niryuu/sni-each-converted huggingface dataset:
Problem: if the area of a circle decreases by 66 % , then the radius of a circle decreases by
Output: none of thes
Problem: two cards are drawn together from a pack of 52 cards the probability that one is the spade and one is a heart is ?
Output: 13 / 102
Problem: on thursday mabel handled 90 transactions . anthony handled 10 % more transactions than mabel , cal handled 2 / 3 rds of the transactions that anthony handled , and jade handled 15 more transactions than cal . how much transactions did jade handled ?
Output: 81
Problem: peter invests a sum of money and gets back an amount of $ 815 in 3 years . david invests an equal amount of money and gets an amount of $ 850 in 4 years . if both amounts were invested at the same rate ( simple interest ) what was the sum of money invested ?
Output: 71
Problem: a cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.2 m and its walls are 5 cm thick . the thickness of the bottom is :
Output: 2 dm
Problem: the sector of a circle has perimeter 83 cm and central angle 225 o . find its radius ?
Output: 14 cm
Problem: a transport company ’ s 120 buses running 20 hrs a day consume 360 of fuel in a day . in the next 3 days , the company will invest in 30 more green buses that use 30 % less fuel . how many lts of fuel will be consumed in a 5 day week after the new buses are added to the fleet ?
Output: 3,31
Problem: at a restaurant , glasses are stored in two different - sized boxes . one box contains 12 glasses , and the other contains 16 glasses . if the average number of glasses per box is 15 , and there are 16 more of the larger boxes , what is the total number of glasses at the restaurant ? ( assume that all boxes are filled to capacity . )
Output: 48
Problem: in a certain alphabet , 9 letters contain a dot and a straight line . 24 letters contain a straight line but do not contain a dot . if that alphabet has 40 letters , all of which contain either a dot or a straight line or both , how many letters contain a dot but do not contain a straight line ?
Output: 7
Problem: if a train , travelling at a speed of 90 kmph , crosses a pole in 4 sec , then the length of train is ?
Output: 100
Problem: john ' s bank ' s saving amount is decreased 20 % due to loan payment and current balance is rs . 24000 . find the actual balance before deduction ?
Output: 3000
Problem: 987.650 - ? + 56.98 = 126.654
Output: 917.97
Problem: two employees x and y are paid a total of rs . 700 per week by their employer . if x is paid 120 percent of the sum paid to y , how much is y paid per week ?
Output: s . 318.1
Problem: james took a 3 - hour bike ride . in the second hour he travlled 12 miles , which was 20 percent farther than he traveled the first hour . if he traveled 25 percent farther in the third hour than he did in the second hour , how many miles did jose travel during the entire ride ?
Output: 37.0
Problem: in a group of 100 cars , 47 cars do not have air conditioning . if at least 53 cars have racing stripes , what is the greatest number of cars that could have air conditioning but not racing stripes ?
Output: 47
Problem: how many bricks each measuring 22 cm x 10.25 cm x 8 cm , will be needed to build a wall 9 m x 7 m x 10.5 m
Output: 3066
Problem: 60 percent of movie theatres in town x have 3 screens or less . 20 % of those theatres sell an average of more than $ 300 worth of popcorn per showing . 56 percent of all the movie theatres in town x sell $ 300 or less of popcorn per showing . what percent of all the stores on the street have 4 or more screens and sell an average of more than $ 300 worth of popcorn per day ?
Output: 32
Problem: the radius of a wheel is 22.4 cm . what is the distance covered by the wheel in making 600 resolutions ?
Output: 844.8 m
Problem: mr . depak has $ 449774 in his bank account . what is the least amount of money ( in whole number of dollars ) that he must add to his account if he wants to split this money evenly among her 6 best friends ? options :
Output: $ 1
Problem: the ages of two person differ by 12 years . if 5 years ago , the elder one be 5 times as old as the younger one , their present ages ( in years ) are respectively
Output: 20
Problem: a cab driver 5 days income was $ 300 , $ 150 , $ 750 , $ 200 , $ 600 . then his average income is ?
Output: $ 400
Problem: 3 men and 8 women complete a task in same time as 6 men and 2 women do . how much fraction of work will be finished in same time if 4 men and 2 women will do that task .
Output: 5 / 7
Problem: a trained covered x km at 90 kmph and another 2 x km at 20 kmph . find the average speed of the train in covering the entire 3 x km .
Output: 27
Problem: sachin is younger than rahul by 4 years . if the ratio of their ages is 7 : 9 , find the age of sachin
Output: 1
Problem: a triangle and a parallelogram are constructed on the same base such that their areas are equal . if the altitude of the parallelogram is 100 m , then the altitude of the triangle is .
Output: 200 m', 'e ) none'
Problem: a man buys an item at rs . 1200 and sells it at the loss of 20 percent . then what is the selling price of that item
Output: rs . 960
Problem: a sum of money is distributed among w , x , y , z in the proportion of 4 : 2 : 5 : 3 . if y gets $ 500 more than z , what is the x ' s share ?
Output: $ 500
Problem: a man rows his boat 110 km downstream and 90 km upstream , taking 3 hours each time . find the speed of the stream ?
Output: 3.5
Problem: five women can do a work in ten days . 7 men can complete the same work in 5 days . what is the ratio between the capacity of a man and a woman ?
Output: 10 : 7
Problem: a theater charges $ 12 for seats in the orchestra and $ 8 for seats in the balcony . on a certain night , a total of 340 tickets were sold for a total cost of $ 3,320 . how many more tickets were sold that night for seats in the balcony than for seats in the orchestra ?
Output: 40
Problem: right triangle abc is to be drawn in the xy - plane so that the right angle is at a and ab is parallel to the y - axis . if the x - and y - coordinates of a , b , and c are to be integers that are consistent with the inequalities - 8 ≤ x ≤ 2 and 4 ≤ y ≤ 9 , then how many different triangles can be drawn that will meet these conditions ?
Output: 4032
Problem: there are 8 stores in town that had a total of 22 visitors on a particular day . however , only 12 people went shopping that day ; some people visited more than one store . if 8 people visited exactly two stores each , and everyone visited at least one store , what is the largest number of stores anyone could have visited ?
Output: 3
Problem: a set s = { x , - 8 , - 5 , - 1 , 1 , 6 , 9 , y } with elements arranged in increasing order . if the median and the mean of the set are the same , what is the value of | x | - | y | ?
Problem: it takes avery 3 hours to build a brick wall while tom can do it in 3 hours . if the two start working together and after an hour avery leaves , how much time will it take tom to complete the wall on his own ?
Output: 60
Problem: a student got 70 % in one subject , 80 % in other . to get overall 75 % how much he should get in third subject .
Output: 75 %
Problem: 4 men and 3 women are lined up in a row . what is the number of cases where they stand with each other in turn ? ( the number of cases in which men ( or women ) do not stand next to each other )
Output: 144
Problem: in a class , 10 students like to play basketball and 8 like to play cricket . 4 students like to play on both basketball and cricket . how many students like to play basketball or cricket or both ?
Output: 1
Problem: a box contains 9 apples , 8 of which are red . an apple is drawn from the box and its color is noted before it is eaten . this is done a total of n times , and the probability that a red apple is drawn each time is less than 0.5 . what is the smallest possible value of n ?
Output: 5
Problem: what is the units digit of ( 5 ! * 4 ! - 3 ! * 5 ! ) / 120
Output: 8
Problem: the area of circle o is added to its diameter . if the circumference of circle o is then subtracted from this total , the result is 4 . what is the area of circle o ?
Output: 4 π'
Problem: ( 3080 + 6160 ) / 28
Output: 330
Problem: the length of the bridge , which a train 130 metres long and travelling at 45 km / hr can cross in 30 seconds , is
Output: 245 m
Problem: the sum of the even numbers between 1 and n is 89 * 90 , where n is an odd number , then n = ?
Output: 179
Problem: a train 360 m long is running at a speed of 45 km / hr . in what time will be pass a bridge 140 m long ?
Output: 40 sec
Problem: a person distributed 10 % of his income to his 2 children each . he deposited 20 % of his income to his wife ' s account . he donated 10 % of remaining amount to an orphan house . finally he has $ 500 . find his total income ?
Output: $ 1000
Problem: if q is a positive integer and q ^ 2 is divisible by 12 , then the largest positive integer that must divide q ^ 3 is
Output: 6 ^ 3
Problem: the average weight of 8 persons increases by 5 kg when a new person comes in place of one of them weighing 65 kg . what might be the weight of the new person ?
Output: 105 k
Problem: two cubes of their volumes in the ratio 64 : 343 . the ratio of their surface area is :
Output: 4 :
Problem: if 2 ^ 2 n + 2 ^ 2 n + 2 ^ 2 n + 2 ^ 2 n = 4 ^ 28 , then n =
Output: 27
Problem: a welder received an order to make a 1 million liter cube - shaped tank . if he has only 4 x 2 meter sheets of metal that can be cut , how many metal sheets will be required for this order y ? ( 1 cubic meter = 1000 liters )
Output: 7
Problem: if a / b = 4 / 3 , then ( 3 a + 2 b ) / ( 3 a - 2 b ) = ?
Output: 3
Problem: two numbers are in the ratio 3 : 4 . if their l . c . m . is 60 . what is sum of the numbers ?
Output: 35
Problem: a train traveled the first d miles of its journey it an average speed of 40 miles per hour , the next d miles of its journey at an average speed of y miles per hour , and the final d miles of its journey at an average speed of 160 miles per hour . if the train ’ s average speed over the total distance was 96 miles per hour , what is the value of y ?
Output: 100
Problem: a man spend 1 / 5 of his salary on food , 1 / 10 of his salary on house rent and 3 / 5 salary on clothes . he still has $ 15000 left with him . find salary . .
Output: $ 150000
Problem: 17200 x 223 + 17200 x 77 = ?
Output: 5160000
Problem: how many cuboids of length 5 m , width 3 m and height 2 m can be farmed from a cuboid of 12 m length , 14 m width and 10 m height .
Output: 56
Problem: what is the lowest positive integer that is divisible by each of the integers 1 through 12 inclusive ?
Output: 27,72
Problem: the length of the bridge , which a train 160 m long and traveling at 45 km / hr can cross in 30 sec is ?
Output: 215
Problem: car dealership x , the total profit from sales increased by 30 percent over the previous years , while the number of cars sold decreased by 30 percent over the previous years . approximately what was the average percent increase in profit per car over the previous year .
Output: 85.71
Problem: arun and tarun can do a work in 10 days . after 4 days tarun went to his village . how many days are required to complete the remaining work by arun alone . arun can do the work alone in 30 days .
Output: 18 days .
Problem: 10 men and 15 women together can complete a work in 8 days . it takes 100 days for one man alone to complete the same work . how many days will be required for one woman alone to complete the same work ?
Output: 600 day
Problem: if m = 3 ^ n , what is the greatest value of n for which m is a factor of 28 !
Output: 13
Problem: a train which has 390 m long , is running 45 kmph . in what time will it cross a person moving at 9 kmph in same direction ?
Output: 39 sec
Problem: if the simple interest on a sum of money for 2 years at 5 % per annum is rs . 50 , what is the compound interest on the same sum at the rate and for the same time ?
Output: rs . 51.25
Problem: the price of a bushel of corn is currently $ 3.20 , and the price of a peck of wheat is $ 6.80 . the price of corn is increasing at a constant rate of 5 x cents per day while the price of wheat is decreasing at a constant rate of x ( 2 ^ 1 / 2 ) - x cents per day . what is the approximate price when a bushel of corn costs the same amount as a peck of wheat ?
Output: $ 6.5
Problem: a person borrows 9000 for 9 years at 3 % p . a . simple interest . he immediately lends it to another person at 7 % p . a . for 9 years . find his gain in the transaction per year .
Output: 360
Problem: 2001 + 1015
Output: 3016
Problem: a shopkeeper has 280 kg of apples . he sells 40 % of these at 30 % profit and remaining 60 % at 30 % profit . find his % profit on total .
Output: 30
Problem: the speed of a boat in still water in 42 km / hr and the rate of current is 4 km / hr . the distance travelled downstream in 44 minutes is :
Output: 33.7 km
Problem: the average expenditure of a labourer for 5 months was 85 and he fell into debt . in the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30 . his monthly income is
Output: 69.5
Problem: a rectangular field has a length 10 meters more than it is width . if the area of the field is 119 , what is the length ( in meters ) of the rectangular field ?
Output: 17
Problem: in country z , 12 % of the people do not have a university diploma but have the job of their choice , and 25 % of the people who do not have the job of their choice have a university diploma . if 40 % of the people have the job of their choice , what percent of the people have a university diploma ?
Output: 43 %
Problem: in a village of 2,500 people , 800 people are over 70 years old and 850 people are female . it is known that 40 percent of the females are younger than 70 years old . if no one in the village is 70 years old , what is the probability that a person chosen at random is either a male or younger than 70 years old ?
Output: 199 / 250
Problem: two pipes a and b can separately fill a tank in 12 and 15 minutes respectively . a third pipe c can drain off 56 liters of water per minute . if all the pipes are opened , the tank can be filled in 15 minutes . what is the capacity of the tank ?
Output: 672
Problem: country c imposes a two - tiered tax on imported cars : the first tier imposes a tax of 12 % of the car ' s price up to a certain price level . if the car ' s price is higher than the first tier ' s level , the tax on the portion of the price that exceeds this value is 8 % . if ron imported a $ 14,000 imported car and ended up paying $ 1640 in taxes , what is the first tier ' s price level ?
Output: $ 1300
Problem: in 10 years , a will be twice as old as b was 10 years ago . if a is now 5 years older than b the present age of b is
Output: 35
Problem: a multiple choice test consists of 4 questions , and each question has 5 answer choices . in how many ways can the test be completed if every question is unanswered ?
Output: 625
Problem: 1257 1275 1527 . . . . . . . . . . . . . . . . + 7521 the addition problem above shows 4 of the 24 different integers that can be formed by using each of the digits 1 , 25 and 7 exactly once in each integer . what is the sum t of the 24 integers ?
Output: 9999
Problem: john invests $ x at the semi - annual constant compounded rate of 2 percent and also does $ 20,000 at the quarterly constant compounded rate of 4 percent . if the interests are the same after 1 year , what is the value of x ? ?
Output: 40,402
Problem: convert the 1 / 3 m / s into kilometers per hour ?
Output: 1.2 kmph
Problem: if x , y , and z are positive integers , and 3 x = 5 y = 6 z , then the least possible value of x + y + z is
Output: 21
Problem: evaluate : 19 + sqrt ( - 2 + 12 ã — 6 ã · 9 ) = ?
Output: 55
Problem: the total number of digits used in numbering the pages of a book having 369 pages is
Output: 999
Problem: when 732 is subtracted form the square of a number , the answer that is obtained is 5280 . what is the number ?
Output: 103', 'c ) 286', 'd ) 122', 'e ) 102'
Problem: the average height of 35 boys in a class was calculated as 182 cm . it has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm . find the actual average height of the boys in the class ( round off your answer to two decimal places ?
Output: 180.29 cm
Problem: the length of a train and that of a platform are equal . if with a speed of 108 k / hr , the train crosses the platform in one minute , then the length of the train ( in meters ) is ?
Output: 900
Problem: the simple form of the ratio 7 / 6 : 2 / 5 is ?
Output: 35 : 1
Problem: ravi and sunil are partners in a business . ravi invests rs . 12,000 for 4 months and sunil invested rs . 10000 for 5 months then after one year ratio of their profits will be
Output: 24 : 25
Problem: the value of “ a ” varies in inverse proportion as the square of “ b ” . if the value of “ a ” is equal to 40 when “ b ” is equal to 12 . what would be the value of “ a ” when “ b ” is equal to 24 ?
Output: 10', 'b ) 88', 'c ) 26', 'd ) 27', 'e ) 28'
Problem: the dimensions of a room are 25 feet * 15 feet * 12 feet . what is the cost of white washing the four walls of the room at rs . 4 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each ?
Output: 3624
Problem: of the 65 cars on a car lot , 45 have power steering , 25 have power windows , and 17 have both power steering and power windows . how many of the cars on the lot have neither power steering nor power windows ?
Output: 12
Problem: if two painters can complete two rooms in two hours , how many hours 10 painters would it take to do 20 rooms ?
Output: 4
Problem: convert 0.32 in to a vulgar fraction ?
Output: 8 / 25
Problem: the l . c . m . of two numbers is 60 . the numbers are in the ratio 2 : 3 . then sum of the number is :
Output: 5
Problem: the sum of three consecutive even numbers is 63 , find the last one ?
Output: 23
Problem: a cycle is bought for rs . 900 and sold for rs . 1170 , find the gain percent ?
Output: 30 %
Problem: rs 378 is divided among the 3 children such that 12 times of anusha is equal to 8 times of babu which is equal to 6 times of esha . how much the rupee anusha get ?
Output: 84
Problem: the price of 10 chairs is equal to that of 4 tables . the price of 15 chairs and 2 tables together is rs . 4000 . the total price of 12 chairs and 3 tables is ?
Output: rs . 3900
Problem: a and b are two multiples of 14 , and q is the set of consecutive integers between a and b , inclusive . if q contains 12 multiples of 14 , how many multiples of 7 are there in q ?
Output: 23
Problem: the average age of 15 students of a class is 15 years . out of these , the average age of 6 students is 14 years and that of the other 8 students is 16 years . the age of the 15 th student is
Output: 13 years
Problem: a can do a work in 6 days . b can do the same work in 12 days . if both a & b are working together in how many days they will finish the work ?
Output: 4
Problem: in an organisation there are 1000 employees out of which 250 earn below 10 k $ and 500 earn between 10 k $ and 50 k $ . what is the total percentage of employees who earn less than 50 k $ ?
Output: 75 %
Problem: how many quarters are equal to 6 dollars ?
Output: 2
Problem: the difference between the place value and the face value of 9 in the numeral 856973 is
Output: 891
Problem: the price of 2 sarees and 4 shirts is rs . 1600 . with the same money one can buy 1 saree and 6 shirts . if one wants to buy 12 shirts , how much shall he have to pay ?
Output: 240
Problem: in a company with 48 employees , some part - time and some full - time , exactly ( 1 / 3 ) of the part - time employees and ( 1 / 4 ) of the full - time employees take the subway to work . what is the greatest possible number y of employees who take the subway to work ?
Output: 15
Problem: a garden center sells a certain grass seed in 5 - pound bags at $ 13.80 per bag , 10 - pound bags at $ 20.43 per bag , and 25 - pound bags $ 32.25 per bag . if a customer is to buy at least 65 pounds of the grass seed , but no more than 80 pounds , what is the least possible cost of the grass seed that the customer will buy ?
Output: $ 98.73
Problem: in the manufacture of a certain product , 5 percent of the units produced are defective and 4 percent of the defective units are shipped for sale . what percent of the units produced are defective units that are shipped for sale ?
Output: 0.2 %
Problem: a student appeared in the mock cat . the test paper contained 3 sections namely qa , di and va . the percentage marks in all va was equal to the average of percentage marks in all the 3 sections . coincidentally , if we reverse the digit of the percentage marks of qa we get the percentage marks of di . the percentage marks in va scored by student could be :
Output: 66
Problem: a cube of side 5 meter length is cut into small cubes of side 25 cm each . how many such small cubes can be obtained ?
Output: 8000
Problem: two trains of equal are running on parallel lines in the same direction at 45 km / hr and 36 km / hr . the faster train passes the slower train in 36 sec . the length of each train is ?
Output: 45
Problem: what is the value of ( p + q ) / ( p - q ) if p / q is 6 ?
Output: 7 / 5
Problem: a boat having a length 3 m and breadth 2 m is floating on a lake . the boat sinks by 2 cm when a man gets on it . the mass of man is
Output: 120 kg
Problem: the ratio of three numbers is 3 : 4 : 5 and the sum of their squares is 1250 . the sum of the numbers is ?
Problem: in what ratio must a grocer mix two varieties of pulses costing rs . 15 and rs . 20 per kg respectively so as to get a mixture worth rs . 16.50 kg ?
Output: 7 : 3
Problem: if the personal income tax rate is lowered from 46 % to 32 % , what is the differential savings for a tax payer having an annual income before tax to the tune of $ 36000 ?
Output: $ 5040
Problem: how many unique positive odd integers less than 100 are equal to the product of a positive multiple of 5 and an odd number ?
Output: 10
Problem: how long does a train 165 meters long running at the rate of 54 kmph take to cross a bridge 625 meters in length ?
Output: 52.
Problem: what is 2 2 / 3 - 1 1 / 4 divided by 1 / 2 - 1 / 4 ?
Output: 17 / 3
Problem: the length of a rectangle is one fourth of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 784 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 5 units ?
Output: 35 sq . units', 'b ) 45 sq . units', 'c ) 55 sq . units', 'd ) 50 sq . units', 'e ) 40 sq . units'
Problem: 33 1 / 3 % of 36 ?
Output: 12 number
Problem: an engine moves at the speed of 30 kmph without any coaches attached to it . speed of the train reduces at the rate that varies directly as the square root of the number of coaches attached . when 9 coaches are attached speed decreases to 18 kmph . what will be the speed of train when 16 coaches are attached .
Output: 14
Problem: if 20 typists can type 50 letters in 30 minutes , then how many letters will 40 typists working at the same rate complete in 1 hour ?
Output: 400
Problem: a man whose speed is 3 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: 3.
Problem: at joes steakhouse the hourly wage for a chef is 20 % greater than that of a dishwasher , and the hourly wage of a dishwasher is half as much as the hourly wage of a manager . if a managers wage is $ 10.50 per hour , how much less than a manager does a chef earn each hour ?
Output: $ 4.3
Problem: if the height of a cone is increased by 140 % then its volume is increased by ?
Output: 140', 'c ) 998', 'd ) 729', 'e ) 2879'
Problem: 1345 - ( 1002 / 20.04 ) = ?
Output: 1295
Problem: the guests at a football banquet consumed a total of 325 pounds of food . if no individual guest consumed more than 2 pounds of food , what is the minimum number of guests that could have attended the banquet ?
Output: 163
Problem: if money is invested at r percent interest , compounded annually , the amount of the investment will double in approximately 24 / r years . if pat ' s parents invested $ 6,000 in a long - term bond that pays 8 percent interest , compounded annually , what will be the approximate total amount of the investment 18 years later , when pat is ready for college ?
Output: $ 3000
Problem: how many 3 - digit numbers abc , in which a , b , and c are each digits , satisfy the equation 2 b = a + c ?
Output: 45
Problem: in cliff ’ s impressive rock collection , there are half as many igneous rocks as sedimentary rocks . of the igneous rocks , 2 / 3 are shiny and the rest are matte , while 1 / 5 of the sedimentary rocks are shiny . if there are 40 shiny igneous rocks , how many total rocks does cliff have ?
Output: 180
Problem: 3 sets of 40 , 50 and 60 students appeared for an examination and the pass percentage was 100 , 90 and 80 respectively . the pass percentage of the whole set is
Output: 88.66
Problem: a bag of potatoes weighs 60 lbs divided by half of its weight . how much does the bag of potatoes weight ?
Output: 11 lb
Problem: ake can dig a well in 16 days . paul can dig the same well in 24 days . jake , paul and hari together dig the well in 8 days . hari alone can dig the well in
Output: 48
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 the stream is
Output: 3 : 1
Problem: a can complete the job in 6 hours and b can complete the same job in 3 hours . a works for 1 hour and then b joins and both complete the job . what fraction of the job did b complete
Output: 1 / 9
Problem: list r contains 5 numbers that have an average value of 60 . if the median of the numbers in the list is equal to the mean and the largest number is equal to 20 more than two times the smallest number , what is the smallest possible value in the list ?
Output: 28
Problem: evaluate : 98612 / 22 * 11 * 70 = ?
Output: 704.4
Problem: if a - b = 6 and a 2 + b 2 = 50 , find the value of ab .
Output: a ) 7
Problem: in 5 football games thus far this season , barry has run for 98 , 107 , 85 , 89 , and 91 yards . at a minimum , how many yards m will he need to gain this sunday if he wants to keep his season average above 100 yards ?
Output: m = 131
Problem: the price of 3 pants and 6 t - shirts is rs . 750 . with the same money one can buy 1 pant and 12 t - shirts . if one wants to buy 8 t - shirts , how much shall she have to pay ?
Output: 400
Problem: a certain debt will be paid in 65 installments from january 1 to december 31 of a certain year . each of the first 20 payments is to be $ 410 ; each of the remaining payments is to be $ 65 more than each of the first 20 payments . what is the average ( arithmetic mean ) payment that will be made on the debt for the year ?
Output: 455
Problem: in 7 given numbers , the average of first 4 numbers is 4 and that of last 4 numbers is also 4 . if the average of these 7 numbers is 3 , the fourth number is ?
Output: 11
Problem: in a certain parking lot , 4 % of the cars are towed for parking illegally . however 80 % of the cars which are parked illegally are not towed . what percentage of cars in the parking lot are parked illegally ?
Output: 20 %
Problem: at the beginning of a year , the owner of a jewel shop raised the price of all the jewels in his shop by x % and lowered them by x % . the price of one jewel after this up and down cycle reduced by rs . 100 . the owner carried out the same procedure after a month . after this second up - down cycle , the price of that jewel was rs . 2304 . find the original price of that jewel ( in rs . )
Output: 2500
Problem: in goshawk - eurasian nature reserve 30 percent of the birds are hawks , and 40 percent of the non - hawks are paddyfield - warblers . if there are 25 percent as many kingfishers as paddyfield - warblers in the reserve , then what percent of the birds in the nature reserve are not hawks , paddyfield - warblers , or kingfishers ?
Output: 35 %
Problem: a bag contains 6 black and 4 white balls . one ball is drawn at random . what is the probability that the ball drawn is white ?
Output: 2 / 5
Problem: alfred buys an old scooter for $ 4700 and spends $ 600 on its repairs . if he sells the scooter for $ 5800 , his gain percent is ?
Output: 9.43 %
Problem: ( 4300531 ) - ? = 2535618
Output: 1764913
Problem: a dog is tied to a tree by a long nylon cord . if the dog runs from the due north side of the tree to the due south side of the tree with the cord extended to its full length at all items , and the dog ran approximately 30 feet , what was the approximate length of the nylon cord , in feet ?
Output: 10
Problem: the sum of two numbers is 66 . how much should be added to the sum for it to be exactly divisible by 9 leaving 0 as the reminder ?
Output: 6
Problem: what is next no . 11 23 47 83 131 191 263 347 443 551 ? ? ?
Output: 67
Problem: zinc and copper are melted together in the ratio 9 : 11 . what is the weight of melted mixture , if 31.5 kg of zinc has been consumed in it ?
Output: 70 kg
Problem: a man is 20 years older than his son . in two years , his age will be twice the age of his son . the present age of his son is
Output: 18
Problem: a person buys an article at rs . 400 . at what price should he sell the article so as to make a profit of 40 % ?
Output: 560
Problem: an order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth . what be the cost of a carpet whose length and breadth are 40 % more and 25 % more respectively than the first carpet . given that the ratio of carpet is rs . 45 per sq m ?
Output: rs . 4082.40
Problem: jack , jill , and sandy each have one try to make a basket from half court . if their individual probabilities of making the basket are 1 / 6 , 1 / 7 , and 1 / 8 respectively , what is the probability that jill and sandy will make a basket but jack will miss ?
Output: 5 / 336
Problem: a man sitting in a train which is travelling at 100 kmph observes that a goods train , travelling in opposite direction , takes 9 seconds to pass him . if the goods train is 280 m long , find its speed ?
Output: 12 kmph .
Problem: a 11 % stock yields 8 % . the market value of the stock is :
Output: rs . 137.50
Problem: the ratio of the present age of viju to that of aju is 7 : 2 . 4 years from now , the ratio of the ages of viju to aju will be 5 : 2 . what was viju age 5 years ago ? ( rbi assistant 2015 )
Output: 16
Problem: yesterday it took robert 3 hours to drive from city a to city b . today it took robert 2.5 hours to drive back from city в to city a along the same route . if he had saved 30 minutes in both trips , the speed for the round trip would be 80 miles per hour . what is the distance between city a and city b ?
Output: 180
Problem: if abc = ab ^ 3 = 180 where a , b and c are positive integers , what is the value of ` c ’ ?
Output: 1
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 95 % water by weight . what is the new weight of the cucumbers , in pounds ?
Output: 20
Problem: a customer went to a shop and paid a total of $ 40 , out of which $ 1.28 was for sales tax on taxable purchases . if the tax rate was 8 % , then what was the cost of the tax free items ?
Output: $ 22.72
Problem: what is the sum of all remainders obtained when the first 100 natural numbers are divided by 8 ?
Output: 401
Problem: the average of first 12 even numbers is ?
Output: 13
Problem: if all 6 are replaced by 9 , the algebric sum of all numbers from 1 to 100 ( both inclusive ) varies by ,
Output: 330
Problem: how many seconds will a 1000 meter 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: 300
Problem: if n = 2.0563 and n * is the decimal obtained by rounding n to the nearest hundredth , what is the value of n * – n ?
Output: 0.0037
Problem: in a company with 48 employees , some part - time and some full - time , exactly ( 1 / 3 ) of the part - time employees and ( 1 / 4 ) of the full - time employees take the subway to work . what is the greatest possible number h of employees who take the subway to work ?
Output: 15
Problem: a family pays $ 700 per year for an insurance plan that pays 70 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 how much ?
Output: $ 1,300
Problem: a batsman in his 12 th innings makes a score of 60 and thereby increases his average by 2 runs . what is his average after the 12 th innings if he had never been ‘ not out ’ ?
Output: 38
Problem: john can complete a given task in 18 days . jane will take only 12 days to complete the same task . john and jane set out to complete the task by beginning to work together . however , jane was indisposed 6 days before the work got over . in how many days did the work get over from the time john and jane started to work on it together ?
Output: 54 / 5
Problem: a man walks at a rate of 10 mph . after every ten miles , he rests for 7 minutes . how much time does he take to walk 50 miles ?
Output: 328
Problem: by selling an article for $ 225 a person gains $ 75 . what is the gain % ?
Output: 50 %
Problem: a mixture of 150 liters of wine and water contains 15 % water . how much more water should be added so that water becomes 25 % of the new mixture ?
Output: 20
Problem: it is only in the second option we find the sentence a in continuation with the opening sentence d . sentence a alone explains , why the fear has such enormous effect on the human beings .
Output: 99
Problem: on a sum of money , the simple interest for 2 years is rs . 327 , while the compound interest is rs . 340 , the rate of interest being the same in both the cases . the rate of interest is
Output: 7.95 %
Problem: my grandson is about as many days as my son in weeks , and my grandson is as many months as i am in years . my grandson , my son and i together are 120 years . can you tell me my age in years ?
Output: 72
Problem: the simple form of the ratio 4 / 3 : 2 / 5 is ?
Output: 10 : 3
Problem: a fruit - salad mixture consists of apples , peaches , and grapes in the ratio 6 : 5 : 4 , respectively , by weight . if 60 pounds of the mixture is prepared , the mixture includes how many more pounds of apples than grapes ?
Output: 8
Problem: the ratio between speed of the two trains is 7 : 8 . if the 2 nd train runs 400 km in 4 hrs , what is the speed of the 1 st train ?
Output: 87.5
Problem: the circulation for magazine p in 1961 was 4 times the average ( arithmetic mean ) yearly circulation for magazine p for the years 1962 - 1970 . what is the ratio of the circulation in 1961 to the total circulation during 1961 - 1970 for magazine p ?
Output: 2 / 7
Problem: in how many years rs 100 will produce the same interest at 5 % as rs . 200 produce in 2 years at 10 %
Output: 8
Problem: the profit obtained by selling an article for rs . 54 is the same as the loss obtained by selling it for rs . 40 . what is the cost price of the article ?
Output: rs . 4
Problem: mary , peter , and lucy were picking chestnuts . mary picked twice as much chestnuts than peter . lucy picked 2 kg more than peter . together the 3 of them picked 26 kg of chestnuts . how many kilograms did mary pick ?
Output: 12
Problem: a train traveling at 72 kmph crosses a platform in 35 seconds and a man standing on the platform in 18 seconds . what is the length of the platform in meters ?
Output: 340 meters
Problem: how many integers between 1 and 10 ^ 16 are such that the sum of their digits is 2 ?
Output: 136
Problem: a train of 30 carriages , each of 60 meters length , when an engine also of 60 meters length is running at a speed of 60 kmph . in what time will the train cross a bridge 1.5 km long ?
Output: 3.3
Problem: in the manufacture of a certain product , 8 percent of the units produced are defective and 5 percent of the defective units are shipped for sale . what percent of the units produced are defective units that are shipped for sale ?
Output: 0.4 %
Problem: a number when divided by 779 gives a remainder 47 . by dividing the same number by 19 , what would be the remainder ?
Output: 9
Problem: a and b start a business , with a investing the total capital of rs . 10000 , 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 . 1000 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 ?
Output: b ) 37000
Problem: a train covers a distance of 100 km in 1 hour . if its speed is decreased by 15 km / hr , the time taken by the car to cover the same distance will be ?
Output: 1 hr 10 min
Problem: if z is a multiple of 8778 , what is the remainder when z ^ 2 is divided by 9 ?
Output: 0
Problem: what is the least number of squares tiles required to pave the floor of a room 4 m 5 cm long and 2 m 25 cm broad ?
Output: 4
Problem: $ 4,000 is deposited in a savings account that pays 8 % annual interest compounded semiannually . to the nearest dollar , how much is in the account at the end of the year ?
Output: $ 4326.40
Problem: the cost price of 30 articles is the same as the selling price of x articles . if the profit is 20 % , what is x ?
Output: 25
Problem: if 32.5 % of the 880 students at a certain college are enrolled in biology classes , how many students at the college are not enrolled in a biology class ?
Output: 594
Problem: a train which has 430 m long , is running 45 kmph . in what time will it cross a person moving at 9 kmph in same direction ?
Output: 43 sec
Problem: a sum fetched a total simple interest of $ 4151.25 at the rate of 9 p . c . p . a . in 5 years . what is the sum ?
Output: $ 892
Problem: a certain car can travel 40 minutes on a gallon of gasoline at 60 miles per hour . if the car had started with a full tank and had 6 gallons of gasoline left in its tank at the end , then what percent of the tank was used to travel 80 miles at 60 mph ?
Output: 25 %
Problem: a car averages 30 miles per hour for the first 5 hours of a trip and averages 42 miles per hour for the rest of the trip . if the average speed for the entire trip is 34 miles per hour , how many hours long is the trip ?
Output: 7.5
Problem: what will be the compound interest on a sum of rs . 29,000 after 3 years at the rate of 12 % p . a . ?
Output: s . 11742.91
Problem: if jack walked 6 miles in 1 hour and 15 minutes , what was his rate of walking in miles per hour ?
Output: 4.8
Problem: in a group of cows and hens , the number of legs are 8 more than twice the number of heads . the number of cows is :
Problem: the number of positive integer solutions for the equation x + y + z + t = 30 is
Output: 3654
Problem: reeya obtained 55 , 67 , 76 , 82 and 85 out of 100 in different subjects , what will be the average
Output: 73
Problem: there are two positive numbers in the ratio 2 : 7 . if the larger number exceeds the smaller by 30 , then find the larger number ?
Output: 42
Problem: one night 17 percent of the female officers on a police force were on duty . if 204 police officers were on duty that night and half of these were female officers , how many female officers were on the police force ?
Output: 600
Problem: the contents of a certain box consist of 20 apples and 30 oranges . how many oranges must be added to the box so that exactly 20 % of the pieces of fruit in the box will be apples ?
Output: 50
Problem: the workforce of company x is 60 % female . the company hired 24 additional male workers , and as a result , the percent of female workers dropped to 55 % . how many employees did the company have after hiring the additional male workers ?
Output: 288
Problem: whats the reminder when 58 , 458,965 , 231,457 , 895,684 , 525,465 , 985,445 is divided by 16
Output: 5
Problem: the ratio of the volumes of two cubes is 1000 : 1331 . what is the ratio of their total surface areas ?
Output: 100 : 121
Problem: what is the smallest positive integer x such that 720 - x is the cube of a positive integer
Output: 9
Problem: 1370 , x , 1070 , - 180 , - 6430
Output: 1320
Problem: if 75 percent of a class answered the first question on a certain test correctly , 45 percent answered the second question on the test correctly , and 20 percent answered neither of the questions correctly , what percent answered both correctly ?
Output: ( 8 ) 40 %
Problem: the perimeter of a square is equal to the perimeter of a rectangle of length 17 cm and breadth 14 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places )
Output: 24.35
Problem: ? % of 360 = 180
Output: 50
Problem: the average of runs of a cricket player of 10 innings was 33 . how many runs must he make in his next innings so as to increase his average of runs by 4 ?
Output: 77
Problem: if y exceeds x by 25 % , then x is less than y by ?
Output: 20 %
Problem: the average score of a cricketer in 2 matches is 60 and in other 3 matches is 50 . then find the average score in all the 5 matches ?
Output: 54
Problem: the largest three digit number which is a perfect cube , is :
Output: 72
Problem: a 160 meter long train crosses a man standing on the platform in 18 sec . what is the speed of the train ?
Output: 32 kmph
Problem: albert invested rs . 8000 in a scheme for 2 years at compound interest rate 5 % p . a . how much amount will albert get on maturity of the fixed deposit ?
Output: 882
Problem: a person buys an article at $ 600 . at what price should he sell the article so as to make a profit of 8 % ?
Output: 648
Problem: what is the remainder when ( 63 ) ( 65 ) is divided by 8 ?
Problem: if shares of two persons in profits are rs . 1600 and rs . 1200 then ratio of their capitals is
Output: 4 : 3
Problem: irin , ingrid and nell bake chocolate chip cookies in the ratio of 9.18 : 5.17 : 2.05 . if altogether they baked a batch of 148 cookies , what percent of the cookies did ingrid bake ?
Output: 31.7 %
Problem: two integers are in the ratio of 1 to 4 . if 6 is added to the smaller number , the ratio becomes 1 to 3 . find the larger integer .
Output: 72
Problem: a , b and c are partners in a business . their capitals are respectively , rs . 5000 , rs . 6000 and rs . 4000 . a gets 30 % of the total profit for managing the business . the remaining profit is divided among 3 in the ratio of their capitals . in the end of the year , the profit of a is rs . 200 more than the sum of the profits of b and c . find the total profit ?
Output: 3000
Problem: $ 100 is divided amongst a , b and c so that a may get 1 / 4 as much as b and c together , b may get 3 / 5 as much as a and c together , then the share of a is
Output: $ 20
Problem: an urn contains 5 red , 6 blue and 8 green balls . 4 balls are randomly selected from the urn , find the probability that the drawn ball are 1 blue and 3 red ?
Output: 5 / 323
Problem: how many positive even integers less than 100 contain digits 5 or 9 ?
Output: 10
Problem: farm tax is levied on the 45 % of the cultivated land . the tax department collected total $ 3840 through the farm tax from the village of mr . willam . mr . willam paid only $ 480 as farm tax . the percentage of total land of mr . willam over the total taxable land of the village is :
Output: 27.78 %
Problem: 30 is to be divided into two parts such that the sum of 10 times the first and 22 times the second is 780 . the bigger part is :
Output: 10
Problem: the value of a machine depreciates at 20 % per annum . if its present value is rs . 1 , 50,000 , at what price should it be sold after two years such that a profit of rs . 30,000 is made ?
Output: 12600
Problem: johnson completes a piece of work in 10 days , vincent completes the same work in 40 days . if both of them work together , then the number of days required to complete the work is
Output: 8 days
Problem: in triangle pqr , the angle q = 90 degree , pq = 4 cm , qr = 8 cm . x is a variable point on pq . the line through x parallel to qr , intersects pr at y and the line through y , parallel to pq , intersects qr at z . find the least possible length of xz
Output: 3.2 c
Problem: a local elementary school has 1049 students and 9 teachers , how many students would have to be added to the school to make sure each teacher has the same amount of students in their classroom ?
Output: 4
Problem: the average marks of 30 students in a class is 100 . but a student mark is wrongly noted as 70 instead of 10 then find the correct average marks ?
Output: c ) 98
Problem: if a and b are positive real numbers , and a ^ 3 + b ^ 3 = 25 , then the greatest possible value of a is between :
Output: 0 and 3
Problem: a 440 - liter solution of kola is made from 88 % water , 8 % 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: 4.52 % .
Problem: a wire in the form of a circle of radius 3.5 m is bent in the form of a rectangule , whose length and breadth are in the ratio of 6 : 5 . what is the area of the rectangle ?
Output: 30 cm 2', 'c ) 76 cm 2', 'd ) 68 cm 2', 'e ) 46 cm 2'
Problem: sandy gets 3 marks for each correct sum and loses 2 marks for each incorrect sum . sandy attempts 30 sums and obtains 50 marks . how many sums did sandy get correct ?
Output: 22
Problem: if a is a positive integer , and if the units digit of a ^ 2 is 9 and the units digit of ( a + 1 ) ^ 2 is 6 , what is the units digit of ( a + 2 ) ^ 2 ?
Output: 5
Problem: a person borrows 20000 for 6 years at 8 % p . a . simple interest . he immediately lends it to another person at 9 % p . a . for 6 years . find his gain in the transaction per year .
Output: 200
Problem: a solid yellow stripe is to be painted in the middle of a certain highway . if 1 gallon of paint covers an area of w square feet of highway , how many gallons of paint will be needed to paint a stripe of t inches wide on a stretch of highway m miles long ? ( 1 mile = 5,280 feet and 1 foot = 12 inches )
Output: ( 5,280 mt ) / 12 w', 'b ) ( 5,280 pt ) / 12 m', 'c ) ( 5,280 pmt ) / 12', 'd ) ( 5,280 ) ( 12 m ) / pt', 'e ) ( 5,280 ) ( 12 p ) / mt'
Problem: what is the units digit of 23 ^ 2 * 17 ^ 2 * 39 ^ 2 ?
Output: 1
Problem: if the probability of rain on any given day in chicago during the summer is 50 % , independent of what happens on any other day , what is the probability of having exactly 3 rainy days from july 4 through july 8 , inclusive ?
Output: 5 / 16
Problem: if m is a positive integer and m ^ 2 is divisible by 24 , then the largest positive integer that must divide m is ?
Output: 8
Problem: a flagstaff 17.5 m high casts a shadow of length 40.25 m . the height of the building , which casts a shadow of length 28.75 m under similar conditions will be ?
Output: 12.5 m
Problem: average monthly income of a family of 4 earning members was rs . 840 . one of the earning members died and therefore , the average income came down to rs 650 . the income of the deceased was ?
Output: rs . 1410
Problem: x and y are two towns . ganesh covers the distance from x to y at an average speed of 43 km / hr . however , he covers the distance from y to x at an average speed of 34 km / hr . his average speed during the whole journey in km / hr . is :
Output: 38
Problem: what is the measure of the angle q made by the diagonals of the any adjacent sides of a cube .
Output: 60
Problem: visitors to show were charged rs . 15 each on the first day . rs . 7.50 on the second day , rs . 2.50 on the third day and total attendance on the 3 days were in ratio 2 : 5 : 13 respectively . the average charge per person for the whole show is ?
Output: 5
Problem: hillary and eddy are climbing to the summit of mt . everest from a base camp 4,900 ft from the summit . when they depart for the summit at 06 : 00 , hillary climbs at a rate of 800 ft / hr with eddy lagging behind at a slower rate of 500 ft / hr . if hillary stops 900 ft short of the summit and then descends at a rate of 1,000 ft / hr , at what time do hillary and eddy pass each other on her return trip ?
Output: 12.0