{"doc_id": 0, "doc": {"Problem": "a shopkeeper sold an article offering a discount of 5 % and earned a profit of 31.1 % . what would have been the percentage of profit earned if no discount had been offered ?", "Rationale": "\"giving no discount to customer implies selling the product on printed price . suppose the cost price of the article is 100 . then printed price = 100 ã — ( 100 + 31.1 ) / ( 100 â ˆ ’ 5 ) = 138 hence , required % profit = 138 â € “ 100 = 38 % answer a\"", "options": "a ) 38 , b ) 27.675 , c ) 30 , d ) data inadequate , e ) none of these", "correct": "a", "annotated_formula": "subtract(divide(multiply(add(const_100, 31.1), const_100), subtract(const_100, 5)), const_100)", "linear_formula": "add(n1,const_100)|subtract(const_100,n0)|multiply(#0,const_100)|divide(#2,#1)|subtract(#3,const_100)|", "category": "gain"}, "target": "38", "arguments": ["Question: a circular well with a diameter of 4 metres , is dug to a depth of 14 metres . what is the volume of the earth dug out ?\nAnswer: 176 m 3\n\nQuestion: what is the hcf of 2 / 3 , 4 / 9 and 6 / 18\nAnswer: 1 / 9\n\nQuestion: a car traveled 75 % of the way from town a to town b at an average speed of 50 miles per hour . the car travels at an average speed of s miles per hour for the remaining part of the trip . the average speed for the entire trip was 60 miles per hour . what is s ?\nAnswer: 150\n\nQuestion: on dividing 265 by a number , the quotient is 12 and the remainder is 1 . find the divisor .\nAnswer: e ) 22\n\nQuestion: a shopkeeper sold an article offering a discount of 5 % and earned a profit of 31.1 % . what would have been the percentage of profit earned if no discount had been offered ?\nAnswer:", " 38"], "resps": [[[-5.551372528076172, false]], [[-15.428857803344727, false]], [[-4.153011322021484, false]], [[-25.281858444213867, false]], [[-16.140947341918945, false]]], "filtered_resps": [[-5.551372528076172, false], [-15.428857803344727, false], [-4.153011322021484, false], [-25.281858444213867, false], [-16.140947341918945, false]], "acc": 0.0, "acc_norm": 0.0}
{"doc_id": 1, "doc": {"Problem": "what will be the difference between simple and compound interest at 14 % per annum on a sum of rs . 1000 after 4 years ?", "Rationale": "\"s . i . = ( 1000 * 14 * 4 ) / 100 = rs . 560 c . i . = [ 1000 * ( 1 + 14 / 100 ) 4 - 1000 ] = rs . 689 difference = ( 689 - 560 ) = rs . 129 answer : a\"", "options": "a ) 129 , b ) 130 , c ) 124 , d ) 133 , e ) 145", "correct": "a", "annotated_formula": "subtract(subtract(multiply(1000, power(add(divide(14, const_100), const_1), 4)), 1000), multiply(multiply(1000, divide(14, const_100)), 4))", "linear_formula": "divide(n0,const_100)|add(#0,const_1)|multiply(n1,#0)|multiply(n2,#2)|power(#1,n2)|multiply(n1,#4)|subtract(#5,n1)|subtract(#6,#3)|", "category": "gain"}, "target": "129", "arguments": ["Question: gwen drove an average speed of 15 miles per hour for the first 40 miles of a tripthen at a average speed of 30 miles / hr for the remaining 40 miles of the trip if she made no stops during the trip what was gwen ' s avg speed in miles / hr for the entire trip\nAnswer: 20\n\nQuestion: following an increase in prices , the price of a candy box was 10 pounds and the price of a can of soda was 15 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 ?\nAnswer: 18 .\n\nQuestion: sachin is younger than rahul by 18 years . if the ratio of their ages is 7 : 9 , find the age of sachin\nAnswer: 63\n\nQuestion: a goods train runs at the speed of 72 kmph and crosses a 230 m long platform in 26 seconds . what is the length of the goods train ?\nAnswer: 290 m\n\nQuestion: what will be the difference between simple and compound interest at 14 % per annum on a sum of rs . 1000 after 4 years ?\nAnswer:", " 129"], "resps": [[[-8.612970352172852, false]], [[-6.711771488189697, false]], [[-8.007883071899414, false]], [[-8.116739273071289, false]], [[-7.87969446182251, false]]], "filtered_resps": [[-8.612970352172852, false], [-6.711771488189697, false], [-8.007883071899414, false], [-8.116739273071289, false], [-7.87969446182251, false]], "acc": 0.0, "acc_norm": 0.0}
{"doc_id": 2, "doc": {"Problem": "there are 28 stations between hyderabad and bangalore . how many second class tickets have to be printed , so that a passenger can travel from any station to any other station ?", "Rationale": "\"the total number of stations = 30 from 30 stations we have to choose any two stations and the direction of travel ( i . e . , hyderabad to bangalore is different from bangalore to hyderabad ) in 3 ⁰ p ₂ ways . 30 p ₂ = 30 * 29 = 870 . answer : c\"", "options": "a ) 156 , b ) 167 , c ) 870 , d ) 352 , e ) 380", "correct": "c", "annotated_formula": "multiply(add(28, const_1), add(add(28, const_1), const_1))", "linear_formula": "add(n0,const_1)|add(#0,const_1)|multiply(#0,#1)|", "category": "physics"}, "target": "870", "arguments": ["Question: a sum is divided among b , c and d in such a way that for each rupee b gets , c gets 150 paisa and d gets 50 paisa . if the share of c is rs . 40 , what is the total amount ?\nAnswer: 80\n\nQuestion: mike earns $ 14 per hour and phil earns $ 10.5 per hour . approximately how much less , as a percentage , does phil earn than mike per hour ?\nAnswer: 25 %\n\nQuestion: a batsman makes a score of 82 runs in the 17 th inning and thus increases his averages by 3 . what is his average after 17 th inning ?\nAnswer: 34\n\nQuestion: a , b , k start from the same place and travel in the same direction at speeds of 30 km / hr , 40 km / hr , 60 km / hr respectively . b starts three hours after a . if b and k overtake a at the same instant , how many hours after a did k start ?\nAnswer: 6\n\nQuestion: there are 28 stations between hyderabad and bangalore . how many second class tickets have to be printed , so that a passenger can travel from any station to any other station ?\nAnswer:", " 156"], "resps": [[[-8.808416366577148, false]], [[-8.590215682983398, false]], [[-10.443174362182617, false]], [[-9.836599349975586, false]], [[-9.175664901733398, false]]], "filtered_resps": [[-8.808416366577148, false], [-8.590215682983398, false], [-10.443174362182617, false], [-9.836599349975586, false], [-9.175664901733398, false]], "acc": 0.0, "acc_norm": 0.0}
{"doc_id": 3, "doc": {"Problem": "the present population of a town is 3888 . population increase rate is 20 % p . a . find the population of town before 2 years ?", "Rationale": "\"p = 3888 r = 20 % required population of town = p / ( 1 + r / 100 ) ^ t = 3888 / ( 1 + 20 / 100 ) ^ 2 = 3888 / ( 6 / 5 ) ^ 2 = 2700 ( approximately ) answer is e\"", "options": "a ) 2500 , b ) 2100 , c ) 3500 , d ) 3600 , e ) 2700", "correct": "e", "annotated_formula": "add(3888, divide(multiply(3888, 20), const_100))", "linear_formula": "multiply(n0,n1)|divide(#0,const_100)|add(n0,#1)|", "category": "gain"}, "target": "2700", "arguments": ["Question: the weight of every type a widget is the same , the weight of every type b widget is the same , and the weight of every type c widget is the same . if the weight of 7 type a widgets is equal to the weight of 2 type b widgets , and the weight of 4 type b widgets is equal to the weight of 7 type c widgets . what is the ratio of the total weight of 1 type a widget and 1 type b widget , to the total weight of 1 type b widget and 1 type c widget ?\nAnswer: 9 : 11\n\nQuestion: a 9 - meter long wire is cut into two pieces . if the longer piece is then used to form a perimeter of a square , what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point ?\nAnswer: 2 / 9\n\nQuestion: the number of timeshare condos available at sunset beach is 2 / 5 the number of timeshare condos available at playa del mar . if the total number of timeshare condos available at the two beaches combined is 210 , what is the difference between the number of condos available at sunset beach and the number of condos available at playa del mar ?\nAnswer: 90\n\nQuestion: a and b can do a piece of work in 60 days and 60 days respectively . they work together for 10 days and b leaves . in how many days the whole work is completed ?\nAnswer: 30 days\n\nQuestion: the present population of a town is 3888 . population increase rate is 20 % p . a . find the population of town before 2 years ?\nAnswer:", " 2500"], "resps": [[[-7.6685380935668945, false]], [[-8.16148853302002, false]], [[-7.777310371398926, false]], [[-8.022066116333008, false]], [[-8.186005592346191, false]]], "filtered_resps": [[-7.6685380935668945, false], [-8.16148853302002, false], [-7.777310371398926, false], [-8.022066116333008, false], [-8.186005592346191, false]], "acc": 0.0, "acc_norm": 0.0}
{"doc_id": 4, "doc": {"Problem": "the triplicate ratio of 1 : 9 is ?", "Rationale": "\"13 : 93 = 1 : 729 answer : e\"", "options": "a ) 1 : 0 , b ) 1 : 8 , c ) 1 : 7 , d ) 1 : 2 , e ) 1 : 729", "correct": "e", "annotated_formula": "divide(power(const_2.0, 9), power(const_3.0, 9))", "linear_formula": "power(const_2.0,n1)|power(const_3.0,n1)|divide(#0,#1)|", "category": "other"}, "target": "1 : 729", "arguments": ["Question: if 5 ^ 21 x 4 ^ 11 = 2 x 10 ^ n . what is the value of n ?\nAnswer: 21\n\nQuestion: excluding stoppages , the speed of a train is 54 kmph and including stoppages it is 40 kmph . of how many minutes does the train stop per hour ?\nAnswer: c ) 15.55\n\nQuestion: the sum of the numbers is 660 . if the first number be twice the second and third number be one - third of the first , then the second number is :\nAnswer: 180\n\nQuestion: the banker ' s gain of a certain sum due 2 years hence at 10 % per annum is rs . 24 . the present worth is\nAnswer: rs . 600\n\nQuestion: the triplicate ratio of 1 : 9 is ?\nAnswer:", " 1 : 0"], "resps": [[[-8.735991477966309, false]], [[-7.541701316833496, false]], [[-8.25577449798584, false]], [[-8.393889427185059, false]], [[-17.276824951171875, false]]], "filtered_resps": [[-8.735991477966309, false], [-7.541701316833496, false], [-8.25577449798584, false], [-8.393889427185059, false], [-17.276824951171875, false]], "acc": 0.0, "acc_norm": 0.0}
{"doc_id": 5, "doc": {"Problem": "the sum of all the integers s such that - 26 < s < 24 is", "Rationale": "\"easy one - - 25 , - 24 , - 23 , - 22 , . . . . . . - 1,0 , 1 , 2 . . . . , 22 , 23 cancel everyhitng and we ' re left with - - 25 and - 24 s = - 49 . d is the answer .\"", "options": "a ) 0 , b ) - 2 , c ) - 25 , d ) - 49 , e ) - 51", "correct": "d", "annotated_formula": "add(add(negate(26), const_1), add(add(negate(26), const_1), const_1))", "linear_formula": "negate(n0)|add(#0,const_1)|add(#1,const_1)|add(#1,#2)|", "category": "general"}, "target": "- 49", "arguments": ["Question: if p ^ 2 – 13 p + 40 = h , and p is a positive integer between 1 and 10 , inclusive , what is the probability that h < 0 ?\nAnswer: 1 / 5\n\nQuestion: after getting 2 successive discounts , a shirt with a list price of rs 150 is available at rs 105 . if the second discount is 12.55 , find the first discount .\nAnswer: 20 %\n\nQuestion: joe has a total of $ 200 in his two pockets . he takes one fourth of the money in his left pocket and puts it in his right pocket . he then takes $ 20 from his left pocket and puts it in his right pocket . if he now has an equal amount of money in each pocket , then how much money did he originally have in his left pocket ?\nAnswer: $ 160\n\nQuestion: there was a cycle race going on . 1 / 5 th of the those in front of a person and 5 / 6 th of those behind him gives the total number of participants . how many people took part in the race ?\nAnswer: 31\n\nQuestion: the sum of all the integers s such that - 26 < s < 24 is\nAnswer:", " 0"], "resps": [[[-3.6299359798431396, false]], [[-6.2971296310424805, false]], [[-6.412287712097168, false]], [[-9.66511058807373, false]], [[-9.517909049987793, false]]], "filtered_resps": [[-3.6299359798431396, false], [-6.2971296310424805, false], [-6.412287712097168, false], [-9.66511058807373, false], [-9.517909049987793, false]], "acc": 0.0, "acc_norm": 0.0}
{"doc_id": 6, "doc": {"Problem": "a full stationary oil tank that is a right circular cylinder has a radius of 100 feet and a height of 25 feet . oil is pumped from the stationary tank to an oil truck that has a tank that is a right circular cylinder until the truck ' s tank is completely filled . if the truck ' s tank has a radius of 6 feet and a height of 10 feet , how far ( in feet ) did the oil level drop in the stationary tank ?", "Rationale": "\"the volume of oil pumped to the tank = the volume of oil taken away from stationary cylinder . pi * 36 * 10 = pi * h * 100 * 100 ( h is distance that the oil level dropped ) h = 360 / 10,000 = 36 / 1000 = 0.036 ft the answer is a .\"", "options": "a ) 0.036 , b ) 0.36 , c ) 0.6 , d ) 6 , e ) 3.6", "correct": "a", "annotated_formula": "divide(volume_cylinder(6, 10), circle_area(100))", "linear_formula": "circle_area(n0)|volume_cylinder(n2,n3)|divide(#1,#0)|", "category": "geometry"}, "target": "0.036", "arguments": ["Question: what is 1 percent of 12,356 ?\nAnswer: 123.56\n\nQuestion: a certain store sold pens for $ 0.35 each and pencils for $ 0.25 each . if a customer purchased both pens and pencils from the store for a total of $ 1.60 , what total number of pens and pencils did the customer purchase ?\nAnswer: 6\n\nQuestion: in a certain egg - processing plant , every egg must be inspected , and is either accepted for processing or rejected . for every 96 eggs accepted for processing , 4 eggs are rejected . if , on a particular day , 12 additional eggs were accepted , but the overall number of eggs inspected remained the same , the ratio of those accepted to those rejected would be 99 to 1 . how many e eggs does the plant process per day ?\nAnswer: 400\n\nQuestion: a , b and c started a business with capitals of rs . 8000 , rs . 10000 and rs . 12000 respectively . at the end of the year , the profit share of b is rs . 1700 . the difference between the profit shares of a and c is ?\nAnswer: 680\n\nQuestion: a full stationary oil tank that is a right circular cylinder has a radius of 100 feet and a height of 25 feet . oil is pumped from the stationary tank to an oil truck that has a tank that is a right circular cylinder until the truck ' s tank is completely filled . if the truck ' s tank has a radius of 6 feet and a height of 10 feet , how far ( in feet ) did the oil level drop in the stationary tank ?\nAnswer:", " 0.036"], "resps": [[[-11.045950889587402, false]], [[-9.370139122009277, false]], [[-7.750082969665527, false]], [[-3.544638156890869, false]], [[-9.736152648925781, false]]], "filtered_resps": [[-11.045950889587402, false], [-9.370139122009277, false], [-7.750082969665527, false], [-3.544638156890869, false], [-9.736152648925781, false]], "acc": 0.0, "acc_norm": 1.0}
{"doc_id": 7, "doc": {"Problem": "each week a restaurant serving mexican food uses the same volume of chili paste , which comes in either 35 - ounce cans or 25 - ounce cans of chili paste . if the restaurant must order 20 more of the smaller cans than the larger cans to fulfill its weekly needs , then how manysmallercans are required to fulfill its weekly needs ?", "Rationale": "\"let x be the number of 35 ounce cans . therefore ( x + 20 ) is the number of 25 ounce cans . total volume is same , therefore 35 x = 25 ( x + 20 ) 10 x = 500 x = 50 therefore , number of 15 ounce cans = 50 + 20 = 70 ans - b\"", "options": "a ) 60 , b ) 70 , c ) 80 , d ) 100 , e ) 120", "correct": "b", "annotated_formula": "add(25, 20)", "linear_formula": "add(n1,n2)|", "category": "general"}, "target": "70", "arguments": ["Question: claire has a total of 92 pets consisting of gerbils and hamsters only . one - quarter of the gerbils are male , and one - third of the hamsters are male . if there are 25 males altogether , how many gerbils does claire have ?\nAnswer: 68\n\nQuestion: the average age of a class is 15.8 years . the average age of the boys in the class is 16.4 years and that of the girls is 15.4 years . what is the ratio of boys to girls in the class ?\nAnswer: 2 : 3\n\nQuestion: a candidate got 35 % of the votes polled and he lost to his rival by 2370 votes . how many votes were cast ?\nAnswer: 7900\n\nQuestion: working simultaneously and independently at an identical constant rate , 4 machines of a certain type can produce a total of x units of product p in 6 days . how many of these machines , working simultaneously and independently at this constant rate , can produce a total of 2 x units of product p in 3 days ?\nAnswer: 16\n\nQuestion: each week a restaurant serving mexican food uses the same volume of chili paste , which comes in either 35 - ounce cans or 25 - ounce cans of chili paste . if the restaurant must order 20 more of the smaller cans than the larger cans to fulfill its weekly needs , then how manysmallercans are required to fulfill its weekly needs ?\nAnswer:", " 60"], "resps": [[[-5.162363052368164, false]], [[-5.422571182250977, false]], [[-5.283609390258789, false]], [[-4.289575576782227, false]], [[-6.304437637329102, false]]], "filtered_resps": [[-5.162363052368164, false], [-5.422571182250977, false], [-5.283609390258789, false], [-4.289575576782227, false], [-6.304437637329102, false]], "acc": 0.0, "acc_norm": 0.0}
{"doc_id": 8, "doc": {"Problem": "if n is an integer and 101 n ^ 2 is less than or equal to 10000 , what is the greatest possible value of n ?", "Rationale": "\"101 * n ^ 2 < = 10000 n ^ 2 < = 10000 / 101 which will be less than 100 since 10000 / 100 = 100 which is the square of 9 next closest value of n where n ^ 2 < = 100 is 9 ans c\"", "options": "a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11", "correct": "c", "annotated_formula": "floor(sqrt(divide(10000, 101)))", "linear_formula": "divide(n2,n0)|sqrt(#0)|floor(#1)|", "category": "general"}, "target": "9", "arguments": ["Question: out of 410 students of a school , 325 play football , 175 play cricket and 50 neither play football nor cricket . how many students play both football and cricket ?\nAnswer: 140\n\nQuestion: 12 is what % of 80 ?\nAnswer: 15\n\nQuestion: a number when divided by a divisor leaves a remainder of 27 . when twice the original number is divided by the same divisor , the remainder is 11 . what is the value of the divisor ?\nAnswer: 40\n\nQuestion: if the population of a certain country increases at the rate of one person every 15 seconds , by how many persons does the population increase in 60 minutes ?\nAnswer: 240\n\nQuestion: if n is an integer and 101 n ^ 2 is less than or equal to 10000 , what is the greatest possible value of n ?\nAnswer:", " 7"], "resps": [[[-4.0766143798828125, false]], [[-3.978180170059204, false]], [[-3.9305574893951416, false]], [[-3.0353853702545166, false]], [[-4.7505340576171875, false]]], "filtered_resps": [[-4.0766143798828125, false], [-3.978180170059204, false], [-3.9305574893951416, false], [-3.0353853702545166, false], [-4.7505340576171875, false]], "acc": 0.0, "acc_norm": 0.0}
{"doc_id": 9, "doc": {"Problem": "a constructor estimates that 10 people can paint mr khans house in 4 days . if he uses 5 people instead of 10 , how long will they take to complete the job ?", "Rationale": "\"explanation : use formula for a work members ã — days = constant 10 ã — 4 = 5 ã — a a = 8 so answer is 8 days answer : d\"", "options": "a ) 10 , b ) 4 , c ) 5 , d ) 8 , e ) 6", "correct": "d", "annotated_formula": "divide(const_1, multiply(divide(const_1, multiply(const_4.0, 10)), 4))", "linear_formula": "multiply(n0,n1)|divide(const_1,#0)|multiply(n2,#1)|divide(const_1,#2)|", "category": "physics"}, "target": "8", "arguments": ["Question: the average ( arithmetic mean ) of 16 students first quiz scores in a difficult english class is 62.5 . when one student dropped the class , the average of the remaining scores increased to 62.0 . what is the quiz score of the student who dropped the class ?\nAnswer: e ) 70\n\nQuestion: 1,5 , 13,25 , __\nAnswer: 41\n\nQuestion: a man sold 20 articles for $ 60 and gained 20 % . how many articles should he sell for $ 60 to incur a loss 20 % ?\nAnswer: 30\n\nQuestion: what is the greatest value of x such that 4 ^ x is a factor of 21 ! ?\nAnswer: 6\n\nQuestion: a constructor estimates that 10 people can paint mr khans house in 4 days . if he uses 5 people instead of 10 , how long will they take to complete the job ?\nAnswer:", " 10"], "resps": [[[-2.838005542755127, false]], [[-2.9682393074035645, false]], [[-2.762840747833252, false]], [[-3.325218677520752, false]], [[-2.895805835723877, false]]], "filtered_resps": [[-2.838005542755127, false], [-2.9682393074035645, false], [-2.762840747833252, false], [-3.325218677520752, false], [-2.895805835723877, false]], "acc": 0.0, "acc_norm": 0.0}
{"doc_id": 10, "doc": {"Problem": "the population of a town is 8000 . it decreases annually at the rate of 20 % p . a . what will be its population after 3 years ?", "Rationale": "\"formula : ( after = 100 denominator ago = 100 numerator ) 8000 ã — 80 / 100 ã — 80 / 100 x 80 / 100 = 4096 answer : b\"", "options": "a ) 5100 , b ) 4096 , c ) 5200 , d ) 5400 , e ) 5500", "correct": "b", "annotated_formula": "subtract(subtract(8000, multiply(8000, divide(20, const_100))), multiply(subtract(8000, multiply(8000, divide(20, const_100))), divide(20, const_100)))", "linear_formula": "divide(n1,const_100)|multiply(n0,#0)|subtract(n0,#1)|multiply(#0,#2)|subtract(#2,#3)|", "category": "gain"}, "target": "4096", "arguments": ["Question: if greg buys 5 shirts , 4 trousers and 2 ties , the total cost is $ 80 . if greg buys 7 shirts , 4 trousers and 2 ties , the total cost is $ 70 . how much will it cost him to buy 2 trousers , 3 shirts and 1 ties ?\nAnswer: $ 37.5\n\nQuestion: at the end of year x , automobile installment credit accounted for 36 % of all outstanding consumer installment credit . at that time automobile finance companies extended $ 35 billion of credit , or 1 / 3 of the automobile installment credit . how many billion dollars of consumer installment credit was outstanding at that time ?\nAnswer: 291.67\n\nQuestion: a $ 500 investment and a $ 1,500 investment have a combined yearly return of 13 percent of the total of the two investments . if the $ 500 investment has a yearly return of 7 percent , what percent yearly return does the $ 1,500 investment have ?\nAnswer: 15 %\n\nQuestion: one - seventh of the light switches produced by a certain factory are defective . 4 - fifths of the defective switches are rejected and 1 / 15 of the non defective switches are rejected by mistake . if all the switches not rejected are sold , what percent of the switches sold by the factory are defective ?\nAnswer: 3.4 %\n\nQuestion: the population of a town is 8000 . it decreases annually at the rate of 20 % p . a . what will be its population after 3 years ?\nAnswer:", " 5100"], "resps": [[[-9.836970329284668, false]], [[-9.663614273071289, false]], [[-9.417353630065918, false]], [[-10.409930229187012, false]], [[-9.057307243347168, false]]], "filtered_resps": [[-9.836970329284668, false], [-9.663614273071289, false], [-9.417353630065918, false], [-10.409930229187012, false], [-9.057307243347168, false]], "acc": 0.0, "acc_norm": 0.0}
{"doc_id": 11, "doc": {"Problem": "the percentage profit earned by selling an article for rs . 1920 is equal to the percentage loss incurred by selling the same article for rs . 1280 . at what price should the article be sold to make 40 % profit ?", "Rationale": "\"let c . p . be rs . x . then , ( 1920 - x ) / x * 100 = ( x - 1280 ) / x * 100 1920 - x = x - 1280 2 x = 3200 = > x = 1600 required s . p . = 140 % of rs . 1600 = 140 / 100 * 1600 = rs . 2240 . answer : e\"", "options": "a ) 2000 , b ) 2778 , c ) 2299 , d ) 2778 , e ) 2240", "correct": "e", "annotated_formula": "multiply(divide(add(const_100, 40), const_100), divide(add(1920, 1280), const_2))", "linear_formula": "add(n2,const_100)|add(n0,n1)|divide(#0,const_100)|divide(#1,const_2)|multiply(#2,#3)|", "category": "gain"}, "target": "2240", "arguments": ["Question: 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 ?\nAnswer: 2.5 cm\n\nQuestion: find large number from below question the difference of two numbers is 1365 . on dividing the larger number by the smaller , we get 8 as quotient and the 15 as remainder\nAnswer: 1557.9\n\nQuestion: a group of boy scouts and girls scouts is going on a rafting trip . 45 % of the scouts arrived with signed permission slips . if 60 % of the scouts were boy scouts and 25 % of the boy scouts arrived with signed permission slips , then what percentage of the scouts were girl scouts who arrived with signed permission slips ?\nAnswer: 30\n\nQuestion: when a person aged 39 is added to a group of n people , the average age increases by 2 . when a person aged 15 is added instead , the average age decreases by 1 . what is the value of e ?\nAnswer: 7\n\nQuestion: the percentage profit earned by selling an article for rs . 1920 is equal to the percentage loss incurred by selling the same article for rs . 1280 . at what price should the article be sold to make 40 % profit ?\nAnswer:", " 2000"], "resps": [[[-5.748497009277344, false]], [[-12.249731063842773, false]], [[-15.916696548461914, false]], [[-12.249731063842773, false]], [[-10.228025436401367, false]]], "filtered_resps": [[-5.748497009277344, false], [-12.249731063842773, false], [-15.916696548461914, false], [-12.249731063842773, false], [-10.228025436401367, false]], "acc": 0.0, "acc_norm": 0.0}
{"doc_id": 12, "doc": {"Problem": "running at the same constant rate , 6 identical machines can produce a total of 360 bottles per minute . at this rate , how many bottles could 10 such machines produce in 4 minutes ?", "Rationale": "\"let the required number of bottles be x . more machines , more bottles ( direct proportion ) more minutes , more bottles ( direct proportion ) machines 6 : 10 : : 360 : x time ( in minutes ) 1 : 4 6 x 1 x x = 10 x 4 x 360 x = ( 10 x 4 x 360 ) / ( 6 ) x = 2400 . answer : c\"", "options": "a ) 648 , b ) 1800 , c ) 2400 , d ) 10800 , e ) 10900", "correct": "c", "annotated_formula": "multiply(multiply(divide(360, 6), 4), 10)", "linear_formula": "divide(n1,n0)|multiply(n3,#0)|multiply(n2,#1)|", "category": "gain"}, "target": "2400", "arguments": ["Question: a mixture contains alcohol and water in the ratio 4 : 3 . if 5 liters of water is added to the mixture , the ratio becomes 4 : 5 . find the quantity of alcohol in the given mixture .\nAnswer: 10\n\nQuestion: a bag contains 5 red , 4 blue and 3 green balls . if 2 ballsare picked at random , what is the probability that both are red ?\nAnswer: 5 / 33\n\nQuestion: the population of a town is 10000 . it increases annually at the rate of 20 % p . a . what will be its population after 1 year ?\nAnswer: 12000\n\nQuestion: if 1.5 x = 0.04 y then the value of ( y - x ) / ( y + x ) is\nAnswer: 73 / 77\n\nQuestion: running at the same constant rate , 6 identical machines can produce a total of 360 bottles per minute . at this rate , how many bottles could 10 such machines produce in 4 minutes ?\nAnswer:", " 648"], "resps": [[[-10.437644004821777, false]], [[-8.180549621582031, false]], [[-7.8147501945495605, false]], [[-10.662771224975586, false]], [[-11.975011825561523, false]]], "filtered_resps": [[-10.437644004821777, false], [-8.180549621582031, false], [-7.8147501945495605, false], [-10.662771224975586, false], [-11.975011825561523, false]], "acc": 1.0, "acc_norm": 1.0}
{"doc_id": 13, "doc": {"Problem": "there are 1000 buildings in a street . a sign - maker is contracted to number the houses from 1 to 1000 . how many zeroes will he need ?", "Rationale": "divide as ( 1 - 100 ) ( 100 - 200 ) . . . . ( 900 - 1000 ) total 192 answer : c", "options": "a ) 190 , b ) 191 , c ) 192 , d ) 193 , e ) 194", "correct": "c", "annotated_formula": "add(add(divide(1000, const_10), multiply(subtract(const_10, 1), const_10)), const_2)", "linear_formula": "divide(n0,const_10)|subtract(const_10,n1)|multiply(#1,const_10)|add(#0,#2)|add(#3,const_2)", "category": "general"}, "target": "192", "arguments": ["Question: excluding the stoppages , the speed of a bus is 32 km / hr and including the stoppages the speed of the bus is 16 km / hr . for how many minutes does the bus stop per hour ?\nAnswer: 30 min\n\nQuestion: two trains travel in opposite directions at 36 kmph and 45 kmph and a man sitting in slower train passes the faster train in 4 seconds . the length of the faster train is\nAnswer: 90 m\n\nQuestion: if the sides of a triangle are 91 cm , 84 cm and 35 cm , what is its area ?\nAnswer: 1470 cm 2\n\nQuestion: the profit earned by selling an article for rs . 832 is equal to the loss incurred when the same article is sold for rs . 448 . what should be the sale price for making 40 % profit ?\nAnswer: 896\n\nQuestion: there are 1000 buildings in a street . a sign - maker is contracted to number the houses from 1 to 1000 . how many zeroes will he need ?\nAnswer:", " 190"], "resps": [[[-8.255971908569336, false]], [[-9.087362289428711, false]], [[-8.321828842163086, false]], [[-9.539297103881836, false]], [[-9.773458480834961, false]]], "filtered_resps": [[-8.255971908569336, false], [-9.087362289428711, false], [-8.321828842163086, false], [-9.539297103881836, false], [-9.773458480834961, false]], "acc": 0.0, "acc_norm": 0.0}
{"doc_id": 14, "doc": {"Problem": "a man bought 20 shares of rs . 50 at 5 discount , the rate of dividend being 13 . the rate of interest obtained is :", "Rationale": "\"investment = rs . [ 20 x ( 50 - 5 ) ] = rs . 900 . face value = rs . ( 50 x 20 ) = rs . 1000 . dividend = rs . 27 x 1000 = rs . 135 . 2 100 interest obtained = 135 x 100 % = 15 % 900 view answer discuss in forum answer : c\"", "options": "a ) 27 % , b ) 87 % , c ) 15 % , d ) 66 % , e ) 88 %", "correct": "c", "annotated_formula": "divide(multiply(multiply(20, 50), divide(13, const_100)), multiply(20, subtract(50, 5)))", "linear_formula": "divide(n3,const_100)|multiply(n0,n1)|subtract(n1,n2)|multiply(#0,#1)|multiply(n0,#2)|divide(#3,#4)|", "category": "gain"}, "target": "15 %", "arguments": ["Question: a 6 - liter solution is 25 % alcohol . how many liters of pure alcohol must be added to produce a solution that is 50 % alcohol ?\nAnswer: 3.0\n\nQuestion: if a rectangular room measures 10 meters by 5 meters by 4 meters , what is the volume of the room in cubic centimeters ? ( 1 meter = 100 centimeters )\nAnswer: 200\n\nQuestion: the shopkeeper increased the price of a product by 25 % so that customer finds it difficult to purchase the required amount . but somehow the customer managed to purchase only 68 % of the required amount . what is the net difference in the expenditure on that product ?\nAnswer: 15 %\n\nQuestion: a person can swim in still water at 4 km / h . if the speed of water 2 km / h , how many hours will the man take to swim back against the current for 14 km ?\nAnswer: 7\n\nQuestion: a man bought 20 shares of rs . 50 at 5 discount , the rate of dividend being 13 . the rate of interest obtained is :\nAnswer:", " 27 %"], "resps": [[[-9.225954055786133, false]], [[-11.084755897521973, false]], [[-5.061804294586182, false]], [[-10.36075210571289, false]], [[-10.414409637451172, false]]], "filtered_resps": [[-9.225954055786133, false], [-11.084755897521973, false], [-5.061804294586182, false], [-10.36075210571289, false], [-10.414409637451172, false]], "acc": 1.0, "acc_norm": 1.0}
{"doc_id": 15, "doc": {"Problem": "? % of 360 = 108", "Rationale": "\"? % of 360 = 108 or , ? = 108 × 100 / 360 = 30 answer a\"", "options": "a ) 30 , b ) 36 , c ) 64 , d ) 72 , e ) none of these", "correct": "a", "annotated_formula": "divide(multiply(108, const_100), 360)", "linear_formula": "multiply(n1,const_100)|divide(#0,n0)|", "category": "gain"}, "target": "30", "arguments": ["Question: a circular garden is surrounded by a fence of negligible width along the boundary . if the length of the fence is 1 / 5 of th area of the garden . what is the radius of the circular garden ?\nAnswer: 10\n\nQuestion: calculate 469111 x 9999 = ?\nAnswer: 4690640889\n\nQuestion: machine – a produces 40 % of the total output and machine - b produces 60 % of the total output . an average of 9 units out of a 1000 goods manufactured by machine - a and one unit of 50 units produced by machine - b prove to be defective . what is the probability that a unit chosen at random from the total daily output of the factory is defective ?\nAnswer: c . 0.0156\n\nQuestion: sides of a rectangular park are in the ratio 3 : 2 and its area is 5766 sq m , the cost of fencing it at 50 ps per meter is ?\nAnswer: 155\n\nQuestion: ? % of 360 = 108\nAnswer:", " 30"], "resps": [[[-5.9170942306518555, false]], [[-3.830981492996216, false]], [[-7.3772077560424805, false]], [[-6.005724906921387, false]], [[-13.513760566711426, false]]], "filtered_resps": [[-5.9170942306518555, false], [-3.830981492996216, false], [-7.3772077560424805, false], [-6.005724906921387, false], [-13.513760566711426, false]], "acc": 0.0, "acc_norm": 0.0}