[User]
in an election between two candidates, the first candidate got 70 % of the votes and the second candidate got 240 votes. what was the total number of votes?
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[Assistant] 800

[User]
seed mixture x is 40 percent ryegrass and 60 percent bluegrass by weight ; seed mixture y is 25 percent ryegrass and 75 percent fescue. if a mixture of x and y contains 38 percent ryegrass, what percent of the weight of this mixture is x?
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[Assistant] 86.66 %

[User]
find the product of the localvalue and absolutevalue of 5 in 20568?
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[Assistant] 2500

[User]
a man cheats while buying as well as while selling. while buying he takes 10 % more than what he pays for and while selling he gives 20 % less than what he claims to. find the profit percent, if he sells at 9.09 % below the cost price of the claimed weight.
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[Assistant] 25 %

[User]
a sum of rs. 2665 is lent into two parts so that the interest on the first part for 5 years at 3 % per annum may be equal to the interest on the second part for 3 years at 5 % per annum. find the second sum?
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[Assistant] rs. 1332.5


[User]
2, 3, 6, 15, _, 123?
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[Assistant] 42

[User]
nitin ranks 15 th in a class of 47 students. what is rank from the last?
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[Assistant] 33

[User]
cole drove from home to work at an average speed of 70 kmh. he then returned home at an average speed of 105 kmh. if the round trip took a total of 2 hours, how many minutes did it take cole to drive to work?
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[Assistant] 72

[User]
what is the least common multiple of 152 and 190?
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[Assistant] 760

[User]
in how many ways can an answer key for a quiz be written if the quiz contains 5 true - false questions followed by 3 multiple - choice questions with 4 answer choices each, if the correct answers to all true - false questions can not be the same?
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[Assistant] 1920


[User]
canister c is 1 / 2 full of water and canister d, which has twice the capacity of canister c, is 1 / 3 full of water. if the water in canister d is poured in canister c until canister c is completely full of water, canister d will still contain what fraction of its capacity of water?
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[Assistant] 1 / 12

[User]
three numbers are in the ratio 3 : 4 : 5 and their l. c. m. is 6000. their h. c. f is?
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[Assistant] 100

[User]
jose is uploading a file to the internet for a college project. the file weighs 160 megabytes. if jose's internet speed for uploading tops 8 megabytes per minute, how long will it take until the upload is completed?
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[Assistant] 20 minutes

[User]
the average monthly salary of 20 employees in an organisation is rs. 1600. if the manager's salary is added, then the average salary increases by rs. 100. what is the manager's monthly salary?
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[Assistant] 3700

[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 $ 19000 left with him. find salary..
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[Assistant] $ 190000


[User]
in an examination, there were 2,000 candidates, out of which 900 candidates were girls and rest were boys. if 30 % of the boys and 32 % of the girls passed, then the total percentage of failed candidates is?
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[Assistant] 69.10 %

[User]
if 2 x + y = 7 and x + 2 y = 10, then ( x + y ) / 3 =
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[Assistant] 17 / 9

[User]
two friends decide to get together ; so they start riding bikes towards each other. they plan to meet halfway. each is riding at 6 mph. they live 36 miles apart. one of them has a pet carrier pigeon and it starts flying the instant the friends start traveling. the pigeon flies back and forth at 40 mph between the 2 friends until the friends meet. how many miles does the pigeon travel?
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[Assistant] 120

[User]
puzzle!!! 🙂 if 111 = 09 444 = 12 777 = 15 then 888 =???
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[Assistant] 15

[User]
town m town n town o town p town q town r ; town a town b town c town d town e town f in the table above, what is the least number of table entries that are needed to show the mileage between each town and each of the other 5 towns?
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[Assistant] 15


[User]
what is the greatest of 3 consecutive integers whose sum is 33?
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[Assistant] 12

[User]
a diagonal of a polygon is an segment between two non - adjacent vertices of the polygon. how many diagonals does a regular 45 - sided polygon have?
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[Assistant] 945

[User]
divide rs. 1600 among a, b and c so that a receives 1 / 3 as much as b and c together and b receives 2 / 3 as a and c together. a's share is?
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[Assistant] rs. 400

[User]
112 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. find the smallest part?
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[Assistant] 49

[User]
a, b and c started a shop by investing rs. 5,000, rs. 15,000 and rs. 30,000 respectively. at the end of the year, the profits were distributed among them. if c â € ™ s share of profit be rs. 3000, then the total profit was :
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[Assistant] 5,000


[User]
if { x } is the product of all even integers from 1 to x inclusive, what is the greatest prime factor of { 22 } + { 20 }?
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[Assistant] 23

[User]
if x gets 25 % more than y and y gets 20 % more than z, the share of z out of rs. 1480 will be :
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[Assistant] rs. 400

[User]
the sum of the present ages of two persons a and b is 60. if the age of a is twice that of b, find the sum of their ages 5 years hence?
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[Assistant] 70

[User]
if the ratio of apples to bananas is 5 to 2 and the ratio of bananas to cucumbers is 1 to 3, what is the ratio of apples to cucumbers?
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[Assistant] 5 : 6

[User]
in the xy - plane, a triangle has vertices ( 0,0 ), ( 4,0 ) and ( 4,6 ). if a point ( a, b ) is selected at random from the triangular region, what is the probability that a - b > 0?
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[Assistant] 2 / 3


[User]
the edge of a cube is 4 a cm. find its surface?
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[Assistant] 96 a 2

[User]
the ratio of the present age of two brothers is 1 : 2 and 5 years back, the ratio was 1 : 3. what will be the ratio of their ages after 5 years?
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[Assistant] 3 : 5

[User]
find the least number must be subtracted from 724946 so that remaining no. is divisible by 10?
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[Assistant] 6

[User]
if x is 20 percent more than y and y is 30 percent less than z, then x is what percent of z?
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[Assistant] 84 %

[User]
a truck covers a distance of 240 km at a certain speed in 8 hours. how much time would a car take at an average speed which is 18 kmph more than that of the speed of the truck to cover a distance which is 0 km more than that travelled by the truck?
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[Assistant] 5 hours


[User]
evaluate : 57 - 12 * 3 * 2 =?
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[Assistant] 49

[User]
a mixture of 180 liters of wine and water contains 20 % water. how much more water should be added so that water becomes 25 % of the new mixture?
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[Assistant] 12 liters

[User]
the sum of all the integers k such that – 23 < k < 24 is
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[Assistant] - 43

[User]
there are 3 red chips and 2 blue ones. when arranged in a row, they form a certain color pattern, for example rbrrb. how many color patterns?
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[Assistant] 10

[User]
john traveled 80 % of the way from yellow - town to green - fields by train at an average speed of 80 miles per hour. the rest of the way john traveled by car at an average speed of v miles per hour. if the average speed for the entire trip was 45 miles per hour, what is v in miles per hour?
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[Assistant] 40


[User]
what is the sum between the place values of three 7's in the numeral 87953.0727
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[Assistant] 7000.0707

[User]
two good train each 500 m long, are running in opposite directions on parallel tracks. their speeds are 45 km / hr and 30 km / hr respectively. find the time taken by the slower train to pass the driver of the faster one.
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[Assistant] 48 sec

[User]
in a tree, 2 / 5 of the birds are robins while the rest are bluejays. if 1 / 3 of the robins are female and 2 / 3 of the bluejays are female, what fraction of the birds in the tree are male?
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[Assistant] 7 / 15

[User]
what distance will be covered by a bus moving at 90 kmph in 20 seconds?
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[Assistant] 500

[User]
in traveling from a dormitory to a certain city, a student went 1 / 2 of the way by foot, 1 / 4 of the way by bus, and the remaining 6 kilometers by car. what is the distance, in kilometers, from the dormitory to the city?
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[Assistant] 24


[User]
the speed of a car is 80 km in the first hour and 60 km in the second hour. what is the average speed of the car?
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[Assistant] 70 kmph

[User]
if a town of 15,000 people is growing at a rate of approx. 1 % per year, the population of the town in 5 years will be closest to?
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[Assistant] a. 16000

[User]
when 0.232323..... is converted into a fraction, then the result is
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[Assistant] 23 / 99

[User]
in a garden, 26 trees are planted at equal distances along a yard 400 metres long, one tree being at each end of the yard. what is the distance between two consecutive trees?
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[Assistant] 16

[User]
36 men can complete a piece of work in 18 days. in how many days will 108 men complete the same work?
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[Assistant] 6


[User]
the length and breadth of a rectangle is increased by 11 % and 22 % respectively. what is the increase in the area?
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[Assistant] 35.42

[User]
the simple interest on a sum of money will be rs. 700 after 10 years. if the principal is trebled after 5 years what will be the total interest at the end of the tenth year?
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[Assistant] 1400

[User]
barbata invests $ 2000 in the national bank at 5 %. how much additional money must she invest at 8 % so that the total annual income will be equal to 6 % of her entire investment?
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[Assistant] 1000

[User]
what is the greatest positive integer x such that 5 ^ x is a factor of 125 ^ 10?
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[Assistant] 30

[User]
a dishonest milkman wants to make a profit on the selling of milk. he would like to mix water ( costing nothing ) with milk costing rs. 35 per litre so as to make a profit of 20 % on cost when he sells the resulting milk and water mixture for rs. 40 in what ratio should he mix the water and milk?
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[Assistant] 1 : 20


[User]
two trains start simultaneously from opposite ends of a 150 - km route and travel toward each other on parallel tracks. train x, traveling at a constant rate, completes the 150 - km trip in 4 hours. train y, travelling at a constant rate, completes the 150 - km trip in 3.5 hours. how many kilometers had train x traveled when it met train y?
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[Assistant] 70

[User]
( ( 1 ^ ( m + 1 ) ) / ( 5 ^ ( m + 1 ) ) ) ( ( 1 ^ 18 ) / ( 4 ^ 18 ) ) = 1 / ( 2 ( 10 ) ^ 35 ) what is m?
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[Assistant] 34

[User]
a student chose a number, multiplied it by 2, then subtracted 138 from the result and got 106. what was the number he chose?
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[Assistant] 122

[User]
a honey bee flies for 10 seconds, from a daisy to a rose. it immediately continues to a poppy, flying for 6 additional seconds. the distance the bee passed, flying from the daisy to the rose is 18 meters longer than the distance it passed flying from the rose to the poppy. the bee flies to the poppy at 3 meters per second faster than her speed flying to the rose. the bee flies how many meters per second from the daisy to the rose?
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[Assistant] 1.8

[User]
if the cost price is 98 % of sp then what is the profit %
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[Assistant] 2.04 %


[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 3 hours, how long after he passed the gas station did paul catch up with mary?
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[Assistant] 1.25

[User]
the banker â € ™ s discount of a certain sum of money is rs. 78 and the true discount on the same sum for the same time is rs. 66. the sum due is
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[Assistant] 429

[User]
right now, al and eliot have bank accounts, and al has more money than eliot. the difference between their two accounts is 1 / 10 of the sum of their two accounts. if al ’ s account were to increase by 10 % and eliot ’ s account were to increase by 20 %, then al would have exactly $ 22 more than eliot in his account. how much money does eliot have in his account right now?
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[Assistant] $ 152.3

[User]
a charitable association sold an average of 66 raffle tickets per member. among the female members, the average was 70 raffle tickets. the male to female ratio of the association is 1 : 2. what was the average number q of tickets sold by the male members of the association
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[Assistant] 58

[User]
subtract the absolute value from the local value of 4 in 564823
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[Assistant] 3996


[User]
machine a and machine g are each used to manufacture 660 sprockets. it takes machine a 10 hours longer to produce 660 sprockets than machine g. machine g produces 10 percent more sprockets per hour than machine a. how many sprockets per hour does machine a produces?
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[Assistant] 6

[User]
for all positive integers m, [ m ] = 3 m when m is odd and [ m ] = ( 1 / 2 ) * m when m is even. what is [ 7 ] * [ 4 ] equivalent to?
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[Assistant] [ 84 ]

[User]
what is the tens digit of 6 ^ 21?
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[Assistant] 5

[User]
machine x and machine b are each used to manufacture 660 sprockets. it takes machine x 10 hours longer to produce 660 sprockets than machine b. machine b produces 10 percent more sprockets per hour than machine x. how many sprockets per hour does machine x produces?
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[Assistant] 6

[User]
a can do a piece of work in 2 hours ; b and c together can do it in 3 hours, while a and c together can do it in 2 hours. how long will b alone take to do it?
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[Assistant] 3


[User]
the ages of two persons differ by 16 years. 6 years ago, the elder one was 3 times as old as the younger one. what are their present ages of the elder person
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[Assistant] 30

[User]
in one alloy there is 12 % chromium while in another alloy it is 8 %. 10 kg of the first alloy was melted together with 30 kg of the second one to form a third alloy. find the percentage of chromium in the new alloy.
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[Assistant] 9 %

[User]
an automotive test consisted of driving a car the same distance 3 separate times, first at an average rate of 4 miles per hour, then 5 miles per hour, then 6 miles per hour. if the test took 37 hours to complete, how many miles was the car driven during the entire test?
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[Assistant] 180

[User]
a can do a work in 12 days. b can do the same work in 24 days. if both a & b are working together in how many days they will finish the work?
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[Assistant] 8

[User]
a, b and c invests rs. 2000, rs. 3000 and rs. 4000 in a business. after 2 year a removed his money ; b and c continued the business for two more year. if the net profit after 3 years be rs. 4000, then a's share in the profit is?
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[Assistant] 640


[User]
balls of equal size are arranged in rows to form an equilateral triangle. the top most row consists of one ball, the 2 nd row of two balls and so on. if 19 balls are added, then all the balls can be arranged in the shape of square and each of the sides of the square contain 8 balls less than the each side of the triangle did. how many balls made up the triangle?
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[Assistant] 465

[User]
the average of 5 quantities is 10. the average of 3 of them is 4. what is the average of remaining 2 numbers?
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[Assistant] 19

[User]
a tank is 25 m long 12 m wide and 6 m deep. the cost of plastering its walls and bottom at 70 paise per sq m is
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[Assistant] rs. 520.80

[User]
how many odd factors does 520 have?
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[Assistant] 4

[User]
if the sum of two numbers is 22 and the sum of their squares is 460, then the product of the numbers is
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[Assistant] 12


[User]
what is the value of n if the sum of the consecutive odd integers from 1 to n equals 169?
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[Assistant] 25

[User]
a can finish a work in 8 days and b can do same work in half the time taken by a. then working together, what part of same work they can finish in a day?
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[Assistant] 3 / 8

[User]
donovan and michael are racing around a circular 500 - 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]
if m = | | n – 3 | – 2 |, for how many values of n is m = 6?
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[Assistant] 2

[User]
in order to obtain an income of rs. 650 from 10 % stock at rs. 96, one must make an investment of :
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[Assistant] 6240


[User]
in a group of 68 students, each student is registered for at least one of 3 classes – history, math and english. 20 - one students are registered for history, 20 - 6 students are registered for math, and thirty - 4 students are registered for english. if only 3 students are registered for all 3 classes, how many students are registered for exactly two classes?
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[Assistant] 7

[User]
210 reputed college students were asked in a survey if they preferred windows or mac brand computers. 60 students claimed that they preferred mac to windows brand computers. one third as many of the students who preferred mac to windows, equally preferred both brands. 90 of the students had no preference. how many of the students in the survey preferred windows to mac brand computers?
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[Assistant] 40

[User]
the time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. if the speed of the boat in still water is 18 kmph, find the speed of the stream?
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[Assistant] 6 kmph

[User]
a mathematics teacher tabulated the marks secured by 35 students of 8 th class. the average of their marks was 62. if the marks secured by reema was written as 50 instead of 85 then find the correct average marks up to two decimal places.
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[Assistant] 63

[User]
steve traveled the first 2 hours of his journey at 40 mph and the last 3 hours of his journey at 90 mph. what is his average speed of travel for the entire journey?
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[Assistant] 70 mph


[User]
if x is to be chosen at random from the set { 1, 2, 3, 4 } and y is to be chosen at random from the set { 5, 6, 7 }, what is the probability that xy will be odd?
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[Assistant] 1 / 3

[User]
in march mrs bil's earnings were 80 percent of the bil family's total income. in april mrs bil earned 10 percent more than in may. if the rest of the family's income was the same both months, then, in june, mrs bil's earnings were approximately what percent of the bil family's total income?
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[Assistant] 83

[User]
how many prime numbers are between 29 / 4 and 87 / 5?
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[Assistant] 2

[User]
in digging a pond 25 m * 10 m * 5 m the volumes of the soil extracted will be?
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[Assistant] 1750

[User]
the time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. if the speed of the boat in still water is 48 kmph, find the speed of the stream?
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[Assistant] 16 kmph


[User]
what is the total number of integers between 100 and 500 ( exclusive ) that are divisible by 5?
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[Assistant] 79

[User]
a shopkeeper sold 10 articles at the cost price of 12 articles. then find the profit % or lost %
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[Assistant] 20 %

[User]
venus travels around the sun at a speed of approximately 21.9 miles per second. the approximate speed is how many miles per hour?
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[Assistant] 78,840

[User]
150 ml of 30 % sulphuric acid was added to approximate 400 ml of 12 % sulphuric acid solution. find the approximate concentration of the acid in the mixture?
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[Assistant] 1 / 6

[User]
ratio between rahul and deepak is 4 : 3, after 6 years rahul age will be 18 years. what is deepak present age?
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[Assistant] 9


[User]
if a ( a + 5 ) = 6 and b ( b + 5 ) = 6, where a ≠ b, then a + b =
Answer the question using a single word or phrase.

[Assistant] − 5

[User]
the l. c. m. of two numbers is 36. the numbers are in the ratio 2 : 3. then sum of the number is :
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[Assistant] 30

[User]
a man can do a piece of work in 6 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] 6

[User]
a rectangular wall is covered entirely with two kinds of decorative tiles : regular and jumbo. 1 / 3 of the tiles are jumbo tiles, which have a length three times that of regular tiles and have the same ratio of length to width as the regular tiles. if regular tiles cover 70 square feet of the wall, and no tiles overlap, what is the area of the entire wall?
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[Assistant] 385

[User]
what is the remainder when 7 ^ 74 - 5 ^ 74 is divided by 8?
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[Assistant] 0


[User]
the sum of the present ages of a, b, c is 57 years. 3 years ago their ages were in the ratio 1 : 2 : 3. what is the present age of a?
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[Assistant] 11

[User]
a parking garage rents parking spaces for $ 12 per week or $ 30 per month. how much does a person save in a year by renting by the month rather than by the week?
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[Assistant] $ 264

[User]
the profit earned by selling an article for rs. 753 is equal to the loss incurred when the same article is sold for rs. 455. what should be the sale price for making 50 % profit?
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[Assistant] 906

[User]
1, 1, 2, 1, 2, 3, 1, 2, 3, 4, 1, 2, __?
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[Assistant] 3

[User]
the banker's gain on a sum due 6 years hence at 12 % per annum is rs. 756. what is the banker's discount?
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[Assistant] 1806


[User]
a flagstaff 17.5 m high casts a shadow of length 40.25 m. what will be the height of a building, which casts a shadow of length 28.75 m under similar conditions?
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[Assistant] 12.5 m

[User]
in a party every person shakes hands with every other person. if there were a total of 153 handshakes in the party then what is the number of persons present in the party?
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[Assistant] 18

[User]
in the xy - coordinate system, if ( m, n ) and ( m + 1, n + k ) are two points on the line with the equation x = 2 y + 5, then k =
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[Assistant] 1 / 2

[User]
if a lends rs. 25000 to b at 10 % per annum and b lends the same sum to c at 11.5 % per annum then the gain of b in a period of 3 years is?
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[Assistant] 1125

[User]
50 is what percent of 125?
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[Assistant] 40 %


[User]
two numbers a and b are such that the sum of 5 % of a and 4 % of b is two - third of the sum of 6 % of a and 8 % of b. find the ratio of a : b.
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[Assistant] 4 : 3

[User]
when jessica withdrew $ 200 from her bank account, her account balance decreased by 2 / 5. if she deposits an amount equal to 1 / 5 of the remaining balance, what will be the final balance in her bank account?
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[Assistant] 360

[User]
in a certain company, the ratio of the number of managers to the number of non - managers in any department must always be greater than 7 : 32. in the company, what is the maximum number of non - managers in a department that has 9 managers?
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[Assistant] 41

[User]
a man's speed with the current is 22 km / hr and the speed of the current is 5 km / hr. the man's speed against the current is
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[Assistant] 12

[User]
machine z takes 2 more hours than machine b to make 20 widgets. if working together, the machines can make 25 widgets in 3 hours, how long will it take machine z to make 40 widgets?
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[Assistant] 12


[User]
a certain pair of used shoes can be repaired for $ 13.50 and will last for 1 year. a pair of the same kind of shoes can be purchased new for $ 32.00 and will last for 2 years. the average cost per year of the new shoes is what percent greater than the cost of repairing the used shoes?
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[Assistant] 18.51

[User]
the average weight of a group of boys is 20 kg. after a boy of weight 31 kg joins the group, the average weight of the group goes up by 1 kg. find the number of boys in the group originally?
Answer the question using a single word or phrase.

[Assistant] 10

[User]
if x = 55 + 2 q and y = 4 q + 41, then for what value of q, x is equal to y?
Answer the question using a single word or phrase.

[Assistant] 7

[User]
a man can swim in still water at 4 km / h, but takes twice as long to swim upstream than downstream. the speed of the stream is?
Answer the question using a single word or phrase.

[Assistant] 0.75

[User]
there are 10 teams in a certain league and each team plays each of the other teams exactly twice. if each game is played by 2 teams, what is the total number of games played?
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[Assistant] 90


[User]
a sum fetched a total simple interest of rs. 100 at the rate of 5 p. c. p. a. in 4 years. what is the sum?
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[Assistant] 500

[User]
an auction house charges a commission of 18 % on the first $ 50,000 of the sale price of an item, plus 10 % on the amount of of the sale price in excess of $ 50,000. what was the price of a painting for which the house charged a total commission of $ 24,000?
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[Assistant] $ 200,000

[User]
if one person completes a journey in 10 hrs. he travels 1 st half of the journey at the rate of 21 km / hr and 2 nd half at therate of 24 km / hr. find the total journey in km.
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[Assistant] 224 km

[User]
m = { - 6, - 5, - 4, - 3, - 2, - 1 } t = { - 5, - 4, - 3, - 2, - 1, 0, 1, 2 } if an integer is to be randomly selected from set m above and an integer is to be randomly selected from set t above, what is the probability that the product of the two integers will be negative?
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[Assistant] 1 / 4

[User]
the radius of a cylinder is 6 m, height 21 m. the total surface area of the cylinder is?
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[Assistant] 528


[User]
an optometrist charges $ 150 per pair for soft contact lenses and $ 85 per pair for hard contact lenses. last week she sold 5 more pairs of soft lenses than hard lenses. if her total sales for pairs of contact lenses last week were $ 2,160, what was the total number of pairs of contact lenses that she sold?
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[Assistant] 17

[User]
what is the tenth digit of ( 5! * 5! - 5! * 3! ) / 5?
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[Assistant] 2

[User]
30 pens and 75 pencils were purchased for 570. if the average price of a pencil was 2.00, find the average price of a pen.
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[Assistant] 14

[User]
if 20 typists can type 42 letters in 20 minutes, then how many letters will 30 typists working at the same rate complete in 1 hour?
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[Assistant] 189

[User]
a certain electric - company plan offers customers reduced rates for electricity used between 8 p. m. and 8 a. m. weekdays and 24 hours a day saturdays and sundays. under this plan, the reduced rates q apply to what fraction of a week?
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[Assistant] 9 / 14


[User]
in a neighborhood having 90 households, 11 did not have either a car or a bike. if 18 households had a both a car and a bike and 44 had a car, how many had bike only?
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[Assistant] 35

[User]
two trains of equal are running on parallel lines in the same direction at 42 km / hr and 36 km / hr. the faster train passes the slower train in 36 sec. the length of each train is?
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[Assistant] 30 m

[User]
a customer pays 70 dollars for a coffee maker after a discount of 20 dollars what is the original price of the coffe maker?
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[Assistant] 90

[User]
if 40 % of a certain number is 160, then what is 50 % of that number?
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[Assistant] 200

[User]
a man can row his boat with the stream at 12 km / h and against the stream in 4 km / h. the man's rate is?
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[Assistant] 4 kmph


[User]
the circumferences of two circles are 132 meters and 352 meters. find the difference between the areas of the larger and the smaller circles?
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[Assistant] 8470 sq m

[User]
the cost of one photocopy is $ 0.02. however, a 25 % discount is offered on orders of more than 100 photocopies. if steve and dinley have to make 80 copies each, how much will each of them save if they submit a single order of 160 copies?
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[Assistant] $ 0.40

[User]
the average salary of all the workers in a workshop is rs. 8000. the average salary of 7 technicians is rs. 16000 and the average salary of the rest is rs. 6000. the total number of workers in the workshop is :
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[Assistant] 35

[User]
when positive integer w is divided by 13, the remainder is 2. when n is divided by 8, the remainder is 5. how many such values are less than 180?
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[Assistant] 1

[User]
a certain box has 11 cards and each card has one of the integers from 1 to 11 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 11 cards?
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[Assistant] 4 / 55


[User]
if a 2 + b 2 + c 2 = 281 and ab + bc + ca = 4, then a + b + c is
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[Assistant] 17

[User]
pradeep has to obtain 25 % of the total marks to pass. he got 185 marks and failed by 25 marks. the maximum marks are
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[Assistant] 840

[User]
how many digits will be there to the right of the decimal point in the product of 98 and. 08216?
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[Assistant] 5

[User]
9 men went to a theater. 8 of them spent rs. 3 each over their tickets and the ninth spent rs. 2 more than the average expenditure of all the 9. determine the total money spent by them?
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[Assistant] 29.25

[User]
bag a contains red, white and blue marbles such that the red to white marble ratio is 1 : 3 and the white to blue marble ratio is 2 : 3. bag b contains red and white marbles in the ratio of 1 : 4. together, the two bags contain 48 white marbles. how many red marbles could be in bag a?
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[Assistant] 12


[User]
a runs 1 2 / 3 times as fast as b. if a gives b a start of 80 m, how far must the winning post be so that a and b might reach it at the same time?
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[Assistant] 200 m

[User]
two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 18 kmph and 21 kmph respectively. when they meet, it is found that one train has traveled 60 km more than the other one. the distance between the two stations is?
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[Assistant] 468

[User]
if d = 1 / ( 2 ^ 3 * 5 ^ 6 ) is expressed as a terminating decimal, how many nonzero digits will d have?
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[Assistant] one

[User]
a train 110 m long is running with a speed of 50 km / h. in how many seconds will the train pass a man who is running at 5 km / h in the direction opposite to that in which the train is going?
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[Assistant] 7.2

[User]
when working alone, painter w can paint a room in 2 hours, and working alone, painter x can paint the same room in h hours. when the two painters work together and independently, they can paint the room in 3 / 4 of an hour. what is the value of h?
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[Assistant] 1 [ 1 / 5 ]


[User]
if two - third of a bucket is filled in 100 seconds then the time taken to fill the bucket completely will be.
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[Assistant] 150 seconds

[User]
if a is a positive integer, and if the units digit of a ^ 2 is 9 and the units digit of ( a + 1 ) ^ 2 is 4, what is the units digit of ( a + 2 ) ^ 2?
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[Assistant] 1

[User]
if the cost price is 81 % of selling price then what is the profit percentage.
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[Assistant] 23.45

[User]
farm tax is levied on the 60 % of the cultivated land. the tax department collected total $ 5000 through the farm tax from the village of mr. william. mr. william paid only $ 480 as farm tax. the percentage of total land of mr. willam over the total taxable land of the village is :
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[Assistant] 16 %

[User]
in company j, the total monthly payroll for the 15 factory workers is $ 30000 and the total monthly payroll for the 30 office workers is $ 75000. by how much does the average ( arithmetic mean ) monthly salary of an office worker exceed that of a factory worker in this company?
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[Assistant] $ 500


[User]
the average mark of the students of a class in a particular exam is 70. if 5 students whose average mark in that exam is 50 are excluded, the average mark of the remaining will be 90. find the number of students who wrote the exam?
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[Assistant] 10

[User]
what is the smallest positive integer nn such that √ 6,480 ∗ n is a perfect cube?
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[Assistant] 30 ^ 4

[User]
what will be the fraction of 12 %
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[Assistant] 3 / 25

[User]
at joel ’ s bookstore, the current inventory is 40 % historical fiction. of the historical fiction books, 40 % are new releases, while 20 % of the other books are new releases. what fraction of all new releases are the historical fiction new releases?
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[Assistant] 8 / 14

[User]
a person purchases 90 clocks and sells 40 clocks at a gain of 10 % and 50 clocks at a gain of 20 %. if he sold all of them at a uniform profit of 15 %, then he would have got rs. 40 less. the cost price of each clock is?
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[Assistant] 80


[User]
a rectangle having length 120 cm and width 50 cm. if the length of the rectangle is increased by ten percent then how much percent the breadth should be decreased so as to maintain the same area.
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[Assistant] 7.69 %

[User]
the average temperature for monday, tuesday, wednesday and thursday was 48 degrees and for tuesday, wednesday, thursday and friday was 46 degrees. if the temperature on monday was 39 degrees. find the temperature on friday?
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[Assistant] 31 degrees

[User]
it takes joey the postman 1 hours to run a 2 mile long route every day. he delivers packages and then returns to the post office along the same path. if the average speed of the round trip is 3 mile / hour, what is the speed with which joey returns?
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[Assistant] 6

[User]
a man is 16 years older than his son. in two years, his age will be twice the age of his son. the present age of this son is
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[Assistant] 14 years

[User]
a man's speed with the current is 15 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] 10


[User]
a man's speed with the current is 21 km / hr and the speed of the current is 4.3 km / hr. the man's speed against the current is
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[Assistant] 12.4

[User]
three cubes of metal whose edges are 9, 12 and 15 cm respectively, are melted and one new cube is made. find the edge of the new cube?
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[Assistant] 18 cm

[User]
martin buys a pencil and a notebook for 80 cents. at the same store, gloria buys a notebook and an eraser for 85 cents, and zachary buys a pencil and an eraser for 45 cents. how many cents would it cost to buy 3 pencils, 3 notebooks, and 3 erasers? ( assume that there is no volume discount. )
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[Assistant] 315

[User]
a man buys a cycle for rs. 1400 and sells it at a loss of 25 %. what is the selling price of the cycle?
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[Assistant] s. 1050

[User]
1 + 3 = 2 2 + 3 = 10 3 + 3 = 30 4 + 3 = 68 5 + 3 =??
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[Assistant] 130


[User]
a rectangular wall is covered entirely with two kinds of decorative tiles : regular and jumbo. 1 / 3 of the tiles are jumbo tiles, which have a length three times that of regular tiles and have the same ratio of length to width as the regular tiles. if regular tiles cover 90 square feet of the wall, and no tiles overlap, what is the area of the entire wall?
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[Assistant] 495

[User]
what is the difference between the place value of 2 in the numeral 7669?
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[Assistant] 540

[User]
machine a and machine b are each used to manufacture 770 sprockets. it takes machine a 10 hours longer to produce 770 sprockets than machine b. machine b produces 10 percent more sprockets per hour than machine a. how many sprockets per hour does machine a produces?
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[Assistant] 7

[User]
if x gets 25 % more than y and y gets 20 % more than z, the share of z out of rs. 370 will be :
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[Assistant] rs. 100

[User]
village x has a population of 70000, which is decreasing at the rate of 1200 per year. village y has a population of 42000, which is increasing at the rate of 800 per year. in how many years will the population of the two villages be equal?
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[Assistant] 14


[User]
a, b, c can do a piece of work in 11 days, 20 days and 55 days respectively, working alone. how soon can the work be done if a is assisted by b and c on alternate days?
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[Assistant] 8

[User]
a group of men decided to do a work in 8 days, but 3 of them became absent. if the rest of the group did the work in 10 days, find the original number of men?
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[Assistant] 15

[User]
x, y, and z are different prime numbers. the product x ^ 2 * y ^ 2 * z ^ 2 is divisible by how many different positive numbers?
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[Assistant] 27

[User]
a company has two types of machines, type r and type s. operating at a constant rate a machine of r does a certain job in 36 hours and a machine of type s does the job in 36 hours. if the company used the same number of each type of machine to do job in 12 hours, how many machine r were used?
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[Assistant] 9

[User]
? x 24 = 173 x 240
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[Assistant] 1730


[User]
in how many no. between 10 and 20 exactly two of the digits is 1?
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[Assistant] 1

[User]
a man sells a car to his friend at 11 % loss. if the friend sells it for rs. 54000 and gains 20 %, the original c. p. of the car was :
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[Assistant] rs. 50561.80

[User]
given that 268 x 74 = 19532, find the value of 2.68 x. 74.
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[Assistant] 1.9532

[User]
if a = { 1, 3, 5 }, b = { 3, 5, 6 }. find a ∪ b
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[Assistant] { 1,3, 5,6 }

[User]
the l. c. m of two numbers is 48. the numbers are in the ratio 1 : 3. the sum of numbers is :
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[Assistant] 64


[User]
after a storm deposits 115 billion gallons of water into the city reservoir, the reservoir is 80 % full. if the original contents of the reservoir totaled 245 billion gallons, the reservoir was approximately what percentage full before the storm?
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[Assistant] 54 %

[User]
the sum of the ages of 5 children born at the intervals of 2 years each is 50 years. what is the age of the youngest child?
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[Assistant] 6

[User]
an inspector rejects 0.08 % of the meters as defective, how many meters he examine to reject 2 meteres
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[Assistant] 2500

[User]
jean drew a gumball at random from a jar of pink and blue gumballs. since the gumball she selected was blue and she wanted a pink one, she replaced it and drew another. the second gumball also happened to be blue and she replaced it as well. if the probability of her drawing the two blue gumballs was 36 / 49, what is the probability that the next one she draws will be pink?
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[Assistant] 1 / 7

[User]
increasing the original price of a certain item by 30 percent and then increasing the new price by 30 percent is equivalent to increasing the original price by what percent?
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[Assistant] 69.0


[User]
the area of a square garden is a square feet and the perimeter is p feet. if a = 2 p + 15, what is the perimeter of the garden, in feet?
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[Assistant] 40

[User]
on the independence day, bananas were be equally distributed among the children in a school so that each child would get two bananas. on the particular day 370 children were absent and as a result each child got two extra bananas. find the actual number of children in the school?
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[Assistant] 740

[User]
if the perimeter of a rectangular garden is 900 m, its length when its breadth is 190 m is?
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[Assistant] 260 m

[User]
two pipes can fill a tank in 20 minutes and 15 minutes. an outlet pipe can empty the tank in 10 minutes. if all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
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[Assistant] 60

[User]
brenda and sally run in opposite direction on a circular track, starting at diametrically opposite points. they first meet after brenda has run 100 meters. they next meet after sally has run 200 meters past their first meeting point. each girl runs at a constant speed. what is the length of the track in meters?
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[Assistant] 400


[User]
if ( 2 to the x ) - ( 2 to the ( x - 2 ) ) = 3 ( 2 to the 11 ), what is the value of x?
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[Assistant] 13

[User]
the vertex of a rectangle are ( 1, 0 ), ( 9, 0 ), ( 1, 2 ) and ( 9, 2 ) respectively. if line l passes through the origin and divided the rectangle into two identical quadrilaterals, what is the slope of line l?
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[Assistant] 1 / 5

[User]
for each month of a given year except december, a worker earned the same monthly salary and donated one - tenth of that salary to charity. in december, the worker earned n times his usual monthly salary and donated one - third of his earnings to charity. if the worker's charitable contributions totaled one - eighth of his earnings for the entire year, what is the value of n?
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[Assistant] 33 / 25

[User]
what is the units digit of ( 5! * 4! + 6! * 5! ) / 3?
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[Assistant] 0

[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 1 : 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] 4 : 3


[User]
if x is 11 percent greater than 70, then x =
Answer the question using a single word or phrase.

[Assistant] 77.7

[User]
if an examination 63 % of the candidates in english, 65 % passed in mathematics, and 27 % failed in both subjects. what is the pass percentage?
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[Assistant] 55 %

[User]
a train running at the speed of 60 km / hr crosses a pole in 15 seconds. find the length of the train?
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[Assistant] 250 meter

[User]
if 1 / 2 of the air in a tank is removed with each stroke of a vacuum pump, what fraction of the original amount of air has been removed after 1 strokes?
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[Assistant] 1 / 2

[User]
fred and sam are standing 40 miles apart and they start walking in a straight line toward each other at the same time. if fred walks at a constant speed of 4 miles per hour and sam walks at a constant speed of 4 miles per hour, how many miles has sam walked when they meet?
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[Assistant] 20


[User]
the expression ( 12.86 × 12.86 + 12.86 × p + 0.14 × 0.14 ) will be a perfect square for p equal to
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[Assistant] 0.28

[User]
if the sample interest on a sum of money 20 % per annum for 2 years is $ 400, find the compound interest on the same sum for the same period at the same rate?
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[Assistant] $ 440

[User]
a pupil's marks were wrongly entered as 83 instead of 63. due to that the average marks for the class got increased by half. the number of pupils in the class is
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[Assistant] 40

[User]
a man travelled a distance of 80 km in 7 hours partly on foot at the rate of 8 km per hour and partly on bicycle at 16 km per hour. find the distance travelled on foot.
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[Assistant] 32 km

[User]
after decreasing 24 % in the price of an article costs rs. 820. find the actual cost of an article?
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[Assistant] 1079


[User]
if x ^ 2 – x = 2, then one possible value of x – 4 =
Answer the question using a single word or phrase.

[Assistant] - 5

[User]
a volunteer organization is recruiting new members. in the fall they manage to increase their number by 8 %. by the spring however membership falls by 19 %. what is the total change in percentage from fall to spring?
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[Assistant] 12.52 %

[User]
a train passes a platform in 25 seconds. the same train passes a man standing on the platform in 20 seconds. if the speed of the train is 54 km / hr, the length of the platform is
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[Assistant] 75

[User]
5 + 8
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[Assistant] 13

[User]
how many integers between 324,700 and 418,600 have tens digit 1 and units digit 3?
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[Assistant] 939


[User]
a shopkeeper sells 20 % of his stock at 10 % profit ans sells the remaining at a loss of 5 %. he incurred an overall loss of rs. 250. find the total worth of the stock?
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[Assistant] 12500

[User]
two spherical balls lie on the ground touching. if one of the balls has a radius of 5 cm, and the point of contact is 7 cm above the ground, what is the radius of the other ball?
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[Assistant] 35 / 3 cm

[User]
a couple spent $ 158.40 in total while dining out and paid this amount using a credit card. the $ 158.40 figure included a 20 percent tip which was paid on top of the price which already included a sales tax of 10 percent on top of the price of the food. what was the actual price of the food before tax and tip?
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[Assistant] $ 120

[User]
in the xy - coordinate system, if ( m, n ) and ( m + 2, n + k ) are two points on the line with the equation x = 2 y + 3, then k =
Answer the question using a single word or phrase.

[Assistant] 1

[User]
when positive integer x is divided by positive integer y, the remainder is 5. if x / y = 96.2, what is the value of y?
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[Assistant] 25


[User]
a leak in the bottom of a tank can empty the full tank in 6 hours. an inlet pipe fills water at the rate of 3.5 liters per minute. when the tank is full in inlet is opened and due to the leak the tank is empties in 8 hours. the capacity of the tank is?
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[Assistant] 5040

[User]
a can finish a work in 6 days and b can do same work in half the time taken by a. then working together, what part of same work they can finish in a day?
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[Assistant] 1 / 2

[User]
a car averages 35 miles per hour for the first 4 hours of a trip and averages 53 miles per hour for each additional hour of travel time. if the average speed for the entire trip is 50 miles per hour, how many hours long is the trip?
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[Assistant] 24

[User]
8 men, working 9 hours a day can complete a work in 24 days. how many hours a day must 12 men work to complete the same work in 16 days?
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[Assistant] 9

[User]
what percent of 13 is 13 percent of 1?
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[Assistant] 1


[User]
the volume of a cube is 1000 cc. find its surface.
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[Assistant] 600

[User]
the speed of a boat in still water is 24 kmph. what is the speed of the stream if the boat can cover 64 km downstream or 32 km upstream in the same time?
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[Assistant] 8 kmph

[User]
a number when divided by 5 gives a number which is 8 more than the remainder obtained on dividing the same number by 34. such a least possible number m is
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[Assistant] m = 75

[User]
a circle graph shows how the megatech corporation allocates its research and development budget : 14 % microphotonics ; 24 % home electronics ; 15 % food additives ; 19 % genetically modified microorganisms ; 8 % industrial lubricants ; and the remainder for basic astrophysics. if the arc of each sector of the graph is proportional to the percentage of the budget it represents, how many degrees of the circle are used to represent basic astrophysics research?
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[Assistant] 72 °

[User]
bag a contains red, white and blue marbles such that the red to white marble ratio is 1 : 3 and the white to blue marble ratio is 2 : 3. bag b contains red and white marbles in the ratio of 1 : 4. together, the two bags contain 36 white marbles. how many red marbles could be in bag a?
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[Assistant] 8


[User]
when asked what the time is, a person answered that the amount of time left is 1 / 2 of the time already completed. what is the time.
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[Assistant] 4 pm

[User]
ajay can ride 50 km in 1 hour. in how many hours he can ride 500 km?
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[Assistant] 10 hrs

[User]
in a renowned city, the average birth rate is 10 people every two seconds and the death rate is 2 people every two seconds. estimate the size of the population net increase that occurs in one day.
Answer the question using a single word or phrase.

[Assistant] 345,600

[User]
two employees m and n are paid a total of $ 616 per week by their employer. if m is paid 120 percent of the salary paid to n, how much is n paid per week?
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[Assistant] $ 280

[User]
in town x, 64 percent of the population are employed, and 38 percent of the population are employed males. what percent of the employed people in town x are females?
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[Assistant] 40 %


[User]
there were two candidates in an election. winner candidate received 55 % of votes and won the election by 100 votes. find the number of votes casted to the winning candidate?
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[Assistant] 550

[User]
5 friends adi, brian, close, derek and eli appeared in two aptitude tests. in the first aptitude test, derek score 50 % less than the average score of the 5 people. in the second aptitude test, derek score 50 % more than what he scored on the first aptitude test. if the score of his friend in the second aptitude test were same as their score in the first test, by approximately what percentage was derek's score less than the average score of the 5 people in the second aptitude?
Answer the question using a single word or phrase.

[Assistant] 25 %

[User]
an escalator moves towards the top level at the rate of 12 ft. sec and its length is 160 feet. if a person walks on the moving escalator at the rate of 8 feet per second towards the top level, how much time does he take to cover the entire length.
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[Assistant] 8 sec

[User]
if difference between compound interest and simple interest on a sum at 10 % p. a. for 2 years is rs. 41 then sum is
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[Assistant] s. 4100

[User]
a leak in the bottom of a tank can empty the full tank in 4 hours. an inlet pipe fills water at the rate of 6 litres a minute. when the tank is full, the inlet is opened and due to the leak, the tank is empty in 12 hours. how many litres does the cistern hold?
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[Assistant] 2160


[User]
a can run 224 metre in 28 seconds and b in 32 seconds. by what distance a beat b?
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[Assistant] 28 metre

[User]
in the manufacture of a certain product, 8 percent of the units produced are defective and 4 percent of the defective units are shipped for sale. what percent of the units produced are defective units that are shipped for sale?
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[Assistant] 0.32 %

[User]
$ 700 is divided amongst a, b and c so that a may get 2 / 3 as much as b and c together, b may get 6 / 9 as much as a and c together, then the share of a is
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[Assistant] $ 280

[User]
the number of boxes in a warehouse can be divided evenly into 12 equal shipments by boat or 32 equal shipments by truck. what is the smallest number of boxes that could be in the warehouse?
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[Assistant] 96

[User]
the salary of a worker is first increased by 20 % and afterwards reduced by 20 %. what is the net change in the worker's salary?
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[Assistant] 4 % decrease


[User]
one pipe can fill a tank three times as fast as another pipe. if together the two pipes can fill the tank in 37 minutes, then the slower pipe alone will be able to fill the tank in
Answer the question using a single word or phrase.

[Assistant] 148 mins

[User]
the average age of applicants for a new job is 31, with a standard deviation of 5. the hiring manager is only willing to accept applications whose age is within one standard deviation of the average age. what is the maximum number of different ages of the applicants?
Answer the question using a single word or phrase.

[Assistant] 11

[User]
a sum was put at simple interest at certain rate for 3 years. had it been put at 1 % higher rate it would have fetched rs. 78 more. the sum is : a. rs. 2,400 b. rs. 2,100 c. rs. 2,200 d. rs. 2,480
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[Assistant] 2600

[User]
what is the dividend. divisor 16, the quotient is 6 and the remainder is 2
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[Assistant] 88

[User]
a can do a work in 15 days and b in 20 days. if they work on it together for 8 days, then the fraction of the work that is left is
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[Assistant] 1 / 15


[User]
in a college the ratio of the numbers of boys to the girls is 5 : 7. if there are 140 girls, the total number of students in the college is?
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[Assistant] 240

[User]
62467 × 9998 =?
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[Assistant] 624545066

[User]
a boat takes 38 hours for travelling downstream from point a to point b and coming back to point c midway between a and b. if the velocity of the stream is 4 kmph and the speed of the boat in still water is 14 kmph, what is the distance between a and b?
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[Assistant] 360 km

[User]
a boatman goes 3 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. how long will it take to go 5 km in stationary water?
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[Assistant] 1 hour 7 min

[User]
30 buckets of water fill a tank when the capacity of each bucket is 13.5 litres. how many buckets will be required to fill the same tank if the capacity of each bucket is 9 litres?
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[Assistant] 45


[User]
a man two flats for $ 675958 each. on one he gains 14 % while on the other he loses 14 %. how much does he gain or lose in the whole transaction?
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[Assistant] 1.96 %

[User]
two trains each 250 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 20 kmph respectively. in what time will they cross each other completely?
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[Assistant] 18 sec

[User]
how many pairs ( r, r + 1 ) have one or more prime factors common, where r is an integer and 2 ≤ r ≤ 9?
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[Assistant] 0

[User]
walking at 4 / 5 of his usual speed a man is 10 mins too late. find his usual time.
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[Assistant] 40 mins

[User]
tough and tricky questions : word problems. a salesman's income consists of commission and base salary. his weekly income totals over the past 7 weeks have been $ 406, $ 413, $ 420, $ 436, $ 395, $ 410, $ 360. what must his average ( arithmetic mean ) income over the next two weeks be to decrease his average weekly income to $ 400 over the 9 - week period?
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[Assistant] $ 380


[User]
a furniture manufacturer has two machines, but only one can be used at a time. machine q is utilized during the first shift and machine b during the second shift, while both work half of the third shift. if machine q can do the job in 12 days working two shifts and machine b can do the job in 15 days working two shifts, how many days will it take to do the job with the current work schedule?
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[Assistant] 9

[User]
a company has two types of machines, type r and type s. operating at a constant rate a machine of r does a certain job in 36 hours and a machine of type s does the job in 4 hours. if the company used the same number of each type of machine to do job in 12 hours, how many machine r were used?
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[Assistant] 9 / 5

[User]
mike earns $ 15 per hour and phil earns $ 10 per hour. approximately how much less, as a percentage, does phil earn than mike per hour?
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[Assistant] 33.3 %

[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 79, how many questions did student a answer correctly?
Answer the question using a single word or phrase.

[Assistant] 93

[User]
the edges of three metal cubes are 2 cm, 3 cm, and 4 cm respectively. a new cube is made by melting these three cubes together. what is the edge of the new cube ( in centimeters )?
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[Assistant] 4.6


[User]
rahim bought 50 books for rs. 1000 from one shop and 40 books for rs. 800 from another. what is the average price he paid per book?
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[Assistant] 20

[User]
in a hostel there were 100 students. to accommodate 40 more students the average is decreased by rupees 10. but total expenditure decreased by rs. 400. find the total expenditure of the hostel now?
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[Assistant] 2100

[User]
the radius of a cone is 8 m, height 6 m. find the slant height?
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[Assistant] 10

[User]
a store ’ s selling price of $ 2500 for a certain computer would yield a profit of 40 percent of the store ’ s cost for the computer. what selling price would yield a profit of 50 percent of the computer ’ s cost?
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[Assistant] $ 2678

[User]
what is the number of integers from 1 to 1000 ( inclusive ) that are divisible by neither 10 nor by 35?
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[Assistant] 910


[User]
the average age of applicants for a new job is 31, with a standard deviation of 9. the hiring manager is only willing to accept applications whose age is within one standard deviation of the average age. what is the maximum number of different ages of the applicants?
Answer the question using a single word or phrase.

[Assistant] 19

[User]
a man walks at a rate of 10 mph. after every ten miles, he rests for 8 minutes. how much time does he take to walk 50 miles?
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[Assistant] 332

[User]
what is the leastvalue of x. so that 45 x 09 is divisible by 3?
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[Assistant] 0

[User]
roja and pooja start moving in the opposite directions from a pole. they are moving at the speeds of 6 km / hr and 3 km / hr respectively. after 4 hours what will be the distance between them?
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[Assistant] 36 km

[User]
the price of a book is increased from $ 300 to $ 360. what is the % of increase in its price?
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[Assistant] 20 %


[User]
the simple interest on rs. 26 for 6 months at the rate of 7 paise per rupeeper month is
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[Assistant] 10.92

[User]
ms. mary sold two properties, x and y, for $ 25000 each. she sold property x for 20 % more than she paid for it and sold property y for 20 % less than she paid for it. if expenses are disregarded, what was her total net gain or loss, if any, on the two properties?
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[Assistant] $ 2083.33

[User]
harold and millicent are getting married and need to combine their already - full libraries. if harold, who has 1 / 2 as many books as millicent, brings 1 / 3 of his books to their new home, then millicent will have enough room to bring 1 / 3 of her books to their new home. what fraction of millicent's old library capacity is the new home's library capacity?
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[Assistant] 1 / 2

[User]
an engineer undertakes a project to build a road 10 km long in 150 days and employs 30 men for the purpose. after 50 days, he finds only 2 km of the road has been completed. find the ( approximate ) number of extra men he must employ to finish the work in time.
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[Assistant] 30

[User]
a train travels at the rate of 10 miles / hr for the first hour of a trip, at 20 miles / hr for the second hour, at 30 miles / hr for the third hour and so on. how many hours will it take the train to complete a 280 - mile journey? assume that the train makes no intermediate stops.
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[Assistant] 7


[User]
the ratio of the ages of mini and minakshi is 4 : 3. the sum of their ages is 28 years. the ratio of their ages after 8 years will be
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[Assistant] 6 : 5

[User]
a certain junior class has 1000 students and a certain senior class has 600 students. among these students, there are 60 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 will be a sibling pair?
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[Assistant] 1 / 1000

[User]
what is the difference between the place values of two 1's in the numeral 135.21
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[Assistant] 99.99

[User]
a bottle contains a certain solution. in the bottled solution, the ratio of water to soap is 3 : 2, and the ratio of soap to salt is four times this ratio. the solution is poured into an open container, and after some time, the ratio of water to soap in the open container is halved by water evaporation. at that time, what is the ratio of water to salt in the solution?
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[Assistant] 36 : 8

[User]
if x + ( 1 / x ) = 5, what is the value of e = x ^ 2 + ( 1 / x ) ^ 2?
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[Assistant] e = 23


[User]
find the smallest number of five digits exactly divisible by 16, 24,36 and 54.
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[Assistant] 10368

[User]
8 is 4 % of a, and 4 is 8 % of b. c equals b / a. what is the value of c?
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[Assistant] 1 / 4

[User]
the average weight of a group of 30 friends increases by 10 kg when the weight of additional 30 friends was added. if average weight of the whole group after including the additional 30 members is 40 kg, what is the average weight of the additional friends?
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[Assistant] 50 kg

[User]
sum of two numbers is 50. two times of the difference of first and seceond is 20. then the numbers will be?
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[Assistant] 30, 20

[User]
the price of an item is discounted 10 percent on day 1 of a sale. on day 2, the item is discounted another 10 percent, and on day 3, it is discounted an additional 25 percent. the price of the item on day 3 is what percentage of the sale price on day 1?
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[Assistant] 67.5 %


[User]
if the average ( arithmetic mean ) of a and b is 110, and the average of b and c is 160, what is the value of a − c?
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[Assistant] − 100

[User]
if a and b are the roots of the equation x 2 - 7 x + 7 = 0, then the value of a 2 + b 2 is :
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[Assistant] 35

[User]
each machine of type a has 4 steel parts and 2 chrome parts. each machine of type b has 2 steel parts and 1 chrome parts. if a certain group of type a and type b machines has a total of 30 steel parts and 33 chrome parts, how many machines are in the group
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[Assistant] 16

[User]
there are 750 male and female participants in a meeting. half the female participants and one - quarter of the male participants are democrats. one - third of all the participants are democrats. how many of the democrats are female?
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[Assistant] 125

[User]
if m = 3 ^ n, what is the greatest value of n for which m is a factor of 16!
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[Assistant] 6


[User]
if 25 % of x is 5 less than 10 % of 500, then x is?
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[Assistant] 180

[User]
two cyclist start on a circular track from a given point but in opposite direction with speeds of 7 m / s and 8 m / s. if the circumference of the circle is 675 meters, after what time will they meet at the starting point?
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[Assistant] 45 sec

[User]
if x and y are integers such that ( x + 1 ) ^ 2 is less than or equal to 16 and ( y - 1 ) ^ 2 is less than 64, what is the sum of the maximum possible value of xy and the minimum possible value of xy?
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[Assistant] - 10

[User]
what is the least possible value of expression e = ( x - 1 ) ( x - 3 ) ( x - 4 ) ( x - 6 ) + 10 for real values of x?
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[Assistant] 1

[User]
a and b can finish a work in 12 days while a alone can do the same work in 20 days. in how many days b alone will complete the work?
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[Assistant] 30 days


[User]
if jake loses 8 pounds, he will weigh twice as much as his sister. together they now weigh 290 pounds. what is jake ’ s present weight, in pounds?
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[Assistant] 196

[User]
how many integers from 0 to 59, inclusive, have a remainder of 1 when divided by 3?
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[Assistant] 20

[User]
david works at a science lab that conducts experiments on bacteria. the population of the bacteria multiplies at a constant rate, and his job is to notate the population of a certain group of bacteria each hour. at 1 p. m. on a certain day, he noted that the population was 2,500 and then he left the lab. he returned in time to take a reading at 4 p. m., by which point the population had grown to 160,000. now he has to fill in the missing data for 2 p. m. and 3 p. m. what was the population at 3 p. m.?
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[Assistant] 40,000

[User]
on a trip covering 850 km, a bicyclist travels the first 400 km at 20 km per hour and the remainder of the distance at 15 km per hour. what is the average speed, in km per hour, for the entire trip?
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[Assistant] 17.0

[User]
the manager of a produce market purchased a quantity of tomatoes for $ 0.80 per pound. due to improper handling, 15 percent of the tomatoes, by weight, were ruined and discarded. at what price per pound should the manager sell the remaining tomatoes if she wishes to make a profit on the sale of the tomatoes equal to 8 percent of the cost of the tomatoes.
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[Assistant] $ 1.02


[User]
the greatest number which on dividing 1642 and 1856 leaves remainders 6 and 4 respectively, is :
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[Assistant] 4

[User]
marcella has 27 pairs of shoes. if she loses 9 individual shoes, what is the greatest number of matching pairs she could have left?
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[Assistant] 22

[User]
how many 3 - digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and none of the digits is repeated?
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[Assistant] 20

[User]
a man invests some money partly in 12 % stock at 105 and partly in 8 % stock at 88. to obtain equal dividends from both, he must invest the money in the ratio.
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[Assistant] 35 : 44

[User]
a woman invested $ 1,000, part at 5 % and the rest at 6 %. her total investment with interest at the end of the year was $ 1,055. how much did she invest at 5 %?
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[Assistant] $ 500


[User]
three numbers are in the ratio of 2 : 3 : 4 and their l. c. m. is 288. what is their h. c. f.?
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[Assistant] 24

[User]
a merchant sells an item at a 10 % discount, but still makes a gross profit of 20 percent of the cost. what percent of the cost would the gross profit on the item have been if it had been sold without the discount?
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[Assistant] 30 %

[User]
what decimal fraction is 70 ml of a litre?
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[Assistant] . 07

[User]
the average age of applicants for a new job is 20, with a standard deviation of 8. the hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age. assuming that all applicants'ages are integers and that the endpoints of the range are included, what is the maximum number of different ages of the applicants?
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[Assistant] 17

[User]
p, q and r have $ 7000 among themselves. r has two - thirds of the total amount with p and q. find the amount with r?
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[Assistant] 2800


[User]
in the xy - plane the point ( - 2 - 3 ) is the centre of a circle, the point ( - 2, 2 ) lies inside the circle and the point ( 4, - 3 ) lies outside the circle. if the radius r of the circle r is an integer then r =
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[Assistant] 5.5

[User]
p and q started a business investing rs 85000 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] 17 : 3

[User]
in one alloy there is 15 % chromium while in another alloy it is 8 %. 15 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.
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[Assistant] 10.1 %

[User]
working alone, sawyer finishes cleaning half the house in a third of the time it takes nick to clean the entire house alone. sawyer alone cleans the entire house in 6 hours. how many hours will it take nick and sawyer to clean the entire house if they work together?
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[Assistant] 3.6

[User]
if x is 30 percent greater than 88, then x =
Answer the question using a single word or phrase.

[Assistant] 114.4


[User]
find value for x from below equation? x + 1 = 5
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[Assistant] 4

[User]
what least number should be added to 1015, so that the sum is completely divisible by 25?
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[Assistant] 10

[User]
the population of a city increases @ 4 % p. a. there is an additional annual increase of 4 % of the population due to the influx of job seekers, find the % increase in population after 2 years?
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[Assistant] 16.64 %

[User]
the sum of even numbers between 1 and 31 is :
Answer the question using a single word or phrase.

[Assistant] 240

[User]
a whale goes on a feeding frenzy that lasts for 9 hours. for the first hour he catches and eats x kilos of plankton. in every hour after the first, it consumes 3 kilos of plankton more than it consumed in the previous hour. if by the end of the frenzy the whale will have consumed a whopping accumulated total 450 kilos of plankton, how many kilos did he consume on the sixth hour?
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[Assistant] 53


[User]
the average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 55 kg. what might be the weight of the new person?
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[Assistant] 75 kg

[User]
income and expenditure of a person are in the ratio 5 : 4. if the income of the person is rs. 17000, then find his savings?
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[Assistant] 3400

[User]
a store reduced the price of all items in the store by 8 % on the first day and by another 10 % on the second day. the price of items on the second day was what percent of the price before the first reduction took place?
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[Assistant] 82.8

[User]
out of 470 students of a school, 325 play football, 175 play cricket and 50 neither play football nor cricket. how many students play both football and cricket?
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[Assistant] 80

[User]
in a class of 60 students 41 are taking french, 22 are taking german. of the students taking french or german, 9 are taking both courses. how many students are not enrolled in either course?
Answer the question using a single word or phrase.

[Assistant] 6


[User]
tom and linda stand at point a. linda begins to walk in a straight line away from tom at a constant rate of 4 miles per hour. one hour later, tom begins to jog in a straight line in the exact opposite direction at a constant rate of 9 miles per hour. if both tom and linda travel indefinitely, what is the positive difference, in minutes, between the amount of time it takes tom to cover half of the distance that linda has covered and the amount of time it takes tom to cover twice the distance that linda has covered?
Answer the question using a single word or phrase.

[Assistant] 216

[User]
in 1998 the profits of company n were 10 percent of revenues. in 1999, the revenues of company n fell by 30 percent, but profits were 10 percent of revenues. the profits in 1999 were what percent of the profits in 1998?
Answer the question using a single word or phrase.

[Assistant] 70 %

[User]
p is able to do a piece of work in 15 days and q can do the same work in 20 days. if they can work together for 4 days, what is the fraction of work left?
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[Assistant] 8 / 15

[User]
of the five - digit positive integers that have no digits equal to zero, how many have two digits that are equal to each other and the remaining digit different from the other two?
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[Assistant] 181440

[User]
when processing flower - nectar into honey bees'extract, a considerable amount of water gets reduced. how much flower - nectar must be processed to yield 1 kg of honey, if nectar contains 50 % water, and the honey obtained from this nectar contains 30 % water?
Answer the question using a single word or phrase.

[Assistant] 1.4 kg


[User]
for any integer m greater than 1, $ m denotes the product of all the integers from 1 to m, inclusive. how many prime numbers are there between $ 7 + 2 and $ 7 + 10, inclusive?
Answer the question using a single word or phrase.

[User]
excluding stoppages, the speed of a train is 50 kmph and including stoppages it is 30 kmph. of how many minutes does the train stop per hour?
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[Assistant] 24

[User]
find the constant k so that : - x 2 - ( k + 9 ) x - 8 = - ( x - 2 ) ( x - 4 )
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[Assistant] 15

[User]
a 230 m long train running at the speed of 120 km / hr crosses another train running in opposite direction at the speed of 80 km / hr in 9 sec. what is the length of the other train?
Answer the question using a single word or phrase.

[Assistant] 270

[User]
a candidate who gets 40 % of the marks fails by 40 marks. but another candidate who gets 60 % marks gets 20 marks more than necessary for passing. find the number of marks for passing?
Answer the question using a single word or phrase.

[Assistant] 160 marks


[User]
two numbers are in the ratio of 1 : 2. if 10 be added to both, their ratio changes to 3 : 5. the greater number is
Answer the question using a single word or phrase.

[Assistant] 40

[User]
the length of the bridge, which a train 100 metres long and travelling at 45 km / hr can cross in 30 seconds, is :
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[Assistant] 275

[User]
a train running at the speed of 90 km / hr crosses a pole in 9 sec. what is the length of the train?
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[Assistant] 225

[User]
rs. 850 is divided so that 4 times the first share, twice the 2 nd share and twice the third share amount to the same. what is the value of the first share?
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[Assistant] s 170

[User]
solve for x and check : 6 x = 54
Answer the question using a single word or phrase.

[Assistant] 9


[User]
jackie has two solutions that are 2 percent sulfuric acid and 12 percent sulfuric acid by volume, respectively. if these solutions are mixed in appropriate quantities to produce 60 liters of a solution that is 5 percent sulfuric acid, approximately how many liters of the 12 percent solution will be required?
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[Assistant] 18

[User]
excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 36 kmph. of how many minutes does the train stop per hour?
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[Assistant] 12

[User]
one - fourth of a number is greater than one - fifth of the number succeeding it by 1. find the number.
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[Assistant] 24

[User]
working at their respective constant rates, machine a makes 100 copies in 20 minutes and machine b makes 150 copies in 10 minutes. if these machines work simultaneously at their respective rates for 30 minutes, what is the total number of copies that they will produce?
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[Assistant] 600

[User]
a car gets 40 kilometers per gallon of gasoline. how many gallons of gasoline would the car need to travel 160 kilometers?
Answer the question using a single word or phrase.

[Assistant] 4 gallons


[User]
the average of 10 result is 42. average of the first 7 of them is 30 and that of the last 7 is 80. find the 8 th result?
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[Assistant] 70

[User]
a certain boxer has agreed to pay his opponent a fee of 3 % of his total purse for every pound over the specified weight limit he weighs in. if the boxer pays his opponent a fee of $ 26250 after weighing in 7 pounds over the specified limit, what was the boxer's purse?
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[Assistant] $ 125,000

[User]
- 64 x 29 + 165 =?
Answer the question using a single word or phrase.

[Assistant] - 1601

[User]
if ( c - a ) / ( c - b ) = 1, then ( 5 b - 4 a ) / ( c - a ) =
Answer the question using a single word or phrase.

[Assistant] 0.5

[User]
two trains of length 100 m and 120 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. in what time will they be clear of each other from the moment they meet?
Answer the question using a single word or phrase.

[Assistant] 11 sec


[User]
in an examination, a student scores 3 marks for every correct answer and loses 2 marks for every wrong answer. if he attempts all 100 questions and secures 300 marks, the number of questions he attempts correctly, is :
Answer the question using a single word or phrase.

[Assistant] 100

[User]
what is the % change in the area of a rectangle when its length increases by 30 % and its width decreases by 30 %?
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[Assistant] 9 % decrease

[User]
points a, b, c, and d, in that order, lie on a line. if ab = 3 cm, ac = 4 cm, and bd = 9 cm, what is cd, in centimeters?
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[Assistant] 8

[User]
robert is travelling on his cycle andhas calculated to reach point a at 2 pm. if he travels at 10 kmph, he will reach there at 12 pm if he travels at 15 kmph. at what speed musthe travel to reach a at 1 pm?
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[Assistant] 12 kmph

[User]
find the value of m 32519 x 9999 = m?
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[Assistant] 325157481


[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 $ 252 per week. how much does she earn in dollars per hour?
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[Assistant] 7

[User]
a can run 4 times as fast as b and gives b a start of 66 m. how long should the race course be so that a and b might reach in the same time?
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[Assistant] 88 m

[User]
how many multiples of 5 are there between 5 to 105?
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[Assistant] 19

[User]
a and b go around a circular track of length 600 m on a cycle at speeds of 30 kmph and 54 kmph. after how much time will they meet for the first time at the starting point?
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[Assistant] 360 sec

[User]
by selling an article at rs. 800, a shopkeeper makes a profit of 25 %. at what price should he sell the article so as to make a loss of 20 %?
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[Assistant] 512


[User]
the length of a rectangular plot is 20 metres more than its breadth. if the cost of fencing the plot @ rs. 26.50 per metre is rs. 9540, what is the length of the plot in metres?
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[Assistant] 100

[User]
what is the greatest of 3 consecutive integers whose sum is 36?
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[Assistant] 13

[User]
each of the 43 points is placed either inside or on the surface of a perfect sphere. if 16 % or fewer of the points touch the surface, what is the maximum number of segments which, if connected from those points to form chords, could be the diameter of the sphere?
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[Assistant] 3

[User]
xavier starts from p towards q at a speed of 60 kmph and after every 12 mins increases his speed by 10 kmph. if the distance between p and q is 60 km, then how much time does he take to cover the distance?
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[Assistant] 48

[User]
a & b started a partnership business. a's investment was thrice the investment of b and the period of his investment was two times the period of investments of b. if b received rs 6000 as profit, what is their total profit?
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[Assistant] 42000


[User]
the average of 5 quantities is 11. the average of 3 of them is 4. what is the average of remaining 2 numbers?
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[Assistant] 21.5

[User]
10 % of a number is added to 45, the result is the same number. find the number?
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[Assistant] 50

[User]
if 4 x + y + z = 80, 2 x - y - z = 4003 x + y - z = 20 for integers of x, y and z, find x =?
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[Assistant] 20

[User]
calculate how much time could be saved if the train would run at its usual speed, given that it ran at 5 / 7 of its own speed and got to its destination in 15 hours?
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[Assistant] 4.29 hrs

[User]
find the average of first 10 multiples of 7
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[Assistant] 38.5


[User]
two numbers are in the ratio 3 : 5. if 9 be subtracted from each, they are in the ratio of 9 : 17. the first number?
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[Assistant] 36

[User]
john makes $ 30 a week from his job. he earns a raise and now makes $ 40 a week. what is the % increase?
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[Assistant] 33.33 %

[User]
a truck covers a distance of 550 metres in 1 minute whereas a bus covers a distance of 33 kms in 45 minutes. the ratio of their speeds is?
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[Assistant] 3 : 4

[User]
a particular library has 150 books in a special collection, all of which were in the library at the beginning of the month. these book are occasionally loaned out through an inter - library program. if, by the end of the month, 65 percent of books that were loaned out are returned and there are 122 books in the special collection at that time, how many books of the special collection were loaned out during that month?
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[Assistant] 80

[User]
a batsman in his 12 th innings makes a score of 48 and thereby increases his average by 2 runs. what is his average after the 12 th innings if he had never been ‘ not out ’?
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[Assistant] 26


[User]
the average of 1 st 3 of 4 numbers is 7 and of the last 3 are 5. if the sum of the first and the last number is 13. what is the last numbers?
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[Assistant] 3.5

[User]
the size of a flat - screen television is given as the length of the screen ’ s diagonal. how many square inches greater is the screen of a square 24 - inch flat - screen television than a square 17 - inch flat - screen television?
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[Assistant] 143.5

[User]
the average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. what might be the weight of the new person?
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[Assistant] 85 kg

[User]
a, b, and c are integers and a < b < c. s is the set of all integers from a to b, inclusive. q is the set of all integers from b to c, inclusive. the median of set s is ( 3 / 4 ) * b. the median of set q is ( 6 / 8 ) * c. if r is the set of all integers from a to c, inclusive, what fraction of c is the median of set r?
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[Assistant] 5 / 8

[User]
line q has the equation 5 y – 3 x = 75. if line s is perpendicular to q, has an integer for its y - intercept, and intersects q in the second quadrant, then how many possible line s ’ s exist? ( note : intersections on one of the axes do not count. )
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[Assistant] 56


[User]
a rectangular tank needs to be coated with insulation. the tank has dimensions of 3 feet, 5 feet, and 2 feet. each square foot of insulation costs $ 20. how much will it cost to cover the surface of the tank with insulation?
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[Assistant] $ 1240

[User]
a shopkeeper sold an article for rs 2564.36. approximately what was his profit percent if the cost price of the article was rs 2300
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[Assistant] 12 %

[User]
in a recent election, geoff received 0.5 percent of the 6000 votes cast. to win the election, a candidate needed to receive more than x % of the vote. if geoff needed exactly 3000 more votes to win the election, what is the value of x?
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[Assistant] 50.5

[User]
a certain electric - company plan offers customers reduced rates for electricity used between 8 p. m. and 8 a. m. weekdays and 24 hours a day saturdays and sundays. under this plan, the reduced rates w apply to what fraction of a week?
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[Assistant] 9 / 14

[User]
the sum of two consecutive number is 115. which is the larger number?
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[Assistant] 58


[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 p in the liquid in the tank after 3 minutes?
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[Assistant] 3 / 8

[User]
if difference between compound interest and simple interest on a sum at 10 % p. a. for 2 years is rs. 36 then sum is
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[Assistant] s. 3600

[User]
the ratio of ducks and frogs in a pond is 31 : 39 respectively. the average number of ducks and frogs in the pond is 152. what is the number of frogs in the pond?
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[Assistant] 169

[User]
x is a positive number which when increased by 17 is equal to 60 times the reciprocal of the number. find value of x?
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[Assistant] 3

[User]
a man invests rs. 6,000 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. 3000