[User]
for every even positive integer m, f ( m ) represents the product of all even integers from 2 to m, inclusive. for example, f ( 12 ) = 2 x 4 x 6 x 8 x 10 x 12. what is the greatest prime factor of f ( 34 )?
Answer the question using a single word or phrase.

[Assistant] 17

[User]
a family pays $ 900 per year for an insurance plan that pays 60 percent of the first $ 1,000 in expenses and 100 percent of all medical expenses thereafter. in any given year, the total amount paid by the family will equal the amount paid by the plan when the family's medical expenses total how much?
Answer the question using a single word or phrase.

[Assistant] $ 1,700

[User]
a certain basketball team that has played 2 / 3 of its games has a record of 13 wins and 7 losses. what is the greatest number of the remaining games that the team can lose and still win at least 3 / 4 of all of its games?
Answer the question using a single word or phrase.

[Assistant] 0

[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 4 hours and 49 hours respectively. the ratio of their speeds is :
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[Assistant] 7 : 2

[User]
find 62976 ÷? = 123
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[Assistant] 512


[User]
x alone can do a piece of work in 15 days and y alone can do it in 10 days. x and y undertook to do it for rs. 720. with the help of z they finished it in 5 days. how much is paid to z?
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[Assistant] rs. 120

[User]
4, 25,49,
Answer the question using a single word or phrase.

[Assistant] 121

[User]
the weights of one liter vegetable ghee packet of two brands ‘ a ’ and ‘ b ’ are 950 gm and 850 gm respectively. if they are mixed in the ratio of 3 : 2 by volumes to form a mixture of 4 liters, what is the weight ( in kg ) of the mixture?
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[Assistant] 3.64

[User]
a, b, c can complete a piece of work in 24, 6,12 days. working together, they complete the same work in how many days?
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[Assistant] 24 / 7

[User]
company c sells a line of 25 products with an average retail price of $ 1,000. if none of these products sells for less than $ 400, and exactly 10 of the products sell for less than $ 1,000, what is the greatest possible selling price of the most expensive product?
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[Assistant] 7000


[User]
a caterer ordered 200 ice - cream bars and 200 sundaes. if the total price was $ 200.00 and the price of each ice - cream bar was $ 0.40, what was the price of each sundae?
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[Assistant] $ 0.60

[User]
what is the least value of k. so that 123 k 578 is divisible by 11.
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[Assistant] 8

[User]
local kennel has cats and dogs in the ratio of 3 : 4. if there are 8 fewer cats than dogs, how many dogs are in the kennel?
Answer the question using a single word or phrase.

[Assistant] 32

[User]
the ratio of ducks and frogs in a pond is 37 : 39 respectively. the average number of ducks and frogs in the pond is 142. what is the number of frogs in the pond?
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[Assistant] 145

[User]
john had a stock of 1400 books in his bookshop. he sold 75 on monday, 50 on tuesday, 64 on wednesday, 78 on thursday and 135 on friday. what percentage of the books were not sold?
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[Assistant] 71.3 %


[User]
two numbers a and b are such that the sum of 8 % of a and 4 % of b is two - third of the sum of 6 % of a and 8 % of b. find the ratio of a : b.
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[Assistant] 1 : 3

[User]
the compound ratio of 5 : 6, 3 : 4 and 4 : 5?
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[Assistant] 1 : 2

[User]
the average age of students of a class is 15.8 years. the average age of boys in the class is 16.4 years and that of the girls is 15.1 years, the ratio of the number of boys to the number of girls in the class is
Answer the question using a single word or phrase.

[Assistant] 7 : 6

[User]
of 70 players on a football team, 31 are throwers. the rest of the team is divided so one third are left - handed and the rest are right handed. assuming that all throwers are right handed, how many right - handed players are there total?
Answer the question using a single word or phrase.

[Assistant] 57

[User]
each week, harry is paid x dollars per hour for the first 30 hours and 1.5 x dollars for each additional hour worked that week. each week, james is paid x dollars per hour for the first 40 hours and 2 x dollars for each additional hour worked that week. last week james worked a total of 53 hours. if harry and james were paid the same amount last week, how many hours did harry work last week?
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[Assistant] 54


[User]
triangle xyz is an isosceles right triangle. if side xy is longer than side yz, and the area of the triangle is 9, what is the measure of side xy?
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[Assistant] 6

[User]
yesterday's closing prices of 1980 different stocks listed on a certain stock exchange were all different from today's closing prices. the number of stocks that closed at a higher price today than yesterday was 20 percent greater than the number that closed at a lower price. how many of the stocks closed at a higher price today than yesterday?
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[Assistant] 1080

[User]
a man walking at the rate of 5 km / hr crosses a bridge in 15 minutes. the length of the bridge ( in metres ) is?
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[Assistant] 1250

[User]
a 75 m long train is running at 54 km / hr. in how much time will it cross an electric pole?
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[Assistant] 5

[User]
a reduction of 24 % 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] s. 3.16


[User]
what is the least number that should be added to 1077, so the sum of the number is divisible by 23?
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[Assistant] 4

[User]
how many pieces of 0.63 meteres can be cut from a rod 32.5 meteres long
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[Assistant] 51

[User]
how many terminating zeroes q does 200! have?
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[Assistant] 49

[User]
gold is 19 times as heavy as water and copper is 9 times as heavy as water. in what ratio should these be mixed to get an alloy 17 times as heavy as water?
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[Assistant] 4 : 1

[User]
a man bought an article and sold it at a gain of 5 %. if he had bought it at 5 % less and sold it for re 2 less, he would have made a profit of 10 %. the c. p. of the article was
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[Assistant] 400


[User]
when 52416 is divided by 312, the quotient is 168. what will be the quotient when 52.416 is divided by 0.000168?
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[Assistant] 8

[User]
the average age of a class of 23 students is 22 years. the average increased by 1 when the teacher's age also included. what is the age of the teacher?
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[Assistant] 46

[User]
x is a positive integer less than 600. when x is divided by 7, the remainder is 1 ; when x is divided by 3, the remainder is 2. how many x are there?
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[Assistant] 25

[User]
if the radius of a circle is increased by 30 % then the area is increased by :
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[Assistant] 69 %

[User]
how long does a train 100 m long traveling at 60 kmph takes to cross another train of 170 m in length has a speed of 40 kmph?
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[Assistant] 3.6 sec


[User]
a student committee on academic integrity has 90 ways to select a president and vice president from a group of candidates. the same person can not be both president and vice president. how many candidates are there?
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[Assistant] 10

[User]
in the coordinate plane, line a has a slope of - 1 and an x - intercept of 2. line b has a slope of 5 and a y - intercept of - 10. if the two lines intersect at the point ( a, b ), what is the sum a + b?
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[Assistant] 2

[User]
if 9 is added to thrice a number and this sum is multiplied by 6, the result is the same as if the number is multiplied by 7 and 10 is added to the product. what is the number?
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[Assistant] - 11

[User]
a circle graph shows how the megatech corporation allocates its research and development budget : 14 % microphotonics ; 24 % home electronics ; 20 % food additives ; 29 % genetically modified microorganisms ; 8 % industrial lubricants ; and the remainder for basic astrophysics. if the arc of each sector of the graph is proportional to the percentage of the budget it represents, how many degrees of the circle are used to represent basic astrophysics research?
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[Assistant] 18 °

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


[User]
a perfect square is defined as the square of an integer and a perfect cube is defined as the cube of an integer. how many positive integers n are there such that n is less than 30,000 and at the same time n is a perfect square and a perfect cube?
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[Assistant] 5

[User]
for the positive integers x, x + 2, x + 4, x + 7, and x + 27, the mean is how much greater than the median?
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[Assistant] 4

[User]
a certain characteristic in a large population has a distribution that is symmetric about the mean m. if 68 % of the distribution lies one standard deviation g of the mean, what percent of the distribution is less than m + g?
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[Assistant] 84 %

[User]
pradeep has to obtain 35 % of the total marks to pass. he got 185 marks and failed by 25 marks. the maximum marks are
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[Assistant] 600

[User]
in a sample of 800 high school students in which all students are either freshmen, sophomores, juniors, or seniors, 22 percent are juniors and 75 percent are not sophomores. if there are 160 seniors, how many more freshmen than sophomores are there among the sample of students?
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[Assistant] 64


[User]
a tailor trims 6 feet from opposite edges of a square piece of cloth, and 5 feet from the other two edges. if 120 square feet of cloth remain, what was the length of a side of the original piece of cloth?
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[Assistant] 22

[User]
find the area of a parallelogram with base 14 cm and height 24 cm.
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[Assistant] 336

[User]
a man saves a certain portion of his income during a year and spends the remaining portion on his personal expenses. next year his income increases by 35 % but his savings increase by 100 %. if his total expenditure in 2 years is double his expenditure in 1 st year, what % age of his income in the first year did he save?
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[Assistant] 35 %

[User]
how is 5 % expressed as a decimal fraction?
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[Assistant] 0.05

[User]
34. the side surface of a cylinder is rolled with a rectangular plate. if the perimeter of the circular base is 6 feet, and the diagonal of the rectangular plate was 10 ft. what is height of the of the cylinder?
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[Assistant] 8


[User]
a train traveling at 100 kmph overtakes a motorbike traveling at 64 kmph in 85 seconds. what is the length of the train in meters?
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[Assistant] 850 meters

[User]
how many three digit numbers q are divisible by 78 or 91?
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[Assistant] 19

[User]
p, q, r enter into a partnership & their share are in the ratio 1 / 2 : 1 / 3 : 1 / 4, after two months, p withdraws half of the capitals & after 10 months, a profit of rs 378 is divided among them. what is q's share?
Answer the question using a single word or phrase.

[Assistant] 144

[User]
if a ( a + 5 ) = 36 and b ( b + 5 ) = 36, where a ≠ b, then a + b =
Answer the question using a single word or phrase.

[Assistant] − 5

[User]
a computer is programmed to multiply consecutive even integers 2 * 4 * 6 * 8 * … * n until the product is divisible by 2013, what is the value of n?
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[Assistant] 122


[User]
how many two - digit numbers yield a remainder of 1 when divided by both 6 and 15?
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[Assistant] 2

[User]
for what value of â € œ k â €  will the equation ( 2 kx 2 + 3 kx + 2 ) = 0 have equal roots?
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[Assistant] 16 / 9

[User]
if 9 parallel lines in a plane is intersected by a family of another 8 parallel lines, how many parallelograms are there in the network thus formed?
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[Assistant] 1008

[User]
entry fee in an examination was re. 1. later, this was reduced by 25 % which increased the sale by 20 %. the percentage increase in the number of visitors is
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[Assistant] 60

[User]
a, b and c can do a piece of work in 7 days, 21 days and 28 days respectively. how long will they taken, if all the three work together?
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[Assistant] 4 8 / 19


[User]
a retailer bought a machine at a wholesale price of $ 126 and later on sold it after a 10 % discount of the retail price. if the retailer made a profit equivalent to 20 % of the whole price, what is the retail price of the machine?
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[Assistant] 168

[User]
if rs. 10 be allowed as true discount on a bill of rs. 110 at the end of a certain time, then the discount allowed on the same sum due at the end of double the time is
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[Assistant] 18.33

[User]
the grade point average of the entire class is 85. if the average of one third of the class is 97, what is the average of the rest of the class?
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[Assistant] 79

[User]
the diameter of a wheel is 0.7 m. how far will it travel in 200 revolutions
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[Assistant] 440 m

[User]
keats library purchases a number of new books, all in the category of biography, and the library does not acquire any other books. with the addition of the new biographies, the biography collection of the library amounts to 35 % of the total number of books in the library. if prior to the purchase, only 20 % of the books in keats library were biographies, by what percent has the number of biographies in the library increased?
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[Assistant] 115 %


[User]
two 6 faced dice are thrown together. the probability that both show the same number on them is?
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[Assistant] 1 / 6

[User]
what is the area of square field whose side of length 16 m?
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[Assistant] 256

[User]
if the average marks of 3 batches of 40, 50 and 60 students respectively is 45, 55, 65, what is the average marks of all the students?
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[Assistant] 56.33

[User]
in what ratio must rice of rs. 16 per kg be mixed with rice of rs. 10 per kg so that cost of mixture is rs. 12 per kg?
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[Assistant] 1 : 2

[User]
in a bus left side are 15 seats available, 3 few seats in right side because in rear exit door. each seat hold 3 people. in addition, there is a seat back can sit 10 people all together. how many people can sit in a bus?
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[Assistant] 91


[User]
if 4 < x < 8 < y < 12, then what is the greatest possible positive integer difference of x and y?
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[Assistant] 7

[User]
the average mark of the students of a class in a particular exam is 80. if 5 students whose average mark in that exam is 70 are excluded, the average mark of the remaining will be 90. find the number of students who wrote the exam.
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[Assistant] 10

[User]
what annual payment will discharge a debt of rs. 6450 due in 4 years at 5 % per annum?
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[Assistant] 1500

[User]
in township k each property is taxed at 8 percent of its assessed value. if the assessed value of a property in township k is increased from $ 18,000 to $ 28,000, by how much will the property tax increase?
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[Assistant] $ 800

[User]
at a special sale, 8 tickets can be purchased for the price of 6 tickets. if 8 tickets are purchased at the sale, the amount saved will be what percent of the original price of the 8 tickets?
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[Assistant] 25 %


[User]
when y is divided by 276, the remainder is 44. what is the remainder when the same y is divided by 23?
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[Assistant] 21

[User]
the cricket team of 11 members is 29 yrs old & the wicket keeper is 3 yrs older. if the ages ofthese 2 are excluded, the average age of theremaining players is 1 year less than the average age of the whole team. what is the average age of the team?
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[Assistant] 26

[User]
what is the greater of the two numbers whose product is 2560, given that the sum of the two numbers exceeds their difference by 64?
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[Assistant] none of these

[User]
a cistern which could be filled in 5 hours takes one hour more to be filled owing to a leak in its bottom. if the cistern is full in what time will the leak empty it?
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[Assistant] 10 hrs

[User]
find value for x from below equation? x + 1 = 3
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[Assistant] 2


[User]
the angle between the minute hand and the hour hand of a clock when the time is 12.30, is
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[Assistant] 195 °

[User]
jane started baby - sitting when she was 18 years old. whenever she baby - sat for a child, that child was no more than half her age at the time. jane is currently 32 years old, and she stopped baby - sitting 12 years ago. what is the current age of the oldest person for whom jane could have baby - sat?
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[Assistant] 23

[User]
what is the remainder of r = 3 ^ 19 when divided by 10?
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[Assistant] 7

[User]
john makes $ 30 a week from his job. he earns a raise andnow makes $ 40 a week. what is the % increase?
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[Assistant] 33.33 %

[User]
line m lies in the xy - plane. the y - intercept of line m is - 2, and line m passes through the midpoint of the line segment whose endpoints are ( 2, 8 ) and ( 6, - 4 ). what is the slope of line m?
Answer the question using a single word or phrase.

[Assistant] 1


[User]
the annual birth and death rate in a country per 1000 are 39.4 and 19.4 respectively. the number of years b in which the population would be doubled assuming there is no emigration or immigration is
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[Assistant] b = 35

[User]
if 36 men can do a piece of work in 5 hours, in how many hours will 15 men do it?
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[Assistant] 12

[User]
in business, a and c invested amounts in the ratio 4 : 2, whereas the ratio between amounts invested by a and b was 4 : 1, if rs 20,000 was their profit, how much amount did a receive.
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[Assistant] 13333

[User]
if the average of 10 consecutive integers is 24.5 then the 10 th integer is : -
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[Assistant] 29

[User]
the letters o, l and t are rearranged to form the word'lot '. find its probability.
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[Assistant] 1 / 6


[User]
a teacher grades students ’ tests by subtracting twice the number of incorrect responses from the number of correct responses. if student a answers each of the 100 questions on her test and receives a score of 64, how many questions did student a answer correctly?
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[Assistant] 88

[User]
on the richter scale, which measures the total amount of energy released during an earthquake, a reading of x - 1 indicates one - tenth the released energy as is indicated by a reading of x. on that scale, the frequency corresponding to a reading of 7 is how many times as great as the frequency corresponding to a reading of 2?
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[Assistant] 10 ^ 5

[User]
a wildlife preserve is being planned for 8000 rhinoceroses. the preserve is to contain a total of 10000 acres of watering area, plus 100 acres of grazing area for each rhinoceros. if the number of rhinoceroses is expected to increase by 10 percent, how many 1000 acres should the preserve have in order to provide for the increased population?
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[Assistant] 890

[User]
at a certain organisation, the number of male members went up by 14 % in the year 2001 from year 2000, and the number of females members went down by 6 % in the same time period. if the total membership at the organisation went up by 1.2 % from the year 2000 to 2001, what was the ratio of male members to female members in the year 2000?
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[Assistant] 4 : 7

[User]
maxwell leaves his home and walks toward brad's house at the same time that brad leaves his home and runs toward maxwell's house. if the distance between their homes is 50 kilometers, maxwell's walking speed is 4 km / h, and brad's running speed is 6 km / h. what is the distance traveled by maxwell when they meet in the middle?
Answer the question using a single word or phrase.

[Assistant] 20


[User]
a tourist does not have to pay tax on the first $ 600 of goods he purchases in country b, but does have to pay a 10 percent tax on the portion of the total value that is in excess of $ 600. what tax must be paid by a tourist if he buys goods with a total value of $ 1720?
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[Assistant] $ 112.00

[User]
a man is 37 years older than his son. in two years, his age will be twice the age of his son. the present age of this son is
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[Assistant] 35 years

[User]
what is the sum of the digits of integer k, if k = ( 10 ^ 40 - 79 )
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[Assistant] 345

[User]
by investing in 16 % stock at 64, one earns rs. 1500. the investment made is :
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[Assistant] 4445

[User]
if 80 percent of 600 is 50 percent of x, then x =?
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[Assistant] 960


[User]
the average ( arithmetic mean ) of the even integers from 0 to 80 inclusive is how much greater than the average ( arithmetic mean ) of the even integers from 0 to 40 inclusive?
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[Assistant] 20

[User]
the number of sailors on a ship is 80 % more than the number of officers. the ratio of sailors to officers would be
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[Assistant] 9 : 5

[User]
angelo and isabella are both salespersons. in any given week, angelo makes $ 550 in base salary plus 8 percent of the portion of his sales above $ 1,000 for that week. isabella makes 10 percent of her total sales for any given week. for what amount of weekly sales would angelo and isabella earn the same amount of money?
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[Assistant] 23,500

[User]
a small college reduced its faculty by approximately 20 percent to 195 professors. what was the original number of faculty members?
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[Assistant] 244

[User]
the arithmetic mean and standard deviation of a certain normal distribution are 15.5 and 1.5, respectively. what value is exactly 2 standard deviations less than the mean?
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[Assistant] 12.5


[User]
in a division sum, the divisor is 10 times the quotient and 5 times the remainder. if the remainder is 46, the dividend is
Answer the question using a single word or phrase.

[Assistant] 5336

[User]
in one alloy there is 12 % chromium while in another alloy it is 8 %. 15 kg of the first alloy was melted together with 40 kg of the second one to form a third alloy. find the percentage of chromium in the new alloy.
Answer the question using a single word or phrase.

[Assistant] 9.1 %

[User]
the owner of a furniture shop charges his customer 15 % more than the cost price. if a customer paid rs. 5750 for a computer table, then what was the cost price of the computer table?
Answer the question using a single word or phrase.

[Assistant] 5000

[User]
when positive integer n is divided by 5, the remainder is 1. when n is divided by 7, the remainder is 3. what is the smallest positive integer k such that k + n is a multiple of 36.
Answer the question using a single word or phrase.

[Assistant] 5

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

[Assistant] 36


[User]
when positive integer n is divided by positive integer j, the remainder is 5. if n / j = 105.20, what is value of j?
Answer the question using a single word or phrase.

[Assistant] 25

[User]
the speed at which a man can row a boat in still water is 9.5 kmph. if he rows downstream, where the speed of current is 8.5 kmph, what time will he take to cover 45.5 metres?
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[Assistant] 9.1 seconds

[User]
in what time will a railway train 65 m long moving at the rate of 36 kmph pass a telegraph post on its way?
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[Assistant] 6.5 sec

[User]
of 70 players on a football team, 46 are throwers. the rest of the team is divided so one third are left - handed and the rest are right handed. assuming that all throwers are right handed, how many right - handed players are there total?
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[Assistant] 62

[User]
how many minutes will it take for a car that is traveling at a constant rate of 9 miles per hour to travel a distance of 106 yards? ( 1 mile = 1,160 yards )
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[Assistant] 3.61


[User]
a man started driving at a constant speed, from the site of a blast, the moment he heard the blast. he heard a second blast after a time of 30 mins and 20 seconds. if the second blast occurred exactly 30 mins after the first, how many meters was he from the site when he heard the second blast? ( speed of sound = 330 m / s )
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[Assistant] 6600

[User]
in the set of positive integers from 1 to 70, what is the sum of all the odd multiples of 5?
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[Assistant] 245

[User]
what is the remainder when 1014 * 1047 * 1050 * 1053 is divided by 33?
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[Assistant] 6

[User]
a train 600 m long is running at a speed of 78 km / hr. if it crosses a tunnel in 1 min, then the length of the tunnel is?
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[Assistant] 700 m

[User]
walking at 3 / 4 of his usual place, a man reaches his office 20 minute late. find his usual time?
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[Assistant] 2 hr


[User]
if x and y are positive integers and 9 + x + y + xy = 23, what is the value of x + y?
Answer the question using a single word or phrase.

[Assistant] 6

[User]
a container holding 15 ounces of a solution that is 1 part alcohol to 2 parts water is added to a container holding 8 ounces of a solution that is 1 part alcohol to 3 parts water. what is the ratio of alcohol to water in the resulting solution?
Answer the question using a single word or phrase.

[Assistant] 7 : 16

[User]
3 cannons are firing at a target. if their individual probabilities to hit the target are 0.5, 0.2, and 0.3 respectively, what is the probability that none of the cannons will hit the target after one round of fire? prob. that all the cannons will hit the target =. 06 prob. that none of the cannons will hit = 1 -. 06 =. 94
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[Assistant] 0.28

[User]
if money is invested at r percent interest, compounded annually, the amount of investment will double in approximately 70 / r years. if pat's parents invested $ 5000 in a long term bond that pays 4 percent interest, compounded annually, what will be the approximate total amount of investment 36 years later, when pat is ready for college?
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[Assistant] $ 20000

[User]
2 / 5 of 3 / 7 of 23 / 11 of? = 64 × 3
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[Assistant] 616


[User]
the annual interest rate earned by an investment increased by 11 percent from last year to this year. if the annual interest rate earned by the investment this year was 22 percent, what was the annual interest rate last year?
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[Assistant] 20 %

[User]
if a randomly selected positive single digit multiple of 3 is multiplied by a randomly selected prime number less than 20, what is the probability that this product will be a multiple of 45?
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[Assistant] 1 / 24

[User]
if p ^ 2 – 13 p + 40 = h, and p is a positive integer between 1 and 10, inclusive, what is the probability that h < 0?
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[Assistant] 1 / 5

[User]
abcd is a square where ab = â ˆ š 4004. let x be a point on ab and y be a point on cd such that ax = cy. compute the area of trapezoid axyd.
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[Assistant] 2002

[User]
two - third of a positive number and 16 / 216 of its reciprocal are equal. the number is :
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[Assistant] 1 / 3


[User]
if x < y < z and y - x > 9, where x is an even integer and y and z are odd integers, what is the least possible value of z - x?
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[Assistant] 13

[User]
in a certain business school class, p students are accounting majors, q students are finance majors, r students are marketing majors, and s students are strategy majors. if pqrs = 1365, and if 1 < p < q < r < s, how many students in the class are marketing majors?
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[Assistant] 7

[User]
if x = 8 and y = − 2, what is the value of ( x − 2 y ) ^ y?
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[Assistant] 0.007

[User]
a train running at the speed of 60 km / hr crosses a pole in 5 seconds. find the length of the train.
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[Assistant] 83.33

[User]
on a purchase of $ 118, a store offered a payment plan consisting of a $ 18 down payment and 12 monthly payments of $ 10 each. what percent of the purchase price, to the nearest tenth of a percent, did the customer pay in interest by using this plan?
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[Assistant] 15.3 %


[User]
if 70 honey bees make 70 grams of honey in 70 days, then 1 honey bee will make 1 gram of honey in how many days?
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[Assistant] 70

[User]
3 times the first of 3 consecutive odd integers is 3 more than twice the third. the third integer is?
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[Assistant] 15

[User]
two trains, each 100 m long, moving in opposite directions, cross other in 10 sec. if one is moving twice as fast the other, then the speed of the faster train is?
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[Assistant] 48 km / hr

[User]
if a certain number is divided by 9, the quotient, dividend, and divisor, added together, will amount to 69. what is the number?
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[Assistant] 54

[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 b get in a profit of rs. 2400?
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[Assistant] s. 600


[User]
if 10 litres of an oil of rs. 50 per litres be mixed with 5 litres of another oil of rs. 66 per litre then what is the rate of mixed oil per litre?
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[Assistant] rs. 55.33

[User]
if the price of a book is first decreased by 25 % and then increased by 20 %, then the decrease in the price will be?
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[Assistant] 10 %

[User]
the average weight of 8 people increases by 2.5 kg when a new person comes in place of one of them weighing 35 kg. what is the weight of the new person?
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[Assistant] 55 kg

[User]
from an island, it is possible to reach the mainland by either ferry p or ferry q. ferry p travels for 2 hours at 8 kilometers per hour, while ferry q takes a route that is three times longer. if ferry p is slower than ferry q by 4 kilometers per hour, how many hours longer is the journey of ferry q compared with the journey of ferry p?
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[Assistant] 2

[User]
a car takes 6 hours to cover a distance of 324 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] 36 kmph


[User]
in a renowned city, the average birth rate is 4 people every two seconds and the death rate is 2 people every two seconds. estimate the size of the population net increase that occurs in one day.
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[Assistant] 86,400

[User]
steve traveled the first 5 hours of his journey at 40 mph and the last 3 hours of his journey at 80 mph. what is his average speed of travel for the entire journey?
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[Assistant] 88 mph

[User]
if circles x and y have the same area and circle x has a circumference of 20 π, half of the radius of circle y is :
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[Assistant] 5

[User]
what is theleast number should be added to 1056, so the sum of the number is completely divisible by 23?
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[Assistant] 23

[User]
ravi and sunil are partners in a business. ravi invests rs. 20,000 for 8 months and sunil invested rs. 16000 for 10 months then after one year ratio of their profits will be
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[Assistant] 1 : 1


[User]
a is two years older than b who is twice as old as c. if the total of the ages of a, b and c be 22, the how old is b?
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[Assistant] 8

[User]
in the fifth grade at parkway elementary school there are 420 students. 312 students are boys and 250 students are playing soccer. 78 % of the students that play soccer are boys. how many girl student are in parkway that is not playing soccer?
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[Assistant] 53

[User]
the price of 3 pants and 6 t - shirts is rs. 1500. with the same money one can buy 1 pant and 12 t - shirts. if one wants to buy 8 t - shirts, how much shall she have to pay?
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[Assistant] 800

[User]
rs. 770 were divided among a, b, c in such a way that a had rs. 40 more than b and c had rs 30 more than a. how much was b â € ™ s share?
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[Assistant] rs. 290

[User]
what is the greatest of 3 consecutive integers whose sum is 39?
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[Assistant] 14


[User]
john and jacob set out together on bicycle traveling at 15 and 9 miles per hour, respectively. after 40 minutes, john stops to fix a flat tire. if it takes john one hour to fix the flat tire and jacob continues to ride during this time, how many hours will it take john to catch up to jacob assuming he resumes his ride at 15 miles per hour? ( consider john's deceleration / acceleration before / after the flat to be negligible )
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[Assistant] 1 1 / 4

[User]
23 × 19 ×? ÷ 19 ÷ 17 = 115
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[Assistant] 85

[User]
a city with a population of 97500 is to be divided into 6 voting districts, and no district is to have a population that is more than 10 percent greater than the population of any other district. what is the minimum possible population that the least populated district could have?
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[Assistant] 15,000

[User]
pipe a can fill a tank in 10 hr, pipe b in 20 hr and pipe c in 40 hr. if all the pipes are open in how many hours will tank be filled?
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[Assistant] 17 min

[User]
a 40 kg metal bar made of alloy of tin and silver lost 4 kg of its weight in the water. 10 kg of tin loses 1.375 kg in the water ; 5 kg of silver loses 0.375 kg. what is the ratio of tin to silver in the bar?
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[Assistant] 2 / 3


[User]
in a sports club with 28 members, 17 play badminton and 19 play tennis and 2 do not play either. how many members play both badminton and tennis?
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[Assistant] 10

[User]
village x has a population of 74000, which is decreasing at the rate of 1200 per year. village y has a population of 42000, which is increasing at the rate of 800 per year. in how many years will the population of the two villages be equal?
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[Assistant] 16

[User]
the radius of a semi circle is 6.5 cm then its perimeter is?
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[Assistant] 33.4

[User]
a number x is 3 times another number y. the percentage that y is less than x is
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[Assistant] 66.6 %

[User]
two trains of length 100 m and 200 m are 100 m apart. they start moving towards each other on parallel tracks, at speeds 54 kmph and 36 kmph. in how much time will the trains cross each other?
Answer the question using a single word or phrase.

[Assistant] 16 sec


[User]
if a car had traveled 20 kmh faster than it actually did, the trip would have lasted 30 minutes less. if the car went exactly 60 km, at what speed did it travel?
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[Assistant] 40 kmh

[User]
a student has to obtain 33 % of the total marks to pass. he got 59 marks and failed by 40 marks. the maximum marks are?
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[Assistant] 300

[User]
the ratio of the volumes of two cubes is 1728 : 1331. what is the ratio of their total surface areas?
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[Assistant] 144 : 121

[User]
the amount of principal rs. 8000 at compound interest at the ratio of 5 % p. a. for 4 years is
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[Assistant] s. 9724

[User]
there are 6 working days in a regular week and for each day, the working hours are 10. a man earns rs. 2.10 per hour for regular work and rs. 4.20 per hour for overtime. if he earns rs. 525 in 4 weeks, how many hours did he work?
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[Assistant] 245


[User]
due to construction, the speed limit along an 7 - mile section of highway is reduced from 55 miles per hour to 35 miles per hour. approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit?
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[Assistant] 4

[User]
if the price of gasoline increases by 25 % and a driver intends to spend only 5 % more on gasoline, by how much percent should the driver reduce the quantity of gasoline that he buys?
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[Assistant] 16 %

[User]
the dimensions of a room are 25 feet * 15 feet * 12 feet. what is the cost of white washing the four walls of the room at rs. 9 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each?
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[Assistant] 8154

[User]
d and e are two points respectively on sides ab and ac of triangle abc such that de is parallel to bc. if the ratio of area of triangle ade to that of the trapezium decb is 25 : 144 and bc = 13 cm, then find the length of de.
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[Assistant] 5

[User]
there are 24 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] 650


[User]
jaclyn buys $ 50 000 worth of debentures in a company. she earns 9.5 % p. a. simple interest, paid to her quarterly ( that is, every 3 months ). if the agreed period of the debenture was 18 months : calculate the amount of interest jaclyn will earn for each quarter
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[Assistant] 1187.5

[User]
x does a work in 30 days. y does the same work in 45 days. in how many days they together will do the same work?
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[Assistant] 18

[User]
how many positive integer solutions does the equation 2 x + 3 y = 100 have?
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[Assistant] 16

[User]
if 3 : 7 : : x : 21, then find the value of x
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[Assistant] 9

[User]
how many pieces of 0.42 meteres can be cut from a rod 36.5 meteres long
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[Assistant] 86


[User]
if the cost price is 94 % of sp then what is the profit %
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[Assistant] 6.25 %

[User]
if a is a positive integer, and if the units digit of a ^ 2 is 1 and the units digit of ( a + 1 ) ^ 2 is 0, what is the units digit of ( a + 2 ) ^ 2?
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[Assistant] 1.

[User]
a person saved $ 10 in buying an item on sale. if he spent $ 100 for the item, approximately how much percent he saved in the transaction?
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[Assistant] 10 %

[User]
two family reunions are happening at the same hotel, the oates reunion and the yellow reunion. all 100 guests at the hotel attend at least one of the reunions. if 42 people attend the oates reunion and 65 people attend the yellow reunion, how many people attend both reunions?
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[Assistant] 7

[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 200 newborn members of the population, approximately how many would be expected to survive the first 3 months of life?
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[Assistant] 146


[User]
the surface of a cube is 150 sq cm. find its volume?
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[Assistant] 125 cc

[User]
two numbers are in the ratio of 5 : 7. if 7 is subtracted from each number, they are in the ratio of 2 : 3. what are the two numbers?
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[Assistant] 35, 49

[User]
a diagonal of a polygon is an segment between two non - adjacent vertices of the polygon. how many diagonals does a regular 40 - sided polygon have?
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[Assistant] 740

[User]
in covering a distance of 24 km, abhay takes 2 hours more than sameer. if abhay doubles his speed, then he would take 1 hour less than sameer. abhay's speed is :
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[Assistant] 4 kmph

[User]
20 workers can finish a work in 30 days. after how many days should 5 workers leave the job so the work is completed in 35 days?
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[Assistant] 15


[User]
a glass was filled with 10 ounces of water, and 0.02 ounce of the water evaporated each day during a 30 - day period. what percent of the original amount of water evaporated during this period?
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[Assistant] 6 %

[User]
a train 284 m in length crosses a telegraph post in 18 seconds. the speed of the train is?
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[Assistant] 57 kmph

[User]
roy is now 8 years older than julia and half of that amount older than kelly. if in 2 years, roy will be 3 times as old as julia, then in 2 years what would be roy ’ s age multiplied by kelly ’ s age?
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[Assistant] 96

[User]
a mixture of 120 liters of wine and water contains 20 % water. how much more water should be added so that water becomes 25 % of the new mixture?
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[Assistant] 8 liters

[User]
5 friends visited a fruit stall, and everyone decided to contribute equally to the total bill of $ 100. if one of the friends had a coupon for 6 % off the total bill, and if each friend still contributed equally after the coupon was applied to the bill, how much did each friend pay?
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[Assistant] 18.8


[User]
a certain country is divided into 5 provinces. each province consists entirely of progressives and traditionalists. if each province contains the same number of traditionalists and the number of traditionalists in any given province is 1 / 15 the total number of progressives in the entire country, what fraction of the country is traditionalist?
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[Assistant] 3 / 4

[User]
an amount at compound interest sums to rs. 17640 / - in 2 years and to rs. 22050 / - in 3 years at the same rate of interest. find the rate percentage?
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[Assistant] 25 %

[User]
which number can we add to 859722 to get a number exactly divisible by 456?
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[Assistant] 294

[User]
find the l. c. m of 12, 25, 24 and 20.
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[Assistant] 600

[User]
walking with 4 / 5 of my usual speed, i miss the bus by 3 minutes. what is my usual time?
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[Assistant] 12 min


[User]
a certain quantity of 70 % solution is replaced with 25 % solution such that the new concentration is 35 %. what is the fraction of the solution that was replaced?
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[Assistant] 7 / 9

[User]
f 1 ( x ) f 1 ( x ) = 2 x - 1 and fn ( x ) = f 1 ( fn − 1 ( x ) ) fn ( x ) = f 1 ( fn − 1 ( x ) ) for n ≥ ≥ 2. find f 5 ( 2 )
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[Assistant] 7

[User]
of 60 children, 30 are happy, 10 are sad, and 20 are neither happy nor sad. there are 22 boys and 38 girls. if there are 6 happy boys and 4 sad girls, how many boys are neither happy nor sad?
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[Assistant] 10

[User]
real - estate salesman z is selling a house at a 10 percent discount from its retail price. real - estate salesman x vows to match this price, and then offers an additional 10 percent discount. real - estate salesman y decides to average the prices of salesmen z and x, then offer an additional 10 percent discount. salesman y's final price is what fraction of salesman x's final price?
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[Assistant] 77 / 81

[User]
find the distance covered by a man walking for 42 min at a speed of 10 km / hr?
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[Assistant] 7 km


[User]
the output of a factory was increased by 15 % to keep up with rising demand. to handle the holiday rush, this new output was increased by 20 %. by approximately what percent would the output now have to be decreased in order to restore the original output?
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[Assistant] 27 %

[User]
in a sample of associates at a law firm, 30 percent are second - year associates, and 60 percent are not first - year associates. what percentage of the associates at the law firm have been there for more than two years?
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[Assistant] 30 %

[User]
in a company of 160 employees, 90 are females. a total of 80 employees have advanced degrees and the rest have a college degree only. if 40 employees are males with college degree only, how many employees are females with advanced degrees?
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[Assistant] 50

[User]
in business, a and c invested amounts in the ratio 3 : 2, whereas the ratio between amounts invested by a and b was 3 : 1, if rs 60000 was their profit, how much amount did c receive.
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[Assistant] 20000

[User]
the average ( arithmetic mean ) of 20, 40, and 60 is 5 more than the average of 10, 50, and what number?
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[Assistant] 45


[User]
an old man distributed all the gold coins he had to his two sons into two different numbers such that the difference between the squares of the two numbers is 49 times the difference between the two numbers. how many coins did the old man have?
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[Assistant] 49

[User]
how many times will the digit 4 be written when listing the integers from 1 to 1000?
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[Assistant] 300

[User]
jonathan can type a 20 page document in 50 minutes, susan can type it in 30 minutes, and jack can type it in 24 minutes. working together, how much time will it take them to type the same document?
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[Assistant] 11 minutes

[User]
in a certain village, 150 litres of water are required per household per month. at this rate, if there are 10 households in the village, how long ( in months ) will 6000 litres of water last?
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[Assistant] 4

[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 20 cm 2. find the lengths of all sides.
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[Assistant] 11 and 8


[User]
a rope of which a calf is tied is increased from 12 m to 18 m, how much additional grassy ground shall it graze?
Answer the question using a single word or phrase.

[Assistant] 565.7

[User]
find a two digit number, given that the sum of the digits is 12 and the difference of the digits is 2.?
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[Assistant] 75

[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 24 more photos than claire. how many photos has claire taken?
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[Assistant] 12

[User]
what is 25 % of 4 / 12 of 520?
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[Assistant] 43

[User]
42 persons can repair a road in 12 days, working 5 hours a day. in how many days will 30 persons, working 6 hours a day, complete the work?
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[Assistant] 14


[User]
calculate the circumference of a circular field whose radius is 6 centimeters.
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[Assistant] 12 π cm

[User]
for an agricultural experiment, 300 seeds were planted in one plot and 200 were planted in a second plot. if exactly 25 percent of the seeds in the first plot germinated and exactly 30 percent of the seeds in the second plot germinated, what percent of the total number of seeds germinated?
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[Assistant] 27 %

[User]
if x : y = 1 : 4, then find the value of ( 7 x + 3 y ) : ( 2 x + y )
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[Assistant] 19 : 6

[User]
ages of two persons differ by 24 years. if 6 year ago, the elder one be 3 times as old the younger one, find their present age
Answer the question using a single word or phrase.

[Assistant] 18,42

[User]
john want to buy a $ 100 trouser at the store, but he think it â € ™ s too expensive. finally, it goes on sale for $ 55. what is the percent decrease?
Answer the question using a single word or phrase.

[Assistant] 45 %


[User]
in a garden, 26 trees are planted at equal distances along a yard 800 metres long, one tree being at each end of the yard. what is the distance between two consecutive trees?
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[Assistant] 32

[User]
the average age of a, b and c is 28 years. if the average age of a and c is 29 years, what is the age of b in years?
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[Assistant] 26

[User]
evaluate : 986 x 237 + 986 x 863
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[Assistant] 986000

[User]
a reduction of 30 % in the price of oil enables a house wife to obtain 3 kgs more for rs. 700, what is the reduced price for kg?
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[Assistant] 70

[User]
a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many f ways can the test be completed if every question is unanswered?
Answer the question using a single word or phrase.

[Assistant] 625


[User]
two vessels p and q contain 62.5 % and 87.5 % of alcohol respectively. if 8 litres from vessel p is mixed with 4 litres from vessel q, the ratio of alcohol and water in the resulting mixture is?
Answer the question using a single word or phrase.

[Assistant] 17 : 7

[User]
mariah has decided to hire three workers. to determine whom she will hire, she has selected a group of 10 candidates. she plans to have one working interview with 3 of the 10 candidates every day to see how well they work together. how many days will it take her to have working interviews with all the different combinations of job candidates?
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[Assistant] 120

[User]
ratio between rahul and deepak is 4 : 3, after 6 years rahul age will be 34 years. what is deepak present age?
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[Assistant] 21

[User]
a retailer bought a machine at a wholesale price of $ 99 and later on sold it after a 10 % discount of the retail price. if the retailer made a profit equivalent to 20 % of the whole price, what is the retail price of the machine?
Answer the question using a single word or phrase.

[Assistant] 132

[User]
a store reported total sales of $ 480 million for february of this year. if the total sales for the same month last year was $ 320 million, approximately what was the percent increase in sales?
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[Assistant] 50 %


[User]
a cricket bat is sold for $ 850, making a profit of $ 215. the profit percentage would be
Answer the question using a single word or phrase.

[Assistant] 34 %

[User]
arun purchased 30 kg of wheat at the rate of rs. 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg. he mixed the two and sold the mixture. approximately what price per kg should be sell the mixture to make 35 % profit?
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[Assistant] 17.01

[User]
how many times are the hands of a clock at right angle in 2 days?
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[Assistant] 88

[User]
a cyclist rides a bicycle 8 km at an average speed of 10 km / hr and again travels 10 km at an average speed of 8 km / hr. what is the average speed for the entire trip?
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[Assistant] 8.78

[User]
find the value of 72516 x 9999 = m?
Answer the question using a single word or phrase.

[Assistant] 725087484


[User]
an auction house charges a commission of 25 % on the first $ 50,000 of the sale price of an item, plus 10 % on the amount of of the sale price in excess of $ 50,000. what was the price of a painting for which the house charged a total commission of $ 24,000?
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[Assistant] $ 165,000

[User]
a meal cost $ 35.50 adn there was no tax. if the tip was more than 15 pc but less than 25 pc of the price, then the total amount paid should be :
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[Assistant] 41 - 44

[User]
the sum of the even numbers between 1 and n is 95 * 96, where n is an odd number, then n =?
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[Assistant] 191

[User]
the present ratio of students to teachers at a certain school is 50 to 1. if the student enrollment were to increase by 50 students and the number of teachers were to increase by 5, the ratio of students to teachers would then be 25 to 1. what is the present number of teachers?
Answer the question using a single word or phrase.

[Assistant] 3

[User]
julie decided to save a certain amount of her monthly salary each month and her salary was unchanged from month to month. if julie's savings by the end of the year from these monthly savings were 4 times the amount she spent per month, what should be the fraction of her salary that she spent each month?
Answer the question using a single word or phrase.

[Assistant] 3 / 4


[User]
the function f ( n ) is defined as the product of all the consecutive positive integers between 2 and n ^ 2, inclusive, whereas the function g ( n ) is defined as the product of the squares of all the consecutive positive integers between 1 and n, inclusive. the exponent on 2 in the prime factorization of f ( 3 ) / g ( 3 ) is
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[Assistant] 3

[User]
calculate the amount that an investor needs to be invest to earn $ 441 in interest in 12 months if the investor plans to invest x dollars in a savings account that pays interest at an annual rate of 7 % compounded semi - annually?
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[Assistant] 6200

[User]
how many positive integers less than 6,000 are there in which the sum of the digits equals 5?
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[Assistant] 56

[User]
the ratio between the length and the breadth of a rectangular park is 3 : 1. if a man cycling along the boundary of the park at the speed of 12 km / hr completes one round in 8 min, then the area of the park ( in sq. m ) is?
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[Assistant] 120000 m

[User]
the average ( arithmetic mean ) of 8 numbers is 8. if 4 is added from each of 5 of the numbers, what is the new average?
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[Assistant] 10.5


[User]
list k consists of 10 consecutive integers. if - 3 is the least integer in list k, what is the range of the positive integers in list k?
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[Assistant] 5

[User]
a shopkeeper has 280 kg of apples. he sells 40 % of these at 20 % profit and remaining 60 % at 30 % profit. find his % profit on total.
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[Assistant] 26 %

[User]
we run a business that rents out canoes and kayaks. a canoe rental costs $ 14 per day, and a kayak rental costs $ 15 dollars per day. one day, our business rents out 3 canoes for every 2 kayaks and receives a total of $ 288 in revenue. how many more canoes than kayaks were rented out?
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[Assistant] 4

[User]
positive integers from 1 to 45, inclusive are placed in 5 groups of 9 each. what is the highest possible average of the medians of these 5 groups?
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[Assistant] 31

[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 40 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] 28 %


[User]
a salt manufacturing company produced a total of 5000 tonnes of salt in january of a particular year. starting from february its production increased by 100 tonnes every month over the previous months until the end of the year. find its ave 66 rage daily production for that year?
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[Assistant] 185

[User]
the average weight of 9 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. what is the weight of the new person?
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[Assistant] 87.5

[User]
a hiker walked for 3 days. she walked 18 miles on the first day, walking 3 miles per hour. on the second day she walked for one less hour but she walked one mile per hour, faster than on the first day. on the third day she walked at 5 miles per hour for 3 hours. how many miles in total did she walk?
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[Assistant] 53

[User]
a can do a job in 15 days and b in 20 days. if they work on it together for 5 days, then the fraction of the work that is left is?
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[Assistant] 5 / 12

[User]
how many zeros are the end of 380!?
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[Assistant] 94


[User]
find the least number which when divided by 38 and 3 leaves a remainder of 1 in each case.
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[Assistant] 115

[User]
in a certain supermarket, a triangular display of cans is arranged in 10 rows, numbered 1 through 10 from top to bottom. each successively numbered row contains 3 more cans than the row immediately above it. if there are fewer than 150 cans in the entire display, how many cans are in the seventh row?
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[Assistant] 19

[User]
q ' = 3 q - 3, what is the value of ( 5 ' ) '?
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[Assistant] 132

[User]
a person can row at 9 kmph and still water. he takes 3 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] 16

[User]
the l. c. m of two numbers is 2310 and their h. c. f is 30. if one number is 210 the other is
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[Assistant] 330


[User]
in february wilson ’ s earnings were 40 percent of his family ’ s total income. in march wilson earned 25 percent less than in february. if the rest of his family ’ s income was the same in both months, then, in march, wilson ’ s earnings were approximately what percent w of his family ’ s total income?
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[Assistant] 33 %

[User]
a committee is reviewing a total of 20 x black - and - white films and 6 y color films for a festival. if the committee selects y / x % of the black - and - white films and all of the color films, what fraction r of the selected films are in color?
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[Assistant] 30 / 31

[User]
1234 + 123 + 12 + x = 1221. find the value of x.
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[Assistant] 148

[User]
in 110 m race, a covers the distance in 36 seconds and b in 45 seconds. in this race a beats b by :
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[Assistant] 22 m

[User]
at 1 : 00 pm, there were 10.0 grams of bacteria. the bacteria increased to x grams at 4 : 00 pm, and 16.9 grams at 7 : 00 pm. if the amount of bacteria present increased by the same fraction during each of the 3 - hour periods, how many grams of bacteria were present at 4 : 00 pm?
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[Assistant] 13.0


[User]
a certain tax rate is $ 65 per $ 100.00. what is the rate, expressed as a percent?
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[Assistant] 65 %

[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 27 kmph and 21 kmph respectively. when they meet, it is found that one train has traveled 60 km more than the other one. the distance between the two stations is?
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[Assistant] 576 km

[User]
what is the sum of the multiples of 4 between 53 and 145 inclusive?
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[Assistant] 2300

[User]
the simple interest on a certain sum of money at the rate of 4 % p. a. for 5 years is rs. 1680. at what rate of interest the same amount of interest can be received on the same sum after 4 years?
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[Assistant] 5 %

[User]
the edge of a cube is 6 a cm. find its surface?
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[Assistant] 216 a 2


[User]
if ( 1 / 2 ) ^ 25 ( 1 / 81 ) ^ k = 1 / 18 ^ 25, then k =
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[Assistant] 12.5

[User]
a high school has 400 students 1 / 2 attend the airthmetic club, 5 / 8 attend the biology club and 3 / 4 attend the chemistry club. 1 / 4 attend all 3 clubs. if every student attends at least one club how many students attend exactly 2 clubs.
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[Assistant] 150

[User]
180 metres long yard, 11 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] 18

[User]
a can do a work in 4 days. b can do the same work in 6 days. both a & b together will finish the work and they got $ 1000 from that work. find their shares?
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[Assistant] 600,400

[User]
if it is assumed that 70 percent of those who receive a questionnaire by mail will respond and 300 responses are needed, what is the minimum number of questionnaires that should be mailed?
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[Assistant] 428.5


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

[User]
a man can swim in still water at 1.5 km / h, but takes twice as long to swim upstream than downstream. the speed of the stream is?
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[Assistant] 0.5

[User]
by using the numbers 1, 2, 3, 7 and 9 only once, how many 5 digit numbers can be made that are divisible by 25?
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[Assistant] not possible

[User]
double of quarter of 5 percent written as a decimal is :
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[Assistant] 0.025

[User]
a car is purchased on hire - purchase. the cash price is $ 25 000 and the terms are a deposit of 10 % of the price, then the balance to be paid off over 60 equal monthly installments. interest is charged at 12 % p. a. what is the monthly installment?
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[Assistant] $ 600


[User]
the average salary of 15 people in the shipping department at a certain firm is $ 20,000. the salary of 5 of the employees is $ 25,000 each and the salary of 4 of the employees is $ 15,000 each. what is the average salary of the remaining employees?
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[Assistant] $ 19,100

[User]
a jar contains 5 black and 2 white balls. if you pick two balls at the same time, what's the probability that one ball is black and one is white?
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[Assistant] 5 / 21

[User]
there are 2 more women than there are men on a local co - ed softball team. if there are a total of 16 players on the team, what is the ratio of men to women?
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[Assistant] 7 / 9

[User]
the regular price per can of a certain brand of soda is $ 0.40. if the regular price per can is discounted 15 percent when the soda is purchased in 24 - can cases, what is the price of 100 cans of this brand of soda purchased in 24 - can cases?
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[Assistant] $ 34

[User]
a lady has fine gloves and hats in her closet - 18 blue, 32 red, and 25 yellow. the lights are out and it is totally dark. in spite of the darkness, she can make out the difference between a hat and a glove. she takes out an item out of the closet only if she is sure that if it is a glove. how many gloves must she take out to make sure she has a pair of each color?
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[Assistant] 60


[User]
a factory produces 4560 toys per week. if the workers at this factory work 4 days a week and if these workers make the same number of toys everyday, how many toys are produced each day?
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[Assistant] 1140 toys

[User]
the sum of four consecutive even numbers is 140. what would be the largest number?
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[Assistant] 38

[User]
a batsman makes a score of 82 runs in the 17 th inning and thus increases his averages by 3. what is his average after 17 th inning?
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[Assistant] 34

[User]
a polling company surveyed a certain country, and it found that 35 % of that country ’ s registered voters had an unfavorable impression of both of that state ’ s major political parties and that 20 % had a favorable impression only of party a. if one registered voter has a favorable impression of both parties for every two registered voters who have a favorable impression only of party b, then what percentage of the country ’ s registered voters have a favorable impression of both parties ( assuming that respondents to the poll were given a choice between favorable and unfavorable impressions only )?
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[Assistant] 45

[User]
the length of a rectangle is reduced by 30 %. by what % would the width have to be increased to maintain the original area?
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[Assistant] 42.8 %


[User]
every disk in a bag is either blue, yellow or green. the ratio of blue disks to yellow disks to green disks in this bag is 3 : 7 : 8. if the total number of disks in the bag is 54, how many more green disks than blue disks are in the bag?
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[Assistant] 15

[User]
what will be the fraction of 6 %
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[Assistant] 3 / 50

[User]
among 250 viewers interviewed who watch at least one of the 3 tv channels namely a, bc. 116 watch a, 127 watch c, while 107 watch b. if 90 watch exactly two channels. how many watch exactly one channel?
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[Assistant] 155

[User]
some of 50 % - intensity red paint is replaced with 25 % solution of red paint such that the new paint intensity is 30 %. what fraction of the original paint was replaced?
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[Assistant] 4 / 5

[User]
9 spheres of the same size are made from melting a solid cylinder of 8 cm diameter and 48 cm height. what is the diameter of each sphere?
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[Assistant] 8 cm


[User]
working simultaneously and independently at an identical constant rate, 6 machines of a certain type can produce a total of x units of product p in 5 days. how many of these machines, working simultaneously and independently at this constant rate, can produce a total of 4 x units of product p in 10 days?
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[Assistant] 12

[User]
for how many unique pairs of nonnegative integers { a, b } is the equation a ^ 2 - b ^ 2 = 220 true?
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[Assistant] 6

[User]
a boat goes 100 km downstream in 4 hours, and 75 km upstream in 15 hours. the speed of the stream is?
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[Assistant] 10

[User]
what is 10 - 8 + 6 - 4 +... + ( - 10 )?
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[Assistant] 0

[User]
a company has 15 managers and 75 associates. the 15 managers have an average salary of $ 60,000. the 75 associates have an average salary of $ 30,000. what is the average salary for the company?
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[Assistant] $ 35,000


[User]
along a road lie an odd number of stones placed at intervals of 10 m. these stones have to be assembled around the middle stone. a person can carry only one stone at a time. a man carried out the job starting with the stone in the middle, carrying stones in succession, thereby covering a distance of 4.8 km. then the number of stones is
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[Assistant] 31

[User]
the contents of two vessels containing copper and tin in the ratio 2 : 3 and 5 : 7 are mixed in the ratio 3 : 5. the resulting mixture will have copper and tin in the ratio?
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[Assistant] 197 : 283

[User]
a and b together can do a work in 8 days. a alone can do it in 12 days. what time b will take to do the work alone?
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[Assistant] 24 days

[User]
what is the unit ’ s digit of 7 ^ 4
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[Assistant] 1

[User]
x and y are positive integers. when x is divided by 15, the remainder is 2, and when x is divided by 10, the remainder is 7. when y is divided by 9, the remainder is 5, and when y is divided by 7, the remainder is 2. what is the least possible value of x * y?
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[Assistant] 391


[User]
what is the minimum percentage increase in the mean of set s { - 4, - 1, 0, 6, 9 } if its two smallest elements are replaced with two different primes?
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[Assistant] 100 %

[User]
marla starts running around a circular track at the same time nick starts walking around the same circular track. marla completes 20 laps around the track per hour and nick completes 10 laps around the track per hour. how many minutes after marla and nick begin moving will marla have completed 4 more laps around the track than nick?
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[Assistant] 24

[User]
in a renowned city, the average birth rate is 6 people every two seconds and the death rate is 3 people every two seconds. estimate the size of the population net increase that occurs in one day.
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[Assistant] 129,600

[User]
how many times in a day, are the hands of a clock in straight line but opposite in direction?
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[Assistant] 22

[User]
add 11 % of 36 and 12 % of 64.
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[Assistant] 11.5


[User]
a container holding 9 ounces of a solution that is 1 part alcohol to 2 parts water is added to a container holding 8 ounces of a solution that is 1 part alcohol to 3 parts water. what is the ratio of alcohol to water in the resulting solution?
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[Assistant] 5 : 12

[User]
if the ratio of apples to bananas is 3 to 2 and the ratio of bananas to cucumbers is 1 to 3, what is the ratio of apples to cucumbers?
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[Assistant] 1 : 2

[User]
if k and w are the dimensions of a rectangle that has area 60, and if k and w are integers such that k > w, what is the total number of possible values of k?
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[Assistant] six

[User]
a candidate appearing for an examination has to secure 42 % marks to pass paper i. but he secured only 60 marks and failed by 20 marks. what is the maximum mark for paper i?
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[Assistant] 190

[User]
the market value of a certain machine decreased by 30 percent of its purchase price each year. if the machine was purchased in 1982 for its market value of $ 8,000, what was its market value two years later?
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[Assistant] $ 3,200


[User]
the sum of the first 50 positive even integers is 2550. what is the sum of even integers from 102 to 200 inclusive?
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[Assistant] 7550

[User]
ratio between rahul and deepak is 4 : 3, after 22 years rahul age will be 26 years. what is deepak present age
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[Assistant] 3

[User]
which of the options is a two - digit number, which has a unit's digit that exceeds its 10's digit by 4 and the product of the given number and the sum of its digits is equal to 208.
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[Assistant] 26

[User]
2, 4, 6, 8, 10,...?
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[Assistant] 12

[User]
the hcf and lcm of two numbers m and n are respectively 5 and 210. if m + n = 75, then 1 / m + 1 / n is equal to
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[Assistant] 1 / 14


[User]
two trains are moving in the same direction at 54 kmph and 36 kmph. the faster train crosses a man in the slower train in 27 seconds. find the length of the faster train?
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[Assistant] 135

[User]
drum x is 1 / 2 full of oil and drum y, which has twice the capacity of drum x, is 1 / 4 full of oil. if all of the oil in drum x is poured into drum y, then drum y will be filled to what capacity?
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[Assistant] 1 / 2

[User]
the ratio of three numbers is 1 : 2 : 3 and the sum of their squares is 2744. the sum of the numbers is?
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[Assistant] 14

[User]
0.6 of a number is equal to 0.08 of another number. the ratio of the numbers will be
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[Assistant] 2 : 15

[User]
if a coin is flipped, the probability that the coin will land heads is 1 / 2. if the coin is flipped 6 times, what is the probability that it will land heads up on all 6 flips?
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[Assistant] 1 / 64


[User]
a train 660 m long is running at a speed of 78 km / hr. if it crosses a tunnel in 1 min, then the length of the tunnel is?
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[Assistant] 640

[User]
two goods trains each 850 m long are running in opposite directions on parallel tracks. their speeds are 45 km / hr and 30 km / hr respectively. find the time taken by the slower train to pass the driver of the faster one?
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[Assistant] 81.6 sec

[User]
the owner of a furniture shop charges his customer 20 % more than the cost price. if a customer paid rs. 8400 for a computer table, then what was the cost price of the computer table?
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[Assistant] rs. 7000

[User]
what is 92 % of 3 / 4?
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[Assistant] 0.69

[User]
the profit earned by selling an article for $ 832 is equal to the loss incurred when the same article is sold for $ 448. what should be the sale price for making 30 % profit?
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[Assistant] $ 832


[User]
a 140 meter long train crosses a man standing on the platform in 6 sec. what is the speed of the train?
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[Assistant] 84

[User]
a certain manufacturer of cake, muffin, and bread mixes has 100 buyers, of whom 50 purchases cake mix, 40 purchase muffin mix, and 18 purchase both cake mix and muffin mix. if a buyer is to be selected at random from the 100 buyers, what is the probability that the buyer selected will be one who purchases neither cake mix nor muffin mix?
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[Assistant] 7 / 25

[User]
if 11.25 m of a uniform steel rod weighs 42.75 kg. what will be the weight of 5 m of the same rod?
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[Assistant] 19 kg

[User]
find the product of the local value and absolute value of 6 in 564823
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[Assistant] 360000

[User]
find the compound interest on $ 100000 in 2 years at 4 % per annum, the interest being compounded half - yearly?
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[Assistant] $ 8243.21


[User]
rs. 2500 is divided into two parts such that if one part be put out at 5 % simple interest and the other at 6 %, the yearly annual income may be rs. 135. how much was lent at 5 %?
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[Assistant] 1500

[User]
( 0.66 ) ( power 3 ) - ( 0.1 ) ( power 3 ) / ( 0.66 ) ( power 2 ) + 0.066 + ( 0.1 ) ( power 2 ) is :
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[Assistant] 0.56

[User]
a trader cheats both his supplier and customer by using faulty weights. when he buys from the supplier, he takes 10 % more than the indicated weight. when he sells to his customer, he gives the customer a weight such that 50 % of that is added to the weight, the weight claimed by the trader is obtained. if he charges the cost price of the weight that he claims, find his profit percentage.
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[Assistant] 65 %

[User]
when the no. 7 y 86038 is exactly divisible by 11, then the smallest whole no. in place of y?
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[Assistant] 3

[User]
set i consists of integers { 3, - 8, y, 19, - 6 } and set b consists of integers { k, - 3, 0, 16, - 5, 9 }. number l represents the median of set i, number m represents mode of set b and number z = l ^ m. if y is an integer greater than 21, for what value of k will z be a divisor of 26?
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[Assistant] 0


[User]
a certain car can travel 40 kilometers on a liter of fuel. if the fuel tank ’ s contents decrease by 3.9 gallons over a period of 5.7 hours as the car moves at a constant speed, how fast is the car moving, in miles per hour? ( 1 gallon = 3.8 liters ; 1 mile = 1.6 kilometers )
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[Assistant] 65

[User]
each side of a rectangle is increased by 100 %. by what percentage does the area increase?
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[Assistant] 300 %

[User]
the average monthly salary of 20 employees in an organisation is rs. 1300. if the manager's salary is added, then the average salary increases by rs. 100. what is the manager's monthly salary?
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[Assistant] 3400

[User]
convert 2.0 hectares in ares
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[Assistant] 200 ares.

[User]
seller selling an apple for rs. 19, a seller loses 1 / 6 th of what it costs him. the cp of the apple is?
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[Assistant] 20


[User]
what is the difference between the largest and the smallest number written with 7, 7, 0, 7?
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[Assistant] 693

[User]
if a certain toy store's revenue in november was 2 / 5 of its revenue in december and its revenue in january was 1 / 3 of its revenue in november, then the store's revenue in december was how many times the average ( arithmetic mean ) of its revenues in november and january?
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[Assistant] 15 / 4

[User]
a man bring 2 cats to his home to eliminate all the mice. they do a half of the work in 5 days, then the man brings 3 more cats. if they hunt at the same rate, how many days will take to hunt all the mice, since the first day?
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[Assistant] 7 days

[User]
a sum of money lent out at s. i. amounts to rs. 720 after 2 years and to rs. 1020 after a further period of 5 years. the sum is?
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[Assistant] 600

[User]
there are 15 members in a family. it takes 180 days for a women to complete the work, however man completes in 120 days. they take 17 days to complete the work if men work on alternate days and women work every third day. if all of them started together on the 1 st day, then how many women are there in the family
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[Assistant] 3


[User]
how many integers between 1000 and 10000 have no digits other than 4, 5 or 6?
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[Assistant] 81

[User]
john completes a piece of work in 8 days, rose completes the same work in 16 days. if both of them work together, then the number of days required to complete the work is?
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[Assistant] 5.33 days

[User]
a can complete a project in 20 days and b can complete the same project in 30 days. if a and b start working on the project together and b quits 5 days before the project is completed, in how many days total will the project be completed?
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[Assistant] 14

[User]
how long does a train 140 m long running at the speed of 72 km / hr takes to cross a bridge 132 m length?
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[Assistant] 13.6 sec

[User]
in kaya's teacher's desk there are 10 pink highlighters, 15 yellow highlighters, and 8 blue highlighters. how many highlighters are there in all?
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[Assistant] 33


[User]
income and expenditure of a person are in the ratio 9 : 8. if the income of the person is rs. 18000, then find his savings?
Answer the question using a single word or phrase.

[Assistant] rs. 2000

[User]
a gambler has won 40 % of his 40 poker games for the week so far. if, all of a sudden, his luck changes and he begins winning 80 % of the time, how many more games must he play to end up winning 60 % of all his games for the week?
Answer the question using a single word or phrase.

[Assistant] 40

[User]
x, y, and z are consecutive numbers and x > y > z. also, 2 x + 3 y + 3 z = 5 y + 8. what is the value of z?
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[Assistant] 2

[User]
in the coordinate plane, points ( x, 6 ) and ( 10, y ) are on line k. if line k passes through the origin and has slope 1 / 2, then x * y =
Answer the question using a single word or phrase.

[Assistant] 60

[User]
a vessel of capacity 3 litre has 25 % of alcohol and another vessel of capacity 5 litre had 40 % alcohol. the total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water. what is the new concentration of mixture?
Answer the question using a single word or phrase.

[Assistant] 27.5 %.


[User]
a = { 20, 1, - 3, 6, - 8 } b = { - 1, 2, - 4, 7, - 620 } if a is a number that is randomly selected from set a, and b is a number that is randomly selected from set b, what is the probability that ab > 0?
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[Assistant] 5 / 12

[User]
if x is 40 percent greater than 88, then x =
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[Assistant] 123.2

[User]
the perimeter of an isosceles right triangle is 4 + 4 sq rt 2. what is the length of the hypotenuse of the triangle?
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[Assistant] 2.82

[User]
how many different positive integers are factors of 36?
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[Assistant] 9

[User]
the list price of an article is rs. 65. a customer pays rs. 57.33 for it. he was given two successive discounts, one of them being 10 %. the other discount is?
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[Assistant] 2 %


[User]
the supplementary of an angle is thrice its complimentary. find the angle.
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[Assistant] 45

[User]
9 log 9 ( 2 ) =?
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[Assistant] 2

[User]
there are 2 vessels a & b containing 25 liters each of pure milk and pure water respectively. 5 liters of milk from a is taken and poured into b, then 6 liters of mixture from b is taken and poured in a. what is ratio of water a and b respectively.
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[Assistant] 1 : 4

[User]
tim and é lan are 150 miles away from one another. they are starting to move towards each other simultaneously, tim at a speed of 10 mph and é lan at a speed of 5 mph. if every hour they double their speeds, what is the distance that tim will pass until he meets é lan?
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[Assistant] 100 miles.

[User]
16 boys or 24 girls can construct the wall in 6 days. the number of days that 8 boys and 4 girls will take to construct?
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[Assistant] 9 days


[User]
30 pens and 75 pencils were purchased for 630. if the average price of a pencil was 2.00, find the average price of a pen.
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[Assistant] 16

[User]
a tank contains 10,000 gallons of a solution that is 5 percent sodium chloride by volume. if 1,600 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride?
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[Assistant] 5.95 %

[User]
find the cost of fencing around a circular field of diameter 34 m at the rate of rs. 2 a meter?
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[Assistant] 212

[User]
a man covered a certain distance at some speed. if he had moved 3 kmph faster, he would have taken 40 minutes less. if he had moved 2 kmph slower, he would have taken 40 minutes more. what is the the distance in km?
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[Assistant] 40

[User]
if x + y = 280, x - y = 200, for integers of x and y, y =?
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[Assistant] 240


[User]
there are 10 students named alphabetically from a to j. what is the probability that a and d do not sit together if all 10 sit around a circular table?
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[Assistant] 7 / 9

[User]
a pipe can empty 2 / 3 rd of a cistern in 10 mins. in 8 mins, what part of the cistern will be empty?
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[Assistant] 8 / 15

[User]
if $ 10 be allowed as true discount on a bill of $ 110 due at the end of a certain time, then the discount allowed on the same sum due at the end of double the time is :
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[Assistant] $ 18.33

[User]
if you multiply two integers together and then add 4, the result is 40. which of the following could not be the sum of the two numbers?
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[Assistant] 18

[User]
a train 460 m long is running at a speed of 45 km / hr. in what time will it pass a bridge 140 m long?
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[Assistant] 48


[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 45 kg. what might be the weight of the new person?
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[Assistant] 65 kg

[User]
a shopkeeper loses 15 %, if an article is sold for rs. 187. what should be the selling price of the article to gain 20 %?
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[Assistant] s. 264

[User]
if 9 a - b = 10 b + 65 = - 12 b - 2 a, what is the value of 11 a + 11 b?
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[Assistant] 0

[User]
find the average of all numbers between 1 and 76 which are divisible by 5
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[Assistant] 40

[User]
a cricketer makes a score of 134 runs in the 22 nd inning and thus increases his average by 3.5. find his average after 22 nd inning.
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[Assistant] 60.5


[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 30 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] 24 percent

[User]
in a certain brick wall, each row of bricks above the bottom row contains one less brick than the row just below it. if there are 6 rows in all and a total of 135 bricks in the wall, how many bricks does the bottom row contain?
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[Assistant] 20

[User]
the average marks of a class of 25 students is 50 and that of another class of 40 students is 65. find the average marks of all the students?
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[Assistant] 59

[User]
how many plants will be there in a circular bed whose outer edge measure 34 cms, allowing 4 cm 2 for each plant?
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[Assistant] 23

[User]
a person buys an article at rs. 500. at what price should he sell the article so as to make a profit of 10 %?
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[Assistant] 550


[User]
a certain automobile company ’ s best - selling model is the speedster. the speedster, like all of their other models, comes in coupe and convertible styles. 2 / 3 of the current inventory is speedsters, of which 4 / 5 are convertibles. if there are 60 vehicles that are not speedsters, how many speedster convertibles are there?
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[Assistant] 96

[User]
a bag of potatoes weighs 12 lbs divided by half of its weight. how much does the bag of potatoes weight?
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[Assistant] 12 lb

[User]
the price of 80 apples is equal to that of 120 oranges. the price of 60 apples and 75 oranges together is rs. 1320. the total price of 25 apples and 40 oranges is
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[Assistant] 620

[User]
two vessels a and b contain spirit and water in the ratio 5 : 2 and 7 : 6 respectively. find the ratio in which these mixture be mixed to obtain a new mixture in vessel c containing spirit and water in the ration 8 : 5?
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[Assistant] 7 : 9

[User]
a scale 7 ft. 6 inches long is divided into 5 equal parts. find the length of each part.
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[Assistant] 18 inches


[User]
having received his weekly allowance, a student spent 3 / 5 of his allowance at the arcade. the next day he spent one third of his remaining allowance at the toy store, and then spent his last $ 0.60 at the candy store. what is this student ’ s weekly allowance?
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[Assistant] $ 2.25

[User]
there are 14 players in a chess group, and each player plays each of the others once. given that each game is played by two players, how many total games will be played?
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[Assistant] 91

[User]
a team won 40 percent of its first 30 games in a particular season, and 80 percent of its remaining games. if the team won a total of 60 percent of its games that season, what was the total number of games that the team played?
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[Assistant] 60

[User]
cereal a is 11 % sugar by weight, whereas healthier but less delicious cereal b is 2 % sugar by weight. to make a delicious and healthy mixture that is 4 % sugar, what should be the ratio of cereal a to cereal b, by weight?
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[Assistant] 2 : 7

[User]
10 years ago a was half of b in age. if the ratio of their present ages is 3 : 4, what will be the total of their present ages
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[Assistant] 35


[User]
in a class of 39 students 26 play football and play 20 long tennis, if 17 play above, many play neither?
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[Assistant] 10

[User]
a rectangular floor is covered by a rug except for a strip 2 meters wide along each of the four edge. if the floor is 10 meters by 8 meters, what is the area of the rug in square meters?
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[Assistant] 24

[User]
if a * b denotes the greatest common divisor of a and b, then ( ( 12 * 16 ) * ( 18 * 12 ) ) =?
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[Assistant] 2

[User]
if 24 men take 15 days to to complete a job, in how many days can 18 men finish that work?
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[Assistant] 20

[User]
the circumference of the front wheel of a cart is 40 ft long and that of the back wheel is 48 ft long. what is the distance travelled by the cart, when the front wheel has done five more revolutions than the rear wheel?
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[Assistant] 1200 ft