[User]
two trains travel in opposite directions at 36 kmph and 45 kmph and a man sitting in slower train passes the faster train in 4 seconds. the length of the faster train is
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[Assistant] 90 m

[User]
set x consists of 15 integers and has median of 20 and a range of 20. what is the value of the greatest possible integer that can be present in the set?
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[Assistant] 60

[User]
if x / 2 years ago roger was 18 years old and x / 2 years from now he will be 4 x years old, how old will he be 5 x years from now?
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[Assistant] 51

[User]
a small college reduced its faculty by approximately 23 percent to 195 professors. what was the original number of faculty members?
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[Assistant] 253

[User]
a bakery has 6 employees. it pays annual salaries of $ 15,000 to each of 2 employees, $ 17,000 to 1 employee, and $ 18,000 to each of the remaining 3 employees. which number is closest to the average ( arithmetic mean ) annual salary of these employees?
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[Assistant] $ 16,800


[User]
the current birth rate per certain number of people is 32, whereas corresponding death rate is 11 per same number of people. if the net growth rate in terms of population increase is 2.1 percent, find number of persons. ( initally )
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[Assistant] 1000

[User]
if a lends rs. 4000 to b at 10 % per annum and b lends the same sum to c at 11.5 % per annum then the gain of b in a period of 3 years is?
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[Assistant] 180

[User]
if x is less than y by 35 % then y exceed x by :
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[Assistant] 53.85 %

[User]
two numbers are in the ratio of 3 : 8. if 24 be subtracted from each, they are in the ratio of 4 : 9. find the numbers?
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[Assistant] - 72, - 192

[User]
if 3 tic equals 6 tacs and 2 tacs equal 7 tocs, what is the ratio of one tic to one toc?
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[Assistant] 7 / 1


[User]
in the faculty of reverse - engineering, 226 second year students study numeric methods, 423 second year students study automatic control of airborne vehicles and 134 second year students study them both. how many students are there in the faculty if the second year students are approximately 60 % of the total?
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[Assistant] 858.

[User]
the average weight of 29 students is 28 kg. by the admission of a new student, the average weight is reduced to 27.3 kg. the weight of the new student is
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[Assistant] 7 kg

[User]
a train 225 m long passes a man, running at 10 km / hr in the same direction in which the train is going, in 10 seconds. the speed of the train is :
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[Assistant] 91

[User]
the area of a square is equal to five times the area of a rectangle of dimensions 27 cm * 16 cm. what is the perimeter of the square?
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[Assistant] 144

[User]
the present ratio of students to teachers at a certain school is 30 to 1. if the student enrollment were to increase by 50 students and the number of teachers were to increase by 5, the ratio of students to teachers would then be 25 to 1. what is the present number of teachers?
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[Assistant] 15


[User]
a train is 360 meter long is running at a speed of 60 km / hour. in what time will it pass a bridge of 140 meter length?
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[Assistant] 30 seconds

[User]
a reduction of 40 % in the price of bananas would enable a man to obtain 64 more for rs. 40. what is the reduced price / dozen?
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[Assistant] 3

[User]
a certain company has records stored with a record storage firm in 15 - inch by 12 - inch by 10 - inch boxes. the boxes occupy 1.08 million cubic inches of space. if the company pays $ 0.4 per box per month for the record storage, what is the total amount that the company pays each month for record storage?
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[Assistant] d. 240

[User]
excluding stoppages, the speed of a bus is 48 kmph and including stoppages, it is 45 kmph. for how many minutes does the bus stop per hour?
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[Assistant] 4.15

[User]
in a group of people, if 30 people were made to stand in each column, 16 columns could be formed. if 60 people were made to stand in a column, how many columns could be formed?
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[Assistant] 8


[User]
carol and jordan draw rectangles of equal area. if carol's rectangle measures 5 inches by 24 inches and jordan's rectangle is 2 inches long, how wide is jordan's rectangle, in inches?
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[Assistant] 60

[User]
a man took loan from a bank at the rate of 12 % p. a. s. i. after 3 years he had to pay rs. 5400 interest only for the period. the principal amount borrowed by him was?
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[Assistant] 15000

[User]
a certain manufacturer produces items for which the production costs consist of annual fixed costs totaling $ 130,000 and variables costs averaging $ 8 per item. if the manufacturer ’ s selling price per item is $ 12, how many items the manufacturer produce and sell to earn an annual profit of $ 140,000?
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[Assistant] 67,500

[User]
how many numbers between 100 and 714 are divisible by 2, 3, and 7 together?
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[Assistant] 15

[User]
how many paying stones, each measuring 3 m * 2 m are required to pave a rectangular court yard 60 m long and 14 m board?
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[Assistant] 140


[User]
if a light flashes every 6 seconds, how many times will it flash in 1 / 2 of an hour?
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[Assistant] 301 times

[User]
the average runs scored by a batsman in 30 matches is 40. in the next 10 matches the batsman scored an average of 13 runs. find his average in all the 30 matches?
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[Assistant] 24.3

[User]
a retailer bought a shirt at wholesale and marked it up 80 % to its initial price of $ 36. by how many more dollars does he need to increase the price to achieve a 100 % markup?
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[Assistant] 4

[User]
in the city of san durango, 60 people own cats, dogs, or rabbits. if 30 people owned cats, 40 owned dogs, 16 owned rabbits, and 12 owned exactly two of the 3 types of pet, how many people owned all 3?
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[Assistant] 7

[User]
a certain company ’ s profit in 1996 was 17 percent greater than its profit in 1995, and its profit in 1997 was 25 percent greater than its profit in 1996. the company ’ s profit in 1997 was what percent greater than its profit in 1995?
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[Assistant] 46.25 %


[User]
a can give b 80 meters start and c 200 meters start in a kilometer race. how much start can b give c in a kilometer race?
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[Assistant] 130.43

[User]
what is the smallest no. that should be added to 45454 to make it exactly divisible by 9?
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[Assistant] 5

[User]
30 square stone slabs of equal size were needed to cover a floor area of 58.8 sq. m. find the length of each stone slab?
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[Assistant] 140 cm

[User]
nhai employs 100 men to build a highway of 2 km in 50 days working 8 hours a day. if in 25 days they completed 1 / 3 part of work. than how many more emploies should nhai hire to finish it in time working 10 hours a day
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[Assistant] 60

[User]
the average of first four prime numbers greater than 20 is?
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[Assistant] 30


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

[User]
the speed of a car increases by 2 kms after every one hour. if the distance travelling in the first one hour was 40 kms. what was the total distance traveled in 12 hours?
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[Assistant] 612 kms

[User]
in a house a hall is 20 m long, 15 m wide and 5 m high. its interior has to be covered with mat. what will be the total expenditure if it costs rs. 60 per square m?
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[Assistant] rs. 57000

[User]
in the coordinate plane, a circle centered on point ( - 3, - 3 ) passes through point ( 1, 1 ). what is the area of the circle?
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[Assistant] 32 π

[User]
a small island country of 5000 people has an emigration and immigration statistic per 500 persons of 50.4 and 15.4 respectively. how long will it take for the population to be half of its current number.
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[Assistant] 7.14


[User]
the average weight of a class of 20 boys was calculated to be 58.4 kgs and it was later found that one weight was misread as 56 kg instead of 66 kg. what is the correct weight?
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[Assistant] 58.9 kgs

[User]
in a certain store, the profit is 320 % of the cost. if the cost increases by 40 % but the selling price remains constant, approximately what percentage of the selling price is the profit
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[Assistant] 67 %

[User]
if the perimeter of a rectangular garden is 480 m, its length when its breadth is 100 m is?
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[Assistant] 140 m

[User]
a family pays $ 800 per year for an insurance plan that pays 60 percent of the first $ 1000 in expenses and 100 percent of all medical expenses thereafter. in any given year, the total amount paid by the family will equal the amount paid by the plan when the family's medical expenses total how much?
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[Assistant] $ 1,600

[User]
the h. c. f. of two numbers is 30 and the other two factors of their l. c. m. are 10 and 15. the larger of the two numbers is :
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[Assistant] 450


[User]
in a can, there is a mixture of milk and water in the ratio 4 : 5. if it is filled with an additional 10 litres of milk the can would be full and ratio of milk and water would become 6 : 5. find the capacity of the can?
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[Assistant] 55

[User]
in a particular state, 70 % of the counties received some rain on monday, and 50 % of the counties received some rain on tuesday. no rain fell either day in 20 % of the counties in the state. what percent of the counties received some rain on monday and tuesday?
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[Assistant] 40 %

[User]
a train passes a platform in 16 seconds. the same train passes a man standing on the platform in 10 seconds. if the speed of the train is 54 km / hr, the length of the platform is
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[Assistant] 90

[User]
a certain university will select 1 of 4 candidates eligible to fill a position in the mathematics department and 2 of 10 candidates eligible to fill 2 identical positions in the computer science department. if none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the 3 positions?
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[Assistant] 180

[User]
sum of two numbers is 25. first exceeds by 5 from the other. then the numbers will be?
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[Assistant] 15, 10


[User]
if 35 % of the 840 students at a certain college are enrolled in biology classes, how many students at the college are not enrolled in a biology class?
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[Assistant] 546

[User]
a train is 410 meter long is running at a speed of 45 km / hour. in what time will it pass a bridge of 140 meter length?
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[Assistant] 44 seconds

[User]
if a is thrice as fast as b and together can do a work in 30 days. in how many days a alone can do the work?
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[Assistant] 40

[User]
angelina walked 200 meters from her home to the grocery at a constant speed. she then walked 300 meters to the gym at double the speed. she spent 50 seconds less on her way from the grocery to the gym than on her way from home to the grocery. what was angelina's speed, in meters per second, from the grocery to the gym?
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[Assistant] 2

[User]
the sum of the ages of 5 children born at the intervals of 3 year each is 40 year. what is the age of the eldest child?
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[Assistant] 14 year


[User]
vishal invested 10 % more than trishul. trishul invested 10 % less than raghu. if the total sum of their investments is rs. 7225, how much amount did raghu invest?
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[Assistant] 2500

[User]
in a box of 8 pencils, a total of 2 are defective. if a customer buys 3 pencils selected at random from the box, what is the probability that neither pencils will be defective?
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[Assistant] 5 / 14

[User]
what is the area of square field whose side of length 17 m?
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[Assistant] 289

[User]
a sum is divided between a and b in the ratio of 1 : 2. a purchased a car from his part, which depreciates 14 2 / 7 % per annum and b deposited his amount in a bank, which pays him 20 % interest per annum compounded annually. by what percentage will the total sum of money increase after two years due to this investment pattern ( approximately ).
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[Assistant] 20.48 %

[User]
how many seconds will a train 100 meters long take to cross a bridge 250 meters long if the speed of the train is 36 kmph?
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[Assistant] 35 sec


[User]
two trains of length 100 m and 160 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. in what time will they be clear of each other from the moment they meet?
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[Assistant] 13 sec

[User]
pipe a fills a tank in 30 minutes. pipe b can fill the same tank 5 times as fast as pipe a. if both the pipes were kept open when the tank is empty, how much time will it take for the tank to overflow?
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[Assistant] 5 mins

[User]
the average age of a class of 15 students is 10 years. if the age of the teacher be included, then the average increased by 1 year. find the age of the teacher?
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[Assistant] 26

[User]
the sum of digits of a two digit number is 12, the difference between the digits is 4. find the number
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[Assistant] 84

[User]
find number which is 80 % less than 80.
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[Assistant] 16


[User]
there are some birds in cage, 1 / 3 rd fly away. then 2 / 5 th of the remaining left the cage, then 2 / 3 rd of the remaining left the cage. at last 8 were remaining. how many birds were in total?
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[Assistant] 60

[User]
x is 3 times as fast as y and working together, they can complete a work in 20 days. in how many days can y alone complete the work?
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[Assistant] 80 days

[User]
the cross - section of a cannel is a trapezium in shape. if the cannel is 9 m wide at the top and 7 m wide at the bottom and the area of cross - section is 560 sq m, the depth of cannel is?
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[Assistant] 70

[User]
of the diplomats who attended a summit conference : 20 spoke french, 32 did not speak hindi and 20 % of the diplomats spoke neither french nor hindi. if 10 % of the diplomats spoke both french and hindi, then how many diplomats attended the conference?
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[Assistant] 120

[User]
in a fuel station the service costs $ 1.75 per car, every liter of fuel costs 0.65 $. assuming that a company owns 12 cars and that every fuel tank contains 59 liters and they are all empty, how much money total will it cost to fuel all cars?
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[Assistant] 481.20 $


[User]
what is the nearest no. to 2304 which is divisible by 21?
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[Assistant] 2310

[User]
the population of a town is 10000. it increases annually at the rate of 25 % p. a. what will be its population after 2 years?
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[Assistant] 15625

[User]
when asked what the time is, a person answered that the amount of time left is 4 / 8 of the time already completed. what is the time.
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[Assistant] 4 pm

[User]
if x and y are integers, what is the least positive number of 24 x + 20 y?
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[Assistant] 4

[User]
of 25 applicants for a job, 14 had at least 4 years'experience, 18 had degrees, and 3 had less than 4 years'experience and did not have a degree. how many of the applicants had at least 4 years'experience and a degree?
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[Assistant] 10


[User]
the sector of a circle has radius of 28 cm and central angle 90 o. find its perimeter?
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[Assistant] 100 cm

[User]
jane makes toy bears. when she works with an assistant, she makes 80 percent more bears per week and works 10 percent fewer hours each week. having an assistant increases jane ’ s output of toy bears per hour by what percent?
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[Assistant] 100 %

[User]
3 * 11 + 3 * 12 + 3 * 15 + 11 =?
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[Assistant] 125

[User]
one pump drains one - half of a pond in 8 hours, and then a second pump starts draining the pond. the two pumps working together finish emptying the pond in one - half hour. how long would it take the second pump to drain the pond if it had to do the job alone?
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[Assistant] 1.1 hour

[User]
the speed of a car is 50 km in the first hour and 60 km in the second hour. what is the average speed of the car?
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[Assistant] 55 kmph


[User]
the top and bottom of a tower were seen to be at angles of depression 30 ° and 60 ° from the top of a hill of height 100 m. find the height of the tower
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[Assistant] 66.67 m

[User]
the age of the daughter is same as the digit in the mother's age, but in reverse order. in thirteen years mother will be twice as old as daughter will be then. what is the difference in their current age?
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[Assistant] 27

[User]
working together, wayne and his son can shovel the entire driveway in three hours. if wayne can shovel four times as fast as his son can, how many hours would it take for his son to shovel the entire driveway on his own?
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[Assistant] 5

[User]
a larger cube has 125 cubic inch as a volume and in the cube there are 125 smaller cubes such that their volume is 1 cubic inch. what is the difference between the surface areas ’ sum of the 125 smaller cubes and the surface area of the larger cube, in square inch?
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[Assistant] 600

[User]
the h. c. f. of two numbers is 12 and their l. c. m. is 600. if one of the number is 12, find the other?
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[Assistant] 600


[User]
if below equation are true 24 $ 6 = 64 35 $ 5 = 87 63 $ 7 = 99 by using same logic what is the value of the below question 88 $ 8 =?
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[Assistant] 1611

[User]
the average weight of 10 persons increases by 3.2 kg when a new person comes in place of one of them weighing 65 kg. what might be the weight of the new person?
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[Assistant] 97 kg

[User]
the average of runs of a cricket player of 10 innings was 37. how many runs must he make in his next innings so as to increase his average of runs by 4?
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[Assistant] 81

[User]
a, b, and c started a partnership business by investing $ 45,000, $ 63,000, and $ 72,000 respectively. at the end of the year, the profit was distributed among them. if c's share of profit is $ 24,000, what is the total profit?
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[Assistant] $ 60,000

[User]
what will be the vulgar fraction of 0.75
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[Assistant] 3 / 4


[User]
a company decreased the price of its main product by 75 %. subsequently, the number of units sold increased such that the total revenue remained unchanged. what was the ratio of the percent increase in the units sold to the percent decrease of the original price for this product?
Answer the question using a single word or phrase.

[Assistant] 1.33

[User]
a's speed is 15 / 13 times that of b. if a and b run a race, what part of the length of the race should a give b as a head start, so that b beats a by 25 % of the length of the race?
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[Assistant] 35 %

[User]
company c sells a line of 20 products with an average retail price of $ 1200. if none of these products sells for less than $ 400, and exactly 10 of the products sell for less than $ 1000, what is the greatest possible selling price of the most expensive product?
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[Assistant] 11000

[User]
in a box of 6 pencils, a total of 2 are defective. if a customer buys 3 pencils selected at random from the box, what is the probability that neither pencils will be defective?
Answer the question using a single word or phrase.

[Assistant] 1 / 5

[User]
a candidate appearing for an examination has to secure 52 % marks to pass paper i. but he secured only 45 marks and failed by 35 marks. what is the maximum mark for paper i?
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[Assistant] 154


[User]
jim drove 768 miles of a 1200 miles journey. how many more miles does he need to drive to finish his journey?
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[Assistant] 432 miles

[User]
if | 20 x - 10 | = 110, then find the product of the values of x?
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[Assistant] - 30

[User]
when positive integer n is divided by positive integer j, the remainder is 10. if n / j = 205.08, what is value of j?
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[Assistant] 125

[User]
in a certain kindergarten, half of the children are allergic to peanuts, 10 children are not allergic to cashew nuts, 10 children are allergic to both peanuts and cashew nuts, and 18 children are allergic to cashew nuts. how many of the kindergarten's children are not allergic to peanuts and are not allergic to cashew nuts?
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[Assistant] 6

[User]
a train 1100 m long is running at a speed of 78 km / hr. if it crosses a tunnel in 1 min, then the length of the tunnel is?
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[Assistant] 200 m


[User]
the sum of number of boys and girls in a school is 300. if the number of boys is x, then the number of girls becomes x % of the total number of students. the number of boys is?
Answer the question using a single word or phrase.

[Assistant] 75

[User]
on a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. on the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. on both days, all the orangeade that was made was sold. if the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $ 0.82 per glass on the first day, what was the price per glass on the second day?
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[Assistant] $ 0.55

[User]
the megatek corporation is displaying its distribution of employees by department in a circle graph. the size of each sector of the graph representing a department is proportional to the percentage of total employees in that department. if the section of the circle graph representing the manufacturing department takes up 162 ° of the circle, what percentage of megatek employees are in manufacturing?
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[Assistant] 45 %

[User]
1100 boys and 700 girls are examined in a test ; 42 % of the boys and 30 % of the girls pass. the percentage of the total who failed is?
Answer the question using a single word or phrase.

[Assistant] 63.3 %

[User]
john makes $ 60 a week from his job. he earns a raise and nowmakes $ 70 a week. what is the % increase?
Answer the question using a single word or phrase.

[Assistant] 16.66 %


[User]
two heavily loaded sixteen - wheeler transport trucks are 690 kilometers apart, sitting at two rest stops on opposite sides of the same highway. driver a begins heading down the highway driving at an average speed of 90 kilometers per hour. exactly one hour later, driver b starts down the highway toward driver a, maintaining an average speed of 80 kilometers per hour. how many kilometers farther than driver b, will driver a have driven when they meet and pass each other on the highway?
Answer the question using a single word or phrase.

[Assistant] 120

[User]
on a map the distance between two mountains is 312 inches. the actual distance between the mountains is 136 km. ram is camped at a location that on the map is 42 inch from the base of the mountain. how many km is he from the base of the mountain?
Answer the question using a single word or phrase.

[Assistant] 18.3

[User]
on a certain day, tim invested $ 500 at 10 percent annual interest, compounded annually, and lana invested 800 at 5 percent annual interest, compounded annually. the total amount of interest earned by tim ’ s investment in the first 2 years was how much greater than the total amount of interest earned by lana ’ s investment in the first 2 years?
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[Assistant] $ 23

[User]
the h. c. f of two numbers is 11 and their l. c. m is 7700. if one of the numbers is 275, then the other is :
Answer the question using a single word or phrase.

[Assistant] 308

[User]
in measuring the sides of a rectangle, one side is taken 8 % in excess and other 5 % in deficit. find the error percentage in the area calculated from these measurements.
Answer the question using a single word or phrase.

[Assistant] 2.6 %


[User]
every year an amount increases by 1 / 8 th of itself. how much will it be after two years if its present value is rs. 3200?
Answer the question using a single word or phrase.

[Assistant] 4050

[User]
on a certain test, bill scored 20 more points than john, but half as many points as sue. if the sum of the scores of the 3 students was 160 points, how many points did bill receive?
Answer the question using a single word or phrase.

[Assistant] 45

[User]
two vessels having volumes in the ratio 3 : 5 are filled with water and milk solutions. the ratio of milk and water in the two vessels are 2 : 3 and 3 : 1 respectively. if the contents of both the vessel are empties into a larger vessel, find the ratio of milk and water in the larger vessel.
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[Assistant] 99 : 61

[User]
a man swims downstream 45 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water?
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[Assistant] 10.5

[User]
the product of two successive numbers is 1122. which is the smaller of the two numbers?
Answer the question using a single word or phrase.

[Assistant] 33


[User]
a library has an average of 630 visitors on sundays and 240 on other days. the average number of visitors per day in a month of 30 days beginning with a sunday is :
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[Assistant] 305

[User]
the sale price of a trolley bag including the sale tax is rs. 1232. the rate of sale tax is 10 %. if the shopkeeper has made a profit of 12 %, the cost price of the trolley bag is :
Answer the question using a single word or phrase.

[Assistant] rs 1000

[User]
rs 4000 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] rs 2800

[User]
a train of 24 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. in what time will the train cross a bridge 4.5 km long?
Answer the question using a single word or phrase.

[Assistant] 6

[User]
the only items of clothing at michelle ’ s boutique are 4 shirts, 8 pairs of pants and 18 ties. what is the probability of randomly selecting 2 ties out of all the items in michelle ’ s boutique?
Answer the question using a single word or phrase.

[Assistant] 51 / 145


[User]
in a sample of 800 high school students in which all students are either freshmen, sophomores, juniors, or seniors, 26 percent are juniors and 75 percent are not sophomores. if there are 160 seniors, how many more freshmen than sophomores are there among the sample of students?
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[Assistant] 32

[User]
mary and mike enter into a partnership by investing $ 900 and $ 100 respectively. at the end of one year, they divided their profits such that a third of the profit is divided equally for the efforts they have put into the business and the remaining amount of profit is divided in the ratio of the investments they made in the business. if mary received $ 1600 more than mike did, what was the profit made by their business in that year?
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[Assistant] $ 3000

[User]
if 63 percent of a class answered the first question on a certain test correctly, 49 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly?
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[Assistant] 32 %

[User]
the speed of a boat in still water is 12 kmph. what is the speed of the stream if the boat can cover 32 km downstream or 16 km upstream in the same time?
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[Assistant] 4 kmph

[User]
the average age of students of a class is 15.8 years. the average age of boys in the class is 16.4 years and that of the girls is 15.4 years. the ration of the number of boys to the number of girls in the class is?
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[Assistant] 2 : 3


[User]
country c imposes a two - tiered tax on imported cars : the first tier imposes a tax of 15 % of the car's price up to a certain price level. if the car's price is higher than the first tier's level, the tax on the portion of the price that exceeds this value is 10 %. if ron imported a $ 15,000 imported car and ended up paying $ 1800 in taxes, what is the first tier's price level?
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[Assistant] $ 6000

[User]
in what time will a train 90 meters long cross an electric pole, if its speed is 124 km / hr
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[Assistant] 2.6 seconds

[User]
what is the rate percent when the simple interest on rs. 600 amount to rs. 160 in 4 years?
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[Assistant] 6.66 %

[User]
find two integers, neither of which ends in a zero, and whose product is exactly 10, 000,000
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[Assistant] 128 and 78,125

[User]
a & b started a partnership business. a's investment was thrice the investment of b and the period of his investment was two times the period of investments of b. if b received rs 3000 as profit, what is their total profit?
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[Assistant] 21000


[User]
a person crosses a 1080 m long street in 10 minutes. what is his speed in km per hour?
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[Assistant] 6.4

[User]
exactly 12 % of the reporters for a certain wire service cover local politics in country x. if 40 % of the reporters who cover politics for the wire service do not cover local politics in country x, what percent of the reporters for the wire service do not cover politics?
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[Assistant] 80 %

[User]
a man can row his boat with the stream at 6 km / h and against the stream in 3 km / h. the man's rate is?
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[Assistant] 1.5 kmph

[User]
ronald and elan are working on an assignment. ronald takes 6 hours to type 32 pages on a computer, while elan takes 5 hours to type 40 pages. how much time will they take, working together on two different computers to type an assignment of 110 pages?
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[Assistant] 8 hours

[User]
an error 2 % in excess is made while measuring the side of a square. the percentage of error in the calculated area of the square is?
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[Assistant] 4.04 %


[User]
the difference between a number and its two - fifth is 510. what is 50 % of that number?
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[Assistant] 425

[User]
a dishonest milkman wants to make a profit on the selling of milk. he would like to mix water ( costing nothing ) with milk costing rs. 46 per litre so as to make a profit of 20 % on cost when he sells the resulting milk and water mixture for rs. 54 in what ratio should he mix the water and milk?
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[Assistant] 1 : 45

[User]
a train 441 m long can cross an electric pole in 21 sec and then find the speed of the train?
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[Assistant] 76 kmph

[User]
a can run 4 times as fast as b and gives b a start of 75 m. how long should the race course be so that a and b might reach in the same time?
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[Assistant] 100 m

[User]
when the price of an article was reduced by 15 % its sale increased by 80 %. what was the net effect on the sale?
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[Assistant] 53 % increase


[User]
a certain characteristic in a large population has a distribution that is symmetric about the mean m. if 64 percent of the distribution lies within one standard deviation d of the mean, what percent of the distribution is less than m + d?
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[Assistant] 82 %

[User]
two trains of equal are running on parallel lines in the same direction at 46 km / hr and 36 km / hr. the faster train passes the slower train in 27 sec. the length of each train is?
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[Assistant] 37.5

[User]
sam ’ s car was fined when he gave joe and peter a ride, so they decided to help sam pay the fine. joe paid $ 7 more than 1 / 4 of the fine and peter paid $ 7 less than 1 / 3 of the fine, leaving pay $ 12 less than 1 / 2 the fine to complete the payment. what fraction of the fine did sam pay?
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[Assistant] $ 60

[User]
if two projectiles are launched at the same moment from 1998 km apart and travel directly towards each other at 444 km per hour and 555 km per hour respectively, how many minutes will it take for them to meet?
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[Assistant] 120

[User]
after spending rs. 5000 on rent, rs. 1500 on milk, rs. 4500 on groceries, rs. 2500 on childrens education rs. 2000 on petrol and rs. 5650 on miscellaneous expenses, mr. kishore saved 10 % of his monthly salary. how much did he save in rs.?
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[Assistant] 2350


[User]
an assembly line produces 90 cogs per hour until an initial order of 60 cogs is completed. the speed of the assembly line is then immediately decreased so that it only produces 60 cogs per hour until another 60 cogs are produced. what is the overall average output, in cogs per hour, for the assembly line during this whole time?
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[Assistant] 72

[User]
there has been successive increases of 25 % and then 15 % in the price of gas from the previous month. by what percentage should a driver reduce gas consumption so that the expenditure does not change?
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[Assistant] 30 %

[User]
a train covers a distance of 12 km in 5 min. if it takes 6 sec to pass a telegraph post, then the length of the train is?
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[Assistant] 240 m

[User]
ab + ba ___ 202 in the addition problem above, a and b represent digits in two different two - digit numbers. what is the sum of a and b?
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[Assistant] 20

[User]
an industrial loom weaves 0.128 metres of cloth every second. approximately, how many seconds will it take for the loom to weave 29 metre of cloth?
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[Assistant] 227 seconds


[User]
a rainstorm increased the amount of water stored in state j reservoirs from 125 billion gallons to 150 billion gallons. if the storm increased the amount of water in the reservoirs to 80 percent of total capacity, approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm?
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[Assistant] 44

[User]
if ( a – b ) is 7 more than ( c + d ) and ( a + b ) is 3 less than ( c – d ), then ( a – c ) is :
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[Assistant] 2

[User]
a man is 27 years older than his son. in two years, his age will be twice the age of his son. the present age of the son is?
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[Assistant] 25

[User]
john distributes his pencil among his 4 friends rose, mary, ranjan, and rohit in the ratio 1 / 2 : 1 / 3 : 1 / 4 : 1 / 5. what is the minimum no. of pencils that the person should have?
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[Assistant] 77

[User]
a particular library has 75 books in a special collection, all of which were in the library at the beginning of the month. these book are occasionally loaned out through an inter - library program. if, by the end of the month, 70 percent of books that were loaned out are returned and there are 63 books in the special collection at that time, how many books of the special collection were loaned out during that month?
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[Assistant] 40


[User]
all the faces of cubes are painted with red colour. it is then cut into 64 equal small cubes. find how many small cubes have no faces coloured?
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[Assistant] 8

[User]
[ ( 3.242 x 16 ) / 100 ] =?
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[Assistant] 0.051872

[User]
sabrina is contemplating a job switch. she is thinking of leaving her job paying $ 90000 per year to accept a sales job paying $ 45000 per year plus 15 percent commission for each sale made. if each of her sales is for $ 1500, what is the least number of sales she must make per year if she is not to lose money because of the job change?
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[Assistant] 200

[User]
if ( 1 – 1.25 ) n = 2, then n =
Answer the question using a single word or phrase.

[Assistant] − 8

[User]
a computer manufacturer produces a certain electronic component at a cost of $ 80 per component. shipping costs for delivering the components are $ 6 per unit. further, the manufacturer has costs of $ 16,500 a month related to the electronic component regardless of how many it produces. if the manufacturer produces and sells 150 components a month, what is the lowest price it can sell them for such that the costs do n't exceed the revenues?
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[Assistant] $ 196


[User]
an outlet pipe can empty 2 / 3 of a cistern in 16 minutes. in 8 minutes, what part of the cistern will be emptied?
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[Assistant] 1 / 3

[User]
if a ã — b = 2 a - 3 b + ab, then 3 ã — 4 + 4 ã — 3 is equal to :
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[Assistant] 17

[User]
the simple interest on a sum of money will be rs. 1000 after 10 years. if the principal is trebled after 5 years what will be the total interest at the end of the tenth year?
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[Assistant] 2000

[User]
the cash difference between the selling prices of an article at a profit of 4 % and 8 % is rs. 3. the ratio of the two selling prices is?
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[Assistant] 52 : 54

[User]
if shares of two persons in profits are rs. 700 and rs. 300 then ratio of their capitals is
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[Assistant] 7 : 3


[User]
a rectangular room has the rectangular shaped rug shown as above figure such that the rug ’ s area is 160 square feet and its length is 6 feet longer than its width. if the uniform width between the rug and room is 6 feet, what is the area of the region uncovered by the rug ( shaded region ), in square feet?
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[Assistant] 456

[User]
an advertising agency finds that, of its 180 clients, 115 use television, 110 use radio and 130 use magazines. also, 85 use television and magazines, 75 use television and radio, 95 use radio and magazines. how many use all the 3?
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[Assistant] 80

[User]
8 friends met for lunch at an expensive restaurant, and everyone decided to contribute equally to the total bill of $ 290. if one of the friends had a coupon for 29 % off the total bill, and if each friend still contributed equally after the coupon was applied to the bill, how much did each friend pay?
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[Assistant] $ 25

[User]
during a car trip, maria stopped to rest after she traveled 1 / 2 of the total distance to her destination. she stopped again after she traveled 1 / 4 of the distance remaining between her first stop and her destination, and then she drove the remaining 210 miles to her detination. what was the total distance, in miles from maria's starting point to her destination?
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[Assistant] 560

[User]
a train 1000 m long can cross an electric pole in 200 sec and then find the speed of the train?
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[Assistant] 18


[User]
joshua and jose work at an auto repair center with 6 other workers. for a survey on health care insurance, 2 of the 6 workers will be randomly chosen to be interviewed. what is the probability that joshua and jose will both be chosen?
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[Assistant] 1 / 28

[User]
what is the units digit of 63 ^ 3 * 17 ^ 3 * 49 ^ 3?
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[Assistant] 9

[User]
what is the probability of randomly selecting an arrangement of the letters of the word ` ` mediterranean ''in which the first letter is e and the last letter is r?
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[Assistant] 1 / 26

[User]
10 business executives and 3 chairmen meet at a conference. if each business executive shakes the hand of every other business executive and every chairman once, and each chairman shakes the hand of each of the business executives but not the other chairmen, how many handshakes would take place?
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[Assistant] 75

[User]
a goods train runs at a speed of 72 kmph and crosses a 280 m long platform in 26 seconds. what is the length of the goods train?
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[Assistant] 240 m


[User]
on rainy mornings, mo drinks exactly n cups of hot chocolate ( assume that n is an integer ). on mornings that are not rainy, mo drinks exactly 4 cups of tea. last week mo drank a total of 26 cups of tea and hot chocolate together. if during that week mo drank 14 more tea cups than hot chocolate cups, then how many rainy days were there last week?
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[Assistant] 2

[User]
the market value of a certain machine decreased by 25 percent of its purchase price each year. if the machine was purchased in 1982 for its market value of $ 8,000, what was its market value two years later?
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[Assistant] $ 4,000

[User]
if n is a prime number greater than 3, what is the remainder when n ^ 2 is divided by 12?
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[Assistant] 1

[User]
in the manufacture of a certain product, 10 percent of the units produced are defective and 5 percent of the defective units are shipped for sale. what percent of the units produced are defective units that are shipped for sale?
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[Assistant] 0.5 %

[User]
convert 300 inches into centimeter?
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[Assistant] 754 cm


[User]
a boat goes 130 km downstream in 10 hours, and 75 km upstream in 15 hours. the speed of the stream is?
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[Assistant] 4

[User]
pat, kate, and mark charged a total of 135 hours to a certain project. if pat charged twice as much time to the project as kate and 1 / 3 as much time as mark, how many more hours did mark charge to the project than kate?
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[Assistant] 75

[User]
sum of the squares of 3 no. is 52 and the sum of their products taken two at a time is 72. find the sum?
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[Assistant] 14

[User]
a bag contains 3 red, 2 yellow and 4 green balls. 3 balls are drawn randomly. what is the probability that the balls drawn contain balls of different colours?
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[Assistant] 2 / 7

[User]
how many seconds will a 650 m long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 48 km / hr?
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[Assistant] 54


[User]
when positive integer n is divided by 3, the remainder is 2. when n is divided by 7, the remainder is 6. how many values less than 100 can n take?
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[Assistant] 6

[User]
what is the unit digit in [ ( 6273 ) ^ 1793 x ( 625 ) ^ 317 x ( 341 ) ^ 491 ]?
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[Assistant] 0

[User]
what is the rate percent when the simple interest on rs. 780 amount to rs. 130 in 4 years?
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[Assistant] 4.16

[User]
the cross - section of a river bank is a trapezium in shape. if the river bank is 12 m wide at the top and 8 m wide at the bottom and the area of cross - section is 500 sq m, the depth of river bank is?
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[Assistant] 50 m

[User]
what ratio must a shopkeeper mix peas and soybean of rs. 16 and rs. 25 / kg, as to obtain a mixture of rs. 19?
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[Assistant] 2 : 1


[User]
x can do a piece of work in 20 days. he works at it for 10 days and then y finished it in 12 days. how long will y take to complete the work?
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[Assistant] 24

[User]
a man can row upstream at 27 kmph and downstream at 35 kmph, and then find the speed of the man in still water?
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[Assistant] 31

[User]
for any positive integer n, the sum of the first n positive integers equals n ( n + 1 ) / 2. what is the sum m of all the even integers between 99 and 301?
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[Assistant] 20,200

[User]
by how much does the larger root of the equation 2 a ^ 2 + 5 a = 12 exceed the smaller root?
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[Assistant] 11 / 2

[User]
if x + 1 / x = 2 then find x 2 + 1 / x 2
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[Assistant] 2


[User]
find large no. from below question the difference of two numbers is 1365. on dividing the larger number by the smaller, we get 6 as quotient and the 5 as remainder
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[Assistant] 1637

[User]
the sum of ages of 10 children born at the intervals of 1 years each is 105 years. what is the age of the youngest child?
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[Assistant] 6

[User]
a pipe can fill a cistern in 33 minutes. find the time in which 1 / 11 part of the cistern will be filled?
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[Assistant] 3 min

[User]
a wooden cube whose edge length is 8 inches is composed of smaller cubes with edge lengths of one inch. the outside surface of the large cube is painted red and then it is split up into its smaller cubes. if one cube is randomly selected from the small cubes, what is the probability that the cube will have at least one red face?
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[Assistant] 57.8 %

[User]
x can do a piece of work in 40 days. he works at it for 8 days and then y finished it in 36 days. how long will y take to complete the work?
Answer the question using a single word or phrase.

[Assistant] 45


[User]
mr. hanson has a pool of money from which to give out christmas bonuses to his 5 employees. he wants all his employees to have identical bonuses, but when he divides them out, he finds he has 2 dollars left over, as the payroll system will only accept whole dollar amounts. the next christmas, mr. hanson discovers the pool for the bonuses is 3 times the size. this time, how much money will be left over?
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[Assistant] 1

[User]
calculate 469138 x 9999 =?
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[Assistant] 4690910862

[User]
the cash difference between the selling prices of an book at a profit of 8 % and 16 % is $ 3. the ratio of the two selling prices is :
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[Assistant] 27 : 29

[User]
if a rectangular billboard has an area of 117 square feet and a perimeter of 44 feet, what is the length of each of the shorter sides?
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[Assistant] 9

[User]
bird is flying 120 km / hr between b to r. two trains at b to r at 60 kmph. the distance traveled by the bird before it is killed?
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[Assistant] 120 kms.


[User]
if i earn a profit 50 $ in a day and i have 9 employees. after keeping 10 percent profit for me, and distribute remianing money equally among my employees then how much each employee would get?
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[Assistant] $ 5

[User]
a 14 % stock yields 8 %. the market value of the stock is :
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[Assistant] rs. 175

[User]
in the third grade of windblown school there are 84 students, one third of them failed the math test and 1 / 6 failed that literature test. at least how many students failed both tests?
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[Assistant] 0.

[User]
the diameters of two spheres are in the ratio 1 : 2 what is the ratio of their volumes?
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[Assistant] 1 : 8

[User]
find the number of shares that can be bought for rs. 8200 if the market value is rs. 25 each with brokerage being 2.5 %.
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[Assistant] 320


[User]
find the distance covered by a man walking for 30 min at a speed of 10 km / hr?
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[Assistant] 5 km

[User]
a certain ball team has an equal number of right - and left - handed players. on a certain day, two - thirds of the players were absent from practice. of the players at practice that day, one - third were right handed. what is the ratio of the number of right - handed players who were not at practice that day to the number of left handed players who were not at practice?
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[Assistant] 7 / 5

[User]
a container holding 12 ounces of a solution that is 1 part alcohol to 2 parts water is added to a container holding 4 ounces of a solution that is 1 part alcohol to 3 parts water. what is the ratio of alcohol to water in the resulting solution?
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[Assistant] 5 : 11

[User]
the number which exceeds 16 % of it by 84 is :
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[Assistant] 100

[User]
find the principal which yields a simple interest of rs. 20 and compound interest of rs. 21 in two years, at the same percent rate per annum?
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[Assistant] rs. 200


[User]
ratio between rahul and deepak is 4 : 3, after 4 years rahul age will be 32 years. what is deepak present age.
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[Assistant] 21

[User]
a train 850 m long is running at a speed of 78 km / hr. if it crosses a tunnel in 1 min, then the length of the tunnel is?
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[Assistant] 450

[User]
in a certain company, a third of the workers do not have a retirement plan. 20 % of the workers who do not have a retirement plan are women, and 40 % of the workers who do have a retirement plan are men. if 140 of the workers of that company are men, how many of the workers are women?
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[Assistant] 85

[User]
if p ( a ) = 2 / 15, p ( b ) = 4 / 15, and p ( a ∪ b ) = 6 / 15 find p ( a | b )
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[Assistant] 3 / 2

[User]
worker a takes 8 hours to do a job. worker b takes 6 hours to do the same job. how long it take both a & b, working together but independently, to do the same job?
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[Assistant] 24 / 7


[User]
the length of the rectangular field is double its width. inside the field there is square shaped pond 7 m long. if the area of the pond is 1 / 8 of the area of the field. what is the length of the field?
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[Assistant] 28

[User]
how many numbers from 32 to 97 are exactly divisible by 9?
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[Assistant] 7

[User]
the distance from the x - axis to point p is half the distance from the y - axis to point p. if the coordinates of p are ( x, - 4 ), how many units is p from the y - axis?
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[Assistant] 8

[User]
if 20 men can build a wall 66 metres long in 4 days, what length of a similar can be built by 86 men in 8 days?
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[Assistant] 567.6 mtrs

[User]
the price of a coat in a certain store is $ 500. if the price of the coat is to be reduced by $ 250, by what percent is the price to be reduced?
Answer the question using a single word or phrase.

[Assistant] 50 %


[User]
in a certain pond, 60 fish were caught, tagged, and returned to the pond. a few days later, 60 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 ` s the approximate number of fish in the pond?
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[Assistant] 1818

[User]
a man walking at a rate of 15 km / hr crosses a bridge in 10 minutes. the length of the bridge is?
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[Assistant] 500 m

[User]
12 + 13 + 14 +... 61 + 62 + 63 =?
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[Assistant] 1950

[User]
tickets numbered from 1 to 21 are mixed and then a ticket is selected randomly. what is the probability that the selected ticket bears a number which is a multiple of 3?
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[Assistant] 1 / 3

[User]
a sum was put at simple interest at certain rate for 3 years. had it been put at 1 % higher rate it would have fetched rs. 63 more. the sum is : a. rs. 2,400 b. rs. 2,100 c. rs. 2,200 d. rs. 2,480
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[Assistant] 2100


[User]
( 128.5 x 64 ) + ( 13.8 x 465 ) =? x 25
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[Assistant] 585.64

[User]
128 students represent x percent of the boys at a school. if the boys at the school make up 50 % of the total school population of x students, what is x?
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[Assistant] 160

[User]
a basket contains 5 apples, of which 1 is spoiled and the rest are good. if henry is to select 2 apples from the basket simultaneously and at random, what is the possibility that the 2 apples selected will include the spoiled apple?
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[Assistant] 2 / 5

[User]
the difference in compound interest earned on a deposit ( compounded annually ) in year 1 and year 2 is $ 40. had the interest rate been 3 times its present value, the difference w would have been how much?
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[Assistant] 360

[User]
the sides of a rectangular field are in the ratio 3 : 4. if the area of the field is 7500 sq. m, the cost of fencing the field @ 25 paise per metre is
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[Assistant] rs. 87.50


[User]
the percentage increase in the area of a rectangle, if each of its sides is increased by 20 % is
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[Assistant] 44 %

[User]
what is the value of ( p + q ) / ( p - q ) if p / q is 5?
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[Assistant] 3 / 2

[User]
find the area of the quadrilateral of one of its diagonals is 28 cm and its off sets 8 cm and 2 cm?
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[Assistant] 140 cm 2

[User]
3 machines operating independently, simultaneously, and at the same constant rate can fill a certain production order in 44 hours. if one additional machine were used under the same operating conditions, in how manyfewerhours of simultaneous operation could the production order be fulfilled?
Answer the question using a single word or phrase.

[Assistant] 11

[User]
in a certain business school class, p students are accounting majors, q students are finance majors, r students are marketing majors, and s students are strategy majors. if pqrs = 1365, and if 1 < p < q < r < s, how many students in the class are accounting majors?
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[Assistant] 3


[User]
a train 250 m long is running at a speed of 58 kmph. how long does it take to pass a man who is running at 8 kmph in the same direction as the train?
Answer the question using a single word or phrase.

[Assistant] 18 sec

[User]
line m lies in the xy - plane. the y - intercept of line m is - 2, and line m passes through the midpoint of the line segment whose endpoints are ( 2, 4 ) and ( 6, - 10 ). what is the slope of line m?
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[Assistant] 1

[User]
on a certain transatlantic crossing, 20 percent of a ship's passengers held round - trip tickets and also took their cars abroad the ship. if 50 percent of the passengers with round - trip tickets did not take their cars abroad the ship, what percent of the ship's passengers held round - trip tickets?
Answer the question using a single word or phrase.

[Assistant] 40 %

[User]
in the fifth grade at parkway elementary school there are 420 students. 312 students are boys and 250 students are playing soccer. 86 % of the students that play soccer are boys. how many girl student are in parkway that is not playing soccer?
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[Assistant] 73.

[User]
a mobile battery in 1 hour charges to 20 percent. how much time ( in minute ) will it require more to charge to 60 percent.
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[Assistant] 180


[User]
if n is an integer, f ( n ) = f ( n - 1 ) - n and f ( 4 ) = 14. what is the value of f ( 6 )?
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[Assistant] 3

[User]
the banker â € ™ s discount of a certain sum of money is rs. 80 and the true discount on the same sum for the same time is rs. 70. the sum due is
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[Assistant] 560

[User]
in what time will a train 150 m long cross an electric pole, it its speed be 144 km / hr?
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[Assistant] 3.8 sec

[User]
from a container having pure milk, 10 % is replaced by water and the process is repeated twice. at the end of the second operation, the milk is?
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[Assistant] 81 %

[User]
what is the smallest number which, when increased by 9, is divisible by 8, 11, and 24?
Answer the question using a single word or phrase.

[Assistant] 255


[User]
in a hostel there were 100 students. to accommodate 25 more students the average is decreased by rupees 10. but total expenditure increased by rs. 500. find the total expenditure of the hostel now?
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[Assistant] 7500

[User]
the area of a square is 4356 sq cm. find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square.
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[Assistant] 7 : 22

[User]
pat, kate, and mark charged a total of 144 hours to a certain project. if pat charged twice as much time to the project as kate and 1 / 3 as much time as mark, how many more hours did mark charge to the project than kate?
Answer the question using a single word or phrase.

[Assistant] 80

[User]
at the end of the first quarter, the share price of a certain mutual fund was 30 percent higher than it was at the beginning of the year. at the end of the second quarter, the share price was 50 percent higher than it was at the beginning of the year. what was the percent increase in the share price from the end of the first quarter to the end of the second quarter?
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[Assistant] 15.3 %

[User]
a grocer has a sale of rs. 5420, rs. 5660, rs. 6200, rs. 6350 and rs. 6500 for 5 consecutive months. find the sale he should have in the sixth month, so that he gets an average sale of rs. 6200?
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[Assistant] rs. 7070


[User]
the population of a bacteria culture doubles every 2 minutes. approximately how many minutes will it take for the population to grow from 1,000 to 1, 000,000 bacteria
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[Assistant] 20

[User]
the present worth of rs. 1183 due in 2 years at 4 % per annum compound interest is
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[Assistant] rs. 1093.75

[User]
the c. p of 20 pens is equal to the s. p of 12 pens. find his gain % or loss %?
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[Assistant] 40 %

[User]
how many multiples of 4 are there between 16 and 112, inclusive?
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[Assistant] 25

[User]
jill has 35 gallons of water stored in quart, half - gallon, and one gallon jars. she has equal numbers of each size jar holding the liquid. what is the total number of water filled jars?
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[Assistant] 60


[User]
a cycle is bought for rs. 850 and sold for rs. 1080, find the gain percent?
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[Assistant] 27

[User]
the number of singles that a baseball player hit increased 5 percent from her first season to her second season, and the number of doubles that she hit in the same time period decreased by 2 percent. if the total number of singles and doubles that she hit increased 2 percent from her first season to her second season, what is the ratio of the number of singles she hit in her first season to the number of doubles she hit in her first season?
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[Assistant] 4 : 3

[User]
a person is traveling at 25 km / hr and reached his destiny in 5 hr find the distance?
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[Assistant] 125 km

[User]
in a theater, the first row has 14 seats and each row has 3 more seats than previous row. if the last row has 50 seats, what is the total number of seats in the theater?
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[Assistant] 416

[User]
a train 200 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?
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[Assistant] 115 kmph


[User]
8 ^ 100 is divisible by 17 then find the remainder?
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[Assistant] 16

[User]
a student scored an average of 80 marks in 3 subjects : physics, chemistry and mathematics. if the average marks in physics and mathematics is 90 and that in physics and chemistry is 70, what are the marks in physics?
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[Assistant] 80

[User]
in an election, candidate douglas won 54 percent of the total vote in counties x and y. he won 62 percent of the vote in county x. if the ratio of people who voted in county x to county y is 2 : 1, what percent of the vote did candidate douglas win in county y?
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[Assistant] 38 %

[User]
the radius of a wheel is 14.6 cm. what is the distance covered by the wheel in making 100 resolutions?
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[Assistant] 91.688 m

[User]
harold and millicent are getting married and need to combine their already - full libraries. if harold, who has 1 / 2 as many books as millicent, brings 1 / 3 of his books to their new home, then millicent will have enough room to bring 1 / 2 of her books to their new home. what fraction of millicent's old library capacity is the new home's library capacity
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[Assistant] 5 / 6


[User]
on dividing a number by 8, we get 8 as quotient and 0 as remainder. on dividing the same number by 5, what will be the remainder?
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[Assistant] 4

[User]
what are the last two digits of ( 301 * 402 * 503 * 604 * 646 * 547 * 448 * 348 ) ^ 2
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[Assistant] 86

[User]
the number of sailors on a ship is 82 % more than the number of officers. the ratio of sailors to officers would be
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[Assistant] 91 : 50

[User]
let f ( x, y ) be defined as the remainder when ( x – y )! is divided by x. if x = 50, what is the maximum value of y for which f ( x, y ) = 0?
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[Assistant] 40

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

[Assistant] 18


[User]
the speed of a railway engine is 84 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 :
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[Assistant] 17

[User]
a train covers a distance of 90 km in 20 min. if it takes 9 sec to pass a telegraph post, then the length of the train is?
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[Assistant] 675

[User]
3 men and 8 women complete a task in same time as 6 men and 2 women do. how much fraction of work will be finished in same time if 3 men and 2 women will do that task.
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[Assistant] 4 / 7

[User]
a third of arun â € ™ s marks in mathematics exceed a half of his marks in english by 20. if he got 360 marks in two subjects together how many marks did he got in english?
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[Assistant] 240,120

[User]
in an ngo the daily average wages of 20 illiterate employees is decreased from rs. 25 to rs. 10, thus the average salary of all the literate and illiterate employees is decreased rs. 10 per day. the no. of educated employees working in the ngo is?
Answer the question using a single word or phrase.

[Assistant] 10


[User]
a and b can do a work in 4 days, b and c in 5 days, c and a in 7 days. if a, b and c work together, they will complete the work in?
Answer the question using a single word or phrase.

[Assistant] 3 days

[User]
there are 9 pairs of socks and 2 socks are worn from that such that the pair of socks worn are not of the same pair. what is the number of pair that can be formed.
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[Assistant] 72

[User]
how many cubes of 3 cm edge can be cut out of a cube of 18 cm edge
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[Assistant] 216

[User]
600 x 223 + 600 x 77 =?
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[Assistant] 180000

[User]
a volume of 10976 l water is in a container of sphere. how many hemisphere of volume 4 l each will be required to transfer all the water into the small hemispheres?
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[Assistant] 2744


[User]
at the end of the day, february 14 th, a florist had 150 roses left in his shop, all of which were red, white or pink in color and either long or short - stemmed. a third of the roses were short - stemmed, 20 of which were white and 15 of which were pink. the percentage of pink roses that were short - stemmed equaled the percentage of red roses that were short - stemmed. if none of the long - stemmed roses were white, what percentage of the long - stemmed roses were red?
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[Assistant] 50 %

[User]
a discount electronics store normally sells all merchandise at a discount of 10 percent to 30 percent off the suggested retail price. if, during a special sale, an additional 20 percent were to be deducted from the discount price, what would be the lowest possible price of an item costing $ 260 before any discount?
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[Assistant] $ 145.60

[User]
what is the lowest positive integer that is divisible by each of the integers 1 through 11 inclusive?
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[Assistant] 27,720

[User]
carl bought 16 gumballs, lewis bought 12 gumballs, and carey bought x gumballs. the average ( arithmetic mean ) number of gumballs the 3 bought is between 19 and 25, inclusive. what is the difference between the greatest number and the smallest number of gumballs carey could have bought?
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[Assistant] 18

[User]
x can do a piece of work in 40 days. he works at it for 8 days and then y finished it in 28 days. how long will y take to complete the work?
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[Assistant] 35


[User]
find the principle on a certain sum of money at 7 % per annum for 2 2 / 5 years if the amount being rs. 1120?
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[Assistant] 958.9

[User]
find the simple interest on rs. 69,600 at 16 2 / 3 % per annum for 9 months.
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[Assistant] s. 8700

[User]
the lcm and hcf of two numbers are 60 and 2 respectively. find the larger of the two numbers if their sum is 22.
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[Assistant] 12

[User]
excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. for how many minutes does the bus stop per hour?
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[Assistant] 10

[User]
the number of stamps that p and q had were in the ratio of 7 : 2 respectively. after p gave q 15 stamps, the ratio of the number of p's stamps to the number of q's stamps was 2 : 1. as a result of the gift, p had how many more stamps than q?
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[Assistant] 45


[User]
if a, b and c together can finish a piece of work in 6 days. a alone in 12 days and b in 18 days, then c alone can do it in?
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[Assistant] 36

[User]
how many liters of a 40 % iodine solution need to be mixed with 35 liters of a 20 % iodine solution to create a 33 % iodine solution?
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[Assistant] 122

[User]
the average of 10 numbers is 23. if each number is increased by 6, what will the new average be?
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[Assistant] 29

[User]
each day a man meets his wife at the train station after work, and then she drives him home. she always arrives exactly on time to pick him up. one day he catches an earlier train and arrives at the station an hour early. he immediately begins walking home along the same route the wife drives. eventually his wife sees him on her way to the station and drives him the rest of the way home. when they arrive home the man notices that they arrived 16 minutes earlier than usual. how much time did the man spend walking?
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[Assistant] 52 minutes

[User]
on a map, 1.5 inches represent 24 miles. how many miles approximately is the distance if you measured 49 centimeters assuming that 1 - inch is 2.54 centimeters?
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[Assistant] 308


[User]
if three painters can complete three rooms in three hours, how many painters would it take to do 27 rooms in 9 hours?
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[Assistant] 9

[User]
how much is 80 % of 40 is greater than 2 / 5 of 25?
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[Assistant] 22

[User]
5000 - 4500 ÷ 10.00 =?
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[Assistant] 4550

[User]
the average age of applicants for a new job is 30, with a standard deviation of 7. the hiring manager is only willing to accept applications whose age is within one standard deviation of the average age. what is the maximum number of different ages of the applicants?
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[Assistant] 15

[User]
a worker can load one truck in 5 hours. a second worker can load the same truck in 4 hours. if both workers load one truck simultaneously while maintaining their constant rates, approximately how long, in hours, will it take them to fill one truck?
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[Assistant] 2.2


[User]
find the largest 4 digit number which isexactly divisible by 88?
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[Assistant] 9944

[User]
how many of the positive divisors of 600 are also multiples of 4 not including 600?
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[Assistant] 11

[User]
little john had $ 8.50. he spent $ 1.25 on sweets and gave to his two friends $ 1.20 each. how much money was left?
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[Assistant] $ 4.85

[User]
the ratio of buses to cars on river road is 1 to 17. if there are 80 fewer buses than cars on river road, how many cars are on river road?
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[Assistant] 85

[User]
a car averages 55 mph for the first 4 hours of a trip and averages 70 mph for each additional hour. the average speed for the entire trip was 60 mph. how many hours long is the trip?
Answer the question using a single word or phrase.

[Assistant] 6


[User]
a and b undertake to do a piece of work for rs. 1200. a alone can do it in 6 days while b alone can do it in 8 days. with the help of c, they finish it in 3 days. find the share of c.
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[Assistant] 150

[User]
a big container is 30 % full with water. if 27 liters of water is added, the container becomes 3 / 4 full. what is the capacity of the big container?
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[Assistant] 60 liters

[User]
in a group of cows and hens, the number of legs are 14 more than twice the number of heads. the number of cows is
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[Assistant] 7

[User]
a computer store offers employees a 15 % discount off the retail price. if the store purchased a computer from the manufacturer for $ 500 dollars and marked up the price 15 % to the final retail price, how much would an employee save if he purchased the computer at the employee discount ( 15 % off retail price ) as opposed to the final retail price.
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[Assistant] 57.5

[User]
find the area of trapezium whose parallel sides are 30 cm and 12 cm long, and the distance between them is 16 cm?
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[Assistant] 336 cm 2


[User]
working together, printer a and printer b would finish the task in 24 minutes. printer a alone would finish the task in 60 minutes. how many pages does the task contain if printer b prints 3 pages a minute more than printer a?
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[Assistant] 360

[User]
a sum of money is put out at compound interest for 2 years at 20 %. it would fetch rs. 964 more if the interest were payable half - yearly, then it were pay able yearly. find the sum.
Answer the question using a single word or phrase.

[Assistant] 40000

[User]
a box contains 9 slips that are each labeled with one number : 1, 3, 5, 8, 13, 21, 34 and 55. two of the slips are drawn at random from the box without replacement. what is the probability that the sum of the numbers on the two slips is equal to one of the numbers left in the box?
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[Assistant] 5 / 28

[User]
the operation is defined for all integers a and b by the equation ab = ( a - 1 ) ( b - 1 ). if x 9 = 160, what is the value of x?
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[Assistant] 21

[User]
what percent is 3 gm of 1 kg?
Answer the question using a single word or phrase.

[Assistant] 0.3 %


[User]
a man can row 3.3 km / hr in still water. it takes him twice as long to row upstream as to row downstream. what is the rate of the current?
Answer the question using a single word or phrase.

[Assistant] 1.1

[User]
two different primes may be said torhymearound an integer if they are the same distance from the integer on the number line. for instance, 3 and 7 rhyme around 5. what integer q between 1 and 20, inclusive, has the greatest number of distinct rhyming primes around it?
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[Assistant] q. 18

[User]
factory x's bulbs work for over 5000 hours in 79 % of cases, whereas factory y's bulbs work for over 5000 hours in 85 % of cases. it is known that factory x supplies 80 % of the total bulbs available. what is the chance that a purchased bulb will work for longer than 5000 hours?
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[Assistant] 80.2 %

[User]
a train 150 m long passes a man, running at 5 km / hr in the same direction in which the train is going, in 10 seconds. the speed of the train is?
Answer the question using a single word or phrase.

[Assistant] 59 km / hr

[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 40?
Answer the question using a single word or phrase.

[Assistant] 1 / 16


[User]
if the population of a certain country increases at the rate of 10 person every 60 seconds, by how many persons does the population increase in 1 hour?
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[Assistant] 600

[User]
the units digit of ( 10 ) ^ ( 87 ) + ( 5 ) ^ ( 46 ) is :
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[Assistant] 0

[User]
double of quarter of 4 percent written as a decimal is :
Answer the question using a single word or phrase.

[Assistant] 0.02

[User]
a 1200 m long train crosses a tree in 120 sec, how much time will i take to pass a platform 1100 m long?
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[Assistant] 230 sec

[User]
a, b and c rents a pasture for rs. 841. a put in 12 horses for 8 months, b 16 horses for 9 months and 18 horses for 6 months. how much should b pay?
Answer the question using a single word or phrase.

[Assistant] 348


[User]
a one - foot stick is marked in 1 / 4 and 1 / 6 portion. how many total markings will there be, including the end points?
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[Assistant] 8

[User]
a can run 128 metre in 28 seconds and b in 32 seconds. by what distance a beat b?
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[Assistant] 16 metre

[User]
jacob is now 13 years younger than michael. if 9 years from now michael will be twice as old as jacob, how old will jacob be in 4 years?
Answer the question using a single word or phrase.

[Assistant] 8

[User]
a group of students decided to collect as many paise from each member of group as is the number of members. if the total collection amounts to rs. 86.49, the number of the member is the group is :
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[Assistant] 93

[User]
lagaan is levied on the 60 percent of the cultivated land. the revenue department collected total rs. 3, 84,000 through the lagaan from the village of mettur. mettur, a very rich farmer, paid only rs. 480 as lagaan. the percentage of total land of mettur over the total taxable land of the village is :
Answer the question using a single word or phrase.

[Assistant] 0.20833


[User]
in a certain lottery, the probability that a number between 12 and 20, inclusive, is drawn is 1 / 4. if the probability that a number 12 or larger is drawn is 2 / 3, 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] 7 / 12

[User]
if $ 5,000 is invested in an account at a simple annual rate of r percent, the interest is $ 250. when $ 15,000 is invested at the same interest rate, what is the interest from the investment?
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[Assistant] $ 750

[User]
the average of 65 numbers is 40. if two numbers, 83 and 30 are discarded, then the average of the remaining numbers is nearly
Answer the question using a single word or phrase.

[Assistant] 39.47

[User]
a + b + c + d = d + e + f + g = g + h + i = 17 given a = 4. find value of g and h?
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[Assistant] 19

[User]
when a merchant imported a certain item, she paid a 7 percent import tax on the portion of the total value of the item in excess of $ 1,000. if the amount of the import tax that the merchant paid was $ 111.30, what was the total value of the item?
Answer the question using a single word or phrase.

[Assistant] $ 2590


[User]
find the smallest number which should be multiplied with 13225 to make it a perfect square.
Answer the question using a single word or phrase.

[Assistant] 1

[User]
3 candidates in an election and received 2500, 5000 and 20000 votes respectively. what % of the total votes did the winningcandidate got in that election?
Answer the question using a single word or phrase.

[Assistant] 72.72 %

[User]
in a lake, there is a patch of lily pads. every day, the patch doubles in size. it takes 25 days for the patch to cover the entire lake, how many days would it take the patch to cover half of the lake?
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[Assistant] 24

[User]
a 30 % alcohol mixture is added to a 50 % alcohol mixture to form a 10 litre mixture of 45 % alcohol. how much of the 30 % mixture was used?
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[Assistant] 2.5 liters

[User]
if the charge of staying in a student youth hostel $ 18.00 / day for the first week, and $ 11.00 / day for each additional week, how much does it cost to stay for 23 days?
Answer the question using a single word or phrase.

[Assistant] $ 302


[User]
nails and screws are manufactured at a uniform weight per nail and a uniform weight per screw. if the total weight of one screw and one nail is half that of 6 screws and one nail, then the total weight of 3 screws, and 3 nails is how many times that of 1 screws and 5 nails?
Answer the question using a single word or phrase.

[Assistant] b. 5 / 2

[User]
a number x is multiplied with itself and then added to the product of 4 and x. if the result of these two operations is - 3, what is the value of x?
Answer the question using a single word or phrase.

[Assistant] - 1 and - 3

[User]
each week, harry is paid x dollars per hour for the first 30 hours and 1.5 x dollars for each additional hour worked that week. each week, james is paid x dollars per hour for the first 40 hours and 2 x dollars for each additional hour worked that week. last week james worked a total of 44 hours. if harry and james were paid the same amount last week, how many hours did harry work last week?
Answer the question using a single word or phrase.

[Assistant] 42

[User]
sides of a rectangular park are in the ratio 3 : 2 and its area is 5766 sq m, the cost of fencing it at 50 ps per meter is?
Answer the question using a single word or phrase.

[Assistant] 155

[User]
find the smallest number of 6 digits which is exactly divisible by 111
Answer the question using a single word or phrase.

[Assistant] 100011


[User]
when the positive integer k is divided by the positive integer n, the remainder is 13. if k / n = 81.2, what is the value of n?
Answer the question using a single word or phrase.

[Assistant] 20

[User]
kareem is 3 times as old as his son. after 10 years, the sum of their ages will be 76 years. find their present ages.
Answer the question using a single word or phrase.

[Assistant] 14

[User]
what is the greatest value of x such that 4 ^ x is a factor of 21!?
Answer the question using a single word or phrase.

[Assistant] 6

[User]
if 8 spiders make 8 webs in 8 days, then 1 spider will make 1 web in how many days?
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[Assistant] 8

[User]
what is the sum of the integers from - 160 to 162, inclusive?
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[Assistant] 323


[User]
if the selling price of 50 articles is equal to the cost price of 30 articles, then the loss or gain percent is :
Answer the question using a single word or phrase.

[Assistant] 40 %

[User]
solution x is 10 percent alcohol by volume, and solution y is 30 percent alcohol by volume. how many milliliters of solution y must be added to 200 milliliters of solution x to create a solution that is 25 percent alcohol by volume?
Answer the question using a single word or phrase.

[Assistant] 600

[User]
what will be the compound interest on a sum of rs. 26,000 after 3 years at the rate of 12 % p. a.?
Answer the question using a single word or phrase.

[Assistant] s. 10528.12

[User]
the star running back on our football team got most of his total yardage running. the rest was catching passes. he caught passes for 60 yards. his total yardage was 150 yards. the running back for the other team got 200 yards. how many yards did the star running back on our football team get running?
Answer the question using a single word or phrase.

[Assistant] 90 yards

[User]
in what ratio must rice of rs. 30 per kg be mixed with rice of rs. 56 per kg so that cost of mixture is rs. 35 per kg?
Answer the question using a single word or phrase.

[Assistant] 21 : 5


[User]
an automobile parts supplier charges $ 25 per package of gaskets. when a customer orders more than 10 packages of gaskets, the supplier charges 4 / 5 the price for each package in excess of 10. during a certain week, the supplier sold 60 packages of gaskets. if 30 percent of the gaskets went to company x, 15 percent to company y, and the rest to company z, what was the total amount, in dollars, that the parts supplier received in payment for the gaskets?
Answer the question using a single word or phrase.

[Assistant] 1345

[User]
two cars start from the opposite places of a main road, 113 km apart. first car runs for 25 km and takes a right turn and then runs 15 km. it then turns left and then runs for another 25 km and then takes the direction back to reach the main road. in the mean time, due to minor break down the other car has run only 35 km along the main road. what would be the distance between two cars at this point?
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[Assistant] 28

[User]
a straight line in the xy - plane has a slope of 4 and a y - intercept of 4. on this line, what is the x - coordinate of the point whose y - coordinate is 800?
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[Assistant] 199

[User]
a shop owner sells 25 mtr of cloth and gains sp of 10 mtrs. find the gain %?
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[Assistant] 66.67 %

[User]
what number has a 150 : 1 ratio to the number 2?
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[Assistant] 300


[User]
on a saturday night, each of the rooms at a certain motel was rented for either $ 40 or $ 60. if 10 of the rooms that were rented for $ 60 had instead been rented for $ 40, then the total rent the motel charged for that night would have been reduced by 50 percent. what was the total rent the motel actually charged for that night?
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[Assistant] $ 400

[User]
a sum fetched a total simple interest of rs. 6016.75 at the rate of 8 p. c. p. a. in 5 years. what is the sum?
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[Assistant] rs. 15041.875

[User]
x starts a business with rs. 45000. y joins in the business after 2 months with rs. 30000. what will be the ratio in which they should share the profit at the end of the year?
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[Assistant] 9 : 5

[User]
a train 360 m long is running at a speed of 45 km / hr. in what time will it pass a bridge 165 m long?
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[Assistant] 42

[User]
two pipes can fill a tank in 8 minutes and 5 minutes. an outlet pipe can empty the tank in 12 minutes. if all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
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[Assistant] 14 minutes


[User]
the owner of a furniture shop charges his customer 15 % more than the cost price. if a customer paid rs. 8325 for a computer table, then what was the cost price of the computer table?
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[Assistant] rs. 7239.13

[User]
a boat takes 19 hours for travelling downstream from point a to point b and coming back to a point c midway between a and b. if the velocity of the stream is 4 km / h and the speed of the boat in still water is 14 km / h, what is the distance between a and b?
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[Assistant] 180 km

[User]
if 73! has 16 zeroes at the end, how many zeroes will 80! have at the end?
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[Assistant] 19

[User]
in 1990 the budgets for projects q and v were $ 700,000 and $ 780,000, respectively. in each of the next 10 years, the budget for q was increased by $ 30,000 and the budget for v was decreased by $ 10,000. in which year was the budget for q equal to the budget for v?
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[Assistant] 1992

[User]
6 bells commence tolling together and toll at the intervals of 24, 68, 1012 seconds resp. in 60 minutes how many times they will toll together.
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[Assistant] 31


[User]
in a full deck of 52 cards, there are 13 spades. a game is played whereby a card from is chosen at random from the deck. if the card is a spade, a winner is declared. if the card is not a spade, it is returned to the deck, the deck is reshuffled and another card is drawn. this process is repeated until a spade is drawn. what is the probability that one will pick the first spade on the second draw or later?
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[Assistant] 3 / 4

[User]
of 600 surveyed students, 20 % of those who read book a also read book b and 25 % of those who read book b also read book a. if each student read at least one of the books, what is the difference between the number of students who read only book a and the number of students who read only book b?
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[Assistant] 75

[User]
if 4 ( p's capital ) = 6 ( q's capital ) = 10 ( r's capital ), then out of the total profit of rs 4340, r will receive
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[Assistant] 840

[User]
there are 6 red balls and 4 blue balls in a jar. if 3 balls are selected from the jar, what is the probability that all 3 balls selected are red balls?
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[Assistant] 1 / 6

[User]
for how many integer values of n will the value of the expression 4 n + 7 be an integer greater than 1 and less than 100?
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[Assistant] 25


[User]
if the arithmetic mean of p and q is 10 and the arithmetic mean of q and r is 25, what is the value of r - p?
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[Assistant] 30

[User]
if the population of a certain country increases at the rate of one person every 25 seconds, by how many persons does the population increase in 1 hour?
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[Assistant] 144

[User]
there were two candidates in an election. winner candidate received 62 % of votes and won the election by 300 votes. find the number of votes casted to the winning candidate?
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[Assistant] 775

[User]
10 percent of ram's monthly salary is equal to 8 percent of shyam's monthly salary. shyam's monthly salary is twice abhinav's monthly salary. if abhinav's annual salary is rs. 1.92 lakhs, find ram's monthly salary?
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[Assistant] rs. 25600

[User]
during a sale of 20 % on everything in a store, a kid is successful in convincing the store manager to give him 20 candies for the discounted price of 10 candies. the store still makes a profit of 12 % on this sale. what is the mark up percentage on each candy?
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[Assistant] 80 %


[User]
if the selling price of 50 articles is equal to the cost price of 25 articles, then the loss or gain percent is :
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[Assistant] 50 %

[User]
find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 15 cm?
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[Assistant] 285

[User]
when the bus started from the first bus stop, the number of male passengers to the number of female passengers was 1 : 3. at the first stop, 16 passengers got down and 6 more female passengers got in. the ratio of the male to female passengers now became 1 : 2. what was the total number of passengers in the bus when it started from the first stop?
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[Assistant] can not be determined

[User]
when processing flower - nectar into honey bees'extract, a considerable amount of water gets reduced. how much flower - nectar must be processed to yield 1 kg of honey, if nectar contains 50 % water, and the honey obtained from this nectar contains 15 % water?
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[Assistant] 1.7 kg

[User]
a batsman scored 90 runs which included 2 boundaries and 7 sixes. what percent of his total score did he make by running between the wickets.
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[Assistant] 44.44 %


[User]
a bag contains 10 red jellybeans and 10 blue jellybeans. if 3 jellybeans are removed one at a time, at random and are not replaced, what is the probability w that all 3 jellybeans removed from the bag are blue?
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[Assistant] 2 / 19

[User]
peter invested a certain sum of money in a simple interest bond whose value grew to $ 300 at the end of 3 years and further to $ 400 at the end of another 5 years. what was the rate of interest in which he invested his sum?
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[Assistant] 8.33 %

[User]
28 buckets of water fill a tank when the capacity of each bucket is 13.5 litres. how many buckets will be required to fill the same tank if the capacity of each bucket is 9 litres?
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[Assistant] 42

[User]
the average ( arithmetic mean ) of 4 different positive integers is 16. if the first of these integers in 3 times the second integer and the second integer is 2 less than the third integer, what is the least possible value of the fourth integer?
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[Assistant] 2

[User]
36 welders work at a constant rate they complete an order in 3 days. if after the first day, 12 welders start to work on the other project, how many more days the remaining welders will need to complete the rest of the order?
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[Assistant] 3