[User]
heinz produces tomato puree by boiling tomato juice. the tomato puree has only 20 % water while the tomato juice has 90 % water. how many liters of tomato puree will be obtained from 40 litres of tomato juice?
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[Assistant] 5 liters.

[User]
david works at a resort from the beginning of march to the end of september. during the month of august this past year, he made 4 times the average ( arithmetic mean ) of his monthly totals in tips for the other months. his total tips for august were what fraction of his total tips for all of the months he worked?
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[Assistant] 2 / 5

[User]
a train 330 metres long is moving at a speed of 25 kmph. it will cross a man coming from the opposite direction at a speed of 2 km per hour in :
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[Assistant] 44 sec

[User]
walking at 4 / 5 of her normal speed, a worker is 15 minutes later than usual in reaching her office. the usual time ( in minutes ) taken by her to cover the distance between her home and her office is
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[Assistant] 60

[User]
a cylinder of height h is 8 / 9 of water. when all of the water is poured into an empty cylinder whose radius is 25 percent larger than that of the original cylinder, the new cylinder is 3 / 5 full. the height of the new cylinder is what percent of h?
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[Assistant] 68 %


[User]
mary passed a certain gas station on a highway while traveling west at a constant speed of 40 miles per hour. then, 15 minutes later, paul passed the same gas station while traveling west at a constant speed of 60 miles per hour. if both drivers maintained their speeds and both remained on the highway for at least 2 hours, how long after he passed the gas station did paul catch up with mary?
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[Assistant] 1 / 2

[User]
a can do a job in 15 days and b in 30 days. if they work on it together for 4 days, then the fraction of the work that is left is?
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[Assistant] 3 / 5

[User]
the population of a city increases by 9 % per year but due to migration it decrease by 1 % per years. what will be the percentage increase in population in 3 years?
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[Assistant] 25.97 %

[User]
a cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.5 m and its walls are 5 cm thick. the thickness of the bottom is :
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[Assistant] 5 dm

[User]
if k is the greatest positive integer such that 3 ^ k is a divisor of 18! then k =
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[Assistant] 8


[User]
if 18888 – n is divisible by 11, and 0 < n < 11, what is n?
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[Assistant] 1

[User]
after decreasing 56 % in the price of an article costs rs. 4400. find the actual cost of an article?
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[Assistant] 10000

[User]
for each of her sales, a saleswoman receives a commission equal to 20 percent of the first $ 500 of the total amount of the sale, plus 45 percent of the total amount in excess of $ 500. if the total amount of one of her sales was $ 800, the saleswoman ’ s commission was approximately what percent of the total amount of the sale?
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[Assistant] 29 %

[User]
a shop owner sells 50 mtr of cloth and gains sp of 10 mtrs. find the gain %?
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[Assistant] 25 %

[User]
find compound interest on rs. 7500 at 4 % per annum for 2 years, compounded annually.
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[Assistant] rs. 612


[User]
the marks obtained by polly and sandy are in the ratio 3 : 5 and those obtained by sandy and willy are in the ratio of 3 : 2. the marks obtained by polly and willy are in the ratio of...?
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[Assistant] 9 : 10

[User]
if the largest 3 digit number is subtracted from the smallest 5 digit number, then the remainder is
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[Assistant] 9001

[User]
x and y started a business investing rs. 50000 and rs 40000 respectively. in what ratio the profit earned after 2 years be divided between x and y respectively?
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[Assistant] 5 : 4

[User]
a man can row downstream at 26 kmph and upstream at 10 kmph. find the speed of the man in still water and the speed of stream respectively?
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[Assistant] 18, 8

[User]
if log 1087.5 = 3.9421, then the number of digits in ( 875 ) 10 is?
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[Assistant] 50


[User]
a man has some hens and cows. if the number of heads be 46 and the number of feet equals 136, then the number of hens will be
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[Assistant] 24

[User]
find the smallest number which when divided by 13 and 17 leaves respective remainders of 3 and 7.
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[Assistant] 211

[User]
a's speed is 20 / 13 times that of b. if a and b run a race, what part of the length of the race should a give b as a head start, so that b beats a by 25 % of the length of the race?
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[Assistant] 61 %

[User]
find the constant k so that : - x 2 - ( k + 11 ) x - 8 = - ( x - 2 ) ( x - 4 )
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[Assistant] 17

[User]
what is the maximum number of pieces of birthday cake of size 10 ” by 10 ” that can be cut from a cake 20 ” by 20 ”?
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[Assistant] 4


[User]
if the sides of a triangle are 65 cm, 60 cm and 25 cm, what is its area?
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[Assistant] 750 cm 2

[User]
a man walking at a rate of 15 km / hr crosses a bridge in 30 minutes. the length of the bridge is?
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[Assistant] 1500 m

[User]
the population of a city increases by 7 % per year but due to migration it decrease by 1 % per years. what will be the percentage increase in population in 3 years?
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[Assistant] 9.10 %

[User]
at a restaurant, glasses are stored in two different - sized boxes. one box contains 12 glasses, and the other contains 16 glasses. if the average number of glasses per box is 15, and there are 16 more of the larger boxes, what is the total number of glasses r at the restaurant? ( assume that all boxes are filled to capacity. )
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[Assistant] r = 480

[User]
a factory has three types of machines, each of which works at its own constant rate. if 7 machine as and 11 machine bs can produce 360 widgets per hour, and if 8 machine as and 22 machine cs can produce 600 widgets per hour, how many widgets could one machine a, one machine b, and one machine c produce in one 8 - hour day?
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[Assistant] 480


[User]
on increasing the number of lines in a page by 60, they become 240. what is the % of increase in the no. of lines in the page?
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[Assistant] 33.3 %

[User]
if ( 2 ^ 14 ) ( 25 ^ s ) = 5 ( 10 ^ m ) what is the value of m?
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[Assistant] 14

[User]
in a box carrying one dozen of oranges, one - third have become bad. if 3 oranges are taken out from the box at random, what is the probability that at least one orange out of the 3 oranges picked up is good?
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[Assistant] 54 ⁄ 55

[User]
a goods train runs at the speed of 72 km / hr and crosses a 220 m long platform in 26 sec. what is the length of the goods train?
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[Assistant] 300

[User]
a and b are two partially filled buckets of water. if 5 liters are transferred from a to b, then a would contain one - third of the amount of water in b. alternatively, if 3 liters are transferred from b to a, b would contain one - half of the amount of water in a. bucket a contains how many liters of water?
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[Assistant] 49 / 5


[User]
two kinds of vodka are mixed in the ratio 1 : 2 and 2 : 1 and they are sold fetching the profit 10 % and 35 % respectively. if the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4 / 3 and 5 / 3 times respectively, then the mixture will fetch the profit of
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[Assistant] 35 %

[User]
of 60 children, 30 are happy, 10 are sad, and 20 are neither happy nor sad. there are 18 boys and 42 girls. if there are 6 happy boys and 4 sad girls, how many boys are neither happy nor sad?
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[Assistant] 6

[User]
the sum of all the integers k such that − 26 < k < 24 is
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[Assistant] − 49

[User]
evaluate 75 /. 05
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[Assistant] 1500

[User]
225 metres long yard, 26 trees are palnted at equal distances, one tree being at each end of the yard. what is the distance between 2 consecutive trees
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[Assistant] 10


[User]
car a runs at the speed of 60 km / hr and reaches its destination in 8 hours. car b runs at the speed of 70 km / h and reaches its destination in 4 hours. what is the ratio of distances covered by car a and car b?
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[Assistant] 12 : 7

[User]
if an object travels at five feet per second, how many feet does it travel in one hour?
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[Assistant] 1800

[User]
a house wife saved $ 4 in buying an item on sale. if she spent $ 29 for the item, approximately how much percent she saved in the transaction?
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[Assistant] 12 %

[User]
tough and tricky questions : exponents. if 2 ^ ( 3 x + 2 ) * 3 ^ ( 2 y - 3 ) = 32 ^ x * 9 ^ y, then x + y =
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[Assistant] - 2

[User]
what is the units digit of ( 147 ^ 25 ) ^ 49?
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[Assistant] 7


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

[User]
in one hour, a boat goes 11 km along the stream and 3 km against the stream. the sped of the boat in still water ( in km / hr ) is :
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[Assistant] 7

[User]
if a + b = − 6, and a = 10 / b, what is the value of a ^ 2 + b ^ 2?
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[Assistant] 16

[User]
a professional basketball player just signed a contract that has a 10 % raise in base salary from last year to this year. the contract also has provisions for a performance bonus of up to $ 10000. if he earns the maximum performance bonus, his new effective salary will be a 10.5 % raise over last year's total salary, when he received no performance bonus. assuming he earns the full performance bonus, what will be his new salary?
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[Assistant] 2210000

[User]
how long does a train 110 m long running at the speed of 72 km / hr takes to cross a bridge 175 m length?
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[Assistant] 14.25 sec


[User]
find the length of the wire required to go 15 times round a square field containing 69696 m 2.
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[Assistant] 15840

[User]
5 n + 2 > 17 and 7 n - 5 < 44 ; n must be between which numbers?
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[Assistant] 3 and 7

[User]
find the average of first 6 multiples of 5?
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[Assistant] 17.5

[User]
the length of the bridge, which a train 170 metres long and travelling at 45 km / hr can cross in 30 seconds, is?
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[Assistant] 205

[User]
a retail appliance store priced a video recorder at 20 percent above the wholesale cost of $ 200. if a store employee applied the 5 percent employee discount to the retail price to buy the recorder, how much did the employee pay for the recorder?
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[Assistant] $ 228


[User]
if a # b = ab – b + b ^ 2, then 3 # 6 =
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[Assistant] 48

[User]
a man engaged a servant on a condition that he'll pay rs 90 and also give him a bag at the end of the yr. he served for 9 months and was given a turban and rs 65. so the price of turban is
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[Assistant] rs 10

[User]
if w is the set of all the integers between 29 and 99, inclusive, that are either multiples of 3 or multiples of 2 or multiples of both, then w contains how many numbers?
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[Assistant] 47

[User]
for a certain exam, a score of 86 was 7 standard deviations below mean and a score of 90 was 3 standard deviations above mean. what was the mean score for the exam?
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[Assistant] 88.8

[User]
the area of a square is equal to three times the area of a rectangle of dimensions 49 cm * 27 cm. what is the perimeter of the square?
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[Assistant] 252 cm


[User]
in a division, a student took 72 as divisor instead of 36. his answer was 24. the correct answer is -
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[Assistant] 48

[User]
a scientist used a unique two - color code to identify each of the test subjects involved in a certain study. if the scientist found that choosing from among 5 colors produced enough color codes to identify all but 6 of the test subjects, how many test subjects were in the study? ( assume that the order of the colors in the codes does not matter. )
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[Assistant] 16

[User]
enrollment in city college in 1980 was 85 / 3 percent of enrollment in 1990. what was the percent increase in the college ’ s enrollment from 1980 to 1990?
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[Assistant] 253 %

[User]
there were two candidates in an election. winner candidate received 54 % of votes and won the election by 288 votes. find the number of votes casted to the winning candidate?
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[Assistant] 1944

[User]
a person bought 115 glass bowls at a rate of rs. 18 per bowl. he sold 104 of them at rs. 20 and the remaining broke. what is the percentage gain for a?
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[Assistant] 100 / 207


[User]
lisa and robert have taken the same number of photos on their school trip. lisa has taken 3 times as many photos as claire and robert has taken 10 more photos than claire. how many photos has claire taken?
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[Assistant] 5

[User]
how many even multiples of 45 are there between 449 and 901?
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[Assistant] 6

[User]
19 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] 342

[User]
rs. 585 is divided amongst a, b, c so that 4 times a's share, 6 times b's share and 3 times c's share are all equal. find c's share?
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[Assistant] 260

[User]
in 10 years, a will be twice as old as b was 10 years ago. if a is now 8 years older than b the present age of b is
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[Assistant] 38


[User]
a certain country had a total annual expenditure of $ 1.2 x 10 ^ 11 last year. if the population of the country was 240 million last year, what was the per capita expenditure?
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[Assistant] $ 500

[User]
two students appeared at an examination. one of them secured 9 marks more than the other and his marks was 56 % of the sum of their marks. the marks obtained by them are :
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[Assistant] 42,33

[User]
aaron will jog from home at 4 miles per hour and then walk back home by the same route at 8 miles per hour. how many miles from home can aaron jog so that he spends a total of 3 hours jogging and walking?
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[Assistant] 8

[User]
if x is the product of the positive integers from 1 to 8, inclusive, and if i, k, m, and p are positive integers such that x = 2 ^ i ∗ 3 ^ k ∗ 5 ^ m ∗ 7 ^ p, then i + k + m + p =
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[Assistant] 11

[User]
in right triangle abc, ac is the hypotenuse. if ac is 10 and ab + bc = 20, what is the area of the triangle abc?
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[Assistant] 75


[User]
there are two groups of students in the sixth grade. there are 20 students in group a, and 80 students in group b. if, on a particular day, 20 % of the students in group a forget their homework, and 15 % of the students in group b forget their homework, then what percentage of the sixth graders forgot their homework?
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[Assistant] 16 %

[User]
the average of 6 quantities is 8. the average of 4 of them is 5. what is the avg. of the remaining 2 numbers?
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[Assistant] 14

[User]
suresh started a business, investing rs. 18000. after 3 months and 4 months respectively, rohan and sudhir joined him with capitals of 12000 and 9000. at the end of the year the total profit was rs. 4048. what is the difference between rohan ’ s and sudhir ’ s share in the profit?
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[Assistant] s. 368

[User]
a man has rs. 10350 in the form of rs. 50 notes and rs. 500 notes. the total number of notes are 90. find the number of notes of rs. 50 denomination.
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[Assistant] 77

[User]
during 2003, a company produced an average of 4,000 products per month. how many products will the company need to produce from 2004 through 2007 in order to increase its monthly average for the period from 2003 through 2007 by 150 % over its 2003 average?
Answer the question using a single word or phrase.

[Assistant] 432,000


[User]
the average age of an adult class is 40 years. 12 new students with an avg age of 32 years join the class. thereforedecreasing the average by 4 year. find what was theoriginal strength of class?
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[Assistant] 12

[User]
the distance from the x - axis to point p is half the distance from the y - axis to point p. if the coordinates of p are ( x, - 5 ), how many units is p from the y - axis?
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[Assistant] 10

[User]
two numbers are respectively 20 % and 60 % more than a third number. the percentage that is first of the second is?
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[Assistant] 75 %

[User]
we bought a total of 90 books at the store. math books cost $ 4 and history books cost $ 5. the total price was $ 397. how many math books did we buy?
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[Assistant] 53

[User]
two employees a and b are paid a total of rs. 580 per week by their employer. if a is paid 150 percent of the sum paid to b, how much is b paid per week?
Answer the question using a single word or phrase.

[Assistant] s. 232


[User]
at a certain committee meeting only associate professors and assistant professors are present. each associate professor has brought 2 pencils and 1 chart to the meeting, while each assistant professor has brought 1 pencil and 2 charts. if a total of 7 pencils and 11 charts have been brought to the meeting, how many people are present?
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[Assistant] 6

[User]
the difference between the value of a number increased by 12.5 % and the value of the original number decreased by 25 % is 30. what is the original number r?
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[Assistant] 80

[User]
the average height of 35 boys in a class was calculated as 182 cm. it has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. find the actual average height of the boys in the class ( round off your answer to two decimal places ).?
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[Assistant] 180.29 cm

[User]
the salaries of a and b together amount to $ 3000. a spends 95 % of his salary and b, 85 % of his. if now, their savings are the same, what is a's salary?
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[Assistant] $ 2250

[User]
a train 120 m long crosses a platform 220 m long in 20 sec ; find the speed of the train?
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[Assistant] 61 kmph


[User]
for all positive integers m and v, the expression m θ v represents the remainder when m is divided by v. what is the value of ( ( 88 θ 33 ) θ 17 ) - ( 90 θ ( 33 θ 17 ) )?
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[Assistant] 3

[User]
if solomon distributes his toys in the ratio of 1 / 4 : 1 / 6 : 1 / 10 : 1 / 9 between his 4 friends a, b, c and d, then find the total number of toys solomon should have?
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[Assistant] 118.7

[User]
the area of a circular field is 13.86 hectares. find the cost of fencing it at the rate of rs. 4.40 per metre.
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[Assistant] 5808

[User]
an article is bought for rs. 675 and sold for rs. 1000, find the gain percent?
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[Assistant] 48 %

[User]
a 13 % stock yields 8 %. the market value of the stock is :
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[Assistant] rs. 162.50


[User]
from a container, 6 liters milk was drawn out and was replaced by water. again 6 liters of mixture was drawn out and was replaced by the water. thus the quantity of milk and water in the container after these two operations is 9 : 16. the quantity of mixture is :
Answer the question using a single word or phrase.

[Assistant] 15

[User]
a train travels from new york to chicago, a distance of approximately 480 miles, at an average rate of 60 miles per hour and arrives in chicago at 5 : 00 in evening, chicago time. at what hour in the morning, new york time, did the train depart for chicago? ( note : chicago time is one hour earlier than new york time )
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[Assistant] 10 : 00

[User]
the speed of a subway train is represented by the equation z = s ^ 2 + 2 s for all situations where 0 ≤ s ≤ 7, where z is the rate of speed in kilometers per hour and s is the time in seconds from the moment the train starts moving. in kilometers per hour, how much faster is the subway train moving after 7 seconds than it was moving after 2 seconds?
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[Assistant] 55

[User]
the diagonals of a rhombus are 11 cm and 16 cm. find its area?
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[Assistant] 88

[User]
in 1950, richard was 4 times as old as robert. in 1955, richard was 3 times as old as robert. in which year was richard 1.6 times as old as robert?
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[Assistant] 1990


[User]
a room is 8 meters 16 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] 153

[User]
there are 8 executives, including the ceo and cfo, that are asked to form a small team of 5 members. however, the ceo and cfo may not both be assigned to the team. given this constraint, how many ways are there to form the team?
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[Assistant] 36

[User]
victor gets 92 % marks in examinations. if these are 460 marks, find the maximum marks.
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[Assistant] 500

[User]
max planned to buy bike, sales man advised him to buy within this month, if he purchase next month means state tax will be increasing 10 % than its cost and it would be 82500. what is the bike's selling price in this month
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[Assistant] 75000

[User]
a boy goes to his school from his house at a speed of 3 km / hr and returns at a speed of 2 km / hr. if he takes 5 hours in going and coming. the distance between his house and school is?
Answer the question using a single word or phrase.

[Assistant] 6


[User]
in a 500 m race, ravi beats ramesh by 5 seconds or 100 m. they decide to run another race and this time ravi gives ramesh a head tart of 200 m. if ravi ’ s speed is twice his previous speed and ramesh ’ s speed is one and half times his previous speed, how far from the starting point should the winning post be so that they finish at the same time?
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[Assistant] 500 m

[User]
a store owner estimates that the average price of type a products will increase by 25 % next year and that the price of type b products will increase by 10 % next year. this year, the total amount paid for type a products was $ 4500 and the total price paid for type b products was $ 8300. according to the store owner's estimate, and assuming the number of products purchased next year remains the same as that of this year, how much will be spent for both products next year?
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[Assistant] $ 14,755

[User]
two isosceles triangles have equal vertical angles and their areas are in the ratio 25 : 49. find the ratio of their corresponding heights.
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[Assistant] 5 / 7

[User]
a, b and c rent a pasture. if a puts 10 oxen for 7 months, b puts 12 oxen for 5 months and c puts 15 oxen for 3 months for grazing and the rent of the pasture is rs. 280, then how much amount should c pay as his share of rent?
Answer the question using a single word or phrase.

[Assistant] 72

[User]
exactly 30 % of the reporters for a certain wire service cover local politics in country x. if 25 % of the reporters who cover politics for the wire service do not cover local politics in country x, what percent of the reporters for the wire service do not cover politics?
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[Assistant] 60 %


[User]
positive integer y is 50 percent of 50 percent of positive integer x, and y percent of x equals 16. what is the value of x?
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[Assistant] 80

[User]
excluding stoppages, the speed of a train is 48 kmph and including stoppages it is 36 kmph. of how many minutes does the train stop per hour?
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[Assistant] 15

[User]
difference between the length & breadth of a rectangle is 26 m. if its perimeter is 208 m, then the ratio of area and perimeter is?? we have : ( l - b ) = 26 and 2 ( l + b ) = 208 or ( l + b ) = 104?
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[Assistant] 315 : 26

[User]
everyone shakes hands with everyone else in a room. total number of handshakes is 105. number of persons =?
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[Assistant] 15

[User]
the price of a t. v. set worth rs. 12000 is to be paid in 20 installments of rs. 1200 each. if the rate of interest be 6 % per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be?
Answer the question using a single word or phrase.

[Assistant] 10800


[User]
two trains of length 140 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. in what time will they be clear of each other from the moment they meet?
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[Assistant] 21

[User]
the tax on a commodity is diminished by 28 % but its consumption is increased by 12 %. find the decrease percent in the revenue derived from it?
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[Assistant] 19 %

[User]
two mechanics were working on your car. one can complete the given job in 5 hours, but the new guy takes eight hours. they worked together for the first two hours, but then the first guy left to help another mechanic on a different job. how long will it take the new guy to finish your car?
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[Assistant] 14 / 5

[User]
how many multiples of 4 are there between 20 and 196?
Answer the question using a single word or phrase.

[Assistant] 43

[User]
a group of men decided to do a work in 6 days, but 4 of them became absent. if the rest of the group did the work in 12 days, find the original number of men?
Answer the question using a single word or phrase.

[Assistant] 8


[User]
after 4 games, team b had an average of 61.5 points per game. if it got only 47 points in game 5, how many more points does it need to score to get its total above 500?
Answer the question using a single word or phrase.

[Assistant] 207

[User]
what is the square root of 151,321?
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[Assistant] 389

[User]
the jogging track in a sports complex is 726 m in circumference. deepak and his wife start from the same point and walk in opposite directions at 4.5 km / hr and 3.75 km / hr respectively. they will meet for the first time in?
Answer the question using a single word or phrase.

[Assistant] 5.28 min

[User]
two trains running in opposite directions cross a man standing on the platform in 35 seconds and 28 seconds respectively and they cross each other in 32 seconds. the ratio of their speeds is :
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[Assistant] 4 : 3

[User]
40 % of a number is added to 120, the result is the same number. find the number?
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[Assistant] 200


[User]
16.02 ã — 0.01 =?
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[Assistant] 0.1602

[User]
a, b, c and d enter into partnership. a subscribes 1 / 3 of the capital b 1 / 4, c 1 / 5 and d the rest. how much share did a get in a profit of rs. 2415?
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[Assistant] s. 805

[User]
2 students appeared at an examination. 1 of them secured 9 marks more than the other one and hismarks was 56 % of the sum of their marks. find the marks obtained by them are?
Answer the question using a single word or phrase.

[Assistant] 42 and 33

[User]
a certain company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales were up 7 percent from 1996. if total revenues from car sales and truck sales in 1997 were up 1 percent from 1996, what is the ratio of revenue from car sales in 1996 to revenue from truck sales in 1996?
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[Assistant] 1 : 2

[User]
what is the hcf of 2 / 3, 4 / 9 and 6 / 5
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[Assistant] 2 / 45


[User]
3 pumps, working 8 hours a day, can empty a tank in 2 days. how many hours a day must 8 pumps work to empty the tank in 1 day?
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[Assistant] 6

[User]
a, b and c can do a piece of work in 4 days, 6 days and 8 days respectively. how long will they taken, if all the three work together?
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[Assistant] 1 11 / 13

[User]
a student has to obtain 45 % of the total marks to pass. he got 150 marks and failed by 30 marks. the maximum marks are?
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[Assistant] 400

[User]
the units digit of ( 35 ) ^ ( 87 ) + ( 93 ) ^ ( 46 ) is :
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[Assistant] 4

[User]
a survey of employers found that during 1993 employment costs rose 3.5 percent, where employment costs consist of salary costs and fringe - benefit costs. if salary costs rose 3 percent and fringe - benefit costs rose 5.5 percent during 1993, then fringe - benefit costs represented what percent of employment costs at the beginning of 1993?
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[Assistant] 20 %


[User]
if f ( x ) = 2 x ^ 2 + y, and f ( 2 ) = 30, what is the value of f ( 10 )?
Answer the question using a single word or phrase.

[Assistant] 222

[User]
if a certain coin is flipped, the probability that the coin will land heads is 1 / 2. if the coin is flipped 5 times, what is the probability that it will land heads up on the first 2 flips but not on the last 3 flips?
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[Assistant] 1 / 32

[User]
by weight, liquid x makes up 0.5 percent of solution p and 1.5 percent of solution q. if 200 grams of solution p are mixed with 800 grams of solution q, then liquid x accounts for what percent of the weight of the resulting solution?
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[Assistant] 1.3 %

[User]
there 3 kinds of books in the library physics, chemistry and biology. ratio of physics to chemistry is 3 to 2 ; ratio of chemistry to biology is 4 to 3, and the total of the books is more than 3000. which one of following can be the total q of the book?
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[Assistant] 3003

[User]
the difference between the place values of 6 and 1 in the number 527631 is
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[Assistant] 599


[User]
find the value of ( 85 + 32 / 113 ) × 113
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[Assistant] 9637

[User]
you collect baseball cards. suppose you start out with 19. maria takes half of one more than the number of baseball cards you have. since you're nice, you give peter 1 baseball card. since his father makes baseball cards, paul decides to triple your baseball cards. how many baseball cards do you have at the end?
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[Assistant] 24

[User]
in township k, 1 / 5 of the housing units are equiped with cable tv. if 1 / 12 of the housing units, including 1 / 3 of those that are equiped with cable tv, are equipped with videocassette recorders, what fraction of the housing units have neither cable tv nor videocassette recorders?
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[Assistant] 47 / 60

[User]
the average salary of all the workers in a workshop is rs. 8000. the average salary of 7 technicians is rs. 20000 and the average salary of the rest is rs. 6000. the total number of workers in the workshop is :
Answer the question using a single word or phrase.

[Assistant] 49

[User]
the two lines y = x and x = - 4 intersect on the coordinate plane. if z represents the area of the figure formed by the intersecting lines and the x - axis, what is the side length t of a cube whose surface area is equal to 6 z?
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[Assistant] t = 2 √ 2


[User]
find the value of x from the below equation? : 3 x ^ 2 + 5 x + 2 = 0
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[Assistant] - 1

[User]
the h. c. f of two numbers is 23 and the other two factors of their l. c. m are 12 and 13. the larger of the two numbers is :
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[Assistant] 299

[User]
in 70 liters of a mixture of milk and water, the quantity of water is 10 %. how much water should be added so that new mixture may 25 % water.
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[Assistant] 14

[User]
an athlete runs 150 metres race in 24 seconds. what is his speed?
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[Assistant] 27

[User]
a can contains a mixture of liquids a and b is the ratio 7 : 5. when 15 litres of mixture are drawn off and the can is filled with b, the ratio of a and b becomes 7 : 9. how many liter of liquid a was contained by the can initially?
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[Assistant] 35


[User]
find the smallest number that must be added to 1780 to make it a perfect square.
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[Assistant] 69

[User]
two trains, one from howrah to patna and the other from patna to howrah, start simultaneously. after they meet, the trains reach their destinations after 9 hours and 25 hours respectively. the ratio of their speeds is?
Answer the question using a single word or phrase.

[Assistant] 5 : 3

[User]
a newspaper manufacturer produces 800 units of a certain model each month at a cost to the manufacturer of £ 50 per unit and all of the produced units are sold each month. what is the minimum selling price per unit that will ensure that the monthly profit ( revenue from sales minus production costs ) on the sales of these units will be at least £ 80000?
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[Assistant] 750

[User]
p and q started a business investing rs. 85,000 and rs. 20,000 respectively. in what ratio the profit earned after 2 years be divided between p and q respectively?
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[Assistant] 17 : 4

[User]
x does a work in 10 days. y does the same work in 15 days. in how many days they together will do the same work?
Answer the question using a single word or phrase.

[Assistant] 6


[User]
a rectangular lawn of length 200 m by 120 m has two roads running along its center, one along the length and the other along the width. if the width of the roads is 5 m what is the area y covered by the two roads?
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[Assistant] 1575

[User]
which expression has the greatest value?
Answer the question using a single word or phrase.

[Assistant] 1982487 / 1982490

[User]
a train 108 m long moving at a speed of 50 kmph crosses a train 112 m long coming from opp direction in 6 seconds. the speed of the second train is
Answer the question using a single word or phrase.

[Assistant] 82 kmph

[User]
what is the greatest prime factor of 4 ^ 17 - 2 ^ 29?
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[Assistant] 31

[User]
jo's collection contains us, indian and british stamps. if the ratio of us to indian stamps is 5 to 2 and the ratio of indian to british stamps is 4 to 1, what is the ratio of us to british stamps?
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[Assistant] 20 : 2


[User]
by investing in 16 % stock at 64, one earns rs. 1500. the investment made is?
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[Assistant] 5760

[User]
a student, after his teacher's question, chose a number, multiplied it by 2, then subtracted 138 from the result and got 102. what was the number he chose?
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[Assistant] 120

[User]
what is the sum of the greatest common factor and the lowest common multiple of 36 and 16?
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[Assistant] 148

[User]
lisa and robert have taken the same number of photos on their school trip. lisa has taken 3 times as many photos as claire and robert has taken 28 more photos than claire. how many photos has claire taken?
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[Assistant] 14

[User]
a fruit seller sells mangoes at the rate of rs. 5 per kg and thereby loses 20 %. at what price per kg, he should have sold them to make a profit of 5 %
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[Assistant] rs 6.56


[User]
a train covers a distance of 15 km in 10 min. if it takes 6 sec to pass a telegraph post, then the length of the train is?
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[Assistant] m

[User]
when a certain number x is divided by 66, the remainder is 14. what is the remainder when x is divided by 11?
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[Assistant] 3

[User]
a special municipal payroll tax charges not tax on a payroll less than $ 200,000 and only 0.1 % on a company ’ s payroll above $ 200,000. if belfried industries paid $ 400 in this special municipal payroll tax, then they must have had a payroll of?
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[Assistant] $ 600,000

[User]
there are 7 red shoes & 3 green shoes. if two of red shoes are drawn what is the probability of getting red shoes
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[Assistant] 7 / 15

[User]
a can do a piece of work in 8 days. b can do it in 16 days. with the assistance of c they completed the work in 4 days. find in how many days can c alone do it?
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[Assistant] 16 days


[User]
when 1 / 20 % of 4,000 is subtracted from 1 / 20 of 4,000, the difference is
Answer the question using a single word or phrase.

[Assistant] 198

[User]
what percent is 2 minutes 24 seconds of an hour?
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[Assistant] 4 %

[User]
what is the remainder when 43 * 49 is divided by 8?
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[Assistant] 3

[User]
the difference between a number and its two - fifth is 510. what is 60 % of that number?
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[Assistant] 510

[User]
a 40 - liter solution of alcohol and water is 5 percent alcohol. if 5.5 liters of alcohol and 4.5 liters of water are added to this solution, what percent of the solution produced is alcohol?
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[Assistant] 15 %


[User]
in the first round of the elections, the only two candidates got exactly the same number of votes. during the second round, 16000 votes switched from the first candidate to the second one. the total number of votes remained the same in both rounds, and no other votes switched sides. if, in the second round, the winning candidate got 5 times as many votes as the other candidate, how many people have voted in each round?
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[Assistant] 48,000

[User]
in an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. if he attempts all 80 questions and secures 120 marks, how many questions does he answer correctly?
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[Assistant] 40

[User]
after striking the floor, a rubber ball rebounds to 4 / 5 th of the height from which it has fallen. find the total distance that it travels before coming to rest if it has been gently dropped from a height of 120 metres.
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[Assistant] 1080 m

[User]
a sum was put a simple interest at a certain rate for 5 years. had it been put at 2 % higher rate, it would have fetched rs. 250 more. the sum is :
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[Assistant] s. 2500

[User]
what is the largest 4 digit number exactly divisible by 35?
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[Assistant] 9975


[User]
a boat can travel with a speed of 16 km / hr in still water. if the rate of stream is 5 km / hr, then find the time taken by the boat to cover distance of 105 km downstream.
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[Assistant] 5 hours

[User]
the sum of the average ( arithmetic mean ) of the even integers from 0 to 100 inclusive and the average ( arithmetic mean ) of the even integers from 0 to 50 inclusive?
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[Assistant] 75

[User]
when greenville state university decided to move its fine arts collection to a new library, it had to package the collection in 20 - inch by 20 - inch by 12 - inch boxes. if the university pays $ 0.50 for every box, and if the university needs 1.92 million cubic inches to package the collection, what is the minimum amount the university must spend on boxes?
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[Assistant] $ 200

[User]
find the simple interest on rs. 68,800 at 16 2 / 3 % per annum for 9 months.
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[Assistant] s. 8600

[User]
in the list 1, 2, 3, 4, 5, 5, 5, 5, 7, 11, 21, what fraction of the data is less than the mode?
Answer the question using a single word or phrase.

[Assistant] 4 / 11


[User]
a soft drink company had 6000 small and 14000 big bottles in storage. if 20 % of small 23 % of big bottles have been sold, then the total bottles remaining in storage is
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[Assistant] 15720

[User]
express a speed of 72 kmph in meters per second?
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[Assistant] 20 mps

[User]
there are 10 teams in a soccer league and each team plays each of the other teams once. how many games will be played in total?
Answer the question using a single word or phrase.

[Assistant] 45

[User]
if two of the 4 expressions x + y, x + 5 y, x - y, 5 x + y are chosen at random, what is the probability that their product will be of the form of x ^ 2 - ( by ) ^ 2, where b is an integer?
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[Assistant] 1 / 6

[User]
bert left the house with n dollars. he spent 1 / 4 of this at the hardware store, then $ 7 at the dry cleaners, and then half of what was left at the grocery store. when he got home, he had $ 19 left in his pocket. what was the value of n?
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[Assistant] $ 36


[User]
a man swims downstream 48 km and upstream 32 km taking 8 hours each time ; what is the speed of the current?
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[Assistant] 1

[User]
how many seconds will a 100 m long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr?
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[Assistant] 6 sec

[User]
in a colony of 70 residents, the ratio of the number of men and women is 4 : 3. among the women, the ratio of the educated to the uneducated is 1 : 4. if the ratio of the number of educated to uneducated persons is 8 : 27, then find the ratio of the number of educated to uneducated men in the colony?
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[Assistant] 1 : 3

[User]
find large number from below question the difference of two numbers is 1365. on dividing the larger number by the smaller, we get 7 as quotient and the 15 as remainder
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[Assistant] 1590

[User]
alex age after 13 years will be 10 times his age 10 years back. what is the present age of alex?
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[Assistant] 13


[User]
when a person aged 39 is added to a group of n people, the average age increases by 2. when a person aged 15 is added instead, the average age decreases by 1. what is the value of q?
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[Assistant] 7

[User]
how many paying stones, each measuring 2 1 / 2 m * 2 m are required to pave a rectangular court yard 60 m long and 16 1 / 2 m board?
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[Assistant] 198

[User]
the captain of a cricket team of 11 members is 26 years old and the wicket keeper is 7 years older. if the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. what is the average age of the team?
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[Assistant] 25 years

[User]
if 6 ^ k + 6 ^ k = ( 6 ^ 9 ) ^ ( 6 ^ 9 ) - 6 ^ k, then k =?
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[Assistant] 6 ^ 11 - 1

[User]
there are 12 stations between ernakulam and chennai. how many second class tickets have to be printed, so that a passenger can travel from one station to any other station?
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[Assistant] 132


[User]
the ratio of three numbers is 2 : 3 : 5 and their sum is 150. the second number of the three numbers is?
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[Assistant] 45

[User]
a jogger running at 9 km / hr along side a railway track is 180 m ahead of the engine of a 120 m long train running at 45 km / hr in the same direction. in how much time will the train pass the jogger?
Answer the question using a single word or phrase.

[Assistant] 30

[User]
4 mat - weavers can weave 4 mats in 4 days. at the same rate, how many mats would be woven by 6 mat - weavers in 6 days?
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[Assistant] 9

[User]
nitin ranks 12 th in a class of 56 students. what is rank from the last?
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[Assistant] 45

[User]
find the cost of fencing around a circular field of diameter 40 m at the rate of rs. 3 a meter?
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[Assistant] 376.98


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

[User]
if a and b get profits of rs. 5,000 and rs. 2,000 respectively at the end of year then ratio of their investments are
Answer the question using a single word or phrase.

[Assistant] 5 : 2

[User]
someone on a skateboard is traveling 5 miles per hour. how many feet does she travel in 45 seconds? ( 1 mile = 5280 feet )
Answer the question using a single word or phrase.

[Assistant] 329.85 ft

[User]
a computer manufacturer produces a certain electronic component at a cost of $ 70 per component. shipping costs for delivering the components are $ 4 per unit. further, the manufacturer has costs of $ 14,500 a month related to the electronic component regardless of how many it produces. if the manufacturer produces and sells 250 components a month, what is the lowest price it can sell them for such that the costs do n't exceed the revenues?
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[Assistant] 132

[User]
two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 20 seconds. the ratio of their speeds is?
Answer the question using a single word or phrase.

[Assistant] 3 / 7


[User]
a bucket contains 2 mixtures a and b in the ratio 7 : 5. if 9 liters of the mixture is replaced by 9 liters of liquid b, then the ratio of the two liquids becomes 7 : 9. how much of the liquid a was there in the bucket?
Answer the question using a single word or phrase.

[Assistant] 21 liters

[User]
jane makes toy bears. when she works with an assistant, she makes 53 percent more bears per week and works 10 percent fewer hours each week. having an assistant increases jane ’ s output of toy bears per hour by what percent?
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[Assistant] 70 %

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

[Assistant] 20

[User]
if 60 % of 3 / 5 of a number is 72, then the number is?
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[Assistant] none of these

[User]
the cost to park a car in a certain parking garage is $ 12.00 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] $ 2.69


[User]
in a certain large company, the ratio of college graduates with a graduate degree to non - college graduates is 1 : 8, and ratio of college graduates without a graduate degree to non - college graduates is 2 : 3. if one picks a random college graduate at this large company, what is the probability t this college graduate has a graduate degree?
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[Assistant] 3 / 19

[User]
walking with 4 / 5 of my usual speed, i arrive at the bus stop 6 minutes later than normal. how many minutes does it take to walk to the bus stop at my usual speed?
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[Assistant] 24 min

[User]
with both valves open, the pool will be filled with water in 48 minutes. the first valve alone would fill the pool in 2 hours. if the second valve emits 50 cubic meters of water more than the first every minute, then what is the capacity t of the pool?
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[Assistant] 12000 cubic meters

[User]
convert 500 miles to km?
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[Assistant] 800 km

[User]
audrey 4 hours to complete a certain job. ferris can do the same job in 3 hours. audrey and ferris decided to collaborate on the job, working at their respective rates. while audrey worked continuously, ferris took 4 breaks of equal length. if the two completed the job together in 2 hours, how many minutes long was each of ferris ’ breaks?
Answer the question using a single word or phrase.

[Assistant] 7


[User]
convert the 9 / 36 m / s into kilometers per hour?
Answer the question using a single word or phrase.

[Assistant] 0.9 kmph

[User]
in what time will a train 120 m long cross an electric pole, it its speed be 160 km / hr?
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[Assistant] 2.7 sec

[User]
all the faces of cubes are painted with red colour. it is then cut into 64 equal small cubes. find how many small cubes are there whose two adjacent faces are coloured red?
Answer the question using a single word or phrase.

[Assistant] 24

[User]
a 300 metre long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. what is the length of the platform?
Answer the question using a single word or phrase.

[Assistant] 350 m

[User]
marketing executives for a certain chewing gum company projected a 30 percent increase in revenue this year over that of last year, but revenue this year actually decreased by 25 %. what percent of the projected revenue was the actual revenue?
Answer the question using a single word or phrase.

[Assistant] 57.7 %


[User]
a train 360 m long runs with a speed of 45 km / hr. what time will it take to pass a platform of 190 m long?
Answer the question using a single word or phrase.

[Assistant] 44 sec

[User]
find large number from below question the difference of two numbers is 2500. on dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
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[Assistant] 2997

[User]
248 : 3 : : 328 :?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
which number should replace both the asterisks in ( * / 18 ) x ( * / 72 ) = 1?
Answer the question using a single word or phrase.

[Assistant] 36

[User]
the triplicate ratio of 1 : 5 is?
Answer the question using a single word or phrase.

[Assistant] 1 : 125


[User]
in a 500 m race, the ratio of the speeds of two contestants a and b is 3 : 4. a has a start of 200 m. then, a wins by :
Answer the question using a single word or phrase.

[Assistant] 100 m

[User]
a certain shade of gray paint is obtained by mixing 3 parts of white paint with 5 parts of black paint. if 2 gallons of the mixture is needed and the individual colors can be purchased only in one gallon or half gallon cans, what is the least amount q of paint, in gallons, that must be purchased in order to measure out the portions needed for the mixture?
Answer the question using a single word or phrase.

[Assistant] 2 1 / 2

[User]
a and b are two multiples of 14, and q is the set of consecutive integers between a and b, inclusive. if q contains 9 multiples of 14, how many multiples of 7 are there in q?
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[Assistant] 17

[User]
express a speed of 66 kmph in meters per second?
Answer the question using a single word or phrase.

[Assistant] 18.33 mps

[User]
a man buys a cycle for rs. 1600 and sells it at a loss of 15 %. what is the selling price of the cycle?
Answer the question using a single word or phrase.

[Assistant] s. 1360


[User]
the parameter of a square is equal to the perimeter of a rectangle of length 8 cm and breadth 6 cm. find the circumference of a semicircle whose diameter is equal to the side of the square.
Answer the question using a single word or phrase.

[Assistant] 11.0

[User]
a tempo is insured to an extent of 5 / 7 of its original value. if the premium on it at the rate of 3 % amounts to $ 300, the original value of the tempo is?
Answer the question using a single word or phrase.

[Assistant] 14000

[User]
last year department store x had a sales total for december that was 3 times the average ( arithmetic mean ) of the monthly sales totals for january through november. the sales total for december was what fraction of the sales total for the year?
Answer the question using a single word or phrase.

[Assistant] 3 / 14

[User]
if a - b = 3 and a ^ 2 + b ^ 2 = 29, find the value of ab
Answer the question using a single word or phrase.

[Assistant] 10

[User]
the ratio of the cost price and selling price is 4 : 5. the profit percent is?
Answer the question using a single word or phrase.

[Assistant] 25 %


[User]
farm tax is levied on the 50 % of the cultivated land. the tax department collected total $ 3840 through the farm tax from the village of mr. willam. mr. willam paid only $ 480 as farm tax. the percentage of total land of mr. willam over the total taxable land of the village is :
Answer the question using a single word or phrase.

[Assistant] 25 %

[User]
the difference between the local value and the face value of 7 in the numeral 32675149 is
Answer the question using a single word or phrase.

[Assistant] 69993

[User]
how many even 4 - digit numbers can be formed, so that the numbers are divisible by 4 and no two digits are repeated?
Answer the question using a single word or phrase.

[Assistant] 1120

[User]
317 x 317 + 283 x 283 =?
Answer the question using a single word or phrase.

[Assistant] 180578

[User]
two trains are running in opposite directions in the same speed. the length of each train is 120 meter. if they cross each other in 36 seconds, the speed of each train ( in km / hr ) is
Answer the question using a single word or phrase.

[Assistant] 12


[User]
there are 97 lights which are functional and each is controlled by a separate on / off switch. two children a and b start playing with the switches. a starts by pressing every third switch till he reaches the end. b, thereafter, presses every fifth switch till he too reaches the end. if all switches were in off position at the beggining, how many lights are switched on by the end of this operation?
Answer the question using a single word or phrase.

[Assistant] 39

[User]
the product of two consecutive odd no is - 1, then what is the value of the sum of them.
Answer the question using a single word or phrase.

[Assistant] 0

[User]
to fill a tank, 10 buckets of water is required. how many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two - fifth of its present?
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[Assistant] 25

[User]
if 30 oxen can plough 1 / 7 th of a field in 2 days, how many days 18 oxen will take to do the remaining work?
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[Assistant] 20 days

[User]
how many two - element subsets of { 6,7, 8,9 } are there that do not contain the pair of elements 8 and 9?
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[Assistant] 5


[User]
30 men can do a work in 40 days. when should 15 men leave the work so that the entire work is completed in 40 days after they leave the work?
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[Assistant] 15 days

[User]
a car averages 70 mph for the first 4 hours of a trip and averages 60 mph for each additional hour. the average speed for the entire trip was 65 mph. how many hours long is the trip?
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[Assistant] 8

[User]
the speed of the boat in still water in 12 kmph. it can travel downstream through 39 kms in 3 hrs. in what time would it cover the same distance upstream?
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[Assistant] 3.5 hours

[User]
if n = 7 ^ 11 – 7, what is the units digit of n?
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[Assistant] 6

[User]
in a fuel station the service costs $ 1.75 per car, every liter of fuel costs 0.65 $. assuming that a company owns 14 cars and that every fuel tank contains 55 liters and they are all empty, how much money total will it cost to fuel all cars?
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[Assistant] 525 $


[User]
in a new housing development, trees are to be planted along the sidewalk of a certain street. each tree takes up one square foot of sidewalk space, and there are to be 14 feet between each tree. how many trees can be planted if the road is 151 feet long?
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[Assistant] 11

[User]
the maitre'd at an expensive manhattan restaurant has noticed that 60 % of the couples order dessert and coffee. however, 20 % of the couples who order dessert do n't order coffee. what is the probability q that the next couple the maitre'd seats will not order dessert?
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[Assistant] 25 %

[User]
the product of two numbers is 120 and the sum of their squares is 289. the sum of the number is :
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[Assistant] 23

[User]
when tom works alone he chops 2 lb. salad in 3 minutes, and when tammy works alone she chops 3 lb. salad in 2 minutes. they start working together, and after some time finish chopping 65 lb. of salad. of those 80 lb., the salad quantity chopped by tammy is what percent greater than the quantifying chopped by tom?.
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[Assistant] 125 %

[User]
the population of a town is 8000. it decreases annually at the rate of 10 % p. a. what will be its population after 3 years?
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[Assistant] 5832


[User]
a reduction of 30 % in the price of salt enables a lady to obtain 10 kgs more for rs. 100, find the original price per kg?
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[Assistant] 4.3

[User]
what is the sum of all the even numbers between 31 and 99, inclusive?
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[Assistant] 2,180

[User]
a certain farmer pays $ 30 per acre per month to rent farmland. how much does the farmer pay per month to rent a rectangular plot of farmland that is 1080 feet by 605 feet? ( 43,560 square feet = 1 acre )
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[Assistant] $ 450

[User]
according to the formula f = 9 / 5 ( c ) + 32, if the temperature in degrees farenheit ( f ) increases by 25, by how much does the temperature in degrees celsius ( c ) increase?
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[Assistant] 13.88

[User]
kamal obtained 76, 60, 72, 65 and 82 marks ( out of 100 ) in english, mathematics, physics, chemistry and biology. what are his average marks?
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[Assistant] 71


[User]
a person buys an article at rs. 550. at what price should he sell the article so as to make a profit of 30 %?
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[Assistant] 715

[User]
an article with cost price of 280 is sold at 30 % profit. what is the selling price?
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[Assistant] 364

[User]
john can type a set of pages in 5 hours at a constant rate. if john types for 3 hours and jack does the rest of the job, who works at 2 / 5 constant rate of john. how long will it take for jack alone to do the rest of the job?
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[Assistant] 5 hrs

[User]
a trader mixes 80 kg of tea at 15 per kg with 20 kg of tea at cost price of 20 per kg. in order to earn a profit of 30 %, what should be the sale price of the mixed tea?
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[Assistant] 20.8

[User]
two persons a and b can complete a piece of work in 15 days and 30 days respectively. if they work together, what part of the work will be completed in 5 days?
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[Assistant] 1 / 2


[User]
the temperature of a certain cup of coffee 10 minutes after it was poured was 120 degrees fahrenheit. if the temperature f of the coffee t minutes after it was poured can be determined by the formula f = 120 ( 2 ^ - at ) + 60, where f is in degrees fahrenheit and a is a constant. then the temperature of the coffee 50 minutes after it was poured was how many degrees fahrenheit?
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[Assistant] 63.75

[User]
water boils at 212 ° f or 100 ° c and ice melts at 32 ° f or 0 ° c. if the temperature of a pot of water is 40 ° c, what is the temperature of the pot of water in ° f?
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[Assistant] 104 ° f

[User]
the number of natural numbers n such that ( n + 1 ) ^ 2 / ( n + 7 ) is an integer, is?
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[Assistant] 4

[User]
total dinning bill of 8 people was $ 139.00 and 10 % tip divided the bill evenly? what is the bill amount each person shared.
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[Assistant] 19.11

[User]
positive integer y is 50 percent of 50 percent of positive integer x, and y percent of x equals 100. what is the value of x?
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[Assistant] 200


[User]
3 / 4 of 1 / 2 of 2 / 5 of 5060 =?
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[Assistant] 759

[User]
the average of 10 numbers is 40.2. later it is found that two numbers have been wrongly copied. the first is 18 greater than the actual number and the second number added is 13 instead of 31. find the correct average.
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[Assistant] 40.2

[User]
how many integers between 100 and 190, inclusive, can not be evenly divided by 3 nor 5?
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[Assistant] 48

[User]
$ 300 is divided amongst a, b and c so that a may get 2 / 3 as much as b and c together, b may get 6 / 9 as much as a and c together, then the share of a is
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[Assistant] $ 120

[User]
what is the cp of rs 100 stock at 4 discount, with 1 / 5 % brokerage?
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[Assistant] 96.2


[User]
if an article is sold at 18 % profit instead of 11 % profit, then the profit would be $ 63 more. what is the cost price?
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[Assistant] $ 900

[User]
how many x ways can you group 3 people from 4 sets of twins if no two people from the same set of twins can be chosen?
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[Assistant] 32

[User]
in the game of dubblefud, yellow chips, blue chips and green chips are each worth 2, 4 and 5 points respectively. in a certain selection of chips, the product of the point values of the chips is 16000. if the number of blue chips in this selection equals the number of green chips, how many yellow chips are in the selection?
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[Assistant] 4

[User]
if a light flashes every 10 seconds, how many times will it flash in 2 / 3 of an hour?
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[Assistant] 241

[User]
john can complete a given task in 20 days. jane will take only 12 days to complete the same task. john and jane set out to complete the task by beginning to work together. however, jane was indisposed 5 days before the work got over. in how many days did the work get over from the time john and jane started to work on it together?
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[Assistant] 95 / 8


[User]
if the wheel is 18 cm then the number of revolutions to cover a distance of 1056 cm is?
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[Assistant] 9.3

[User]
if a large pizza has a radius that is 60 % larger that that of a medium pizza, what is the percent increase in area between a medium and a large pizza?
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[Assistant] 156 %

[User]
if a - b = 3 and a ( power 2 ) + b ( power 2 ) = 25, find the value of ab.
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[Assistant] 8

[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 four times 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 $ 0.40 per glass on the first day, what was the price per glass on the second day?
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[Assistant] $ 0.16

[User]
a car takes 6 hours to cover a distance of 144 km. how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time?
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[Assistant] 16 kmph


[User]
a man purchased 3 blankets @ rs. 100 each, 5 blankets @ rs. 150 each and two blankets at a certain rate which is now slipped off from his memory. but he remembers that the average price of the blankets was rs. 140. find the unknown rate of two blankets?
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[Assistant] 350

[User]
how long will it take a train travelling at 78 kmph to pass an electric pole if the train is 110 meters in lenght?
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[Assistant] 5.07

[User]
find the least number which when divided by 20,25, 35,40 leaves remainder 14,19, 29,34 respectively.
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[Assistant] 1394

[User]
the cash realised on selling a 14 % stock is rs. 106.25, brokerage being 1 / 4 % is
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[Assistant] 106

[User]
if a car went the first third of the distance at 80 kmh, the second third at 24 kmh, and the last third at 54 kmh, what was the average speed of the car for the entire trip?
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[Assistant] 41 kmh


[User]
one side of a rectangle is 3 cm shorter than the other side. if we increase the length of each side by 1 cm, then the area of the rectangle will increase by 22 cm 2. find the lengths of all sides.
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[Assistant] 12 and 9

[User]
rice weighing 25 / 4 pounds was divided equally and placed in 4 containers. how many ounces of rice were in each container? ( note that 1 pound = 16 ounces )
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[Assistant] 25

[User]
a towel, when bleached, lost 20 % of its length and 20 % of its breadth. what is the percentage decrease in area?
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[Assistant] 36 %

[User]
sara bought both german chocolate and swiss chocolate for some cakes she was baking. the swiss chocolate cost $ 3.6 per pound, and german chocolate cost $ 3 per pound. if the total the she spent on chocolate was $ 36 and both types of chocolate were purchased in whole number of pounds, how many total pounds of chocolate she purchased?
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[Assistant] 36 / 3

[User]
a business finds that their ratio of spending to income is 5 to 9. their total profit is $ 48000. what is their total income?
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[Assistant] $ 108000


[User]
in a certain animal population, for each of the first 3 months of life, the probability that an animal will die during that month is 1 / 10. for a group of 300 newborn members of the population, approximately how many would be expected to survive the first 3 months of life?
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[Assistant] 219

[User]
what is the range of all the roots of | x ^ 2 - 6 | = x?
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[Assistant] 5

[User]
if 6 spiders make 3 webs in 7 days, then how many days are needed for 1 spider to make 1 web?
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[Assistant] 14

[User]
what is the perimeter, in meters, of a rectangular garden 12 meters wide that has the same area as a rectangular playground 16 meters long and 12 meters wide?
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[Assistant] 56

[User]
how many seconds will a train 100 meters long take to cross a bridge 200 meters long if the speed of the train is 36 kmph?
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[Assistant] 30 sec


[User]
a water tank is three - fifths full. pipe a can fill a tank in 15 minutes and pipe b can empty it in 6 minutes. if both the pipes are open, how many minutes will it take to empty or fill the tank completely?
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[Assistant] 6

[User]
in a bag, there are 5 green, 6 black and 7 red pens. one pen is picked up randomly. what is the probability that it is neither red nor green?
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[Assistant] 1 / 3

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

[Assistant] 10

[User]
the marks obtained by polly and sandy are in the ratio 5 : 6 and those obtained by sandy and willy are in the ratio of 9 : 7. the marks obtained by polly and willy are in the ratio of...?
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[Assistant] 15 : 14

[User]
x can finish a work in 36 days. y can finish the same work in 24 days. y worked for 12 days and left the job. how many days does x alone need to finish the remaining work?
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[Assistant] 18


[User]
a ( 4, w ^ 2 ) is the ( x, y ) coordinate of point located on the parabola y = x ^ 2 + 9. what is the value of w?
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[Assistant] 5.

[User]
two cars started at the same time, from the same point, driving along the same road. the rate of the first car is 50 mph and the rate of the second car is 60 mph. how long will it take for the distance between the two cars to be 30 miles?
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[Assistant] 3 hrs

[User]
a train 240 m long passes a pole in 24 seconds. how long will it take to pass a platform 650 m long?
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[Assistant] 89

[User]
a feed store sells two varieties of birdseed : brand a, which is 40 % millet and 60 % sunflower, and brand b, which is 65 % millet and 35 % safflower. if a customer purchases a mix of the two types of birdseed that is 50 % millet, what percent of the mix is brand a?
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[Assistant] 60 %

[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. 360 in all. for how many days was he absent?
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[Assistant] 12


[User]
when a number is divided by 13, the remainder is 11. when the same number is divided by 17, then remainder is 9. what is the number?
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[Assistant] 349

[User]
a football player scores 3 goals in his fifth match thus increasing his average goals score by 0.2. the total number of goals in his 5 matches would be
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[Assistant] 11

[User]
350 metres long yard, 26 trees are palnted at equal distances, one tree being at each end of the yard. what is the distance between 2 consecutive trees
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[Assistant] 14

[User]
the population of a town is 8000. it decreases annually at the rate of 20 % p. a. what will be its population after 2 years?
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[Assistant] 5120

[User]
a pair of articles was bought for $ 900 at a discount of 10 %. what must be the marked price of each of the article?
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[Assistant] $ 500


[User]
what will be the fraction of 10 %
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[Assistant] 1 / 10

[User]
a man buys an item at rs. 600 and sells it at the loss of 20 percent. then what is the selling price of that item
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[Assistant] rs. 480

[User]
last month, john rejected 0.5 % of the products that he inspected and jane rejected 0.8 percent of the products that she inspected. if total of 0.75 percent of the products produced last month were rejected, what fraction of the products did jane inspect?
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[Assistant] 5 / 6

[User]
if k is an integer and 0.00010101 x 10 ^ k is greater than 10, what is the least possible value of k?
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[Assistant] 5

[User]
what least number must be subtracted from 42398 so that remaining no. is divisible by 15
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[Assistant] 8


[User]
what is 35 % of 4 / 13 of 650?
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[Assistant] 70

[User]
a man is 24 years older than his son. in two years, his age will be twice the age of his son. the present age of his son is :
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[Assistant] 22 years

[User]
79 laboratories raise the bacterium, the laboratory have 48 culture dishes on average, which has about 25073 bacteria each. how many bacteria are there approximately?
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[Assistant] 10 ^ 8

[User]
the simple form of the ratio 5 / 3 : 2 / 5 is?
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[Assistant] 25 : 6

[User]
pat, kate and mark charged a total of 180 hours to a certain project. if pat charged twice as much time to the project as kate and 1 / 3 as much times as mark, how many more hours did mark charge to the project than kate.
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[Assistant] 100


[User]
one tap, working alone at its maximum constant rate, can fill a certain sink in 287 seconds. a second tap, working alone at its maximum constant rate, can fill the same sink in 283 seconds. if both taps work together at their respective maximum constant rates, the time it will take to fill the sink is closest to
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[Assistant] 142 seconds

[User]
of the 85 house in a development, 50 have a two - car garage, 40 have an in - the - ground swimming pool, and 35 have both a two - car garage and an in - the - ground swimming pool. how many houses in the development have neither a two - car garage nor an in - the - ground swimming pool?
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[Assistant] 30

[User]
a train running at the speed of 240 km / hr crosses a pole in 21 seconds. what is the length of the train?
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[Assistant] 1400 m

[User]
the difference between the squares of two consecutive odd integers is a square < 1000 whose root equals the combined sum of the digits of the two integers. what is the sum of the digits m of the larger integer?
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[Assistant] m = 2

[User]
if f ( x ) = 2 x + 3, & g ( x ) = ( x - 3 ) / 2, then what is the value of, fo ( fo ( go ( go ( fo ( fo ( go ( go................ ( fo ( fo ( go ( gof ( x ) ) ) ) )..... ) ) ) ) ) )?
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[Assistant] 7


[User]
the length of the bridge, which a train 150 metres long and travelling at 45 km / hr can cross in 30 seconds, is?
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[Assistant] 225 m

[User]
find the number which is nearest to 3105 and is exactly divisible by 21
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[Assistant] 3108

[User]
the ratio of pens to pencils is 5 to 6. there are 5 more pencils than pens. how many pencils are there?
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[Assistant] 30

[User]
p is 3 times as old as q. in 11 years, p will be twice as old as q. how old was p 3 years ago?
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[Assistant] 30

[User]
a person can row at 9 kmph and still water. he takes 8 1 / 2 hours to row from a to b and back. what is the distance between a and b if the speed of the stream is 1 kmph?
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[Assistant] 38


[User]
a walks at 30 kmph and 30 hours after his start, b cycles after him at 50 kmph. how far from the start does b catch up with a?
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[Assistant] 2250 km

[User]
a box contains 1 red balls and 5 black balls. one by one, every ball is selected at random without replacement. what is the probability that the fourth ball selected is black?
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[Assistant] 1 / 2

[User]
in a class of 40 students, 2 students did not borrow any books from the library, 12 students each borrowed 1 book, 13 students each borrowed 2 books, and the rest borrowed at least 3 books. if the average number of books per student was 2, what is the maximum number of books any single student could have borrowed?
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[Assistant] 6

[User]
if 5400 mn = k ^ 4, where m, n, and k are positive integers, what is the least possible value of 4 m + n?
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[Assistant] 55

[User]
on rainy mornings, mo drinks exactly n cups of hot chocolate ( assume that n is an integer ). on mornings that are not rainy, mo drinks exactly 3 cups of tea. last week mo drank a total of 26 cups of tea and hot chocolate together. if during that week mo drank 10 more tea cups than hot chocolate cups, then how many rainy days were there last week?
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[Assistant] 1


[User]
the mean of 50 observations was 36. it was found later that an observation 45 was wrongly taken as 23. the corrected new mean is?
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[Assistant] 36.4

[User]
a and b are two partially filled buckets of water. if 4 liters are transferred from a to b, then a would contain one - third of the amount of water in b. alternatively, if 4 liters are transferred from b to a, b would contain one - half of the amount of water in a. bucket a contains how many liters of water?
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[Assistant] 44 / 5

[User]
pipe a can fill a tank in 4 hours. due to a leak at the bottom, it takes 6 hours for the pipe a to fill the tank. in what time can the leak alone empty the full tank?
Answer the question using a single word or phrase.

[Assistant] 12

[User]
an individual deposited 20 % of 25 % of 30 % of what he had into his account with a bank. if he deposited rs. 750, how much was he having initially with him before depositing?
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[Assistant] rs. 50000

[User]
in a market, a dozen eggs cost as much as a pound of rice, and a half - liter of kerosene costs as much as 8 eggs. if the cost of each pound of rice is $ 0.33, then how many r cents does a liter of kerosene cost? [ one dollar has 100 cents. ]
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[Assistant] 44


[User]
dacid obtained 96, 98, 99, 100 and 98 marks ( out of 100 ) in english, mathematics, physics, chemistry and biology. what are his average marks?
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[Assistant] 98

[User]
if 4 x + 3 y = 8 and y − 3 x = 2, then what is the value of x + 4 y?
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[Assistant] 10

[User]
a lemonade stand sold only small and large cups of lemonade on tuesday. 3 / 5 of the cups sold were small and the rest were large. if the large cups were sold for 1 / 6 as much as the small cups, what fraction of tuesday's total revenue was from the sale of large cups?
Answer the question using a single word or phrase.

[Assistant] 1 / 10

[User]
there are 10 baskets numbered from 1 to 10 and filled with apples. 10 children are asked to pick apples one by one from each basket such that the number of apples picked by each child from each basket is equal to the number marked on the basket. if there were 1000 apples in total and the baskets were filled in such a way that none of the basket became empty in the process, how many apples were left in the end?
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[Assistant] 450

[User]
the positive numbers w, x, y, and z are such that x is 30 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?
Answer the question using a single word or phrase.

[Assistant] 20.0 %


[User]
an exam consists of 7 true / false questions. brian forgets to study, so he must guess blindly on each question. if any score above 70 % is a passing grade, what is the probability that brian passes?
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[Assistant] 219 / 256

[User]
what is difference between biggest and smallest fraction among 2 / 3, 3 / 4, 4 / 5 and 5 / 7
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[Assistant] 2 / 15

[User]
last year department store x had a sales total for december that was 5 times the average ( arithmetic mean ) of the monthly sales totals for january through november. the sales total for december was what fraction of the sales total for the year?
Answer the question using a single word or phrase.

[Assistant] 5 / 16

[User]
if [ x ] is the greatest integer less than or equal to x, what is the value of [ - 6.2 ] + [ - 3.4 ] + [ 12.7 ]?
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[Assistant] - 1

[User]
a towel, when bleached, was found to have lost 20 % of its length and 10 % of its breadth. the percentage of decrease in area is :
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[Assistant] 28 %


[User]
at what rate percent per annum will the simple interest on a sum of money be 2 / 5 of the amount in 10 years?
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[Assistant] 4 %

[User]
a cycle is bought for rs. 900 and sold for rs. 1125, find the gain percent?
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[Assistant] 25 %

[User]
the vertex of a rectangle are ( 1, 0 ), ( 5, 0 ), ( 1, 2 ) and ( 5, 2 ) respectively. if line l passes through the origin and divided the rectangle into two identical quadrilaterals, what is the slope of line l?
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[Assistant] 1 / 3

[User]
a 140 m long train is running at a speed of 55 km / hr. it crossed a platform of length 520 m in?
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[Assistant] 43.2 sec

[User]
how long will a boy take to run round a square field of side 50 meters, if he runs at the rate of 9 km / hr?
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[Assistant] 80 sec


[User]
if the ratio of the sum of the first 6 terms of a g. p. to the sum of the first 3 terms of the g. p. is 28, what is the common ratio of the g. p?
Answer the question using a single word or phrase.

[Assistant] 3

[User]
19 men take 21 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] 38

[User]
a woman invested $ 1,000, part at 5 % and the rest at 6 %. her total investment with interest at the end of the year was $ 1,056. how much did she invest at 5 %?
Answer the question using a single word or phrase.

[Assistant] $ 400

[User]
the length of the bridge, which a train 135 m long and traveling at 45 km / hr can cross in 30 sec is?
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[Assistant] 240

[User]
there are two inlets and one outlet to a cistern. one of the inlets takes 4 hours to fill up the cistern and the other inlet takes twice as much time to fill up the same cistern. both of the inlets are turned on at 8 : 30 am with the cistern completely empty, and at 10 : 30 am, the outlet is turned on and it takes 1 more hour to fill the cistern completely. how much time does the outlet working alone takes to empty the cistern when the cistern is full?
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[Assistant] 8 hours


[User]
if a 10 percent deposit that has been paid toward the purchase of a certain product is $ 80, how much more remains to be paid?
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[Assistant] $ 720

[User]
mike needs 30 % to pass. if he scored 212 marks and falls short by 22 marks, what was the maximum marks he could have got?
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[Assistant] 780

[User]
if shares of two persons in profits are rs. 400 and rs. 500 then ratio of their capitals is
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[Assistant] 4 : 5

[User]
in the xy - plane, the point ( 2, 1 ) is the center of a circle. the point ( - 2, 1 ) lies inside the circle and the point ( 2, - 5 ) lies outside the circle. if the radius r of the circle is an integer, then r =
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[Assistant] 5

[User]
the sum of three consecutive integers is 102. find the lowest of the three?
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[Assistant] 33


[User]
in 1970 there were 8,902 women stockbrokers in the united states. by 1978 the number had increased to 21,947. approximately what was the percent increase?
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[Assistant] 147 %

[User]
if k is the greatest positive integer such that 4 ^ k is a divisor of 16! then k =
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[Assistant] 5

[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 16 kmph and 20 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] 432

[User]
johnny makes $ 8.25 per hour at his work. if he works 2 hours, how much money will he earn?
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[Assistant] $ 16.50

[User]
the difference between the value of a number increased by 12.5 % and the value of the original number decreased by 25 % is 30. what is the original number t?
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[Assistant] 80


[User]
how many positive integers less than 5,000 are evenly divisible by neither 18 nor 21?
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[Assistant] 4,428

[User]
evaluate : | 4 - 8 ( 3 - 12 ) | - | 5 - 11 | =?
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[Assistant] 70

[User]
if xy denotes x is raised to the power y, find the last two digits of 19413844 + 19714181
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[Assistant] 132

[User]
in an election only two candidates contested. a candidate secured 70 % of the valid votes and won by a majority of 172 votes. find the total number of valid votes?
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[Assistant] 430

[User]
12 buckets of water fill a tank when the capacity of each bucket is 55 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] 132


[User]
john can complete a given task in 20 days. jane will take only 12 days to complete the same task. john and jane set out to complete the task by beginning to work together. however, jane was indisposed 4 days before the work got over. in how many days did the work get over from the time john and jane started to work on it together?
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[Assistant] 10

[User]
in cliff ’ s impressive rock collection, there are half as many igneous rocks as sedimentary rocks. of the igneous rocks, 1 / 3 are shiny and the rest are matte, while 1 / 5 of the sedimentary rocks are shiny. if there are 30 shiny igneous rocks, how many total rocks does cliff have?
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[Assistant] 270

[User]
at a loading dock, each worker on the night crew loaded 3 / 4 as many boxes as each worker on the day crew. if the night crew has 5 / 6 as many workers as the day crew, what fraction of all the boxes loaded by the two crews did the day crew load?
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[Assistant] 8 / 13

[User]
a man has some hens and cows. if the number of heads be 50 and the number of feet equals 140, then the number of hens will be :
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[Assistant] 30

[User]
the average speed of a car decreased by 3 miles per hour every successive 8 - minutes interval. if the car traveled 4.4 miles in the fifth 8 - minute interval, what was the average speed of the car, in miles per hour, in the first 8 minute interval?
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[Assistant] 45


[User]
a particular store purchased a stock of turtleneck sweaters and marked up its cost by 20 %. during the new year season, it further marked up its prices by 25 % of the original retail price. in february, the store then offered a discount of 9 %. what was its profit on the items sold in february?
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[Assistant] 36.5 %

[User]
if p / q = 6 / 7, then 2 p + q =?
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[Assistant] 19

[User]
the ratio between the length and the breadth of a rectangular park is 3 : 2. if a man cycling along the boundary of the park at the speed of 12 km / hr completes one round in 9 minutes, then the area of the park ( in sq. m ) is
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[Assistant] 194400

[User]
a certain library assesses fines for overdue books as follows. on the first day that a book is overdue, the total fine is $ 0.08. for each additional day that the book is overdue, the total fine is either increased by $ 0.30 or doubled, whichever results in the lesser amount. what is the total for a book on the fourth day it is overdue?
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[Assistant] $ 0.62

[User]
it is currently 7 : 05 pm. what time was it in the morning exactly 51132 minutes ago?
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[Assistant] 6 : 53


[User]
mary and mike enter into a partnership by investing $ 800 and $ 200 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 $ 1200 more than mike did, what was the profit made by their business in that year?
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[Assistant] $ 3000

[User]
the ratio of the length and the width of a rectangle is 4 : 3 and the area of the rectangle is 4332 sq cm. what is the ratio of the width and the area of the rectangle?
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[Assistant] 1 : 76

[User]
if a and b are positive numbers, and a ^ 3 + b ^ 3 = 30, then the greatest possible value of a is between :
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[Assistant] 3 and 4

[User]
an owner of a pizza stand sold small slices of pizza for rs. 150 each and large slices for rs. 250 each. one night he sold 5000 slices, for a total of rs. 10.50 lakh. how many small slices were sold?
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[Assistant] 2000

[User]
a boat can travel with a speed of 22 km / hr in still water. if the speed of the stream is 5 km / hr, find the time taken by the boat to go 189 km downstream
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[Assistant] 7 hours


[User]
light glows for every 21 seconds. how many max. times did it glow between 1 : 57 : 58 and 3 : 20 : 47 am.
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[Assistant] 236 times

[User]
a train 360 m long is running at a speed of 45 km / hr. in what time will it pass a bridge 240 m long?
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[Assistant] 48 sec

[User]
a man buys a cycle for rs. 1400 and sells it at a loss of 12 %. what is the selling price of the cycle?
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[Assistant] s. 1232

[User]
all the faces of cubes are painted with red colour. it is then cut into 64 equal small cubes. find how many small cubes have only one face coloured?
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[Assistant] 24

[User]
of the total amount that jill spent on a shopping trip, excluding taxes, she spent 20 percent on clothing, 50 percent on food, and 30 percent on other items. if jill paid a 10 percent tax on the clothing, 15 percent tax on the food, and no tax on all other items, then the total tax that she paid was what percent of the total amount that she spent, excluding taxes?
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[Assistant] 12.25


[User]
if there are 26 laborers in a crew, and on a certain day, 10 were present. calculate the percentage that showed up for work? ( round to the nearest tenth ).
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[Assistant] 38.5 %

[User]
how many 3 - digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9, which are divisible by 5 and if the repetition is allowed?
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[Assistant] 36

[User]
the profit obtained by selling an article for rs. 66 is the same as the loss obtained by selling it for rs. 52. what is the cost price of the article?
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[Assistant] rs. 59

[User]
if 7 and 9 are factors of 60 n, what is the minimum value of n?
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[Assistant] 21

[User]
a bag contains 5 red, 4 blue and 3 green balls. if 2 ballsare picked at random, what is the probability that both are red?
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[Assistant] 5 / 33