[User]
the lcm of two numbers is 2310 and hcf is 47. if one of the numbers is 210. then what is the other number?
Answer the question using a single word or phrase.

[Assistant] 517

[User]
a retailer purchases shirts from a wholesaler and then sells the shirts in her store at a retail price that is 70 percent greater than the wholesale price. if the retailer decreases the retail price by 30 percent this will have the same effect as increasing the wholesale price by what percent?
Answer the question using a single word or phrase.

[Assistant] 19

[User]
machine p and machine q are each used to manufacture 220 sprockets. it takes machine p 10 hours longer to produce 220 sprockets than machine q. machine q produces 10 % more sprockets per hour than machine a. how many sprockets per hour does machine a produce?
Answer the question using a single word or phrase.

[Assistant] 2

[User]
the average mark of the students of a class in a particular exam is 65. if 5 students whose average mark in that exam is 20 are excluded, the average mark of the remaining will be 90. find the number of students who wrote the exam.
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[Assistant] 14

[User]
there are 24 students in a class. in how many different ways can a committee of 3 students be formed?
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[Assistant] 2024


[User]
fred and sam are standing 35 miles apart and they start walking in a straight line toward each other at the same time. if fred walks at a constant speed of 2 miles per hour and sam walks at a constant speed of 5 miles per hour, how many miles has sam walked when they meet?
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[Assistant] 25

[User]
a camera lens filter kit containing 5 filters sells for $ 72.50. if the filters are purchased individually, 2 of them are priced at $ 12.45 each, 2 at $ 14.05 each, 1 at $ 11.50. the amount saved by purchasing the kit is what percent of the total price of the 5 filters purchased individually?
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[Assistant] 11.03 %

[User]
every student in a room is either a junior or a senior. there is at least one junior and at least one senior in the room. if 1 / 2 of the juniors is equal to 2 / 3 of the seniors, what fraction of the students in the room are juniors?
Answer the question using a single word or phrase.

[Assistant] 4 / 7

[User]
in a certain alphabet, 10 letters contain a dot and a straight line. 24 letters contain a straight line but do not contain a dot. if that alphabet has 40 letters, all of which contain either a dot or a straight line or both, how many letters contain a dot but do not contain a straight line?
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[Assistant] 6

[User]
a certain manufacturer increased its gross profit on a product from 10 percent of the cost of the product to 15 percent of the cost by changing the selling price. if the new selling price was $ 92.00 and the cost of the product remained the same, what was the old selling price?
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[Assistant] $ 88.00


[User]
in a certain city, 60 percent of the registered voters are democrats and the rest are republicans. in a mayoral race, if 65 percent of the registered voters who are democrats and 20 percent of the registered voters who are republicans are expected to vote for candidate a, what percent of the registered voters are expected to vote for candidate a?
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[Assistant] 47 %

[User]
the smallest number when increased by ` ` 2 ` ` is exactly divisible by 12, 30, 48, 74 and 100 is :
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[Assistant] 44398

[User]
how many integers between 1 and 1400 are divisible by 25, and 35?
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[Assistant] 8

[User]
a works thrice as much as b. if a takes 60 days less than b to do a work then find the number of days it would take to complete the work if both work together?
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[Assistant] 22.5 days

[User]
a retailer bought a machine at a wholesale price of $ 90 and later on sold it after a 10 % discount of the retail price. if the retailer made a profit equivalent to 20 % of the whole price, what is the retail price t of the machine?
Answer the question using a single word or phrase.

[Assistant] 120


[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 128 of the workers of that company are men, how many of the workers are women?
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[Assistant] 112

[User]
calculate the number of urns of water needed to fill a tank of dimensions of 10 x 10 x 5 m to 90 % full, if the volume of the urn is 0.8 m 3 and can only be filled to 80 %.
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[Assistant] 703.1

[User]
a batsman makes a score of 92 runs in the 17 th inning and thus increases his average by 3. find his average after 17 th inning.
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[Assistant] 44

[User]
a tank can be filled by two pipes a and b in 60 minutes and 40 minutes respectively. how many minutes will it take to fill the tank from empty state if b is used for the first half time and then a and b fill it together for the other half.
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[Assistant] 30 mins

[User]
in a division sum, the quotient is 65, the divisor 24 and the remainder 5, find the dividend?
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[Assistant] 1565


[User]
the principal that amounts to rs. 3913 in 3 years at 6 1 / 4 % per annum c. i. compounded annually, is?
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[Assistant] s. 3096

[User]
the length of a rectangular field is 7 / 5 its width. if the perimeter of the field is 240 meters, what is the width of the field?
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[Assistant] 50

[User]
the sum of the present ages of two persons a and b is 60. if the age of a is twice that of b, find the sum of their ages 10 years hence?
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[Assistant] 80

[User]
at a certain committee meeting only associate professors and assistant professors are present. each associate professor has brought 2 pencils and 1 chart to the meeting, while each assistant professor has brought 1 pencil and 2 charts. if a total of 10 pencils and 8 charts have been brought to the meeting, how many people are present?
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[Assistant] 6

[User]
it is the new year and mandy has made a resolution to lose weight this year. she plans to exercise and do yoga. for exercise she plans to workout at the gym and ride her bicycle in the ratio of 2 : 3 everyday. she will also do yoga in the ratio, yoga : exercise = 2 : 3. if she rides her bike for 14 minutes, how much time will she spend doing yoga? ( rounded to minutes )
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[Assistant] 23 min.


[User]
if the average of 6 x and 8 y is greater than 100, and x is twice y, what is the least integer value of x?
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[Assistant] 20

[User]
two cubes of their volumes in the ratio 343 : 729. the ratio of their surface area is :
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[Assistant] 7 : 9

[User]
two pipes p and q can fill a cistern in 12 and 14 minutes respectively. both are opened together, but at the end of 3 minutes the first is turned off. how much longer will the cistern take to fill?
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[Assistant] 10 1 / 2 min

[User]
a can complete a project in 20 days and b can complete the same project in 20 days. if a and b start working on the project together and a quits 10 days before the project is completed, in how many days will the project be completed?
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[Assistant] 15 days

[User]
a work crew of 4 men takes 5 days to complete one - half of a job. if 11 men are then added to the crew and the men continue to work at the same rate, how many days will it take the enlarged crew to do the rest of the job?
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[Assistant] 1 1 / 3


[User]
a train 120 meters long takes 6 seconds to cross a man walking at 5 kmph in the direction opposite to that of the train. find the speed of the train.
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[Assistant] 67 kmph

[User]
a small company reduced its faculty by approximately 13 percent to 195 employees. what was the original number of employees?
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[Assistant] 224

[User]
population is 22000. population increases by 10 % every year, then the population after 3 years is?
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[Assistant] 29282

[User]
a 180 meter long train crosses a man standing on the platform in 12 sec. what is the speed of the train?
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[Assistant] 54 kmph

[User]
( 26.3 * 12 * 20 ) / 3 + 125 =?
Answer the question using a single word or phrase.

[Assistant] 2229


[User]
rectangular tile each of size 45 cm by 50 cm must be laid horizontally on a rectangular floor of size 250 cm by 180 cm, such that the tiles do not overlap and they are placed with edges jutting against each other on all edges. a tile can be placed in any orientation so long as its edges are parallel to the edges of floor. no tile should overshoot any edge of the floor. the maximum number of tiles that can be accommodated on the floor is :
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[Assistant] 20

[User]
if 15 people contributed a total of $ 30.00 toward a gift and each of them contributed at least $ 1.00, then the maximum possible amount any one person could have contributed is
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[Assistant] $ 16

[User]
the difference between a two - digit number and the number obtained by interchanging the positions of its digits is 72. what is the difference between the two digits of that number?
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[Assistant] 8

[User]
machine a can put caps on a set of bottles in 8 hours at a constant rate. if machine a does the job for 6 hours and machine b does the rest of the job, which works at 1 / 4 constant rate of machine a. how long will it take for machine b alone to do the rest of the job?
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[Assistant] 8 hrs

[User]
a ’ s speed is 16 / 15 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 the race ends in a dead heat?
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[Assistant] 1 / 16


[User]
6 women can do 75 unit of work in 8 days by working 5 hr / day in how many days 4 women do 30 units of work by working 8 hr / day
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[Assistant] 3

[User]
50 % of a number is more than 20 % of 650 by 190. find the number?
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[Assistant] 640

[User]
what is the units digit of the expression 14 ^ 7 − 16 ^ 4?
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[Assistant] 8

[User]
if | 5 x - 5 | = 150, what is the sum of all the possible values of x?
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[Assistant] 2

[User]
x is the product of each integer from 1 to 100, inclusive and y = 100 ^ k, where k is an integer. what is the greatest value of k for which y is a factor of x?
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[Assistant] 12


[User]
jean drew a gumball at random from a jar of pink and blue gumballs. since the gumball she selected was blue and she wanted a pink one, she replaced it and drew another. the second gumball also happened to be blue and she replaced it as well. if the probability of her drawing the two blue gumballs was 9 / 49, what is the probability that the next one she draws will be pink?
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[Assistant] 4 / 7

[User]
a sum was put a simple interest at a certain rate for 2 years. had it been put at 4 % higher rate, it would have fetched rs. 60 more. the sum is :
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[Assistant] rs. 750

[User]
three coins are tossed. find the probability of at least 2 tails?
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[Assistant] 1 / 2

[User]
a train can travel 50 % faster than a car. both start from point a at the same time and reach point b at 75 kms away from a at the same time. on the way, however, the train lost about 12.5 minutes while stopping at the stations. the speed of the car is?
Answer the question using a single word or phrase.

[Assistant] 120

[User]
tom traveled the entire 60 miles trip. if he did the first 12 miles of at a constant rate 24 miles per hour and the remaining trip of at a constant rate 48 miles per hour, what is the his average speed, in miles per hour?
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[Assistant] 40 mph


[User]
a grocer has a sale of rs. 2435, rs. 2920, rs. 2855, rs. 3230 and rs. 2560 for 5 consecutive months. how much sale must he have in the sixth month so that he gets an average sale of rs. 2500?
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[Assistant] 1000

[User]
a mixture contains alcohol and water in the ratio 4 : 3. if 5 litres of water is added to the mixture, the ratio becomes 4 : 5. find the quantity of alcohol in the given mixture
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[Assistant] 10 litres

[User]
evaluate 28 % of 550 + 45 % of 280
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[Assistant] 280

[User]
what sum of money put at c. i amounts in 2 years to rs. 8840 and in 3 years to rs. 9261?
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[Assistant] 8054

[User]
if square - root of 15 is 3.87. then find the value of square - root of ( 5 / 3 )
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[Assistant] 1.29


[User]
a salesman sold twice as much pears in the afternoon than in the morning. if he sold $ 480 kilograms of pears that day, how many kilograms did he sell in the afternoon?
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[Assistant] 320

[User]
0.004 × 0.5 =?
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[Assistant] 0.002

[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 3 cups of tea. last week mo drank a total of 20 cups of tea and hot chocolate together. if during that week mo drank 10 more tea cups than hot chocolate cups, then how many rainy days were there last week?
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[Assistant] 2

[User]
how long will a boy take to run round a square field of side 50 meters, if he runs at the rate of 10 km / hr?
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[Assistant] 72 sec

[User]
the roof of an apartment building is rectangular and its length is 3 times longer than its width. if the area of the roof is 675 feet squared, what is the difference between the length and the width of the roof?
Answer the question using a single word or phrase.

[Assistant] 30.


[User]
a grocery shop has a sale of rs. 6235, rs. 6927, rs. 6855, rs. 7230 and rs. 6562 for 5 consecutive months. how much sale must he have in the sixth month so that he gets an average sale of rs. 6500?
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[Assistant] 5191

[User]
a train 225 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 :
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[Assistant] 86

[User]
0.0006688 / 0.0000120 x 17.05 =?
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[Assistant] 950.1

[User]
the average age of a group of 10 persons was decreased by 3 years when one person, whose age was 45 years, was replaced by a new person. find the age of the new person?
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[Assistant] 15

[User]
a car traveled 75 % of the way from town a to town b at an average speed of 75 mph. the car traveled at an average speed of v mph for the remaining part of the trip. the average speed for the entire trip was 50 mph. what is v in mph?
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[Assistant] 25


[User]
if 20 men can build a wall 66 metres long in 15 days, what length of a similar can be built by 86 men in 8 days?
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[Assistant] 151.36 mtrs

[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 $ 0.60 per glass on the first day, what was the price per glass on the second day?
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[Assistant] $ 0.40

[User]
two consultants can type up a report in 12.5 hours and edit it in 7.5 hours. if mary needs 30 hours to type the report and jim needs 12 hours to edit it alone, how many r hours will it take if jim types the report and mary edits it immediately after he is done?
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[Assistant] 41.4

[User]
the number 1254 is divisible by which number?
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[Assistant] 6

[User]
what is the cost of leveling the field in the form of parallelogram at the rate of rs. 40 / 10 sq. metre, whose base & perpendicular distance from the other side being 24 m & 34 m respectively?
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[Assistant] s. 816


[User]
a work which could be finished in 9 days was finished 3 days earlier after 10 more men joined. the number of men employed was?
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[Assistant] 20

[User]
if the compound interest on a certain sum of money for 6 years at 10 % per annum be rs. 993, what would be the simple interest?
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[Assistant] rs. 1800

[User]
a bicycle wheel has a diameter of 0.66 m. how many complete revolutions does it make in 1 km?
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[Assistant] 482

[User]
a sum of money amounts to rs. 9800 after 5 years and rs. 12015 after 8 years at the same rate of simple interest. the rate of interest per annum is?
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[Assistant] 12.05 %

[User]
how many different pairs of positive integers ( a, b ) satisfy the equation 1 / a + 1 / b = 34 / 51?
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[Assistant] 0


[User]
a telephone company needs to create a set of 3 - digit area codes. the company is entitled to use only digits 2, 4 and 8, which can be repeated. if the product of the digits in the area code must be even, how many different codes can be created?
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[Assistant] 27

[User]
the average age of one class strength 32 students is 16 yrs. if the staff's age is also included, the average increases by one year. find the age of the staff
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[Assistant] 49

[User]
the area of a rectangular plot is 460 square metres. if the length is 15 % more than the breadth, what is the breadth of the plot?
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[Assistant] 20 m

[User]
working simultaneously and independently at an identical constant rate, 5 machines of a certain type can produce a total of x units of product p in 8 days. how many of these machines, working simultaneously and independently at this constant rate, can produce a total of 3 x units of product p in 4 days?
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[Assistant] 30

[User]
in a rectangular axis system, what is the area of a parallelogram with the coordinates : ( 2,2 ), ( 8,2 ), ( 3,5 ), ( 9,5 )?
Answer the question using a single word or phrase.

[Assistant] 18.


[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 10 percent. what was the total rent the motel actually charged for that night?
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[Assistant] $ 2,000

[User]
there is 60 lit of milk and water in which milk forms 84 %. howmuch water must be added to this solution to make it solution in which milk forms 50 %
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[Assistant] 40.8

[User]
jill invests $ 10000 in an account that pays an annual rate of 3.96 %, compounding semi - annually. approximately how much q does she have in her account after two years?
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[Assistant] q = $ 10815.83

[User]
machine p and machine q are each used to manufacture 440 sprockets. it takes machine p 10 hours longer to produce 440 sprockets than machine q. machine q produces 10 % more sprockets per hour than machine a. how many sprockets per hour does machine a produce?
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[Assistant] 4

[User]
a retailer buys 100 pens at the market price of 36 pens from a wholesaler, if he sells these pens giving a discount of 1 %, what is the profit %?
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[Assistant] 175


[User]
the average of first 3 prime numbers greater than 20 is?
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[Assistant] 27.7

[User]
a reduction of 44 % in the price of bananas would enable a man to obtain 64 more for rs. 40, what is reduced price per dozen?
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[Assistant] 3.3

[User]
if x and y are integers, what is the least positive number of 24 x + 16 y?
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[Assistant] 8

[User]
a certain company retirement plan has arule of 70 provision that allows an employee to retire when the employee's age plus years of employment with the company total at least 70. in what year could a female employee hired in 1987 on her 32 nd birthday first be eligible to retire under this provision?
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[Assistant] 2006

[User]
a cistern is filled by a tap in 3 1 / 2 hours. due to leak in the bottom of the cistern, it takes half an hour longer to fill the cistern. if the cistern is full how long will it take the leak to empty it?
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[Assistant] 28


[User]
when n is divided by 24, the remainder is 4. what is the remainder when 3 n is divided by 8?
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[Assistant] 4

[User]
two pipes a and b can separately fill a cistern in 45 minutes and 60 minutes respectively. there is a third pipe in the bottom of the cistern to empty it. if all the three pipes are simultaneously opened, then the cistern is full in 40 minutes. in how much time, the third pipe alone can empty the cistern?
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[Assistant] 72 min

[User]
a car takes 6 hours to cover a distance of 450 km. how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time?
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[Assistant] 50

[User]
a letter lock consists of 3 rings each marked with 6 different letters. the number of distinct unsuccessful attempts to open the lock is at the most -.
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[Assistant] 215

[User]
the ratio between the length and the breadth of a rectangular park is 3 : 2. if a man cycling along the boundary of the park at the speed of 12 km / hr completes one round in 10 minutes, then the area of the park ( in sq. m ) is
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[Assistant] 240000


[User]
average of money that group of 4 friends pay for rent each month is $ 800. after one persons rent is increased by 16 % the new mean is $ 850. what was original rent of friend whose rent is increased?
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[Assistant] 1250

[User]
a person started from point a to point b and returned back to a with a speed of 60 kmh. if the distance between a and b is 120 km, calculate the time he travelled
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[Assistant] 4 hours

[User]
a meeting has to be conducted with 5 managers. find the number of ways in which the managers may be selected from among 7 managers, if there are 2 managers who refuse to attend the meeting together.
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[Assistant] 11

[User]
ravi and sunil are partners in a business. ravi invests rs. 15,000 for 8 months and sunil invested rs. 8000 for 10 months then after one year ratio of their profits will be
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[Assistant] 3 : 2

[User]
on a saturday night, each of the rooms at a certain motel was rented for either $ 50 or $ 60. if 10 of the rooms that were rented for $ 60 had instead been rented for $ 50, then the total rent the motel charged for that night would have been reduced by 25 percent. what was the total rent the motel actually charged for that night?
Answer the question using a single word or phrase.

[Assistant] $ 400


[User]
if price of t. v set is reduced by 10 %, then its sale increases by 85 %, find net effect on sale value
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[Assistant] 67

[User]
a retailer buys a radio for rs 225. his overhead expenses are rs 20. he sellis the radio for rs 300. the profit percent of the retailer is
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[Assistant] 22.4 %

[User]
which number should replace both the asterisks in ( * / 18 ) x ( * / 162 ) = 1?
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[Assistant] 54

[User]
anne bought doughnuts for a class breakfast party. she bought 5 chocolate doughnuts, 6 coconut doughnuts, and 11 jam - filled doughnuts. how many doughnuts did anne buy in all?
Answer the question using a single word or phrase.

[Assistant] 22

[User]
a certain music store stocks 800 cellos and 600 violas. of these instruments, there are 120 cello - viola pairs, such that a cello and a viola were both made with wood from the same tree ( each tree can make at most one viola and one cello, so there are no pairs other than these 90 ). if one viola and one cello are chosen at random, what is the probability that the two instruments are made with wood from the same tree?
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[Assistant] 1 / 8,000


[User]
a man is walking at the rate of 10 km / hr crosses a bridge in 15 minutes. the length of the bridge is
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[Assistant] 2500 meters

[User]
826924 × 9999 =?
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[Assistant] 8268413076

[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 144 ° of the circle, what percentage of megatek employees are in manufacturing?
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[Assistant] 40 %

[User]
a train speeds past a pole in 15 seconds and a platfrom 100 m long in 25 seconds. its length is :
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[Assistant] 150 m

[User]
gopi gives rs. 90 plus one turban as salary to his servant for one year. the servant leaves after 9 months and receives rs. 55 and the turban. find the price of the turban.
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[Assistant] 50


[User]
in a ratio which is equal to 2 : 4, if the antecedent is 50, then the consequent is?
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[Assistant] 100

[User]
before leaving home for the town of madison, pete checks a map which shows that madison is 5 inches from his current location, gardensquare. pete arrives in madison 1.5 hours later and drove at an average speed of 60 miles per hour. at what scale, in inches per mile, is the map drawn?
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[Assistant] 1 / 18

[User]
the average of 50 numbers is 38. if two numbers 45 and 55 are discarded, the average of the remaining set of numbers is
Answer the question using a single word or phrase.

[Assistant] 37.5

[User]
i bought two books ; for rs. 420. i sold one at a loss of 15 % and other at a gain of 19 % and then i found each book was sold at the same price. find the cost of the book sold at a loss?
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[Assistant] 245

[User]
the ratio of the ages of mini and minakshi is 4 : 3. the sum of their ages is 28 years. the ratio of their ages after 6 years will be
Answer the question using a single word or phrase.

[Assistant] 11 : 9


[User]
50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. if the average displacement of water by a man is 5 m 3, then the rise in the water level in the tank will be :
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[Assistant] 31.25 cm

[User]
if the price of petrol increases by 20, by how much must a user cut down his consumption so that his expenditure on petrol remains constant?
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[Assistant] 16.7 %

[User]
thirty percent of the women in a college class are science majors, and the non - science majors make up 60 % of the class. what percentage of the men are science majors if 40 % of the class are men?
Answer the question using a single word or phrase.

[Assistant] 55 %

[User]
a cargo ship carrying 4 kinds of items, doohickies, geegaws, widgets, and yamyams, arrives at the port. each item weighs 2, 11, 5, and 7 pounds, respectively, and each item is weighed as it is unloaded. if, in the middle of the unloading process, the product of the individual weights of the unloaded items equals 104, 350400 pounds, how many widgets have been unloaded?
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[Assistant] 2

[User]
what is the sum of all the composite numbers up to 18?
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[Assistant] 112


[User]
if 10,000 microns = 1 decimeter, and 1, 000,000 angstroms = 1 decimeter, how many angstroms equal 1 micron?
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[Assistant] 100

[User]
this year, mbb consulting fired 5 % of its employees and left remaining employee salaries unchanged. sally, a first - year post - mba consultant, noticed that that the average ( arithmetic mean ) of employee salaries at mbb was 10 % more after the employee headcount reduction than before. the total salary pool allocated to employees after headcount reduction is what percent of that before the headcount reduction?
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[Assistant] 102.8 %

[User]
during a certain two - week period, 75 percent of the movies rented from a video store were comedies, and of the remaining movies rented, there were 2 / 3 times as many dramas as action movies. if no other movies were rented during that two - week period and there were a action movies rented, then how many comedies, in terms of a, were rented during that two - week period?
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[Assistant] 5 a

[User]
rs 60000 is divided into two parts one part is given to a person with 10 % interest and another part is given to a person with 20 % interest. at the end of first year he gets profit 7000 find money given by 10 %?
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[Assistant] 40000

[User]
in measuring the sides of a rectangle, one side is taken 5 % in excess, and the other 4 % in deficit. find the error percent in the area calculated from these measurements.
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[Assistant] 0.8 %


[User]
a box contains 100 balls, numbered from 1 to 100. if 3 balls are selected at random and with replacement from the box. if the 3 numbers on the balls selected contain two odd and one even. what is the probability g that the first ball picked up is odd numbered?
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[Assistant] 2 / 3

[User]
a gardener wants to plant trees in his garden in such a way that the number of trees in each row should be the same. if there are 2 rows or 4 rows or 4 rows, then no tree will be left. find the least number of trees required
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[Assistant] 4

[User]
bert left the house with n dollars. he spent 1 / 4 of this at the hardware store, then $ 9 at the dry cleaners, and then half of what was left at the grocery store. when he got home, he had $ 15 left in his pocket. what was the value of n?
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[Assistant] $ 52

[User]
a company has $ 329864 in its account. what is the least amount of money ( in whole number of dollars ) that it must add to the account if the money is paid evenly among 9 of its vendors?
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[Assistant] $ 4

[User]
an escalator moves towards the top level at the rate of 10 ft. sec and its length is 112 feet. if a person walks on the moving escalator at the rate of 4 feet per second towards the top level, how much time does he take to cover the entire length.
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[Assistant] 8 sec


[User]
if - 2 / ( a - 6 ) = 4 / ( a + 4 ), then a =?
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[Assistant] 8 / 3

[User]
what is the total surface area in square meters of a rectangular solid whose length is 5 meters, width is 4 meters, and depth is 1 meters?
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[Assistant] 58 m 2

[User]
in a group of ducks and cows, the total number of legs are 34 more than twice the no. of heads. find the total no. of buffaloes.
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[Assistant] 17

[User]
what is the units digit of ( 7! * 6! + 6! * 4! ) / 2?
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[Assistant] 0

[User]
in a division sum, the remainder is 0. as student mistook the divisor by 12 instead of 21 and obtained 63 as quotient. what is the correct quotient?
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[Assistant] 36


[User]
the difference between a positive proper fraction and its reciprocal is 9 / 20. then the fraction is :
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[Assistant] 4 / 5

[User]
a sum of money is to be distributed among a, b, c, d in the proportion of 6 : 3 : 5 : 4. if c gets rs. 1000 more than d, what is b's share?
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[Assistant] 3000

[User]
a sports equipment store sold ping pong rackets for a total of $ 686. if the average ( arithmetic mean ) price of a pair of rackets is $ 9.8, how many pairs were sold?
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[Assistant] 70

[User]
one woman and one man can build a wall together in four hours, but the woman would need the help of two girls in order to complete the same job in the same amount of time. if one man and one girl worked together, it would take them eight hours to build the wall. assuming that rates for men, women and girls remain constant, how many hours would it take one woman, one man, and one girl, working together, to build the wall?
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[Assistant] 24 / 7

[User]
what is the least number to be subtracted from 1300 to make it a perfect square?
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[Assistant] 75


[User]
the average weight of 8 person's increases by 3.5 kg when a new person comes in place of one of them weighing 65 kg. what might be the weight of the new person?
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[Assistant] 93 kg

[User]
the area of a square is 6400 sq cm. find the ratio of the breadth and the length of a rectangle whose length is thrice the side of the square and breadth is 30 cm less than the side of the square?
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[Assistant] 5 : 24

[User]
if xy > 0, 1 / x + 1 / y = 15, and 1 / xy = 5, then ( x + y ) / 5 =?
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[Assistant] 3 / 5

[User]
a man complete a journey in 10 hours. he travels first half of the journey at the rate of 21 km / hr and second half at the rate of 26 km / hr. find the total journey in km.
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[Assistant] 200 km

[User]
a bookseller sells his books at a 10 % markup in price. if he sells a book for $ 11.00, how much did he pay for it?
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[Assistant] $ 10.00


[User]
what is the units digit of the expression 14 ^ 7 − 15 ^ 4?
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[Assistant] 8

[User]
at what rate percent on simple interest will rs. 750 amount to rs. 1050 in 5 years?
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[Assistant] 8

[User]
the amount of time that three people worked on a special project was in the ratio of 4 to 3 to 5. if the project took 120 hours, how many more hours did the hardest working person work than the person who worked the least?
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[Assistant] 20 hours

[User]
a rectangular farm has to be fenced one long side, one short side and the diagonal. if the cost of fencing is rs. 11 per meter. the area of farm is 1200 m 2 and the short side is 30 m long. how much would the job cost?
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[Assistant] 1320

[User]
a call center has two teams. each member of team a was able to process 3 / 5 calls as compared to each member of team b. if team a has 5 / 8 as many number of call center agents as team b, what fraction of the total calls was processed by team b?
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[Assistant] 8 / 11


[User]
jill invests $ 10000 in an account that pays an annual rate of 3.96 %, compounding semi - annually. approximately how much r does she have in her account after two years?
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[Assistant] r = $ 10815.83

[User]
cindy has her eye on a sundress but thinks it is too expensive. it goes on sale for 15 % less than the original price. before cindy can buy the dress, however, the store raises the new price by 25 %. if the dress cost $ 71.4 after it went on sale for 15 % off, what is the difference between the original price and the final price?
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[Assistant] $ 5.25

[User]
if ( n + 2 )! / n! = 110, n =?
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[Assistant] 9

[User]
( 1 / 5 ) ^ e * ( 1 / 4 ) ^ 18 = 1 / ( 2 ( 10 ) ^ 35 ). what is e?
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[Assistant] 35

[User]
i bought two books ; for rs. 360. i sold one at a loss of 15 % and other at a gain of 19 % and then i found each book was sold at the same price. find the cost of the book sold at a loss?
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[Assistant] 210


[User]
if n is a natural number, then ( 6 n 2 + 6 n ) is always divisible by :
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[Assistant] 6 and 12 both

[User]
| 13 - 3 | - | 4 - 10 | =?
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[Assistant] 4

[User]
a fill pipe can fill 1 / 6 of cistern in 90 minutes in how many minutes, it can fill 5 / 6 of the cistern?
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[Assistant] 450 min

[User]
increasing the original price of an article by 6 percent and then increasing the new price by 6 percent is equivalent to increasing the original price by
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[Assistant] 12.36 %

[User]
the monthly salaries of 6 employees in a company are $ 1000, $ 2500, $ 3100, $ 3650, $ 1500, $ 2000. what is the mean of the salaries of 6 employees.
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[Assistant] $ 2291.7


[User]
ravi and sunil are partners in a business. ravi invests rs. 18,000 for 8 months and sunil invested rs. 10000 for 10 months then after one year ratio of their profits will be
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[Assistant] 36 : 25

[User]
if | x | = 5 x - 3, then x =?
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[Assistant] 2

[User]
the area of a square is 4489 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] 43 : 134

[User]
a certain lab experiments with white and brown mice only. in one experiment, 2 / 3 of the mice are white. if there are 12 brown mice in the experiment, how many mice in total are in the experiment?
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[Assistant] 36

[User]
company c produces toy trucks at a cost of $ 5.00 each for the first 100 trucks and $ 3.50 for each additional truck. if 500 toy trucks were produced by company c and sold for $ 7.00 each, what was company c ’ s gross profit?
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[Assistant] $ 1,600


[User]
a business executive and his client are charging their dinner tab on the executive's expense account. the company will only allow them to spend a total of 100 $ for the meal. assuming that they will pay 7 % in sales tax for the meal and leave a 15 % tip, what is the most their food can cost?
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[Assistant] 80.27 $

[User]
a garrison of 2000 men has provisions for 54 days. at the end of 21 days, a reinforcement arrives, and it is now found that the provisions will last only for 20 days more. what is the reinforcement?
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[Assistant] 1300

[User]
a person buys an article at $ 200. at what price should he sell the article so as to make a profit of 10 %?
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[Assistant] 220

[User]
200 liters of a mixture contains milk and water in the ratio 4 : 1. if 20 liters of this mixture be replaced by 20 liters of milk, the ratio of milk to water in the new mixture would be?
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[Assistant] 6 : 1

[User]
if the speed of a man is 66 km per hour, then what is the distance traveled by him in 30 seconds?
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[Assistant] 550 m


[User]
when positive integer x is divided by positive integer y, the remainder is 6. if x / y = 6.12, what is the value of y?
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[Assistant] 50

[User]
two identical trains aa and bb running in opposite direction at same speed tale 2 min to cross each other completely. the number of bogies of aa are increased from 12 to 16. how much more time would they now require to cross each other?
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[Assistant] 20 sec

[User]
express 5 mps in kmph?
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[Assistant] 18

[User]
a person starting with rs. 64 and making 6 bets, wins 3 times and loses 3 times, the wins and loses occurring in random order. the chance for a win is equal to the chance for a loss. if each wager is for 1 / 2 the money remaining at the time of the bet, then the final result is?
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[Assistant] rs. 37

[User]
a boat can travel with a speed of 25 km / hr in still water. if the speed of the stream is 5 km / hr, find the time taken by the boat to go 90 km downstream.
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[Assistant] 3 hrs


[User]
how many ounces of a 60 % salt solution must be added to 60 ounces of a 20 percent salt solution so that the resulting mixture is 40 % salt?
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[Assistant] 60

[User]
in a college, 50 % of total 400 arts students are locals. 25 % of students from 100 science students are locals and 85 % of total 120 commerce students are locals. what is the total percentage of locals from arts, science and commerce.
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[Assistant] 327

[User]
12 : 6 seconds : :? : 8 minutes
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[Assistant] 16

[User]
a canoe has two oars, left and right. each oar either works or breaks. the failure or non - failure of each oar is independent of the failure or non - failure of the other. you can still row the canoe with one oar. the probability that the left oar works is 3 / 5. the probability that the right oar works is also 3 / 5. what is the probability y that you can still row the canoe?
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[Assistant] 21 / 25

[User]
if jake loses 15 pounds, he will weigh twice as much as his sister. together they now weigh 132 pounds. what is jake ’ s present weight, in pounds?
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[Assistant] 93


[User]
a and b complete a work in 7 days. a alone can do it in 14 days. if both together can do the work in how many days?
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[Assistant] 4.6 days

[User]
a car traveled the first quarter of a certain distance at 4 times the speed it traveled the remaining distance. what proportion of the total time traveled, was the time taken to travel the first quarter of the distance?
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[Assistant] 1 / 13

[User]
one fourth of one third of two fifth of a number is 17. what will be 40 % of that number
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[Assistant] 204

[User]
what is the decimal equivalent of ( 1 / 5 ) ^ 2?
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[Assistant] 0.04

[User]
at an international conference, “ red ” world countries and “ blue ” world countries are the only participants. the ratio of “ red ” world participants to “ blue ” world participants is 10 : 5. if one - third of “ red ” world participants are left - handed and two - thirds of “ blue ” world participants are left - handed, then what is the fraction of the participants who are left - handed?
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[Assistant] 4 / 9


[User]
the average salary / head of allthe workers in a workshop is rs. 750, if the average salary / head of 5 technician is rs. 900 and the average salary / head of the rest is rs. 700, the total no. of workers in the work - shop is?
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[Assistant] 20

[User]
the average age of 10 men increases by 6 years when two women are included in place of two men of ages 18 and 22 years. find the average age of the women?
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[Assistant] 50

[User]
a started a business with an investment of rs. 70000 and after 3 months b joined him investing rs. 120000. if the profit at the end of a year is rs. 43000, then the share of b is?
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[Assistant] 36000

[User]
working together, printer a and printer b would finish the task in 10 minutes. printer a alone would finish the task in 30 minutes. how many pages does the task contain if printer b prints 5 pages a minute more than printer a?
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[Assistant] 150

[User]
the ratio of boys to girl in a school is 5 : 4. if there are 1500 boys in the school, how many girls are there?
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[Assistant] 1200


[User]
a tank can be filled by two pipes a and b in 60 minutes and 40 minutes respectively. how many minutes will it take to fill the tank from empty state if b is used for the first half time and then a and b fill it together for the other half
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[Assistant] 30 mins

[User]
the diameter of a garden roller is 1.4 m and it is 2 m long. how much area will it cover in 4 revolutions? ( use ï € = 22 â  „ 7 )
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[Assistant] 35.2 m 2

[User]
in a group of ducks and cows, the total number of legs are 48 more than twice the no. of heads. find the total no. of buffaloes.
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[Assistant] 24

[User]
two - third of a positive number and 64 / 216 of its reciprocal are equal. the number is :
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[Assistant] 2 / 3

[User]
when positive integer m is divided by positive integer n, the remainder is 12. if m / n = 24.2, what is the value of n?
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[Assistant] 60


[User]
if x and y are positive integers and 12 x = 21 y what is the least possible value of xy?
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[Assistant] 9

[User]
a train crosses a platform of 350 m in 15 sec, same train crosses another platform of length 500 m in 20 sec. then find the length of the train?
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[Assistant] 100 m

[User]
0.001 ã — 0.001 =?
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[Assistant] 1.0 e - 06

[User]
if doubling a number and adding 20 to the result gives the same answer as multiplying the number by 8 and taking away 4 from the product, the number is
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[Assistant] 4

[User]
x + ( 1 / x ) = 3.5 find x ^ 2 + ( 1 / x ^ 2 )
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[Assistant] 10.25


[User]
what is the difference between the largest number and the least number written with the digits 9, 2, 1, 5?
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[Assistant] 8262

[User]
the ratio of flour to water to sugar in a recipe is 7 : 2 : 1. the ratio in a new recipe calls for a doubling of the ratio of flour to water from the original recipe and a halving of the ratio of flour to sugar. if the new recipe calls for 2 cups of water, how much sugar is required?
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[Assistant] 4

[User]
a train, 130 meters long travels at a speed of 45 km / hr crosses a bridge in 30 seconds. the length of the bridge is
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[Assistant] 245 m

[User]
the unit digit in the product 1258 * 6754 * 4512 * 9783 is?
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[Assistant] 2

[User]
a car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 900 kilometers per hour. at what speed, in kilometers per hour, is the car traveling?
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[Assistant] 600


[User]
a school has 4 section of chemistry in class x having 70, 35, 45 and 42 students. the mean marks obtained in chemistry test are 50, 60, 55 and 45 respectively for the 4 sections. determine the overall average of marks per student.
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[Assistant] 51.9

[User]
how much is 40 % of 60 is greater than 4 / 5 of 25?
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[Assistant] 4

[User]
today joelle opened an interest - bearing savings account and deposited $ 5,000. if the annual interest rate is 5 percent compounded interest, and she neither deposits nor withdraws money for exactly 2 years, how much money will she have in the account?
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[Assistant] $ 5512.50

[User]
if the sides of a triangle are 30 cm, 26 cm and 10 cm, what is its area?
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[Assistant] 130

[User]
a store owner estimates that the average price of type a products will increase by 15 % next year and that the price of type b products will increase by 18 % next year. this year, the total amount paid for type a products was $ 4600 and the total price paid for type b products was $ 8400. according to the store owner's estimate, and assuming the number of products purchased next year remains the same as that of this year, how much will be spent for both products next year?
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[Assistant] $ 15,202


[User]
when positive integer n is divided by positive integer p, the quotient is 18, with a remainder of 7. when n is divided by ( p + 2 ), the quotient is 10 and the remainder is 3. what is the value of n?
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[Assistant] 43

[User]
ashok borrowed some money at the rate of 6 % p. a. for the first two years, at the rate of 9 % p. a. for the next 3 years and at the rate of 14 % p. a. for the period beyond 5 years. if he pays a total interest of 11400 / - at the end of 9 years, how much money did he borrow?
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[Assistant] 12000

[User]
` ` i am 8 times as old as you were when i was as old as you are ` `, said a man to his son. find out their present ages if the sum of the their ages is 75 years.
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[Assistant] 27

[User]
ada and paul received their scores on 3 tests. on the first test, ada's score was 10 points higher than paul's score. on the second test, ada's score was 4 points higher than paul's score. if paul's average ( arithmetic mean ) score on the 3 tests was 4 points higher than ada's average score on the 3 tests, then paul's score on the third test was how many points higher than ada's score?
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[Assistant] 26

[User]
the simple interest on a certain sum of money for 3 years at 8 % per annum is half the compound interest on $ 4000 for 2 years at 10 % per annum. the sum placed on simple interest is?
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[Assistant] $ 1750