 5 times as many dramas as action movies . if no other movies were rented during that two - week period and there were a action movies rented , then how many comedies , in terms of a , were rented during that two - week period ?
Output: 19 a
Problem: of the 200 stamps in a collection , 80 are foreign and 50 are more than 10 years old . if 20 stamps are both foreign and more than 10 years old , how many stamps are neither foreign nor more than 10 years old ?
Output: 90
Problem: running at their respective constant rates , machine x takes 2 days longer to produce w widgets than machine y . at these rates , if the two machines together produce 5 / 4 w widgets in 3 days , how many days would it take machine x alone to produce 3 w widgets ?
Output: 18
Problem: 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 / 4 of all the paint . during the second week , he uses 1 / 3 of the remaining paint . how many gallons of paint has joe used ?
Output: 180
Problem: the cost of 2 chairs and 3 tables is rs . 1400 . the cost of 3 chairs and 2 tables is rs . 1200 . the cost of each table is more than that of each chair by ?
Output: 20
Problem: if a truck is traveling at a constant rate of 108 kilometers per hour , how many seconds will it take the truck to travel a distance of 600 meters ? ( 1 kilometer = 1000 meters )
Output: 20
Problem: if x + y = 4 and x 2 y 3 + y 2 x 3 = 36 , what is the value of xy ?
Output: 4
Problem: what is the least number that should be added to 1054 , so the sum of the number is divisible by 23 ?
Output: 4
Problem: two bullet trains of equal lengths take 10 seconds and 12 seconds respectively to cross a telegraph post . if the length of each bullet train be 120 metres , in what time ( in seconds ) will they cross each other travelling in opposite direction ?
Output: 11 sec .
Problem: if d is the standard deviation a , b , and c , what is the standard deviation of a + 6 , b + 6 , c + 6 ?
Output: d
Problem: 70 % of x is greater than 1 / 3 rd of x by 110 . what is x ?
Output: 300
Problem: eight machines , each working at the same constant rate , together can complete a certain job in 20 days . how many additional machines , each working at the same constant rate , will be needed to complete the job in 16 days ?
Problem: in a competitive examination in state a , 6 % candidates got selected from the total appeared candidates . state b had an equal number of candidates appeared and 7 % candidates got selected with 80 more candidates got selected than a . what was the number of candidates appeared from each state ?
Output: 8000
Problem: the sector of a circle has perimeter of 144 cm and central angle 180 o . find its radius ?
Output: 28 cm
Problem: the dimensions of a room are 10 m x 7 m x 5 m . there are 2 doors and 3 windows in the room . the dimensions of the doors are 1 m x 3 m . one window is of size 2 m x 1.5 m and the other 2 windows are of size 1 m x 1.5 m . the cost of painting the walls at rs . 3 per sq m is ?
Output: rs . 474
Problem: ravi and kavi start a business by investing â ‚ ¹ 2000 and â ‚ ¹ 72000 , respectively . find the ratio of their profits at the end of year .
Output: 1 : 36
Problem: the owner of a furniture shop charges his customer 25 % more than the cost price . if a customer paid rs . 1000 for a computer table , then what was the cost price of the computer table ?
Output: 80
Problem: a worker earns $ 20 on the first day and spends $ 15 on the second day . the worker earns $ 20 on the third day and spends $ 15 on the fourth day . if this pattern continues , on which day will the worker first reach a net total of $ 100 ?
Output: 33
Problem: john makes $ 60 a week from his job . he earns a raise and now makes $ 100 a week . what is the % increase ?
Output: 66.67 %
Problem: 6 men and 8 women can complete a work in 10 days . 26 men and 48 women can finish the same work in 2 days . 15 men and 20 women can do the same work in - days .
Output: 4 days
Problem: a farmer has an apple orchard consisting of fuji and gala apple trees . due to high winds this year 10 % of his trees cross pollinated . the number of his trees that are pure fuji plus the cross - pollinated ones totals 153 , while 3 / 4 of all his trees are pure fuji . how many of his trees are pure gala ?
Output: 27
Problem: how long does a bus 100 m long traveling at 50 kmph takes to cross a bridge of 150 m in length ?
Output: 18
Problem: a cistern 5 m long and 4 m wide contains water up to a depth of 1 m 25 cm . the total area of the wet surface is :
Output: 42.5 m 2
Problem: a sun is divided among x , y and z in such a way that for each rupee x gets , y gets 45 paisa and z gets 50 paisa . if the share of y is rs . 63 , what is the total amount ?
Output: 273
Problem: find the value of 1 / ( 3 + 1 / ( 3 + 1 / ( 3 - 1 / 3 ) ) )
Output: 27 / 89
Problem: if a - b = 5 and a 2 + b 2 = 31 , find the value of ab .
Output: 3
Problem: if circles x and y have the same area and circle x has a circumference of 18 π , half of the radius of circle y is :
Output: 4.5
Problem: the present population of a town is 2000 . population increase rate is 20 % p . a . find the population of town after 1 years ?
Output: 2400
Problem: the ratio of money with ram and gopal is 7 : 17 and that with gopal and krishan is 7 : 17 . if ram has rs . 490 , krishan has ?
Output: rs . 2890
Problem: by selling an article for $ 195 , a person gains $ 45 . what is the gain % ?
Output: 30 %
Problem: by selling an article at rs . 600 , a profit of 60 % is made . find its cost price ?
Output: 375
Problem: ray writes a two digit number . he sees that the number exceeds 4 times the sum of its digits by 3 . if the number is increased by 18 , the result is the same as the number formed by reversing the digits . find the number .
Output: 5
Problem: how many 3 - digit integers between 311 and 401 , exclusive , are divisible by 3 when the tens digit and the hundered digit are switched ?
Output: 30
Problem: the length of a rectangle is reduced by 22 % . by what % would the width have to be increased to maintain the original area ?
Output: 28 %
Problem: a can do a piece of work in 28 days and b alone can do it in 10 days . b works at it for 5 days and then leaves . a alone can finish the remaining work in
Output: 14 days
Problem: if ( x + 3 ) ^ 2 / ( 3 x + 5 ) = 2 , then the difference between the two possible values of x is :
Output: 2
Problem: a train 110 m long is running with a speed of 90 km / h . in how many seconds will the train pass a man who is running at 9 km / h in the direction opposite to that in which the train is going ?
Output: 4
Problem: the ratio between the length and the breadth of a rectangular park is 2 : 3 if a man cycling along the boundary of the park at the speed of 10 km / hr completes one round in 18 min , then the area of the park ( in sq . m ) is ?
Output: 540000 m
Problem: a car drives 60 miles on local roads at 20 mph , and 195 miles on the highway at 65 mph , what is the average speed of the entire trip ?
Output: 43 mph
Problem: a number x is mistakenly divided by 10 instead of being multiplied by 10 . what is the percentage error in the result ?
Output: - 99 %
Problem: if x > 3000 , then the value of ( 1.2 x ) / ( 0.5 x - 406 ) is closest to ?
Output: 3 /
Problem: a room 5 m 55 cm long and 3 m 74 cm broad is to be paved with square tiles . find the least number of square tiles required to cover the floor ?
Output: 17
Problem: a train passes a platform in 32 seconds . the same train passes a man standing on the platform in 20 seconds . if the speed of the train is 54 km / hr , the length of the platform is
Output: 180 meter
Problem: the cost price of an book is 64 % of the marked price . calculate the gain percent after allowing a discount of 12 % ?
Output: 37.5 %
Problem: how much water must be added to 64 litres of milk at 1 1 ⁄ 2 litres for 20 so as to have a mixture worth 10 2 ⁄ 3 a litre ?
Output: 16 litres
Problem: the ratio between the length and the breadth of a rectangular park is 3 : 2 . if a man cycling along theoundary of the park at the speed of 12 km / hr completes one round in 8 min , then thearea of the park ( in sq . m ) is ?
Output: 153600
Problem: 3 numbers are in the ratio 3 : 5 : 7 . the largest number value is 70 . find difference between smallest & largest number is ?
Output: 40
Problem: in a 80 meters race a beats b by 56 m or 7 seconds . a ' s time over the course is :
Output: 3 seconds
Problem: there are 5 people who can build 5 houses in just 5 days . increase the amount of people to 100 . how long would it take these 100 people to build 100 houses ?
Output: 5 days
Problem: the smallest number which when diminished by 2 , is divisible by 12 , 16 , 18 , 21 and 28 is
Output: 1010
Problem: 45 workers work 8 hours to dig a hole 30 meters deep . how many extra workers should be hired to dig another hole 55 meters deep by working for 6 hours ?
Output: 65
Problem: the length of the bridge , which a train 150 metres long and travelling at 54 km / hr can cross in 30 seconds , is ?
Output: 320 m .
Problem: a train 700 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 ?
Output: 600 m
Problem: in a new housing development , trees are to be planted along the sidewalk of a certain street . each tree takes up one square foot of sidewalk space , and there are to be 12 feet between each tree . how many trees can be planted if the road is 157 feet long ?
Output: 1
Problem: how many integers from 0 to 56 , inclusive , have a remainder of 1 when divided by 3 ?
Output: 1
Problem: a train 360 m long runs with a speed of 45 km / hr . what time will it take to pass a platform of 150 m long ?
Output: 40.8 sec
Problem: the mean proportional between 4 and 16 is ?
Output: 1
Problem: two brother x and y appeared for an exam . the probability of selection of x is 1 / 3 and that of b is 2 / 7 . find the probability that both of them are selected .
Output: 2 / 21
Problem: if a speaks the truth 60 % of the times , b speaks the truth 50 % of the times . what is the probability that at least one will tell the truth
Output: 0.8
Problem: meena wrote all the numbers from 1 to 29,999 inclusive . how many digits did she write in total ?
Output: 138,889
Problem: a box contains 22 electric bulbs , out of which 4 are defective . two bulbs are chosen at random from this box . the probability that at least one of these is defective is
Output: 26 / 7
Problem: the events a and b are independent , the probability that event a occurs is greater than 0 , and the probability that event a occurs is twice the probability that event b occurs . the probability that at least one of events a and b occurs is 8 times the probability that both events a and b occur . what is the probability that event a occurs ?
Output: 1 / 3
Problem: if - 2 and - 3 are negative integers , then - 2 * - 3 + 2 is
Output: 8
Problem: a can give b 50 meters start and c 100 meters start in a kilometer race . how much start can b give c in a kilometer race ?
Output: 52.63