[User]
jack and jill work at a hospital with 6 other workers. for an internal review, 2 of the 8 workers will be randomly chosen to be interviewed. what is the probability that jack and jill will both be chosen?
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[Assistant] 1 / 28

[User]
a pupil's marks were wrongly entered as 83 instead of 70. due to the average marks for the class got increased by half. the number of pupils in the class is?
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[Assistant] 26

[User]
calculate the average of all the numbers between 18 and 57 which are divisible by 7.
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[Assistant] 38.5

[User]
what is the square root of 6,561?
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[Assistant] 81

[User]
a trained covered x km at 50 kmph and another 2 x km at 20 kmph. find the average speed of the train in covering the entire 3 x km.
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[Assistant] 25


[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 / 3, what is the value of y / x?
Answer the question using a single word or phrase.

[Assistant] 1 / 4

[User]
a drink vendor has 60 liters of maaza, 144 liters of pepsi and 368 liters of sprite. he wants to pack them in cans, so that each can contains the same number of liters of a drink, and does n't want to mix any two drinks in a can. what is the least number of cans required?
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[Assistant] 143

[User]
when 1 / 10 % of 4,000 is subtracted from 1 / 10 of 4,000, the difference is
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[Assistant] 396

[User]
if 15 % of 30 % of 50 % of a number is 99, then what is the number?
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[Assistant] 4400

[User]
working together, printer a and printer b would finish the task in 24 minutes. printer a alone would finish the task in 60 minutes. how many pages does the task contain if printer b prints 4 pages a minute more than printer a?
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[Assistant] 480


[User]
if a farmer wants to plough a farm field on time, he must plough 100 hectares a day. for technical reasons he ploughed only 85 hectares a day, hence he had to plough 2 more days than he planned and he still has 40 hectares left. what is the area of the farm field and how many days the farmer planned to work initially?
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[Assistant] 1400

[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 3 teams, how many ny mets fans are there in this town?
Answer the question using a single word or phrase.

[Assistant] 88

[User]
a retailer sells 5 shirts. he sells first 2 shirts for $ 30 and $ 20. if the retailer wishes to sell the 5 shirts for an overall average price of over $ 30, what must be the minimum average price of the remaining 3 shirts?
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[Assistant] $ 33.33

[User]
ratio between rahul and deepak is 4 : 3, after 10 years rahul age will be 26 years. what is deepak present age.
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[Assistant] 12

[User]
difference of two numbers is 1760. if 7.5 % of the number is 12.5 % of the other number, find the number?
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[Assistant] 3660, 4400


[User]
if a clock strikes 12 in 33 seconds, it will strike 6 in how many seconds?
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[Assistant] 15

[User]
car a runs at the speed of 50 km / hr & reaches its destination in 8 hr. car b runs at the speed of 25 km / h & reaches its destination in 4 h. what is the respective ratio of distances covered by car a & car b?
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[Assistant] 4 : 1

[User]
from january 1, 1991, to january 1, 1993, the number of people enrolled in health maintenance organizations increased by 25 percent. the enrollment on january 1, 1993, was 45 million. how many million people, to the nearest million, were enrolled in health maintenance organizations on january 1, 1991?
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[Assistant] 36

[User]
if 3 people a, b, c can do a work simultaneously in 6 days. a and b can do work in 10 days. b and c can do work in 15 days. c and a can do the same work in 20 days. in how many days that a can complete the same work alone?
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[Assistant] 24

[User]
a farmer has an apple orchard consisting of fuji and gala apple trees. due to high winds this year 10 % of his trees cross pollinated. the number of his trees that are pure fuji plus the cross - pollinated ones totals 170, while 3 / 4 of all his trees are pure fuji. how many of his trees are pure gala?
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[Assistant] 30


[User]
a man is 46 years older than his son. in two years, his age will be twice the age of his son. the present age of his son is :
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[Assistant] 44 years

[User]
pipe a that can fill a tank in an hour and pipe b that can fill the tank in half an hour are opened simultaneously when the tank is empty. pipe b is shut 10 minutes before the tank overflows. when will the tank overflow?
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[Assistant] 37 mins

[User]
what is the maximum value of vx - yz. if the value of v, x, y, z have to be chosen from the set a where a ( - 3, - 2, - 1, 01, 23 )
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[Assistant] 15

[User]
x and y are two towns. ganesh covers the distance from x to y at an average speed of 54 km / hr. however, he covers the distance from y to x at an average speed of 36 km / hr. his average speed during the whole journey in km / hr. is :
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[Assistant] 43.2

[User]
p runs 20 % faster than q so p gives q a 50 meter head start. if the race ends in a tie, how far ( in meters ) did p run in the race?
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[Assistant] 300


[User]
suppose 10 monkeys take 10 minutes to eat 10 bananas. how many monkeys would it take to eat 70 bananas in 70 minutes?
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[Assistant] 10

[User]
a man walks at a rate of 10 mph. after every ten miles, he rests for 5 minutes. how much time does he take to walk 50 miles?
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[Assistant] 320

[User]
on a map, 4.5 inches represent 45 miles. how many miles approximately is the distance if you measured 254 centimeters assuming that 1 - inch is 2.54 centimeters?
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[Assistant] 1000

[User]
what is the total number of positive integers that are less than 400 and that have no positive factor in common with 400 other than 1?
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[Assistant] 160

[User]
john bought 9.25 m of cloth for $ 416.25. find the cost price per metre.
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[Assistant] 45


[User]
if p is a prime number greater than 3, find the remainder when p ^ 2 + 12 is divided by 12.
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[Assistant] 1

[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 15 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] 432

[User]
what is the rate percent when the simple interest on rs. 910 amount to rs. 260 in 4 years?
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[Assistant] 7.14

[User]
in 1979 approximately 1 / 3 of the 37.3 million airline passengers traveling to or from the united states used kennedy airport. if the number of such passengers that used miami airport was 1 / 4 the number that used kennedy airport and 3 times the number that used logan airport, approximately how many millions of these passengers used logan airport that year?
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[Assistant] 1.03

[User]
if $ 792 are divided between worker a and worker b in the ratio 5 : 6, what is the share that worker b will get?
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[Assistant] 54.54 %


[User]
evaluate : 1182 - 12 * 3 * 2 =?
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[Assistant] 174

[User]
if a ( a - 4 ) = 5 and b ( b - 4 ) = 5, where a ≠ b, then a + b =
Answer the question using a single word or phrase.

[Assistant] 4

[User]
in a software company 4 / 10 of people know c + +, 2 / 4 of them know java, 2 / 8 of them know neither, find the total possibility to know c + +?
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[Assistant] 1 / 4

[User]
the average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 10 years. find the average age of the women?
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[Assistant] 23

[User]
the number 0.8 is how much greater than 1 / 2?
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[Assistant] 3 / 10


[User]
two trains running in opposite directions cross a man standing on the platform in 20 seconds and 18 seconds respectively and they cross each other in 19 seconds. the ratio of their speeds is :
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[Assistant] 1 : 1

[User]
cindy has her eye on a sundress but thinks it is too expensive. it goes on sale for 15 % less than the original price. before cindy can buy the dress, however, the store raises the new price by 25 %. if the dress cost $ 68 after it went on sale for 15 % off, what is the difference between the original price and the final price?
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[Assistant] $ 5.00

[User]
the cost per pound of milk powder and coffee were the same in june. in july, the price of coffee shot up by 200 % and that of milk powder dropped by 60 %. if in july, a mixture containing equal quantities of milk powder and coffee costs $ 5.10 for 3 lbs, how much did a pound of milk powder cost in july?
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[Assistant] $ 0.4

[User]
on the richter scale, which measures the total amount of energy released during an earthquake, a reading of x - 1 indicates one - tenth the released energy as is indicated by a reading of x. on that scale, the frequency corresponding to a reading of 2 is how many times as great as the frequency corresponding to a reading of 8?
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[Assistant] 10 ^ 6

[User]
a train leaves mumabai at 9 am at a speed of 40 kmph. after one hour, another train leaves mumbai in the same direction as that of the first train at a speed of 60 kmph. when and at what distance from mumbai do the two trains meet?
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[Assistant] 120


[User]
for any number z, z * is defined as the greatest positive even integer less than or equal to y. what is the value of 6.30 – 6.30 *?
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[Assistant] 0.3

[User]
the guests at a football banquet consumed a total of 406 pounds of food. if no individual guest consumed more than 2.5 pounds of food, what is the minimum number of guests that could have attended the banquet?
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[Assistant] 163

[User]
in a group of 600 readers who read science fiction or literacy works or both, 200 read science fiction and 230 read literacy works. how many read both science fiction and literacy works?
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[Assistant] 30

[User]
if x : y = 3 : 5, find the value of ( 2 x + 4 y ) : ( 3 x – y )
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[Assistant] 13 : 2

[User]
if daily wages of a man is double to that of a woman, how many men should work for 20 days to earn rs. 14400? given that wages for 40 women for 30 days are rs. 21600.
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[Assistant] 20


[User]
what is the greatest positive integer t such that 3 ^ t is a factor of 9 ^ 10?
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[Assistant] t = 20

[User]
in a ratio which is equal to 3 : 4, if the antecedent is 12, then the consequent is?
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[Assistant] 16

[User]
what is the rate percent when the simple interest on rs. 4000 amount to rs. 640 in 2 years?
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[Assistant] 8 %

[User]
if 2 x + y = 7 and x + 2 y = 8, then ( x + y ) / 3 =
Answer the question using a single word or phrase.

[Assistant] 5 / 3

[User]
farm tax is levied on the 90 % of the cultivated land. the tax department collected total $ 3840 through the farm tax from the village of mr. william. mr. william paid only $ 480 as farm tax. the percentage of total land of mr. willam over the total taxable land of the village is :
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[Assistant] 13.88 %


[User]
the average salary of a person for the months of january, february, march and april is rs. 8000 and that for the months february, march, april and may is rs. 8500. if his salary for the month of may is rs. 6500, find his salary for the month of january?
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[Assistant] 4500

[User]
don and his wife each receive an 8 percent annual raise. if don receives a raise rs. 800 and his wife receives a raise of rs. 840, what is the difference between their annual income after their raises?
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[Assistant] 540

[User]
if the simple interest on a sum of money for 2 years at 5 % per annum is rs. 50, what will be the compound interest on same values
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[Assistant] rs 51.25

[User]
if x + y = 300, x - y = 200, for integers of x and y, y =?
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[Assistant] 250

[User]
ramu bought an old car for rs. 42000. he spent rs. 13000 on repairs and sold it for rs. 66900. what is his profit percent?
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[Assistant] 21.6


[User]
a can do a work in 8 days. b can do the same work in 16 days. if both a & b are working together in how many days they will finish the work?
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[Assistant] 16 / 3 days

[User]
tom, working alone, can paint a room in 6 hours. peter and john, working independently, can paint the same room in 3 hours and 6 hours, respectively. tom starts painting the room and works on his own for one hour. he is then joined by peter and they work together for an hour. finally, john joins them and the three of them work together to finish the room, each one working at his respective rate. what fraction of the whole job was done by peter?
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[Assistant] 1 / 2

[User]
if ( 1 – 1.25 ) n = 5, then n =
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[Assistant] − 20

[User]
if in a race of 70 m, a covers the distance in 20 seconds and b in 25 seconds, then a beats b by :
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[Assistant] 14 m

[User]
a certain social security recipient will receive an annual benefit of $ 12000 provided he has annual earnings of $ 9360 or less, but the benefit will be reduced by $ 1 for every $ 3 of annual earnings over $ 9360. what amount of total annual earnings would result in a 65 percent reduction in the recipient's annual social security benefit? ( assume social security benefits are not counted as part of annual earnings. )
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[Assistant] $ 21,960


[User]
a bus covered a distance of 250 km, partly at an average speed of 40 kmph and partly at 60 kmph. if the total time taken is 5.2 hours, then the distance covered at 40 kmph is
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[Assistant] 124 km

[User]
jane and ashley take 13 1 / 3 days and 40 days respectively to complete a project when they work on it alone. they thought if they worked on the project together, they would take fewer days to complete it. during the period that they were working together, jane took an 8 day leave from work. this led to jane's working for 4 extra days on her own to complete the project. how long did it take to finish the project?
Answer the question using a single word or phrase.

[Assistant] 17 days

[User]
the average ( arithmetic mean ) of all scores on a certain algebra test was 90. if the average of the 8 male students ’ grades was 82, and the average of the female students ’ grades was 92, how many female students took the test?
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[Assistant] 32

[User]
if the length of the longest chord of a certain circle is 24, what is the radius of that certain circle?
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[Assistant] 12

[User]
a leak in the bottom of a tank can empty the full tank in 6 hours. an inlet pipe fills water at the rate of 4 liters per minute. when the tank is full in inlet is opened and due to the leak the tank is empties in 8 hours. the capacity of the tank is?
Answer the question using a single word or phrase.

[Assistant] 5760


[User]
the class mean score on a test was 60, and the standard deviation was 10. if jack's score was within 2 standard deviations of the mean, what is the lowest score he could have received?
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[Assistant] 20

[User]
if an object travels at eight feet per second, how many feet does it travel in one hour?
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[Assistant] 28800

[User]
the ratio of buses to cars on river road is 1 to 10. if there are 90 fewer buses than cars on river road, how many cars are on river road?
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[Assistant] 100

[User]
a merchant marks goods up by 75 % and then offers a discount on the marked price. the profit that the merchant makes after offering the discount is 57.5 %. what % discount did the merchant offer?
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[Assistant] 10 %

[User]
a certain roller coaster has 5 cars, and a passenger is equally likely to ride in any 1 of the 5 cars each time that passenger rides the roller coaster. if a certain passenger is to ride the roller coaster 5 times, what is the probability that the passenger will ride in each of the 5 cars?
Answer the question using a single word or phrase.

[Assistant] 24 / 625


[User]
jane and ashley take 10 days and 40 days respectively to complete a project when they work on it alone. they thought if they worked on the project together, they would take fewer days to complete it. during the period that they were working together, jane took an eight day leave from work. this led to jane's working for four extra days on her own to complete the project. how long did it take to finish the project?
Answer the question using a single word or phrase.

[Assistant] 15.2 days

[User]
if john covers a certain distance in 1 hr. 24 min. by covering two third of the distance at 4 kmph and the rest at 5 kmph, then find the total distance.
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[Assistant] 6 km

[User]
if m and n are positive integers and m ^ 2 + n ^ 2 = 10, what is the value of m ^ 3 + n ^ 3?
Answer the question using a single word or phrase.

[Assistant] 28

[User]
in a certain math department, students are required to enroll in either calculus or trigonometry, each of which is offered in beginner and advanced courses. the number of students enrolled in trigonometry is 50 % greater than the number of students enrolled in calculus, and 90 % of calculus students are enrolled in the beginner course. if 4 / 5 of students are in the beginner courses, and one student is selected at random, what is the probability that an advanced trigonometry student is selected?
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[Assistant] 16 %

[User]
a certain club has 10 members, including jarry. one of the 10 members is chosen at random to be the president, one of the remaining 9 members is to be chosen at random to be the secretary, and one of the remaining 8 members is to be chosen at random to be the treasurer. what is the probability that jarry will be either the member chose to be secretary or the member chose to be treasurer?
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[Assistant] 1 / 5


[User]
two dice are thrown simultaneously. what is the probability of getting two numbers whose product is not an even?
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[Assistant] 1 / 4

[User]
the difference between a number and its two - fifth is 510. what is 40 % of that number?
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[Assistant] 340

[User]
a and b can do a piece of work in 9 days. with the help of c they finish the work in 5 days. c alone can do that piece of work in?
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[Assistant] 11.25 days

[User]
if n is a positive integer and the product of all the integers from 1 to n, inclusive, is a multiple of 123, what is the least possible value of n?
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[Assistant] 41

[User]
the elevator in an 11 - story office building travels at the rate of one floor per 1 / 4 minute, which allows time for picking up and discharging passengers. at the main floor and at the top floor, the operator stops for 1 minute. how many complete trips will an operator make during a 4 - hour period?
Answer the question using a single word or phrase.

[Assistant] 34


[User]
johnny travels a total of one hour to and from school. on the way there he jogs at 5 miles per hour and on the return trip he gets picked up by the bus and returns home at 30 miles per hour. how far is it to the school?
Answer the question using a single word or phrase.

[Assistant] 6.9 miles

[User]
find the product of the localvalue and absolutevalue of 7 in 20768?
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[Assistant] 4900

[User]
a certain no. when divided by 35 leaves a remainder 25, what is the remainder if the same no. be divided by 15?
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[Assistant] 4

[User]
you have a flashlight that takes 2 working batteries. you have 8 batteries but only 4 of them work. what is the fewest number of pairs you need to test to guarantee you can get the flashlight on?
Answer the question using a single word or phrase.

[Assistant] 7

[User]
a certain rectangular window is two times as long as it is wide. if its perimeter is 30 feet, what are its dimensions in terms of length by width?
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[Assistant] 10 by 5


[User]
the average mark of the students of a class in a particular exam is 80. if 5 students whose average mark in that exam is 40 are excluded, the average mark of the remaining will be 90. find the number of students who wrote the exam?
Answer the question using a single word or phrase.

[Assistant] 25

[User]
in a certain alphabet, 16 letters contain a dot and a straight line. 30 letters contain a straight line but do not contain a dot. if that alphabet has 50 letters, all of which contain either a dot or a straight line or both, how many letters contain a dot but do not contain a straight line?
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[Assistant] 4

[User]
evaluate : 13 + sqrt ( - 4 + 5 ã — 3 ã · 3 ) =?
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[Assistant] 14

[User]
at what rate percent on simple interest will rs. 750 amount to rs. 1125 in 5 years?
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[Assistant] 10

[User]
if two positive numbers are in the ratio 1 / 6 : 1 / 5, then by what percent is the second number more than the first?
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[Assistant] 20 %


[User]
a 3 by 4 rectangle is inscribed in circle. what is the circumference of the circle?
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[Assistant] 5 π

[User]
jerome anticipated that the webweb. com stock price would fall and sold all his webweb. com stocks for $ 5 per stock. he paid $ 10,000 tax on the revenue. a week later, jerome became convinced that the webweb. com stock price would rise, and he used the money that he had gotten from selling the webweb. com stocks to purchase them again, this time at $ 6 per stock. if jerome ended up having 6000 webweb. com stocks fewer than the number he had before selling them, how many webweb. com stocks did he have originally?
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[Assistant] 16,000

[User]
a man bought 40 shares of rs. 60 at 5 discount, the rate of dividend being 12 % the rate of interest obtained is
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[Assistant] 13.09 %

[User]
what is the sum of 60 consecutive integers from - 30 inclusive, in a increasing order?
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[Assistant] - 30

[User]
the megatek corporation is displaying its distribution of employees by department in a circle graph. the size of each sector of the graph representing a department is proportional to the percentage of total employees in that department. if the section of the circle graph representing the manufacturing department takes up 18 ° of the circle, what percentage of megatek employees are in manufacturing?
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[Assistant] 5 %


[User]
what is the remainder when 1201 × 1202 × 1203 × 1204 is divided by 6?
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[Assistant] 0

[User]
find two numbers whose sum is 26 and whose product is 165.
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[Assistant] 11 and 15

[User]
a river 7 m deep and 75 m wide is flowing at the rate of 4 kmph the amount of water that runs into the sea per minute is?
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[Assistant] 34996.5

[User]
what is the largest 4 digit number exactly divisible by 24?
Answer the question using a single word or phrase.

[Assistant] 9984

[User]
a survey of n people in the town of eros found that 50 % of them preferred brand a. another survey of 110 people in the town of angie found that 60 % preferred brand a. in total, 55 % of all the people surveyed together preferred brand a. what is the total number of people surveyed?
Answer the question using a single word or phrase.

[Assistant] 220


[User]
if k ^ 3 is divisible by 540, what is the least possible value of integer k?
Answer the question using a single word or phrase.

[Assistant] 30

[User]
the average weight of 8 persons increases by 1.5 kg when a person weighting 65 kg is replaced by a new person. what could be the weight of the new person?
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[Assistant] 77 kg

[User]
what is the remainder when ( 71 ) ( 73 ) is divided by 8?
Answer the question using a single word or phrase.

[Assistant] 7

[User]
if the product of 8 integers is negative, at most how many of the integers can be negative?
Answer the question using a single word or phrase.

[Assistant] 7

[User]
shopkeeper rise price by 35 % and gives successive discount of 10 % and 15 %. what is overall % gain or loss?
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[Assistant] 3.275 %


[User]
in what ratio must tea at rs. 65 per kg be mixed with tea at rs. 70 per kg so that the mixture must be worth rs. 6 per kg?
Answer the question using a single word or phrase.

[Assistant] 1 : 1

[User]
a briefcase has a number - lock system containing a combination of 3 digits ( each digit can be of numbers 0 to 8 ). if the correct combination is unknown, how much maximum time would be required to open the bag if each “ trial ” of combination takes 3 seconds?
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[Assistant] 36.45 minutes

[User]
a driver just filled the car's gas tank with 27 liters of gasohol, a mixture consisting of 5 % ethanol and 95 % gasoline. if the car runs best on a mixture consisting of 10 % ethanol and 90 % gasoline, how many liters of ethanol must be added into the gas tank for the car to achieve optimum performance?
Answer the question using a single word or phrase.

[Assistant] 1.5

[User]
if money is invested at r percent interest, compounded annually, the amount of investment will double in approximately 70 / r years. if pat's parents invested $ 8000 in a long term bond that pays 4 percent interest, compounded annually, what will be the approximate total amount of investment 36 years later, when pat is ready for college?
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[Assistant] $ 32000

[User]
eddy and freddy start simultaneously from city a and they travel to city b and city c respectively. eddy takes 3 hours and freddy takes 4 hours to complete the journey. if the distance between city a and city b is 600 kms and city a and city c is 460 kms. what is the ratio of their average speed of travel? ( eddy : freddy )
Answer the question using a single word or phrase.

[Assistant] 40 / 23


[User]
a train 280 m long is running at a speed of 54 km / hr. in what time will it pass a bridge 200 m long?
Answer the question using a single word or phrase.

[Assistant] 32 sec

[User]
a marketing survey of anytown found that the ratio of trucks to sedans to motorcycles was 3 : 7 : 2, respectively. given that there are 10,500 sedans in anytown, how many motorcycles are there?
Answer the question using a single word or phrase.

[Assistant] 3000

[User]
what is the sum of the 1 st 6 prime numbers greater than 10?
Answer the question using a single word or phrase.

[Assistant] 112

[User]
$ 8,000 is deposited in a savings account that pays 12 % annual interest compounded semiannually. to the nearest dollar, how much is in the account at the end of the year?
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[Assistant] $ 8988.80

[User]
a, b and c can do a piece of work in 9 days, 14 days and 28 days respectively. how long will they taken, if all the three work together?
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[Assistant] 4.52 days


[User]
in a division sum, the divisor is 12 times the quotient and 6 times the remainder. if the remainder is 24, what is the divident?
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[Assistant] 1752

[User]
to be considered for “ movie of the year, ” a film must appear in at least 1 / 4 of the top - 10 - movies lists submitted by the cinematic academy ’ s 775 members. what is the smallest number of top - 10 lists a film can appear on and still be considered for “ movie of the year ”?
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[Assistant] 194

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

[User]
if a / b = 1 / 3, b / c = 2, c / d = 1 / 2, d / e = 3 and e / f = 1 / 8, then what is the value of abc / def?
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[Assistant] 3 / 16

[User]
share rs. 4320 among john, jose & binoy in the ration 2 : 4 : 6. find the amount received by john?
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[Assistant] 1440


[User]
a man rows his boat 78 km downstream and 56 km upstream, taking 4 hours each time. find the speed of the stream?
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[Assistant] 3

[User]
tom purchased 8 kg of apples 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]
a car traveling at a certain constant speed takes 10 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 40 kilometers per hour. at what speed, in kilometers per hour, is the car traveling?
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[Assistant] 36

[User]
a camera lens filter kit containing 5 filters sells for $ 87.50. if the filters are purchased individually, 2 of them are priced at $ 16.45 each, 2 at $ 14.05 each, 1 at $ 19.50. the amount saved by purchasing the kit is what percent of the total price of the 5 filters purchased individually?
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[Assistant] 8 %

[User]
a man swims downstream 30 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water?
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[Assistant] 8


[User]
if a speaks the truth 75 % of the times, b speaks the truth 60 % of the times. what is the probability that they tell the truth at the same time
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[Assistant] 0.45

[User]
what is the positive difference between the sum of the squares of the first 3 positive integers and the sum of the prime numbers between the first square and fourth square?
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[Assistant] 27

[User]
the charge for a single room at hotel p is 40 percent less than the charge for a single room at hotel r and 10 percent less than the charge for a single room at hotel g. the charge for a single room at hotel r is what percent greater than the charge for a single room at hotel g?
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[Assistant] 50 %

[User]
sale of rs 6835, rs. 9927, rs. 6855, rs. 7230 and rs. 6562 for 5 consecutive months. how much sale must he have in the sixth month so that he gets an average sale of rs, 6800?
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[Assistant] 6791

[User]
in a group of cheerleaders, the group made of 10 males and 16 females. every cheerleader gets to choose between a coke or malt. the number of those that choose malt is double the number that chose coke, if all the 6 males choose malt, how many females chose malt?
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[Assistant] 8


[User]
if a certain number is divided by 5, the quotient, dividend, and divisor, added together, will amount to 65. what is the number?
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[Assistant] 50

[User]
if t = 5 / 9 * ( k - 32 ), and if t = 105, then what is the value of k?
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[Assistant] 221

[User]
a camera lens filter kit containing 5 filters sells for $ 57.50. if the filters are purchased individually, 2 of them are priced at $ 10.45 each, 2 at $ 12.05 each, 1 at $ 17.50. the amount saved by purchasing the kit is what percent of the total price of the 5 filters purchased individually?
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[Assistant] 8 %

[User]
there were two candidates in an election. winner candidate received 75 % of votes and won the election by 500 votes. find the number of votes casted to the winning candidate?
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[Assistant] 750

[User]
if 170! / 10 ^ n is an integer, what is the largest possible value of n?
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[Assistant] 41


[User]
the ratio of spinsters to cats is 2 to 7. if there are 35 more cats than spinsters, how many spinsters are there?
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[Assistant] 14

[User]
chris mixed 3 pounds of raisins with 3 pounds of nuts. if a pound of nuts costs 3 times as much as a pound of raisins, then the total cost of the raisins was what fraction of the total cost of the mixture?
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[Assistant] 1 / 4

[User]
in 2008, the profits of company n were 10 percent of revenues. in 2009, the revenues of company n fell by 20 percent, but profits were 9 percent of revenues. the profits in 2009 were what percent of the profits in 2008?
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[Assistant] 72 %

[User]
how many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 4 m x 2 m x 25 cm?
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[Assistant] 1185

[User]
a theater charges $ 12 for seats in the orchestra and $ 8 for seats in the balcony. on a certain night, a total of 370 tickets were sold for a total cost of $ 3320. how many more tickets were sold that night for seats in the balcony than for seats in the orchestra?
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[Assistant] 190


[User]
a meal cost $ 37.25 adn there was no tax. if the tip was more than 10 pc but less than 15 pc of the price, then the total amount paid should be :
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[Assistant] 41 - 43

[User]
a train moves at average speed of 40 kmph reaches its destination on time. what its average speed becomes 35 kmph, then it reaches its destination 15 late. find the length of the journey?
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[Assistant] 70 km

[User]
evaluate 25 % of 450 + 45 % of 250
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[Assistant] 225

[User]
if a lends rs. 3500 to b at 10 % p. a. and b lends the same sum to c at 11.5 % p. a., then the gain of b ( in rs. ) in a period of 3 years is
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[Assistant] rs. 157.50

[User]
at a certain high school, the senior class is twice the size of the junior class. if 1 / 8 of the seniors and 3 / 4 of the juniors study japanese, what fraction of the students in both classes study japanese?
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[Assistant] 1 / 3


[User]
the length of each side of square a is increased by 100 percent to make square b. if the length of the side of square b is increased by 25 percent to make square c, by what percent is the area of square c greater than the sum of the areas of squares a and b?
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[Assistant] 45 %

[User]
the sum of ages of 5 children born 3 years different each is 55 yrs. what is the age of the elder child?
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[Assistant] 17

[User]
there are 7 girls and 3 chairs. in how many ways girls can occupy the chairs?
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[Assistant] 210

[User]
a train running at 7 / 11 of its own speed reached a place in 22 hours. how much time could be saved if the train would have run at its own speed?
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[Assistant] 8 hrs

[User]
a alone can finish a work in 10 days which b alone can finish in 15 days. if they work together and finish it, then out of a total wages of rs. 3300, a will get :
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[Assistant] rs. 1980


[User]
a line that passes through ( – 2, – 4 ) and ( 3, k ) has a slope = k. what is the value of k?
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[Assistant] 1

[User]
a dishonest milkman wants to make a profit on the selling of milk. he would like to mix water ( costing nothing ) with milk costing rs. 33 per litre so as to make a profit of 30 % on cost when he sells the resulting milk and water mixture for rs. 36 in what ratio should he mix the water and milk?
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[Assistant] 23 : 120

[User]
carol is 5 times alice ’ s age but only twice as old as betty. alice is 12 years younger than carol. how old is betty?
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[Assistant] 6

[User]
a cheese factory sells its cheese in rectangular blocks. a normal block has a volume of 5 cubic feet. if a large block has twice the width, twice the depth, and the same length of a normal block, what is the volume of cheese in a large block in cubic feet?
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[Assistant] 20

[User]
in a box of 10 pens, a total of 2 are defective. if a customer buys 2 pens selected at random from the box, what is the probability that neither pen will be defective?
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[Assistant] 28 / 45


[User]
if the sum of the 4 th term and the 12 th term of an arithmetic progression is 30, what is the sum of the first 15 terms of the progression?
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[Assistant] 225

[User]
if x and y are numbers such that ( x + 5 ) ( y - 5 ) = 0, what is the smallest possible value of x ^ 2 + y ^ 2
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[Assistant] 25

[User]
find the value of ( 19 + 43 / 151 ) × 151
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[Assistant] 2912

[User]
the lcm of two numbers is 2310 and hcf is 61. if one of the numbers is 210. then what is the other number?
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[Assistant] 671

[User]
the c. p of 30 books is equal to the s. p of 40 books. find his gain % or loss %?
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[Assistant] 25 %


[User]
a train 280 m long is running with a speed of 60 km / hr. in what time will it pass a man who is running at 6 km / hr in the direction opposite to that in which the train is going?
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[Assistant] 15

[User]
a tank is 25 m long 12 m wide and 6 m deep. the cost of plastering its walls and bottom at 30 paise per sq m is
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[Assistant] rs. 223.20

[User]
3 men and 8 women complete a task in same time as 6 men and 2 women do. how much fraction of work will be finished in same time if 5 men and 2 women will do that task.
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[Assistant] 6 / 7

[User]
a sum of money at simple interest amounts to rs. 824 in 3 years and to rs. 854 in 4 years. the sum is :
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[Assistant] 725

[User]
6 boysand 8 girls can do job in 10 days, 26 boys & 48 women do work in 2 days find time taken by 15 boys and 20 girls to do same work
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[Assistant] 4 days


[User]
a computer is programmed to multiply consecutive even integers 2 * 4 * 6 * 8 * … * n until the product is divisible by 1947, what is the value of n?
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[Assistant] 118

[User]
a boat can travel with a speed of 14 km / hr in still water. if the speed of the stream is 6 km / hr, find the time taken by the boat to go 72 km downstream.
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[Assistant] 3.6 hr

[User]
if x is equal to the sum of the integers from 40 to 60, inclusive, and y is the number of even integers from 40 to 60, inclusive, what is the value of x + y?
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[Assistant] 1061

[User]
the average age of 36 students in a group is 15 years. when teacher's age is included to it, the average increases by one. what is the teacher's age in years?
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[Assistant] 52 years

[User]
how many paying stones, each measuring 4 m * 2 m are required to pave a rectangular court yard 40 m long and 20 m board?
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[Assistant] 100


[User]
the average weight of a, b and c is 45 kg. if the average weight of a and b be 40 kg and that of b and c be 46 kg, then the weight of b is :
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[Assistant] 37 kg

[User]
two alloys a and b are composed of two basic elements. the ratios of the compositions of the two basic elements in the two alloys are 5 : 3 and 2 : 1, respectively. a new alloy x is formed by mixing the two alloys a and b in the ratio 4 : 3. what is the ratio of the composition of the two basic elements in alloy x?
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[Assistant] 9 : 5

[User]
in covering a distance of 30 km, abhay takes 2 hours more than sameer. if abhay doubles his speed, then he would take 1 hour less than sameer. abhay's speed is :
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[Assistant] 5

[User]
a courier charges for packages to a certain destination are 65 cents for the first 250 grams and 10 cents for each additional 100 grams or part thereof. what could be the weight in grams of a package for which the charge is $ 2.05?
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[Assistant] 1610

[User]
a money lender finds that due to a fall in the annual rate of interest from 8 % to 7 1 / 2 % his yearly income diminishes by rs. 61.50. his capital is
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[Assistant] 123.0


[User]
a fruit seller had some oranges. he sells 20 % oranges and still has 380 oranges. how many oranges he had originally?
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[Assistant] 475

[User]
the compound ratio of 2 / 5, 6 / 7, 1 / 3 and 1 / 8 is given by?
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[Assistant] 1 / 70

[User]
p, q and r can do a work in 5, 7 and 10 days respectively. they completed the work and got rs. 310. what is the share of q and r respectively?
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[Assistant] 100 and 70

[User]
what is the average ( arithmetic mean ) of the numbers 16, 17, 18, 19 and 20?
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[Assistant] 18

[User]
a, b and c rents a pasture for rs. 841. a put in 12 horses for 8 months, b 16 horses for 9 months and 18 horses for 6 months. how much should c pay?
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[Assistant] 261


[User]
a reduction of 21 % in the price of salt enables a lady to obtain 10 kgs more for rs. 100, find the original price per kg?
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[Assistant] s. 2.66

[User]
a contest will consist of n questions, each of which is to be answered eithertrueorfalse. anyone who answers all n questions correctly will be a winner. what is the least value of n for which the probability is less than 1 / 500 that a person who randomly guesses the answer to each question will be a winner?
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[Assistant] 5

[User]
what is the least number should be added to 1156, so the sum of the number is completely divisible by 25?
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[Assistant] 19

[User]
the youngest of 4 children has siblings who are 4, 5, and 7 years older than she is. if the average ( arithmetic mean ) age of the 4 siblings is 21, what is the age of the youngest sibling?
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[Assistant] 17

[User]
a, b and c are partners. a receives 2 / 3 of profits, b and c dividing the remainder equally. a's income is increased by rs. 500 when the rate to profit rises from 5 to 7 percent. find the capital of b?
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[Assistant] 6250


[User]
in a kilometer race, a beats b by 50 meters or 10 seconds. what time does a take to complete the race?
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[Assistant] 190 sec

[User]
two men a and b start from place x walking at 4 ½ kmph and 5 ¾ kmph respectively. how many km apart they are at the end of 6 ½ hours if they are walking in the same direction?
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[Assistant] 8 1 / 8 km

[User]
the average of 8 numbers is 25, that of the first 2 is 20 and of the next 3 is 26. the sixth number is less than the seventh by 4, and less than the eighth by 6. the last number is
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[Assistant] 30

[User]
18 : 12 seconds : :? : 6 minutes
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[Assistant] 9

[User]
a ship going at the speed of 18 km / hr crosses a light house in 20 seconds. what is the length of the train?
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[Assistant] 100


[User]
matt and peter can do together a piece of work in 20 days. after they have worked together for 12 days peter stops and peter completes the remaining work in 10 days. in how many days matt complete the work separately.
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[Assistant] 25

[User]
a number is increased by 30 % and then decreased by 30 %. find the net increase or decrease per cent.
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[Assistant] 9 %

[User]
if a - b = 3 and a ( power 2 ) + b ( power 2 ) = 27, find the value of ab.
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[Assistant] 9

[User]
a man can row his boat with the stream at 19 km / h and against the stream in 11 km / h. the man's rate is?
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[Assistant] 4 kmph

[User]
kamal's salary was decreased by 50 % and subsequently increased by 30 %. how much percent does he lose?
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[Assistant] 35 %


[User]
a total of $ 20,000 was invested in two certificates of deposit at simple annual interest rates of 6 percent and 10 percent, respectively. if the total interest on the two certificates was $ 1,440 at the end of one year, what fractional part of the $ 20.000 was invested at the higher rate?
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[Assistant] 9 / 10

[User]
the ratio of a to b to c is 2 to 3 to 4, and a, b, c are positive integers. if the average ( arithmetic mean ) of the 3 numbers is 42, what is the value of a?
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[Assistant] 28

[User]
in an election only two candidates contested. a candidate secured 70 % of the valid votes and won by a majority of 174 votes. find the total number of valid votes?
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[Assistant] 435

[User]
a train 125 m long passes a man, running at 8 km / hr in the same direction in which the train is going, in 10 sec. the speed of the train is?
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[Assistant] 53 km / hr

[User]
two vessels p and q contain 62.5 % and 87.5 % of alcohol respectively. if 4 litres from vessel p is mixed with 4 litres from vessel q, the ratio of alcohol and water in the resulting mixture is?
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[Assistant] 3 : 1


[User]
the cross - section of a water channel is a trapezium in shape. if the channel is 14 meters wide at the top and 8 meters wide at the bottom and the area of cross - section is 880 square meters, what is the depth of the channel ( in meters )?
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[Assistant] 80

[User]
1 / [ ( 1 / 0.03 ) + ( 1 / 0.37 ) ] =?
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[Assistant] 0.02775

[User]
in what time will a train 100 m long cross an electric pole, it its speed be 162 km / hr?
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[Assistant] 2.22

[User]
which number need to add to 956734 to get a number exactly divisible by 412?
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[Assistant] 342

[User]
a man walking at a rate of 15 km / hr crosses a bridge in 40 minutes. the length of the bridge is?
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[Assistant] 2000 m


[User]
in the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30. in the sport formulation, the ratio of flavoring to corn syrup is three times as great as in the standard formulation, and the ratio of flavoring to water is half that of the standard formulation. if a large bottle of the sport formulation contains 2 ounces of corn syrup, how many ounces of water does it contain?
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[Assistant] 30

[User]
0.0006688 / 0.0000150 x 19.85 =?
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[Assistant] 900

[User]
find the highest value of'a'so that 365 a 24 is divisible by 8.
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[Assistant] 8

[User]
in a division sum, the remainder is 0. as student mistook the divisor by 12 instead of 21 and obtained 70 as quotient. what is the correct quotient?
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[Assistant] 40

[User]
last year a certain bond price with a face value of 5000 yielded 6 % of its face value in interest. if that interest was approx 6.5 of the bond's selling price approx what was the bond's selling price?
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[Assistant] 4615


[User]
if 5 log ( 4 * 5 ^ 2 ) = x, find x
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[Assistant] 10

[User]
there is 60 lit of milk and water in which milk forms 84 %. howmuch water must be added to this solution to make it solution in which milk forms 58 %
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[Assistant] 26.89

[User]
the ratio of investments of two partners p and q is 7 : 5 and the ratio of their profits is 7 : 14. if p invested the money for 5 months, find for how much time did q invest the money?
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[Assistant] 14

[User]
the population of a town is 7500. it decreases annually at the rate of 10 % p. a. what was its population 2 years ago?
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[Assistant] 9300

[User]
a rectangular tank needs to be coated with insulation. the tank has dimensions of 3 feet, 7 feet, and 2 feet. each square foot of insulation costs $ 20. how much will it cost to cover the surface of the tank with insulation?
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[Assistant] $ 1640


[User]
how many of the positive factors of 24, 16 and how many common factors are there in numbers?
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[Assistant] 4

[User]
a company pays 12.5 % dividend to its investors. if an investor buys rs. 50 shares and gets 25 % on investment, at what price did the investor buy the shares?
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[Assistant] 25

[User]
a box contains 10 tablets of medicine a and 13 tablets of medicine b. what is the least number of tablets that should be taken from the box to ensure that at least two tablets of each kind are among the extracted.
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[Assistant] 15

[User]
what is the smallest number which, when increased by 7, is divisible by 7, 8, and 24?
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[Assistant] 161

[User]
find the simple interest on rs. 73,000 at 16 2 / 3 % per year for 9 months.
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[Assistant] 9125


[User]
find large number from below question the difference of 2 no.'s is 1365. on dividing the larger no. by the smaller, we get 6 as quotient and the 15 as remainder?
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[Assistant] 1635

[User]
calculate the speed of a boat in still water ( in km / hr ) if in one hour, the boat goes at 13 km / hr downstream and 4 km / hr upstream.
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[Assistant] 8.5 kmph

[User]
two mechanics were working on your car. one can complete the given job in six hours, but the new guy takes 7 hours. they worked together for the first two hours, but then the first guy left to help another mechanic on a different job. how long will it take the new guy to finish your car?
Answer the question using a single word or phrase.

[Assistant] 64 / 21

[User]
car dealership x, the total profit from sales increased by 10 percent over the previous years, while the number of cars sold decreased by 10 percent over the previous years. approximately what was the average percent increase in profit per car over the previous year.
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[Assistant] 22 %

[User]
of 70 players on a football team, 28 are throwers. the rest of the team is divided so one third are left - handed and the rest are right handed. assuming that all throwers are right handed, how many right - handed players are there total?
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[Assistant] 56


[User]
two pipes a and b can fill a cistern in 20 and 30 minutes respectively, and a third pipe c can empty it in 60 minutes. how long will it take to fill the cistern if all the three are opened at the same time?
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[Assistant] 15 min

[User]
a shoe merchant has declared a 10 % rebate in prices. how much rebate would one get if he purchases 5 pairs of shoes at rs. 28 each?
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[Assistant] 14

[User]
if the average of 8 digits is 20 and the average of 5 of them is 12, calculate the average of the remaining 3 numbers?
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[Assistant] 33.3

[User]
in a restaurant, the profit is 120 % of the cost. if the cost increases by 12 % but the selling price remains constant, approximately what percentage of the selling price is the profit?
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[Assistant] 49 %

[User]
a man purchased 3 blankets @ rs. 100 each, 5 blankets @ rs. 150 each and two blankets at a certain rate which is now slipped off from his memory. but he remembers that the average price of the blankets was rs. 150. find the unknown rate of two blankets?
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[Assistant] 450


[User]
a shop owner sells 30 mtr of cloth and gains sp of 10 mtrs. find the gain %?
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[Assistant] 50 %

[User]
a certain dark blue paint contains 40 percent blue pigment and 60 percent red pigment by weight. a certain green paint contains 40 percent blue pigment and 60 percent yellow pigment. when these paints are mixed to produce a brown paint, the brown paint contains 40 percent blue pigment. if the brown paint weighs 10 grams, then the red pigment contributes how many grams of that weight?
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[Assistant] 3

[User]
in goshawk - eurasian nature reserve 30 percent of the birds are hawks, and 40 percent of the non - hawks are paddyfield - warblers. if there are 25 percent as many kingfishers as paddyfield - warblers in the reserve, then what percent of the birds x in the nature reserve are not hawks, paddyfield - warblers, or kingfishers?
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[Assistant] 35 %

[User]
if ( a – b ) is 13 more than ( c + d ) and ( a + b ) is 3 less than ( c – d ), then ( a – c ) is :
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[Assistant] 5

[User]
how many integers between 1 and 1,400 are divisible by 25, and 35?
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[Assistant] 8


[User]
rahul can done a work in 5 days and meena can done a work in 10 days. in how many days that both are work together?
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[Assistant] 10 / 3

[User]
a bicycle wheel has a diameter of 0.75 m. how many complete revolutions does it make in 1 km?
Answer the question using a single word or phrase.

[Assistant] 424

[User]
country x taxes each of its citizens an amount equal to 15 percent of the first $ 40,000 of income, plus 20 percent of all income in excess of $ 40,000. if a citizen of country x is taxed a total of $ 8,000, what is her income?
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[Assistant] $ 50,000

[User]
if a ^ 2 + b ^ 2 = 10 and ab = 10, what is the value of the expression ( a - b ) ^ 2 + ( a + b ) ^ 2?
Answer the question using a single word or phrase.

[Assistant] 20

[User]
a, b, c, d and e are 5 consecutive points on a straight line. if bc = 2 cd, de = 8, ab = 5 and ac = 11, what is the length of ae?
Answer the question using a single word or phrase.

[Assistant] 22


[User]
on a windy day, out of every 3 sand dunes formed, only 1 remains. out of 5 blown - out sand - dunes, 1 has treasure and only 2 out of 3 sand dunes formed have lucky coupons. find the probability that the blown - out sand dune will contain both the things.
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[Assistant] 4 / 45

[User]
in the faculty of reverse - engineering, 250 second year students study numeric methods, 423 second year students study automatic control of airborne vehicles and 134 second year students study them both. how many students are there in the faculty if the second year students are approximately 80 % of the total?
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[Assistant] 674.

[User]
what is the measure of the radius of the circle that circumscribes a triangle whose sides measure 2, 3 and 5?
Answer the question using a single word or phrase.

[Assistant] 2.5

[User]
the price of 10 chairs is equal to that of 4 tables. the price of 15 chairs and 2 tables together is rs. 4000. the total price of 12 chairs and 3 tables is
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[Assistant] rs. 3900

[User]
if there is an equal probability of a child being born a boy or a girl, what is the probability that a couple who have 7 children have two children of the same sex and one of the opposite sex?
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[Assistant] 7 / 64


[User]
instead of multiplying a number by 2, the number is divided by 10. what is the percentage of error obtained?
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[Assistant] 95 %

[User]
for the past n days, the average ( arithmetic mean ) daily production at a company was 50 units. if today's production of 90 units raises the average to 54 units per day, what is the value of n?
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[Assistant] 9

[User]
the cash difference between the selling prices of an article at a profit of 2 % and 4 % is rs 3. the ratio of two selling prices is
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[Assistant] 51 : 52

[User]
jose completes a piece of work in 10 days, raju completes the same work in 40 days. if both of them work together, then the number of days required to complete the work is
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[Assistant] 8 days

[User]
wilson can eat 25 marshmallows is 20 minutes. dylan can eat 25 in one hour. in how much time will the two eat 150 marshmallows?
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[Assistant] 1 hour.


[User]
5 men and 12 boys finish a piece of work in 4 days, 7 men and 6 boys do it in 5 days. the ratio between the efficiencies of a man and boy is?
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[Assistant] 6 : 5

[User]
two trains of length 100 meters and 200 meters are 140 meters apart. they are moving towards each other on parallel tracks, at speeds of 54 km / h and 72 km / h. after how many seconds will the trains meet?
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[Assistant] 4

[User]
two trains start simultaneously from opposite ends of a 140 - km route and travel toward each other on parallel tracks. train x, traveling at a constant rate, completes the 140 - km trip in 4 hours. train y, travelling at a constant rate, completes the 140 - km trip in 3 hours. how many kilometers had train x traveled when it met train y?
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[Assistant] 60

[User]
the year next to 1991 having the same calendar as that of 1990 is –
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[Assistant] 2002

[User]
find ( 7 x + 6 y ) / ( x - 2 y ) if x / 2 y = 3 / 2?
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[Assistant] 27


[User]
a car was driving at 72 km / h for 20 minutes, and then at 81 km / h for another 40 minutes. what was its average speed?
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[Assistant] 76.

[User]
a, b and c can do a piece of work in 24 days, 30 days and 40 days respectively. they began the work together but c left 4 days before the completion of the work. in how many days was the work completed?
Answer the question using a single word or phrase.

[Assistant] 11

[User]
nicky and cristina are running a race. since cristina is faster than nicky, she gives him a 36 meter head start. if cristina runs at a pace of 4 meters per second and nicky runs at a pace of only 3 meters per second, how many seconds will nicky have run before cristina catches up to him?
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[Assistant] 36 seconds

[User]
what is the largest integral value of'k'for which the quadratic equation x 2 - 6 x + k = 0 will have two real and distinct roots?
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[Assistant] 8

[User]
a certain sum of money is divided among a, b and c such that a gets one - third of what b and c together get and b gets two - seventh of what a and c together get. if the amount received by a is $ 20 more than that received by b, find the total amount shared by a, b and c.
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[Assistant] $ 720


[User]
if x, y, and z are positive integers and 3 x = 5 y = 8 z, then the least possible value of x + y + z is
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[Assistant] 79

[User]
given f ( x ) = 3 x – 5, for what value of x does 2 * [ f ( x ) ] – 4 = f ( 3 x – 6 )
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[Assistant] 3

[User]
a can do a job in 8 days and b can do it in 20 days. a and b working together will finish twice the amount of work in - - - - - - - days?
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[Assistant] 11 3 / 7 days

[User]
the average of runs of a cricket player of 10 innings was 35. how many runs must he make in his next innings so as to increase his average of runs by 4?
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[Assistant] 79

[User]
the side of a square is increased by 10 % then how much % does its area increases?
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[Assistant] 21


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

[User]
the average of 11 numbers is 10.7. if the average of first 6 is 10.5 and that of the last 6.00001 is 11.4 the sixth number is?
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[Assistant] 13.7

[User]
the denominator of a fraction is 8 greater than the numerator. if the numerator and the denominator are increased by 5, the resulting fraction is equal to 6 â  „ 7. what is the value of the original fraction?
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[Assistant] 43 / 51

[User]
evaluate 50! / 47!
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[Assistant] 117600

[User]
a 425 meter long train crosses a platform in 55 seconds while it crosses a signal pole in 40 seconds. what is the length of the platform?
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[Assistant] 159.38


[User]
a train running at the speed of 60 km / hr crosses a pole in 8 seconds. find the length of the train.
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[Assistant] 133.33

[User]
annika hikes at a constant rate of 12 minutes per kilometer. she has hiked 2.75 kilometers east from the start of a hiking trail when she realizes that she has to be back at the start of the trail in 40 minutes. if annika continues east, then turns around and retraces her path to reach the start of the trail in exactly 40 minutes, for how many kilometers total did she hike east?
Answer the question using a single word or phrase.

[Assistant] 3.04

[User]
tom and jerry enter into a partnership by investing $ 700 and $ 300 respectively. at the end of one year, they divided their profits such that a third of the profit is divided equally for the efforts they have put into the business and the remaining amount of profit is divided in the ratio of the investments they made in the business. if tom received $ 800 more than jerry did, what was the profit made by their business in that year?
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[Assistant] 3000

[User]
simplify : 0.72 * 0.43 + 0.12 * 0.34
Answer the question using a single word or phrase.

[Assistant] 0.3504

[User]
a jeep takes 8 hours to cover a distance of 280 km. how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time?
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[Assistant] 23 kmph


[User]
the simple interest on rs. 34 for 8 months at the rate of 6 paise per rupeeper month is
Answer the question using a single word or phrase.

[Assistant] 16.32

[User]
a swimmer can swim in still water at 4 km / h. if the speed of the water current is 2 km / h, how many hours will the swimmer take to swim against the current for 3 km?
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[Assistant] 1.5

[User]
what sum of money put at c. i amounts in 2 years to rs. 8880 and in 3 years to rs. 9261?
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[Assistant] 8164

[User]
how many seconds will a 400 metre long train take to cross a man running with a speed of 6 km / hr in the direction of the moving train if the speed of the train is 30 km / hr?
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[Assistant] 60

[User]
what is the maximum number of pieces of birthday cake of size 4 ” by 4 ” that can be cut from a cake 16 ” by 16 ”?
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[Assistant] 16


[User]
a student needs 30 % of the marks on a test to pass the test. if the student gets 80 marks and fails the test by 10 marks, find the maximum marks set for the test.
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[Assistant] 300

[User]
a work crew of 6 men takes 9 days to complete one - half of a job. if 12 men are then added to the crew and the men continue to work at the same rate, how many days will it take the enlarged crew to do the rest of the job?
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[Assistant] 3

[User]
in a class, 6 students can speak gujarati, 15 can speak hindi and 6 can speak marathi. if two students can speak two languages and one student can speak all the 3 languages, then how many students are there in the class
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[Assistant] 22

[User]
jack and jill are marathon runners. jack can finish a marathon ( 41 km ) in 4.5 hours and jill can run a marathon in 4.1 hours. what is the ratio of their average running speed? ( jack : jill )
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[Assistant] 41 / 45

[User]
if the selling price of 100 articles is equal to the cost price of 40 articles, then the loss or gain percent is :
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[Assistant] 60 %


[User]
a metallic sheet is of rectangular shape with dimensions 48 m x 36 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 6 m, the volume of the box ( in m 3 ) is :
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[Assistant] 5184

[User]
in a certain animal population, for each of the first 3 months of life, the probability that an animal will die during that month is 1 / 10. for a group of 700 newborn members of the population, approximately how many would be expected to survive the first 3 months of life?
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[Assistant] 511

[User]
the ratio, by volume, of bleach to detergent to water in a certain solution is 2 : 40 : 100. the solution will be altered so that the ratio of bleach ( b ) to detergent is tripled while the ratio of detergent to water is halved. if the altered solution will contain 300 liters of water, how many liters of detergent will it contain?
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[Assistant] 60

[User]
in x game of billiards, x can give y 20 points in 60 and he can give z 50 points in 60. how many points can y give z in x game of 100?
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[Assistant] 75

[User]
jack and jill work at a hospital with 5 other workers. for an internal review, 2 of the 7 workers will be randomly chosen to be interviewed. what is the probability that jack and jill will both be chosen?
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[Assistant] 1 / 21


[User]
the surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 10 cm each. the radius of the sphere is
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[Assistant] 5 cm

[User]
find a number such that it exceeds 18 by 3 times the number by which it is less than 86?
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[Assistant] 69

[User]
of the 3600 employees of company x, 12 / 25 are clerical. if the clerical staff were to be reduced by 1 / 4, what percent of the total number of the remaining employees would then be clerical?
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[Assistant] 40 %

[User]
for an agricultural experiment, 300 seeds were planted in one plot and 200 were planted in a second plot. if exactly 25 percent of the seeds in the first plot germinated and exactly 40 percent of the seeds in the second plot germinated, what percent of the total number of seeds germinated?
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[Assistant] 31 %

[User]
an equilateral triangle t 2 is formed by joining the mid points of the sides of another equilateral triangle t 1. a third equilateral triangle t 3 is formed by joining the mid - points of t 2 and this process is continued indefinitely. if each side of t 1 is 60 cm, find the sum of the perimeters of all the triangles.
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[Assistant] 360 cm


[User]
in an election, candidate douglas won 66 percent of the total vote in counties x and y. he won 74 percent of the vote in county x. if the ratio of people who voted in county x to county y is 2 : 1, what percent of the vote did candidate douglas win in county y?
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[Assistant] 50 %

[User]
amithab's average expenditure for the january to june is rs. 4200 and he spends rs. 1200 in january and rs. 1500 in july. the average expenditure for the months of febraury to july is
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[Assistant] rs. 4250

[User]
one week, a certain truck rental lot had a total of 20 trucks, all of which were on the lot monday morning. if 50 % of the trucks that were rented out during the week were returned to the lot on or before saturday morning of that week, and if there were at least 16 trucks on the lot that saturday morning, what is the greatest number of different trucks that could have been rented out during the week?
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[Assistant] 8

[User]
a person walks from one end to the other of a 80 - meter long moving walkway at a constant rate in 40 seconds, assisted by the walkway. when this person reaches the end, they reverse direction and continue walking with the same speed, but this time it takes 120 seconds because the person is traveling against the direction of the moving walkway. if the walkway were to stop moving, how many seconds would it take this person to walk from one end of the walkway to the other?
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[Assistant] 60

[User]
neha's mother was 4 times her age 12 years ago. she will be twice as old as neha 12 years from now. what is the present age of neha's mother?
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[Assistant] 60 years


[User]
what is the measure of the radius of the circle that circumscribes a triangle whose sides measure 3, 4, and 5?
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[Assistant] 2.5

[User]
what is the sum of the numbers between 1 and 5, inclusive?
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[Assistant] 15

[User]
a mathematics teacher tabulated the marks secured by 35 students of 8 th class. the average of their marks was 72. if the marks secured by reema was written as 46 instead of 96 then find the correct average marks up to two decimal places.
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[Assistant] 73.42

[User]
if the sides of a triangle are 36 cm, 34 cm and 20 cm, what is its area?
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[Assistant] 340 cm 2

[User]
a group of hikers is planning a trip that will take them up a mountain using one route and back down using another route. they plan to travel down the mountain at a rate of one and a half times the rate they will use on the way up, but the time each route will take is the same. if they will go up the mountain at a rate of 3 miles per day and it will take them two days, how many miles long is the route down the mountain?
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[Assistant] 9


[User]
how many ounces of a 60 % salt solution must be added to 70 ounces of a 20 percent salt solution so that the resulting mixture is 40 % salt?
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[Assistant] 70

[User]
the average of 1 st 3 of 4 numbers is 16 and of the last 3 are 15. if the sum of the first and the last number is 15. what is the last numbers?
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[Assistant] 6

[User]
how many plants will be there in a circular bed whose outer edge measure 33 cms, allowing 4 cm 2 for each plant?
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[Assistant] 21

[User]
rectangle a has sides a and b, and rectangle b has sides c and d. if a / c = b / d = 4 / 5, what is the ratio of rectangle a ’ s area to rectangle b ’ s area?
Answer the question using a single word or phrase.

[Assistant] 16 / 25

[User]
pipe a fills a swimming pool in 4 hours. pipe b empties the pool in 6 hours. if pipe a was opened at 5 : 00 am and pipe b at 6 : 00 am, at what time will the pool be full?
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[Assistant] 15 : 00


[User]
a student multiplied a number by 3 / 5 instead of 5 / 3, what is the percentage error in the calculation?
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[Assistant] 64

[User]
a team of 6 entered for a shooting competition. the best marks man scored 85 points. if he had scored 92 points, the average scores for. the team would have been 84. how many points altogether did the team score?
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[Assistant] 497

[User]
if 60 percent of 500 is 50 percent of x, then x =?
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[Assistant] 600

[User]
a car gets 40 kilometers per gallon of gasoline. how many gallons of gasoline would the car need to travel 220 kilometers?
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[Assistant] 5.5

[User]
the sum of 3 numbers is 98. if the ratio between first and second be 2 : 3 and that between second and third be 5 : 8, then the second number is?
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[Assistant] 30


[User]
a courtyard is 25 meter long and 18 meter board is to be paved with bricks of dimensions 20 cm by 10 cm. the total number of bricks required is?
Answer the question using a single word or phrase.

[Assistant] 22500

[User]
the speeds of three asteroids were compared. asteroids x - 13 and y - 14 were observed for identical durations, while asteroid z - 15 was observed for 2 seconds longer. during its period of observation, asteroid y - 14 traveled three times the distance x - 13 traveled, and therefore y - 14 was found to be faster than x - 13 by 2500 kilometers per second. asteroid z - 15 had an identical speed as that of x - 13, but because z - 15 was observed for a longer period, it traveled five times the distance x - 13 traveled during x - 13's inspection. asteroid x - 13 traveled how many kilometers during its observation?
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[Assistant] 625

[User]
what is the value of 3 x ^ 2 − 2.4 x + 0.3 for x = 0.6?
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[Assistant] 0.06

[User]
if x = 1 - 3 t and y = 2 t - 3, then for what value of t does x = y?
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[Assistant] 4 / 5

[User]
find the simple interest on the rs. 2000 at 25 / 4 % per annum for the period from 4 th feb 2005 to 18 th april 2005
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[Assistant] rs 25


[User]
you enter a weight loss challenge game and manage to lose 10 % of your body weight. for the final weigh in you are forced to wear clothes that add 2 % to your weight. what percentage of weight loss is measured at the final weigh in?
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[Assistant] 8.2 %

[User]
a person was asked to state his age in years. his reply was, ` ` take my age 5 years hence, multiply it by 3 and subtract 3 times my age 5 years ago and you will know how old i am. ''what was the age of the person?
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[Assistant] 30

[User]
the radius of a semi circle is 6.3 cm then its perimeter is?
Answer the question using a single word or phrase.

[Assistant] 32.4

[User]
a train is 300 meter long is running at a speed of 54 km / hour. in what time will it pass a tunnel of 1200 meter length?
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[Assistant] 100 seconds

[User]
in a single throw of a die, what is probability of getting a number greater than 4?
Answer the question using a single word or phrase.

[Assistant] 1 / 3


[User]
a certain bag contains 60 balls — 22 white, 18 green, 8 yellow, 5 red, and 7 purple. if a ball is to be chosen at random, what is the probability that the ball will be neither red nor purple?
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[Assistant] 0.8

[User]
the mean of 50 observations was 40. it was found later that an observation 45 was wrongly taken as 15 the corrected new mean is
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[Assistant] 40.6

[User]
by selling 14 pencils for a rupee a man loses 20 %. how many for a rupee should he sell in order to gain 20 %?
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[Assistant] 21

[User]
a money lender lent rs. 1000 at 3 % per year and rs. 1400 at 5 % per year. the amount should be returned to him when the total interest comes to rs. 350. find the number of years.
Answer the question using a single word or phrase.

[Assistant] 3.5

[User]
caleb spends $ 70.50 on 50 hamburgers for the marching band. if single burgers cost $ 1.00 each and double burgers cost $ 1.50 each, how many double burgers did he buy?
Answer the question using a single word or phrase.

[Assistant] 41


[User]
tom traveled the entire 100 miles trip. if he did the first 50 miles of at a constant rate 20 miles per hour and the remaining trip of at a constant rate 50 miles per hour, what is the his average speed, in miles per hour?
Answer the question using a single word or phrase.

[Assistant] 28.57 mph

[User]
when positive integer x is divided by 11, the quotient is y and the remainder is 4. when 2 x is divided by 6, the quotient is 3 y and the remainder is 5. what is the value of 7 y – x?
Answer the question using a single word or phrase.

[Assistant] - 1

[User]
a total of 30 percent of the geese included in a certain migration study were male. if some of the geese migrated during the study and 30 percent of the migrating geese were male, what was the ratio of the migration rate for the male geese to the migration rate for the female geese? [ migration rate for geese of a certain sex = ( number of geese of that sex migrating ) / ( total number of geese of that sex ) ]
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[Assistant] 1

[User]
how much 60 % of 50 is greater than 40 % of 30?
Answer the question using a single word or phrase.

[Assistant] 18

[User]
you and your friend spent a total of $ 19 for lunch. your friend spent $ 3 more than you. how much did your friend spend on their lunch?
Answer the question using a single word or phrase.

[Assistant] $ 11


[User]
by selling 90 pens, a trader gains the cost of 30 pens. find his gain percentage?
Answer the question using a single word or phrase.

[Assistant] 33.3 %

[User]
a cistern is normally filled in 2 hrs, but takes 2 hrs longer to fill because of a leak on its bottom, if cistern is full, how much time citern would empty?
Answer the question using a single word or phrase.

[Assistant] 4 hours

[User]
two trains of length 100 m and 200 m are 100 m apart. they start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. in how much time will the trains cross each other?
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[Assistant] 80 / 7 sec

[User]
effective annual rate of interest corresponding to nominal rate of 6 % per annum compounded half yearly will be
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[Assistant] 6.09 %

[User]
in a certain business school class, p students are accounting majors, q students are finance majors, r students are marketing majors, and s students are strategy majors. if pqrs = 1365, and if 1 < p < q < r < s, how many students in the class are finance majors?
Answer the question using a single word or phrase.

[Assistant] 5


[User]
a train 500 m long is running at a speed of 78 km / hr. if it crosses a tunnel in 1 min, then the length of the tunnel is?
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[Assistant] 800 m

[User]
the average age of 3 men is increased by years when two of them whose ages are 21 years and 23 years are replaced by two new men. the average age of the two new men is
Answer the question using a single word or phrase.

[Assistant] 25

[User]
points a, b, and, c have xy - coordinates ( 2,0 ), ( 8,12 ), and ( 14,0 ), respectively. points x, y, and z have xy - coordinates ( 6,0 ), ( 8,4 ), and ( 10,0 ), respectively. what fraction s of the area of triangle abc is the area of triangle xyz?
Answer the question using a single word or phrase.

[Assistant] 1 / 9

[User]
a van takes 6 hours to cover a distance of 270 km. how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time?
Answer the question using a single word or phrase.

[Assistant] 30 kmph

[User]
working together, printer a and printer b would finish the task in 40 minutes. printer a alone would finish the task in 60 minutes. how many pages does the task contain if printer b prints 4 pages a minute more than printer a?
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[Assistant] 480


[User]
if 36 men do a work in 70 days, in how many days will 40 men do it?
Answer the question using a single word or phrase.

[Assistant] 63

[User]
last year, for every 100 million vehicles that traveled on a certain highway, 75 vehicles were involved in accidents. if 6 billion vehicles traveled on the highway last year, how many of those vehicles were involved in accidents? ( 1 billion = 1,000, 000,000 )
Answer the question using a single word or phrase.

[Assistant] 4500

[User]
on a certain road, 10 % of the motorists exceed the posted speed limit and receive speeding tickets, but 60 % of the motorists who exceed the posted speed limit do not receive speeding tickets. what percent of the motorists on that road exceed the posted speed limit?
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[Assistant] 25 %

[User]
a and b can do a piece of work in 48 days, a and c can do it in 60 days, b and c can do it 72 days. in what time can c alone do it?
Answer the question using a single word or phrase.

[Assistant] 85 days

[User]
if x is an integer such that 1 < x < 9, 2 < x < 15, 7 > x > – 1, 4 > x > 0, and x + 1 < 5, then x is
Answer the question using a single word or phrase.

[Assistant] 3


[User]
1 = 1,2 = 2,3 = 9,4 = 16,5 = 25, then 9 =?
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[Assistant] 3

[User]
a train 300 m long can cross an electric pole in 10 sec and then find the speed of the train?
Answer the question using a single word or phrase.

[Assistant] 108 kmph

[User]
if a book is sold at 10 % profit instead of 10 % loss, it would have brought rs 14 more. find out the cost price of the book
Answer the question using a single word or phrase.

[Assistant] 70

[User]
in the number 11,0 ab, a and b represent the tens and units digits, respectively. if 11,0 ab is divisible by 55, what is the greatest possible value of b × a?
Answer the question using a single word or phrase.

[Assistant] 25

[User]
how many liters of water must be evaporated from 50 liters of a 3 percent sugar solution to get a 4 percent sugar solution?
Answer the question using a single word or phrase.

[Assistant] 12.5


[User]
the average of marks obtained by 120 candidates was 35. if the avg of marks of passed candidates was 39 & that of failed candidates was 39 and that of failed candidates was 15, the no. of candidateswho passed the examination is?
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[Assistant] 100

[User]
a squirrel runs up a cylindrical post, in a perfect spiral path making one circuit for each rise of 4 feet. how many feet does the squirrel travels if the post is 16 feet tall and 2 feet in circumference?
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[Assistant] 8 feet

[User]
if ( t - 8 ) is a factor of t ^ 2 - kt - 46, then k =
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[Assistant] 14

[User]
how many liters of water must be evaporated from 50 liters of a 8 - percent sugar solution to get a 10 - percent solution?
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[Assistant] 10

[User]
. in a certain city, 60 percent of the registered voters are democrats and the rest are republicans. in a mayoral race, if 70 percent of the registered voters who are democrats and 20 percent of the registered voters who are republicans are expected to vote for candidate a, what percent of the registered voters are expected to vote for candidate a?
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[Assistant] 50 %


[User]
a box contains 12 apples, 11 of which are red. an apple is drawn from the box and its color is noted before it is eaten. this is done a total of n times, and the probability that a red apple is drawn each time is less than 0.5. what is the smallest possible value of n?
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[Assistant] 7

[User]
a train 110 meters long completely crosses a 280 meters long bridge in 38 seconds. what is the speed of the train is?
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[Assistant] 40

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

[User]
paulson spends 75 % of his income. his income is increased by 20 % and he increased his expenditure by 10 %. find the percentage increase in his savings
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[Assistant] 50 %

[User]
if ( 1 – 1.5 ) n = 1, then n =
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[Assistant] − 2


[User]
in a college, the ratio of the number of boys to girls is 8 : 5. if there are 160 girls, the total number of students in the college is
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[Assistant] 416

[User]
the average weight of 5 students decreases by 12 kg when one of them weighing 72 kg is replaced by a new student. the weight of the student is
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[Assistant] 12 kg

[User]
find the least multiple of 23, which when divided by 1821 and 24 leaves remainders 710 and 13 respectively.
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[Assistant] 3013

[User]
a boy is travelling from his home to school at 5 km / hr and reached 7 min late. next day he traveled at 10 km / hr and reached 8 min early. distance between home and school?
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[Assistant] 2.5 km

[User]
how many of the positive factors of 16 are not factors of 20
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[Assistant] 2


[User]
an investor deposited $ 10,000 to open a new savings account that earned 8 percent annual interest, compounded quarterly. if there were no other transactions in the account, what was the amount of money in the account 6 months after the account was opened?
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[Assistant] $ 10,404

[User]
a pipe can fill a cistern in 77 minutes. find the time in which 1 / 11 part of the cistern will be filled?
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[Assistant] 7 min

[User]
a can do a job in 10 days and b in 20 days. if they work on it together for 4 days, then the fraction of the work that is left is?
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[Assistant] 2 / 5

[User]
a trader sells 20 meters of cloth for rs. 4500 at the profit of rs. 10 per metre of cloth. what is the cost price of one metre of cloth?
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[Assistant] rs. 190

[User]
sahil purchased a machine at rs 10000, then got it repaired at rs 5000, then gave its transportation charges rs 1000. then he sold it with 50 % of profit. at what price he actually sold it.
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[Assistant] rs. 24000


[User]
the ages of 2 persons differ by 35 years. if 10 years ago the elder one be 6 times as old as the younger one, find the present age of elder person.
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[Assistant] 50

[User]
tom reads at an average rate of 30 pages per hour, while jan reads at an average rate of 38 pages per hour. if tom starts reading a novel at 4 : 30, and jan begins reading an identical copy of the same book at 5 : 18, at what time will they be reading the same page?
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[Assistant] 8 : 18

[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 integers between 1 and 50?
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[Assistant] 1275

[User]
simplify : 896 x 896 - 204 x 204
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[Assistant] 761200

[User]
a searchlight on top of the watch - tower makes 2 revolutions per minute. what is the probability that a man appearing near the tower will stay in the dark for at least 5 seconds?
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[Assistant] 5 / 6


[User]
{ - 10, - 6, - 5, - 4, - 2.5, - 1, 0, 2.5, 4, 6, 7, 10 } a number is to be selected at random from the set above. what is the probability that the number selected will be a solution of the equation ( x - 5 ) ( x + 10 ) ( 2 x - 5 ) = 0?
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[Assistant] 1 / 6

[User]
a bag contains 10 red jellybeans and 10 blue jellybeans. if 3 jellybeans are removed one at a time, at random and are not replaced, what is the probability y that all 3 jellybeans removed from the bag are blue?
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[Assistant] 2 / 19

[User]
how many positive factors of 42 are not factors of 56?
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[Assistant] 4

[User]
when processing flower - nectar into honey bees'extract, a considerable amount of water gets reduced. how much flower - nectar must be processed to yield 1 kg of honey, if nectar contains 50 % water, and the honey obtained from this nectar contains 40 % water?
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[Assistant] 1.2 kg

[User]
sale of rs 6835, rs. 9927, rs. 6855, rs. 7230 and rs. 6562 for 5 consecutive months. how much sale must he have in the sixth month so that he gets an average sale of rs, 7000?
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[Assistant] 7991


[User]
the number of sailors on a ship is 50 % more than the number of officers. the ratio of sailors to officers would be
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[Assistant] 3 : 2

[User]
in the x - y plane, there are 4 points ( 0,0 ), ( 0,4 ), ( 5,4 ), and ( 5,0 ). if these 4 points makes a rectangle, what is the probability that x + y < 4?
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[Assistant] 2 / 5

[User]
we define that k @ j is the product of j number from k in increasing order for positive integers k, j. for example, 6 @ 4 = 6 * 7 * 8 * 9. if a = 2020 and b = 2120, what is the value q of the ratio a / b?
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[Assistant] 1 / 2

[User]
3 numbers are in the ratio of 2 : 3 : 4. if the sum of the squares of the extremes is 180, then the middle number is :
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[Assistant] 9

[User]
20 men do a work in 20 days. how many men are needed to finish the work in 5 days?
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[Assistant] 80


[User]
a man can row his boat with the stream at 22 km / h and against the stream in 10 km / h. the man's rate is?
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[Assistant] 6 kmph

[User]
suganya and suriya are partners in a business. suganya invests rs. 35,000 for 8 months and suriya invests rs. 42,000 for 10 months. out of a profit of rs. 31,570. suganya's share is
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[Assistant] rs. 18,040

[User]
roja and pooja start moving in the opposite directions from a pole. they are moving at the speeds of 7 km / hr and 3 km / hr respectively. after 4 hours what will be the distance between them?
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[Assistant] 40 km

[User]
if xy denotes x is raised to the power y, find the last two digits of 19413846 + 19614181
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[Assistant] 82

[User]
all the milk in container a which was filled to its brim was poured into two containers b and c. the quantity of milk in container b was 62.5 % less than the capacity of container a. if 156 liters was now transferred from c to b, then both the containers would have equal quantities of milk. what was the initial quantity of milk in container a?
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[Assistant] 1248


[User]
the chance of rain on any given day in tel - aviv is 50 %. what is the probability a that it rained in tel - aviv on exactly 4 out of 6 randomly chosen days?
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[Assistant] 15 / 64

[User]
a 300 m long train crosses a platform in 27 sec while it crosses a signal pole in 18 sec. what is the length of the platform?
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[Assistant] 150 m

[User]
of 67 players on a cricket team, 37 are throwers. the rest of the team is divided so one third are left - handed and the rest are right handed. assuming that all throwers are right handed, how many right - handed players are there total?
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[Assistant] 57

[User]
a can do a half of certain work in 70 days and b one third of the same in 35 days. they together will do the whole work in.
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[Assistant] 60 days

[User]
when 1 / 10 percent of 4,000 is subtracted from 1 / 10 of 4,000, the difference is
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[Assistant] 396