[User]
how many multiples of 2 are there between 101 and 999?
Answer the question using a single word or phrase.

[Assistant] 449

[User]
find the smallest number which when divided by 13 and 16 leaves respective remainders of 2 and 5.
Answer the question using a single word or phrase.

[Assistant] 197

[User]
how much is 80 % of 40 is greater than 4 / 5 of 20?
Answer the question using a single word or phrase.

[Assistant] 16

[User]
if the price of sugar rises from rs. 10 per kg to rs. 13 per kg, a person, to have no increase in the expenditure on sugar, will have to reduce his consumption of sugar by
Answer the question using a single word or phrase.

[Assistant] 23 %

[User]
a train crosses a bridge of length 800 m in 45 seconds and a lamp post on the bridge in 15 seconds. what is the length of the train in metres?
Answer the question using a single word or phrase.

[Assistant] 400 m


[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 20 percent. the price of the item on day 3 is what percentage of the sale price on day 1?
Answer the question using a single word or phrase.

[Assistant] 72 %

[User]
the sum of three consecutive numbers is 87. the greatest among these three number is :
Answer the question using a single word or phrase.

[Assistant] 30

[User]
a train travels 290 km in 4.5 hours and 400 km in 5.5 hours. find the average speed of train.
Answer the question using a single word or phrase.

[Assistant] 69 kmph

[User]
what is the average of 12, 13, 14, 510, 520, 530, 1,115, 1,120, and 1, 125,2140, 2345?
Answer the question using a single word or phrase.

[Assistant] 858.54

[User]
when a certain tree was first planted, it was 4 feet tall, and the height of the tree increased by a constant amount each year for the next 6 years. at the end of the 6 th year, the tree was 1 / 3 taller than it was at the end of the 4 th year. by how many feet did the height of the tree increase each year?
Answer the question using a single word or phrase.

[Assistant] 2


[User]
how many integerskgreater than 100 and less than 800 are there such that if the hundreds and the units digits ofkare reversed, the resulting integer is k + 99?
Answer the question using a single word or phrase.

[Assistant] 60

[User]
local kennel has cats and dogs in the ratio of 5 : 10. if there are 40 fewer cats than dogs, how many dogs are in the kennel?
Answer the question using a single word or phrase.

[Assistant] 80

[User]
for how many unique pairs of nonnegative integers { a, b } is the equation a ^ 2 - b ^ 2 = 45 true?
Answer the question using a single word or phrase.

[Assistant] 3

[User]
if the number 892, 142,24 x is divisible by 11, what must be the value of x?
Answer the question using a single word or phrase.

[Assistant] 0

[User]
a 20 litre mixture of milk and water contains milk and water in the ratio 3 : 2. 10 litres of the mixture is removed and replaced with pure milk and the operation is repeated once more. at the end of the two removal and replacement, what is the ratio w of milk and water in the resultant mixture?
Answer the question using a single word or phrase.

[Assistant] 9 : 1


[User]
of the families in city x in 1992, 60 percent owned a personal computer. the number of families in city x owning a computer in 1993 was 50 percent greater than it was in 1992, and the total number of families in city x was 3 percent greater in 1993 than it was in 1992. what percent of the families in city x owned a personal computer in 1993?
Answer the question using a single word or phrase.

[Assistant] 87.37 %

[User]
find the value of ( √ 1.21 ) / ( √ 0.81 ) + ( √ 1.00 ) / ( √ 0.49 ) is
Answer the question using a single word or phrase.

[Assistant] 2.65

[User]
louie takes out a 3 - month loan of $ 1000. the lender charges him 10 % interest per month compounded monthly. the terms of the loan state that louie must repay the loan in 3 equal monthly payments. to the nearest dollar, how much does louis have to pay each month?
Answer the question using a single word or phrase.

[Assistant] 402

[User]
if the perimeter of a rectangular garden is 600 m, its length when its breadth is 200 m is?
Answer the question using a single word or phrase.

[Assistant] 100 m

[User]
rs 3000 is divided into two parts such that one part is put out at 3 % and the other at 5 %. if the annual interest earned from both the investments be rs 144, find the first part.
Answer the question using a single word or phrase.

[Assistant] s 300


[User]
the area of a square is equal to three times the area of a rectangle of dimensions 3 cm * 9 cm. what is the perimeter of the square?
Answer the question using a single word or phrase.

[Assistant] 36

[User]
a machine, working at a constant rate, manufactures 18 dies in 25 minutes. how many dies does it make in 1 hr 15 min?
Answer the question using a single word or phrase.

[Assistant] 54

[User]
find the maximum value of n such that 50! is perfectly divisible by 2520 ^ n
Answer the question using a single word or phrase.

[Assistant] 8

[User]
the h. c. f. of two numbers is 12 and their l. c. m. is 520. if one of the numbers is 480, then the other is :
Answer the question using a single word or phrase.

[Assistant] 13

[User]
in an election between two candidates, the first candidate got 80 % of the votes and the second candidate got 240 votes. what was the total number of votes?
Answer the question using a single word or phrase.

[Assistant] 1200


[User]
how many of the positive factors of 19 are not factors of 29?
Answer the question using a single word or phrase.

[Assistant] 1

[User]
a retailer buys a radio for rs 225. his overhead expenses are rs 30. he sellis the radio for rs 300. the profit percent of the retailer is
Answer the question using a single word or phrase.

[Assistant] 17.6 %

[User]
the number of boxes in a warehouse can be divided evenly into 6 equal shipments by boat or 27 equal shipments by truck. what is the smallest number of boxes that could be in the warehouse?
Answer the question using a single word or phrase.

[Assistant] 54

[User]
if it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 210 responses are needed, what is the minimum number of questionnaires that should be mailed?
Answer the question using a single word or phrase.

[Assistant] 350

[User]
96 % of the population of a city is 23040. find the total population of the city?
Answer the question using a single word or phrase.

[Assistant] 24000


[User]
the average weight of 10 men is increased by 2 ½ kg when one of the men who weighs 58 kg is replaced by a new man. what is the weight of the new man?
Answer the question using a single word or phrase.

[Assistant] 83 kg

[User]
if 6 log ( 4 * 5 ^ 2 ) = x, find x
Answer the question using a single word or phrase.

[Assistant] 12

[User]
in the rectangular coordinate system, what is the x - intercept of a line passing through ( 10, 3 ) and ( − 10, − 7 )?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
the price of a t. v. set worth rs. 40000 is to be paid in 20 installments of rs. 2500 each. if the rate of interest be 6 % per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be?
Answer the question using a single word or phrase.

[Assistant] 37500

[User]
when greenville state university decided to move its fine arts collection to a new library, it had to package the collection in 20 - inch by 20 - inch by 12 - inch boxes. if the university pays $ 0.50 for every box, and if the university needs 2.4 million cubic inches to package the collection, what is the minimum amount the university must spend on boxes?
Answer the question using a single word or phrase.

[Assistant] $ 250


[User]
boy sells a book for rs. 450 he gets a loss of 10 %, to gain 10 %, what should be the sp?
Answer the question using a single word or phrase.

[Assistant] rs. 550

[User]
in country z, 10 % of the people do not have a university diploma but have the job of their choice, and 25 % of the people who do not have the job of their choice have a university diploma. if 20 % of the people have the job of their choice, what percent of the people have a university diploma?
Answer the question using a single word or phrase.

[Assistant] 30 %

[User]
a batsman makes a score of 84 runs in the 17 th inning and thus increases his averages by 3. find his average after 17 th inning?
Answer the question using a single word or phrase.

[Assistant] 36

[User]
of the 120 passengers on flight 750, 40 % are female. 10 % of the passengers sit in first class, and the rest of the passengers sit in coach class. if 1 / 3 of the passengers in first class are male, how many females are there in coach class?
Answer the question using a single word or phrase.

[Assistant] 40

[User]
the maximum numbers of students among them 451 pens and 410 toys can be distributed in such a way that each student gets the same number of pens and same number of toys is
Answer the question using a single word or phrase.

[Assistant] 41


[User]
find the average of all the numbers between 4 and 32 which are divisible by 5.
Answer the question using a single word or phrase.

[Assistant] 17.5

[User]
if @ is a binary operation defined as the difference between an integer n and the product of n and 5, then what is the largest positive integer n such that the outcome of the binary operation of n is less than 18?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
a runs twice as fast as b and gives b a start of 60 m. how long should the racecourse be so that a and b might reach in the same time?
Answer the question using a single word or phrase.

[Assistant] 120 m.

[User]
how long does a train 100 m long running at the speed of 80 km / hr takes to cross a bridge 142 m length?
Answer the question using a single word or phrase.

[Assistant] 10.9 sec

[User]
a can complete a project in 20 days and b can complete the same project in 30 days. if a and b start working on the project together and a quits 5 days before the project is completed, in how many days total will the project be completed?
Answer the question using a single word or phrase.

[Assistant] 15


[User]
angelo and isabella are both salespersons. in any given week, angelo makes $ 580 in base salary plus 8 percent of the portion of his sales above $ 1,000 for that week. isabella makes 10 percent of her total sales for any given week. for what amount of weekly sales would angelo and isabella earn the same amount of money?
Answer the question using a single word or phrase.

[Assistant] 25,000

[User]
a dessert recipe calls for 50 % melted chocolate and 50 % raspberry puree to make a particular sauce. a chef accidentally makes 15 cups of the sauce with 30 % melted chocolate and 70 % raspberry puree instead. how many cups of the sauce does he need to remove and replace with pure melted chocolate to make the sauce the proper 50 % of each?
Answer the question using a single word or phrase.

[Assistant] 2.14

[User]
the price of commodity x increases by 45 cents every year, while the price of commodity y increases by 20 cents every year. in 2001, the price of commodity x was $ 5.20 and the price of commodity y was $ 7.30. in which year will the price of commodity x be 35 cents less than the price of commodity y?
Answer the question using a single word or phrase.

[Assistant] 2008

[User]
if log 1087.5 = 1.9421, then the number of digits in ( 875 ) 10 is?
Answer the question using a single word or phrase.

[Assistant] 30

[User]
a river 4 m deep and 65 m wide is flowing at the rate of 6 kmph the amount of water that runs into the sea per minute is?
Answer the question using a single word or phrase.

[Assistant] 26000


[User]
in a garden, there are 10 rows and 17 columns of mango trees. the distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden. the length of the garden is
Answer the question using a single word or phrase.

[Assistant] 34 m

[User]
a person spent rs. 6,040 from his salary on food and 8,000 on house rent. after that he was left with 70 % of his monthly salary. what is his monthly salary?
Answer the question using a single word or phrase.

[Assistant] 46,800

[User]
a basketball is dropped from a height of 40 feet. if it bounces back up to a height that is exactly half of its previous height, and it stops bouncing after hitting the ground for the fourth time, then how many total feet will the ball have traveled after 3 full bounces.
Answer the question using a single word or phrase.

[Assistant] 110

[User]
80 370 860 1550? 3530
Answer the question using a single word or phrase.

[Assistant] 2440

[User]
a sum fetched a total simple interest of 4052.25 at the rate of 9 %. p. a. in 5 years. what is the sum?
Answer the question using a single word or phrase.

[Assistant] 9005


[User]
a rotameter is a device that measures flow of liquid and gases. when measuring liquid phase flows, 2.5 inches represent 60 liters per minute of liquid. with gas measurements the rotameter moves 50 % of the movement he moves with the liquid phase. how many liters of gas passed through the rotameter if it measured 4 inches?
Answer the question using a single word or phrase.

[Assistant] 192

[User]
if a trader sold two cars each at rs. 325475 and gains 10 % on the first and loses 10 % on the second, then his profit or loss percent on the whole is?
Answer the question using a single word or phrase.

[Assistant] 1.00 %

[User]
how many positive integers less than 130 are there such that they are multiples of 13 or multiples of 12 but not both?
Answer the question using a single word or phrase.

[Assistant] 20

[User]
the marks obtained by polly and sandy are in the ratio 5 : 6 and those obtained by sandy and willy are in the ratio of 3 : 2. the marks obtained by polly and willy are in the ratio of...?
Answer the question using a single word or phrase.

[Assistant] 5 : 4

[User]
what is the greatest positive integer x such that 3 ^ x is a factor of 9 ^ 7?
Answer the question using a single word or phrase.

[Assistant] 14


[User]
if 70 percent of a class answered the first question on a certain test correctly, 55 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly?
Answer the question using a single word or phrase.

[Assistant] 45 %

[User]
each machine of type a has 3 steel parts and 2 chrome parts. each machine of type b has 2 steel parts and 4 chrome parts. if a certain group of type a and type b machines has a total of 50 steel parts and 66 chrome parts, how many machines are in the group
Answer the question using a single word or phrase.

[Assistant] 21

[User]
a batsman in his 12 th innings makes a score of 75 and thereby increases his average by 1 runs. what is his average after the 12 th innings if he had never been ‘ not out ’?
Answer the question using a single word or phrase.

[Assistant] 64

[User]
students at a school were on average 180 cm tall. the average female height was 170 cm, and the average male height was 188 cms. what was the ratio of men to women?
Answer the question using a single word or phrase.

[Assistant] 5 : 4

[User]
the average ( arithmetic mean ) of the integers from 100 to 200, inclusive, is how much lesser than the average of the integers from 150 to 950, inclusive?
Answer the question using a single word or phrase.

[Assistant] 400


[User]
the present ages of 3 persons are in the proportion of 4 : 7 : 9. 8 years ago, the sum of their ages was 116. find their present ages.
Answer the question using a single word or phrase.

[Assistant] 28, 49,63

[User]
a car traveling at a certain constant speed takes 5 seconds longer to travel 1 km than it would take to travel 1 km at 90 km / hour. at what speed, in km / hr, is the car traveling?
Answer the question using a single word or phrase.

[Assistant] 80

[User]
if the price of gasoline increases by 25 % and ron intends to spend only 15 % more on gasoline, by how much percent should he reduce the quantity of gasoline that he buys?
Answer the question using a single word or phrase.

[Assistant] 8 %

[User]
a rower can row 7 km / h in still water. when the river is running at 1 km / h, it takes the rower 1 hour to row to big rock and back. how many kilometers is it to big rock?
Answer the question using a single word or phrase.

[Assistant] 3.43

[User]
a cistern is normally filled in 4 hours but takes two hours longer to fill because of a leak in its bottom. if the cistern is full, the leak will empty it in?
Answer the question using a single word or phrase.

[Assistant] 12


[User]
25.25 / 1500 is equal to :
Answer the question using a single word or phrase.

[Assistant] 0.016833333

[User]
if jake loses 20 pounds, he will weigh twice as much as his sister. together they now weigh 224 pounds. what is jake ’ s present weight, in pounds?
Answer the question using a single word or phrase.

[Assistant] 156

[User]
in a certain lottery, the probability that a number between 12 and 20, inclusive, is drawn is 1 / 6. if the probability that a number 12 or larger is drawn is 1 / 2, what is the probability that a number less than or equal to 20 is drawn?
Answer the question using a single word or phrase.

[Assistant] 2 / 3

[User]
if the sides of a rectangle are increased by 15 %, what is the percentage increase in the area?
Answer the question using a single word or phrase.

[Assistant] 32.25 %

[User]
a fashion designer sold a pair of jeans to a retail store for 40 percent more than it cost to manufacture the pair of jeans. a customer bought the pair of jeans for 40 percent more than the retailer paid for them. the price the customer paid was what percent greater than the cost of manufacturing the jeans?
Answer the question using a single word or phrase.

[Assistant] 96 %


[User]
if 50 apprentices can finish a job in 4 hours, and 30 journeymen can finish the same job in 5,5 hours, how much of the job should be completed by 10 apprentices and 15 journeymen in one hour?
Answer the question using a single word or phrase.

[Assistant] 31 / 220

[User]
calculate the l. c. m of 1 / 5, 6 / 7, 5 / 6, 3 / 5 is :
Answer the question using a single word or phrase.

[Assistant] 30

[User]
find the average of all prime numbers between 1 and 10
Answer the question using a single word or phrase.

[Assistant] 4.25

[User]
the average age of a class of 20 students is 19 years. the average increased by 2 when the teacher's age also included. what is the age of the teacher?
Answer the question using a single word or phrase.

[Assistant] 41 years

[User]
there were 35 students in a hostel. due to the admission of 7 new students, ; he expenses of the mess were increased by rs. 42 per day while the average expenditure per head diminished by rs 1. wbat was the original expenditure of the mess?
Answer the question using a single word or phrase.

[Assistant] 420


[User]
the price of a tv was increased by 30 percent. the new price was then increased by 40 percent. a single increase of what percent is equivalent to these two successive increases?
Answer the question using a single word or phrase.

[Assistant] 82 %

[User]
terry is having lunch at a salad bar. there are two types of lettuce to choose from, as well as 3 types of tomatoes, and 4 types of olives. he must also choose whether or not to have one of the two types of soup on the side. if terry has decided to have the salad and soup combo and he picks one type of lettuce, one type of tomato, and one type of olive for his salad, how many total options does he have for his lunch combo?
Answer the question using a single word or phrase.

[Assistant] 48

[User]
what will be the reminder when ( 31 ^ 31 + 31 ) is divided by 32?
Answer the question using a single word or phrase.

[Assistant] 30

[User]
if m equals the sum of the odd integers from 1 to 111, inclusive, and t equals the sum of the even integers from 2 to 50, inclusive, what is the value of m + t?
Answer the question using a single word or phrase.

[Assistant] 3786

[User]
a meeting has to be conducted with 6 managers. find the number of ways in which the managers be selected from among 10 managers, if 2 managers will not attend the meeting together?
Answer the question using a single word or phrase.

[Assistant] 140


[User]
one train is travelling 45 kmph and other is at 10 meters a second. ratio of the speed of the two trains is?
Answer the question using a single word or phrase.

[Assistant] 5 : 4

[User]
in the xy - plane, a triangle has vertices ( 00 ), ( 40 ) and ( 410 ). if a point ( a, b ) is selected at random from the triangular region, what is the probability that a - b > 0?
Answer the question using a single word or phrase.

[Assistant] 2 / 5

[User]
a train 150 m long takes 6 sec to cross a man walking at 5 kmph in a direction opposite to that of the train. find the speed of the train?
Answer the question using a single word or phrase.

[Assistant] 85 kmph

[User]
working together, wayne and his son can shovel the entire driveway in 3 hours. if wayne can shovel 6 times as fast as his son can, how many hours would it take for his son to shovel the entire driveway on his own?
Answer the question using a single word or phrase.

[Assistant] 7

[User]
the cost of 10 kg of mangos is equal to the cost of 24 kg of rice. the cost of 6 kg of flour equals the cost of 2 kg of rice. the cost of each kg of flour is $ 21. find the total cost of 4 kg of mangos, 3 kg of rice and 5 kg of flour?
Answer the question using a single word or phrase.

[Assistant] 898.8


[User]
in a certain pond, 50 fish were caught, tagged, and returned to the pond. a few days later, 50 fish were caught again, of which 2 were found to have been tagged. if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond?
Answer the question using a single word or phrase.

[Assistant] 1,250

[User]
at a certain restaurant, the ratio of the number of cooks to the number of waiters is 3 to 10. when 12 more waiters are hired, the ratio of the number of cooks to the number of waiters changes to 3 to 14. how many cooks does the restaurant have?
Answer the question using a single word or phrase.

[Assistant] 9

[User]
the profit earned by selling an article for 912 is equal to the loss incurred when the same article is sold for 448. what should be the sale price of the article for making 50 per cent profit?
Answer the question using a single word or phrase.

[Assistant] 1020

[User]
working individually, julie can peel potatoes in 10 hours and ted can peel potatoes in 8 hours. if julie and ted work together but independently at the task for 4 hours, at which point ted leaves, how many remaining hours will it take julie to complete the task alone?
Answer the question using a single word or phrase.

[Assistant] 1

[User]
x is able to do a piece of work in 8 days and y can do the same work in 12 days. if they can work together for 3 days, what is the fraction of work left?
Answer the question using a single word or phrase.

[Assistant] 3 / 5


[User]
dawson is going with 14 friends on a trip to washington d. c for spring break. airfare and hotel costs a total of $ 13500.00 for the group of 15 friends. how much does each person have to pay for their hotel and airfare?
Answer the question using a single word or phrase.

[Assistant] $ 900

[User]
the batting average of a particular batsman is 60 runs in 46 innings. if the difference in his highest and lowest score is 190 runs and his average excluding these two innings is 58 runs, find his highest score.
Answer the question using a single word or phrase.

[Assistant] 199

[User]
the point a and point b is 30 miles apart, the point b and point c is 25 miles apart. a car travels from point a to point b in 30 min and point b to point c in 40 min. what is the average speed of the car?
Answer the question using a single word or phrase.

[Assistant] 47.14

[User]
0.009 / x = 0.025. find the value of x
Answer the question using a single word or phrase.

[Assistant] 0.3

[User]
at the moment there are 54210 tagged birds in a certain wildlife refuge. if exactly 30 percent of all birds in the refuge are tagged, what percent of the untagged birds must be tagged so that half of all birds in the refuge are tagged?
Answer the question using a single word or phrase.

[Assistant] 66.67


[User]
find the cost of fencing around a circular field of diameter 70 m at the rate of rs. 1 a meter?
Answer the question using a single word or phrase.

[Assistant] 220

[User]
the area of a square is equal to four times the area of a rectangle of dimensions 25 cm * 16 cm. what is the perimeter of the square?
Answer the question using a single word or phrase.

[Assistant] 160 cm

[User]
a train takes 10 sec to pass a signal post and covers a distance of 10 km in 15 min. find the length of train?
Answer the question using a single word or phrase.

[Assistant] 111.1 m

[User]
an amount of money is to be distributed among faruk, vasim and ranjith in the ratio 3 : 5 : 6. if vasims share is rs. 1500, what is the difference between faruk's and ranjith's shares?
Answer the question using a single word or phrase.

[Assistant] s 900

[User]
a farmer spent $ 34 on feed for chickens and goats. he spent 40 % money on chicken feed, which he bought at a 20 % discount off the full price, and spent the rest on goat feed, which he bought at full price. if the farmer had paid full price for both the chicken feed and the goat feed, what amount would he have spent on the chicken feed and goat feed combined?
Answer the question using a single word or phrase.

[Assistant] $ 37.40


[User]
a sum of rs. 312 was divided among 100 boys and girls in such a way that each boy gets rs. 3.60 and each girl rs. 2.40.
Answer the question using a single word or phrase.

[Assistant] 60

[User]
according to the direction on a can of frozen orange juice concentrate is to be mixed with 3 cans of water to make orange juice. how many 6 - ounce cans of the concentrate are required to prepare 200 6 - ounce servings of orange juice?
Answer the question using a single word or phrase.

[Assistant] 50

[User]
if the average ( arithmetic mean ) of a and b is 30 and the average of b and c is 60, what is the value of c − a?
Answer the question using a single word or phrase.

[Assistant] 60

[User]
on june 1 a bicycle dealer noted that the number of bicycles in stock had decreased by 4 for each of the past 5 months. if the stock continues to decrease at the same rate for the rest of the year, how many fewer bicycles will be in stock on november 1 than were in stock on january 1?
Answer the question using a single word or phrase.

[Assistant] 40

[User]
what is the minimum percentage increase in the mean of set f { - 4, - 1, 0, 6, 9 } if its two smallest elements are replaced with two different primes?
Answer the question using a single word or phrase.

[Assistant] 100 %


[User]
two numbers are 35 % and 42 % are less than a third number. how much percent is the second number less than the first?
Answer the question using a single word or phrase.

[Assistant] 10.769 %

[User]
john and roger can finish the work 24 days if they work together. they worked together for 16 days and then roger left. john finished the remaining work in another 16 days. in how many days john alone can finish the work?
Answer the question using a single word or phrase.

[Assistant] 48 days

[User]
there are 43 stations between ernakulam and chennai. how many second class tickets have to be printed, so that a passenger can travel from one station to any other station?
Answer the question using a single word or phrase.

[Assistant] 1980

[User]
if x and y are sets of integers, x # y denotes the set of integers that belong to set x or set y, but not both. if x consists of 12 integers, y consists of 18 integers, and 6 of the integers are in both x and y, then x # y consists of how many integers?
Answer the question using a single word or phrase.

[Assistant] 18

[User]
when a certain tree was first planted, it was 4 feet tall, and the height of the tree increased by a constant amount each year for the next 6 years. at the end of the 6 th year, the tree was 1 / 6 taller than it was at the end of the 4 th year. by how many feet did the height of the tree increase each year?
Answer the question using a single word or phrase.

[Assistant] 1 / 2


[User]
with a uniform speed a car covers the distance in 8 hours. had the speed been increased by 3 km / hr, the same distance could have been covered in 7 1 / 2 hours. what is the distance covered?
Answer the question using a single word or phrase.

[Assistant] 360 km

[User]
for any integer n greater than 1, # n denotes the product of all the integers from 1 to n, inclusive. how many prime numbers q are there between # 6 + 2 and # 6 + 6, inclusive?
Answer the question using a single word or phrase.

[User]
what is the remainder when 1271 * 1275 * 1277 * 1285 is divided by 12?
Answer the question using a single word or phrase.

[Assistant] 9

[User]
a dishonest dealer professes to sell goods at the cost price but uses a weight of 500 grams per kg, what is his percent?
Answer the question using a single word or phrase.

[Assistant] 100 %

[User]
( 7895632 x 881 ) =?
Answer the question using a single word or phrase.

[Assistant] 6956051792


[User]
solve the equation for x : 8 x - 40 + 2 x = 5 + 10 - x
Answer the question using a single word or phrase.

[Assistant] 5

[User]
a waitress's income consists of her salary and tips. during one week, her tips were 9 / 4 of her salary. what fraction of her income for the week came from tips?
Answer the question using a single word or phrase.

[Assistant] 9 / 13

[User]
a can do a piece of work in 8 days. b can do it in 12 days. with the assistance of c they completed the work in 4 days. find in how many days can c alone do it?
Answer the question using a single word or phrase.

[Assistant] 24 days

[User]
find the value of m 62519 x 9999 = m?
Answer the question using a single word or phrase.

[Assistant] 625127481

[User]
the difference between compound interest and simple interest on a sum for 3 years at 10 % p. a. is rs. 124 find the sum.
Answer the question using a single word or phrase.

[Assistant] rs. 4000


[User]
an italian sausage is 8 inches long. how many pieces of sausage can be cut from the 8 - inch piece of sausage if each piece is to be 2 / 3 of an inch?
Answer the question using a single word or phrase.

[Assistant] 12

[User]
a is a working partner and b is a sleeping partner in the business. a puts in rs. 3500 and b rs. 2500, a receives 10 % of the profit for managing the business the rest being divided in proportion of their capitals. out of a total profit of rs. 9600, money received by a is?
Answer the question using a single word or phrase.

[Assistant] 6000

[User]
a train 550 meters long is running with a speed of 60 kmph. in what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Answer the question using a single word or phrase.

[Assistant] 30

[User]
given that 268 x 74 = 19732, find the value of 2.68 x. 74.
Answer the question using a single word or phrase.

[Assistant] 1.9732

[User]
bill made a profit of 10 % by selling a product. if he had purchased that product for 10 % less and sold it at a profit of 30 %, he would have received $ 70 more. what was his original selling price?
Answer the question using a single word or phrase.

[Assistant] $ 1100


[User]
george baked a total of 50 pizzas for 5 straight days, beginning on saturday. he baked 3 / 5 of the pizzas the first day, and 3 / 5 of the remaining pizzas the second day. if each successive day he baked fewer pizzas than the previous day, what is the maximum number of pizzas he could have baked on wednesday?
Answer the question using a single word or phrase.

[Assistant] 1

[User]
the difference between the value of a number increased by 12.5 % and the value of the original number decreased by 25 % is 30. what is the original number?
Answer the question using a single word or phrase.

[Assistant] 80

[User]
a man walking at a rate of 10 km / hr crosses a bridge in 15 minutes. the length of the bridge is?
Answer the question using a single word or phrase.

[Assistant] 2500

[User]
in a company of 12 employees, 5 employees earn $ 36000, 4 employees earn $ 45000, and the 3 highest - paid employees earn the same amount. if the average annual salary for the 12 employees is $ 47500, what is the annual salary for each of the highest - paid employees?
Answer the question using a single word or phrase.

[Assistant] $ 70,000

[User]
a man swims downstream 76 km and upstream 48 km taking 4 hours each time ; what is the speed of the current?
Answer the question using a single word or phrase.

[Assistant] 3.5 kmph


[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
Answer the question using a single word or phrase.

[Assistant] 35

[User]
n = 1 / 3 + 1 / 4 what is the value of n?
Answer the question using a single word or phrase.

[Assistant] 7 / 12

[User]
how many even multiples of 55 are there between 549 and 1101?
Answer the question using a single word or phrase.

[Assistant] 6

[User]
sum of two numbers prime to each other is 15 and their l. c. m. is 56. what are the numbers?
Answer the question using a single word or phrase.

[Assistant] 7 and 8

[User]
if - 3 x + 2 y = 28 and 3 x + 6 y = 84, what is the product of x and y?
Answer the question using a single word or phrase.

[Assistant] 0


[User]
before leaving home for the town of madison, pete checks a map which shows that madison is 5 inches from his current location, gardensquare. pete arrives in madison 5 hours later and drove at an average speed of 60 miles per hour. at what scale, in inches per mile, is the map drawn?
Answer the question using a single word or phrase.

[Assistant] 1 / 60

[User]
by selling 20 pencils for a rupee a man loses 20 %. how many for a rupee should he sell in order to gain 20 %?
Answer the question using a single word or phrase.

[Assistant] 30

[User]
25.25 / 2000 is equal to :
Answer the question using a single word or phrase.

[Assistant] 0.012625

[User]
on a sum of money, the simple interest for 2 years is rs. 660, while the compound interest is rs. 696.30, the rate of interest being the same in both the cases. the rate of interest is
Answer the question using a single word or phrase.

[Assistant] 11 %

[User]
a certain tire company can produce tires at a cost of $ 22500 per batch plus $ 8 per tire. the company can sell tires to the wholesaler at a cost of $ 20 per tire. if a batch of 15000 tires is produced and sold, what is the company ’ s profit per tire?
Answer the question using a single word or phrase.

[Assistant] $ 10.50


[User]
at a certain company, two - thirds of the employees had cell phones and two - fifths had pagers. if one - third of the employees had neither cell phones nor pagers then what fraction of the employees had both cell phones and pagers?
Answer the question using a single word or phrase.

[Assistant] 2 / 5

[User]
the original price of a suit is $ 200. the price increased 30 %, and after this increase, the store published a 30 % off coupon for a one - day sale. given that the consumers who used the coupon on sale day were getting 30 % off the increased price, how much did these consumers pay for the suit?
Answer the question using a single word or phrase.

[Assistant] $ 182

[User]
a boat can travel with a speed of 22 km / hr in still water. if the speed of the stream is 5 km / hr, find the time taken by the boat to go 81 km downstream
Answer the question using a single word or phrase.

[Assistant] 3 hours

[User]
a man can do a piece of work in 5 days, but with the help of his son he can do it in 4 days. in what time can the son do it alone?
Answer the question using a single word or phrase.

[Assistant] 20 days

[User]
the ages of patrick and michael are in the ratio of 3 : 5 and that of michael and monica are in the ratio of 3 : 5. if the sum of their ages is 149, what is the difference between the ages of patrick and monica?
Answer the question using a single word or phrase.

[Assistant] 64


[User]
two men a and b start from place x walking at 4 ½ kmph and 5 ¾ kmph respectively. how many km apart they are at the end of 7 ½ hours if they are walking in the same direction?
Answer the question using a single word or phrase.

[Assistant] 9 3 / 8 km

[User]
the regular price per can of a certain brand of soda is $ 0.60. if the regular price per can is discounted 20 percent when the soda is purchased in 24 - can cases, what is the price of 72 cans of this brand of soda purchased in 24 - can cases?
Answer the question using a single word or phrase.

[Assistant] $ 34.56

[User]
the cost price of an article is 36 % of the marked price. calculate the gain percent after allowing a discount of 20 %.
Answer the question using a single word or phrase.

[Assistant] 122.2 %

[User]
the cost of 2 chairs and 3 tables is rs. 1300. the cost of 3 chairs and 2 tables is rs. 1200. the cost of each table is more than that of each chair by?
Answer the question using a single word or phrase.

[Assistant] none of these

[User]
he ratio between the sale price and the cost price of an article is 5 : 1. what is the ratio between the profit and the cost price of that article?
Answer the question using a single word or phrase.

[Assistant] 2 : 1


[User]
the percentage increase in the area of rectangle, if each of its side is increased by 20 % is?
Answer the question using a single word or phrase.

[Assistant] 44 %

[User]
a bag contains 4 red, 4 blue and 2 green balls. if 2 ballsare picked at random, what is the probability that both are red?
Answer the question using a single word or phrase.

[Assistant] 2 / 15

[User]
in the xy - coordinate system, if ( m, n ) and ( m + 3, n + k ) are two points on the line with the equation x = 2 y + 5, then k =
Answer the question using a single word or phrase.

[Assistant] 3 / 2

[User]
each factor of 210 is inscribed on its own plastic ball, and all of the balls are placed in a jar. if a ball is randomly selected from the jar, what is the probability that the ball is inscribed with a multiple of 45?
Answer the question using a single word or phrase.

[Assistant] 5 / 42

[User]
in a garden, 26 trees are planted at equal distances along a yard 300 metres long, one tree being at each end of the yard. what is the distance between two consecutive trees?
Answer the question using a single word or phrase.

[Assistant] 12 metres


[User]
the product of 4 consecutive even numbers is always divisible by :
Answer the question using a single word or phrase.

[Assistant] 384

[User]
workers at a campaign office have 2500 fliers to send out. if they send out 1 / 5 of them in the morning and 1 / 4 of the remaining ones out during the afternoon, how many are left for the next day?
Answer the question using a single word or phrase.

[Assistant] 1500

[User]
two numbers n and 24 have lcm = 48 and gcf = 8. find n.
Answer the question using a single word or phrase.

[Assistant] 16

[User]
what is the sum of all the multiples of 8 between 30 and 100?
Answer the question using a single word or phrase.

[Assistant] 624

[User]
a trailer carries 3, 4 and 5 crates on a trip. each crate weighs no less than 1250 kg. what is the maximum weight of the crates on a single trip?
Answer the question using a single word or phrase.

[Assistant] 6250


[User]
what is the remainder when 1271 * 1276 * 1277 * 1285 is divided by 12?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
what will be the difference between simple and compound interest @ 10 % per annum on a sum of $ 1000 after 4 years?
Answer the question using a single word or phrase.

[Assistant] $ 64.10

[User]
if n is a positive integer and n ^ 2 is divisible by 150, then what is the largest positive integer that must divide n?
Answer the question using a single word or phrase.

[Assistant] 30

[User]
the ages of patrick and michael are in the ratio of 3 : 5 and that of michael and monica are in the ratio of 3 : 5. if the sum of their ages is 196, what is the difference between the ages of patrick and monica?
Answer the question using a single word or phrase.

[Assistant] 64

[User]
if tim had lunch at $ 50.50 and he gave 20 % tip, how much did he spend?
Answer the question using a single word or phrase.

[Assistant] $ 60.60


[User]
20. a certain church bell rings the bell twice at half past the hour and 4 times at the hour plus an additional number of rings equal to what ever time it is. how many rings will the clock make from 6 : 20 in the morning to 09 : 50 in the morning?
Answer the question using a single word or phrase.

[Assistant] 44.

[User]
if a book is sold at 7 % profit instead of 7 % loss, it would have brought rs 14 more. find out the cost price of the book
Answer the question using a single word or phrase.

[Assistant] 100

[User]
mahesh marks an article 15 % above the cost price of rs. 540. what must be his discount percentage if he sells it at rs. 460?
Answer the question using a single word or phrase.

[Assistant] 25.9 %

[User]
a shopkeeper has 280 kg of apples. he sells 50 % of these at 20 % profit and remaining 60 % at 30 % profit. find his % profit on total.
Answer the question using a single word or phrase.

[Assistant] 28 %

[User]
s ( n ) is a n - digit number formed by attaching the first n perfect squares, in order, into one integer. for example, s ( 1 ) = 1, s ( 2 ) = 14, s ( 3 ) = 149, s ( 4 ) = 14916, s ( 5 ) = 1491625, etc. how many digits y are in s ( 99 )?
Answer the question using a single word or phrase.

[Assistant] y = 353


[User]
a can do a piece of work in 12 days and b can do a piece of work in 18 days how many days will the work be completed if both of them work together?
Answer the question using a single word or phrase.

[Assistant] 7.2

[User]
how many two - digit numbers yield a remainder of 2 when divided by both 7 and 16?
Answer the question using a single word or phrase.

[Assistant] 0

[User]
find the 37.5 % of 976?
Answer the question using a single word or phrase.

[Assistant] 366

[User]
in track last week, the boys ran 34 laps. the girls ran 20 more laps. each lap is a 1 / 6 th of a mile. how many miles did the girls run?
Answer the question using a single word or phrase.

[Assistant] 9 miles

[User]
the average weight of a group of boys is 30 kg. after a boy of weight 40 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] 9


[User]
in a garment industry, 12 men working 8 hours per day complete a piece of work in 10 days. to complete the same work in 8 days, working 20 hours a day, the number of men required is :
Answer the question using a single word or phrase.

[Assistant] 6

[User]
find the minimum value of n such that 50! is perfectly divisible by 2520 ^ n.
Answer the question using a single word or phrase.

[Assistant] 1

[User]
a can finish a work in 10 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?
Answer the question using a single word or phrase.

[Assistant] 3 / 10

[User]
fog + fog + fog + fog = 1464. if f, o and g are digits in a 3 - digit number in the preceding equation the f + o + g =?
Answer the question using a single word or phrase.

[Assistant] 15

[User]
a is an integer greater than 39 but less than 51, b is an integer greater than 49 but less than 61, what is the range of a / b?
Answer the question using a single word or phrase.

[Assistant] 1 / 3


[User]
two sets of 6 consecutive positive integers have exactly one integer in common. the sum of the integers in the set with greater numbers is how much greater than the sum of the integers in the other set?
Answer the question using a single word or phrase.

[Assistant] 42

[User]
how many paying stones, each measuring 2 1 / 2 m * 2 m are required to pave a rectangular court yard 50 m long and 16 1 / 2 m board?
Answer the question using a single word or phrase.

[Assistant] 165

[User]
how many digits are required to number a book containing 260 pages?
Answer the question using a single word or phrase.

[Assistant] 672

[User]
log 3 n + log 15 n what is 3 digit number n that will be whole number
Answer the question using a single word or phrase.

[Assistant] 3375

[User]
the sum of squares of 3 numbers is 764 and sum of their products taken two at a time is 500. what is their sum?
Answer the question using a single word or phrase.

[Assistant] 42


[User]
a doctor prescribed 18 cubic centimeters of a certain drug to a patient whose body weight was 120 pounds. if the typical dosage is 2 cubic centimeters per 10 pounds of the body weight, by what percent was the prescribed dosage lesser than the typical dosage?
Answer the question using a single word or phrase.

[Assistant] - 37.5 %

[User]
the maximum number of students among them 1340 pens and 1280 pencils can be distributed in such a way that each student get the same number of pens and same number of pencils?
Answer the question using a single word or phrase.

[Assistant] 20

[User]
if the remainder is 10 when the integer n is divided by 18, what is the remainder when 2 n is divided by 9?
Answer the question using a single word or phrase.

[Assistant] 2

[User]
the sum of two numbers is 15 and their geometric mean is 20 % lower than arithmetic mean. find the numbers.
Answer the question using a single word or phrase.

[Assistant] 12,3

[User]
the value of ( 34.5 * 0.473 * 1.567 ) / ( 0.0673 * 23.25 * 7.57 ) is close to
Answer the question using a single word or phrase.

[Assistant] 2.16


[User]
in the land of oz only one or two - letter words are used. the local language has 67 different letters. the parliament decided to forbid the use of the seventh letter. how many words have the people of oz lost because of the prohibition?
Answer the question using a single word or phrase.

[Assistant] 134

[User]
$ 500 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
Answer the question using a single word or phrase.

[Assistant] $ 200

[User]
in an election between two candidates a and b, the number of valid votes received by a exceeds those received by b by 15 % of the total number of votes polled. if 20 % of the votes polled were invalid and a total of 5720 votes were polled, then how many valid votes did b get?
Answer the question using a single word or phrase.

[Assistant] 1859

[User]
10 x 1.8 - 2 x 1.5 / 0.3 =?
Answer the question using a single word or phrase.

[Assistant] 50

[User]
there are 1000 students in a school and among them 20 % of them attends chess class. 10 % of the students who are in the chess class are also enrolled for swimming. no other students are interested in swimming so how many will attend the swimming class if all enrolled attends?
Answer the question using a single word or phrase.

[Assistant] 20


[User]
an object thrown directly upward is at a height of h feet after t seconds, where h = - 15 ( t - 2 ) ^ 2 + 150. at what height, in feet, is the object 2 seconds after it reaches its maximum height?
Answer the question using a single word or phrase.

[Assistant] 90

[User]
a trader sells 66 meters of cloth for rs. 660 at the profit of rs. 5 per metre of cloth. what is the cost price of one metre of cloth?
Answer the question using a single word or phrase.

[Assistant] 5

[User]
what is the sum of the first 15 terms of an a. p whose 11 th and 7 th terms are 5.25 and 3.25 respectively
Answer the question using a single word or phrase.

[Assistant] 56.25

[User]
the average marks of a class of 30 students is 40 and that of another class of 50 students is 70. find the average marks of all the students?
Answer the question using a single word or phrase.

[Assistant] 58.75

[User]
the ratio of the length and the width of a rectangle is 4 : 3 and the area of the rectangle is 6348 sq cm. what is the ratio of the width and the area of the rectangle?
Answer the question using a single word or phrase.

[Assistant] 1 : 92


[User]
rates for having a manuscript typed at a certain typing service are $ 5 per page for the first time a page is typed and $ 3 per page each time a page is revised. if a certain manuscript has 100 pages, of which 30 were revised only once, 20 were revised twice, and the rest required no revisions, what was the total cost of having the manuscript typed?
Answer the question using a single word or phrase.

[Assistant] $ 710

[User]
three unbiased coins are tossed. what is the probability of getting at least 2 heads?
Answer the question using a single word or phrase.

[Assistant] 1 / 2

[User]
the captain of a cricket team of 11 members is 26 years old and the wicket keeper is 2 years older. if the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. what is the average age of the team?
Answer the question using a single word or phrase.

[Assistant] 22 years

[User]
if josh, doug, and brad have a total of $ 68 between them, and josh has two times as much money as brad but only 3 - fourths as much as doug, how much money does brad have?
Answer the question using a single word or phrase.

[Assistant] $ 12

[User]
mahesh can do a piece of work in 45 days. he works at it for 20 days and then rajesh finished it in 30 days. how long will y take to complete the work?
Answer the question using a single word or phrase.

[Assistant] 54


[User]
the speed of a car is 100 km in the first hour and 30 km in the second hour. what is the average speed of the car?
Answer the question using a single word or phrase.

[Assistant] 65 kmph

[User]
the hour hand of a watch rotates 30 degrees every hour. how many complete rotations does the hour hand make in 6 days?
Answer the question using a single word or phrase.

[Assistant] 12

[User]
find the remainder when 6 ^ 23 is divided by 5?
Answer the question using a single word or phrase.

[Assistant] 1

[User]
a vessel of capacity 75 litres is fully filled with pure milk. nine litres of milk is removed from the vessel and replaced with water. nine litres of the solution thus formed is removed and replaced with water. find the quantity of pure milk in the final milk solution?
Answer the question using a single word or phrase.

[Assistant] 58.08

[User]
riya and priya set on a journey. riya moves eastward at a speed of 25 kmph and priya moves westward at a speed of 40 kmph. how far will be priya from riya after 15 minutes
Answer the question using a single word or phrase.

[Assistant] 16 kms


[User]
the product of two successive numbers is 9506. which is the smaller of the two numbers?
Answer the question using a single word or phrase.

[Assistant] 97

[User]
if 2 ^ 4, 3 ^ 3, and 10 ^ 3 are factors of the product of 1,452 and w, where w is a positive integer, what is the smallest possible value of w?
Answer the question using a single word or phrase.

[Assistant] 360

[User]
the l. c. m. of 2 numbers is 100. the numbers are in the ratio 4 : 1. find their product?
Answer the question using a single word or phrase.

[Assistant] 2500

[User]
a, b, c subscribe rs. 50,000 for a business. a subscribes rs. 4000 more than b and b rs. 5000 more than c. out of a total profit of rs. 30,000, b receives :
Answer the question using a single word or phrase.

[Assistant] s. 10,200

[User]
the difference between a positive proper fraction and its reciprocal is 9 / 20. the fraction is :
Answer the question using a single word or phrase.

[Assistant] 4 / 5


[User]
a man is 20 years older than his son. in two years, his age will be twice the age of his son. the present age of his son is :
Answer the question using a single word or phrase.

[Assistant] 18 years

[User]
a mixture contains milk and water in the ratio 5 : 4. on adding 30 litters of water, the ratio of milk to water becomes 5 : 7. total quantity of milk & water before adding water to it?
Answer the question using a single word or phrase.

[Assistant] 90

[User]
in a class, 30 students pass in english and 20 students in math, while some students among these pass in both. how many more students do only english as compared to those doing only maths?
Answer the question using a single word or phrase.

[Assistant] 10

[User]
a metal company's old machine makes bolts at a constant rate of 100 bolts per hour. the company's new machine makes bolts at a constant rate of 150 bolts per hour. if both machines start at the same time and continue making bolts simultaneously, how many minutes will it take the two machines to make a total of 550 bolts?
Answer the question using a single word or phrase.

[Assistant] 132

[User]
in a village of 2,700 people, 900 people are over 70 years old and 1200 people are female. it is known that 40 percent of the females are younger than 70 years old. if no one in the village is 70 years old, what is the probability that a person chosen at random is either a female or younger than 70 years old?
Answer the question using a single word or phrase.

[Assistant] 14 / 15


[User]
how many integers between 362855 and 852755 have tens digit 1 and units digit 3?
Answer the question using a single word or phrase.

[Assistant] 4,889

[User]
the length of each side of square a is increased by 100 percent to make square b. if the length of the side of square b is increased by 80 percent to make square c, by what percent is the area of square c greater than the sum of the areas of squares a and b?
Answer the question using a single word or phrase.

[Assistant] 159.2 %

[User]
what are the last two digits of ( 301 * 401 * 503 * 604 * 646 * 547 * 448 * 349 ) ^ 2
Answer the question using a single word or phrase.

[Assistant] 44

[User]
a corporation that had $ 10 billion in profits for the year paid out $ 200 million in employee benefits. approximately what percent of the profits were the employee benefits? ( note : 1 billion = 10 ^ 9 )
Answer the question using a single word or phrase.

[Assistant] 2 %

[User]
the 15 homes in a new development are each to be sold for one of 3 different prices so that the developer receives an average ( arithmetic mean ) of $ 200000 per home. if 4 of the homes are to be sold for $ 170000 each and 5 are to be sold for $ 200000 each, what will be the selling price of each of the remaining 8 homes?
Answer the question using a single word or phrase.

[Assistant] $ 215,000


[User]
a reduction in the price of petrol by 10 % enables a motorist to buy 5 gallons more for $ 200. find the original price of petrol?
Answer the question using a single word or phrase.

[Assistant] $ 4.4

[User]
if each side of a square is increased by 25 %, find the percentage change in its area.
Answer the question using a single word or phrase.

[Assistant] 56.25 %

[User]
at a summer camp with 1,500 participants, 1 / 2 of the campers are aged 10 to 12. next year, the number of campers aged 10 to 12 will increase by 1 / 3. after this change, what percentage of the total 1,500 campers will the 10 to 12 - year - olds represent?
Answer the question using a single word or phrase.

[Assistant] 66 2 / 3 %

[User]
a big container is 50 % full with water. if 20 liters of water is added, the container becomes 3 / 4 full. what is the capacity of the big container in liters?
Answer the question using a single word or phrase.

[Assistant] 80

[User]
0.0007? = 0.01
Answer the question using a single word or phrase.

[Assistant] 0.07


[User]
a theater box office sold an average ( arithmetic mean ) of 68 tickets per staff member to a particular movie. among the daytime staff, the average number sold per member was 80, and among the evening staff, the average number sold was 60. if there are no other employees, what was the ratio of the number of daytime staff members to the number of evening staff members?
Answer the question using a single word or phrase.

[Assistant] 2 : 3

[User]
if 7 log ( 4 * 5 ^ 2 ) = x, find x
Answer the question using a single word or phrase.

[Assistant] 14

[User]
a bag contains 6 black and 8 white balls. one ball is drawn at random. what is the probability that the ball drawn is white?
Answer the question using a single word or phrase.

[Assistant] 4 / 7

[User]
we had $ 2800 left after spending 30 % of the money that we took for shopping. how much money did we start with?
Answer the question using a single word or phrase.

[Assistant] $ 4000

[User]
? x 48 = 173 x 240
Answer the question using a single word or phrase.

[Assistant] 865


[User]
if the product of the integers w, x, y and z is 68, and if 0 < w < x < y < z, what is the value of w + z?
Answer the question using a single word or phrase.

[Assistant] 5

[User]
what is the least number which when divided by 5, 6, 9 and 18 leaves remainder 4 in each care?
Answer the question using a single word or phrase.

[Assistant] 94

[User]
the speed of a railway engine is 63 km per hour when no compartment is attached, and the reduction in speed is directly proportional to the square root of the number of compartments attached. if the speed of the train carried by this engine is 24 km per hour when 9 compartments are attached, the maximum number of compartments that can be carried by the engine is :
Answer the question using a single word or phrase.

[Assistant] 23

[User]
in a class of 79 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] 25

[User]
a train traveled the first d miles of its journey it an average speed of 60 miles per hour, the next d miles of its journey at an average speed of y miles per hour, and the final d miles of its journey at an average speed of 160 miles per hour. if the train ’ s average speed over the total distance was 98 miles per hour, what is the value of y?
Answer the question using a single word or phrase.

[Assistant] 125


[User]
a cricket bat is sold for $ 850, making a profit of $ 205. the profit percentage would be
Answer the question using a single word or phrase.

[Assistant] 32 %

[User]
what is the unit digit in 12 ^ 100?
Answer the question using a single word or phrase.

[Assistant] 6

[User]
for the symbol, m ” n = n ^ 2 − m for all values of m and n. what is the value of 4 ” 3?
Answer the question using a single word or phrase.

[Assistant] 5

[User]
a man buys an article for $ 10. and sells it for $ 25. find the gain percent?
Answer the question using a single word or phrase.

[Assistant] 150 %

[User]
a can do a piece of work in 12 days. when he had worked for 2 days b joins him. if the complete work was finished in 8 days. in how many days b alone can finish the work?
Answer the question using a single word or phrase.

[Assistant] 28 days


[User]
if x / 4 years ago roger was 14 years old and x / 4 years from now he will be 4 x years old, how old will he be 6 x years from now?
Answer the question using a single word or phrase.

[Assistant] 39

[User]
if a no. when divided by 44, gives 432 as quotient and 0 as remainder. what will be the remainder when dividing the same no. by 38
Answer the question using a single word or phrase.

[Assistant] 8

[User]
sue's trail mix is 30 % nuts and 70 % dried fruit. jane's trail mix is 60 % nuts and 40 % chocolate chips. if the combined mixture of sue and jane's trails mix contains 48 % nuts, what percent of the combined mixture is dried fruit?
Answer the question using a single word or phrase.

[Assistant] 28 %

[User]
x can finish a work in 30 days. y can finish the same work in 15 days. yworked for 10 days and left the job. how many days does x alone need to finish the remaining work?
Answer the question using a single word or phrase.

[Assistant] 10

[User]
what is the sum of the numbers between 1 and 10, inclusive?
Answer the question using a single word or phrase.

[Assistant] 55


[User]
a is thrice as good a work man as b and together they finish a piece of work in 12 days. the number of days taken by a alone to finish the work is :
Answer the question using a single word or phrase.

[Assistant] 16 days.

[User]
300 first - time customers of a fashion store were surveyed for their shopping experience right after leaving the store. 60 % of the customers in the survey had purchased clothes for less than $ 100. 40 % of the customers in the survey reported they were overall satisfied with their purchase. 55 % of the customers that had purchased clothes for less than $ 100 reported they were overall satisfied with their purchase. what percent of the customers surveyed purchased clothes for at least $ 100 and reported that they were not overall satisfied with their purchase?
Answer the question using a single word or phrase.

[Assistant] 7

[User]
the average age of 9 men increases by 4 years when two women are included in place of two men of ages 36 and 32 years. find the average age of the women?
Answer the question using a single word or phrase.

[Assistant] 52

[User]
0.014 × 0.014 =?
Answer the question using a single word or phrase.

[Assistant] 0.000196

[User]
of the land owned by a farmer, 90 percent was cleared for planting. of the cleared land, 30 percent was planted with soybeans and 60 percent of the cleared land was planted with wheat. if the remaining 540 acres of cleared land was planted with corn, how many acres did the farmer own?
Answer the question using a single word or phrase.

[Assistant] 6000


[User]
a beats b by 50 m in a race of 500 m, then b beats by c by 25 m in a race of 500 m. find the distance by which a beats c in a race of 400?
Answer the question using a single word or phrase.

[Assistant] 58 m

[User]
a fellow borrowed a certain sum of money at 4 % per annum at simple interest and in 4 years the interest amounted to rs. 1260 less than the sum lent. what was the sum lent?
Answer the question using a single word or phrase.

[Assistant] 1500

[User]
if x ^ 2 + 1 / x ^ 2 = √ 20 what is the value of x ^ 4 + 1 / x ^ 4?
Answer the question using a single word or phrase.

[Assistant] 18

[User]
the pilot of a small aircraft with a 40 - gallon fuel tank wants to fly to cleveland, which is 480 miles away. the pilot recognizes that the current engine, which can fly only 5 miles per gallon, will not get him there. by how many miles per gallon must the aircraft ’ s fuel efficiency be improved to make the flight to cleveland possible?
Answer the question using a single word or phrase.

[Assistant] 7

[User]
tom reads at an average rate of 30 pages per hour, while jan reads at an average rate of 40 pages per hour. if tom starts reading a novel at 4 : 30, and jan begins reading an identical copy of the same book at 5 : 20, at what time will they be reading the same page?
Answer the question using a single word or phrase.

[Assistant] 7 : 50


[User]
what is the product between the place values of two 8's in the numeral 780.38
Answer the question using a single word or phrase.

[Assistant] 6.4

[User]
two numbers are 30 % and 37 % are less than a third number. how much percent is the second number less than the first?
Answer the question using a single word or phrase.

[Assistant] 10 %

[User]
a train is 360 meter long is running at a speed of 30 km / hour. in what time will it pass a bridge of 140 meter length?
Answer the question using a single word or phrase.

[Assistant] 60

[User]
the total car population in a chennai is 9000 out of which 5000 are made by honda. out of every 100 honda cars, 90 are red in color, but only 60 % of the total car population is red. find the % of non - honda cars that are red
Answer the question using a single word or phrase.

[Assistant] 22.5 %

[User]
danny and steve are running towards each other, each one from his own house. danny can reach steve's house in 29 minutes of running, which is half the time it takes steve to reach danny's house. if the two started to run at the same time, how much time longer will it take steve to reach the halfway point between their houses than danny to reach the halfway point between their houses?
Answer the question using a single word or phrase.

[Assistant] 14.5 minutes


[User]
find the fraction which has the same ratio to 1 / 2 that 2 / 5 has to 3 / 7
Answer the question using a single word or phrase.

[Assistant] 14 / 30

[User]
the average of 7 consecutive numbers a, b, c, d, e, f and g is 9. what percent of g is a?
Answer the question using a single word or phrase.

[Assistant] 50.0

[User]
a hen leaps 6 leaps for every 8 leaps of a duck, but 4 leaps of the duck are equal to 3 leaps of the hen. what is the ratio of the speed of the hen to that of the duck?
Answer the question using a single word or phrase.

[Assistant] 1 : 1

[User]
amar takes as much time in running 24 meters as a car takes in covering 60 meters. what will be the distance covered by amar during the time the car covers 2.2 km?
Answer the question using a single word or phrase.

[Assistant] 880 m

[User]
of the 600 residents of clermontville, 35 % watch the television show island survival, 40 % watch lovelost lawyers and 50 % watch medical emergency. if all residents watch at least one of these 3 shows and 18 % watch exactly 2 of these shows, then how many clermontville residents b watch all of the shows?
Answer the question using a single word or phrase.

[Assistant] 21


[User]
the length of a room is 5.5 m and width is 3.75 m. find the cost of paying the floor by slabs at the rate of rs. 600 per sq. metre.
Answer the question using a single word or phrase.

[Assistant] rs. 12,375

[User]
x and y together can completes a work in 12 days and y complete the same work in 24 days. then the number of days x required to complete the work will be?
Answer the question using a single word or phrase.

[Assistant] 24 days.

[User]
if 204 ÷ 12.75 = 16, then 2.04 ÷ 1.275 =?
Answer the question using a single word or phrase.

[Assistant] 1.6

[User]
if n is an integer and 101 n ^ 2 is less than or equal to 3600, what is the greatest possible value of n?
Answer the question using a single word or phrase.

[Assistant] 5

[User]
the simple form of the ratio 4 / 3 : 3 / 7 is?
Answer the question using a single word or phrase.

[Assistant] 7 : 3


[User]
each month, after jill pays for rent, utilities, food, and other necessary expenses, she has one fifth of her net monthly salary left as discretionary income. of this discretionary income, she puts 30 % into a vacation fund, 20 % into savings, and spends 35 % on eating out and socializing. this leaves her with $ 105 dollar, which she typically uses for gifts and charitable causes. what is jill ’ s net monthly salary?
Answer the question using a single word or phrase.

[Assistant] $ 3500

[User]
what is 12 percent of 80?
Answer the question using a single word or phrase.

[Assistant] 9.6

[User]
if the average ( arithmetic mean ) of 5 b, 6 b + 47 b, 8 b - 4 and 2 b is 140, what is the value of b?
Answer the question using a single word or phrase.

[Assistant] 25

[User]
you buy a piece of land with an area of â ˆ š 400, how long is one side of the land plot?
Answer the question using a single word or phrase.

[Assistant] 20

[User]
find the number, difference between number and its 3 / 5 is 62.
Answer the question using a single word or phrase.

[Assistant] 155


[User]
company kw is being sold, and both company a and company b were considering the purchase. the price of company kw is 90 % more than company a has in assets, and this same price is also 100 % more than company b has in assets. if companies a and b were to merge and combine their assets, the price of company kw would be approximately what percent of these combined assets?
Answer the question using a single word or phrase.

[Assistant] 97 %

[User]
if $ 200 invested at a certain rate of simple interest amounts to $ 240 at the end of 3 years, how much will $ 150 amount to at the same rate of interest in 6 years?
Answer the question using a single word or phrase.

[Assistant] $ 210

[User]
a man sold 20 articles for $ 60 and gained 20 %. how many articles should he sell for $ 60 to incur a loss 20 %?
Answer the question using a single word or phrase.

[Assistant] 30

[User]
a train 200 m long crosses a platform 200 m long in 40 sec ; find the speed of the train?
Answer the question using a single word or phrase.

[Assistant] 36 kmph

[User]
a shopkeeper sold 30 articles at the cost price of 25 articles. then find the profit % or lost %
Answer the question using a single word or phrase.

[Assistant] 20 % loss


[User]
a company conducted a survey about its two brands, a and b. x percent of respondents liked product a, ( x – 20 ) percent liked product b, 23 percent liked both products, and 23 percent liked neither product. what is the minimum number d of people surveyed by the company?
Answer the question using a single word or phrase.

[Assistant] d. 100

[User]
two trains of equal length are running on parallel lines in the same directions at 46 km / hr. and 36 km / hr. the faster trains pass the slower train in 54 seconds. the length of each train is :
Answer the question using a single word or phrase.

[Assistant] 75 m

[User]
if 11.25 m of a uniform steel rod weighs 42.75 kg. what will be the weight of 7 m of the same rod?
Answer the question using a single word or phrase.

[Assistant] 26.6 kg

[User]
if a farmer wants to plough a farm field on time, he must plough 160 hectares a day. for technical reasons he ploughed only 85 hectares a day, hence he had to plough 2 more days than he planned and he still has 40 hectares left. what is the area of the farm field and how many days the farmer planned to work initially?
Answer the question using a single word or phrase.

[Assistant] 448

[User]
a chemist mixes one liter of pure water with x liters of a 60 % salt solution, and the resulting mixture is a 10 % salt solution. what is the value of x?
Answer the question using a single word or phrase.

[Assistant] 1 / 5


[User]
tom reads at an average rate of 30 pages per hour, while jan reads at an average rate of 36 pages per hour. if tom starts reading a novel at 4 : 00, and jan begins reading an identical copy of the same book at 4 : 48, at what time will they be reading the same page?
Answer the question using a single word or phrase.

[Assistant] 8 : 48

[User]
bhatia, ashtikar and singh begin to play with rs 70 each. at the end the ratio of the amounts left with ashtikar and singh is 1 : 2 and of those with singh and bhatia is 4 : 1. what is singh's gain ( in rs )?
Answer the question using a single word or phrase.

[Assistant] 50

[User]
if x ^ 2 + ( 1 / x ^ 2 ) = 7, x ^ 4 + ( 1 / x ^ 4 ) =?
Answer the question using a single word or phrase.

[Assistant] 47

[User]
the floor of a rectangular room is 19 m long and 12 m wide. the room is surrounded by a veranda of width 2 m on all its sides. the area of the veranda is :
Answer the question using a single word or phrase.

[Assistant] 140 m 2

[User]
the price of a tv was increased by 30 percent. the new price was then increased by 20 percent. a single increase of what percent is equivalent to these two successive increases?
Answer the question using a single word or phrase.

[Assistant] 56 %


[User]
simplify : 500 x 500 - 200 x 200
Answer the question using a single word or phrase.

[Assistant] 210000

[User]
a man took a loan at rate of 12 % per annum simple interest. after 3 years he had to pay 4320 interest. the principal amount borrowed by him was.
Answer the question using a single word or phrase.

[Assistant] rs 12000

[User]
a total of 30 percent of the geese included in a certain migration study were male. if some of the geese migrated during the study and 10 percent of the migrating geese were male, what was the ratio of the migration rate for the male geese to the migration rate for the female geese? [ migration rate for geese of a certain sex = ( number of geese of that sex migrating ) / ( total number of geese of that sex ) ]
Answer the question using a single word or phrase.

[Assistant] 7 / 27

[User]
of 64 players on a cricket team, 37 are throwers. the rest of the team is divided so one third are left - handed and the rest are right handed. assuming that all throwers are right handed, how many right - handed players are there total?
Answer the question using a single word or phrase.

[Assistant] 55

[User]
pipe a can fill a tank in 30 minutes. pipe b can fill the same tank 6 times faster than pipe a. if both the pipes are connected to the tank so that they fill the tank simultaneously, how long will it take for the empty tank to overflow?
Answer the question using a single word or phrase.

[Assistant] 15 / 4 minutes


[User]
if a, b and c together can finish a piece of work in 4 days. a alone in 12 days and b in 9 days, then c alone can do it in?
Answer the question using a single word or phrase.

[Assistant] 18

[User]
michelle deposited a certain sum of money in a savings account on july 1 st, 2007. she earns an 6.4 % interest compounded semiannually. the sum of money in the account on december 31 st, 2009 is approximately what percent of the initial deposit?
Answer the question using a single word or phrase.

[Assistant] 117 %

[User]
a certain maroon paint contains 50 percent blue pigment and 50 percent red pigment by weight. a certain green paint contains 30 percent blue pigment and 70 percent yellow pigment. when these paints are mixed to produce a brown paint, the brown paint contains 40 percent blue pigment. if the brown paint weighs 10 grams, then the red pigment contributes how many grams of that weight?
Answer the question using a single word or phrase.

[Assistant] 2.5

[User]
chris age after 15 years will be 5 times his age 5 years back. what is the present age of chris?
Answer the question using a single word or phrase.

[Assistant] 10

[User]
a can do a work in 14 days and working together a and b can do the same work in 10 days. in what time can b alone do the work?
Answer the question using a single word or phrase.

[Assistant] 35 days


[User]
if the average of 5 positive integers is 45 and the difference between the largest and the smallest of these 5 numbers is 10, what is the maximum value possible for the largest of these 5 integers?
Answer the question using a single word or phrase.

[Assistant] 53

[User]
find the lowest common multiple of 24, 30 and 40.
Answer the question using a single word or phrase.

[Assistant] 120

[User]
a certain number when divided by 39 leaves a remainder 15, what is the remainder when the same number is divided by 13?
Answer the question using a single word or phrase.

[Assistant] 2

[User]
a cistern can be filled by a tap in 5 hours while it can be emptied by another tap in 8 hours. if both the taps are opened simultaneously, then after how much time will the cistern get filled?
Answer the question using a single word or phrase.

[Assistant] 13.3 hrs

[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 ( 4 / 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?
Answer the question using a single word or phrase.

[Assistant] 1 / 2


[User]
a person lent a certain sum of money at 5 % per annum at simple interest and in 8 years the interest amounted to $ 360 less than the sum lent. what was the sum lent?
Answer the question using a single word or phrase.

[Assistant] 600

[User]
there is food for 760 men for 22 days. how many more men should join after two days so that the same food may last for 19 days more?
Answer the question using a single word or phrase.

[Assistant] 40

[User]
if p represents the product of the first 14 positive integers, then p is not a multiple of
Answer the question using a single word or phrase.

[Assistant] 85

[User]
how many pieces of 0.36 meteres can be cut from a rod 26.5 meteres long
Answer the question using a single word or phrase.

[Assistant] 60

[User]
because he ’ s taxed by his home planet, mork pays a tax rate of 40 % on his income, while mindy pays a rate of only 25 % on hers. if mindy earned 4 times as much as mork did, what was their combined tax rate?
Answer the question using a single word or phrase.

[Assistant] 28 %


[User]
the temperature of a certain cup of coffee 5 minutes after it was poured was 120 degrees fahrenheit. if the temperature f of the coffee t minutes after it was poured can be determined by the formula f = 120 * 2 ^ ( - at ) + 60, where f is in degrees fahrenheit and a is a constant. then the temperature of the coffee 30 minutes after it was poured was how many degrees fahrenheit?
Answer the question using a single word or phrase.

[Assistant] 61.875

[User]
5 n + 2 > 12 and 7 n - 12 < 44 ; n must be between which numbers?
Answer the question using a single word or phrase.

[Assistant] 2 and 8

[User]
a pupil's marks were wrongly entered as 73 instead of 45. due to that the average marks for the class got increased by half. the number of pupils in the class is :
Answer the question using a single word or phrase.

[Assistant] 56

[User]
a cube of edge 8 cm is cut into cubes each of edge 1 cm. the ratio of the total surface area of one of the small cubes to that of the large cube is equal to :
Answer the question using a single word or phrase.

[Assistant] 1 : 64

[User]
if [ [ x ] ] = x ^ 2 + 2 x + 4, what is the value of [ [ 6 ] ]?
Answer the question using a single word or phrase.

[Assistant] 52


[User]
2015.98 + 1275.087 – 175.98 × 0.95 + 988.09 =?
Answer the question using a single word or phrase.

[Assistant] 4004

[User]
the sum of ages of 5 children born 3 years different each is 50 yrs. what is the age of the elder child?
Answer the question using a single word or phrase.

[Assistant] 16

[User]
the average of 6 no.'s is 5.40. the average of 2 of them is 5.2, while the average of the other 2 is 5.80. what is the average of the remaining 2 no's?
Answer the question using a single word or phrase.

[Assistant] 5.2

[User]
a car ferry can hold up to 70 tons of cargo. what is the greatest number of vehicles that the ferry can carry if half the vehicles are cars with an average ( arithmetic mean ) weight of 0.75 tons and half of the vehicles are trucks with an average ( arithmetic mean ) weight of 5 tons?
Answer the question using a single word or phrase.

[Assistant] 24

[User]
x, a, z, and b are single digit positive integers. x = 1 / 8 a. z = 1 / 8 b. ( 10 a + b ) – ( 10 x + z ) could not equal
Answer the question using a single word or phrase.

[Assistant] 55


[User]
if a student loses 5 kilograms, he will weigh twice as much as his sister. together they now weigh 110 kilograms. what is the student's present weight in kilograms?
Answer the question using a single word or phrase.

[Assistant] 75

[User]
what annual installment will discharge a debt of rs. 1428 due in 3 years at 12 % simple interest?
Answer the question using a single word or phrase.

[Assistant] 425

[User]
in a group of ducks and cows, the total number of legs are 16 more than twice the no. of heads. find the total no. of buffaloes.
Answer the question using a single word or phrase.

[Assistant] 8

[User]
x and y invested in a business. they earned some profit which they divided in the ratio of 2 : 4. if x invested rs. 40,000. the amount invested by y is
Answer the question using a single word or phrase.

[Assistant] rs. 80,000

[User]
the amounts of time that three secretaries worked on a special project are in the ratio of 2 to 3 to 5. if they worked a combined total of 110 hours, how many hours did the secretary who worked the longest spend on the project?
Answer the question using a single word or phrase.

[Assistant] 55


[User]
3 friends a, b, c went for week end party to mcdonald ’ s restaurant and there they measure there weights in some order in 7 rounds. a, b, c, ab, bc, ac, abc. final round measure is 155 kg then find the average weight of all the 7 rounds?
Answer the question using a single word or phrase.

[Assistant] 88.5 kgs

[User]
set j consists of 18 consecutive even numbers. if the smallest term in the set is - 12, what is the range of the positive integers in set j?
Answer the question using a single word or phrase.

[Assistant] 20

[User]
what is the remainder when 1201 × 1202 × 1203 × 1207 is divided by 6?
Answer the question using a single word or phrase.

[Assistant] 0

[User]
bruce and anne can clean their house in 4 hours working together at their respective constant rates. if anne ’ s speed were doubled, they could clean their house in 3 hours working at their respective rates. how many s hours does it currently take anne to clean the house on her own?
Answer the question using a single word or phrase.

[Assistant] 12

[User]
the amount of an investment will double in approximately 70 / p years, where p is the percent interest, compounded annually. if thelma invests $ 40,000 in a long - term cd that pays 5 percent interest, compounded annually, what will be the approximate total value of the investment when thelma is ready to retire 56 years later?
Answer the question using a single word or phrase.

[Assistant] $ 640,000


[User]
having received his weekly allowance, a student spent 2 / 5 of his allowance at the arcade. the next day he spent one third of his remaining allowance at the toy store, and then spent his last $ 1.20 at the candy store. what is this student ’ s weekly allowance?
Answer the question using a single word or phrase.

[Assistant] $ 3.00

[User]
ashley paid 5 dollars for 1 notebook and 1 pencil. if both prices were integers, how many pencils did ashley buy if she paid 93 dollars for the pencils and for 15 notebooks?
Answer the question using a single word or phrase.

[Assistant] 21

[User]
what is 2 2 / 3 - 1 1 / 4 divided by 1 / 5 - 1 / 6?
Answer the question using a single word or phrase.

[Assistant] 85 / 2

[User]
a train running at the speed of 142 km / hr crosses a pole in 12 seconds. find the length of the train.
Answer the question using a single word or phrase.

[Assistant] 540

[User]
in a certificate by mistake a candidate gave his height as 25 % more than actual height. in the interview panel, he clarified that his height was 5 feet 10 inches. find the % correction made by the candidate from his stated height to his actual height?
Answer the question using a single word or phrase.

[Assistant] 17.5


[User]
at deluxe paint store, fuchsia paint is made by mixing 5 parts of red paint with 3 parts of blue paint. mauve paint is made by mixing 3 parts of red paint with 6 parts blue paint. how many liters of blue paint must be added to 16 liters of fuchsia to change it to mauve paint?
Answer the question using a single word or phrase.

[Assistant] 14

[User]
the difference between c. i. and s. i. on an amount of $ 20,000 for 2 years is $ 98. what is the rate of interest per annum?
Answer the question using a single word or phrase.

[Assistant] 7 %

[User]
in 1979 approximately 1 / 3 of the 37.3 million airline passengers traveling to or from the united states used kennedy airport. if the number of such passengers that used miami airport was 1 / 3 the number that used kennedy airport and 4 times the number that used logan airport, approximately how many millions of these passengers used logan airport that year?
Answer the question using a single word or phrase.

[Assistant] 1.01

[User]
( 4300431 ) -? = 2535618
Answer the question using a single word or phrase.

[Assistant] 1764813

[User]
by selling 18 pencils for a rupee a man loses 15 %. how many for a rupee should he sell in order to gain 15 %?
Answer the question using a single word or phrase.

[Assistant] 9


[User]
a contractor undertakes to do a piece of work in 40 days. he engages 100 men at the begining and 100 more after 35 days and completes the work in stipulated time. if he had not engaged the additional men, how many days behind schedule would it be finished?
Answer the question using a single word or phrase.

[Assistant] 5

[User]
how many integers are between 4 and 88 / 9, inclusive?
Answer the question using a single word or phrase.

[Assistant] 6

[User]
how many integers from 1 to 100 ( both inclusive ) have odd number of factors?
Answer the question using a single word or phrase.

[Assistant] 10

[User]
if jake loses 8 pounds, he will weigh twice as much as his sister. together they now weigh 278 pounds. what is jake ’ s present weight, in pounds?
Answer the question using a single word or phrase.

[Assistant] 188

[User]
if the annual increase in the population of a town is 10 % and the present number of people is 12000, what will the population be in 2 years?
Answer the question using a single word or phrase.

[Assistant] 14520


[User]
a money lender finds that due to a fall in the annual rate of interest from 8 % to 7 3 / 4 % his yearly income diminishes by rs. 65.50, his capital is?
Answer the question using a single word or phrase.

[Assistant] 26,200

[User]
a monkey start climbing up a tree 19 ft tall. each hour it hops 3 ft and slips back 2 ft. how much time would it take the monkey to reach the top.
Answer the question using a single word or phrase.

[Assistant] 17 hrs

[User]
find the value of y from ( 12 ) ^ 2 x 6 ^ 3 ÷ 432 = y?
Answer the question using a single word or phrase.

[Assistant] 72

[User]
before leaving home for the town of madison, pete checks a map which shows that madison is 5 inches from his current location, gardensquare. pete arrives in madison 6.5 hours later and drove at an average speed of 60 miles per hour. at what scale, in inches per mile, is the map drawn?
Answer the question using a single word or phrase.

[Assistant] 1 / 78

[User]
a cistern 12 meters long and 4 meters wide contains water up to a depth of 1 meter 25 cm. what is the total area of the wet surface?
Answer the question using a single word or phrase.

[Assistant] 88


[User]
ramu bought an old car for rs. 45000. he spent rs. 12000 on repairs and sold it for rs. 80000. what is his profit percent?
Answer the question using a single word or phrase.

[Assistant] 40 %

[User]
subash can copy 50 pages in 10 hrs. subash and prakash together can copy 300 pages in 40 hours. in how much time prakash can copy 15 pages.
Answer the question using a single word or phrase.

[Assistant] 6

[User]
a man's regular pay is $ 3 per hour up to 40 hours. overtime is twice the payment for regular time. if he was paid $ 198, how many hours overtime did he work?
Answer the question using a single word or phrase.

[Assistant] 13

[User]
a train sets off at 9 : 00 am at the speed of 70 km / h. another train starts at 10 : 30 am in the same direction at the rate of 84 km / h. at what time will the second train catch the first train?
Answer the question using a single word or phrase.

[Assistant] 6 : 00

[User]
a grocery store bought some apples at a rate of 5 for a dollar. they were separated into two stacks, one of which was sold at a rate of 3 for a dollar and the other at a rate of 6 for a dollar. what was the ratio of the number of apples in the two stacks if the store broke even after having sold all of its apples?
Answer the question using a single word or phrase.

[Assistant] 1 : 4


[User]
if 11 lions can kill 11 deers in 11 minutes how long will it take 100 lions to kill 100 deers?
Answer the question using a single word or phrase.

[Assistant] 11 minute

[User]
two vessels p and q contain 62.5 % and 87.5 % of alcohol respectively. if 6 litres from vessel p is mixed with 4 litres from vessel q, the ratio of alcohol and water in the resulting mixture is?
Answer the question using a single word or phrase.

[Assistant] 29 : 11

[User]
what is 1 percent of 12,356?
Answer the question using a single word or phrase.

[Assistant] 123.56

[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 }, what is the probability that xy will be even?
Answer the question using a single word or phrase.

[Assistant] 1 / 3

[User]
sue's trail mix is 30 % nuts and 70 % dried fruit. jane's trail mix is 60 % nuts and 40 % chocolate chips. if the combined mixture of sue and jane's trails mix contains 35 % nuts, what percent of the combined mixture is dried fruit?
Answer the question using a single word or phrase.

[Assistant] 58.3 %


[User]
a certain music store stocks 800 cellos and 600 violas. of these instruments, there are 70 cello - viola pairs, such that a cello and a viola were both made with wood from the same tree ( each tree can make at most one viola and one cello, so there are no pairs other than these 90 ). if one viola and one cello are chosen at random, what is the probability that the two instruments are made with wood from the same tree?
Answer the question using a single word or phrase.

[Assistant] 7 / 48,000

[User]
the speed of a boat in still water is 20 km / hr and the rate of current is 5 km / hr. the distance travelled downstream in 24 minutes is :
Answer the question using a single word or phrase.

[Assistant] 10

[User]
the instructions state that cheryl needs 4 / 9 square yards of one type of material and 2 / 3 square yards of another type of material for a project. she buys exactly that amount. after finishing the project, however, she has 8 / 18 square yards left that she did not use. what is the total amount of square yards of material cheryl used?
Answer the question using a single word or phrase.

[Assistant] 2 / 3

[User]
a sells a bicycle to b at a profit of 30 % and b sells it to c at a loss of 20 %. find the resultant profit or loss.
Answer the question using a single word or phrase.

[Assistant] 4 %

[User]
a man can row at 6 kmph in still water. if the velocity of current is 2 kmph and it takes him 2 hour to row to a place and come back, how far is the place?
Answer the question using a single word or phrase.

[Assistant] 5.33 km


[User]
in a survey of 335 employees, 104 of them are uninsured, 54 work part time, and 12.5 percent of employees who are uninsured work part time. if a person is to be randomly selected from those surveyed, what is the probability that the person will neither work part time nor be uninsured?
Answer the question using a single word or phrase.

[Assistant] 38 / 67

[User]
a $ 500 investment and a $ 1,500 investment have a combined yearly return of 8.5 percent of the total of the two investments. if the $ 500 investment has a yearly return of 7 percent, what percent yearly return does the $ 1, 500 investment have?
Answer the question using a single word or phrase.

[Assistant] 9 %

[User]
8 : 4 seconds : :? : 4 minutes
Answer the question using a single word or phrase.

[Assistant] 8

[User]
a river 2 m deep and 45 m wide is flowing at the rate of 7 kmph the amount of water that runs into the sea per minute is?
Answer the question using a single word or phrase.

[Assistant] 10500 m 3

[User]
what is the area of square field whose side of length 10 m?
Answer the question using a single word or phrase.

[Assistant] 100


[User]
at a local appliance manufacturing facility, the workers received a 25 % hourly pay raise due to extraordinary performance. if one worker decided to reduce the number of hours that he worked so that his overall pay would remain unchanged, by approximately what percent would he reduce the number of hours that he worked?
Answer the question using a single word or phrase.

[Assistant] 20 %

[User]
if 625 ^ ( - x ) + 5 ^ ( - 2 x ) + 5 ^ ( - 4 x ) = 15, what is the value of x?
Answer the question using a single word or phrase.

[Assistant] - 4

[User]
the dimensions of a room are 25 feet * 15 feet * 12 feet. what is the cost of white washing the four walls of the room at rs. 6 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?
Answer the question using a single word or phrase.

[Assistant] s. 5436

[User]
a car dealership has 40 cars on the lot, 10 % of which are silver. if the dealership receives a new shipment of 80 cars, 25 % of which are not silver, what percentage of total number of cars are silver?
Answer the question using a single word or phrase.

[Assistant] 20 %

[User]
apple costs l rupees per kilogram for first 30 kgs and q rupees per kilogram for each additional kilogram. if the price of 33 kilograms is 333 and for 36 kgs of apples is 366 then the cost of first 15 kgs of apples is
Answer the question using a single word or phrase.

[Assistant] 150


[User]
the sub - duplicate ratio of 16 : 36 is
Answer the question using a single word or phrase.

[Assistant] 4 : 6

[User]
a can give b 70 meters start and c 200 meters start in a kilometer race. how much start can b give c in a kilometer race?
Answer the question using a single word or phrase.

[Assistant] 139.78

[User]
find the area of trapezium whose parallel sides are 10 cm and 18 cm long, and the distance between them is 10.00001 cm.
Answer the question using a single word or phrase.

[Assistant] 140 cm 2

[User]
a car drives 40 miles on local roads at 20 mph, and 180 miles on the highway at 60 mph, what is the average speed of the entire trip?
Answer the question using a single word or phrase.

[Assistant] 44 mph

[User]
a man sold 18 toys for rs. 16800, gaining thereby the cost price of 3 toy find the cost price of a toy
Answer the question using a single word or phrase.

[Assistant] rs. 800


[User]
in the coordinate plane, points ( x, 1 ) and ( 10, y ) are on line k. if line k passes through the origin and has slope 1 / 4, then x + y =
Answer the question using a single word or phrase.

[Assistant] 6.5

[User]
a doctor prescribed 20 cubic centimeters of a certain drug to a patient whose body weight was 120 pounds. if the typical dosage is 2 cubic centimeters per 15 pounds of the body weight, by what percent was the prescribed dosage greater than the typical dosage?
Answer the question using a single word or phrase.

[Assistant] 25 %

[User]
the ratio between the present age of p and q is 6 : 7. if q is 4 years old then p, what will be the ratio of the ages of p and q after 4 year?
Answer the question using a single word or phrase.

[Assistant] 7 : 8

[User]
3 people have $ 28, $ 72, and $ 98, respectively. if they pool their money then redistribute it among them, what is the maximum value for the median amount of money?
Answer the question using a single word or phrase.

[Assistant] $ 99

[User]
if a is an integer greater than 2 but less than 11 and b is an integer greater than 11 but less than 21, what is the range of a / b?
Answer the question using a single word or phrase.

[Assistant] 41 / 60


[User]
at what price must an article costing rs. 100 be marked in order that after deducting 5 % from the list price. it may be sold at a profit of 25 % on the cost price?
Answer the question using a single word or phrase.

[Assistant] 131.58

[User]
how long does a train 110 m long running at a speed of 72 kmph take to cross a bridge 132 m in length?
Answer the question using a single word or phrase.

[Assistant] 12.1 sec

[User]
a train 110 meters long is running with a speed of 60 kmph. in what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Answer the question using a single word or phrase.

[Assistant] 6 sec

[User]
a person can swim in still water at 4 km / h. if the speed of water 2 km / h, how many hours will the man take to swim back against the current for 6 km?
Answer the question using a single word or phrase.

[Assistant] 3

[User]
in an election, candidate x got 75 % of the total valid votes. if 15 % of the total votes were declared invalid and the total numbers of votes is 560000, find the number of valid vote polled in favour of candidate?
Answer the question using a single word or phrase.

[Assistant] 357000


[User]
the average of first 15 natural numbers is?
Answer the question using a single word or phrase.

[Assistant] 8

[User]
at 6 ′ o a clock ticks 6 times. the time between first and last ticks is 35 seconds. how long does it tick at 12 ′ o clock
Answer the question using a single word or phrase.

[Assistant] 77

[User]
a no. when divided by the sum of 555 and 445 gives 2 times their difference as quotient & 20 as remainder. find the no. is?
Answer the question using a single word or phrase.

[Assistant] 220020

[User]
a case contains c cartons. each carton contains b boxes, and each box contains 300 paper clips. how many paper clips are contained in 2 cases?
Answer the question using a single word or phrase.

[Assistant] 600 bc

[User]
solve the equation for x : 2 x - 21 + 3 x = 4 + 9 - x
Answer the question using a single word or phrase.

[Assistant] 5.6


[User]
a can finish a work in 48 days, b in 9 days and c in 2 days, b and c start the work but are forced to leave after 3 days. the remaining work was done by a in?
Answer the question using a single word or phrase.

[Assistant] 20 days

[User]
the length of the bridge, which a train 140 metres long and travelling at 45 km / hr can cross in 30 seconds, is :
Answer the question using a single word or phrase.

[Assistant] 235 m

[User]
in a certain animal shelter, the ratio of the number of catsto the number of dogs is 15 to 7. if 16 additional dogs were to be taken in by the shelter, the ratio of the number of cats to the number of dogs would be 15 to 11. how many cats are in the shelter?
Answer the question using a single word or phrase.

[Assistant] 45

[User]
for the positive integers x, x + 2, x + 4, x + 7, and x + 32, the mean is how much greater than the median?
Answer the question using a single word or phrase.

[Assistant] 5

[User]
a driver would have reduced the time it took to drive from home to the store by 1 / 3 if the average speed had been increased by 18 miles per hour. what was the actual average speed, in miles per hour, when the driver drove from home to the store?
Answer the question using a single word or phrase.

[Assistant] 36