[User]
a, b and c, each working alone can complete a job in 6, 8 and 12 days respectively. if all three of them work together to complete a job and earn $ 4680, what will be a's share of the earnings?
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[Assistant] $ 2080

[User]
by selling an article at rs. 600, a profit of 25 % is made. find its cost price?
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[Assistant] 480

[User]
ashok and pyarelal invested money together in a business and share a capital of ashok is 1 / 9 of that of pyarelal. if the incur a loss of rs 1200 then loss of pyarelal?
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[Assistant] 1080

[User]
the cross - section of a cannel is a trapezium in shape. if the cannel is 20 m wide at the top and 12 m wide at the bottom and the area of cross - section is 800 sq m, the depth of cannel is?
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[Assistant] 50

[User]
the average wages of a worker during a fortnight comprising 15 consecutive working days was $ 90 per day. during the first 7 days, his average wages was $ 87 per day and the average wages during the last 7 days was $ 95 per day. what was his wage on the 8 th day?
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[Assistant] $ 76


[User]
what is the rate percent when the simple interest on rs. 1500 amount to rs. 250 in 5 years?
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[Assistant] 3.33 %

[User]
nd the area of trapezium whose parallel sides are 20 cm and 15 cm long, and the distance between them is 14 cm?
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[Assistant] 245 cm 2

[User]
if 50 apprentices can finish a job in 4 hours, and 30 journeymen can finish the same job in 7 hours, how much of the job should be completed by 10 apprentices and 15 journeymen in one hour?
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[Assistant] 17 / 140

[User]
a sum of money lent out at s. i. amounts to a total of $ 420 after 2 years and to $ 595 after a further period of 5 years. what was the initial sum of money that was invested?
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[Assistant] $ 350

[User]
donovan and michael are racing around a circular 300 - meter track. if donovan runs each lap in 45 seconds and michael runs each lap in 40 seconds, how many laps will michael have to complete in order to pass donovan, assuming they start at the same time?
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[Assistant] 9


[User]
the average age of a group of persons going for picnic is years. fifteen new persons with an average age of 15 years join the group on the spot due to which their average age becomes 15.5 years. the number of persons initially going for picnic is
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[Assistant] 15

[User]
the average of 10 numbers was calculated as 19. it is discovered later on that while calculating the average, one number, namely 76, was incorrectly read as 26. what is the correct average?
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[Assistant] 24

[User]
anand and deepak started a business investing rs. 22,500 and rs. 35,000 respectively. out of a total profit of rs. 13,800, deepak ’ s share is _____
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[Assistant] 5400

[User]
of the 3,600 employees of company x, 3 / 4 are clerical. if the clerical staff were to be reduced by 4 / 5, what percent of the total number of the remaining employees would then be clerical?
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[Assistant] 37 %

[User]
the sum of the squares of three numbers is 41, while the sum of their products taken two at a time is 20. their sum is :
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[Assistant] 9


[User]
when a merchant imported a certain item, she paid a 7 percent import tax on the portion of the total value of the item in excess of $ 1,000. if the amount of the import tax that the merchant paid was $ 109.90, what was the total value of the item?
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[Assistant] $ 2570

[User]
a cyclist rides a bicycle 9 km at an average speed of 12 km / hr and again travels 12 km at an average speed of 9 km / hr. what is the average speed for the entire trip?
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[Assistant] 10.1

[User]
tea worth rs. 126 per kg are mixed with a third variety in the ratio 1 : 1 : 2. if the mixture is worth rs. 173 per kg, the price of the third variety per kg will be
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[Assistant] rs. 195.50

[User]
110 is increased by 50 %. find the final number.
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[Assistant] 165

[User]
in a manufacturing plant, it takes 36 machines 4 hours of continuous work to fill 8 standard orders. at this rate, how many hours of continuous work by 72 machines are required to fill 24 standard orders?
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[Assistant] 6


[User]
a textile manufacturing firm employees 50 looms. it makes fabrics for a branded company. the aggregate sales value of the output of the 50 looms is rs 5, 00,000 and the monthly manufacturing expenses is rs 1, 50,000. assume that each loom contributes equally to the sales and manufacturing expenses are evenly spread over the number of looms. monthly establishment charges are rs 75000. if one loom breaks down and remains idle for one month, the decrease in profit is :
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[Assistant] 7000

[User]
find large number from below question the difference of two numbers is 1365. on dividing the larger number by the smaller, we get 4 as quotient and the 15 as remainder
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[Assistant] 1815

[User]
sheila works 8 hours per day on monday, wednesday and friday, and 6 hours per day on tuesday and thursday. she does not work on saturday and sunday. she earns $ 216 per week. how much does she earn in dollars per hour?
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[Assistant] 6

[User]
by selling 15 pencils for a rupee a man loses 60 %. how many for a rupee should he sell in order to gain 60 %?
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[Assistant] 3.75

[User]
find the area of a cuboid of length 10 cm, breadth 8 cm. and height 6 cm.
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[Assistant] 480 cm cube


[User]
a shopkeeper bought 600 oranges and 400 bananas. he found 15 % of oranges and 8 % of bananas were rotten. find the percentage of fruits in good condition?
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[Assistant] 87.8 %

[User]
in an election, candidate a got 75 % of the total valid votes. if 15 % of the total votes were declared invalid and the total numbers of votes is 560000, find the number of valid vote polled in favour of candidate
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[Assistant] 357000

[User]
of 30 applicants for a job, 12 had at least 4 years'experience, 19 had degrees, and 6 had less than 4 years'experience and did not have a degree. how many of the applicants had at least 4 years'experience and a degree?
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[Assistant] 7

[User]
the circumferences of two circles are 264 meters and 704 meters. find the difference between the areas of the larger and the smaller circles?
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[Assistant] 33880 sq m

[User]
two trains are moving in opposite directions at 60 km / hr and 90 km / hr. their lengths are 1.25 km and 1.00 km respectively. the time taken by the slower train to cross the faster train in seconds is?
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[Assistant] 54


[User]
a reduction of 25 % in the price of salt enables a lady to obtain 10 kgs more for rs. 100, find the original price per kg?
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[Assistant] 3.3

[User]
if 15 % of 30 % of 50 % of a number is 90, then what is the number?
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[Assistant] 4000

[User]
a certain box has 9 cards and each card has one of the integers from 1 to 9 inclusive. each card has a different number. if 2 different cards are selected at random, what is the probability that the sum of the numbers written on the 2 cards is less than the average ( arithmetic mean ) of all the numbers written on the 9 cards?
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[Assistant] 1 / 18

[User]
what is the 6 th digit to the right of the decimal point in the decimal equivalent of 16 / 45?
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[Assistant] 5

[User]
a, b and c invested rs. 6300, rs. 4200 and rs. 10500 respectively, in a partnership business. find the share of a in profit of rs. 13600 after a year?
Answer the question using a single word or phrase.

[Assistant] 4080


[User]
two trains 120 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. in what time will they be completely clear of each other from the moment they meet?
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[Assistant] 7.07

[User]
the average weight of 4 pigs is 15 kg. weight less than 16 kg is considered as under weight. what maximum no. of pig can be under weight.
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[Assistant] 4

[User]
a can do a job in 30 days and b in 40 days. if they work on it together for 10 days, then the fraction of the work that is left is?
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[Assistant] 5 / 12

[User]
a retail appliance store priced a video recorder at 20 percent above the wholesale cost of $ 200. if a store employee applied the 15 percent employee discount to the retail price to buy the recorder, how much did the employee pay for the recorder?
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[Assistant] $ 204

[User]
the compound ratio of 1 : 4, 2 : 5 and 1 : 6?
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[Assistant] 1 : 60


[User]
the true discount on a bill due 9 months hence at 16 % per annum is rs. 189. the amount of the bill is
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[Assistant] rs. 1764

[User]
in a division sum, the remainder is 0. as student mistook the divisor by 12 instead of 21 and obtained 35 as quotient. what is the correct quotient?
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[Assistant] 20

[User]
tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. what is the probability that the ticket drawn bears a number which is a multiple of 3?
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[Assistant] 3 / 10

[User]
the sum of the digits of [ ( 10 ^ x ) ^ y ] - 64 = 279. what is the value of xy?
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[Assistant] 32

[User]
a corporation paid $ 7 million in federal taxes on its first $ 50 million of gross profits and then $ 30 million in federal taxes on the next $ 150 million in gross profits. by approximately what percent did the ratio of federal taxes to gross profits increase from the first $ 50 million in profits to the next $ 150 million in profits?
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[Assistant] 43 %


[User]
jack and jill are marathon runners. jack can finish a marathon ( 42 km ) in 5.5 hours and jill can run a marathon in 4.2 hours. what is the ratio of their average running speed? ( jack : jill )
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[Assistant] 42 / 55

[User]
two trains a and b are 100 m and 150 m long and are moving at one another at 54 km / hr and 36 km / hr respectively. arun is sitting on coach b 1 of train a. calculate the time taken by arun to completely cross train b.
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[Assistant] 6 s

[User]
angelo and isabella are both salespersons. in any given week, angelo makes $ 550 in base salary plus 8 percent of the portion of his sales above $ 5,000 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?
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[Assistant] 7,500

[User]
15 % people of a village in sri lanka died by bombardment, 25 % of the remainder left the village on account of fear. if now the population is reduced to 4555, how much was it in the beginning?
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[Assistant] 7145

[User]
in a group of cows and hens, the number of legs are 18 more than twice the number of heads. the number of cows is
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[Assistant] 9


[User]
sum of the squares of 3 no. is 252 and the sum of their products taken two at a time is 116. find the sum?
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[Assistant] 22

[User]
a train 120 m long running at 72 kmph crosses a platform in 25 sec. what is the length of the platform?
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[Assistant] 380 m

[User]
an exam consists of 8 true / false questions. brian forgets to study, so he must guess blindly on each question. if any score above 60 % is a passing grade, what is the probability that brian passes?
Answer the question using a single word or phrase.

[Assistant] 35 / 256

[User]
the positive numbers w, x, y, and z are such that x is 35 percent greater than y, y is 20 percent greater than z, and w is 20 percent less than x. what percent greater than z is w?
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[Assistant] 20.0 %

[User]
evaluate : 22 + sqrt ( - 4 + 6 * 4 * 3 ) =?
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[Assistant] 24


[User]
how long will a boy take to run round a square field of side 40 meters, if he runs at the rate of 9 km / hr?
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[Assistant] 64 sec

[User]
the side of a square is increased by 40 % then how much % does its area increases?
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[Assistant] 96

[User]
a runs twice as fast as b and gives b a start of 83 m. how long should the racecourse be so that a and b might reach in the same time?
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[Assistant] none of the above

[User]
two trains 190 m and 160 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks. the time which they take to cross each other is?
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[Assistant] 12.6

[User]
if a square mirror has a 20 - inch diagonal, what is the approximate perimeter w of the mirror, in inches?
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[Assistant] 60


[User]
10 litres of water are poured into an aquarium of dimensions 50 cm length, 20 cm breadth, and 40 cm height. how high ( in cm ) will the water rise? ( 1 litre = 1000 cm ³ )
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[Assistant] 10

[User]
a retailer sells 10 shirts. the first 3 he sells for $ 82, $ 100 and $ 90. if the retailer wishes to sell the 10 shirts for an overall average price of over $ 100, what must be the minimum average price of the remaining 7 shirts?
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[Assistant] $ 104.00

[User]
a train running at the speed of 90 km / hr crosses a pole in 9 seconds. find the length of the train.
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[Assistant] 225 meter

[User]
what is the total number of integers between 20 and 80 ( exclusive ) that are divisible by 10?
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[Assistant] 5

[User]
a mixture of 85 kg contains milk and water in the ratio 27 : 7. how much more water is to be added to get a new mixture containing milk and water in the ratio 3 : 1?
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[Assistant] 5 kg


[User]
what is the sum of all the multiples of 25 between 30 and 100?
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[Assistant] 250

[User]
the product of a and b is equal to 12 more than twice the sum of a and b. if b = 10, what is the value of b - a?
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[Assistant] 6

[User]
a 600 meter long train crosses a signal post in 40 seconds. how long will it take to cross a 5.4 kilometer long bridge, at the same speed?
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[Assistant] 6 min

[User]
there are 7 stores in town that had a total of 21 visitors on a particular day. however, only 11 people went shopping that day ; some people visited more than one store. if 7 people visited exactly two stores each, and everyone visited at least one store, what is the largest number of stores anyone could have visited?
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[Assistant] 4

[User]
what is the largest 4 digit number exactly divisible by 12?
Answer the question using a single word or phrase.

[Assistant] 9996


[User]
the length of a rectangulat plot is 20 metres more than its breadth. if the cost of fencing the plot @ rs. 26.50 per metre is rs. 5300, what is the length of the plot in metres?
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[Assistant] 200

[User]
if two positive numbers are in the ratio 1 / 8 : 1 / 7, then by what percent is the second number more than the first?
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[Assistant] 14.3 %.

[User]
ashok secured average of 79 marks in 6 subjects. if the average of marks in 5 subjects is 74, how many marks did he secure in the 6 th subject?
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[Assistant] 104

[User]
johnny makes $ 4.75 per hour at his work. if he works 6 hours, how much money will he earn?
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[Assistant] $ 28.50

[User]
the sale price sarees listed for rs. 150 after successive discount is 20 % and 10 % is?
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[Assistant] 108


[User]
the difference between a number and its three fifth is 50. what is the number?
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[Assistant] 125

[User]
a rectangular plot measuring 90 metres by 50 metres is to be enclosed by wire fencing. if the poles of the fence are kept 20 metres apart, how many poles will be needed?
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[Assistant] 14

[User]
how many liters of water must be added to 14 liters of milk and water containing 10 % water to make it 30 % water?
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[Assistant] 4 liters

[User]
in the x - y plane, there are 4 points ( 0,0 ), ( 0,4 ), ( 4,4 ), and ( 4,0 ). if these 4 points makes a rectangle, what is the probability that x + y < 4?
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[Assistant] 1 / 2

[User]
the population of a town is 10000. it increases annually at the rate of 20 % p. a. what will be its population after 6 years?
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[Assistant] 29859


[User]
john and ingrid pay 30 % and 40 % tax annually, respectively. if john makes $ 58000 and ingrid makes $ 72000, what is their combined tax rate?
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[Assistant] 35.6 %

[User]
a basketball player is shooting hoops. he shoots a free throw, a high school 3 - pointer, and then a professional 3 - pointer. the probability that he makes the free throw is 4 / 5, the probability that he makes the high school 3 - pointer is 1 / 2, and the probability that he makes the professional 3 - pointer is 1 / 3. what is the probability that he makes at least one of the 3 shots?
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[Assistant] 14 / 15

[User]
a confectioner decides to sell all of his pastry due to the coming holiday. his pastry goods are equally divided among a group of 28 regular customers. if only 49 customers come to the bakery, each one will receive 6 less pastry goods. how much pastry does the confectioner needs to sell?
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[Assistant] 392

[User]
what decimal of an hour is a second
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[Assistant] . 0027

[User]
a train of 24 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?
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[Assistant] 3


[User]
the total cost of 100 paper plates and 200 paper cups is $ 7.50 at the same rates what is the total cost of 20 of the plates and 40 of the cups?
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[Assistant] $ 1.50

[User]
the average age of 20 students in a class is 15 years. if the age of teacher is also included, the average becomes 16 years, find the age of the teacher.
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[Assistant] 36

[User]
in how many t ways can 4 white and 3 black chess pieces be arranged in a row such that they occupy alternate places? assume that the pieces are distinct.
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[Assistant] t = 144

[User]
a baseball card decreased in value 20 % in its first year and 10 % in its second year. what was the total percent decrease of the card's value over the two years?
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[Assistant] 28 %

[User]
two alloys a and b are composed of two basic elements. the ratios of the compositions of the two basic elements in the two alloys are 5 : 3 and 5 : 1, respectively. a new alloy x is formed by mixing the two alloys a and b in the ratio 4 : 3. what is the ratio of the composition of the two basic elements in alloy x?
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[Assistant] 5 : 2


[User]
dick and jane each saved $ 1000 in 1989. in 1990 dick saved 15 percent more than in 1989, and together he and jane saved a total of $ 2000. approximately what percent less did jane save in 1990 than in 1989?
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[Assistant] 15 %

[User]
calculate the share of y, if rs. 2690 is divided among x, y and z in the ratio 5 : 7 : 9?
Answer the question using a single word or phrase.

[Assistant] 896.7

[User]
the perimeter of an equilateral triangle is 45. if one of the side is the side of an isoceles triangle of perimeter 40 then what is the lenght of base of isoceles triangle.
Answer the question using a single word or phrase.

[Assistant] 10 units

[User]
a lemonade stand sold only small and large cups of lemonade on tuesday. 3 / 5 of the cups sold were small and the rest were large. if the large cups were sold for 5 / 6 as much as the small cups, what fraction of tuesday's total revenue was from the sale of large cups?
Answer the question using a single word or phrase.

[Assistant] 5 / 14

[User]
after 10 % of the inhabitants of a village disappeared, a panic set in during which 25 % of the remaining inhabitants left the village. at that time, the population was reduced to 4860. what was the number of original inhabitants?
Answer the question using a single word or phrase.

[Assistant] 7200


[User]
worker a takes 7 hours to do a job. worker b takes 10 hours to do the same job. how long it take both a & b, working together but independently, to do the same job?
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[Assistant] 70 / 17

[User]
in what time will a train 200 meters long cross an electric pole, if its speed is 128 km / hr
Answer the question using a single word or phrase.

[Assistant] 5.7 seconds

[User]
4, 12, 48, 240, 1440, 10080,80640, 725760 (... )
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[Assistant] 7257600

[User]
if rs. 10 be allowed as true discount on a bill of rs. 110 at the end of a certain time, then the discount allowed on the same sum due at the end of double the time is?
Answer the question using a single word or phrase.

[Assistant] 18.33

[User]
a train 120 m long running at 60 kmph crosses a platform in 20 sec. what is the length of the platform?
Answer the question using a single word or phrase.

[Assistant] 213


[User]
two pipes a and b can fill a tank in 12 hours and 15 hours respectively. if both pipe open together in tank, then how much time it take to fill the tank?
Answer the question using a single word or phrase.

[Assistant] 20 / 3

[User]
when a number is divided by 13, the remainder is 6. when the same number is divided by 7, then remainder is 1. what is the number?
Answer the question using a single word or phrase.

[Assistant] 253

[User]
for the past n days, the average ( arithmetic mean ) daily production at a company was 60 units. if today's production of 90 units raises the average to 62 units per day, what is the value of n?
Answer the question using a single word or phrase.

[Assistant] 14

[User]
james took a 3 - hour bike ride. in the second hour he travlled 24 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?
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[Assistant] 74.0

[User]
a rectangular block 6 cm by 12 cm by 15 cm is cut up into an exact number of equal cubes. find the least possible number of cubes.
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[Assistant] 40


[User]
two employees m and n are paid a total of $ 572 per week by their employer. if m is paid 120 percent of the salary paid to n, how much is n paid per week?
Answer the question using a single word or phrase.

[Assistant] $ 260

[User]
if rs. 527 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?
Answer the question using a single word or phrase.

[Assistant] s. 372

[User]
the annual interest rate earned by an investment increased by 10 percent from last year to this year. if the annual interest rate earned by the investment this year was 9 percent, what was the annual interest rate last year?
Answer the question using a single word or phrase.

[Assistant] 8.18 %

[User]
in what ratio should a variety of rice costing rs. 6 per kg be mixed with another variety of rice costing rs. 8.75 per kg to obtain a mixture costing rs. 7.50 per kg?
Answer the question using a single word or phrase.

[Assistant] 5 / 6

[User]
a driver goes on a trip of 60 kilometers, the first 30 kilometers at 60 kilometers per hour and the remaining distance at 30 kilometers per hour. what is the average speed of the entire trip in kilometers per hour?
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[Assistant] 40


[User]
a certain meter records voltage between 0 and 10 volts inclusive. if the average value of 3 recordings on the meter was 7 volts, what was the smallest possible recording in volts?
Answer the question using a single word or phrase.

[Assistant] 3

[User]
the perimeter of one square is 48 cm and that of another is 28 cm. find the perimeter and the diagonal of a square which is equal in area to these two combined?
Answer the question using a single word or phrase.

[Assistant] 13.9 √ 2

[User]
two bullet train s 140 m and 160 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks. the time ( in seconds ) which they take to cross each other, is :
Answer the question using a single word or phrase.

[Assistant] 10.8 sec.

[User]
18 times a positive integer is more than its square by 80, then the positive integer is
Answer the question using a single word or phrase.

[Assistant] 10

[User]
if | x + 3 | = 15, what is the sum of all the possible values of x?
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[Assistant] - 3


[User]
find the last digit in the product 287 x 287 + 269 x 269 - 2 x 287 x 269?
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[Assistant] 4

[User]
at a monthly meeting, 2 / 3 of the attendees were males and 3 / 4 of the male attendees arrived on time. if 5 / 6 of the female attendees arrived on time, what fraction of the attendees at the monthly meeting did not arrive on time?
Answer the question using a single word or phrase.

[Assistant] 2 / 9

[User]
the sum of the ages of 4 children born at the intervals of 4 years each is 36 years. what is the age of the youngest child?
Answer the question using a single word or phrase.

[Assistant] 3

[User]
a school has 4 section of chemistry in class x having 50, 35, 45 and 42 students. the mean marks obtained in chemistry test are 50, 60, 55 and 45 respectively for the 4 sections. determine the overall average of marks per student.
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[Assistant] 52.12

[User]
what is the least integer that is a sum of 4 different prime numbers each greater than 10?
Answer the question using a single word or phrase.

[Assistant] 60


[User]
what is the smallest positive integer that can be multiplied by 605 to make it a perfect square?
Answer the question using a single word or phrase.

[Assistant] 5

[User]
set a consists of the integers from 1 to 12, inclusive, while set b consists of the integers from 5 to 15, inclusive. how many distinct integers do belong to the both sets at the same time?
Answer the question using a single word or phrase.

[Assistant] 8

[User]
p, q and r have rs. 6000 among themselves. r has two - thirds of the total amount with p and q. find the amount with r?
Answer the question using a single word or phrase.

[Assistant] 2400

[User]
on sunday, bill ran 4 more miles than he ran on saturday. julia did not run on saturday, but she ran twice the number of miles on sunday that bill ran on sunday. if bill and julia ran a total of 32 miles on saturday and sunday, how many miles did bill run on sunday?
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[Assistant] 9

[User]
a man saves 20 % of his monthly salary. if an account of dearness of things he is to increase his monthly expenses by 20 %, he is only able to save rs. 260 per month. what is his monthly salary?
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[Assistant] 6500


[User]
a 160 meter long train crosses a man standing on the platform in 4 sec. what is the speed of the train?
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[Assistant] 144 kmph

[User]
p and q started a business investing rs 60000 and rs 15000 resp. in what ratio the profit earned after 2 years be divided between p and q respectively.
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[Assistant] 4 : 1

[User]
20 people can write 50 book in 15 days working 8 hour a day. then in how many day 200 can be written by 60 people?
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[Assistant] 100

[User]
what least number must be added to 1078, so that the sum is completely divisible by 23?
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[Assistant] 3

[User]
find the average marks of all the students in 2 separate classes, if the average marks of students in the first class of 55 students is 60 and that of another class of 48 students is 58
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[Assistant] 59.1


[User]
a train is 100 meter long and is running at the speed of 30 km per hour. find the time it will take to pass a man standing at a crossing.
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[Assistant] 12 seconds

[User]
on a game show, a contestant is given 3 keys, each of which opens exactly one of the 3 identical boxes. the contestant assigns each key to one of the boxes and wins the amount of money contained in any box that is opened by the key assigned to it. the first box contains $ 4, the second $ 400, and the third $ 4000. what is the probability that a contestant will win more than $ 4000?
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[Assistant] 1 / 6

[User]
the edges of a cuboid are 4 cm, 5 cm and 6 cm. find the volume of the cuboid?
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[Assistant] 120

[User]
for any integer k greater than 1, the symbol k * denotes the product of all integers between 1 and k, inclusive. if k * is a multiple of 1701 what is the least possible value of k?
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[Assistant] 12

[User]
a car traveled 462 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city. if the car traveled 12 fewer miles per gallon in the city than on the highway, how many miles per gallon did the car travel in the city?
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[Assistant] 32


[User]
the side of a rhombus is 25 m and length of one of its diagonals is 10 m. the area of the rhombus is?
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[Assistant] 244.95

[User]
two dogsled teams raced across a 300 - mile course in wyoming. team a finished the course in 3 fewer hours than did team b. if team a ’ s average speed was 5 miles per hour greater than that of team b, what was team b ’ s average speed, in miles per hour?
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[Assistant] 20

[User]
a metallic sheet is of rectangular shape with dimensions 52 m x 36 m. from each of its corners, a square is cut off so as to make an open box. if the length of the square is 8 m, the volume of the box ( in m 3 ) is :
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[Assistant] 5760

[User]
a shopkeeper forced to sell at cost price, uses a 700 grams weight for a kilogram. what is his gain percent?
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[Assistant] 42.85 %

[User]
a man can do a piece of work in 7 days, but with the help of his son, he can do it in 3 days. in what time can the son do it alone?
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[Assistant] 21 / 4


[User]
what is log 3 ( 4 ) log 4 ( 5 )... log 80 ( 81 )?
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[Assistant] 4

[User]
0.0005521 / 0.0000110 x 15.05 =?
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[Assistant] 755.4

[User]
the average of 6 observations is 16. a new observation is included and the new average is decreased by 1. the seventh observation is?
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[Assistant] 9

[User]
the total age of a and b is 16 years more than the total age of b and c. c is how many years younger than a?
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[Assistant] 16

[User]
keats library purchases a number of new books, all in the category of biography, and the library does not acquire any other books. with the addition of the new biographies, the biography collection of the library amounts to 25 % of the total number of books in the library. if prior to the purchase, only 20 % of the books in keats library were biographies, by what percent has the number of biographies in the library increased?
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[Assistant] 33 %


[User]
a train running at the speed of 60 km / hr crosses a pole in 36 seconds. what is the length of the train?
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[Assistant] 600 m

[User]
the product of three consecutive numbers is 504. then the sum of the smallest two numbers is?
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[Assistant] 15

[User]
if 3 ^ 20 x 2 ^ 20 = 6 ^ n what is the value of n?
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[Assistant] 20

[User]
20 men can do a work in 40 days. when should 20 men leave the work so that the entire work is completed in 40 days after they leave the work?
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[Assistant] 0 days

[User]
mary and harry enter into a partnership by investing $ 700 and $ 300 respectively. at the end of one year, they divided their profits such that a third of the profit is divided equally for the efforts they have put into the business and the remaining amount of profit is divided in the ratio of the investments they made in the business. if mary received $ 800 more than harry did, what was the profit made by their business in that year?
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[Assistant] 3000


[User]
what is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad?
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[Assistant] 814

[User]
the average of runs of a cricket player of 10 innings was 40. how many runs must he make in his next innings so as to increase his average of runs by 4?
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[Assistant] 84

[User]
find large number from below question the difference of two numbers is 1365. on dividing the larger number by the smaller, we get 6 as quotient and the 18 as remainder
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[Assistant] 1634.4

[User]
the length of a rectangular plot is thrice its breadth. if the area of the rectangular plot is 588 sq m, then what is the breadth of the rectangular plot?
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[Assistant] 14

[User]
a distributor sells a product through an online store, which take a commission of 20 % of the price set by the distributor. the distributor obtains the product from a producer at the price of $ 20 per item. what is the price that the buyer observers online if the distributor wants to maintain a 20 % profit on the cost of the item?
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[Assistant] $ 30


[User]
a man buys an item at rs. 750 and sells it at the loss of 20 percent. then what is the selling price of that item
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[Assistant] rs. 600

[User]
harry started a 4 - mile hike with a full 10 - cup canteen of water and finished the hike in 2 hours with 2 cup of water remaining in the canteen. if the canteen leaked at the rate of 1 cup per hour and harry drank 3 cups of water during the last mile, how many cups did he drink per mile during the first 3 miles of the hike?
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[Assistant] 3 / 3

[User]
salesperson a's compensation for any week is $ 260 plus 6 percent of the portion of a's total sales above $ 1,000 for that week. salesperson b's compensation for any week is 8 percent of b's total sales for that week. for what amount of total weekly sales would both salespeople earn the same compensation?
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[Assistant] $ 10,000

[User]
a, b and c start a business each investing 2,000. after 6 months a withdrew 1000, b withdrew 1000 and c invests 1000 more. at the end of the year, a total profit of 6600 was recorded. find the share of b.
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[Assistant] 1,800

[User]
in the third grade of windblown school there are 96 students, one third of them failed the math test and 1 / 6 failed that literature test. at least how many students failed both tests?
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[Assistant] 0.


[User]
find the missing figures : 0.2 % of? = 0.02
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[Assistant] 100

[User]
find the value of 18396 x 9999 = m?
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[Assistant] 183941604

[User]
the sum of the squares of three numbers is 100, while the sum of their products taken two at a time is 48. their sum is :
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[Assistant] none of these

[User]
if, 1 * 3 * 5 = 16 3 * 5 * 7 = 38 then find, 13 * 15 * 17 =?
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[Assistant] 268

[User]
if 20 men can build a wall 66 metres long in 6 days, what length of a similar can be built by 86 men in 8 days?
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[Assistant] 49 m


[User]
the calendar of the year 2024 can be used again in the year?
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[Assistant] 2052

[User]
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 6 stops away. how far away, in kilometers, is pinedale mall away from yahya's house?
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[Assistant] 30 km

[User]
3 partners a, b, c starts a business. twice a's capital is equal to thrice b's capital and b's capital is 4 times c's capital. out of a total profit of rs. 16500 at the end of the year, b's share is
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[Assistant] rs. 6000

[User]
a retailer sells 6 shirts. the first 2 he sells for $ 40 and $ 50. if the retailer wishes to sell the 6 shirts for an overall average price of over $ 50, what must be the minimum average price of the remaining 4 shirts?
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[Assistant] $ 52.50

[User]
the average salary of a person for the months of january, february, march and april is rs. 8000 and that for the months february, march, april and may is rs. 8800. if his salary for the month of may is rs. 6500, find his salary for the month of january?
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[Assistant] s. 3300


[User]
with both inlets open, a water tank will be filled with water in 20 minutes. the first inlet alone would fill the tank in 2 hours. if in every minutes the second inlet admits 50 cubic meters of water than the first, what is the capacity of the tank?
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[Assistant] 1,500

[User]
every year taylor goes to the same carnival, and he attempts to shoot a basketball into a small hoop, hoping that he will win a 10 - foot tall teddy bear. if the probability that taylor does not make a basket is 1 / 3, what is the probability that taylor makes exactly one basket in 3 tries?
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[Assistant] 2 / 9

[User]
the average of 13 result is 20. average of the first 8 of them is 20 and that of the last 8 is 40. find the 8 th result?
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[Assistant] 100

[User]
16 boys or 24 girls can construct the wall in 6 days. the number of days that 4 boys and 12 girls will take to construct?
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[Assistant] 8 days

[User]
the price of rice falls by 20 %. how much rice can be bought now with the money that was sufficient to buy 40 kg of rice previously?
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[Assistant] 50 kg


[User]
a sum of money is to be divided among ann, bob and chloe. first, ann receives $ 4 plus one - half of what remains. next, bob receives $ 4 plus one - third of what remains. finally, chloe receives the remaining $ 32. how much money j did bob receive?
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[Assistant] 22

[User]
a certain junior class has 1,000 students and a certain senior class has 800 students. among these students, there are 40 siblings pairs, each consisting of 1 junior and 1 senior. if 1 student is to be selected at random from each class, what is the probability that the 2 students selected at will be a sibling pair?
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[Assistant] 1 / 20,000

[User]
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 5 w widgets?
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[Assistant] 30

[User]
find value for x from below equation? x + 1 = 2
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[Assistant] 1

[User]
a person lent a certain sum of money at 4 % per annum at simple interest and in 8 years the interest amounted to rs. 170 less than the sum lent. what was the sum lent?
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[Assistant] 250


[User]
little john had $ 10.50. he spent $ 2.25 on sweets and gave to his two friends $ 2.20 each. how much money was left?
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[Assistant] $ 3.85

[User]
a and b can do a piece of work in 12 days and 16 days respectively. both work for 3 days and then a goes away. find how long will b take to complete the remaining work?
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[Assistant] 9 days

[User]
what is the square root of 225?
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[Assistant] 15

[User]
a motorcycle importer is planning on increasing the price of a certain model by $ 1000. at this new price 8 fewer motorcycles will be sold per month, but the total revenues will increase by $ 26000 to $ 594000. what is the number of motorcycles the manufacturer will sell at this new price?
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[Assistant] 63

[User]
1 / 0.02 is equal to
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[Assistant] 50


[User]
the average salary of all the workers in a workshop is rs. 8000. the average salary of 7 technicians is rs. 10000 and the average salary of the rest is rs. 6000. the total number of workers in the workshop is
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[Assistant] 14

[User]
what is the remainder when 3 ^ 29 is divided by 5?
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[Assistant] 3

[User]
obra drove 200 π meters along a circular track. if the area enclosed by the circular track on which she drove is 57,600 π square meters, what percentage of the circular track did obra drive?
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[Assistant] 41.66 %

[User]
if the price of a certain computer increased 20 percent from d dollars to 351 dollars, then 2 d =
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[Assistant] 585

[User]
two pipes can fill the cistern in 10 hr and 12 hr respectively, while the third empty it in 20 hr. if all pipes are opened simultaneously, then the cistern will be filled in
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[Assistant] 7.5 hr


[User]
what must be added to each term of the ratio 2 : 3, so that it may become equal to 4 : 5?
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[Assistant] 2

[User]
obra drove 180 π meters along a circular track. if the area enclosed by the circular track on which she drove is 57,600 π square meters, what percentage of the circular track did obra drive?
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[Assistant] 37.5 %

[User]
the average of 8 numbers is 21. if each of the number is multiplied by 8, the average of the new set of numbers is :
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[Assistant] 168

[User]
if 14 men do a work in 80 days, in how many days will 20 men do it?
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[Assistant] 56 days

[User]
in what proportion must flour at $ 0.8 per pound be mixed with flour at $ 0.9 per pound so that the mixture costs $ 0.855 per pound?
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[Assistant] 4 : 5


[User]
two terms are in 3 : 4, if 10 is added to each of the terms, they will be 4 : 5. find second term?
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[Assistant] 40

[User]
a 600 meter long train crosses a signal post in 40 seconds. how long will it take to cross a 18 kilometer long bridge, at the same speed?
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[Assistant] 20 min

[User]
two pipes a and b can fill a tank in 18 hours and 24 hours respectively. if both the pipes are opened simultaneously, how much time will be taken to fill the tank?
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[Assistant] 10 2 / 7 hours

[User]
the length of a rectangle is twice its breadth. if its length is decreased by 5 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 75 sq. cm. what is the length of the rectangle
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[Assistant] 40 cm

[User]
the list price of an article is rs. 70. a customer pays rs. 59.85 for it. he was given two successive discounts, one of them being 10 %. the other discount is?
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[Assistant] 5 %


[User]
for every x, the action [ x ] is defined : [ x ] is the greatest integer less than or equal to x. what is the value of [ 6.5 ] x [ 2 / 3 ] + [ 2 ] x 7.2 + [ 8.4 ] - 9.8?
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[Assistant] 12.6.

[User]
two persons start running simultaneously around a circular track of length 250 m from the same point at speeds of 20 kmph and 40 kmph. when will they meet for the first time any where on the track if they are moving in the opposite direction?
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[Assistant] 15

[User]
sixteen percent of the programmers in a startup company weigh 200 pounds or more. 20 - 5 percent of the programmers that are under 200 pounds in that same company weigh 100 pounds or less. what percent of the programmers in the startup company weigh between 100 and 200 pounds?
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[Assistant] 63 %

[User]
if a square mirror has a 20 - inch diagonal, what is the approximate perimeter q of the mirror, in inches?
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[Assistant] 60

[User]
pipes a and b can fill a tank in 3 and 4 hours. pipe c can empty it in 4 hours. if all pipes are opened together, then the tank will be filled in?
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[Assistant] 3 hr


[User]
a certain car dealership sells economy cars, luxury cars, and sport utility vehicles. the ratio of economy to luxury cars is 3 : 5. the ratio of economy cars to sport utility vehicles is 4 : 3. what is the ratio of luxury cars to sport utility vehicles?
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[Assistant] 20 : 9

[User]
if 10 people contributed a total of $ 20.00 toward a gift and each of them contributed at least $ 1.00, then the maximum possible amount any one person could have contributed is
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[Assistant] $ 11.00

[User]
the average salary of workers in an industry is rs. 200 the average salary of technicians being rs. 400 and that of non - technicians being rs. 125. what is the total number of workers?
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[Assistant] 665

[User]
two trains of equal lengths take 10 sec and 8 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?
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[Assistant] 9

[User]
reema took a loan of rs 1200 with simple interest for as many years as the rate of interest. if she paid rs. 432 as interest at the end of the loan period, what was the rate of interest.
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[Assistant] 6 %


[User]
each of the dogs in a certain kennel is a single color. each of the dogs in the kennel either has long fur or does not. of the 45 dogs in the kennel, 26 have long fur, 22 are brown, and 8 are neither long - furred nor brown. how many long - furred dogs are brown?
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[Assistant] 11

[User]
evaluate : 6202.5 + 620.25 + 62.025 + 6.2025 + 0.62025
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[Assistant] 6891.59775

[User]
a van takes 5 hours to cover a distance of 465 km. what speed in kph should the van maintain to cover the same distance in 3 / 2 of the previous time?
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[Assistant] 62

[User]
the product of two numbers is 120 and the sum of their squares is 289. the sum is :
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[Assistant] 23

[User]
in what time will a railway train 60 m long moving at the rate of 54 kmph pass a telegraph post on its way?
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[Assistant] 4 sec


[User]
a person walks at a speed of 4 km / hr and runs at a speed of 8 km / hr. how many hours will the person require to cover a distance of 4 km, if the person completes half of the distance by walking and the other half by running?
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[Assistant] 0.75

[User]
mary passed a certain gas station on a highway while traveling west at a constant speed of 50 miles per hour. then, 15 minutes later, paul passed the same gas station while traveling west at a constant speed of 60 miles per hour. if both drivers maintained their speeds and both remained on the highway for at least 4 hours, how long after he passed the gas station did paul catch up with mary?
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[Assistant] 1.25

[User]
the sum of three consecutive even numbers is 36. find the middle number of the three?
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[Assistant] 36

[User]
the average of runs of a cricket player of 10 innings was 32. how many runs must he make in his next innings so as to increase his average of runs by 4?
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[Assistant] 76

[User]
the guests at a football banquet consumed a total of 323 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?
Answer the question using a single word or phrase.

[Assistant] 162


[User]
a person can swim in still water at 10 km / h. if the speed of water 4 km / h, how many hours will the man take to swim back against the current for 12 km?
Answer the question using a single word or phrase.

[Assistant] 2

[User]
in plutarch enterprises, 70 % of the employees are marketers, 20 % are engineers, and the rest are managers. marketers make an average salary of $ 70,000 a year, and engineers make an average of $ 80,000. what is the average salary for managers if the average for all employees is also $ 80,000?
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[Assistant] $ 150,000

[User]
2525 * 9
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[Assistant] 22725

[User]
the diagonals of a rhombus are 15 cm and 21 cm. find its area?
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[Assistant] 157.5

[User]
rs. 500 amounts to rs. 620 in 2 years at simple interest. if the interest is increased by 2 %, it would amount to how much?
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[Assistant] 530


[User]
if the sales tax be reduced from 3 ( 1 / 5 ) % to 2 ( 1 / 2 ) %, then what difference does it make to a person who purchases a bag with marked price of rs. 6400?
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[Assistant] rs. 44.80

[User]
circles x and y are concentric. if the radius of circle x is 6 times that of circle y, what is the probability that a point selected inside circle x at random will be outside circle y?
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[Assistant] 35 / 36

[User]
if x + y = 8 and y − 3 x = 7, then what is the value of y - x?
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[Assistant] 15 / 2

[User]
if 6 / w + 6 / x = 6 / y and wx = y, then the average ( arithmetic mean ) of w and x is
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[Assistant] 1 / 2

[User]
a cycle is bought for rs. 900 and sold for rs. 1350, find the gain percent?
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[Assistant] 50 %


[User]
some persons can do a piece of work in 24 days. two times the number of these people will do half of that work in?
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[Assistant] 6

[User]
if 1 / 12 of the passengers on a ship are from north america, 1 / 4 are europeans, 2 / 9 are from africa, 1 / 6 are from asia and the remaining 50 people are citizens of other continents, then how many passengers are on board the ship?
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[Assistant] 180

[User]
what is the sum of all 3 digit numbers that leave a remainder of'2'when divided by 3?
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[Assistant] 164,850

[User]
if it takes 4 movers 40 minutes to unpack their van, how long would 5 movers take?
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[Assistant] 32 minutes

[User]
a person can row at 9 kmph and still water. he takes 5 1 / 2 hours to row from a to b and back. what is the distance between a and b if the speed of the stream is 1 kmph?
Answer the question using a single word or phrase.

[Assistant] 24


[User]
a grocer has a sale of rs. 5420, rs. 5660, rs. 6200, rs. 6350 and rs. 6500 for 5 consecutive months. find the sale he should have in the sixth month, so that he gets an average sale of rs. 6300?
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[Assistant] rs. 7670

[User]
a train moves with a speed of 189 kmph. its speed in metres per second is
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[Assistant] 52.5

[User]
a man has some hens and cows. if the number of heads be 100 and the number of feet equals 180, then the number of hens will be :
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[Assistant] 90

[User]
if 5 x = 6 y and xy ≠ 0, what is the ratio of 1 / 3 * x to 1 / 5 * y?
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[Assistant] 2

[User]
john and jacob set out together on bicycle traveling at 12 and 9 miles per hour, respectively. after 40 minutes, john stops to fix a flat tire. if it takes john one hour to fix the flat tire and jacob continues to ride during this time, how many hours will it take john to catch up to jacob assuming he resumes his ride at 12 miles per hour? ( consider john's deceleration / acceleration before / after the flat to be negligible )
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[Assistant] 2 1 / 3


[User]
the proportion of water to alcohol in solution a is 5 : 1 and the proportion of water to alcohol in solution b is 2 : 3. if an equal amount of each solution is mixed together, what is the concentration of alcohol in the new solution?
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[Assistant] 38.3 %

[User]
51 persons can repair a road in 12 days, working 5 hours a day. in how many days will 30 persons, working 6 hours a day, complete the work?
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[Assistant] 17

[User]
a palindrome is a word or a number that reads the same forward and backward. for example, 2442 and 111 are palindromes. if 5 - digit palindromes are formed using one or more of the digits 1, 2, 3, 4, 5, and 6, how many palindromes are possible?
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[Assistant] 216

[User]
a sells a bicycle to b at a profit of 20 %. b sells it to c at a profit of 25 %. if c pays rs. 225 for it, the cost price of the bicycle for a is?
Answer the question using a single word or phrase.

[Assistant] 150

[User]
the average marks of a class of 30 students is 50 and that of another class of 50 students is 60. find the average marks of all the students?
Answer the question using a single word or phrase.

[Assistant] 56.25


[User]
if equation | x / 2 | + | y / 2 | = 1 encloses a certain region on the coordinate plane, what is the area of this region?
Answer the question using a single word or phrase.

[Assistant] 8

[User]
andrea wants to fill in two sections of her backyard with sod that must be purchased in 2 - x - 2 - foot squares. if the two sections measure 30 x 40 feet and 60 x 80 feet, how many squares of sod does she need to buy?
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[Assistant] 1500

[User]
carol and jordan draw rectangles of equal area. if carol's rectangle measures 5 inches by 24 inches and jordan's rectangle is 4 inches long, how wide is jordan's rectangle, in inches?
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[Assistant] 30

[User]
this year, mbb consulting fired 7 % of its employees and left remaining employee salaries unchanged. sally, a first - year post - mba consultant, noticed that that the average ( arithmetic mean ) of employee salaries at mbb was 10 % more after the employee headcount reduction than before. the total salary pool allocated to employees after headcount reduction is what percent of that before the headcount reduction?
Answer the question using a single word or phrase.

[Assistant] 102.3 %

[User]
at a certain company, each employee has a salary grade s that is at least 1 and at most 6. each employee receives an hourly wage p, in dollars, determined by the formula p = 9.50 + 0.25 ( s – 1 ). an employee with a salary grade of 6 receives how many more dollars per hour than an employee with a salary grade of 1?
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[Assistant] $ 1.25


[User]
the sale price sarees listed for rs. 400 after successive discount is 12 % and 5 % is?
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[Assistant] 334.4

[User]
if 4 b ^ 4 − 41 b ^ 2 + 100 = 0, then what is the sum of the two greatest possible values of b?
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[Assistant] 9 / 2

[User]
having scored 99 runs in the 19 th inning, a cricketer increases his average score by 4. what will be his average score after 19 innings?
Answer the question using a single word or phrase.

[Assistant] 27

[User]
a company decreased the price of its main product by 10 %. subsequently, the number of units sold increased such that the total revenue remained unchanged. what was the ratio of the percent increase in the units sold to the percent decrease of the original price for this product?
Answer the question using a single word or phrase.

[Assistant] 10.0

[User]
of all the homes on gotham street, 1 / 3 are termite - ridden, and 7 / 10 of these are collapsing. what fraction of the homes are termite - ridden, but not collapsing?
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[Assistant] 1 / 10


[User]
a train 150 meters long completely crosses a 320 meters long bridge in 40 seconds. what is the speed of the train is?
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[Assistant] 42

[User]
jar x is 1 / 2 full of water. jar y, which has half the capacity of jar x, is 1 / 4 full of water. if the water in jar y is poured into jar x, then jar x will be filled to what fraction of its capacity?
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[Assistant] 5 / 8

[User]
how much is 80 % of 40 is greater than 4 / 5 of 15?
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[Assistant] 20

[User]
a rainstorm increased the amount of water stored in state j reservoirs from 160 billion gallons to 200 billion gallons. if the storm increased the amount of water in the reservoirs to 50 percent of total capacity, approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm?
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[Assistant] 240

[User]
if 6 spiders make 6 webs in 6 days, then 1 spider will make 1 web in how many days?
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[Assistant] 6


[User]
solution x is 10 percent alcohol by volume, and solution y is 30 percent alcohol by volume. how many milliliters of solution y must be added to 250 milliliters of solution x to create a solution that is 25 percent alcohol by volume?
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[Assistant] 750

[User]
a man is walking at a speed of 10 km per hour. after every kilometre, he takes rest for 10 minutes. how much time will be take to cover a distance of 10 kilometres?
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[Assistant] 150 min.

[User]
eddy and freddy start simultaneously from city a and they travel to city b and city c respectively. eddy takes 3 hours and freddy takes 3 hours to complete the journey. if the distance between city a and city b is 600 kms and city a and city c is 300 kms. what is the ratio of their average speed of travel? ( eddy : freddy )
Answer the question using a single word or phrase.

[Assistant] 2 / 1

[User]
a motorcyclist goes from nagpur to pune, a distance of 500 kms at an average of 100 kmph speed. another man starts from nagpur by car 3 â ½ hours after the first, and reaches pune â ½ hour earlier. what is the ratio of the speed of the motorcycle and the car?
Answer the question using a single word or phrase.

[Assistant] 3 : 5

[User]
if jake loses 8 pounds, he will weigh twice as much as his sister kendra. together they now weigh 287 pounds. what is jake ’ s present weight, in pounds?
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[Assistant] 194


[User]
[ ( 3.242 x 14 ) / 100 ] =?
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[Assistant] 0.045388

[User]
i chose a number and divide it by 5. then i subtracted 154 from the result and got 6. what was the number i chose?
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[Assistant] 800

[User]
a man rows his boat 80 km downstream and 45 km upstream, taking 2 1 / 2 hours each time. find the speed of the stream?
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[Assistant] 7

[User]
find out the c. i on rs. 6000 at 4 % p. a. compound half - yearly for 1 1 / 2 years
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[Assistant] 367.25

[User]
a card is drawn from a pack of 52 cards. the probability of getting a queen club or a king of heart?
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[Assistant] 1 / 26


[User]
a, b and c run around a circular track starting from the same point simultaneously and in the same direction at speeds of 4 kmph, 6 kmph and 8 kmph respectively. if the length of the track is 400 meters, when will a, b and c meet at the starting point for the first time after they started the race?
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[Assistant] 12 minutes

[User]
if 15 workers can build a wall in 48 hours, how many workers will be required to do the same work in 30 hours?
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[Assistant] 24

[User]
the least number of 4 digits which is divisible by 15, 25, 40 and 75 is :
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[Assistant] 9600

[User]
find the probability that a leap year chosen at random will have 53 sundays
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[Assistant] 2 / 7

[User]
three pipes a, b and c can fill a tank from empty to full in 20 minutes, 20 minutes and 30 minutes respectively. when the tank is empty, all the three pipes are opened. a, b and c discharge chemical solutions p, q and r respectively. what is the proportion of solution r in the liquid in the tank after 3 minutes?
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[Assistant] 1 / 4


[User]
a man's speed with the current is 25 km / hr and the speed of the current is 2.5 km / hr. the man's speed against the current is?
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[Assistant] 20

[User]
in a fraction, if numerator is added by 2 and denominator by 1 it results 1, and if numerator added again by 4 and denominator by 2 it results 1 / 2. find the fraction?
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[Assistant] 5 / 4

[User]
7 people average age is 30. youngest person age is 4. find average of the people when youngest was born.
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[Assistant] 26

[User]
in a group of cows and chickens, the number of legs was 10 more than twice the number of heads. the number of cows was :
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[Assistant] 5

[User]
the cash difference between the selling prices of an article at a profit of 4 % and 6 % is rs. 3. the ratio of the two selling prices is :
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[Assistant] 52 : 53


[User]
the area of a circle is increased by 300 %. by what percent has the radius of the circle increased?
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[Assistant] 100 %

[User]
the total number of digits used in numbering the pages of a book having 356 pages is
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[Assistant] 960

[User]
working alone at their respective constant rates, a can complete a task in ‘ a ’ days and b in ‘ b ’ days. they take turns in doing the task with each working 2 days at a time. if a starts they finish the task in exact 8 days. if b starts, they take a day more. how long does it take to complete the task if they both work together?
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[Assistant] 4

[User]
each machine of type a has 2 steel parts and 2 chrome parts. each machine of type b has 6 steel parts and 5 chrome parts. if a certain group of type a and type b machines has a total of 20 steel parts and 22 chrome parts, how many machines are in the group
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[Assistant] 7

[User]
there is a square with sides of 9. what is the area of the biggest circle that can be cut out of this square?
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[Assistant] 63.62


[User]
a boat can travel with aspeed of 30 km / hr in still water. if the speed of the stream is 5 km / hr, find the time taken by the boat to go 70 km downstream.
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[Assistant] 2 hrs

[User]
the average age of a group of 10 persons was decreased by 3 years when one person, whose age was 46 years, was replaced by a new person. find the age of the new person?
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[Assistant] 16

[User]
a number whose fifth part increased by 4 is equal to its fourth part diminished by 10, is :
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[Assistant] 280

[User]
if 0.60 : x : : 6 : 2, then x is equal to
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[Assistant] 0.2

[User]
a and b together can do a piece of work in 6 days and a alone can do it in 12 days. in how many days can b alone can do it?
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[Assistant] 12 days


[User]
in a certain town, the ratio of ny yankees fans to ny mets fans is 2 : 1, and the ratio of ny mets fans to boston red sox fans is 3 : 7. if there are 352 baseball fans in the town, each of whom is a fan of exactly one of those three teams, how many ny mets fans are there in this town?
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[Assistant] 66

[User]
in a certain neighborhood, 60 percent of the student are going to school ( a ), and the rest are going to school ( b ). a new school ( c ) is opened, if 30 percent of student of school ( a ) and 40 percent of student of school ( b ) are expected to go to the new school ( c ), what percent of student are expected to go to the new school ( c )?
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[Assistant] 34 %

[User]
two trains of equal length, running with the speeds of 60 and 100 kmph, take 50 seconds to cross each other while they are running in the same direction. what time will they take to cross each other if they are running in opposite directions?
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[Assistant] 6.25

[User]
find the number of elements in the power set of { 1,2 }
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[Assistant] 4

[User]
64 + 5 * 12 / ( 180 / 3 ) =?
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[Assistant] 65


[User]
alok ordered 16 chapatis, 5 plates of rice, 7 plates of mixed vegetable and 6 ice - cream cups. the cost of each chapati is rs. 6, that of each plate of rice is rs. 45 and that of mixed vegetable is rs. 70. the amount that alok paid the cashier was rs. 1021. find the cost of each ice - cream cup?
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[Assistant] 35

[User]
the length of a train and that of a platform are equal. if with a speed of 54 k / hr, the train crosses the platform in one minute, then the length of the train ( in meters ) is?
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[Assistant] 450

[User]
jack went on a diet 6 months ago when he weighed 222 pounds. if he now weighs 198 pounds and continues to lose at the same average monthly rate, in approximately how many months will he weigh 180 pounds?
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[Assistant] 45

[User]
if 2 x = 3 y = 10, then 3 xy =?
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[Assistant] 50

[User]
b completes a work in 7 days. a alone can do it in 10 days. if both work together, the work can be completed in how many days?
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[Assistant] 4.11 days


[User]
excluding the stoppages, the speed of a bus is 48 km / hr and including the stoppages the speed of the bus is 24 km / hr. for how many minutes does the bus stop per hour?
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[Assistant] 30 min

[User]
what is the % change in the area of a rectangle when its length increases by 20 % and its width decreases by 20 %?
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[Assistant] 4 % decrease

[User]
if a certain toy store's revenue in november was 4 / 5 of its revenue in december and its revenue in january was 3 / 4 of its revenue in november, then the store's revenue in december was how many times the average ( arithmetic mean ) of its revenues in november and january?
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[Assistant] 2

[User]
a car started running at a speed of 34 km / hr and the speed of the car was increased by 2 km / hr at the end of every hour. find the total distance covered by the car in the first 10 hours of the journey.
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[Assistant] 43 km

[User]
two boys starts from the same place walking at the rate of 4 kmph and 5.5 kmph respectively in the same direction. what time will they take to be 10.5 km apart?
Answer the question using a single word or phrase.

[Assistant] 7


[User]
mr. kramer, the losing candidate in a two - candidate election, received 942568 votes, which was exactly 30 percent of all votes cast. approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast?
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[Assistant] 29 %

[User]
how many pieces of 0.40 meteres can be cut from a rod 47.5 meteres long
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[Assistant] 118

[User]
y = x ^ 2 + bx + 128 cuts the x axis at ( h, 0 ) and ( k, 0 ). if h and k are integers, what is the least value of b?
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[Assistant] - 129

[User]
3 years ago, the average age of a family of 5 members was 17. a baby having been born, the average age of the family is the same today. what is the age of the child?
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[Assistant] 2

[User]
car a runs at the speed of 33 km / hr & reaches its destination in 7 hr. car b runs at the speed of 44 km / h & reaches its destination in 5 h. what is the respective ratio of distances covered by car a & car b?
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[Assistant] 21 : 20


[User]
a and b undertake to do a piece of work for $ 120. a alone can do it in 4 days while b alone can do it in 6 days. with the help of c, they finish it in 2 days. find the share of b?
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[Assistant] $ 40

[User]
a, b, and c were to be paid in proportion to the part of work they did while working on the same piece of work. a and b individually can finish the piece of work in 12 days and 15 days respectively. they worked together for 5 days and then c completed the remaining work all alone. if $ 810 was the net sum to be paid for the entire work, what was the average daily wage of b?
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[Assistant] $ 54

[User]
an aeroplane covers a certain distance at a speed of 240 kmph in 4 hours. to cover the same distance in 1 2 / 3 hours, it must travel at a speed of :
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[Assistant] 576

[User]
how many numbers from 29 to 79 are exactly divisible by 11?
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[Assistant] 5

[User]
the racing magic takes 60 seconds to circle the racing track once. the charging bull makes 40 rounds of the track in an hour. if they left the starting point together, how many minutes will it take for them to meet at the starting point for the second time?
Answer the question using a single word or phrase.

[Assistant] 6


[User]
how many pounds of salt at 50 cents / lb must be mixed with 45 lbs of salt that costs 35 cents / lb so that a merchant will get 20 % profit by selling the mixture at 48 cents / lb?
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[Assistant] 90

[User]
if the sum of a number and its square is 132, then what is the number?
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[Assistant] 11

[User]
0.363 * 0.522 + 0.363 * 0.478 =?
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[Assistant] 0.363

[User]
lilly has 10 fish and rosy has 8 fish. in total, how many fish do they have in all?
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[Assistant] 18

[User]
a certain clock marks every hour by striking a number of times equal to the hour, and the time required for a stroke is exactly equal to the time interval between strokes. at 6 : 00 the time lapse between the beginning of the first stroke and the end of the last stroke is 55 seconds. at 12 : 00, how many seconds elapse between the beginning of the first stroke and the end of the last stroke?
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[Assistant] b. 115


[User]
two numbers n and 10 have lcm = 36 and gcf = 5. find n.
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[Assistant] 18

[User]
the difference between c. i. and s. i. on an amount of rs. 15,000 for 2 years is rs. 216. what is the rate of interest per annum?
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[Assistant] 12

[User]
employees of a certain company are each to receive a unique 7 - digit identification code consisting of the digits 0, 1, 2, 3, 4, 5, and 6 such that no digit is used more than once in any given code. in valid codes, the second digit in the code is exactly twice the first digit. how many valid codes are there?
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[Assistant] 360

[User]
it is the new year and mandy has made a resolution to lose weight this year. she plans to exercise and do yoga. for exercise she plans to workout at the gym and ride her bicycle in the ratio of 2 : 3 everyday. she will also do yoga in the ratio, yoga : exercise = 2 : 3. if she rides her bike for 20 minutes, how much time will she spend doing yoga? ( rounded to minutes )
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[Assistant] 33 min.

[User]
two whales are moving in the same direction at 18 mps and 15 mps. the faster whale crosses the slow whale in 15 seconds. what is the length of the slower whale in meters?
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[Assistant] 45 m


[User]
speed of a boat in standing water is 14 kmph and the speed of the stream is 1.2 kmph. a man rows to a place at a distance of 4864 km and comes back to the starting point. the total time taken by him is
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[Assistant] 700 hours

[User]
the avearge score of a cricketer for 10 matches is 38.9 runs. if the average for the first 6 matches is 41. then find the average for the last 4 matches?
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[Assistant] 35.75

[User]
noelle walks from point a to point b at an average speed of 6 kilometers per hour. at what speed, in kilometers per hour, must noelle walk from point b to point a so that her average speed for the entire trip is 7 kilometers per hour?
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[Assistant] 8.4

[User]
6 x 0.6 x 0.06 x 0.006 x 60 =?
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[Assistant] 0.07776

[User]
0.009 / x = 0.02. find the value of x
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[Assistant] 0.045


[User]
if two projectiles are launched at the same moment from 2520 km apart and travel directly towards each other at 432 km per hour and 576 km per hour respectively, how many minutes will it take for them to meet?
Answer the question using a single word or phrase.

[Assistant] 150

[User]
each week, harry is paid x dollars per hour for the first 30 hours and 1.5 x dollars for each additional hour worked that week. each week, james is paid x dollars per hour for the first 40 hours and 2 x dollars for each additional hour worked that week. last week james worked a total of 47 hours. if harry and james were paid the same amount last week, how many hours did harry work last week?
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[Assistant] 46

[User]
the greatest number that divides 60 and 190 leaving remainder 6 and 10 respectively is :
Answer the question using a single word or phrase.

[Assistant] 18

[User]
5 bells begin to toll together at 12 : 00 noon and toll respectively at intervals of 3, 4, 5, 6, and 7 seconds. not including the toll at 12 : 00 noon, how many more times will all 5 bells toll together before 1 : 00 pm ( i. e. one hour later )?
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[Assistant] 8

[User]
9 students bought burgers for $ 143 dollars. if the bill has to be divided among these students, how much amount should be added to the amound to make it divided amoung them equally in dollars ( in whole number of dollars )
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[Assistant] $ 1


[User]
amit and ananthu can do a work in 15 days and 25 days respectively. amit started the work and left after 3 days. ananthu took over and completed the work. in how many days was the total work completed?
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[Assistant] 28 days

[User]
b alone can do piece of work in 10 days. a alone can do it in 15 days. if the total wages for the work is rs 5000, how much should b be paid if they work together for the entire duration of the work?
Answer the question using a single word or phrase.

[Assistant] 267

[User]
a, b and c, each working alone can complete a job in 6, 8 and 12 days respectively. if all three of them work together to complete a job and earn $ 1170, what will be c's share of the earnings?
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[Assistant] $ 260

[User]
express a speed of 180 kmph in meters per second?
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[Assistant] 50 mps

[User]
rs. 1300 is divided so that 4 times the first share, thrice the 2 nd share and twice the third share amount to the same. what is the value of the third share?
Answer the question using a single word or phrase.

[Assistant] s. 600


[User]
joe went on a diet 4 months ago when he weighed 212 pounds. if he now weighs 188 pounds and continues to lose at the same average monthly rate, in approximately how many months will he weigh 160 pounds?
Answer the question using a single word or phrase.

[Assistant] 4.5

[User]
each day a man meets his wife at the train station after work, and then she drives him home. she always arrives exactly on time to pick him up. one day he catches an earlier train and arrives at the station an hour early. he immediately begins walking home along the same route the wife drives. eventually his wife sees him on her way to the station and drives him the rest of the way home. when they arrive home the man notices that they arrived 12 minutes earlier than usual. how much time did the man spend walking?
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[Assistant] 54 minutes

[User]
how many numbers from 29 to 79 are exactly divisible by 11
Answer the question using a single word or phrase.

[Assistant] 5

[User]
calculate the time it will take for a train that is 200 meter long to pass a bridge of 180 meter length, if the speed of the train is 65 km / hour?
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[Assistant] 21.04 seconds

[User]
if z is a multiple of 8902, what is the remainder when z ^ 2 is divided by 4?
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[Assistant] 0


[User]
a person travels from p to q a speed of 50 km / hr and returns by increasing his speed by 50 %. what is his average speed for both the trips?
Answer the question using a single word or phrase.

[Assistant] 62.5

[User]
the ratio of incomes of two person p 1 and p 2 is 5 : 4 and the ratio of their expenditures is 3 : 2. if at the end of the year, each saves rs. 1600, then what is the income of p 1?
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[Assistant] rs. 4000

[User]
what is the area of a square field whose diagonal of length 40 m?
Answer the question using a single word or phrase.

[Assistant] 800

[User]
find the greatest number which is such that when 794, 858 and 1351 are divided by it, the remainders are all same.
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[Assistant] 1

[User]
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 $ 14000 left with him. find salary..
Answer the question using a single word or phrase.

[Assistant] $ 140000


[User]
the equal amounts of money are deposited in two banks each at 15 % per annum for 3.5 years and 10 years respectively. if the difference between their interests is rs. 144, find the each sum?
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[Assistant] rs. 147.69

[User]
in traveling from a dormitory to a certain city, a student went 1 / 5 of the way by foot, 2 / 3 of the way by bus, and the remaining 12 kilometers by car. what is the distance, in kilometers, from the dormitory to the city?
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[Assistant] 90

[User]
an error 3 % in excess is made while measuring the side of a square. the percentage of error in the calculated area of the square is :
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[Assistant] 6.09

[User]
what is the sum of the first 30 odd natural numbers
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[Assistant] 900

[User]
the l. c. m. of 2 numbers is 54. the numbers are in the ratio 2 : 3. find their sum?
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[Assistant] 45


[User]
the ratio of investments of two partners p and q is 7 : 5 and the ratio of their profits is 7 : 10. if p invested the money for 7 months, find for how much time did q invest the money?
Answer the question using a single word or phrase.

[Assistant] 14

[User]
if x ^ 2 + 1 / x ^ 2 = √ 12, what is the value of x ^ 4 + 1 / x ^ 4?
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[Assistant] 10

[User]
the ratio of 3 numbers is 5 : 3 : 4 and their sum is 108. the second number of the 3 numbers is?
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[Assistant] 27

[User]
a group of 55 adults and 70 children go for trekking. if there is meal for either 70 adults or 90 children and if 42 adults have their meal, find the total number of children that can be catered with the remaining food.
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[Assistant] 36

[User]
tom and john traveled in the same direction along the equal route at their constant speed rates of 15 km per hour and 10 km per hour, respectively. after 15 minutes tom passed john, tom reaches a certain gas station, how many w minutes it takes john to reach the station?
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[Assistant] 7 and 1 / 2 min


[User]
if 40 % of a number is equal to 2 / 3 of another number, what is the ratio of first number to the second number?
Answer the question using a single word or phrase.

[Assistant] 5 / 3

[User]
pipe a fills a tank in 20 minutes. pipe b can fill the same tank 4 times as fast as pipe a. if both the pipes are kept open when the tank is empty, how many minutes will it take to fill the tank?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
in one alloy there is 12 % chromium while in another alloy it is 8 %. 20 kg of the first alloy was melted together with 35 kg of the second one to form a third alloy. find the percentage of chromium in the new alloy.
Answer the question using a single word or phrase.

[Assistant] 9.45 %

[User]
the number which exceeds 16 % of it by 42 is?
Answer the question using a single word or phrase.

[Assistant] 50

[User]
the units digit of ( 35 ) ^ ( 87 ) + ( 93 ) ^ ( 53 ) is :
Answer the question using a single word or phrase.

[Assistant] 8


[User]
in a graduating class, 40 percent of the students are male. in this class, 40 percent of the male students and 30 percent of the female students are 25 years old or older. if one student in the class is randomly selected, approximately what is the probability that he or she will be less than 25 years old?
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[Assistant] 0.66

[User]
a number is doubled and 13 is added. if resultant is trebled, it becomes 93. what is that number
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[Assistant] 9

[User]
we define that k @ j is the product of j number from k in increasing order for positive integers k, j. for example, 6 @ 4 = 6 * 7 * 8 * 9. if a = 2020 and b = 2120, what is the value t of the ratio a / b?
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[Assistant] 1 / 2

[User]
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 22 gallons of gasoline?
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[Assistant] 268

[User]
a library has an average of 1000 visitors on sundays and 700 on other days. the average number of visitors per day in a month of 30 days beginning with a sunday is :
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[Assistant] 750


[User]
a man can row upstream at 12 kmph and downstream at 38 kmph, and then find the speed of the man in still water?
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[Assistant] 25

[User]
in a college the ratio of the numbers of boys to the girls is 8 : 5. if there are 120 girls, the total number of students in the college is?
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[Assistant] 312

[User]
there are 20 poles with a constant distance between each pole. a car takes 21 second to reach the 12 th pole. how much will it take to reach the last pole.
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[Assistant] 36.2727

[User]
noelle walks from point a to point b at an average speed of 3 kilometers per hour. at what speed, in kilometers per hour, must noelle walk from point b to point a so that her average speed for the entire trip is 5 kilometers per hour?
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[Assistant] 15

[User]
if 75 percent of a class answered the first question on a certain test correctly, 65 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly?
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[Assistant] 60 %


[User]
a taxi owner buys diesel at rs. 8.50, rs. 9 and rs. 9.50 per litre for 3 successive years. what approximately is the average cost per litre of diesel if he spends rs. 5000 each year?
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[Assistant] 8.98

[User]
a man invests rs. 5,000 at the rate of 5 % per annum. how much more should he invest at the rate of 8 %, so that he can earn a total of 6 % per annum?
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[Assistant] rs. 2500

[User]
an ant walks an average of 500 meters in 12 minutes. a beetle walks 15 % less distance at the same time on the average. assuming the beetle walks at her regular rate, what is its speed in km / h?
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[Assistant] 2.215

[User]
when 1 / 10 percent of 5,000 is subtracted from 1 / 10 of 5,000, the difference is
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[Assistant] 495

[User]
what will be the fraction of 75 %
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[Assistant] 3 / 4


[User]
what is the least number which should be added to 2782 so that the sum is exactly divisible by 5, 6, 4, and 3?
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[Assistant] 38

[User]
how much is 35 % of 40 is greater than 4 / 5 of 25?
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[Assistant] 14

[User]
two cyclist start from the same places in opposite directions. one is going towards north at 10 kmph and the other is going towards south 10 kmph. what time will they take to be 50 km apart?
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[Assistant] 2.5 hrs

[User]
the value of ( 0.2 × 0.2 + 0.01 ) ( 0.1 × 0.1 + 0.02 ) - 1 is equal to
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[Assistant] 5 / 3

[User]
a person buys an article at rs. 620. at what price should he sell the article so as to make a profit of 25 %?
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[Assistant] 775


[User]
the average of 10 numbers is 7. if each number is multiplied by 10, then what is the average of the new set of numbers?
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[Assistant] 70

[User]
if xy = 25, x / y = 36, for positive numbers x and y, y =?
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[Assistant] 5 / 6

[User]
there is a 20 % chance sandy will visit china this year, while there is a 70 % chance that she will visit malaysia this year. what is the probability that sandy will visit either china or malaysia this year, but not both?
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[Assistant] 62 %

[User]
if 80 percent of the test takers taking an old paper and pencil gmat exam answered the first question on a given math section correctly, and 75 percent of the test takers answered the second question correctly, and 5 percent of the test takers answered neither question correctly, what percent answered both correctly?
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[Assistant] 60 %

[User]
dacid obtained 70, 63, 80, 63 and 65 marks ( out of 100 ) in english, mathematics, physics, chemistry and biology. what are his average marks?
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[Assistant] 68


[User]
the jogging track in a sports complex is 1000 meters in circumference. deepak and his wife start from the same point and walk in opposite directions at 20 km / hr and 13 km / hr respectively. they will meet for the first time in?
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[Assistant] 33 min

[User]
at a recent small town election for mayor a total of 979 votes were cast for the 4 candidates, the winner exceeding his opponents by 53, 79 and 105 votes, respectively. how many votes were cast for the candidate in fourth place?
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[Assistant] 199

[User]
a train 100 meters long completely crosses a 300 meters long bridge in 30 seconds. what is the speed of the train is?
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[Assistant] 48 kmph

[User]
a man buys a cycle for rs. 1600 and sells it at a loss of 10 %. what is the selling price of the cycle?
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[Assistant] 1440

[User]
how many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 7 m x 6 m x 22.5 cm?
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[Assistant] 5600


[User]
walking with 4 / 5 of my usual speed, i arrive at the bus stop 7 minutes later than normal. how many minutes does it take to walk to the bus stop at my usual speed?
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[Assistant] 28

[User]
a train 360 m long is running at a speed of 36 km / hr. in what time will it pass a bridge 140 m long?
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[Assistant] 50 sec

[User]
a primitive village follows a strange custom. they have babies only to have a boy. whenever a boy is born in a family, they stop having babies and whenever a girl is born, they have a baby again and again till a boy is born. the probability of having a boy is same as the probability of having a girl. what will be the proportion of boys to girls in the village after some time?
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[Assistant] 1.1

[User]
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. 19.36, the number of the member is the group is :
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[Assistant] 44

[User]
compound x contains elements a and b at an approximate ratio, by weight, of 2 : 10. approximately how many grams of element b are there in 324 grams of compound x?
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[Assistant] 270


[User]
a teacher grades students ’ tests by subtracting twice the number of incorrect responses from the number of correct responses. if student a answers each of the 100 questions on her test and receives a score of 73, how many questions did student a answer correctly?
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[Assistant] 91

[User]
find the value of 3 / 11 × [ ( 1 + 1 / 3 ) ( 1 + 1 / 4 ) … … … …. ( 1 + 1 / 120 ) ] is
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[Assistant] 11

[User]
10 meters of wire is available to fence off a flower bed in the form of a circular sector. what must the radius of the circle in meters be, if we wish to have a flower bed with the greatest possible surface area?
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[Assistant] 5 / 2

[User]
what is the sum of all possible 3 - digit numbers that can be constructed using the digits 2, 3, and 4 if each digit can be used only once in each number?
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[Assistant] 1998

[User]
solution y is 30 percent liquid x and 70 percent water. if 2 kilograms of water evaporate from 8 kilograms of solution y and 2 kilograms of solution y are added to the remaining 6 kilograms of liquid, what percent of this new solution is liquid x?
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[Assistant] 37 1 / 2 %


[User]
tickets to a certain concert sell for $ 20 each. the first 10 people to show up at the ticket booth received a 40 % discount, and the next 20 received a 15 % discount. if 48 people bought tickets to the concert, what was the total revenue from ticket sales?
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[Assistant] $ 820

[User]
a, b and c are partners. a receives 2 / 3 of profits, b and c dividing the remainder equally. a's income is increased by rs. 200 when the rate to profit rises from 5 to 7 percent. find the capital of b?
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[Assistant] 2500

[User]
if paint costs $ 3.20 per quart, and a quart covers 60 square feet, how much will it cost to paint the outside of a cube 10 feet on each edge?
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[Assistant] $ 32.00

[User]
how many even number in the range between 10 to 160 inclusive are not divisible by 3
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[Assistant] 51

[User]
the delhi express runs @ 144 kilometers per hours and it reaches destination 20 minute ahead of schedule. if it averages 100 km / hour, it reaches 24 minute behind schedule. what is the average speed it should maintain in order to reach the destination on schedule?
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[Assistant] 240