[User]
the average monthly salary of 15 employees in an organisation is rs. 1800. if the manager's salary is added, then the average salary increases by rs. 150. what is the manager's monthly salary?
Answer the question using a single word or phrase.

[Assistant] rs. 4200

[User]
8 machines, each working at the same constant rate, together can complete a certain job in 24 days. how many additional machines, each working at the same constant rate, will be needed to complete the job in 16 days?
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[Assistant] 4

[User]
a group of boy scouts and girls scouts is going on a rafting trip. 52 % of the scouts arrived with signed permission slips. if 40 % of the scouts were boy scouts and 62.5 % of the boy scouts arrived with signed permission slips, then what percentage of the children were girl scouts who arrived with signed permission slips?
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[Assistant] 27

[User]
seed mixture x is 40 percent ryegrass and 60 percent bluegrass by weight ; seed mixture y is 25 percent ryegrass and 75 % fescue. if a mixture of x and y contains 30 % ryegrass, what percent of the weight of the mixture is x?
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[Assistant] 33 1 / 3 %

[User]
a, b and c invests rs. 4000, rs. 3000 and rs. 2000 in a business. after one year b removed his money ; a and c continued the business for one more year. if the net profit after 2 years be rs. 2400, then b's share in the profit is?
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[Assistant] 480


[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 a.
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[Assistant] 600

[User]
a can do a half of certain work in 60 days and b one third of the same in 35 days. they together will do the whole work in.
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[Assistant] 56 days

[User]
if p is a prime number greater than 3, find the remainder when p ^ 2 + 15 is divided by 12.
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[Assistant] 4

[User]
a merchant marks his goods up by 40 % and then offers a discount of 10 % on the marked price. what % profit does the merchant make after the discount?
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[Assistant] 26 %

[User]
if a and b are positive numbers, and a ^ 3 + b ^ 3 = 100, then the greatest possible value of a is between :
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[Assistant] 4 and 5


[User]
the average age of 18 persons in a office is 15 years. out of these, the average age of 5 of them is 14 years and that of the other 9 persons is 16 years. the age of the 15 th person is?
Answer the question using a single word or phrase.

[Assistant] 56

[User]
money invested at x %, compounded annually, triples in value in approximately every 112 / x years. if $ 1800 is invested at a rate of 8 %, compounded annually, what will be its approximate worth in 28 years?
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[Assistant] $ 16,200

[User]
a profit of rs. 700 is divided between x and y in the ratio of 1 / 2 : 1 / 3. what is the difference between their profit shares?
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[Assistant] s. 140

[User]
a shopkeeper sold an article offering a discount of 5 % and earned a profit of 23.5 %. what would have been the percentage of profit earned if no discount had been offered?
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[Assistant] 30

[User]
p and q started a business investing rs 10000 and rs 15000 resp. in what ratio the profit earned after 2 years be divided between p and q respectively.
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[Assistant] 2 : 3


[User]
find the quantities of two types of rice to be mixed, first variety is of rs. 12 per kg and second variety is of rs. 20 per kg. to get 12 kg of rice mixture worth rs. 15 per kg? ( in kg )
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[Assistant] 7.5, 4.5

[User]
there are 3 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] 6

[User]
a boy is traveling from his house to school at 10 km / hr and reached school 2 hours late. next day he traveled 20 km / hr and reached 1 hour early. then find the distance between house and school?
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[Assistant] 60 km

[User]
the mean daily profit made by a shopkeeper in a month of 30 days was rs. 350. if the mean profit for the first fifteen days was rs. 285, then the mean profit for the last 15 days would be
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[Assistant] rs. 415

[User]
a certain fruit stand sold apples for $ 0.80 each and bananas for $ 0.50 each. if a customer purchased both apples and bananas from the stand for a total of $ 7.20, what total number of apples and bananas did the customer purchase?
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[Assistant] 12


[User]
in the first 7 overs of a cricket game, the run rate was only 4.2. what should be the rate in the remaining 30 overs to reach the target of 282 runs?
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[Assistant] 8.42

[User]
an empty tank be filled with an inlet pipe ‘ a ’ in 42 minutes. after 12 minutes an outlet pipe ‘ b ’ is opened which can empty the tank in 30 minutes. after 6 minutes another inlet pipe ‘ c ’ opened into the same tank, which can fill the tank in 35 minutes and the tank is filled. find the time taken to fill the tank?
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[Assistant] 51.5

[User]
in a group of 50 people, 25 have visited iceland and 23 have visited norway. if 21 people have visited both iceland and norway, how many people have visited neither country?
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[Assistant] 23

[User]
a container holds 4 quarts of alcohol and 4 quarts of water. how many quarts of water must be added to the container to create a mixture that is 3 parts alcohol to 5 parts water by volume?
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[Assistant] 8 / 3

[User]
set a of 8 positive integers may have the same element and have 37. and set b of 8 positive integers must have different elements and have 37. when m and n are the greatest possible differences between 37 and other elements ’ sums in set a and set b, respectively, m - n =?
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[Assistant] 22


[User]
if 6 and 8 are factors of 60 n, what is the minimum value of n?
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[Assistant] 4

[User]
an equal number of desks and bookcases are to be placed along a library wall that is 15 meters long. each desk is 2 meters long, and each bookshelf is 1.5 meters long. if the maximum possible number of desks and bookcases are to be placed along the wall, then the space along the wall that is left over will be how many meters q long?
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[Assistant] 1

[User]
if the average of 8 x and 8 y is greater than 120, and x is twice y, what is the least integer value of x?
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[Assistant] 20

[User]
when positive integer k is divided by 5, the remainder is 2. when k is divided by 6, the remainder is 5. if k is less than 39, what is the remainder when k is divided by 7?
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[Assistant] 3

[User]
in may, the grounds keeper at spring lake golf club built a circular green with an area of 81 π square feet. in august, he doubled the distance from the center of the green to the edge of the green. what is the total area of the renovated green?
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[Assistant] 324 pi


[User]
a straight line in the xy - plane has y - intercept of 49. on this line the x - coordinate of the point is 71 and y - coordinate is 12 then what is the slope of the line?
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[Assistant] - 0.52

[User]
a certain bus driver is paid a regular rate of $ 16 per hour for any number of hours that does not exceed 40 hours per week. for any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75 % higher than his regular rate. if last week the bus driver earned $ 1116 in total compensation, how many total hours did he work that week?
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[Assistant] 57

[User]
a train 450 m long running at 126 kmph crosses a platform in 20 sec. what is the length of the platform?
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[Assistant] 250

[User]
200 is increased by 25 %. find the final number.
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[Assistant] 250

[User]
given that 268 x 74 = 19332, find the value of 2.68 x. 74.
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[Assistant] 1.9332


[User]
a man saves a certain portion of his income during a year and spends the remaining portion on his personal expenses. next year his income increases by 30 % but his savings increase by 100 %. if his total expenditure in 2 years is double his expenditure in 1 st year, what % age of his income in the first year did he save?
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[Assistant] 30 %

[User]
the average age of applicants for a new job is 31, with a standard deviation of 8. 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] 17

[User]
4 weavers can weave 4 mats in 4 days. at the same rate, how many mats would be woven by 12 weavers in 12 days?
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[Assistant] 36

[User]
in a college, the ratio of the number of boys to girls is 8 : 5. if there are 200 girls, the total number of students in the college is
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[Assistant] 520

[User]
a 20 litre mixture of milk and water contains milk and water in the ratio 3 : 2. 10 litres of the mixture is removed and replaced with pure milk and the operation is repeated once more. at the end of the two removal and replacement, what is the ratio q of milk and water in the resultant mixture?
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[Assistant] 9 : 1


[User]
a boatman can row 96 km downstream in 8 hr. if the speed of the current is 4 km / hr, then find in what time will be able to cover 8 km upstream?
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[Assistant] 2 hr

[User]
the average age of 16 persons in a office is 15 years. out of these, the average age of 5 of them is 14 years and that of the other 9 persons is 16 years. the age of the 15 th person is?
Answer the question using a single word or phrase.

[Assistant] 26

[User]
a driver goes on a trip of 50 kilometers, the first 25 kilometers at 60 kilometers per hour and the remaining distance at 30 kilometers per hour. what is the average speed of the entire trip in kilometers per hour?
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[Assistant] 40

[User]
if 2 ^ ( 2 w ) = 8 ^ ( w − 2 ), what is the value of w?
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[Assistant] 6

[User]
895.7 – 573.07 – 95.007 =?
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[Assistant] 227.623


[User]
a train ride from two p to town q costs $ 6.85 more than does a bus ride from town p to town q. together, the cost of one train ride and one bus ride is $ 9.65. what is the cost of a bus ride from town p to town q?
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[Assistant] $ 1.40

[User]
how much 60 % of 50 is greater than 42 % of 30?
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[Assistant] 17.4

[User]
matt gets a $ 1,000 commission on a big sale. this commission alone raises his average commission by $ 150. if matt's new average commission is $ 250, how many sales has matt made?
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[Assistant] 6

[User]
what is the smallest positive integer x for which x 3 + 5 xx 3 + 5 x has a value more than 80?
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[Assistant] 4

[User]
two trains are moving in opposite directions at 60 km / hr and 90 km / hr. their lengths are 1.75 km and 1.25 km respectively. the time taken by the slower train to cross the faster train in seconds is?
Answer the question using a single word or phrase.

[Assistant] 72


[User]
uncle bruce is baking chocolate chip cookies. he has 36 ounces of dough ( with no chocolate ) and 13 ounces of chocolate. how many ounces of chocolate are left over if he uses all the dough but only wants the cookies to consist of 20 % chocolate?
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[Assistant] 4

[User]
how many 4 x 5 x 8 cubes could fit in a 10 x 16 x 84 box?
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[Assistant] 84

[User]
if one positive integer is greater than another positive integer by 4, and the difference of their cubes is 316, what is their sum?
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[Assistant] 10

[User]
the average age of an adult class is 40 years. 10 new students with an avg age of 32 years join the class. therefore decreasing the average by 4 year. find what was theoriginal strength of class?
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[Assistant] 10

[User]
a king has 1000 bottles of wine, a queen wants to kill the king and sends a servant to poison the wine. fortunately the king's guard's catch d servant after he has only poisoned one bottle and the guard do n't know which bottle is poisoned. furthermore it takes one month to have an effect, and there is an anniversary party coming up in 5 weeks time! the king decides he will get some of the prisoners in his vast dungeons to drink the wine. how many minimum prisoners does it required to sample the wine to find out the poisoned bottle so that the guests will still be able to drink the rest of the wine at his anniversary party in 5 weeks time?
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[Assistant] 10


[User]
if x and y are positive integers and 18 x = 12 y what is the least possible value of xy?
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[Assistant] 36

[User]
the area of a circular field is 13.86 hectares. find the cost of fencing it at the rate of rs. 4.90 per metre.
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[Assistant] 6468

[User]
two containers of milk contain mixtures of water and milk in ratio 5 : 4 and 7 : 9. in what ratio they should be mixed so that mixture is of 6 : 6 ratio?
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[Assistant] 9 : 8

[User]
3, 5, 7, 11, 13, 17, 19, ____
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[Assistant] 23

[User]
earl can stuff advertising circulars into envelopes at the rate of 36 envelopes per minutes and ellen requires a minutes and half to stuff the same number of envelops. working together, how long will it take earl and ellen to stuff 360 envelopes
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[Assistant] 6 minutes


[User]
if x / 4 years ago roger was 14 years old and x / 4 years from now he will be 4 x years old, how old will he be 4 x years from now?
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[Assistant] 31

[User]
the present population of a town is 220. population increase rate is 10 % p. a. find the population of town after 1 years?
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[Assistant] 242

[User]
if a = 105 and a ^ 3 = 21 × 25 × 45 × b, what is the value of b?
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[Assistant] 49

[User]
if 1 / 2 of the air in a tank is removed with each stroke of a vacuum pump, what fraction of the original amount of air has been removed after 2 strokes?
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[Assistant] 3 / 4

[User]
the true discount on a bill due 9 months hence at 16 % per annum is rs. 270. the amount of the bill is
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[Assistant] 2520


[User]
for a group of n people, k of whom are of the same sex, the ( n - k ) / n expression yields an index for a certain phenomenon in group dynamics for members of that sex. for a group that consists of 25 people, 8 of whom are females, by how much does the index for the females exceed the index for the males in the group?
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[Assistant] 0.36

[User]
at the end of year x, automobile installment credit accounted for 36 % of all outstanding consumer installment credit. at that time automobile finance companies extended $ 57 billion of credit, or 1 / 3 of the automobile installment credit. how many billion dollars of consumer installment credit was outstanding at that time?
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[Assistant] 475

[User]
the perimeter of a semi circle is 122 cm then the radius is?
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[Assistant] 24

[User]
what is the units digit of ( 493 ) ( 915 ) ( 381 ) ( 756 ) ( 28 )
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[Assistant] 1

[User]
if the average ( arithmetic mean ) of a and b is 150, and the average of b and c is 90, what is the value of a − c?
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[Assistant] 120


[User]
a number is said to be prime saturated if the product of all the different positive prime factors of e is less than the square root of e. what is the greatest two digit prime saturated integer?
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[Assistant] 96

[User]
claire has a total of 92 pets consisting of gerbils and hamsters only. one - quarter of the gerbils are male, and one - third of the hamsters are male. if there are 25 males altogether, how many gerbils does claire have?
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[Assistant] 68

[User]
a car ferry can hold up to 60 tons of cargo. what is the greatest number of vehicles that the ferry can carry if half the vehicles are cars with an average ( arithmetic mean ) weight of 0.75 tons and half of the vehicles are trucks with an average ( arithmetic mean ) weight of 5 tons?
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[Assistant] 20

[User]
if a man walks at the rate of 4 kmph, he misses a train by only 6 min. however, if he walks at the rate of 5 kmph he reaches the station 6 minutes before the arrival of the train. the distance covered by him to reach the station is
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[Assistant] 4 km

[User]
what is the sum of all even integers between 99 and 301?
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[Assistant] 20200


[User]
a person was asked to state his age in years. his reply was, ` ` take my age 4 years hence, multiply it by 4 and subtract 4 times my age 4 years ago and you will know how old i am. ''what was the age of the person?
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[Assistant] 32

[User]
the average ( arithmetic mean ) of the even integers from 24 to 48 inclusive is how much greater than the average ( arithmetic mean ) of the even integers from 12 to 24 inclusive?
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[Assistant] 18

[User]
2 friends a and b running up hill and then to get down length of road - 440 yads a on his return journey met b going up at 20 yards from top if a has finished race 5 minute earlier than b then how much time a had taken to complete the race?
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[Assistant] 110 minute

[User]
a train speeds past a pole in 25 seconds and a platform 500 m long in 35 seconds. its length is :
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[Assistant] 1250 m

[User]
the average age of 40 students in a class is 15 years. if the age of teacher is also included, the average becomes 16 years, find the age of the teacher.
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[Assistant] 56


[User]
14 different biology books and 8 different chemistry books lie on a shelf. in how many ways can a student pick 2 books of each type?
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[Assistant] 2548

[User]
the average of non - zero number and its square is 5 times the number. the number is :
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[Assistant] 9

[User]
evaluate : 50 - 12 ÷ 4 × 2 =
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[Assistant] 44

[User]
if 40 % of 3 / 5 of a number is 36, then the number is?
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[Assistant] 150

[User]
the sum and the product of two numbers are 24 and 23 respectively, the difference of the number is?
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[Assistant] 22


[User]
at a certain company, each employee has a salary grade s that is at least 1 and at most 7. each employee receives an hourly wage p, in dollars, determined by the formula p = 9.50 + 0.25 ( s – 1 ). an employee with a salary grade of 7 receives how many more dollars per hour than an employee with a salary grade of 1?
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[Assistant] $ 1.50

[User]
machine a can process 6000 envelopes in 3 hours. machines b and c working together but independently can process the same number of envelopes in 2.5 hours. if machines a and c working together but independently process 3000 envelopes in 1 hour, then how many hours would it take machine b to process 2800 envelopes.
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[Assistant] 2

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

[User]
ron has had 3 pay cuts in her salary in the past 6 months. if the first pay cut was 5 %, the second pay cut was 10 % and the third was 15 %. what will be the percentage decrease, if the salary is decreased in a single shot?
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[Assistant] 27.33 %

[User]
when positive integer n is divided by 5, the remainder is 1. when n is divided by 7, the remainder is 3. what is the smallest positive integer k such that k + n is a multiple of 50.
Answer the question using a single word or phrase.

[Assistant] 12


[User]
two tests had the same maximum mark. the pass percentages in the first and the second test were 40 % and 45 % respectively. a candidate scored 222 marks in the second test and failed by 39 marks in that test. find the pass mark in the first test?
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[Assistant] 232

[User]
if the sum of the first n positive integers is s, what is the sum of the first n positive integers divisible by 3, in terms of s?
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[Assistant] 3 s

[User]
two trains are moving in opposite directions at 60 km / hr and 90 km / hr. their lengths are 1.10 km and 1.4 km respectively. the time taken by the slower train to cross the faster train in seconds is?
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[Assistant] 60

[User]
if x # y is defined to equal x ^ 2 / y for all x and y, then ( - 1 # 2 ) # 2 =
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[Assistant] 1 / 8

[User]
a can do a piece of work in 4 days. b can do it in 6 days. with the assistance of c they completed the work in 2 days. find in how many days can c alone do it?
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[Assistant] 12 days


[User]
how many seconds will a 800 metre 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 63 km / hr?
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[Assistant] 48

[User]
the weights of one liter vegetable ghee packet of two brands ‘ a ’ and ‘ b ’ are 900 gm and 850 gm respectively. if they are mixed in the ratio of 3 : 2 by volumes to form a mixture of 4 liters, what is the weight ( in kg ) of the mixture?
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[Assistant] 3.52

[User]
at veridux corporation, there are 210 employees. of these, 90 are female, and the rest are males. there are a total of 40 managers, and the rest of the employees are associates. if there are a total of 135 male associates, how many female managers are there?
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[Assistant] 55

[User]
7 chess players take part in a tournament. every player plays twice with each of his opponents. how many games are to be played?
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[Assistant] 42

[User]
what is value of x if 32 - y = 16 x - y?
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[Assistant] 2


[User]
find the cost of fencing around a circular field of diameter 18 m at the rate of rs. 2.50 a meter?
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[Assistant] 140

[User]
what is the least value of x. so that 23 x 58 is divisible by 3.
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[Assistant] 0

[User]
a train passes a station platform in 36 sec and a man standing on the platform in 22 sec. if the speed of the train is 54 km / hr. what is the length of the platform?
Answer the question using a single word or phrase.

[Assistant] 210

[User]
fox jeans regularly sell for $ 15 a pair and pony jeans regularly sell for $ 18 a pair. during a sale these regular unit prices are discounted at different rates so that a total of $ 8.55 is saved by purchasing 5 pairs of jeans : 3 pairs of fox jeans and 2 pairs of pony jeans. if the sum of the two discount rates is 22 percent, what is the discount rate on pony jeans?
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[Assistant] 15 %

[User]
the average age of a, b and c is 29 years. if the average age of a and c is 32 years, what is the age of b in years?
Answer the question using a single word or phrase.

[Assistant] 23


[User]
the number of sailors on a ship is 88 % more than the number of officers. the ratio of sailors to officers would be
Answer the question using a single word or phrase.

[Assistant] 47 : 25

[User]
if each side of a square is increased by 6 %, find the percentage change in its area?
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[Assistant] 12.36 %

[User]
a coin is tossed 7 times. what is the probability of getting exactly 6 heads?
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[Assistant] 7 / 128

[User]
approximately how many cubic feet of water are needed to fill a circular swimming pool that is 60 feet across and 6 feet deep?
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[Assistant] 17000

[User]
how many integer values r are there for x such that 1 < 3 x + 5 < 17?
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[Assistant] five


[User]
find the missing value : 8597 -? = 7429 - 4358
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[Assistant] 5526

[User]
if m and n are positive integers and n ≠ 1, then mn ( n − 1 ) is
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[Assistant] mn ^ 2 - mn

[User]
two numbers are in the ratio of 5 : 7. if 20 is subtracted from each number, they are in the ratio of 5 : 9. what are the two numbers?
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[Assistant] 40, 56

[User]
a train 500 m long can cross an electric pole in 10 sec and then find the speed of the train?
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[Assistant] 180

[User]
a retailer sold 2 houses at each $ 15000. on 1 st house he got 20 % profit and on 2 nd house he loss 5 % then find his net profit or loss?
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[Assistant] 14 %


[User]
ages of two persons differ by 16 years. if 6 year ago, the elder one be 3 times as old the younger one, find their present age
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[Assistant] 14,30

[User]
the sum of two consecutive numbers is 452. the greatest among these three number is :
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[Assistant] 226

[User]
a car travels uphill at 30 km / hr and downhill at 90 km / hr. it goes 100 km uphill and 50 km downhill. find the average speed of the car?
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[Assistant] 39 kmph

[User]
six 6 faced dice are thrown together. the probability that all the three show the same number on them is?
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[Assistant] 1 / 7776

[User]
a present value of a machine is $ 700. its value depletion rate is 10 % per annum then find the machine value after 2 years?
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[Assistant] $ 567


[User]
if xy denotes x is raised to the power y, find the last two digits of 19413843 + 19614181
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[Assistant] 62

[User]
two trains 200 m and 180 m long are running on parallel rails at the rate of 40 kmph and 45 kmph respectively. in how much time will they cross each other, if they are running in the same direction?
Answer the question using a single word or phrase.

[Assistant] 273.6 sec

[User]
at deluxe paint store, fuchsia paint is made by mixing 5 parts of red paint with 3 parts of blue paint. mauve paint is made by mixing 3 parts of red paint with 5 parts blue paint. how many liters of blue paint must be added to 24 liters of fuchsia to change it to mauve paint?
Answer the question using a single word or phrase.

[Assistant] 16

[User]
the manager at a health foods store mixes a unique superfruit juice cocktail that costs $ 1399.45 per litre to make. the cocktail includes mixed fruit juice and a ç ai berry juice, which cost $ 262.85 per litre and $ 3104.35 per litre, respectively. the manager has already opened 33 litres of the mixed fruit juice. how many litres of the a ç ai berry juice does he need to add?
Answer the question using a single word or phrase.

[Assistant] 22 litres

[User]
if the sales tax reduced from 3 1 / 2 % to 3 1 / 3 %, then what difference does it make to a person who purchases an article with market price of rs. 7800?
Answer the question using a single word or phrase.

[Assistant] 13


[User]
a train 200 m long is running with a speed of 68 kmph. in what time will it pass a man who is running at 8 kmph in the same direction in which the train is going?
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[Assistant] 12 sec.

[User]
in town x, 96 percent of the population are employed, and 24 percent of the population are employed males. what percent of the employed people in town x are females?
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[Assistant] 75 %

[User]
a circular garden is surrounded by a fence of negligible width along the boundary. if the length of the fence is 1 / 4 of th area of the garden. what is the radius of the circular garden?
Answer the question using a single word or phrase.

[Assistant] 8

[User]
in an entrance exam, 3 marks is awarded for every correct answer and ( - 1 ) for every wrong answer. if a student gets 38 marks after attempting all questions, find the number of questions answered correctly if the total questions were 70.
Answer the question using a single word or phrase.

[Assistant] 27

[User]
a meal cost $ 35.50 adn there was no tax. if the tip was more than 5 pc but less than 8 pc of the price, then the total amount paid should be :
Answer the question using a single word or phrase.

[Assistant] 37 - 38


[User]
in a certain kindergarten, every child has got either a dog or a cat or both. 18 children have got dogs only and 6 children have got both dogs and cats. if there are 30 children in the kindergarten, how many of them have cats?
Answer the question using a single word or phrase.

[Assistant] 12

[User]
if 45 % of z is 90 % of y and y is 75 % of x, what percent of x is z?
Answer the question using a single word or phrase.

[Assistant] 150

[User]
for each month of a given year except december, a worker earned the same monthly salary and donated one - tenth of that salary to charity. in december, the worker earned n times his usual monthly salary and donated one - fifth of his earnings to charity. if the worker's charitable contributions totaled one - seventh of his earnings for the entire year, what is the value of n?
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[Assistant] 33 / 4

[User]
solve the quickfire maths brain teaser â ˆ š 49 % =?
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[Assistant] 70 %

[User]
the compound ratio of 1 : 4, 3 : 2 and 4 : 5?
Answer the question using a single word or phrase.

[Assistant] 3 : 10


[User]
if the operation € is defined for all x and y by the equation x € y = 2 * x * y, then 6 € ( 4 € 5 ) =
Answer the question using a single word or phrase.

[Assistant] 480

[User]
a is a working partner and b is a sleeping partner in a business. a puts in 50,000 and b 60,000. a gets 12.5 % of the profit for managing the business, and the rest is divided in proportion to their capitals. find the share of a in profit of 8800.
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[Assistant] 4600

[User]
the number x of cars sold each week varies with the price y in dollars according to the equation x = 800000 – 50 y. what would be the total weekly revenue, in dollars, from the sale of cars priced at $ 12000?
Answer the question using a single word or phrase.

[Assistant] 2,400, 000,000

[User]
running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. at this rate, how many bottles could 20 such machines produce in 4 minutes?
Answer the question using a single word or phrase.

[Assistant] 3600

[User]
the average height of 20 students in a class was calculated as 175 cm. it has later found that the height of one of the students in the class was incorrectly written as 151 cm whereas the actual height was 111 cm. what was the actual average height of the students in the class?
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[Assistant] 173 cm


[User]
john was thrice as old as tom 6 years ago. john will be 2 times as old as tom in 4 years. how old is tom today?
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[Assistant] 16

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

[Assistant] $ 3000

[User]
in goshawk - eurasian nature reserve 30 percent of the birds are hawks, and 40 percent of the non - hawks are paddyfield - warblers. if there are 25 percent as many kingfishers as paddyfield - warblers in the reserve, then what percent of the birds w in the nature reserve are not hawks, paddyfield - warblers, or kingfishers?
Answer the question using a single word or phrase.

[Assistant] 35 %

[User]
jill invests $ 10000 in an account that pays an annual rate of 3.96 %, compounding semi - annually. approximately how much t does she have in her account after two years?
Answer the question using a single word or phrase.

[Assistant] t = $ 10815.83

[User]
in an intercollegiate competition that lasted for 3 days, 115 students took part on day 1, 80 on day 2 and 100 on day 3. if 50 took part on day 1 and day 2 and 70 took part on day 2 and day 3 and 40 took part on all three days, how many students took part only on day 3?
Answer the question using a single word or phrase.

[Assistant] 20


[User]
a lady grows cauliflower in her garden that is in the shape of a square. each cauliflower takes 1 square foot of area in her garden. this year, she has increased her output by 401 cauliflower when compared to last year. the shape of the area used for growing the cauliflower has remained a square in both these years. how many cauliflowers did she produce this year?
Answer the question using a single word or phrase.

[Assistant] 40401

[User]
if 5 gallons of gasoline are added to a tank that is already filled to 3 / 4 of its capacity, the tank is then filled to 9 / 10 of its capacity. how many gallons does the tank hold?
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[Assistant] 30

[User]
a retailer buys 120 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] 230

[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 68 %
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[Assistant] 14.11

[User]
on dividing number by 56, we get 29 as remainder. on dividing the same number by 8, what will be the remainder?
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[Assistant] 5


[User]
the simple interest and the true discount on a certain sum for a given time and at a given rate are rs. 88 and rs. 80 respectively. the sum is :
Answer the question using a single word or phrase.

[Assistant] 880

[User]
machines x and y produce bottles at their respective constant rates. machine x produces k bottles in 3 hours and machine y produces k bottles in 2 hours. how many hours does it take machines x and y, working simultaneously, to produce 12 k bottles?
Answer the question using a single word or phrase.

[Assistant] 72 / 5

[User]
a family pays $ 800 per year for an insurance plan that pays 65 percent of the first $ 1,000 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.
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[Assistant] $ 1,500

[User]
by how much is 3 - fifth of 390 greater than 4 - seventh of 210?
Answer the question using a single word or phrase.

[Assistant] 114

[User]
if difference between compound interest and simple interest on a sum at 10 % p. a. for 2 years is rs. 51 then sum is
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[Assistant] rs. 5100


[User]
if x is 30 percent more than y and y is 50 percent less than z, then x is what percent of z?
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[Assistant] 65 %

[User]
a certain number of men can do a work in 20 days. if there were 4 men more it could be finished in 5 days less. how many men are there?
Answer the question using a single word or phrase.

[Assistant] 12

[User]
a farmer spent $ 38 on feed for chickens and goats. he spent 40 % money on chicken feed, which he bought at a 20 % discount off the full price, and spent the rest on goat feed, which he bought at full price. if the farmer had paid full price for both the chicken feed and the goat feed, what amount would he have spent on the chicken feed and goat feed combined?
Answer the question using a single word or phrase.

[Assistant] $ 41.80

[User]
10 men and 15 women together can complete a work in 7 days. it takes 100 days for one man alone to complete the same work. how many days will be required for one woman alone to complete the same work?
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[Assistant] 350 days

[User]
a can do a work in 60 days. he works for 15 days and later b alone completes the work in 30 days. in what time will they together complete the work?
Answer the question using a single word or phrase.

[Assistant] 24 days


[User]
jerry and beth each drove from smallville to crown city by different routes. jerry drove an an average speed of 40 miles per hour and completed the trip in 30 minutes. beth's route was 5 miles longer, and it took her 20 minutes more than jerry to complete the trip. how many miles per hour was beth's average speed on this trip?
Answer the question using a single word or phrase.

[Assistant] 30

[User]
a can do a work in 15 days and b in 20 days. if they work on it together for 3 days, then the fraction of the work that is left is
Answer the question using a single word or phrase.

[Assistant] 13 / 20

[User]
a certain company had a total annual expenditure of 1.47 ∗ 10 ^ 7 on employee salaries last year. if the company employed 420 people, what was the average employee salary?
Answer the question using a single word or phrase.

[Assistant] $ 35,000

[User]
machine a can finish a job in 4 hours, machine в can finish the job in 12 hours, and machine с can finish the job in 8 hours. how many hours will it take for a, b, and с together to finish the job?
Answer the question using a single word or phrase.

[Assistant] 24 / 11

[User]
the number 130 can be written as the sum of the squares of 2 different positive integers. what is the sum of these 2 integers?
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[Assistant] 14


[User]
if 10000 microns = 1 decimeter, and 1000000000 angstroms = 1 decimeter, how many angstroms equal 1 micron?
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[Assistant] 1, 000,000

[User]
pipe a can fill a tank in 24 minutes. pipe b can fill the same tank 6 times faster than pipe a. if both the pipes are connected to the tank so that they fill the tank simultaneously, how long will it take for the empty tank to overflow?
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[Assistant] 3 minutes

[User]
if the arithmetic mean of p and q is 10 and the arithmetic mean of q and r is 24, what is the value of r - p?
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[Assistant] 28

[User]
the ratio of three numbers is 6 : 7 : 5 and their sum is 108. the second number of the three numbers is?
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[Assistant] 42

[User]
a room is 6 meters 24 centimeters in length and 4 meters 32 centimeters in width. find the least number of square tiles of equal size required to cover the entire floor of the room?
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[Assistant] 117


[User]
the average of first five prime numbers greater than 61 is?
Answer the question using a single word or phrase.

[Assistant] 74.6

[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 24 km / hr. find the total journey in km
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[Assistant] 224 km

[User]
calculate how many seconds it will take for 4 bells to toll together again, given that they begin to toll together respectively at the intervals of 9, 10, 14 and 18 seconds.?
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[Assistant] 630

[User]
the size of a flat - screen tablet is given as the length of the screen ’ s diagonal. how many square inches greater is the screen of a square 8 - inch flat - screen tablet than a square 7 - inch flat - screen tablet?
Answer the question using a single word or phrase.

[Assistant] 7.5

[User]
if the wheel is 14 cm then the number of revolutions to cover a distance of 1672 cm is?
Answer the question using a single word or phrase.

[Assistant] 19


[User]
if f ( f ( n ) ) + f ( n ) = 2 n + 3, f ( 0 ) = 1 then f ( 2016 ) =?
Answer the question using a single word or phrase.

[Assistant] 2017

[User]
a box has exactly 100 balls, and each ball is either red, blue, or white. if the box has 12 more blue balls than white balls, and six times as many red balls as blue balls, how many white balls does the box has?
Answer the question using a single word or phrase.

[Assistant] 2

[User]
75 percent of andrea's living room floor is covered by a carpet that is 4 feet by 9 feet. what is the area of her living room floor?
Answer the question using a single word or phrase.

[Assistant] 48

[User]
there are 408 boys and 264 girls in a school which are to be divided into equal sections of either boys or girls alone. find the total number of sections thus formed.
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[Assistant] 28

[User]
the speed at which a woman can row a boat in still water is 120 kmph. if she rows downstream, where the speed of current is 60 kmph, what time will he take to cover 500 metres?
Answer the question using a single word or phrase.

[Assistant] 10


[User]
a company that ships boxes to a total of 15 distribution centers uses color coding to identify each center. if either a single color or a pair of two different colors is chosen to represent each center and if each center is uniquely represented by that choice of one or two colors, what is the minimum number of colors needed for the coding? ( assume that the order of the colors in a pair does not matter )
Answer the question using a single word or phrase.

[Assistant] 5

[User]
at a small company, 61 percent of the employees are women, and 60 percent of the employees are married. if 2 / 3 of the men are single, what fraction of the women are married?
Answer the question using a single word or phrase.

[Assistant] 47 / 61

[User]
one pipe can fill a tank three times as fast as another pipe. if together the two pipes can fill tank in 39 min, then the slower pipe alone will be able to fill the tank in?
Answer the question using a single word or phrase.

[Assistant] 156

[User]
in the first 10 overs of a cricket game, the run rate was only 3.2. what should be the rate in the remaining 40 overs to reach the target of 252 runs?
Answer the question using a single word or phrase.

[Assistant] 5.5

[User]
at what price must an article costing rs. 85.5 be marked in order that after deducting 5 % from the list price. it may be sold at a profit of 25 % on the cost price?
Answer the question using a single word or phrase.

[Assistant] 112.5


[User]
we have boxes colored either red or blue. in each blue box there is a fixed number of blueberries. in each red box there is a fixed number of strawberries. if we dispose of one blue box for one additional red box, the total number of berries would increase by 12, and the difference between the total number of strawberries and the total number of blueberries would increase by 76. each blue box contains how many blueberries?
Answer the question using a single word or phrase.

[Assistant] 32

[User]
15 men take 20 days of 8 hours each to do a piece of work. how many days of 6 hours each would 21 women take to do the same. if 3 women do as much work as 2 men?
Answer the question using a single word or phrase.

[Assistant] 28.57

[User]
an association of mathematics teachers has 1,500 members. only 525 of these members cast votes in the election for president of the association. what percent of the total membership voted for the winning candidate if the winning candidate received 36 percent of the votes cast?
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[Assistant] 12.6 %

[User]
how many multiples of 10 are there between 81 and 358?
Answer the question using a single word or phrase.

[Assistant] 27

[User]
in a competitive examination in state a, 6 % candidates got selected from the total appeared candidates. states b had an equal number of candidates appeared and 7 % candidates got selected with 80 more candidates got selected than a. what was the number of candidates appeared from each state?
Answer the question using a single word or phrase.

[Assistant] 8000


[User]
a train leaves mumabai at 9 am at a speed of 45 kmph. after one hour, another train leaves mumbai in the same direction as that of the first train at a speed of 90 kmph. when and at what distance from mumbai do the two trains meet?
Answer the question using a single word or phrase.

[Assistant] 90

[User]
in 1990 the budgets for projects q and v were $ 660,000 and $ 860,000, 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] 1995

[User]
a train 100 m long crosses a platform 200 m long in 15 sec ; find the speed of the train?
Answer the question using a single word or phrase.

[Assistant] 72 kmph

[User]
the average salary of 15 people in the shipping department at a certain firm is $ 20,000. the salary of 5 of the employees is $ 25,000 each and the salary of 4 of the employees is $ 20,000 each. what is the average salary of the remaining employees?
Answer the question using a single word or phrase.

[Assistant] $ 15,800

[User]
if 0.10 of a number is equal to 0.070 of another number, the ratio of the numbers is :
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[Assistant] 7 : 10


[User]
a person spends 1 / 3 rd of the money with him on clothes, 1 / 5 th of the remaining on food and 1 / 4 th of the remaining on travel. now, he is left with rs 600. how much did he have with him in the beginning?
Answer the question using a single word or phrase.

[Assistant] s 1500

[User]
a fruit drink is made of orange, watermelon, and grape juice, where 15 percent of the drink is orange juice and 60 percent is watermelon juice. if the drink is made with 30 ounces of grape juice, how many ounces is the drink total?
Answer the question using a single word or phrase.

[Assistant] 120

[User]
sam invested rs. 3000 @ 10 % per annum for one year. if the interest is compounded half - yearly, then the amount received by sam at the end of the year will be?
Answer the question using a single word or phrase.

[Assistant] 3307.5

[User]
the parameter of a square is equal to the perimeter of a rectangle of length 7.5 cm and breadth 6.5 cm. find the circumference of a semicircle whose diameter is equal to the side of the square. ( round off your answer to two decimal places )?
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[Assistant] 10.21

[User]
a space shuttle orbits the earth at about 12 kilometers per second. this speed is equal to how many kilometers per hour?
Answer the question using a single word or phrase.

[Assistant] 43,200


[User]
a collection of books went on sale, and 2 / 3 of them were sold for $ 1.50 each. if none of the 36 remaining books were sold, what was the total amount received for the books that were sold?
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[Assistant] $ 108

[User]
if 213 × 16 = 3408, then 0.16 × 2.13 is equal to :
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[Assistant] 0.3408

[User]
what is the smallest positive integer x such that 80 - x is the cube of a positive integer
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[Assistant] 16

[User]
the l. c. m of two numbers is 495 and their h. c. f is 5. if the sum of the numbers is 10, then their difference is :
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[Assistant] 10

[User]
if two dice are thrown together, the probability of getting a square number on both the dice is
Answer the question using a single word or phrase.

[Assistant] 1 / 12


[User]
what is the area of a square field whose diagonal of length 28 m?
Answer the question using a single word or phrase.

[Assistant] 392

[User]
in 1982 and 1983, company b ’ s operating expenses were $ 12.0 million and $ 13.0 million, respectively, and its revenues were $ 15.6 million and $ 18.8 million, respectively. what was the percent increase in company b ’ s profit ( revenues minus operating expenses ) from 1982 to 1983?
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[Assistant] 61 1 / 9 %

[User]
16 machines can do a work in 10 days. how many machines are needed to complete the work in 40 days?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
the salary of a, b, c, d, e is rs. 8000, rs. 5000, rs. 15000, rs. 7000, rs. 9000 per month respectively, then the average salary of a, b, c, d, and e per month is
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[Assistant] rs. 8800

[User]
if n is a prime number greater than 19, what is the remainder when n ^ 2 is divided by 12?
Answer the question using a single word or phrase.

[Assistant] 1


[User]
total number of 4 digit number do not having the digit 3 or 6.
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[Assistant] 19

[User]
the average weight of a, b and c is 43 kg. if the average weight of a and b be 40 kg and that of b and c be 43 kg, then the weight of b is :
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[Assistant] 37 kg

[User]
the length of rectangle is thrice its breadth and its perimeter is 80 m, find the area of the rectangle?
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[Assistant] 360

[User]
a dog breeder currently has 9 breeding dogs. 6 of the dogs have exactly 1 littermate, and 3 of the dogs have exactly 2 littermates. if 2 dogs are selected at random, what is the probability r that both selected dogs are not littermates?
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[Assistant] 5 / 6

[User]
a train running at the speed of 60 km / hr crosses a pole in 21 seconds. what is the length of the train?
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[Assistant] 350 m


[User]
a number when divided by 214 gives a remainder 35, what remainder will be obtained by dividing the same number 14?
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[Assistant] 11

[User]
a number whose fifth part increased by 3 is equal to its fourth part diminished by 3 is?
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[Assistant] 120

[User]
a military camp has a food reserve for 250 personnel for 40 days. if after 15 days 50 more personnel are added to the camp, find the number of days the reserve will last for?
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[Assistant] 25

[User]
in how many years rs 200 will produce the same interest at 10 % as rs. 1000 produce in 2 years at 12 %
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[Assistant] 12

[User]
a store ’ s selling price of $ 2240 for a certain computer would yield a profit of 40 percent of the store ’ s cost for the computer. what selling price would yield a profit of 60 percent of the computer ’ s cost?
Answer the question using a single word or phrase.

[Assistant] $ 2560


[User]
a person buys 18 local tickets for rs 110. each first class ticket costs rs 10 and each second class ticket costs rs 3. what will another lot of 18 tickets in which the numbers of first class and second class tickets are interchanged cost?
Answer the question using a single word or phrase.

[Assistant] 124

[User]
for all numbers a and b, the operationis defined by ab = ( a + 2 ) ( b – 3 ). if 3 y = – 30, then y =
Answer the question using a single word or phrase.

[Assistant] - 3

[User]
a train 250 m long running at 72 kmph crosses a platform in 40 sec. what is the length of the platform?
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[Assistant] 450 m

[User]
out of 3 given numbers, the first one is twice the second and 3 times the third. if the average of these numbers is 88, then the difference between first and third is.
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[Assistant] 96

[User]
an item is being sold for $ 10 each. however, if a customer will “ buy at least 3 ” they have a promo discount of 32 %. also, if a customer will “ buy at least 10 ” items they will deduct an additional 8 % to their “ buy at least 3 ” promo price. if sam buys 10 pcs of that item how much should he pay?
Answer the question using a single word or phrase.

[Assistant] $ 70.00


[User]
r is the set of positive odd integers less than 200, and s is the set of the squares of the integers in r. how many elements does the intersection of r and s contain?
Answer the question using a single word or phrase.

[Assistant] seven

[User]
the cost to park a car in a certain parking garage is $ 9.00 for up to 2 hours of parking and $ 1.75 for each hour in excess of 2 hours. what is the average ( arithmetic mean ) cost per hour to park a car in the parking garage for 9 hours?
Answer the question using a single word or phrase.

[Assistant] $ 2.36

[User]
find the compound interest on $ 30000 in 2 years at 4 % per annum, the interest being compounded half - yearly?
Answer the question using a single word or phrase.

[Assistant] $ 2472.96

[User]
the average waight of a, b, c is 45 kg. the avg wgt of a & b be 40 kg & that of b, c be 43 kg. find the wgt of b.
Answer the question using a single word or phrase.

[Assistant] 31 kg

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

[Assistant] 21


[User]
population of a city decreases by 10 % at the end of first year and increases by 10 % at the end of second year and again decreases by 10 % at the end of third year. if the population of the city at the end of third year is 4455, then what was the population of the city at the beginning of the first year?
Answer the question using a single word or phrase.

[Assistant] 5000

[User]
a contractor is engaged for 30 days on the condition thathe receives rs. 25 for each day he works & is fined rs. 7.50 for each day is absent. he gets rs. 425 in all. for how many days was he absent?
Answer the question using a single word or phrase.

[Assistant] 10

[User]
stalin and heather are 20 miles apart and walk towards each other along the same route. stalin walks at constant rate that is 1 mile per hour faster than heather's constant rate of 5 miles / hour. if heather starts her journey 20 minutes after stalin, how far from the original destination has heather walked when the two meet?
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[Assistant] 4 miles

[User]
what is the square root of 16?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
a bag marked at $ 240 is sold for $ 120. the rate of discount is?
Answer the question using a single word or phrase.

[Assistant] 50 %


[User]
the average weight of 29 students is 28 kg. by the admission of a new student, the average weight is reduced to 27.2 kg. the weight of the new student is
Answer the question using a single word or phrase.

[Assistant] 4 kg

[User]
the average expenditure of a labourer for 6 months was 80 and he fell into debt. in the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30. his monthly income i
Answer the question using a single word or phrase.

[Assistant] 75

[User]
the length of a rectangle is halved, whileits breadth is tripled. wat is the % change in area?
Answer the question using a single word or phrase.

[Assistant] 50 %

[User]
a man saves 25 % of his monthly salary. if an account of dearness of things he is to increase his monthly expenses by 10 %, he is only able to save rs. 175 per month. what is his monthly salary?
Answer the question using a single word or phrase.

[Assistant] rs. 1000

[User]
a 15 % stock yielding 12 % is quoted at :
Answer the question using a single word or phrase.

[Assistant] s. 125


[User]
on june 1 a bicycle dealer noted that the number of bicycles in stock had decreased by 2 for each of the past 5 months. if the stock continues to decrease at the same rate for the rest of the year, how many fewer bicycles will be in stock on september 1 than were in stock on january 1?
Answer the question using a single word or phrase.

[Assistant] 18

[User]
having received his weekly allowance, john spent 3 / 5 of his allowance at the arcade. the next day he spent one third of his remaining allowance at the toy store, and then spent his last $ 0.92 at the candy store. what is john ’ s weekly allowance?
Answer the question using a single word or phrase.

[Assistant] $ 3.45

[User]
a salesman ’ s terms were changed from a flat commission of 5 % on all his sales to a fixed salary of rs. 1300 plus 2.5 % commission on all sales exceeding rs. 4000. if his remuneration as per new scheme was rs. 600 more than that by the previous schema, his sales were worth?
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[Assistant] 12019

[User]
a sum fetched a total simple interest of 4020.75 at the rate of 9 %. p. a. in 5 years. what is the sum?
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[Assistant] 8935

[User]
two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 28 kmph and 21 kmph respectively. when they meet, it is found that one train has traveled 60 km more than the other one. the distance between the two stations is?
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[Assistant] 588 km


[User]
exactly 3 / 7 of the people in the room are under the age of 21, and exactly 5 / 11 of the people in the room are over the age of 65. if the total number of the people in the room is greater than 50 and less than 100, how many people in the room are under the age of 21?
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[Assistant] 33

[User]
one night 15 percent of the female officers on a police force were on duty. if 300 officers were on duty that night and half of these were female officers, how many female officers were on the police force?
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[Assistant] 1,000

[User]
with # andeach representing different digits in the problem below, the difference between # and # # is 801. what is the value of? # - # # ____ 812
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[Assistant] 9

[User]
a cat leaps 5 leaps for every 4 leaps of a dog, but 3 leaps of the dog are equal to 4 leaps of the cat. what is the ratio of the speed of the cat to that of the dog?
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[Assistant] 15 : 16

[User]
( √ 97 + √ 486 ) / √ 54 =?
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[Assistant] 13 / 3


[User]
a secret can be told only 2 persons in 5 minutes. the same person tells to 2 more persons and so on. how long will take to tell it to 768 persons?
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[Assistant] 35 min

[User]
in what time will a train 110 m long cross an electric pole, it its speed be 144 km / hr?
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[Assistant] 2.75 sec

[User]
9. on level farmland, two runners leave at the same time from the intersection of two country roads. one runner jogs due north at a constant rate of 6 miles per hour while the second runner jogs due east at a constant rate that is 2 miles per hour faster than the first runner's rate. how far apart, to the nearest mile, will they be after 1 / 2 hour?
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[Assistant] 5

[User]
find the smallest number which when divided by 13 and 15 leaves respective remainders of 2 and 4
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[Assistant] 184

[User]
if sharon's weekly salary increased by 16 percent, she would earn $ 406 per week. if instead, her weekly salary were to increase by 20 percent, how much would she earn per week?
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[Assistant] $ 420


[User]
two tains are running in opposite directions with the same speed. if the length of each train is 120 metres and they cross each other in 12 seconds, then the speed of each train ( in km / hr ) is :
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[Assistant] 36

[User]
a taxi company charges $ 2.5 for the first quarter of a mile and fifteen cents for each additional quarter of a mile. what is the maximum distance someone could travel with $ 4.90?
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[Assistant] 4 1 / 4 miles

[User]
a student has to obtain 60 % of the total marks to pass. he got 160 marks and failed by 20 marks. the maximum marks are?
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[Assistant] 300

[User]
in a renowned city, the average birth rate is 7 people every two seconds and the death rate is 2 people every two seconds. estimate the size of the population net increase that occurs in one day.
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[Assistant] 216,000

[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 36.00001 sec. the length of each train is?
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[Assistant] 50


[User]
tom opened a shop investing rs. 500. jose joined him 2 months later, investing rs. 350. they earned a profit of rs. 1720 after completion of one year. what will be jose's share of profit?
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[Assistant] 80

[User]
the sides of a rectangular field are in the ratio 3 : 4. if the area of the field is 8748 sq. m, the cost of fencing the field @ 25 paise per metre is
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[Assistant] rs. 94.50

[User]
the angle between the minute hand and the hour hand of a clock when the time is 4.20, is :
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[Assistant] 10 d

[User]
the positive numbers w, x, y, and z are such that x is 40 percent greater than y, y is 20 percent greater than z, and w is 20 percent less than x. what percent greater than z is w?
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[Assistant] 23.2 %

[User]
if 10 men do a work in 80 days, in how many days will 20 men do it?
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[Assistant] 40 days


[User]
one - third of rahul's savings in national savings certificate is equal to one - half of his savings in public provident fund. if he has rs. 1, 50,000 as total savings, how much has he saved in public provident fund?
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[Assistant] 60000

[User]
a girl goes to her school from her house at a speed of 6 km / hr and returns at a speed of 4 km / hr. if she takes 10 hours in going and coming back, the distance between her school and house is
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[Assistant] 24 kms

[User]
if x = - 6 and y = - 3, what is the value of 4 ( x - y ) ^ 2 - xy?
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[Assistant] 18

[User]
if the sum of the 4 th term and the 12 th term of an arithmetic progression is 12, what is the sum of the first 15 terms of the progression?
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[Assistant] 90

[User]
( 51 + 52 + 53 +... + 100 ) =?
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[Assistant] 3775


[User]
the edges of a cuboid are 2 cm, 5 cm and 8 cm. find the volume of the cuboid?
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[Assistant] 80

[User]
a car was driving at 50 km / h for 30 minutes, and then at 40 km / h for another 30 minutes. what was its average speed?
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[Assistant] 80.

[User]
a and b walk around a circular track. they start at 9 a. m. from the same point in the opposite directions. a and b walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. how many times shall they cross each other before 11 : 00 a. m.?
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[Assistant] 15

[User]
a can do a work in 21 days and b alone can do it 28 days, they begin the work together, but a left after some days. b completed the remaining work in 21 days. after how many days did a leave?
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[Assistant] 3

[User]
a started a business with an investment of rs. 10000 and after 7 months b joined him investing rs. 12000. if the profit at the end of a year is rs. 24000, then the share of b is?
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[Assistant] 8000


[User]
in a certain pond, 30 fish were caught, tagged, and returned to the pond. a few days later, 30 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] 750

[User]
a 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 9 sec. what is the length of the platform?
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[Assistant] 1000 m

[User]
the largest 4 digit number exactly divisible by 88 is :
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[Assistant] 9944

[User]
a and b ’ s salaries together amount to rs. 4,000. a spends 95 % of his salary and b spends 85 % of his. if now their savings are the same, what is a ’ s salary?
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[Assistant] 3000

[User]
the telephone company wants to add an area code composed of 2 letters to every phone number. in order to do so, the company chose a special sign language containing 324 different signs. if the company used 322 of the signs fully and two remained unused, how many additional area codes can be created if the company uses all 324 signs?
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[Assistant] 1292


[User]
the toll t, in dollars, for a truck using a certain bridge is given by the formula t = 3.50 + 0.50 ( x − 2 ), where x is the number of axles on the truck. what is the toll for an 18 - wheel truck that has 2 wheels on its front axle and 4 wheels on each of its other axles?
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[Assistant] $ 5.00

[User]
a train of length l is traveling at a constant velocity and passes a pole in t seconds. if the same train travelling at the same velocity passes a platform in 4 t seconds, then what is the length of the platform?
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[Assistant] 3 l

[User]
the length of a rectangular plot is thrice its width. if the area of the rectangular plot is 675 sq meters, then what is the width ( in meters ) of the rectangular plot?
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[Assistant] 15

[User]
in feb mrs bil's earnings were 70 percent of the bil family's total income. in june mrs bil earned 10 percent more than in may. if the rest of the family's income was the same both months, then, in june, mrs bil's earnings were approximately what percent of the bil family's total income?
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[Assistant] 72

[User]
find the number of zeroes at the end of 50!
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[Assistant] 12


[User]
if 7125 ¸ 1.25 = 5700 < the value of 712.5 ÷ 12.5 is :
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[Assistant] 57

[User]
how many of the positive factors of 33 are not factors of 45?
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[Assistant] 2

[User]
find the principle on a certain sum of money at 5 % per annum for 6 years if the amount being rs. 1120?
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[Assistant] 862

[User]
a certain high school has 500 students. of these students, 40 are taking music, 20 are taking art, and 10 are taking both music and art. how many students are taking neither music nor art?
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[Assistant] 450

[User]
when 1 / 10 percent of 7,000 is subtracted from 1 / 10 of 7,000, the difference is
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[Assistant] 693


[User]
what sum of money will produce rs. 210 as simple interest in 4 years at 3 1 / 2 percent?
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[Assistant] rs. 1500

[User]
while driving from a - ville to b - town, harriet drove at a constant speed of 90 kilometers per hour. upon arriving in b - town, harriet immediately turned and drove back to a - ville at a constant speed of 160 kilometers per hour. if the entire trip took 5 hours, how many minutes did it take harriet to drive from a - ville to b - town?
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[Assistant] 192

[User]
the milk level in a rectangular box measuring 64 feet by 25 feet is to be lowered by 6 inches. how many gallons of milk must be removed? ( 1 cu ft = 7.5 gallons )
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[Assistant] 6000

[User]
a computer store offers employees a 20 % discount off the retail price. if the store purchased a computer from the manufacturer for $ 1000 dollars and marked up the price 20 % to the final retail price, how much would an employee save if he purchased the computer at the employee discount ( 20 % off retail price ) as opposed to the final retail price.
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[Assistant] $ 240

[User]
i sold a book at a profit of 10 %. had i sold it for $ 90 more, 15 % would have been gained. find the cost price?
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[Assistant] $ 1800


[User]
by selling 200 apples, a fruit - seller gains the selling price of 50 apples. find the gain percent?
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[Assistant] 33.33 %

[User]
a, b and c can do a piece of work in 24 days, 30 days and 40 days respectively. they began the work together but c left 8 days before the completion of the work. in how many days was the work completed?
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[Assistant] 12 days

[User]
a man whose bowling average is 12.4, takes 4 wickets for 26 runs and there by decreases his average by 0.4. the number of wickets taken by him before his last match is?
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[Assistant] 55

[User]
an engine moves at the speed of 60 kmph without any coaches attached to it. speed of the train reduces at the rate that varies directly as the square root of the number of coaches attached. when 9 coaches are attached speed decreases to 48 kmph. what will be the speed of train when 25 coaches are attached.
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[Assistant] 40

[User]
a survey was sent to 80 customers, 12 of whom responded. then the survey was redesigned and sent to another 63 customers, 10 of whom responded. by approximately what percent did the response rate increase from the original survey to the redesigned survey?
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[Assistant] 5 %


[User]
a train covers a distance of 12 km in 10 min. if it takes 9 sec to pass a telegraph post, then the length of the train is?
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[Assistant] 180

[User]
in a mixture of 60 litres the ratio of milk to water is 5 : 1. additional 20 litres of water is added to the mixture. find the ratio of milk to water in the resulting mixture.
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[Assistant] 5 : 3

[User]
a train traveling at 72 kmph crosses a platform in 34 seconds and a man standing on the platform in 18 seconds. what is the length of the platform in meters?
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[Assistant] 320 meters

[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 :
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[Assistant] 10

[User]
you have been given a physical balance and 7 weights of 52, 50, 48, 44, 45, 46 and 78 kgs. keeping weights on one pan and object on the other, what is the maximum you can weigh less than 183 kgs.
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[Assistant] 180


[User]
excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 34 kmph. of how many minutes does the train stop per hour?
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[Assistant] 14.6

[User]
a, b and c start a business each investing 20,000. after 5 months a withdrew 5000, b withdrew 4000 and c invests 6000 more. at the end of the year, a total profit of 69,900 was recorded. find the share of b
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[Assistant] 28,200

[User]
5 men or 8 women do equal amount of work in a day. a job requires 3 men and 5 women to finish the job in 10 days how many woman are required to finish the job in 14 days.
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[Assistant] 7

[User]
ajay can walk 10 km in 1 hour. in how many hours he can walk 50 km?
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[Assistant] 5 hrs

[User]
factory x's bulbs work for over 5000 hours in 75 % of cases, whereas factory y's bulbs work for over 5000 hours in 65 % of cases. it is known that factory x supplies 70 % 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] 72 %


[User]
the radius of a wheel is 22.4 cm. what is the distance covered by the wheel in making 1500 resolutions?
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[Assistant] 2112 m

[User]
a 300 meter long train running at the speed of 120 kmph crosses another train running in the opposite direction at the speed of 80 kmph in 9 seconds. what is the lenght of other train.
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[Assistant] 200 m

[User]
by selling 12 pens for a rupee a woman loses 20 %. how many for a rupee should he sell in order to gain 20 %?
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[Assistant] 8

[User]
how many of the positive factors of 26, 16 and how many common factors are there in numbers?
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[Assistant] 2

[User]
find unit digit of n when n = 63 ^ 1! + 2! +... + 63! + 18 ^ 1! + 2! +... + 18! + 37 ^ 1! + 2! +... 37!
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[Assistant] 8


[User]
6 students are equally divided into 3 groups, then, the 3 groups were assigned to 3 different topics. how many different arrangements w are possible?
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[Assistant] 90

[User]
find the value of ( √ 1.5 ) / ( √ 0.81 ) + ( √ 1.44 ) / ( √ 0.49 ) is
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[Assistant] 3.075

[User]
a completes a piece of work in 3 / 4 of the time in b does, b takes 4 / 5 of the time in c does. they got a profit of rs. 40000 how much b gets?
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[Assistant] 12765

[User]
the sum of two consecutive number is 87. which is the larger number?
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[Assistant] 44

[User]
right triangle pqr is to be constructed in the xy - plane so that the right angle is at p and pr is parallel to the x - axis. the x and y coordinates of p, q and r are to be integers that satisfy the inequalitites - 4 ≤ x ≤ 5 and 6 ≤ y ≤ 16. how many different triangles with these properties could be constructed?
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[Assistant] 9900


[User]
when a student joe, weighing 40 kg, joins a group of students whose average weight is 30 kg, the average weight goes up by 1 kg. subsequently, if two students, excluding joe, leave the group the average weight comes back to 30 kg. what is the difference between the average weight of the two students who left and the weight of joe?
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[Assistant] 5 kg

[User]
a certain clock marks every hour by striking a number of times equal to the hour, and the time required for a stroke is exactly equal to the time interval between strokes. at 6 : 00 the time lapse between the beginning of the first stroke and the end of the last stroke is 33 seconds. at 12 : 00, how many seconds elapse between the beginning of the first stroke and the end of the last stroke?
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[Assistant] d. 69

[User]
john bought a total of 20 mangoes and oranges. each mango costs 80 cents and each orange costs 60 cents. if the average price of the 20 mangoes and oranges that john originally purchased was 69 cents, then how many oranges needs to return to raise the average price of his purchase to 72 cents?
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[Assistant] 5

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

[User]
a certain manufacturer of cake, muffin, and bread mixes has 100 buyers, of whom 50 purchases cake mix, 40 purchase muffin mix, and 15 purchase both cake mix and muffin mix. if a buyer is to be selected at random from the 100 buyers, what is the probability that the buyer selected will be one who purchases neither cake mix nor muffin mix?
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[Assistant] 1 / 4


[User]
when the price of an article was reduced by 40 % its sale increased by 80 %. what was the net effect on the sale?
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[Assistant] 8 % increase

[User]
how many integers from 101 to 900, inclusive, remains the value unchanged when the digits were reversed?
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[Assistant] 80

[User]
what is the units digit of 2222 ^ ( 333 ) * 4444 ^ ( 222 )?
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[Assistant] 10

[User]
the ratio of petrol and kerosene in the container is 3 : 2 when 10 liters of the mixture is taken out and is replaced by the kerosene, the ratio become 2 : 3. then total quantity of the mixture in the container is :
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[Assistant] 30

[User]
what is the greatest 6 - digit number when divided by 6, 7, 8, 9, and 10 leaves a remainder of 3, 4, 5, 6 and 7 respectively?
Answer the question using a single word or phrase.

[Assistant] 997917


[User]
a part - time employee whose hourly wage was decreased by 20 percent decided to increase the number of hours worked per week so that the employee's total income did not change. by what percent q should the number of hours worked be increased?
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[Assistant] 25 %

[User]
if each digit in the set a = { 1, 2, 3, 4, 5, 6, 7 } is used exactly once, in how many ways can the digits be arranged?
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[Assistant] 5040

[User]
if the sum of a number and its square is 20, what is the number?
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[Assistant] 4

[User]
roy is now 8 years older than julia and half of that amount older than kelly. if in 4 years, roy will be twice as old as julia, then in 4 years what would be roy ’ s age multiplied by kelly ’ s age?
Answer the question using a single word or phrase.

[Assistant] 192

[User]
an investor deposited $ 5,000 to open a new savings account that earned 4 percent annual interest, compounded quarterly. if there were no other transactions in the account, what was the amount of money in the account 6 months after the account was opened?
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[Assistant] $ 5100.50


[User]
in a group of people, if 30 people were made to stand in each column, 16 columns could be formed. if 48 people were made to stand in a column, how many columns could be formed?
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[Assistant] 10

[User]
18 buckets of water fill a tank when the capacity of each bucket is 60 litres. how many buckets will be needed to fill the same tank, if the capacity of each bucket is 5 litres?
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[Assistant] 216

[User]
a car travels from point a to point b. the average speed of the car is 60 km / hr and it travels the first half of the trip at a speed of 50 km / hr. what is the speed of the car in the second half of the trip?
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[Assistant] 75

[User]
james took a 3 - hour bike ride. in the second hour he traveled 36 miles, which was 20 percent farther than he traveled the first hour. if he traveled 25 percent farther in the third hour than he did in the second hour, how many miles did jose travel during the entire ride?
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[Assistant] 111.0

[User]
a large tanker can be filled by two pipes a and b in 30 and 15 hours respectively. how many hours will it take to fill the tanker from empty state if a and b fill it together?
Answer the question using a single word or phrase.

[Assistant] 10 hr


[User]
a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. if the area of the field is 440 sq. feet, how many feet of fencing will be required?
Answer the question using a single word or phrase.

[Assistant] 64

[User]
the length of a rectangle is two - fifths of the radius of a circle. the radius of the circle is equal to the side of the square, whose area is 3600 sq. units. what is the area ( in sq. units ) of the rectangle if the rectangle if the breadth is 10 units?
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[Assistant] 240

[User]
a certain rectangular window is four times as long as it is wide. if its perimeter is 50 feet, what are its dimensions in terms of length by width?
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[Assistant] 20 by 5

[User]
if l is the least positive integer that is divisible by every integer from 1 to 9 inclusive, then l / 2 is =
Answer the question using a single word or phrase.

[Assistant] 1260

[User]
rs. 1500 is divided into two parts such that if one part is invested at 6 % and the other at 5 % the whole annual interest from both the sum is rs. 82. how much was lent at 5 %?
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[Assistant] 800


[User]
an athlete runs 200 metres race in 24 seconds. what is his speed?
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[Assistant] 30 km / hr

[User]
if the average ( arithmetic mean ) of a and b is 115, and the average of b and c is 160, what is the value of a − c?
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[Assistant] − 90

[User]
in a certain parallelogram the degree measure of one angle exceeds that of the other by 50 what is the degree measure of the smaller angle?
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[Assistant] 65

[User]
jim is able to sell a hand - carved statue for $ 550 which was a 35 % profit over his cost. how much did the statue originally cost him?
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[Assistant] $ 407.41

[User]
pipe b that can fill a tank in an hour and pipe a that can fill the tank in half an hour are opened simultaneously when the tank is empty. pipe a is shut 15 minutes before the tank overflows. when will the tank overflow?
Answer the question using a single word or phrase.

[Assistant] 30 mins


[User]
working together, tim and tom can type 12 pages in one hour. if they would be able to type 15 pages in one hour if tom increases his typing speed by 30 %, what is the ratio of tom's normal typing speed to that of tim?
Answer the question using a single word or phrase.

[Assistant] 5 / 1

[User]
the interest on a certain deposit at 5 % per annum is rs. 101.20 in one year. how much will the additional interest in one year be on the same deposit at 6 % per annum?
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[Assistant] rs. 20.24

[User]
in an election, candidate a got 65 % of the total valid votes. if 15 % of the total votes were declared invalid and the total numbers of votes is 560000, find the number of valid vote polled in favor of candidate.
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[Assistant] 309400

[User]
the profit obtained by selling an article for rs. 86 is the same as the loss obtained by selling it for rs. 42. what is the cost price of the article?
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[Assistant] rs. 64

[User]
a squirrel runs up a cylindrical post, in a perfect spiral path making one circuit for each rise of 4 feet. how many feet does the squirrel travels if the post is 16 feet tall and 3 feet in circumference?
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[Assistant] 12


[User]
a, b and c have rs. 900 between them, a and c together have rs. 400 and b and c rs. 750. how much does c have?
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[Assistant] 250

[User]
dividing by 3 ⁄ 8 and then multiplying by 5 ⁄ 8 is the same as dividing by what number?
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[Assistant] 5 ⁄ 3

[User]
there are 84 supermarkets in the fgh chain. all of them are either in the us or canada. if there are 10 more fgh supermarkets in the us than in canada, how many fgh supermarkets are there in the us?
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[Assistant] 47

[User]
a positive integer, which when added to 1000, gives a sum which is greater than when it is multiplied by 1000. this positive integer is
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[Assistant] 1

[User]
the average of 11 numbers is 22. average of the first 6 of them is 19 and that of the last 6 is 27. find the 6 th number?
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[Assistant] 34


[User]
10 men, working 6 hours a day can complete a work in 18 days. how many hours a day must 15 men work to complete the same work in 12 days?
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[Assistant] 6

[User]
15 men can complete a piece of work in 30 days. in how many days can 10 men complete that piece of work?
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[Assistant] 45

[User]
6 bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. in 30 minutes, how many times do they toll together?
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[Assistant] 16

[User]
the ratio between the length and the breadth of a rectangular park is 3 : 2. if a man cycling along theboundary of the park at the speed of 12 km / hr completes one round in 8 min, then the area of the park ( in sq. m ) is?
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[Assistant] 153600 m

[User]
a sporting goods store sold 64 frisbees in one week, some for $ 3 and the rest for $ 4 each. if receipts from frisbee sales for the week totaled $ 200, what is the fewest number of $ 4 frisbees that could have been sold?
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[Assistant] 8


[User]
when average age of 24 members are 0, how many members greater than 0?
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[Assistant] 23

[User]
a shopkeeper sold an article at $ 100 with 15 % profit. then find its cost price?
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[Assistant] $ 87

[User]
marcella has 26 pairs of shoes. if she loses 9 individual shoes, what is the greatest number of matching pairs she could have left?
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[Assistant] 21

[User]
eight identical machines can produce 360 aluminum cans per hour. if all of the machines work at the same constant rate, how many cans could 5 such machines produce in 4 hours?
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[Assistant] 900

[User]
how many different ways can 2 students be seated in a row of 8 desks, so that there is always at least one empty desk between the students?
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[Assistant] 42


[User]
a large box contains 16 small boxes and each small box contains 25 chocolate bars. how many chocolate bars are in the large box?
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[Assistant] 400

[User]
the sum of 4 consecutive even numbers is 52, find the third number?
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[Assistant] 14

[User]
the ratio between the presents of the a and b is 6 : 7. if b is 4 years older than a, what will be the ratio of the ages of a and b after 4 years?
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[Assistant] 7 : 8

[User]
in an election between two candidates, one got 55 % of the total valid votes, 20 % of the votes were invalid. if the total number of votes was 8000, the number of valid votes that the other candidate got, was :
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[Assistant] 3600

[User]
joe drives 420 miles at 60 miles per hour, and then he drives the next 120 miles at 40 miles per hour. what is his average speed for the entire trip in miles per hour?
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[Assistant] 54


[User]
what is the value of 4 ^ 4 + 4 ^ 6?
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[Assistant] 17 ( 4 ^ 4 )

[User]
if xerox paper costs 5 cents a sheet and a buyer gets 10 % discount on all xerox paper one buys after the first 2000 papers and 20 % discount after first 10000 papers, how much will it cost to buy 35000 sheets of xerox paper?
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[Assistant] $ 1450

[User]
a rectangular floor that measures 6 meters by 8 meters is to be covered with carpet squares that each measure 2 meters by 2 meters. if the carpet squares cost $ 12 apiece, what is the total cost for the number of carpet squares needed to cover the floor?
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[Assistant] $ 144

[User]
in a public show 50 % of the seats were filled. if there were 600 seats in the hall, how many seats were vacant?
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[Assistant] 300

[User]
how many even number in the range between 10 to 100 inclusive are not divisible by 3
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[Assistant] 31


[User]
a and b are partners in a business. a contributes 1 / 4 of the capital for 15 months and b received 2 / 3 of the profit. for how long b ’ s money was used?
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[Assistant] 10 months

[User]
a man buys rs. 52 shares paying 9 % dividend. the man wants to have an interest of 12 % on his money. the market value of each share is :
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[Assistant] s. 39

[User]
at deluxe paint store, fuchsia paint is made by mixing 5 parts of red paint with 3 parts of blue paint. mauve paint is made by mixing 4 parts of red paint with 5 parts blue paint. how many liters of blue paint must be added to 32 liters of fuchsia to change it to mauve paint?
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[Assistant] 13

[User]
if 5 / w + 5 / x = 5 / y and wx = y, then the average ( arithmetic mean ) of w and x is
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[Assistant] 1 / 2

[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 e per glass on the second day?
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[Assistant] $ 0.40


[User]
jerry went to a shop and bought things worth rs. 45, out of which 30 % went on sales tax on taxable purchases. if the tax rate was 6 %, then what was the cost of the tax free items?
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[Assistant] 39.7

[User]
in an examination, 25 % of total students failed in hindi, 48 % failed in english and 27 % in both. the percentage of these who passed in both the subjects is :
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[Assistant] 54

[User]
if john makes a contribution to a charity fund at school, the average contribution size will increase by 50 % reaching $ 75 per person. if there were 2 other contributions made before john's, what is the size of his donation?
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[Assistant] $ 125

[User]
if 20 % of a number = 100, then 120 % of that number will be?
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[Assistant] 600

[User]
in what ratio should a variety of rice costing rs. 20 per kg be mixed with another variety of rice costing rs. 31.50 per kg to obtain a mixture costing rs. 23.75 per kg?
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[Assistant] 31 : 15


[User]
n and m are each 3 - digit integers. each of the numbers 2, 34, 6, 7, and 8 is a digit of either n or m. what is the smallest possible positive difference between n and m?
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[Assistant] 39

[User]
if three painters can complete three rooms in two hours, how many hours 5 painters would it take to do 20 rooms?
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[Assistant] 5

[User]
if anangletis defined as 1 percent of 1 degree, then how many anglets are there in a fifth circle?
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[Assistant] 7200

[User]
worker a takes 5 hours to do a job. worker b takes 10 hours to do the same job. how long it take both a & b, working together but independently, to do the same job?
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[Assistant] 10 / 3

[User]
every day, the value of a stock rises by exactly two dollars in the morning, and then falls by exactly one dollar in the afternoon. if the stock's value at the start of the first day is $ 100, on what day will the stock's value first reach $ 200?
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[Assistant] 99


[User]
what is the remainder when 3 ^ 30 is divided by 5?
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[Assistant] 4

[User]
if two painters can complete four rooms in two hours, how many painters would it take to do 24 rooms in 8 hours?
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[Assistant] 4

[User]
a tank is filled by 3 pipes with uniform flow. the first two pipes operating simultaneously fill the tan in the same time during which the tank is filled by the third pipe alone. the 2 nd pipe fills the tank 5 hours faster than first pipe and 4 hours slower than third pipe. the time required by first pipe is
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[Assistant] 15 hours

[User]
a train 210 m in length crosses a telegraph post in 13 seconds. the speed of the train is?
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[Assistant] 58 kmph

[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. 75 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] 2500