[User]
the banker's gain of a certain sum due 3 years hence at 10 % per annum is rs. 36. what is the present worth?
Answer the question using a single word or phrase.

[Assistant] rs. 400

[User]
average age of students of an adult school is 40 years. 120 new students whose average age is 32 years joined the school. as a result the average age is decreased by 4 years. find the number of students of the school after joining of the new students.
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[Assistant] 240

[User]
sophia finished 2 / 3 of a book. she calculated that she finished 90 more pages than she has yet to read. how long is her book?
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[Assistant] 270

[User]
120 is what percent of 50?
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[Assistant] 240 %

[User]
there are 10 girls and 20 boys in a classroom. what is the ratio of girls to boys?
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[Assistant] 1 / 2


[User]
an empty fuel tank with a capacity of 218 gallons was filled partially with fuel a and then to capacity with fuel b. fuel a contains 12 % ethanol by volume and fuel b contains 16 % ethanol by volume. if the full fuel tank contains 30 gallons of ethanol, how many gallons of fuel a were added?
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[Assistant] 122

[User]
an article is bought for rs. 823 and sold for rs. 1000, find the gain percent?
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[Assistant] 21.5 %

[User]
6 workers should finish a job in 8 days. after 3 days came 4 workers join them. how many days m do they need to finish the same job?
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[Assistant] 3

[User]
j is 25 % less than p and 20 % less than t. t is q % less than p. what is the value of q?
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[Assistant] 6.25

[User]
a student was asked to find 4 / 5 of a number. but the student divided the number by 4 / 5, thus the student got 36 more than the correct answer. find the number.
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[Assistant] 80


[User]
the average weight of 8 person's increases by 1.5 kg when a new person comes in place of one of them weighing 75 kg. what might be the weight of the new person?
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[Assistant] 81 kg

[User]
a train 125 m long passes a man, running at 15 km / hr in the same direction in which the train is going, in 10 seconds. the speed of the train is?
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[Assistant] 60

[User]
the average of 15 result is 60. average of the first 10 of them is 10 and that of the last 10 is 80. find the 8 th result?
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[Assistant] 200

[User]
a salesman â € ™ s terms were changed from a flat commission of 5 % on all his sales to a fixed salary of rs. 1000 plus 2.5 % commission on all sales exceeding rs. 4,000. if his remuneration as per new scheme was rs. 500 more than that by the previous schema, his sales were worth?
Answer the question using a single word or phrase.

[Assistant] s. 16,000

[User]
a rectangular floor that measures 15 meters by 18 meters is to be covered with carpet squares that each measure 3 meters by 3 meters. if the carpet squares cost $ 12 apiece, what is the total cost for the number of carpet squares needed to cover the floor?
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[Assistant] $ 360


[User]
a vessel of capacity 2 litre has 30 % of alcohol and another vessel of capacity 6 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?
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[Assistant] 30 %.

[User]
the total of 324 of 20 paise and 25 paise make a sum of rs. 70. the no of 20 paise coins is
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[Assistant] 220

[User]
in 1970 there were 8,902 women stockbrokers in the united states. by 1978 the number had increased to 18,947. approximately what was the percent increase?
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[Assistant] 113 %

[User]
what is the number of integers from 1 to 1100 ( inclusive ) that are divisible by neither 11 nor by 35?
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[Assistant] 945

[User]
arun makes a popular brand of ice cream in a rectangular shaped bar 6 cm long, 5 cm wide and 2 cm thick. to cut costs, the company had decided to reduce the volume of the bar by 19 %. the thickness will remain same, but the length and width will be decreased by some percentage. the new width will be,
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[Assistant] 33


[User]
kim finds a 5 - meter tree branch and marks it off in thirds and fifths. she then breaks the branch along all the markings and removes one piece of every distinct length. what fraction of the original branch remains?
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[Assistant] 3 / 5

[User]
mark bought a set of 6 flower pots of different sizes at a total cost of $ 8.25. each pot cost 0.1 more than the next one below it in size. what was the cost, in dollars, of the largest pot?
Answer the question using a single word or phrase.

[Assistant] $ 1.62

[User]
in the above number, a and b represent the tens and units digits, respectively. if the above number is divisible by 45, what is the greatest possible value of b x a?
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[Assistant] 20

[User]
the profit obtained by selling an article for rs. 57 is the same as the loss obtained by selling it for rs. 43. what is the cost price of the article?
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[Assistant] rs. 50

[User]
in 2008, the profits of company n were 8 percent of revenues. in 2009, the revenues of company n fell by 20 percent, but profits were 15 percent of revenues. the profits in 2009 were what percent of the profits in 2008?
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[Assistant] 150 %


[User]
a garrison of 2000 men has provisions for 54 days. at the end of 15 days, a reinforcement arrives, and it is now found that the provisions will last only for 20 days more. what is the reinforcement?
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[Assistant] 1900

[User]
if a bicyclist in motion increases his speed by 30 percent and then increases this speed by 10 percent, what percent of the original speed is the total increase in speed?
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[Assistant] 43 %

[User]
what is the greatest number that divides 263, 935 and 1383 leaving a remainder of 7 in each case?
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[Assistant] 32

[User]
how many seconds will a 900 meter long train moving with a speed of 63 km / hr take to cross a man walking with a speed of 3 km / hr in the direction of the train?
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[Assistant] 54

[User]
find the average of all the numbers between 6 and 38 which are divisible by 4.
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[Assistant] 22


[User]
if the cost price is 96 % of sp then what is the profit %
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[Assistant] 4.17 %

[User]
a car gets 27 miles to the gallon. if it is modified to use a solar panel, it will use only 75 percent as much fuel as it does now. if the fuel tank holds 14 gallons, how many more miles will the car be able to travel, per full tank of fuel, after it has been modified?
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[Assistant] 126

[User]
a fort had provision of food for 150 men for 45 days. after 10 days, 25 men left the fort. the number of days for which the remaining food will last, is :
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[Assistant] 42

[User]
a person lent a certain sum of money at 4 % per annum at simple interest and in 8 years the interest amounted to rs. 306 less than the sum lent. what was the sum lent?
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[Assistant] 450

[User]
a man has some hens and cows. if the number of heads be 50 and the number of feet equals 144, then the number of hens will be
Answer the question using a single word or phrase.

[Assistant] 28


[User]
because he ’ s taxed by his home planet, mork pays a tax rate of 40 % on his income, while mindy pays a rate of only 30 % on hers. if mindy earned 3 times as much as mork did, what was their combined tax rate?
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[Assistant] 32.5 %

[User]
a watch was sold at a loss of 5 %. if it was sold for rs. 500 more, there would have been a gain of 5 %. what is the cost price?
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[Assistant] 2788

[User]
a car travels at a speed of 65 miles per hour. how far will it travel in 6 hours?
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[Assistant] 390 miles

[User]
in a family 13 people eat only vegetarian, 7 people eat only non veg., 8 people eat both veg and non veg.. how many people eat veg in the family?
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[Assistant] 21

[User]
if p / q = 4 / 5, then the value of 11 / 7 + { ( 2 q - p ) / ( 2 q + p ) } is?
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[Assistant] 2


[User]
if x ^ 2 + y ^ 2 = 13 and xy = 3, then ( x − y ) ^ 2 =
Answer the question using a single word or phrase.

[Assistant] 7

[User]
a big container is 40 % full with water. if 14 liters of water is added, the container becomes 3 / 4 full. what is the capacity of the big container in liters?
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[Assistant] 40

[User]
the ratio of the arithmetic mean of two numbers to one of the numbers is 5 : 8. what is the ratio of the smaller number to the larger number?
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[Assistant] 1 : 4

[User]
the salaries of a, b, and c are in the ratio of 1 : 2 : 3. the salary of b and c together is rs. 6000. by what percent is the salary of c more than that of a?
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[Assistant] 200 %

[User]
a man swims downstream 96 km and upstream 40 km taking 8 hours each time ; what is the speed of the current?
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[Assistant] 3.5 kmph


[User]
vinoth can complete a painting work in 20 days. prakash can do the same work in 25 days. they start the work together but vinoth quit after 3 days of work. how many days are required to complete the remaining painting work by prakash.
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[Assistant] 18.25 days

[User]
the total cost of a vacation was divided among 3 people. if the total cost of the vacation had been divided equally among 5 people, the cost per person would have been $ 50 less. what was the total cost cost of the vacation?
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[Assistant] $ 375

[User]
how many ounces of a 60 % salt solution must be added to 30 ounces of a 20 percent salt solution so that the resulting mixture is 40 % salt?
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[Assistant] 30

[User]
if 20 % of a is the same as 30 % of b, then a : b is :
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[Assistant] 3 : 2

[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 144 : 25 and bc = 13 cm, then find the length of de.
Answer the question using a single word or phrase.

[Assistant] 14


[User]
working alone at its constant rate, machine a produces x boxes in 10 minutes and working alone at its constant rate, machine b produces 2 x boxes in 5 minutes. how many minutes does it take machines a and b, working simultaneously at their respective constant rates, to produce 10 x boxes?
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[Assistant] 20 minutes

[User]
if y > 0, ( 1 y ) / 20 + ( 3 y ) / 10 is what percent of y?
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[Assistant] 35 %

[User]
how many of the positive factors of 25, 15 and how many common factors are there in numbers?
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[Assistant] 2

[User]
a certain college's enrollment at the beginning of 1992 was 20 percent greater than it was at the beginning of 1991, and its enrollment at the beginning of 1993 was 5 percent greater than it was at the beginning of 1992. the college's enrollment at the beginning of 1993 was what percent greater than its enrollment at the beginning of 1991?
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[Assistant] 26 %

[User]
of the 17,210 employees of the anvil factory, 2 / 7 are journeymen. if half of the journeymen were laid off, what percentage of the total remaining employees would be journeymen?
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[Assistant] 28.6 %


[User]
an electric pump can fill a tank in 10 hours. because of a leak in the tank, it took 20 hours to fill the tank. if the tank is full, how much time will the leak take to empty it?
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[Assistant] 20 hours

[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 ( 36 )?
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[Assistant] 17

[User]
pipe a can fill a tank in 10 hours. due to a leak at the bottom, it takes 15 hours for the pipe a to fill the tank. in what time can the leak alone empty the full tank?
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[Assistant] 30

[User]
5 women can do a work in two days. 10 men can complete the same work in five days. what is the ratio between the capacity of a man and a woman?
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[Assistant] 1 : 5

[User]
what is the positive difference between the sum of the squares of the first 8 positive integers and the sum of the prime numbers between the first square and fourth square?
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[Assistant] 163


[User]
the average age of 19 persons in a office is 15 years. out of these, the average age of 5 of them is 14 years and that of the other 9 persons is 16 years. the age of the 15 th person is?
Answer the question using a single word or phrase.

[Assistant] 71

[User]
a pet store regularly sells pet food at a discount of 10 percent to 30 percent from the manufacturer ’ s suggested retail price. if during a sale, the store discounts an additional 20 percent from the discount price, what would be the lowest possible price of a container of pet food that had a manufacturer ’ s suggested retail price o f $ 40.00?
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[Assistant] $ 22.40

[User]
the perimeter of an equilateral triangle is 60. if one of the sides of the equilateral triangle is the side of an isosceles triangle of perimeter 45, then how long is the base of isosceles triangle?
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[Assistant] 5 units

[User]
calculate the ratio between x and y if 25 % of x equal to 40 % of y?
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[Assistant] 5 : 8

[User]
. 003 /? =. 01
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[Assistant] . 3


[User]
if √ 10 = 3.16, find the value of if √ 5 / 2
Answer the question using a single word or phrase.

[Assistant] 1.58

[User]
the length of a rectangular plot is 20 metres more than its breadth. if the cost of fencing the plot @ rs. 26.50 per metre is rs. 7420, what is the length of the plot in metres?
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[Assistant] 80

[User]
30 men can do a work in 40 days. when should 12 men leave the work so that the entire work is completed in 40 days after they leave the work?
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[Assistant] 18 days

[User]
carrie likes to buy t - shirts at the local clothing store. they cost $ 9.65 each. one day, she bought 12 t - shirts. how much money did she spend?
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[Assistant] $ 115.8

[User]
a train 110 m long is running with a speed of 30 km / h. in how many seconds will the train pass a man who is running at 3 km / h in the direction opposite to that in which the train is going?
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[Assistant] 12


[User]
kanul spent $ 3000 in buying raw materials, $ 1000 in buying machinery and 30 % of the total amount he had as cash with him. what was the total amount?
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[Assistant] $ 5714.28

[User]
a sporting goods store sold 64 frisbees in one week, some for $ 3 and the rest for $ 4 each. if receipts from frisbee sales for the week totaled $ 204, what is the fewest number of $ 3 frisbees that could have been sold?
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[Assistant] 52

[User]
two trains 110 meters and 200 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. in what time will they be completely clear of each other from the moment they meet?
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[Assistant] 7.69

[User]
how many 1 / 10 s are there in 37 1 / 2?
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[Assistant] 375

[User]
a circle graph shows how the megatech corporation allocates its research and development budget : 12 % microphotonics ; 24 % home electronics ; 15 % 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] 43 °


[User]
what is 15 percent of 64?
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[Assistant] 9.6

[User]
each week a restaurant serving mexican food uses the same volume of chili paste, which comes in either 55 - ounce cans or 15 - ounce cans of chili paste. if the restaurant must order 30 more of the smaller cans than the larger cans to fulfill its weekly needs, then how many larger cans are required to fulfill its weekly needs?
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[Assistant] 15

[User]
for any positive integer n, the sum of the first n positive integers equals n ( n + 1 ) / 2. what is the sum of all the even integers between 99 and 181?
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[Assistant] 5740

[User]
a salesman â € ™ s terms were changed from a flat commission of 5 % on all his sales to a fixed salary of rs. 1000 plus 2.5 % commission on all sales exceeding rs. 4,000. if his remuneration as per new scheme was rs. 800 more than that by the previous schema, his sales were worth?
Answer the question using a single word or phrase.

[Assistant] s. 4,000

[User]
if k is an integer and 0.0010101 x 10 ^ k is greater than 10, what is the least possible value of k?
Answer the question using a single word or phrase.

[Assistant] 4


[User]
if a and b are positive integers and ( 3 ^ a ) ^ b = 3 ^ 3, what is the value of 3 ^ a * 3 ^ b?
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[Assistant] 81

[User]
a gardener is going to plant 2 red rosebushes and 2 white rosebushes. if the gardener is to select each of the bushes at random, one at a time, and plant them in a row, what is the probability that the 2 rosebushes in the middle of the row will be the red rosebushes?
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[Assistant] 1 / 6

[User]
a certain university will select 1 of 5 candidates eligible to fill a position in the mathematics department and 2 of 8 candidates eligible to fill 2 identical positions in the computer science department. if none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the 3 positions?
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[Assistant] 140

[User]
what will be the lcm of 8, 24, 36 and 54
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[Assistant] 216

[User]
if 0.75 : x : : 5 : 6, then x is equal to :
Answer the question using a single word or phrase.

[Assistant] 0.9


[User]
two trains of equal lengths take 10 sec and 14 sec respectively to cross a telegraph post. if the length of each train be 120 m, in what time will they cross other travelling in opposite direction?
Answer the question using a single word or phrase.

[Assistant] 11.7

[User]
in the coordinate plane, line a has a slope of - 1 and an x - intercept of 1. line b has a slope of 4 and a y - intercept of - 4. if the two lines intersect at the point ( a, b ), what is the sum a + b?
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[Assistant] 1

[User]
if the annual increase in the population of a town is 10 % and the present number of people is 10000, what will the population be in 2 years?
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[Assistant] 12100

[User]
the sum of two consecutive integers is 41. find the numbers.
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[Assistant] 20,21

[User]
calculate the circumference of a circular field whose radius is 10 centimeters.
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[Assistant] 20 π cm


[User]
a certain company ’ s profit in 1996 was 15 percent greater than its profit in 1995, and its profit in 1997 was 35 percent greater than its profit in 1996. the company ’ s profit in 1997 was what percent greater than its profit in 1995?
Answer the question using a single word or phrase.

[Assistant] 55.25 %

[User]
a, b and c started a partnership business by investing rs. 12000, rs. 16000, rs. 20000 respectively. at the end of the year, the profit were distributed among them. if c's share of profit is 36000, what is the total profit?
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[Assistant] 86400

[User]
two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively. if they cross each other in 24 seconds, what is the ratio of their speeds?
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[Assistant] 7 : 3

[User]
sarah operated her lemonade stand monday through friday over a two week period and made a total profit of 450 dollars. on hot days she sold cups of lemonade for a price that was 25 percent higher than the regular days. each cup she sold had a total cost of 75 cents and sarah did not incur any other costs. if every day she sold exactly 32 cups and 3 of the days were hot, then what was the price of 1 cup on a hot day?
Answer the question using a single word or phrase.

[Assistant] $ 2.50

[User]
at sandi ’ s pet shop, 25 cups of bird seed are used every 5 days to feed 15 parakeets. how many cups of bird seed would be required to feed 14 parakeets for 7 days?
Answer the question using a single word or phrase.

[Assistant] 32.34


[User]
there are 2 available positions and 50 candidates, one half of whom are democrats and another half are republicans. if it was decided that the positions would be filled at random, then what is the probability e that the both positions will be taken by members of just one party?
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[Assistant] 24 / 49

[User]
a car travels from point a to point b. the average speed of the car is 60 km / hr and it travels the first half of the trip at a speed of 80 km / hr. what is the speed of the car in the second half of the trip?
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[Assistant] 48

[User]
sonika deposited rs. 8000 which amounted to rs. 11200 after 3 years at simple interest. had the interest been 2 % more. she would get how much?
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[Assistant] 11680

[User]
a manufacturer sells a pair of glasses to a wholesale dealer at a profit of 18 %. the wholesaler sells the same to retailer at a profit of 20 %. the retailer in turn sells them to a customer for rs. 30.09, there by earning a profit of 25 %. the cost price for the manufacturer is :
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[Assistant] rs. 17

[User]
how long will a boy take to run round a square field of side 40 meters, if he runs at the rate of 12 km / hr?
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[Assistant] 48 sec


[User]
the sum of the first 50 positive even integers is 2550. what is the sum of the even integers from 602 to 700 inclusive?
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[Assistant] 32,550

[User]
the average runs scored by a batsman in 10 matches is 40. in the next 10 matches the batsman scored an average of 30 runs. find his average in all the 20 matches?
Answer the question using a single word or phrase.

[Assistant] 35

[User]
there are 300 giraffes at a large zoo. the number of giraffes is 3 times the number of all the other animals combined. how many more giraffes are there than non giraffes animals at the zoo?
Answer the question using a single word or phrase.

[Assistant] 290

[User]
bucket a is 1 / 4 full of sand, and bucket b, which has one - half the capacity of bucket a, is 3 / 8 full of sand. jana pours the contents of bucket b into bucket a. bucket a is now filled to what fraction of its capacity?
Answer the question using a single word or phrase.

[Assistant] 7 / 16

[User]
if n is an integer, f ( n ) = f ( n - 1 ) - n and f ( 4 ) = 15. what is the value of f ( 6 )?
Answer the question using a single word or phrase.

[Assistant] 4


[User]
a salesman ’ s terms were changed from a flat commission of 5 % on all his sales to a fixed salary of rs. 1100 plus 2.5 % commission on all sales exceeding rs. 4,000. if his remuneration as per new scheme was rs. 600 more than that by the previous schema, his sales were worth?
Answer the question using a single word or phrase.

[Assistant] 14000

[User]
andy solves problems 78 to 125 inclusive in a math exercise. how many problems does he solve?
Answer the question using a single word or phrase.

[Assistant] 48

[User]
a fair 2 sided coin is flipped 3 times. what is the probability that tails will be the result at least twice, but not more than 3 times?
Answer the question using a single word or phrase.

[Assistant] 3 / 8

[User]
a'and'b'are positive integers such that their lcm is 20 and their hcf is 1. what is the addition of the maximum and minimum possible values of'a + b '?
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[Assistant] 30

[User]
3 / 5 of all married couples have more than one child. 2 / 5 of all married couples have more than 3 children. what fraction of all married couples have 2 or 3 children?
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[Assistant] 1 / 5


[User]
one pump drains one - half of a pond in 2 hours, and then a second pump starts draining the pond. the two pumps working together finish emptying the pond in one - half hour. how long would it take the second pump to drain the pond if it had to do the job alone?
Answer the question using a single word or phrase.

[Assistant] 1.3 hour

[User]
if 2 ^ 2 n + 2 ^ 2 n + 2 ^ 2 n + 2 ^ 2 n = 4 ^ 18, then n =
Answer the question using a single word or phrase.

[Assistant] 17

[User]
a fair price shopkeeper takes 10 % profit on his goods. he lost 40 % goods during theft. his loss percent is :
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[Assistant] 34 %

[User]
a and b go around a circular track of length 300 m on a cycle at speeds of 34 kmph and 50 kmph. after how much time will they meet for the first time at the starting point?
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[Assistant] 60 sec

[User]
in cliff ’ s impressive rock collection, there are half as many igneous rocks as sedimentary rocks. of the igneous rocks, 3 / 4 are shiny and the rest are matte, while 1 / 5 of the sedimentary rocks are shiny. if there are 30 shiny igneous rocks, how many total rocks does cliff have?
Answer the question using a single word or phrase.

[Assistant] 120


[User]
two assembly line inspectors, smithy and glen, inspect widgets as they come off the assembly line. if smithy inspects every fifth widget, starting with the fifth, and glen inspects every third, starting with the third, how many of the 98 widgets produced in the first hour of operation are not inspected by either inspector?
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[Assistant] 53

[User]
what is the sum of the numbers between 1 and 12, inclusive?
Answer the question using a single word or phrase.

[Assistant] 78

[User]
the speed of a car is 120 km in the first hour and 70 km in the second hour. what is the average speed of the car?
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[Assistant] 95 kmph

[User]
in a class of 60 children, 30 % children can speak only english, 20 % hindi and english both and the rest of the children can speak only hindi. how many children can speak hindi?
Answer the question using a single word or phrase.

[Assistant] 42

[User]
25 % of a number is more than 20 % of 650 by 190. find the number?
Answer the question using a single word or phrase.

[Assistant] 1280


[User]
a car traveled 35 % of the way from town x to town y at an average speed of 35 mph. the car traveled at an average speed of v mph for the remaining part of the trip. the average speed for the entire trip was 50 mph. what is v in mph?
Answer the question using a single word or phrase.

[Assistant] 65

[User]
if the compound interest on a certain sum of money for 2 years at 10 % per annum be rs. 993, what would be the simple interest?
Answer the question using a single word or phrase.

[Assistant] rs. 600

[User]
hammers and wrenches are manufactured at a uniform weight per hammer and a uniform weight per wrench. if the total weight of two hammers and two wrenches is one - third that of 8 hammers and 5 wrenches, then the total weight of one wrench is how many times that of one hammer?
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[Assistant] 2

[User]
tea worth rs. 126 per kg are mixed with a third variety in the ratio 1 : 1 : 2. if the mixture is worth rs. 163 per kg, the price of the third variety per kg will be
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[Assistant] rs. 185.50

[User]
in an examination, 25 % of total students failed in hindi, 40 % failed in english and 35 % in both. the percentage of these who passed in both the subjects is :
Answer the question using a single word or phrase.

[Assistant] 30 %


[User]
the total circumference of two circles is 49. if the first circle has a circumference that is exactly twice the circumference of the second circle, then what is the approximate sum of their two radii?
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[Assistant] 7.8

[User]
a certain pair of used shoes can be repaired for $ 10.50 and will last for 1 year. a pair of the same kind of shoes can be purchased new for $ 30.00 and will last for 2 years. the average cost per year of the new shoes is what percent greater than the cost of repairing the used shoes?
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[Assistant] 42.85

[User]
a cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 6 hours. if both the taps are opened simultaneously, then after how much time will the cistern get filled?
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[Assistant] 12.0

[User]
a and b invests rs. 8000 and rs. 9000 in a business. after 4 months, a withdraws half of his capital and 2 months later, b withdraws one - third of his capital. in what ratio should they share the profits at the end of the year?
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[Assistant] 32 : 45

[User]
a runs twice as fast as b and gives b a start of 42 m. how long should the racecourse be so that a and b might reach in the same time?
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[Assistant] 84 m.


[User]
in a certain town, the ratio of ny yankees fans to ny mets fans is 3 : 2, and the ratio of ny mets fans to boston red sox fans is 4 : 5. if there are 330 baseball fans in the town, each of whom is a fan of exactly one of those three teams, how many ny mets fans are there in this town?
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[Assistant] 88

[User]
what is the 26 th digit to the right of the decimal point in the decimal form of 6 / 11?
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[Assistant] 4

[User]
what is the area of square field whose side of length 13 m?
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[Assistant] 169

[User]
a can complete a certain job in 9 days. b is 80 % more efficient than a. in how many days can b complete the same job?
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[Assistant] 5

[User]
a metallic sheet is of rectangular shape with dimensions 50 m x 30 m. from each of its corners, a square is cut off so as to make an open box. if the length of the square is 5 m, the volume of the box ( in m cube ) is :
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[Assistant] none of these


[User]
in what time a sum of money double itself at 2 % per annum simple interest?
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[Assistant] 50 %

[User]
a, b, c can complete a piece of work in 18, 6,12 days. working together, they complete the same work in how many days?
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[Assistant] 36 / 11

[User]
if the horse can run 10 miles / hour, how many days would it take for a horse to run from new york city to washington. d. c.? ( 240 miles from nyc to d. c. )
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[Assistant] 1

[User]
solve below question 2 x + 1 = - 21
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[Assistant] - 11

[User]
solution for 2.12 +. 004 +. 345
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[Assistant] 2.469


[User]
in a throw of dice what is the probability of ge æ « ng number greater than 3
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[Assistant] 1 / 2

[User]
a reduction of 25 % in the price of oil enables a house wife to obtain 5 kgs more for rs. 1300, what is the reduced price for kg?
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[Assistant] s. 65

[User]
how many paying stones, each measuring 2 1 / 2 m * 2 m are required to pave a rectangular court yard 30 m long and 16 1 / 2 m board?
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[Assistant] 99

[User]
20 liters of a mixture is created by mixing liquid p and liquid q in the ratio 3 : 2. how many liters of liquid q must be added to make the ratio 4 : 3?
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[Assistant] 1

[User]
a sum amounts to rs. 5292 in 2 years at the rate of 5 % p. a. if interest was compounded yearly then what was the principal?
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[Assistant] s. 4800


[User]
express a speed of 56 kmph in meters per second?
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[Assistant] 15.56 mps

[User]
in a fuel station the service costs $ 1.75 per car, every liter of fuel costs 0.65 $. assuming that a company owns 12 cars and that every fuel tank contains 45 liters and they are all empty, how much money total will it cost to fuel all cars?
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[Assistant] 372 $

[User]
a group of men decided to do a work in 12 days, but 6 of them became absent. if the rest of the group did the work in 14 days, find the original number of men?
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[Assistant] 42

[User]
a sells a cricket bat to b at a profit of 20 %. b sells it to c at a profit of 25 %. if c pays $ 234 for it, the cost price of the cricket bat for a is :
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[Assistant] 156

[User]
a rectangular plot measuring 90 metres by 50 metres is to be enclosed by wire fencing. if the poles of the fence are kept 5 metres apart, how many poles will be needed?
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[Assistant] 56


[User]
in town x, 64 percent of the population are employed, and 49 percent of the population are employed males. what percent of the employed people in town x are females?
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[Assistant] 20 %

[User]
the hiker walking at a constant rate of 6 miles per hour is passed by a motor - cyclist traveling in the same direction along the same path at 30 miles per hour. the motor - cyclist stops to wait for the hiker 12 minutes after passing her, while the hiker continues to walk at her constant rate, how many minutes must the motor - cyclist wait until the hiker catches up?
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[Assistant] 48

[User]
the speed at which a man can row a boat in still water is 15 kmph. if he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 90 metres?
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[Assistant] 18 seconds

[User]
a train consists of 12 boggies, each boggy 15 metres long. the train crosses a telegraph post in 9 seconds. due to some problem, one boggies were detached. the train now crosses a telegraph post in
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[Assistant] 8.25 sec

[User]
a lent rs. 5000 to b for 2 years and rs. 3000 to c for 4 years on simple interest at the same rate of interest and received rs. 2640 in all from both of them as interest. the rate of interest per annum is?
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[Assistant] 12 %


[User]
tickets numbered from 1 to 26 are mixed and then a ticket is selected randomly. what is the probability that the selected ticket bears a number which is a multiple of 3?
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[Assistant] 4 / 13

[User]
in a certain boys camp, 20 % of the total boys are from school a and 30 % of those study science. if there are 56 boys in the camp that are from school a but do not study science then what is the total number of boys in the camp?
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[Assistant] 400

[User]
the number 219 can be written as sum of the squares of 3 different positive integers. what is the sum of these 3 different integers?
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[Assistant] 21

[User]
a certain list consists of 21 different numbers. if n is in the list and n is 7 times the average ( arithmetic mean ) of the other 20 numbers in the list, then n is what fraction of the sum of the 21 numbers in the list?
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[Assistant] 7 / 27

[User]
in a boat there are 8 men whose average weight is increased by 1 kg when 1 man of 60 kg is replaced by a new man. what is weight of new comer?
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[Assistant] 68


[User]
the ratio of a and b is 5 : 3. after 2 years their ratio is 3 : 2. what is the age of b?
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[Assistant] 6

[User]
a train leaves delhi at 7 a. m. at a speed of 30 kmph. another train leaves at 2 p. m. at a speed of 40 kmph on the same day and in the same direction. how far from delhi, will the two trains meet?
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[Assistant] 840

[User]
if the probability of rain on any given day in chicago during the summer is 50 %, independent of what happens on any other day, what is the probability of having exactly 3 rainy days from july 4 through july 7, inclusive?
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[Assistant] 1 / 4

[User]
the length of a rectangle is twice its breadth. if its lengthis decreased by 5 cm & breadth is increased by 5 cm, the area of the rectangle is increased by 75 sq. cm. what is the length of the rectangle?
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[Assistant] 40 cm

[User]
every year an amount increases by 1 / 8 th of itself. how much will it be after two years if its present value is rs. 51200?
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[Assistant] 64800


[User]
set s contains exactly 10 numbers and has an average ( arithmetic mean ) of 6.2. if one of the numbers in set s is increased by 4, while all other numbers remain the same, what is the new average of set s?
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[Assistant] 6.6

[User]
during a sale of 20 % on everything in a store, a kid is successful in convincing the store manager to give him 20 candies for the discounted price of 14 candies. the store still makes a profit of 18 % on this sale. what is the mark up percentage on each candy?
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[Assistant] 66 + 2 / 3 %

[User]
how many numbers are divisible by 4 between 1 and 100.
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[Assistant] 24

[User]
if a person walks at 14 km / hr instead of 10 km / hr, he would have walked 20 km more. what is the actual distance travelled by him?
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[Assistant] 50

[User]
arjun started a business with rs. 40,000 and is joined afterwards by anoop with rs. 80, 000. after how many months did anoop join if the profits at the end of the year are divided equally?
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[Assistant] 6


[User]
5555 × 9999 =?
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[Assistant] 55544445

[User]
1397 x 1397 =?
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[Assistant] 1951609

[User]
if 5 < x < 11 and y = x + 6, what is the greatest possible integer value of x + y?
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[Assistant] 27

[User]
pipe p can fill a tank in 8 hours, pipe q in 12 hours and pipe r in 20 hours. if all the pipes are open, in how many hours will the tank be filled?
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[Assistant] 3.8 hours

[User]
a worker's take - home pay last year was the same each month, and she saved the same fraction of her take - home pay each month. the total amount of money that she had saved at the end of the year was 5 times the amount of that portion of her monthly take - home pay that she did not save. if all the money that she saved last year was from her take - home pay, what fraction of her take - home pay did she save each month?
Answer the question using a single word or phrase.

[Assistant] 5 / 17


[User]
a trader mixes 80 kg of tea at 15 per kg with 20 kg of tea at cost price of 20 per kg. in order to earn a profit of 35 %, what should be the sale price of the mixed tea?
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[Assistant] 21.6

[User]
if the sum of two numbers is 55 and the h. c. f and l. c. m of these numbers are 5 and 120 respectively, then the sum of the reciprocal of the numbers is equal to :
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[Assistant] 11 / 120

[User]
a person bought 129 glass bowls at a rate of rs. 11 per bowl. he sold 118 of them at rs. 15 and the remaining broke. what is the percentage gain for a?
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[Assistant] 2900 / 129

[User]
a cube of edge 12 cm is immersed completely in a rectangular vessel containing water. if the dimensions of the base of vessel are 20 cm * 15 cm, find the rise in water level?
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[Assistant] 5.76 cm

[User]
two cars are driving toward each other. the first car is traveling at a speed of 100 km / h, which is 20 % slower than the second car's speed. if the distance between the cars is 1125 km, how many hours will it take until the two cars meet?
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[Assistant] 5


[User]
a train 140 m long running at 84 kmph crosses a platform in 16 sec. what is the length of the platform?
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[Assistant] 233

[User]
by travelling at 70 kmph, a person reaches his destination on time. he covered two - third the total distance in one - third of the total time. what speed should he maintain for the remaining distance to reach his destination on time?
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[Assistant] 35 kmph

[User]
the cost of registration at a professional association meeting was $ 50 per person ; a lunch for registrants only was available for an additional $ 22 per person. if the number of registrants who paid for lunch was 50 more than the number who did not, and if receipts for registration and lunch totaled $ 82,900, how many people paid just for registration at the meeting?
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[Assistant] 650

[User]
the unit digit in the product ( 594 * 897 * 929 * 462 ) is :
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[Assistant] 4

[User]
how many times will the digit 8 be written when listing the integers from 1 to 1000?
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[Assistant] 300


[User]
a train passes a station platform in 36 sec and a man standing on the platform in 20 sec. if the speed of the train is 63 km / hr. what is the length of the platform?
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[Assistant] 280

[User]
machine a and machine b are each used to manufacture 330 sprockets. it takes machine a 10 hours longer to produce 330 sprockets than machine b. machine b produces 10 percent more sprockets per hour than machine a. how many sprockets per hour does machine a produces?
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[Assistant] 3

[User]
if the ratio of the sum of the first 6 terms of a g. p. to the sum of the first 3 terms of the g. p. is 217, what is the common ratio of the g. p?
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[Assistant] 6

[User]
a 72 gallon solution of salt and water is 10 % salt. how many gallons of water must be added to the solution in order to decrease the salt to 8 % of the volume?
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[Assistant] 18

[User]
the radius of a cylindrical vessel is 9 cm and height is 3 cm. find the whole surface of the cylinder?
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[Assistant] 678.8 sq cm


[User]
the simple interest on a sum of money will be rs. 600 after 10 years. if the principal is trebled after 5 years what will be the total interest at the end of the tenth year?
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[Assistant] 1200

[User]
what least number must be subtracted from 427751 so that remaining no. is divisible by 10
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[Assistant] 1

[User]
jim is able to sell a hand - carved statue for $ 660 which was a 20 % profit over his cost. how much did the statue originally cost him?
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[Assistant] $ 550

[User]
the minute hand of a clock overtakes the hour hand at intervals of 65 minutes of correct time. how much does the clock gain or lose in 12 hours?
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[Assistant] 27.273 seconds

[User]
students at a school were on average 180 cm tall. the average female height was 170 cm, and the average male height was 184 cms. what was the ratio f of men to women?
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[Assistant] 5 : 2


[User]
average monthly income of a family of 3 earning members was rs. 735. one of the earning members died and therefore, the average income came down to rs 650. the income of the deceased was?
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[Assistant] rs. 905

[User]
a started a business with an investment of rs. 70000 and after 6 months b joined him investing rs. 120000. if the profit at the end of a year is rs. 52000, then the share of b is?
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[Assistant] 24000

[User]
a tank can supply water to a village for 20 days. if a leak at the bottom of the tank drains out 10 liters per day, the supply lasts for 15 days only. for how many days will the supply last if the leak drains out 20 liters per day?
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[Assistant] 12

[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 x of the selected films are in color?
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[Assistant] 30 / 31

[User]
if the average ( arithmetic mean ) of x + 1, x + 4, and x + 7 is 0, then x =
Answer the question using a single word or phrase.

[Assistant] – 4


[User]
of the female students at barkely university, 3 / 5 are on the honor roll. of the male students, 2 / 5 are on the honor roll. if 5 / 9 of the students are female, what fraction of all the students are on the honor roll?
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[Assistant] 23 / 45

[User]
a certain clock marks every hour by striking a number of times equal to the hour, and the time require for a stroke is exactly equal to the time interval between strokes. at 6 : 00 the time lapse between the beginning of the first stoke and the end of the last stroke is 22 seconds. at 7 : 00, how many seconds elapse between the beginning of the first stroke and the end of the last stroke?
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[Assistant] 26

[User]
a dishonest dealer professes to sell goods at the cost price but uses a weight of 600 grams per kg, what is his percent?
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[Assistant] 66.7 %

[User]
15 men can complete a piece of work in 25 days. in how many days can 20 men complete that piece of work?
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[Assistant] 18.75 days

[User]
if n is a prime number greater than 5, what is the remainder when n ^ 2 is divided by 23?
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[Assistant] 3


[User]
the sum of all solutions for x in the equation x ^ 2 – 8 x + 21 = | x – 2 | + 5 is equal to :
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[Assistant] 18

[User]
80 is what percent of 160?
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[Assistant] 50 %

[User]
the price of commodity x increases by 30 cents every year, while the price of commodity y increases by 20 cents every year. if in 2001, the price of commodity x was $ 4.20 and the price of commodity y was $ 4.40, in which year will commodity x cost 40 cents more than the commodity y?
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[Assistant] 2007

[User]
a 300 metre long train crosses a platform in 39 seconds while it crosses a post in 18 seconds. what is the length of the platform?
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[Assistant] 350 m

[User]
what is the remainder when 1034 * 1047 * 1050 * 1053 is divided by 33?
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[Assistant] 0


[User]
39 persons can repair a road in 24 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] 26

[User]
two boats are heading towards each other at constant speeds of 4 miles / hr and 20 miles / hr respectively. they begin at a distance 20 miles from each other. how far are they ( in miles ) one minute before they collide?
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[Assistant] 6 / 15

[User]
1 / 0.04 is equal to
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[Assistant] 25

[User]
a retail appliance store priced a video recorder at 20 percent above the wholesale cost of $ 200. if a store employee applied the 30 percent employee discount to the retail price to buy the recorder, how much did the employee pay for the recorder?
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[Assistant] $ 168

[User]
if an integer n is to be chosen at random from the integers 1 to 92, inclusive, what is the probability that n ( n + 1 ) ( n + 2 ) will be divisible by 8?
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[Assistant] 29 / 46


[User]
on dividing a number by 56, we get 27 as remainder. on dividing the same number by 8, what will be the remainder?
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[Assistant] 3

[User]
what sum of money will produce rs. 90 as simple interest in 4 years at 3 1 / 2 percent?
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[Assistant] 642.9

[User]
a and b enter into a partnership. a contributed rs. 5000 for 8 months and b rs. 6000 for 5 months. find a's share in a total profit of rs. 8400.
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[Assistant] rs. 4800

[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 mixtures be mixed to obtain a new mixture in vessel c containing spirit and water in the ratio 8 : 5?
Answer the question using a single word or phrase.

[Assistant] 7 : 9

[User]
company a imported 10,000 widgets made of either brass or aluminum. the widgets are painted blue, red or green. if 20 percent of the widgets are made of brass and of those 20 percent are painted green and 40 percent are painted red how many brass widgets painted blue were imported?
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[Assistant] 800


[User]
a honey bee flies for 10 seconds, from a daisy to a rose. it immediately continues to a poppy, flying for 6 additional seconds. the distance the bee passed, flying from the daisy to the rose is 6 meters longer than the distance it passed flying from the rose to the poppy. the bee flies to the poppy at 3 meters per second faster than her speed flying to the rose. the bee flies how many meters per second from the daisy to the rose?
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[Assistant] 3

[User]
a rectangular lawn of dimensions 80 m * 40 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. what is the cost of traveling the two roads at rs. 3 per sq m?
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[Assistant] 3300

[User]
there is enough provisions for 1200 girls in a hostel for 50 days. if there were 600 girls less, how long will the provision last?
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[Assistant] 100

[User]
a 50 kg metal bar made of alloy of tin and silver lost 5 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]
united telephone charges a base rate of $ 7.00 for service, plus an additional charge of $ 0.25 per minute. atlantic call charges a base rate of $ 12.00 for service, plus an additional charge of $ 0.20 per minute. for what number of minutes would the bills for each telephone company be the same?
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[Assistant] 100 minutes


[User]
there are 50 students in a class. if 12 % are absent on a particular day, find the number of students present in the class.
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[Assistant] 44

[User]
how many gallons of milk that is 10 percent butter - fat must be added to 8 gallons of milk that is 50 percent butterfat to obtain milk that is 20 percent butterfat?
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[Assistant] 24

[User]
can c and can в are both right circular cylinders. the radius of can c is twice the radius of can b, while the height of can c is half the height of can b. if it costs $ 4.00 to fill half of can b with a certain brand of gasoline, how much would it cost to completely fill can c with the same brand of gasoline?
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[Assistant] $ 16

[User]
a certain family has 3 sons : richard is 6 years older than david, and david is 8 years older than scott. if in 8 years, richard will be twice as old as scott, then how old was david 3 years ago?
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[Assistant] 11

[User]
6 years ago, the ratio of the ages of vimal and saroj was 6 : 5. 4 years hence, the ratio of their ages will be 11 : 10. what is saroj's age at present?
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[Assistant] 16


[User]
how many pieces of 0.85 meteres can be cut from a rod 42.5 meteres long
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[Assistant] 50

[User]
ratio between rahul and deepak is 5 : 2, after 6 years rahul age will be 26 years. what is deepak present age.
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[Assistant] 8

[User]
in what time will a train 400 m long cross an electric pole, it its speed be 144 km / hr?
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[Assistant] 10.0 sec

[User]
set a consists of all the prime numbers between 62 and 85. what is the range of set a?
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[Assistant] 16

[User]
a fruit seller had some apples. he sells 60 % apples and still has 300 apples. originally, he had :
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[Assistant] 750 apples


[User]
s ( n ) is a n - digit number formed by attaching the first n perfect squares, in order, into one integer. for example, s ( 1 ) = 1, s ( 2 ) = 14, s ( 3 ) = 149, s ( 4 ) = 14916, s ( 5 ) = 1491625, etc. how many digits w are in s ( 99 )?
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[Assistant] w = 353

[User]
a candidate got 35 % of the votes and lost to the rival by 1650 votes. how many votes were cast?
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[Assistant] 5500

[User]
a certain car traveled twice as many miles from town a to town b as it did from town b to town c. from town a to town b, the car averaged 8 miles per gallon, and from town b to town c, the car averaged 18 miles per gallon. what is the average miles per gallon that the car achieved on its trip from town a through town b to town c?
Answer the question using a single word or phrase.

[Assistant] 15.5

[User]
the total age of a and b is 10 years more than the total age of b and c. c is how many years younger than a.?
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[Assistant] 10

[User]
if the area of a circle is 25 pi square feet, find its circumference.
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[Assistant] 10 pi feet


[User]
excluding stoppages, the speed of a train is 67 kmph and including stoppages it is 51 kmph. of how many minutes does the train stop per hour?
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[Assistant] 14

[User]
the sides of a square region, measured to the nearest centimeter, are 9 centimeters long. the least possible value of the actual area of the square region is
Answer the question using a single word or phrase.

[Assistant] 56.25 sq cm

[User]
the average runs of a cricket player of 8 innings was 24. how many runs must he make in his next innings so as to increase his average of runs by 8?
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[Assistant] 96

[User]
if jack walked 4 miles in 1 hour and 15 minutes, what was his rate of walking in miles per hour?
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[Assistant] 3.2

[User]
yesterday it took robert 6 hours to drive from city a to city b. today it took robert 4.5 hours to drive back from city в to city a along the same route. if he had saved 30 minutes in both trips, the speed for the round trip would be 90 miles per hour. what is the distance between city a and city b?
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[Assistant] 430


[User]
a number consists of 3 digits whose sum is 10. the middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. the number is :
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[Assistant] 253

[User]
how many seconds will a train 110 meters long take to cross a railway platform 165 meters long if the speed of the train is 132 kmph?
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[Assistant] 7.5 sec

[User]
2 trains starting at the same time from 2 stations 200 km apart and going in opposite direction cross each other at a distance of 110 km from one of the stations. what is the ratio of their speeds
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[Assistant] 11 : 9

[User]
50 percent of andrea's living room floor is covered by a carpet that is 4 feet by 9 feet. what is the area of her living room floor?
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[Assistant] 64.8

[User]
a work can be finished in 13 days by ten women. the same work can be finished in fifteen days by ten men. the ratio between the capacity of a man and a woman is
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[Assistant] 13 : 15


[User]
if 213 × 16 = 3408, then 1.6 × 213.0 is equal to :
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[Assistant] 340.8

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

[User]
the population of a bacteria colony doubles every day. if it was started 3 days ago with 3 bacteria and each bacteria lives for 12 days, how large is the colony today?
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[Assistant] 1024

[User]
the h. c. f of two numbers is 15 and their l. c. m is 3300. if one of the numbers is 225, then the other is?
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[Assistant] 220

[User]
a bag marked at $ 80 is sold for $ 68. the rate of discount is?
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[Assistant] 15 %


[User]
{ 5, 6, 3, 8, 4 } if we want to get the median value of the set to be 10 which value should be inserted in the set of 5 values?
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[Assistant] 7

[User]
the cost price of 7 articles is equal to the selling price of 5 articles. what is the profit percent?
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[Assistant] 40 %

[User]
in a kilometer race, a beats b by 20 meters or 10 seconds. what time does a take to complete the race?
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[Assistant] 490 sec

[User]
a positive number when decreased by 4 is equal to 21 times the reciprocal of the number. the number is
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[Assistant] 7

[User]
at what price must an book costing $ 47.50 be marked in order that after deducting 5 % from the list price. it may be sold at a profit of 25 % on the cost price?
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[Assistant] 62.5


[User]
a car consumes 210 liters of petrol weekly. for how many days will 1470 liters of petrol be sufficient?
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[Assistant] 49

[User]
one type of liquid contains 20 % of water and the second type of liquid contains 35 % of water. a glass is filled with 10 parts of 1 st liquid and 4 parts of 2 nd liquid. the percentage of water in the new mixture in the glass is?
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[Assistant] 24.3 %

[User]
the sum of two consecutive integers is 61. find the numbers.
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[Assistant] 30,31

[User]
how many positive even integers less than 100 contain digits 7 or 9?
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[Assistant] 10

[User]
in a group of 650 readers who read science fiction or literacy works or both, 250 read science fiction and 550 read literacy works. how many read both science fiction and literacy works?
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[Assistant] 150


[User]
if anangletis defined as 1 percent of 1 degree, then how many anglets are there in one half circle?
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[Assistant] 18,000

[User]
the speed of a car is 80 km in the first hour and 40 km in the second hour. what is the average speed of the car?
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[Assistant] 60 kmph

[User]
two trains 200 m and 250 m long run at the speed of 72 kmph and 18 kmph in opposite directions in parallel tracks. the time which they take to cross each other is?
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[Assistant] 18 sec

[User]
the “ length of integer x ” refers to the number of prime factors, not necessarily distinct, that x has. ( if x = 60, the length of x would be 4 because 60 = 2 × 2 × 3 × 5. ) what is the greatest possible length of integer z if z < 3000?
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[Assistant] 11

[User]
a cistern is filled by a tap in 4 1 / 2 hours. due to leak in the bottom of the cistern, it takes half an hour longer to fill the cistern. if the cistern is full how many hours will it take the leak to empty it?
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[Assistant] 45


[User]
what is ( 19 ^ 7 + 19 ) / 19?
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[Assistant] 47045882

[User]
a certain galaxy is known to comprise approximately 6 x 10 ^ 11 stars. of every 50 million of these stars, one is larger in mass than our sun. approximately how many stars in this galaxy are larger than the sun?
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[Assistant] 12,000

[User]
what is the remainder when 4 ^ 381 is divided by 5?
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[Assistant] 4

[User]
the present population of a town is 1000. population increase rate is 25 % p. a. find the population of town before 1 years?
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[Assistant] 800

[User]
a garrison of 400 men had a provision for 31 days. after 28 days 300 persons re - enforcement leave the garrison. find the number of days for which the remaining ration will be sufficient?
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[Assistant] 12 days


[User]
a = { 0, 1, - 3, 6, - 8 } b = { - 1, 2, - 4, 7 } 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] 2 / 5

[User]
two trains 140 m and 210 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks. the time which they take to cross each other is?
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[Assistant] 12.6 sec

[User]
john and david can finish a job together in 1 hours. if john can do the job by himself in 2 hours, what percent of the job does david do?
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[Assistant] 50 %

[User]
for the positive integers x, x + 2, x + 4, x + 7, and x + 17, the mean is how much greater than the median?
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[Assistant] 2

[User]
a man rows his boat 84 km downstream and 60 km upstream, taking 4 hours each time. find the speed of the stream?
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[Assistant] 3 kmph


[User]
a train is moving at a speed of 132 km / hour. if the length of the train is 110 meters, how long will it take to cross a railway platform 165 meters long.
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[Assistant] 7.5 second

[User]
10 machines, each working at the same constant rate, together can complete a certain job in 12 days. how many additional machines, each working at the same constant rate, will be needed to complete the job in 8 days?
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[Assistant] 5

[User]
given a bag with 2 red balls and 3 yellow balls, you randomly select one of them, in order. if the second ball you take is yellow, what is the probability that the first one was also yellow?
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[Assistant] 1 / 2

[User]
how many 4 - digit positive integers are multiple of each integer from 1 to 10
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[Assistant] 2520

[User]
a water tank is one - fifth full. pipe a can fill a tank in 10 minutes and pipe b can empty it in 6 minutes. if both the pipes are open, how many minutes will it take to empty or fill the tank completely?
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[Assistant] 3


[User]
an employee ’ s annual salary was increased $ 5,000. if her new annual salary now equals $ 25000 what was the percent increase?
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[Assistant] 80 %

[User]
the price of a cycle is reduced by 25 per cent. the new price is reduced by a further 50 per cent. the two reductions together are equal to a single reduction of
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[Assistant] 62.5 %

[User]
in a school 10 % of the boys are same in number as 1 / 2 th of the girls. what is the ratio of boys to the girls in the school?
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[Assistant] 5 : 1

[User]
audrey 4 hours to complete a certain job. ferris can do the same job in 3 hours. audrey and ferris decided to collaborate on the job, working at their respective rates. while audrey worked continuously, ferris took 6 breaks of equal length. if the two completed the job together in 2 hours, how many minutes long was each of ferris ’ breaks?
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[Assistant] 5

[User]
by selling an article at rs. 250, a profit of 25 % is made. find its cost price?
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[Assistant] s. 200


[User]
a can do a work in 6 days, b can do a work in 8 days and c can do it in 12 days. b left work after 6 days. for how many number of days should a and c should work together to complete the remaining work?
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[Assistant] 1

[User]
4 guys buy same cellphones cost them 250 each. two guy have 25 % of for his first cellphone. what is the total cost all of them pay to seller.
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[Assistant] 875

[User]
if x and y are integers and | x - y | = 11, what is the minimum possible value of xy?
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[Assistant] - 30

[User]
15 : 5 seconds : :? : 10 minutes
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[Assistant] 30

[User]
a train 75 m long takes 6 sec to cross a man walking at 5 kmph in a direction opposite to that of the train. find the speed of the train?
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[Assistant] 40 kmph


[User]
there are 17 teams in the hockey league, and each team faces all the other teams 10 times each. how many games are played in the season?
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[Assistant] 1360

[User]
in how many ways can 7 boys be seated in a circular order?
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[Assistant] 720

[User]
if n = 8 ^ 9 – 8, what is the units digit of n?
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[Assistant] 0

[User]
a, b, c subscribe rs. 50,000 for a business. if a subscribes rs. 4000 more than b and b rs. 5000 more than c, out of a total profit of rs. 40,000, what will be the amount a receives?
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[Assistant] 16800

[User]
30 carrots on a scale weigh 5.94 kg. when 3 carrots are removed from the scale, the average weight of the 27 carrots is 200 grams. what is the average weight ( in grams ) of the 3 carrots which were removed?
Answer the question using a single word or phrase.

[Assistant] 180


[User]
two trains start at same time from two stations and proceed towards each other at the rate of 20 km / hr and 25 km / hr respectively. when they meet, it is found that one train has traveled 75 km more than the other. what is the distance between the two stations?
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[Assistant] 675 km

[User]
what is the smallest positive integer x such that 120 - x is the cube of a positive integer?
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[Assistant] 5

[User]
two ants, arthur and amy, have discovered a picnic and are bringing crumbs back to the anthill. amy makes twice as many trips and carries one and a half times as many crumbs per trip as arthur. if arthur carries a total of c crumbs to the anthill, how many crumbs will amy bring to the anthill, in terms of c?
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[Assistant] 3 x

[User]
a shopkeeper forced to sell at cost price, uses a 850 grams weight for a kilogram. what is his gain percent?
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[Assistant] 17.65 %

[User]
in a mayoral election, candidate x received 2 / 3 more votes than candidate y, and candidate y received 1 / 3 fewer votes than z. if z received 27,000 votes how many votes did candidate x received?
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[Assistant] 30000


[User]
a cubical block of metal weighs 4 pounds. how much will another cube of the same metal weigh if its sides are twice as long?
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[Assistant] 32

[User]
the price of a coat in a certain store is $ 500. if the price of the coat is to be reduced by $ 200, by what percent is the price to be reduced?
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[Assistant] 40 %

[User]
bob wants to run a mile in the same time as his sister. if bob ’ s time for a mile is currently 10 minutes 40 seconds and his sister ’ s time is currently 10 minutes 8 seconds, by what percent does bob need to improve his time in order run a mile in the same time as his sister?
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[Assistant] 5 %

[User]
when a mobile is sold for rs. 24000, the owner loses 40 %. at what price must that mobile be sold in order to gain 40 %?
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[Assistant] 56,000

[User]
bella is taking a trip in her car from new york ( point a ) chicago, illinois ( point b ). she is traveling at an average speed of 50 miles per hour, if the total distance from point a to point b is 790 miles, in approximately how long will bella reach her destination?
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[Assistant] 15.80 hours


[User]
because he ’ s taxed by his home planet, mork pays a tax rate of 10 % on his income, while mindy pays a rate of 20 % on hers. if mindy earned 3 times as much as mork did, what was their combined tax rate?
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[Assistant] 17.5 %

[User]
three numbers are in the ratio 4 : 5 : 6 and their average is 36. the largest number is :
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[Assistant] 43.2

[User]
the probability that event a occurs is 0.4, and the probability that events a and b both occur is 0.25. if the probability that either event a or event b occurs is 0.6, what is the probability that event b will occur?
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[Assistant] 0.45

[User]
there are 437 doctors and nurses in a hospital. if the ratio of the doctors to the nurses is 8 : 11, then how many nurses are there in the hospital?
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[Assistant] 253

[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 14 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] 420


[User]
how many integers from 0 to 50 inclusive have a remainder of 3 when divided by 8?
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[Assistant] 6

[User]
two brothers took the gmat exam, the higher score is x and the lower one is y. if the difference between the two scores is 1 / 5, what is the value of x / y?
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[Assistant] 5

[User]
how much interest will $ 10,000 earn in 9 months at an annual rate of 3 %?
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[Assistant] $ 225

[User]
the average weight of 20 persons sitting in a boat had some value. a new person added to them whose weight was 47 kg only. due to his arrival, the average weight of all the persons decreased by 5 kg. find the average weight of first 20 persons?
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[Assistant] 58

[User]
p can do a work in 24 days. q can do the samework in 9 days & r can do the same work in 12 days. q & r start the work and leave after 3 days. p finishes the remaining work in how many days.
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[Assistant] 10


[User]
what is the difference between the c. i. on rs. 8000 for 1 1 / 2 years at 4 % per annum compounded yearly and half - yearly?
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[Assistant] s. 3.26

[User]
the number of timeshare condos available at sunset beach is 2 / 5 the number of timeshare condos available at playa del mar. if the total number of timeshare condos available at the two beaches combined is 210, what is the difference between the number of condos available at sunset beach and the number of condos available at playa del mar?
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[Assistant] 90

[User]
a can do a particular work in 6 days. b can do the same work in 8 days. a and b signed to do it for rs. 3840. they completed the work in 3 days with the help of c. how much is to be paid to c?
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[Assistant] s. 480

[User]
on dividing 13698 by a certain number, we get 89 as quotient and 14 as remainder. what is the divisor?
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[Assistant] 154

[User]
a store owner estimates that the average price of type a products will increase by 30 % next year and that the price of type b products will increase by 10 % next year. this year, the total amount paid for type a products was $ 4500 and the total price paid for type b products was $ 8300. according to the store owner's estimate, and assuming the number of products purchased next year remains the same as that of this year, how much will be spent for both products next year?
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[Assistant] $ 14,980


[User]
a father said his son, ` ` i was as old as you are at present at the time of your birth. ` ` if the father age is 38 now, the son age 5 years back was
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[Assistant] 14

[User]
the number of people who purchased book a is twice the number of people who purchased book b. the number of people who purchased both books a and b is 500, which is twice the number of people who purchased only book b. what is the number of people x who purchased only book a?
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[Assistant] 1000

[User]
a sum of money at simple interest amounts to rs. 825 in 3 years and to rs. 854 in 4 years. the sum is?
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[Assistant] rs. 738

[User]
in how many seconds will a train 150 meters long pass an oak tree, if the speed of the train is 54 km / hr?
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[Assistant] 10

[User]
cereal a is 10 % sugar by weight, whereas healthier but less delicious cereal b is 3 % 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?
Answer the question using a single word or phrase.

[Assistant] 1 : 6


[User]
in a certain game, each player scores either 2 points or 5 points. if n players score 2 points and m players score 5 points, and the total number of points scored is 50, what is the least possible positive e difference between n and m?
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[Assistant] 3

[User]
4 years ago, paula was 4 times as old as karl. in 4 years, paula will be twice as old as karl. what is the sum of their ages now?
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[Assistant] 28

[User]
a palindrome is a word or a number that reads the same forward and backward. for example, 2442 and 111 are palindromes. if 5 - digit palindromes are formed using one or more of the digits 1, 2, 3, 4, and 5, how many palindromes are possible?
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[Assistant] 125

[User]
if the personal income tax rate is lowered from 40 % to 33 %, what is the differential savings for a tax payer having an annual income before tax to the tune of $ 45000?
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[Assistant] $ 3150

[User]
the length of minute hand of a clock is 5.4 cm. what is the area covered by this in 10 minutes
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[Assistant] 15.27


[User]
a pipe takes a hours to fill the tank. but because of a leakage it took 4 times of its original time. find the time taken by the leakage to empty the tank
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[Assistant] 80 min

[User]
the compound interest on $ 30,000 at 7 % per annum is $ 4347. the period ( in years ) is :
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[Assistant] 2

[User]
jonathan can type a 50 page document in 40 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] 10 minutes

[User]
find the annual income derived by investing $ 6800 in 30 % stock at 136.
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[Assistant] 1500

[User]
joe ’ s average ( arithmetic mean ) test score across 4 equally weighted tests was 90. he was allowed to drop his lowest score. after doing so, his average test score improved to 85. what is the lowest test score that was dropped?
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[Assistant] 75


[User]
the average age of 6 men increases by 2 years when two women are included in place of two men of ages 10 and 12 years. find the average age of the women?
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[Assistant] 17

[User]
it takes 35 identical printing presses 15 hours to print 500,000 papers. how many hours would it take 25 of these printing presses to print 500,000 papers?
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[Assistant] 21

[User]
3639 + 11.95 - x = 3054. find the value of x.
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[Assistant] 596.95

[User]
a pharmaceutical company received $ 3 million in royalties on the first $ 20 million in sales of and then $ 9 million in royalties on the next $ 108 million in sales. by approximately what percentage did the ratio of royalties to sales decrease from the first $ 20 million in sales to the next $ 104 million in sales?
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[Assistant] 42 %

[User]
the cost per pound of milk powder and coffee were the same in june. in july, the price of coffee shot up by 300 % and that of milk powder dropped by 80 %. if in july, a mixture containing equal quantities of milk powder and coffee costs $ 6.30 for 3 lbs, how much did a pound of milk powder cost in july?
Answer the question using a single word or phrase.

[Assistant] $ 0.2


[User]
a certain class of students is being divided into teams. the class can either be divided into 18 teams with an equal number of players on each team or 24 teams with an equal number of players on each team. what is the lowest possible number of students in the class?
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[Assistant] 72

[User]
a bus started its journey from mumbai and reached pune in 44 min with its average speed of 50 km / hr. if the average speed of the bus is increased by 5 km / hr, how much time will it take to cover the same distance?
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[Assistant] 40 min

[User]
how many positive integers less than 250 are there such that they are multiples of 15 or multiples of 16?
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[Assistant] 30.

[User]
if ( 5 - x ) / ( 5 + x ) = x, what is the value of x ^ 2 + 6 x - 5?
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[Assistant] 0

[User]
1 / 2 - [ ( 2 / 7 * 7 / 32 ) + 1 ] + 9 / 16 =
Answer the question using a single word or phrase.

[Assistant] 0


[User]
if a person buy radio worth rs 2468 and pay 7 % sales. how much price of radio should reduce to pay only rs 2468.
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[Assistant] 162

[User]
3 buffaloes eat as much as 4 cows or 2 oxen. at a farm, there are 15 buffaloes, 8 oxen, and 24 cows. the fodder for these cattle is available for 48 days. if 60 more cows and 30 more buffaloes are brought in, how many days will the fodder last?
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[Assistant] 18 days

[User]
the difference between a number and its three - fifth is 50. what is the number?
Answer the question using a single word or phrase.

[Assistant] 125

[User]
two thirds of the roads from a to b are at least 5 miles long, and 3 / 4 of the roads from b to c are at least 5 miles long. if you randomly pick a road from a to b and then randomly pick a road from b to c, what is the probability that at least one of the roads you pick is at least 5 miles long?
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[Assistant] 11 / 12

[User]
if x = 6 and y = − 2, what is the value of ( x − 2 y ) ^ y?
Answer the question using a single word or phrase.

[Assistant] 0.01


[User]
a rectangular swimming pool is 8 feet by 20 feet. a deck that has uniform width surrounds the pool. the total area of the pool and deck is 540 square feet. what is the width of the deck?
Answer the question using a single word or phrase.

[Assistant] 5

[User]
a 270 m long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. what is the length of the other train?
Answer the question using a single word or phrase.

[Assistant] 230 m

[User]
a sum of money is to be divided among ann, bob and chloe. first, ann receives $ 4 plus one - half of what remains. next, bob receives $ 4 plus one - third of what remains. finally, chloe receives the remaining $ 32. how much money t did bob receive?
Answer the question using a single word or phrase.

[Assistant] 22

[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 40 kilometers, maxwell's walking speed is 3 km / h, and brad's running speed is 5 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] 15

[User]
in a urban village of india named ` ` owlna ' ', 70 % people have refrigerator, 75 % people have television, 65 % people got computers and 95 % got air - conditionor. how many people ( minimum ) got all these luxury.
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[Assistant] 5 %


[User]
in a group of 12 engineers, 4 engineers have a phd degree ; the others have only an ms or bs degree. a team of 4 engineers is to be chosen which must have at least 1 engineer with a phd, how many different teams can be chosen?
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[Assistant] 425

[User]
what will be the ci on a sum of rs. 25000 after 3 years at the rate of 12 per year?
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[Assistant] rs. 10123.20

[User]
if a person walks at 15 km / hr instead of 10 km / hr, he would have walked 10 km more. the actual distance traveled by him is?
Answer the question using a single word or phrase.

[Assistant] 30 km

[User]
a rectangular grass field is 85 m * 55 m, it has a path of 2.5 m wide all round it on the outside. find the area of the path and the cost of constructing it at rs. 2 per sq m?
Answer the question using a single word or phrase.

[Assistant] 1450

[User]
the speed at which a man can row a boat in still water is 18 kmph. if he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres?
Answer the question using a single word or phrase.

[Assistant] 15.4 seconds


[User]
two trains are moving at 50 kmph and 70 kmph in opposite directions. their lengths are 170 m and 100 m respectively. the time they will take to pass each other completely is?
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[Assistant] 8 sec

[User]
having scored 96 runs in the 19 th inning, a cricketer increases his average score by 4. what will be his average score after 19 innings?
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[Assistant] 24

[User]
what is the greatest possible length which can be used to measure exactly the lengths 8 m, 4 m 20 cm and 12 m 20 cm?
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[Assistant] 20 cm

[User]
what least number should be added to 1019, so that the sum is completely divisible by 25?
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[Assistant] 6

[User]
if x = 1 + √ 2, then what is the value of x 4 - 4 x 3 + 4 x 2 + 5?
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[Assistant] 6


[User]
a man is walking at a speed of 10 km per hour. after every kilometre, he takes rest for 5 minutes. how much time will be take to cover a distance of 5 kilometres?
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[Assistant] 50 min.

[User]
an error 4 % in excess is made while measuring the side of a square. the percentage of error in the calculated area of the square is
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[Assistant] 8.16 %

[User]
harkamal purchased 8 kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg. how much amount did he pay to the shopkeeper?
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[Assistant] 1055

[User]
if x and y are integers such that ( x + 1 ) ^ 2 is less than or equal to 9 and ( y - 1 ) ^ 2 is less than 64, what is the sum of the maximum possible value of xy and the minimum possible value of xy?
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[Assistant] - 8

[User]
the difference between a two - digit number and the number obtained by interchanging the two digits is 63. which is the smaller of the two numbers?
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[Assistant] can not be determined


[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 12 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] 3960

[User]
how many positive integers less than 5,000 are evenly divisible by neither 13 nor 21?
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[Assistant] 4,349

[User]
a train leaves delhi at 9 a. m. at a speed of 30 kmph. another train leaves at 2 p. m. at a speed of 40 kmph on the same day and in the same direction. how far from delhi, will the two trains meet?
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[Assistant] 600 km

[User]
what is difference between biggest and smallest fraction among 2 / 5, 3 / 4, 4 / 5 and 5 / 6
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[Assistant] none of these

[User]
a 5 % stock yields 10 %. the market value of the stock is :
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[Assistant] rs. 50


[User]
a train 120 m long passes a man, running at 6 kmph in the direction opposite to that of the train, in 6 seconds. the speed of the train is
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[Assistant] 66 kmph

[User]
every day daniel drives 64 miles back from work. on sunday, daniel drove all the way back from work at a constant speed of x miles per hour. on monday, daniel drove the first 32 miles back from work at ( 2 x ) miles per hour, and the rest of the way at ( x / 2 ) miles per hour. the time it took daniel to drive back from work on monday is longer than the time it took him to drive back from work on sunday by what percent?
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[Assistant] 25 %

[User]
the diagonal of a rhombus are 25 m and 50 m. its area is :
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[Assistant] 625

[User]
what is the angle between the hands of a clock when time is 10 : 20?
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[Assistant] 90 deg

[User]
the diameter of a cylindrical tin is 14 cm and height is 5 cm. find the volume of the cylinder?
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[Assistant] 245


[User]
if 40 men take 15 days to to complete a job, in how many days can 25 men finish that work?
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[Assistant] 24

[User]
it takes printer a 4 more minutes more than printer b to print 40 pages. working together, the two printers can print 50 pages in 6 minutes. how long will it take printer a to print 160 pages?
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[Assistant] 48

[User]
find the cost of fencing around a circular field of diameter 22 m at the rate of rs. 3 a meter?
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[Assistant] 207.3

[User]
there are 6 people in the elevator. their average weight is 156 lbs. another person enters the elevator, and increases the average weight to 151 lbs. what is the weight of the 7 th person.
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[Assistant] 121

[User]
each child has 2 pencils and 13 skittles. if there are 15 children, how many pencils are there in total?
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[Assistant] 30


[User]
if a certain number x is divided by 62, the reminder is 7. what is the reminder when x + 11 is divided by 31?
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[Assistant] 18

[User]
if 7 ^ w is a factor of the product of the integers from 1 to 100, inclusive, what is the largest value of w?
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[Assistant] 16

[User]
if 2 pipes take an hour to fill a tank, then how long should 8 pipes take to fill the same tank?
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[Assistant] 15 min

[User]
there are 6 chess amateurs playing in villa's chess club tournament. if each chess amateur plays with exactly 4 other amateurs, what is the total number of chess games possible to be played in the tournament?
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[Assistant] 12

[User]
a jar full of whisky contains 30 % alcohol. a part of this whisky is replaced by another containg 19 % alcohol and now the percentage of alcohol was found to be 26 %. what quantity of whisky is replaced?
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[Assistant] 1 / 3


[User]
worker a takes 4 hours to do a job. worker b takes 10 hours to do the same job. how long it take both a & b, working together but independently, to do the same job?
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[Assistant] 40 / 14

[User]
express a speed of 30 kmph in meters per second?
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[Assistant] 8 mps

[User]
in a maths test, students were asked to find 5 / 16 of a certain number. one of the students by mistake found 5 / 6 th of that number and his answer was 100 more than the correct answer. find the number.
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[Assistant] 192

[User]
a boat running up stram takes 6 hours to cover a certain distance, while it takes 9 hours to cover the same distance running down stream. what is the ratio between the speed of the boat and the speed of water current respectively?
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[Assistant] 5 : 1

[User]
the cost price of a radio is rs. 1900 and it was sold for rs. 1330, find the loss %?
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[Assistant] 30 %


[User]
someone on a skateboard is traveling 13 miles per hour. how many feet does she travel in 25 seconds? ( 1 mile = 5280 feet )
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[Assistant] 476.75 ft

[User]
there are 4 more women than there are men on a local co - ed softball team. if there are a total of 14 players on the team, what is the ratio of men to women?
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[Assistant] 5 / 9

[User]
8900 ÷ 6 ÷ 4 =?
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[Assistant] 370.833

[User]
the markup on a box of apples is 10 percent of the cost. the markup is what percent of the selling price? ( markup = selling price - cost )
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[Assistant] 9.09 %

[User]
a train speeds past a pole in 15 seconds and a platform 100 m long in 40 seconds. its length is?
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[Assistant] 100 m


[User]
a train running at the speed of 30 km / hr crosses a pole in 12 seconds. what is the length of the train?
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[Assistant] 100

[User]
three numbers are in the ratio 3 : 4 : 5 and their l. c. m is 2400. their h. c. f is :
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[Assistant] 40

[User]
how many positive integers less than 9999 are such that the product of their digits is 210.
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[Assistant] 24

[User]
two stations p and q are 65 km apart on a straight track. one train starts from p at 7 a. m. and travels towards q at 20 kmph. another train starts from q at 8 a. m. and travels towards p at a speed of 25 kmph. at what time will they meet?
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[Assistant] 9 am

[User]
a store reported total sales of $ 385 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 w in sales?
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[Assistant] 20 %


[User]
a man saves 10 % of his monthly salary. if an account of dearness of things he is to increase his monthly expenses by 5 %, he is only able to save rs. 400 per month. what is his monthly salary?
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[Assistant] rs. 7273

[User]
working individually, emma can wrap presents for 6 hours and troy can wrap presents in 8 hours. if emma and troy work together but independently at the task for 2 hours, at which point troy leaves, how many remaining hours will it take emma to complete the task alone?
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[Assistant] 30 / 12

[User]
the length of a rectangular plot is 20 metres more than its breadth. if the cost of fencing the plot @ rs. 26.50 per metre is rs. 8480, what is the length of the plot in metres?
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[Assistant] 90

[User]
find the last digit of ( 1021 ^ 3921 ) + ( 3081 ^ 3921 )
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[Assistant] 2

[User]
a certain electric - company plan offers customers reduced rates for electricity used between 8 p. m. and 8 a. m. weekdays and 24 hours a day saturdays and sundays. under this plan, the reduced rates z apply to what fraction of a week?
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[Assistant] 9 / 14