[User]
what is the least value of x, so that 2 x 5478 is divisible by 9
Answer the question using a single word or phrase.

[Assistant] 1

[User]
the jogging track in a sports complex is 594 m in circumference. deepak and his wife start from the same point and walk in opposite directions at 4.5 km / hr and 3.75 km / hr respectively. they will meet for the first time in?
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[Assistant] 4.32 min

[User]
a can do a job in 45 days and b can do it in 30 days. a and b working together will finish 4 times the amount of work in - - - - - - - days?
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[Assistant] 72 days

[User]
on dividing a number by 357, we get 37 as remainder. on dividing the same number by 17, what will be the remainder?
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[Assistant] 3

[User]
a certain social security recipient will receive an annual benefit of $ 12,000 provided he has annual earnings of $ 9,360 or less, but the benefit will be reduced by $ 1 for every $ 3 of annual earnings over $ 9,360. what amount of total annual earnings would result in a 55 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] $ 25,560


[User]
a vessel of capacity 45 litres is fully filled with pure milk. nine litres of milk is removed from the vessel and replaced with water. nine litres of the solution thus formed is removed and replaced with water. find the quantity of pure milk in the final milk solution?
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[Assistant] 28.8

[User]
if circles x and y have the same area and circle x has a circumference of 12 π, half of the radius of circle y is :
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[Assistant] 3

[User]
convert the 18 / 42 m / s into kilometers per hour?
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[Assistant] 1.54 kmph.

[User]
if a man lost 1 % by selling oranges at the rate of 16 a rupee at how many a rupee must he sell them to gain 44 %?
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[Assistant] 11

[User]
a certain car uses one gallon of gasoline every 34 miles when it travels on highway, and one gallon of gasoline every 20 miles when it travels in the city. when a car travels 4 miles on highway and 4 additional miles in the city, it uses what percent more gasoline than if it travels 8 miles on the highway?
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[Assistant] 35 %


[User]
in measuring the sides of a rectangle, one side is taken 9 % in excess, and the other 8 % in deficit. find the error percent in the area calculated from these measurements.
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[Assistant] 0.28 %

[User]
there is 50 % increase in an amount in 6 years at s. i. what will be the c. i. of rs. 12,000 after 3 years at the same rate?
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[Assistant] 17988

[User]
if the cost price is 86 % of the selling price, then what is the profit percent?
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[Assistant] 16 %

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

[User]
the average of 5 quantities is 8. the average of 3 of them is 4. what is the average of remaining 2 numbers?
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[Assistant] 14


[User]
in a class of 40 students, 2 students did not borrow any books from the library, 12 students each borrowed 1 book, 14 students each borrowed 2 books, and the rest borrowed at least 3 books. if the average number of books per student was 2, what is the maximum number of books any single student could have borrowed?
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[Assistant] 7

[User]
a picnic attracts 240 persons. there are 30 more men than women, and 30 more adults than children. how many men are at this picnic?
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[Assistant] 85

[User]
find 80 /? =? / 20
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[Assistant] 40

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

[User]
find the average of all the numbers between 40 and 80 which are divisible by 3.
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[Assistant] 60


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

[User]
a type t machine can complete a job in 5 hours and a type b machine can complete the job in 7 hours. how many hours will it take 2 type t machines and 3 type b machines working together and independently to complete the job?
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[Assistant] 35 / 29

[User]
on a certain date, pat invested $ 10,000 at x percent annual interest, compounded annually. if the total value of the investment plus interest at the end of 12 years will be $ 40,000, in how many years, the total value of the investment plus interest will increase to $ 120,000?
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[Assistant] 21

[User]
if the sum of two numbers is 16 and the sum of their squares is 200, then the product of the numbers is
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[Assistant] 28

[User]
a and b can do a piece of work in 12 days. with the help of c they finish the work in 6 days. c alone can do that piece of work in?
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[Assistant] 12


[User]
an amount of money is to be divided between p, q and r in the ratio of 3 : 7 : 12. if the difference between the shares of p and q is rs. 4000, what will be the difference between q and r's share?
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[Assistant] 5000

[User]
running at the same constant rate, 6 identical machines can produce a total of 390 bottles per minute. at this rate, how many bottles could 10 such machines produce in 4 minutes?
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[Assistant] 2600

[User]
a certain pair of used shoes can be repaired for $ 14.50 and will last for 1 year. a pair of the same kind of shoes can be purchased new for $ 32.00 and will last for 2 years. the average cost per year of the new shoes is what percent greater than the cost of repairing the used shoes?
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[Assistant] 10.34

[User]
what is the ratio of 12 minute to 1 hour?
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[Assistant] 1 / 5

[User]
8 * 8 * 8 * 8 = 2 ^?
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[Assistant] 12


[User]
what is the smallest no. which must be added to 53403977 so as to obtain a sum which is divisible by 11?
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[Assistant] 0

[User]
each child has 8 crayons and 15 apples. if there are 7 children, how many crayons are there in total?
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[Assistant] 56

[User]
a student took 6 courses last year and received an average ( arithmetic mean ) grade of 100 points. the year before, the student took 5 courses and received an average grade of 60 points. to the nearest tenth of a point, what was the student ’ s average grade for the entire two - year period?
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[Assistant] 81.81

[User]
a person is traveling at 20 km / hr and reached his destiny in 2.5 hr then find the distance?
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[Assistant] 50 km

[User]
the parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 12 cm. find the circumference of a semicircle whose diameter is equal to the side of the square. ( round off your answer to two decimal places )
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[Assistant] 22 cm


[User]
a motorcyclist goes from bombay to pune, a distance of 192 kms at an average of 32 kmph speed. another man starts from bombay by car 2 ½ hours after the first, and reaches pune ½ hour earlier. what is the ratio of the speed of the motorcycle and the car?
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[Assistant] 1 : 2

[User]
a corporation paid $ 8 million in federal taxes on its first $ 50 million of gross profits and then $ 30 million in federal taxes on the next $ 150 million in gross profits. by approximately what percent did the ratio of federal taxes to gross profits increase from the first $ 50 million in profits to the next $ 150 million in profits?
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[Assistant] 86 %

[User]
what is the measure of the radius of the circle that circumscribes a triangle whose sides measure 9, 40 and 41?
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[Assistant] 20.5

[User]
70, 75, 80, 85, 90, 105, 105, 130, 130, 130 the list shown consists of the times, in seconds, that it took each of 10 schoolchildren to run a distance of 400 on of meters. if the standard devastation of the 10 running times is 25.4 seconds, rounded to the nearest tenth of a second, how many of the 10 running times are more than 1 standard deviation below the mean of the 10 running times?
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[Assistant] two

[User]
if x is invested in a bank at a rate of simple interest of y % p. a. for two years, then the interest earned is 400. if x is invested at y % p. a., for two years when the interest is compounded annually, the interest is 410. what is the value of x?
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[Assistant] 4000


[User]
a cricket bat is sold for $ 900, making a profit of $ 225. the profit percentage would be
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[Assistant] 33.33 %

[User]
a part of certain sum of money is invested at 16 % per annum and the rest at 12 % per annum, if the interest earned in each case for the same period is equal, then ratio of the sums invested is?
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[Assistant] 3 : 4

[User]
reduce 4128 / 4386 to its lowest terms
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[Assistant] 16 / 17

[User]
a bag holds 2 red marbles and 3 green marbles. if you removed two randomly selected marbles from the bag, without replacement, what is the probability that both would be red?
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[Assistant] 1 / 10

[User]
for how many integer values of n will the value of the expression 4 n + 7 be an integer greater than 1 and less than 40?
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[Assistant] 10


[User]
a contractor undertook to do a piece of work in 9 days. he employed certain number of laboures but 6 of them were absent from the very first day and the rest could finish the work in only 15 days. find the number of men originally employed.
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[Assistant] 15

[User]
the average of 11 results is 42, if the average of first 5 results is 49 and that of the last 7 is 52. find the fifth result?
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[Assistant] 147

[User]
a train travelling at 48 kmph completely crosses another train having half its length and travelling in opposite direction at 42 kmph, in 12 seconds. it also passes a railway platform in 45 seconds. the length of the platform is
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[Assistant] 600 m

[User]
if x is to be chosen at random from the set { 1, 2, 3 } and y is to be chosen at random from the set { 5, 6, 7 }, what is the probability that xy will be even?
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[Assistant] 5 / 6

[User]
if seven machines working at the same rate can do 3 / 4 of a job in 30 minutes, how many minutes would it take two machines working at the same rate to do 3 / 5 of the job?
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[Assistant] 84


[User]
what is the % change in the area of a rectangle when its length increases by 60 % and its width decreases by 60 %?
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[Assistant] 36 % decrease

[User]
initially two cups of same volume are present with milk filled upto 3 / 5 th and 4 / 5 th of their volumes. water is then filled. then two mixtures are mixed. find the ratio of water to milk in the mixture
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[Assistant] 3 / 7

[User]
convert 600 miles into meters?
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[Assistant] 965604

[User]
heinz produces tomato puree by boiling tomato juice. the tomato puree has only 20 % water while the tomato juice has 90 % water. how many liters of tomato puree will be obtained from 30 litres of tomato juice?
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[Assistant] 3.75 liters.

[User]
if x < y < z and y - x > 3, where x is an even integer and y and z are odd integers, what is the least possible value of z - x?
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[Assistant] 7


[User]
if an amount of rs 42900 is distributed equally amongst 22 persons, how much amount would each person get?
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[Assistant] rs 1950

[User]
six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. in 50 minutes, how many times do they toll together?
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[Assistant] 26

[User]
what least number must be subtracted from 9671 so that the remaining number is divisible by 5?
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[Assistant] 1

[User]
find the average of all prime numbers between 50 and 70
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[Assistant] 60

[User]
the sum of ages of 5 children born at the intervals of 3 years each is 70 years. what is the age of the youngest child?
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[Assistant] 8 years


[User]
for how many integer values of n will the value of the expression 4 n + 7 be an integer greater than 1 and less than 120?
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[Assistant] 30

[User]
the average of thirteen numbers is 9. the average of first 6 numbers is 5 and the average of last 6 numbers is 7. what is the middle number?
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[Assistant] 45

[User]
two heavily loaded sixteen - wheeler transport trucks are 1025 kilometers apart, sitting at two rest stops on opposite sides of the same highway. driver a begins heading down the highway driving at an average speed of 90 kilometers per hour. exactly one hour later, driver b starts down the highway toward driver a, maintaining an average speed of 80 kilometers per hour. how many kilometers farther than driver b, will driver a have driven when they meet and pass each other on the highway?
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[Assistant] 145

[User]
find the sum of all 2 digit numbers divisible by 3.
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[Assistant] 1665

[User]
2, 3, 6, 0, 10, - 3, 14, (... )
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[Assistant] - 6


[User]
a man can row downstream at the rate of 12 km / hr and upstream at 8 km / hr. find man's rate in still water and the rate of current?
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[Assistant] 10,2

[User]
the present population of a town is 1000. population increase rate is 25 % p. a. find the population of town after 2 years?
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[Assistant] 1563

[User]
the area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of rs. 2.0 per meter. two gates of 1 m width each are to be left for entrance. what is the total cost?
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[Assistant] s. 1332

[User]
two employees m and n are paid a total of $ 605 per week by their employer. if m is paid 120 percent of the salary paid to n, how much is n paid per week?
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[Assistant] $ 275

[User]
the weight of 4 dogs is determined to be 25 pounds, 31 pounds, 35 pounds and 33 pounds respectively. the weight of a fifth dog is determined to be y pounds. if the average ( arithmetic mean ) weight of the first 4 dogs is the same as that of all 5 dogs what is the value of y?
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[Assistant] 31


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

[User]
car a runs at the speed of 50 km / hr and reaches its destination in 8 hours. car b runs at the speed of 60 km / h and reaches its destination in 4 hours. what is the ratio of distances covered by car a and car b?
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[Assistant] 5 : 3

[User]
if the cost price of 50 articles is equal to the selling price of 46 articles, then the gain or loss percent is?
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[Assistant] 8.69

[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 21 miles per hour. how far is it to the school?
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[Assistant] 6.5 miles

[User]
if 3 x + y = 40, 2 x - y = 20, for integers of x and y, 3 y ^ 2 =?
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[Assistant] 48


[User]
how many distinct 3 digit number less than 10
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[Assistant] 10

[User]
the average age of a group of persons going for picnic is 16 years. 20 new persons with an average age of 15 years join the group on the spot due to which their average age becomes 15.5 years. the number of persons initially going for picnic is?
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[Assistant] 20

[User]
in an election between two candidates, the winner has a margin of 10 % of the votes polled. if 2000 people change their mind and vote for the loser, the loser would have won by a margin of 10 % of the votes polled. find the total number of votes polled in the election?
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[Assistant] 20000

[User]
if 99 < x < 199 and 10 < y < 100, then the product xy can not be equal to :
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[Assistant] 19,903

[User]
a, b, c subscribe rs. 50,000 for a business. if a subscribes rs. 4000 more than b and b rs. 5000 more than c, out of a total profit of rs. 39,000, what will be the amount a receives?
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[Assistant] 16380


[User]
if the operation € is defined for all x and y by the equation x € y = 3 * x * y, then 3 € ( 4 € 5 ) =
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[Assistant] 540

[User]
a person can swim in still water at 8 km / h. if the speed of water 4 km / h, how many hours will the man take to swim back against the current for 8 km?
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[Assistant] 2

[User]
thomas and matt has some money with them in the ratio of 3 : 4. if their father gives rs. 30 to each of them then the ratio becomes 4 : 5. what would be the ratio if thomas spend rs. 40 and matt spend rs. 20 from what they have now?
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[Assistant] 1 : 2

[User]
if the integer n has exactly 5 positive divisors, including 1 and n, how many positive divisors does √ n have?
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[Assistant] 3

[User]
a straight line in the xy - plane has a slope of 2 and a y - intercept of 2. on this line, what is the x - coordinate of the point whose y - coordinate is 480?
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[Assistant] 239


[User]
if the sum of two positive integers is 26 and the difference of their squares is 52, what is the product of the two integers?
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[Assistant] 168

[User]
fonzie, aunt bee and lapis paid $ 7000, $ 8000 and $ 9000 respectively to buy a map to capt. plaidstache's treasure. when they found it, the treasure turned out to be worth a cool $ 900000. how much of it should lapis get?
Answer the question using a single word or phrase.

[Assistant] $ 337500

[User]
for all positive integers m, [ m ] = 3 m when m is odd and [ m ] = ( 1 / 2 ) * m when m is even. what is [ 9 ] * [ 4 ] equivalent to?
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[Assistant] [ 108 ]

[User]
two pipes p and q can fill a cistern in 10 and 15 minutes respectively. both are opened together, but at the end of 4 minutes the first is turned off. how many more minutes will it take for the cistern to fill after the first pipe is turned off?
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[Assistant] 5

[User]
express 20 mps in kmph?
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[Assistant] 72


[User]
what is the angle between the hands of a clock when time is 8 : 30?
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[Assistant] 75 deg

[User]
if the difference between compound interest ( interest compounded yearly ) and simple interest on a certain sum at the rate 20 % p. a. after 3 years is rs. 1280 then what is the principal?
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[Assistant] 10,000

[User]
in the xy - coordinate system, if ( m, n ) and ( m + 4, n + k ) are two points on the line with the equation x = 2 y + 5, then k =
Answer the question using a single word or phrase.

[Assistant] 2

[User]
during the first week of performances of a certain play, 5400 tickets were sold, all at reduced price. during the remaining weeks of performances, 5 times as many tickets were sold at full price as were sold at reduced price. if the total number of tickets r sold was 25200, how many of them were sold at full price?
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[Assistant] 16500

[User]
income and expenditure of a person are in the ratio 10 : 4. if the income of the person is rs. 19000, then find his savings?
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[Assistant] 11400


[User]
uncle bruce is baking chocolate chip cookies. he has 36 ounces of dough ( with no chocolate ) and 18 ounces of chocolate. how many ounces of chocolate are left over if he uses all the dough but only wants the cookies to consist of 20 % chocolate?
Answer the question using a single word or phrase.

[Assistant] 9

[User]
a broker invested her own money in the stock market. during the first year, she increased her stock market wealth by 50 percent. in the second year, largely as a result of a slump in the stock market, she suffered a 30 percent decrease in the value of her stock investments. what was the net increase or decrease on her overall stock investment wealth by the end of the second year?
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[Assistant] 5 %

[User]
the sum of the squares of three numbers is 225, while the sum of their products taken two at a time is 200. their sum is :
Answer the question using a single word or phrase.

[Assistant] 25

[User]
a train travels from new york to chicago, a distance of approximately 480 miles, at an average rate of 40 miles per hour and arrives in chicago at 6 : 00 in evening, chicago time. at what hour in the morning, new york time, did the train depart for chicago? ( note : chicago time is one hour earlier than new york time )
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[Assistant] 7 : 00

[User]
if m is the set of all consecutive multiples of 9 between 100 and 500, what is the median of m?
Answer the question using a single word or phrase.

[Assistant] 301.5


[User]
a 300 meter long train crosses a platform in 42 seconds while it crosses a signal pole in 18 seconds. what is the length of the platform?
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[Assistant] 400

[User]
shop offered 20 % offer for every shirt, smith bought a shirt at rs. 780. and what was the shop's original selling price?
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[Assistant] 975

[User]
john has rs 360 for his expenses. if he exceeds his days by 4 days he must cut down daily expenses by rs 3. the number of days of john's tour program is
Answer the question using a single word or phrase.

[Assistant] 20

[User]
three numbers are in the ratio 3 : 4 : 5 and their l. c. m. is 1200. their h. c. f is?
Answer the question using a single word or phrase.

[Assistant] 20

[User]
the price of food in the area where the sims family lives is scheduled to increase by 50 % next year. since the sims family can not afford an increase in their food bill, how much will they have to reduce consumption to keep their cost the same?
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[Assistant] 33.3 %


[User]
find the simple interest on $ 10000 at 5 % per annum for 12 months?
Answer the question using a single word or phrase.

[Assistant] $ 500

[User]
if the given two numbers are respectively 8 % and 16 % of a third number, then what percentage is the first of the second?
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[Assistant] 50 %

[User]
if you keep rolling a pair of dice together till a sum of 5 or 7 is obtained, then what is the probability that a sum of 5 comes before a sum of 7?
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[Assistant] 2 / 5

[User]
a pupil's marks were wrongly entered as 73 instead of 63. 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] 20

[User]
in the coordinate plane, one of the vertices of a square is the point ( - 3, - 4 ). if the diagonals of that square intersect at point ( 4, 2 ), what is the area of that square?
Answer the question using a single word or phrase.

[Assistant] 196


[User]
a sports equipment store sold ping pong rackets for a total of $ 588. if the average ( arithmetic mean ) price of a pair of rackets is $ 9.8, how many pairs were sold?
Answer the question using a single word or phrase.

[Assistant] 60

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

[User]
the difference between simple interest and compound interest on $ 1200 for one year at 10 % per annum reckoned half - yearly is :
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[Assistant] $ 3

[User]
a train 110 meters long takes 6 seconds to cross a man walking at 5 kmph in the direction opposite to that of the train. find the speed of the train.
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[Assistant] 61 kmph

[User]
the price of a bushel of corn is currently $ 3.20, and the price of a peck of wheat is $ 5.80. the price of corn is increasing at a constant rate of 5 x 5 x cents per day while the price of wheat is decreasing at a constant rate of 2 √ ∗ x − x 2 ∗ x − x cents per day. what is the approximate price when a bushel of corn costs the same amount as a peck of wheat?
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[Assistant] $ 5.60


[User]
find a positive number which when increased by 17 is equal to 60 times the reciprocal of the number
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[Assistant] 3

[User]
the length of a rectangular garden is three times its width. if the area of the rectangular garden is 588 square meters, then what is the width of the rectangular garden?
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[Assistant] 14

[User]
a train 360 m long is running at a speed of 72 km / hr. in what time will it pass a bridge 140 m long?
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[Assistant] 25 sec

[User]
if 20 typists can type 48 letters in 20 minutes, then how many letters will 30 typists working at the same rate complete in 1 hour?
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[Assistant] 216

[User]
a car traveling at a certain constant speed takes 15 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 60 kilometers per hour. at what speed, in kilometers per hour, is the car traveling?
Answer the question using a single word or phrase.

[Assistant] 48


[User]
p and q started a business investing rs. 96,000 and rs. 28,000 respectively. in what ratio the profit earned after 2 years be divided between p and q respectively?
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[Assistant] 24 : 7

[User]
a train 90 m long running at 56 kmph crosses a platform in 18 sec. what is the length of the platform?
Answer the question using a single word or phrase.

[Assistant] 190

[User]
a card is drawn from a pack of 52 cards. the probability of ge ƫ ng a queen of club or a king of heart is
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[Assistant] 1 / 26

[User]
this topic is locked. if you want to discuss this question please re - post it in the respective forum. matt and peter can do together a piece of work in 20 days. after they have worked together for 12 days matt stops and peter completes the remaining work in 14 days. in how many days peter complete the work separately.
Answer the question using a single word or phrase.

[Assistant] 35 days

[User]
we bought a total of 80 books at the store. math books cost $ 4 and history books cost $ 5. the total price was $ 373. how many math books did we buy?
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[Assistant] 27


[User]
if a, b, c, d, e and f are integers and ( ab + cdef ) < 0, then what is the maximum number s of integers that can be negative?
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[Assistant] 5

[User]
a monkey ascends a greased pole 14 metres high. he ascends 2 metres in first minute and slips down 1 metre in the alternate minute. in which minute, he reaches the top?
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[Assistant] 25 th

[User]
due to a reduction of 25 / 4 % in the price of sugar, a man is able to buy 1 kg more for rs. 120. find the original rate of sugar.
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[Assistant] 8

[User]
on a test average ( arithmetic mean ) test score for 9 students is 80. what must be 10 th student's score that average score for 10 students to be 82?
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[Assistant] 100

[User]
a man can row 4 kmph in still water. when the river is running at 1.8 kmph, it takes him 1 hour to row to a place and black. what is the total distance traveled by the man?
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[Assistant] 6.19


[User]
the annual interest rate earned by an investment increased by 5 percent from last year to this year. if the annual interest rate earned by the investment this year was 26.25 percent, what was the annual interest rate last year?
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[Assistant] 25 %

[User]
how many multiples of 7 are there between 21 and 343, inclusive?
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[Assistant] 47

[User]
in an office in singapore there are 60 % female employees. 50 % of all the male employees are computer literate. if there are total 62 % employees computer literate out of total 1600 employees, then the no. of female employees who are computer literate?
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[Assistant] 672

[User]
shop offered 20 % offer for every shirt, smith bought a shirt at rs. 560. and what was the shop's original selling price?
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[Assistant] 700

[User]
the present worth of $ 3600 due in 2 years at 20 % per annum compound interest is?
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[Assistant] $ 2500


[User]
if the wheel is 19 cm then the number of revolutions to cover a distance of 1156 cm is?
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[Assistant] 10

[User]
the commuter rail between scottsdale and sherbourne is 200 km of track, and one train makes a round trip in 5 hours. if harsha boards the train at the forest grove station, which is located one fifth of the track's length out from scottsdale, how long will it take her to get to sherbourne?
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[Assistant] 2 hours

[User]
excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 35 kmph. of how many minutes does the train stop per hour?
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[Assistant] 13

[User]
if the price of a certain bond on may 1 st was 2 / 3 the price of the bond on june 1 st and the price of the bond on july 1 st was 25 % greater than the price of the bond on may 1 st. then the price of the bond on june 1 st st was what percent of the average ( arithmetic mean ) price of the bond on may 1 st and july 1 st?
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[Assistant] 133 1 / 3 %

[User]
to asphalt 1 km road, 30 men spent 12 days working 8 hours per day. how many days, 20 men will spend to asphalt a road of 2 km working 10 hours a day?
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[Assistant] 28.8


[User]
two good train each 900 m long, are running in opposite directions on parallel tracks. their speeds are 45 km / hr and 30 km / hr respectively. find the time taken by the slower train to pass the driver of the faster one.
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[Assistant] 86.4 sec

[User]
a charitable association sold an average of 66 raffle tickets per member. among the female members, the average was 70 raffle tickets. the male to female ratio of the association is 1 : 2. what was the average number e of tickets sold by the male members of the association
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[Assistant] 58

[User]
uncle bruce is baking chocolate chip cookies. he has 72 ounces of dough ( with no chocolate ) and 50 ounces of chocolate. how much chocolate is left over if he uses all the dough but only wants the cookies to consist of 40 % chocolate?
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[Assistant] 2

[User]
107 ã — 107 + 93 ã — 93 =?
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[Assistant] 20098

[User]
how many integers from 100 to 800, inclusive, remains the value unchanged when the digits were reversed?
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[Assistant] 70


[User]
a part - time employee whose hourly wage was increased by 50 percent decided to reduce the number of hours worked per week so that the employee's total weekly income would remain unchanged. by what percent should the number of hours worked be reduced?
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[Assistant] 33.33

[User]
pascal has 96 miles remaining to complete his cycling trip. if he reduced his current speed by 4 miles per hour, the remainder of the trip would take him 16 hours longer than it would if he increased his speed by 50 %. what is his current speed w?
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[Assistant] 8

[User]
653 ã — 1001 =?
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[Assistant] 653001

[User]
pascal has 96 miles remaining to complete his cycling trip. if he reduced his current speed by 4 miles per hour, the remainder of the trip would take him 16 hours longer than it would if he increased his speed by 50 %. what is his current speed x?
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[Assistant] 8

[User]
at a certain college, 50 percent of the total number of students are freshmen. if 40 percent of the fresh - men are enrolled in the school of liberal arts and, of these, 20 percent are psychology majors, what percent of the students at the college are freshmen psychology majors enrolled in the school of liberal arts?
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[Assistant] 4 %


[User]
what will be the difference between simple and compound interest at 10 % per annum on a sum of rs. 1000 after 4 years?
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[Assistant] rs. 64.10

[User]
60 percent of movie theatres in town x have 3 screens or less. 20 % of those theatres sell an average of more than $ 300 worth of popcorn per showing. 50 percent of all the movie theatres in town x sell $ 300 or less of popcorn per showing. what percent of all the stores on the street have 4 or more screens and sell an average of more than $ 100 worth of popcorn per day?
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[Assistant] 12

[User]
a train 200 m long passes a man, running at 5 km / hr in the same direction in which the train is going, in 10 seconds. the speed of the train is?
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[Assistant] 77

[User]
if there are 156 laborers in a crew, and on a certain day, 70 were present. calculate the percentage that showed up for work? ( round to the nearest tenth ).
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[Assistant] 44.9 %

[User]
a work can be finished in 16 days by 30 women. the same work can be finished in 10 days by sixteen men. the ratio between the capacity of a man and a woman is
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[Assistant] 3 : 1


[User]
the ratio of numbers is 4 : 5 and their h. c. f is 4. their l. c. m is :
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[Assistant] 80

[User]
two trains start at same time from two stations and proceed towards each other at the rate of 20 km / hr and 25 km / hr respectively. when they meet, it is found that one train has traveled 65 km more than the other. what is the distance between the two stations?
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[Assistant] 585 km

[User]
what is the length of a bridge ( in meters ), which a train 140 meters long and travelling at 45 km / h can cross in 30 seconds?
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[Assistant] 235

[User]
a train crosses a platform of 140 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
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[Assistant] 190

[User]
what is the sum of the integers from - 170 to 171, inclusive?
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[Assistant] 171


[User]
if 7 boys meet at a reunion and each boy shakes hands exactly once with each of the others, then what is the total number of handshakes
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[Assistant] 21

[User]
a sum was put a simple interest at a certain rate for 3 years. had it been put at 3 % higher rate, it would have fetched rs. 90 more. the sum is :
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[Assistant] s. 1000

[User]
at a certain company, each employee has a salary grade s that is at least 1 and at most 5. each employee receives an hourly wage p, in dollars, determined by the formula p = 8.50 + 0.25 ( s – 1 ). an employee with a salary grade of 5 receives how many more dollars per hour than an employee with a salary grade of 1?
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[Assistant] $ 0.50

[User]
find the ratio in which rice at rs. 7.00 a kg be mixed with rice at rs. 5.70 a kg to produce a mixture worth rs. 6.30 a kg
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[Assistant] 6 : 7

[User]
if the lcm and hcf of 4 and another number is 36 and 2 respectively. find the other number?
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[Assistant] 18


[User]
the population of a city increases by 6 % per year but due to migration it decrease by 1 % per years. what will be the percentage increase in population in 3 years?
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[Assistant] 15.76 %

[User]
find the average of all the numbers between 6 and 34 which are divisible by 6.
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[Assistant] 21

[User]
a can do a piece of work in 3 hours ; b and c together can do it in 2 hours, which a and c together can do it in 2 hours. how long will b alone take to do it?
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[Assistant] 3 hours

[User]
two trains, one from howrah to patna and the other from patna to howrah, start simultaneously. after they meet, the trains reach their destinations after 9 hours and 16 hours respectively. the ratio of their speeds is?
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[Assistant] 4 : 3

[User]
at what rate percent on simple interest will rs. 650 amount to rs. 950 in 5 years?
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[Assistant] 9.23 %


[User]
a boy multiplied 987 by a certain number and obtained 559981 as his answer. if in the answer both 98 are wrong and the other digits are correct, then the correct answer would be :
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[Assistant] 555681

[User]
when leo imported a certain item, he paid a 7 percent import tax on the portion of the total value of the item in excess of $ 1000. if the amount of the import tax that leo paid was $ 87.50, what was the total value of the item?
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[Assistant] $ 2250

[User]
the annual interest rate earned by an investment increased by 6 percent from last year to this year. if the annual interest rate earned by the investment this year was 15.90 percent, what was the annual interest rate last year?
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[Assistant] 15 %

[User]
john and steve are speed walkers in a race. john is 12 meters behind steve when he begins his final push. john blazes to the finish at a pace of 4.2 m / s, while steve maintains a blistering 3.7 m / s speed. if john finishes the race 2 meters ahead of steve, how long was john ’ s final push?
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[Assistant] 28 seconds

[User]
i chose a number and divide it by 6. then i subtracted 189 from the result and got 3. what was the number i chose?
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[Assistant] 1152


[User]
a sum was put at simple interest at a certain rate for 10 years. had it been put at 5 % higher rate, it would have fetched rs. 400 more. what was the sum?
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[Assistant] s. 800

[User]
a brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 26 m * 2 m * 0.75 m?
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[Assistant] 26000

[User]
the product of two successive numbers is 462. which is the smaller of the two numbers?
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[Assistant] 21

[User]
in a group of ducks and cows, the total number of legs are 30 more than twice the number of heads. find the total number of cows.
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[Assistant] 15

[User]
two trains of equal length are running on parallel lines in the same direction at 46 km / hr and 36 km / hr. the faster train passes the slower train in 36 seconds. the length of each train is?
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[Assistant] 50 meter


[User]
if a's height is 25 % less than that of b, how much percent b's height is more than that of a?
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[Assistant] 33.33 %

[User]
the tax on a commodity is diminished by 24 % but its consumption is increased by 12 %. find the decrease percent in the revenue derived from it?
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[Assistant] 15 %

[User]
a and b can do a piece of work in 6 2 / 3 days and 5 days respectively. they work together for 2 days and then a leaves. in how many days after that b will complete the work alone.
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[Assistant] 1 â ½ days

[User]
convert the 13 / 48 m / s into kilometers per hour?
Answer the question using a single word or phrase.

[Assistant] 0.98 kmph.

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


[User]
there is a total of 90 marbles in a box, each of which is red, green, blue, or white. if one marble is drawn from the box at random, the probability that it will be white is 1 / 6 and the probability that it will be green is 1 / 5. what is the probability that the marble will be either red or blue?
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[Assistant] 19 / 30

[User]
what is the average of first 21 multiples of 7?
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[Assistant] 77

[User]
uncle bruce is baking chocolate chip cookies. he has 36 ounces of dough ( with no chocolate ) and 14 ounces of chocolate. how many ounces of chocolate are left over if he uses all the dough but only wants the cookies to consist of 20 % chocolate?
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[Assistant] 5

[User]
at 6 ′ o a clock ticks 6 times. the time between first and last ticks is 25 seconds. how long does it tick at 12 ′ o clock
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[Assistant] 55

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


[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 2 ½ hours if they are walking in the same direction?
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[Assistant] 3 1 / 8 km

[User]
if an object travels at 85 feet per second, how many feet does it travel in 30 minutes?
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[Assistant] 9000

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

[User]
in a certain archery competition, points were awarded as follows : the first place winner receives 11 points, the second place winner receives 7 points, the third place winner receives 5 points and the fourth place winner receives 2 points. no other points are awarded. john participated several times in the competition and finished first, second, third, or fourth each time. the product of all the points he received was 53900. how many times did he participate in the competition?
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[Assistant] 7

[User]
300 first - time customers of a fashion store were surveyed for their shopping experience right after leaving the store. 60 % of the customers in the survey had purchased clothes for less than $ 100. 40 % of the customers in the survey reported they were overall satisfied with their purchase. 15 % of the customers that had purchased clothes for less than $ 100 reported they were overall satisfied with their purchase. what percent of the customers surveyed purchased clothes for at least $ 100 and reported that they were not overall satisfied with their purchase?
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[Assistant] 31


[User]
the average weight of a class of 20 boys was calculated to be 58.4 kgs and it was later found that one weight was misread as 56 kg instead of 62 kg. what is the correct weight?
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[Assistant] 58.7 kgs

[User]
34 men can complete a piece of work in 18 days. in how many days will 17 men complete the same work?
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[Assistant] 36

[User]
the average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 60 kg. what might be the weight of the new person?
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[Assistant] 80 kg

[User]
the perimeter of one square is 48 cm and that of another is 24 cm. find the perimeter and the diagonal of a square which is equal in area to these two combined?
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[Assistant] 13.4 √ 2

[User]
if a certain number when divided by the numbers 5, 32 one after other successively, leaves a remainder 0, 21 then what will be the remainders if it is divided by the numbers 2, 35
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[Assistant] 1, 20


[User]
p and q invested in a business. the profit earned was divided in the ratio 2 : 3. if p invested rs 30000, the amount invested by q is
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[Assistant] 45000

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

[User]
a man is 30 years older than his son. in two years, his age will be twice the age of his son. what is the present age of his son?
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[Assistant] 28 years

[User]
what is the value of ( 4 ) ^ - 6?
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[Assistant] 1 / 4096

[User]
machine x takes 60 hours longer than machine y to produce 1080 widgets. machine y produces 20 percent more widgets in an hour than machine x does in an hour. how many widgets per hour does machine x produce
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[Assistant] 3


[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 20 are excluded, the average mark of the remaining will be 90. find the number of students who wrote the exam.
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[Assistant] 35

[User]
a train running at the speed of 52 km / hr crosses a pole in 9 seconds. find the length of the train?
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[Assistant] 130

[User]
what is the remainder when 1234 * 6789 * 1111 is divided by 19
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[Assistant] 10

[User]
how many 1 / 4 s are there in 37 1 / 2?
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[Assistant] 150

[User]
if x : y = 2 : 9, find the value of ( 2 x + 2 y ) : ( 5 x – y )
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[Assistant] 22 : 1


[User]
for each 6 - month period during a light bulb's life span, the odds of it not burning out from over - use are half what they were in the previous 6 - month period. if the odds of a light bulb burning out during the first 6 - month period following its purchase are 1 / 8, what are the odds of it burning out during the period from 6 months to 1 year following its purchase?
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[Assistant] 1 / 2

[User]
a train 360 m long is running at a speed of 90 km / hr. in what time will it pass a bridge 140 m long?
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[Assistant] 20 sec

[User]
the sale price sarees listed for rs. 200 after successive discount is 20 % and 5 % is?
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[Assistant] 152

[User]
bexy walks 5 miles from point a to point b in one hour, then bicycles back to point a along the same route at 15 miles per hour. ben makes the same round trip, but does so at half of bexy ’ s average speed. how many minutes does ben spend on his round trip?
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[Assistant] 160

[User]
the difference of two numbers is 1365. on dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. what is the smaller number?
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[Assistant] 270


[User]
running at the same constant rate, 4 identical machines can produce a total of 16 bottles per minute. at this rate, how many bottles could 8 such machines produce in 3 minutes?
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[Assistant] 96

[User]
a is two years older than b who is twice as old as c. if the total of the ages of a, b and c be 12, the how old is b?
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[Assistant] 4 years

[User]
how many digits are required to number a book containing 300 pages?
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[Assistant] 792

[User]
natasha climbs up a hill, and descends along the same way she went up. it takes her 4 hours to reach the top and 2 hours to come back down. if her average speed along the whole journey is 4 kilometers per hour, what was her average speed ( in kilometers per hour ) while climbing to the top?
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[Assistant] 3

[User]
there are two positive numbers in the ratio 5 : 8. if the larger number exceeds the smaller by 36, then find the smaller number?
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[Assistant] 60


[User]
if x = 1 - q and y = 2 q + 1, then for what value of q, x is equal to y?
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[Assistant] 0

[User]
at the wholesale store you can buy an 8 - pack of hot dogs for $ 1.65, a 20 - pack for $ 3.05, and a 250 - pack for $ 22.95. what is the greatest number of hot dogs you can buy at this store with $ 250?
Answer the question using a single word or phrase.

[Assistant] 2,628

[User]
a start walking from a place at a uniform speed of 5 kmph in a particular direction. after half an hour, b starts from the same place and walks in the same direction as a at a uniform speed and overtakes a after 1 hour 48 minutes. find the speed of b.
Answer the question using a single word or phrase.

[Assistant] 5.6 kmph

[User]
the length of the bridge, which a train 110 m long and traveling at 45 km / hr can cross in 30 sec is?
Answer the question using a single word or phrase.

[Assistant] 265

[User]
a jar contains only red, yellow, and orange marbles. if there are 3 red, 7 yellow, and 4 orange marbles, and 3 marbles are chosen from the jar at random without replacing any of them, what is the probability that 2 yellow, 1 red, and no orange marbles will be chosen?
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[Assistant] 5 / 22


[User]
if 2 / z = 2 / ( z + 1 ) + 2 / ( z + 49 ) which of these integers could be the value of z?
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[Assistant] 7

[User]
a, b, c subscribe rs. 50,000 for a business. if a subscribes rs. 4000 more than b and b rs. 5000 more than c, out of a total profit of rs. 35,000, what will be the amount a receives?
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[Assistant] 14700

[User]
if t = 5 / 9 * ( k - 32 ), and if t = 75, then what is the value of k?
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[Assistant] 167

[User]
( 0.0077 ) ( 4.5 ) / ( 0.05 ) ( 0.1 ) ( 0.007 ) =
Answer the question using a single word or phrase.

[Assistant] 990

[User]
if the wheel is 14 cm then the number of revolutions to cover a distance of 2904 cm is?
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[Assistant] 33


[User]
jerry went to a shop and bought things worth rs. 25, out of which 30 $ went on sales tax on taxable purchases. if the tax rate was 6 %, then what was the cost of the tax free items?
Answer the question using a single word or phrase.

[Assistant] 19.7

[User]
the average age of a class of 25 students is 19 years. the average increased by 2 when the teacher's age also included. what is the age of the teacher?
Answer the question using a single word or phrase.

[Assistant] 47 years

[User]
two spherical balls lie on the ground touching. if one of the balls has a radius of 6 cm, and the point of contact is 10 cm above the ground, what is the radius of the other ball ( in centimeters )?
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[Assistant] 30

[User]
of 70 players on a football team, 40 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] 60

[User]
of the 13 employees in a certain department, 1 has an annual salary of 38000, 2 have an annual salary of 45700 each, 2 have an annual salary of 42500 each, 3 have an annual salary of 40000 each and 5 have an annual salary of 48500 each. what is the median annual salary for the 13 employees?
Answer the question using a single word or phrase.

[Assistant] 45,700


[User]
average monthly income of a family of 4 earning members was rs. 735. one of the earning members died and therefore, the average income came down to rs 650. the income of the deceased was?
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[Assistant] rs. 990

[User]
a car travels a certain distance taking 7 hrs in forward journey, during the return journey increased speed 12 km / hr takes the times 5 hrs. what is the distance traveled
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[Assistant] 210 kms

[User]
a searchlight on top of the watch - tower makes 1 revolutions per minute. what is the probability that a man appearing near the tower will stay in the dark for at least 20 seconds?
Answer the question using a single word or phrase.

[Assistant] 1 / 3

[User]
exactly 10 % of the reporters for a certain wire service cover local politics in country x. if 30 % of the reporters who cover politics for the wire service do not cover local politics in country x, what percent of the reporters for the wire service do not cover politics?
Answer the question using a single word or phrase.

[Assistant] 85 %

[User]
sachin is younger than rahul by 7 years. if the ratio of their ages is 5 : 12, find the age of sachin
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[Assistant] 5


[User]
man can row upstream at 10 kmph and downstream at 20 kmph, and then find the speed of the man in still water?
Answer the question using a single word or phrase.

[Assistant] 15

[User]
at what rate percent of simple interest will a sum of money double itself in 44 years?
Answer the question using a single word or phrase.

[Assistant] 2.27 %

[User]
which is greatest in 16 ( 2 / 3 ) %, 2 / 5 and 0.17?
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[Assistant] 0.17

[User]
the sum of first n consecutive odd integers is n ^ 2. what is the sum of all odd integers between 11 and 41 inclusive.
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[Assistant] 416

[User]
if 25 / 999 = 0.002, what is the 81 st digit to the right of the decimal point in the decimal equivalent of the fraction?
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[Assistant] 2


[User]
if x is an integer and 6.1 × 10 ^ x is less than 620 what is the greatest possible value for x?
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[Assistant] 2

[User]
in the game of dubblefud, red balls, blue balls and green balls are each worth 2, 4 and 5 points respectively. in a certain selection of balls, the product of the point values of the balls is 16000. if the number of blue balls in this selection equals the number of green balls, how many red balls are in the selection?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
if the area of a circle is 49 pi square feet, find its circumference.
Answer the question using a single word or phrase.

[Assistant] 14 pi feet

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

[User]
a man can row 4.5 km / hr in still water. it takes him twice as long to row upstream as to row downstream. what is the rate of the current?
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[Assistant] 1.5


[User]
sides of a rectangular park are in the ratio 4 : 3 and its area is 3750 sq m, the cost of fencing it at 50 ps per meter is?
Answer the question using a single word or phrase.

[Assistant] s. 132.3

[User]
what is the smallest no. which must be added to 8261955 so as to obtain a sum which is divisible by 11?
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[Assistant] 11

[User]
if 3 x + y = 40, 2 x - y = 20, for integers of x and y, 2 y ^ 2 =?
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[Assistant] 32

[User]
a ’ s speed is 20 / 14 times that of b. if a and b run a race, what part of the length of the race should a give b as a head start, so that the race ends in a dead heat?
Answer the question using a single word or phrase.

[Assistant] 6 / 20

[User]
what is the product of all the possible values of x if x ^ 2 ( x + 2 ) + 7 x ( x + 2 ) + 6 ( x + 2 ) = 0?
Answer the question using a single word or phrase.

[Assistant] – 12


[User]
jar x is 1 / 5 full of water. jar y, which has half the capacity of jar x, is 1 / 2 full of water. if the water in jar y is poured into jar x, then jar x will be filled to what fraction of its capacity?
Answer the question using a single word or phrase.

[Assistant] 9 / 20

[User]
a babysitter is paid a regular rate of $ 16 per hour for any number of hours that does not exceed 30 hours per week. for any overtime hours worked in excess of 30 hours per week, the babysitter is paid a rate that is 75 % higher than his regular rate. if last week the babysitter earned $ 760, how many total hours did she work that week?
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[Assistant] 40

[User]
by travelling at 80 kmph, a person reaches his destination on time. he covered two - third the total distance in one - third of the total time. what speed should he maintain for the remaining distance to reach his destination on time?
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[Assistant] 40 kmph

[User]
two employees m and n are paid a total of $ 594 per week by their employer. if m is paid 120 percent of the salary paid to n, how much is n paid per week?
Answer the question using a single word or phrase.

[Assistant] $ 270

[User]
excluding stoppages, the speed of a bus is 50 kmph and including stoppages, it is 42 kmph. for how many minutes does the bus stop per hour?
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[Assistant] 9.6 min


[User]
tough and tricky questions : functions. let a be a positive integer. let n # a equal n ^ ( 2 a ) if a is odd and n ^ ( 3 a ) if a is even. then ( 2 # 3 ) + ( 2 # 3 ) – ( 3 # 3 ) is equal to
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[Assistant] 729

[User]
the length of a rectangle is two - fifths of the radius of a circle. the radius of the circle is equal to the side of the square, whose area is 900 sq. units. what is the area ( in sq. units ) of the rectangle if the rectangle if the breadth is 10 units?
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[Assistant] 120 sq. units

[User]
a rectangular grass field is 60 m * 55 m, it has a path of 2.5 m wide all round it on the outside. find the area of the path and the cost of constructing it at rs. 2 per sq m?
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[Assistant] 1200

[User]
a clock shows the time as 9 a. m. if the minute hand gains 5 minutes every hour, how many minutes will the clock gain by 5 p. m.?
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[Assistant] 40 min

[User]
a plant manager must assign 6 new workers to one of five shifts. she needs a first, second, and third shift, and two alternate shifts. each of the shifts will receive 2 new workers. how many different ways can she assign the new workers?
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[Assistant] 45


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

[User]
a portion of the 85 % solution of chemicals was replaced with an equal amount of 30 % solution of chemicals. as a result, 40 % solution of chemicals resulted. what part of the original solution was replaced?
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[Assistant] 9 / 11

[User]
if the price of a book is first decreased by 20 % and then increased by 20 %, then the net change in the price will be :
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[Assistant] 4

[User]
a basketball is dropped from a height of 30 feet. if it bounces back up to a height that is exactly half of its previous height, and it stops bouncing after hitting the ground for the fourth time, then how many total feet will the ball have traveled after 3 full bounces.
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[Assistant] 82.5

[User]
two cyclist start on a circular track from a given point but in opposite direction with speeds of 7 m / s and 8 m / s. if the circumference of the circle is 600 meters, after what time will they meet at the starting point?
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[Assistant] 40 min


[User]
praveen age after 10 years will be 3 times his age 3 years back. what is the present age of chris?
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[Assistant] 20

[User]
how many multiples of 2 are there between 10 and 52, 10 and 52 inclusive?
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[Assistant] 22

[User]
what is the next number 12 13 15 17 111 113 117 119 123 129?
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[Assistant] 131

[User]
david works at a resort from the beginning of march to the end of september. during the month of august this past year, he made 2 times the average ( arithmetic mean ) of his monthly totals in tips for the other months. his total tips for august were what fraction of his total tips for all of the months he worked?
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[Assistant] 1 / 4

[User]
if the average of 10 x and 8 y is greater than 70, and x is twice y, what is the least integer value of x?
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[Assistant] 10


[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 35 % water?
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[Assistant] 1.3 kg

[User]
a sum of money is put out at compound interest for 2 years at 20 %. it would fetch rs. 1205 more if the interest were payable half - yearly, then it were pay able yearly. find the sum.
Answer the question using a single word or phrase.

[Assistant] 50000

[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 $ 61.2 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] $ 4.50

[User]
the smallest number which when diminished by 12, is divisible 12, 24, 36, 48 and 56 is :
Answer the question using a single word or phrase.

[Assistant] 1020

[User]
there are 100 students in 3 sections a, b and c of a class. the average marks of all the 3 sections was 84. the average of b and c was 87.5 and the average marks of students in a section was?
Answer the question using a single word or phrase.

[Assistant] 20


[User]
a trader bought a car at 5 % discount on its original price. he sold it at a 60 % increase on the price he bought it. what percent of profit did he make on the original price?
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[Assistant] 52 %

[User]
the mean daily profit made by a shopkeeper in a month of 30 days was rs. 350. if the mean profit for the first fifteen days was rs. 275, then the mean profit for the last 15 days would be
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[Assistant] rs. 425

[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 18 kmph and 72 kmph. in how much time will the trains cross each other?
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[Assistant] 16

[User]
if x : y = 1 : 3, find the value of ( 2 x + 3 y ) : ( 5 x – y )
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[Assistant] 11 : 2

[User]
if x # y is defined to equal x ^ 3 / y for all x and y, then ( - 1 # 2 ) # 3 =
Answer the question using a single word or phrase.

[Assistant] 1 / 24


[User]
in a restaurant, the profit is 150 % 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] 55 %

[User]
a can contains a mixture of liquids a and b is the ratio 7 : 5. when 9 litres of mixture are drawn off and the can is filled with b, the ratio of a and b becomes 7 : 9. how many liter e of liquid a was contained by the can initially?
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[Assistant] 21

[User]
a can do a piece of work in 14 days. when he had worked for 2 days b joins him. if the complete work was finished in 8 days. in how many days b alone can finish the work?
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[Assistant] 14

[User]
8 chess players take part in a tournament. every player plays twice with each of his opponents. how many games are to be played?
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[Assistant] 56

[User]
a small college reduced its faculty by approximately 14 percent to 195 professors. what was the original number of faculty members?
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[Assistant] 227


[User]
one fourth of one third of two fifth of a number is 16. what will be 40 % of that number
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[Assistant] 192

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

[User]
the length of a rectangle is two - fifths of the radius of a circle. the radius of the circle is equal to the side of the square, whose area is 625 sq. units. what is the area ( in sq. units ) of the rectangle if the rectangle if the breadth is 10 units?
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[Assistant] 100

[User]
if x + y = 250, x - y = 200, for integers of x and y, y =?
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[Assistant] 225

[User]
if the area of a circle is 36 pi square feet, find its circumference.
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[Assistant] 12 pi feet


[User]
to fill a tank, 42 buckets of water is required. how many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two - fifths of its present?
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[Assistant] 105

[User]
a factory produces 1 defective bulb out of 10 bulbs a yr. if it produces 870 bulbs a yr, how many defective bulbs are produced?
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[Assistant] 87

[User]
the area of an isosceles trapezoid with sides of length 5 and bases of length 10 and 16 is?
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[Assistant] 52

[User]
find the principal which yields a simple interest of rs. 20 and compound interest of rs. 25 in two years, at the same percent rate per annum?
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[Assistant] s. 40

[User]
a shopkeeper sells 400 metres of cloth for $ 18000 at a loss of rs. 5 per metre. find his cost price for one metre of cloth?
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[Assistant] $ 50


[User]
36 * 36 * 36 = 6 ^?
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[Assistant] 6

[User]
what is the least number which when divided by 5, 9, 12 and 18 leaves remainder 4 in each care?
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[Assistant] 184

[User]
abhinav and bhupathi together have rs. 1210. if 4 / 15 of abhinav's amount is equal to 2 / 5 of bhupathi's amount, how much amount does bhupathi have?
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[Assistant] rs 484

[User]
difference of two numbers is 1620. if 7.5 % of the number is 12.5 % of the other number, find the number?
Answer the question using a single word or phrase.

[Assistant] 2430, 4050

[User]
a shirt goes on sale for 60 % of its original price. one week later, the sale price is marked down 10 %. the final price is what percent of the original price?
Answer the question using a single word or phrase.

[Assistant] 52 %


[User]
sandy walked 20 meters towards south. then sandy turned to her left and walked 20 meters. she then turned to her left and walked 20 meters. she then turned to her right and walked 20 meters. what distance is she from the starting point and in which direction?
Answer the question using a single word or phrase.

[Assistant] 40 m east

[User]
the value of a scooter depreciates in such a way that its value of the end of each year is 3 / 4 of its value of the beginning of the same year. if the initial value of the scooter is rs. 40,000, what is the value at the end of 2 years?
Answer the question using a single word or phrase.

[Assistant] 22500

[User]
a committee is reviewing a total of 20 x black - and - white films and 6 y color films for a festival. if the committee selects y / x % of the black - and - white films and all of the color films, what fraction e of the selected films are in color?
Answer the question using a single word or phrase.

[Assistant] 30 / 31

[User]
a wooden box of dimensions 8 m x 7 m x 6 m is to carry rectangularboxes of dimensions 4 cm x 7 cm x 6 cm. the maximum number ofboxes that can be carried in the wooden box, is
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[Assistant] 2000000

[User]
a searchlight on top of the watch - tower makes 3 revolutions per minute. what is the probability that a man appearing near the tower will stay in the dark for at least 10 seconds?
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[Assistant] 1 / 2


[User]
a certain number when divided by 110 leaves a remainder 25, what is the remainder if the same no. be divided by 15?
Answer the question using a single word or phrase.

[Assistant] 9

[User]
if w and y are both odd prime numbers and w < y, how many distinct positive integer factors does 2 wy have?
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[Assistant] 8

[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 r in the nature reserve are not hawks, paddyfield - warblers, or kingfishers?
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[Assistant] 35 %

[User]
what is the remainder when 8 ^ 1 + 8 ^ 2 + 8 ^ 3 +... + 8 ^ 9 is divided by 4?
Answer the question using a single word or phrase.

[Assistant] none of the above

[User]
the sides of a rectangular field are in the ratio 3 : 4. if the area of the field is 8112 sq. m, the cost of fencing the field @ 25 paise per metre is
Answer the question using a single word or phrase.

[Assistant] rs. 91.00


[User]
a sum was put at simple interest at a certain rate for 5 years had it been put at 6 % higher rate, it would have fetched 90 more. find the sum.
Answer the question using a single word or phrase.

[Assistant] 300

[User]
a can complete a project in 20 days and b can complete the same project in 30 days. if a and b start working on the project together and a quits 5 days before the project is completed, in how many days will the project be completed?
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[Assistant] 15 days

[User]
sides of a rectangular park are in the ratio 3 : 2 and its area is 3750 sq m, the cost of fencing it at 90 ps per meter is?
Answer the question using a single word or phrase.

[Assistant] 225

[User]
if 30 % of a number is equal to one - third of another number, what is the ratio of first number to the second number?
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[Assistant] 10 : 9

[User]
every year an amount increases by 1 / 8 th of itself. how much will it be after two years if its present value is rs. 32000?
Answer the question using a single word or phrase.

[Assistant] 40500


[User]
out of 450 students of a school, 325 play football, 175 play cricket and 50 neither play football nor cricket. how many students play both football and cricket?
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[Assistant] 100

[User]
a number is doubled and 7 is added. if resultant is trebled, it becomes 99. what is that number
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[Assistant] 13

[User]
a bag holds 3 red marbles and 3 green marbles. if you removed two randomly selected marbles from the bag, without replacement, what is the probability that both would be green?
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[Assistant] 1 / 5

[User]
in a 200 m race, a covers the distance in 45 seconds and b in 60 second. in this race a beats b by :
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[Assistant] 50 m

[User]
find the value of a / b + b / a, if a and b are the roots of the quadratic equation x 2 + 8 x + 4 = 0?
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[Assistant] 14


[User]
20 ^ 10 / 120 ^ 5 =?
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[Assistant] ( 10 / 3 ) ^ 5

[User]
darren bought 5 packs of white t - shirts and 3 packs of blue t - shirts for his basketball team. the white t - shirts come in packs of 6, and the blue t - shirts come in packs of 9. how many t - shirts did darren buy in all?
Answer the question using a single word or phrase.

[Assistant] 57

[User]
car a is 10 miles behind car b, which is traveling in the same direction along the same route as car a. car a is traveling at a constant speed of 58 miles per hour and car bis traveling at a constant speed of 50 miles per hour. how many hours will it take for car a to overtake and drive 8 miles ahead of car b?
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[Assistant] 2.25

[User]
in a 400 m race, a covers the distance in 60 seconds and b in 100 second. in this race a beats b by :
Answer the question using a single word or phrase.

[Assistant] 160 m

[User]
a business executive and his client are charging their dinner tab on the executive's expense account. the company will only allow them to spend a total of 50 $ for the meal. assuming that they will pay 7 % in sales tax for the meal and leave a 20 % tip, what is the most their food can cost?
Answer the question using a single word or phrase.

[Assistant] 38.63 $


[User]
the h. c. f. of two numbers is 11 and their l. c. m. is 693. if one of the number is 77, find the other?
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[Assistant] 99

[User]
p, q and r can do a work in 6, 9 and 12 days respectively. they completed the work and got rs. 195. what is the share of p?
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[Assistant] 90

[User]
machine a and machine b are each used to manufacture 220 sprockets. it takes machine a 10 hours longer to produce 220 sprockets than machine b. machine b produces 10 percent more sprockets per hour than machine a. how many sprockets per hour does machine a produces?
Answer the question using a single word or phrase.

[Assistant] 2

[User]
a shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 30 % while buying and by 10 % while selling. what is his percentage profit?
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[Assistant] 30 %

[User]
a cricket bat is sold for $ 900, making a profit of $ 300. the profit percentage would be
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[Assistant] 50 %


[User]
210 college students were asked in a survey if they preferred windows or mac brand computers. 90 students claimed that they preferred mac to windows brand computers. one third as many of the students who preferred mac to windows, equally preferred both brands. 60 of the students had no preference. how many of the students in the survey preferred windows to mac brand computers?
Answer the question using a single word or phrase.

[Assistant] 60

[User]
210 school students were asked in a survey if they preferred windows or mac brand computers. 60 students claimed that they preferred mac to windows brand computers. one third as many of the students who preferred mac to windows, equally preferred both brands. 90 of the students had no preference. how many of the students in the survey preferred windows to mac brand computers?
Answer the question using a single word or phrase.

[Assistant] 40

[User]
speed of a boat in standing water is 11 kmph and speed of the stream is 2.5 kmph. a man can rows to a place at a distance of 105 km and comes back to the starting point. the total time taken by him is?
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[Assistant] 20.12 hours

[User]
a train 650 m long is running at a speed of 81 km / hr. in what time will it pass a bridge 340 m long?
Answer the question using a single word or phrase.

[Assistant] 44

[User]
what is the probability that carol and bernie will get selected for a job they both applied for in a company, given that their chances of getting selected is 4 / 5 and 3 / 5 respectively?
Answer the question using a single word or phrase.

[Assistant] 12 / 25


[User]
the weight of every type a widget is the same, the weight of every type b widget is the same, and the weight of every type c widget is the same. if the weight of 7 type a widgets is equal to the weight of 2 type b widgets, and the weight of 5 type b widgets is equal to the weight of 7 type c widgets. what is the ratio of the total weight of 1 type a widget and 1 type b widget, to the total weight of 1 type b widget and 1 type c widget?
Answer the question using a single word or phrase.

[Assistant] 3 : 4

[User]
a certain bag contains 100 balls â € ” 10 white, 30 green, 10 yellow, 47 red, and 3 purple. if a ball is to be chosen at random, what is the probability that the ball will be neither red nor purple?
Answer the question using a single word or phrase.

[Assistant] 0.5

[User]
how many bricks, each measuring 25 cm x 11 cm x 6 cm, will be needed to build a wall of 8 m x 1 m x 5 cm?
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[Assistant] 242

[User]
the breadth of a rectangular field is 60 % of its length. if the perimeter of the field is 800 m, find out the area of the field.
Answer the question using a single word or phrase.

[Assistant] 37500

[User]
among 400 students, 51 % study sociology, 46 % study mathematics and 40 % study biology. if 34 % of students study both mathematics and sociology, what is the largest possible number of students who study biology but do not study either mathematics or sociology?
Answer the question using a single word or phrase.

[Assistant] 148


[User]
( 0.0077 ) ( 3.6 ) / ( 0.04 ) ( 0.1 ) ( 0.007 ) =
Answer the question using a single word or phrase.

[Assistant] 990

[User]
in a certain candy store, 22 % of the customers are caught sampling the candy and are charged a small fine, but 12 % of the customers who sample the candy are not caught. what is the total percent of all customers who sample candy?
Answer the question using a single word or phrase.

[Assistant] 25 %

[User]
a lent rs. 5000 to b for 2 years and rs. 3000 to c for 4 years on simple interest at the same rate of interest and received rs. 1760 in all from both of them as interest. the rate of interest per annum is?
Answer the question using a single word or phrase.

[Assistant] 8 %

[User]
out of 4 numbers, the average of first 3 is 20 and that of the last 3 is 15. if the last number is 18, the first number is :
Answer the question using a single word or phrase.

[Assistant] 33

[User]
4 car rental agencies a, b, c and d rented a plot for parking their cars during the night. a parked 15 cars for 12 days, b parked 12 cars for 20 days, c parked 18 cars for 18 days and d parked 16 cars for 15 days. if a paid rs. 1125 as rent for parking his cars, what is the total rent paid by all the 4 agencies?
Answer the question using a single word or phrase.

[Assistant] rs. 6150


[User]
a can do a job in 15 days and b can do it in 30 days. a and b working together will finish twice the amount of work in - - - - - - - days?
Answer the question using a single word or phrase.

[Assistant] 20 days

[User]
at a supermarket, john spent 1 / 2 of his money on fresh fruits and vegetables, 1 / 3 on meat products, and 1 / 10 on bakery products. if he spent the remaining $ 10 on candy, how much did john spend at the supermarket?
Answer the question using a single word or phrase.

[Assistant] $ 150

[User]
the h. c. f. of two numbers is 12 and their l. c. m. is 600. if one of the number is 120, find the other?
Answer the question using a single word or phrase.

[Assistant] 60

[User]
66.2 is what percent of 1000?
Answer the question using a single word or phrase.

[Assistant] 6.62

[User]
if the sum and difference of two numbers are 5 and 10 respectively, then the difference of their square is :
Answer the question using a single word or phrase.

[Assistant] 50


[User]
find the least number which when divided by 56, 78 leaves a remainder 3 but when divided by 9 leaves no remainder
Answer the question using a single word or phrase.

[Assistant] 1683

[User]
a invested $ 150 in a business after 6 months b invested $ 200 in the business. end of the year if they got $ 100 as profit. find a shares?
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[Assistant] $ 60

[User]
for any number y, y * is defined as the greatest positive even integer less than or equal to y. what is the value of 9.2 – 9.2 *?
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[Assistant] 1.2

[User]
the area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of rs. 1.40 per meter. two gates of 1 m width each are to be left for entrance. what is the total cost?
Answer the question using a single word or phrase.

[Assistant] 932.4

[User]
$ 400 is divided amongst a, b and c so that a may get 2 / 3 as much as b and c together, b may get 6 / 9 as much as a and c together, then the share of a is
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[Assistant] $ 160


[User]
2. the value of x + x ( xx ) when x = 2 is :
Answer the question using a single word or phrase.

[Assistant] 10

[User]
find the value of x from the below equation? : x ^ 2 + 5 x + 25 = 0
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[Assistant] no answer

[User]
a doctor prescribed 18 cubic centimeters of a certain drug to a patient whose body weight was 75 pounds. if the typical dosage is 2 cubic centimeters per 15 pounds of the body weight, by what percent was the prescribed dosage greater than the typical dosage?
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[Assistant] 20 %

[User]
if two positive numbers are in the ratio 1 / 7 : 1 / 5, then by what percent is the second number more than the first?
Answer the question using a single word or phrase.

[Assistant] 40 %

[User]
30.5 % of 2000
Answer the question using a single word or phrase.

[Assistant] 610


[User]
if the operation x is defined by a x b = ( b - a ) ^ 2 / a ^ 2 for all numbers a and b, and a ≠ 0, then − 1 x ( 1 x − 1 ) =
Answer the question using a single word or phrase.

[Assistant] 25

[User]
the two lines y = x and x = - 3 intersect on the coordinate plane. if z represents the area of the figure formed by the intersecting lines and the x - axis, what is the side length of a cube whose surface area is equal to 6 z?
Answer the question using a single word or phrase.

[Assistant] 3 / √ 2

[User]
subtracting 4 % of a from a is equivalent to multiplying a by how much?
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[Assistant] 0.96

[User]
each of the integers from 0 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into a hat. if 5 of the slips are the drawn, without replacement, what is the probability that all 5 have a even number written on it?
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[Assistant] 1 / 252

[User]
if a and b are integers and ( a * b ) ^ 5 = 32 y, y could be :
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[Assistant] 1


[User]
in a lake, there is a patch of lily pads. every day, the patch doubles in size. it takes 39 days for the patch to cover the entire lake, how many days would it take the patch to cover half of the lake?
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[Assistant] 38

[User]
find the product of the localvalue and absolutevalue of 4 in 20468?
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[Assistant] 1600

[User]
marcella has 20 pairs of shoes. if she loses 9 individual shoes, what is the greatest number of matching pairs she could have left?
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[Assistant] 15

[User]
a miniature roulette wheel is divided into 10 equal sectors, each bearing a distinct integer from 1 to 10, inclusive. each time the wheel is spun, a ball randomly determines the winning sector by settling in that sector. if the wheel is spun five times, approximately what is the probability that the product of the five winning sectors ’ integers will be even?
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[Assistant] 97 %

[User]
on a map, 7 centimeters represents 35 kilometers. two cities 245 kilometers apart would be separated on the map by how many centimeters?
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[Assistant] 49


[User]
a certain bag contains 60 balls — 22 white, 10 green, 7 yellow, 15 red, and 6 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] 0.65

[User]
points a, b, c, and d, in that order, lie on a line. if ab = 2 cm, ac = 5 cm, and bd = 9 cm, what is cd, in centimeters?
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[Assistant] 6

[User]
if the area of a square with sides of length 4 centimeters is equal to the area of a rectangle with a width of 8 centimeters, what is the length of the rectangle, in centimeters?
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[Assistant] 2

[User]
the average of 6 numbers is 6.8. if one of the numbers is multiplied by a factor of 3, the average of the numbers increases to 9.2. what number is multiplied by 3?
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[Assistant] 7.2

[User]
two trains 200 m and 800 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks. the time which they take to cross each other is?
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[Assistant] 36


[User]
if 3 < x < 6 < y < 7, then what is the greatest possible positive integer difference of x and y?
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[Assistant] 3

[User]
the ratio between the perimeter and the width of a rectangle is 5 : 1. if the area of the rectangle is 96 square centimeters, what is the length of the rectangle in centimeters?
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[Assistant] 12

[User]
in a group of 90 people, 55 have visited iceland and 33 have visited norway. if 51 people have visited both iceland and norway, how many people have visited neither country?
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[Assistant] 53

[User]
in a dairy farm, 40 cows eat 40 bags of husk in 40 days. in how many days one cow will eat one bag of husk?
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[Assistant] 40

[User]
the average age of 4 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
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[Assistant] 26


[User]
one type of liquid contains 25 % of kerosene, the other contains 30 % of kerosene. p can is filled with 6 parts of the first liquid and 4 parts of the second liquid. find the percentage of the kerosene in the new mixture.
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[Assistant] 27 %

[User]
the ratio of income of anand to that of balu is 5 : 4 and the expenditure of anand to that of balu is 3 : 2. if at the end of the year, each saves rs, 800, the income of anand is :
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[Assistant] rs 2000

[User]
the largest natural number by which the product of 3 consecutive even natural numbers is always divisible, is
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[Assistant] 48

[User]
a sum of money is put out at compound interest for 2 years at 20 %. it would fetch rs. 482 more if the interest were payable half - yearly, then it were pay able yearly. find the sum?
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[Assistant] 2000

[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 5 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] 15


[User]
in the xy - coordinate plane, the graph of y = - x ^ 2 + 4 intersects line l at ( p, 5 ) and ( t, - 7 ). what is the least possible value of the slope of line l?
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[Assistant] - 4

[User]
the value of a machine depreciates at 25 % per annum. if its present value is $ 1, 50,000, at what price should it be sold after two years such that a profit of $ 24,000 is made?
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[Assistant] $ 108375

[User]
triangle atriangle b are similar triangles with areas 2268 units square and 2527 units square respectively. the ratio of there corresponding height would be
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[Assistant] 18 : 19

[User]
40 litres of diesel is required to travel 600 km using a 800 cc engine. if the volume of diesel required to cover a distance varies directly as the capacity of the engine, then how many litres of diesel is required to travel 800 km using 1200 cc engine?
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[Assistant] 80 litres

[User]
a and b go around a circular track of length 600 m on a cycle at speeds of 24 kmph and 60 kmph. after how much time will they meet for the first time at the starting point?
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[Assistant] 180 sec


[User]
the captain of a cricket team of 11 members is 28 years old and the wicket keeper is 3 years older. if the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. what is the average age of the team?
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[Assistant] 25 years

[User]
during 2003, a company produced an average of 2,000 products per month. how many products will the company need to produce from 2004 through 2007 in order to increase its monthly average for the period from 2003 through 2007 by 150 % over its 2003 average?
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[Assistant] 284,000

[User]
a library has an average of 510 visitors on sundays and 240 on other day. the average number of visitors in a month of 30 days starting with sunday is
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[Assistant] 285

[User]
a train speeds past a pole in 15 sec and a platform 150 m long in 25 sec, its length is?
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[Assistant] 225

[User]
there are 2 sections a and b in a class, consisting of 40 and 30 students respectively. if the average weight of section a is 50 kg and that of section b is 60 kg, find the average of the whole class?
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[Assistant] 54.28 kg


[User]
a customer purchased a package of ground beef at a cost of $ 1.76 per pound. for the same amount of money, the customer could have purchased a piece of steak that weighed 36 percent less than the package of ground beef. what was the cost per pound of the steak?
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[Assistant] $ 2.75

[User]
a train 275 meters long is running with a speed of 60 kmph. in what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
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[Assistant] 15 sec

[User]
lagaan is levied on the 60 percent of the cultivated land. the revenue department collected total rs. 3, 74,000 through the lagaan from the village of mutter. mutter, a very rich farmer, paid only rs. 480 as lagaan. the percentage of total land of mutter over the total taxable land of the village is :
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[Assistant] 0.2139

[User]
the average ( arithmetic mean ) of the even integers from 16 to 44 inclusive is how much greater than the average ( arithmetic mean ) of the even integers from 14 to 56 inclusive?
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[Assistant] 5

[User]
if a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is?
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[Assistant] 4 / 13


[User]
two employees a and b are paid a total of rs. 570 per week by their employer. if a is paid 150 percent of the sum paid to b, how much is b paid per week?
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[Assistant] s. 228

[User]
a company has two models of computers, model m and model n. operating at a constant rate, a model m computer can complete a certain task in 36 minutes and a model n computer can complete the same task in 18 minutes. if the company used the same number of each model of computer to complete the task in 1 minute, how many model m computers were used?
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[Assistant] 12

[User]
a retailer sold an appliance for $ 70. if the retailer's gross profit on the appliance was 25 percent of the retailer's cost for the appliance, how many dollars was the retailer's gross profit?
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[Assistant] $ 14

[User]
a sporting goods store sold 60 frisbees in one week, some for $ 3 and the rest for $ 4 each. if receipts from frisbee sales for the week totaled $ 200, what is the fewest number of $ 4 frisbees that could have been sold?
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[Assistant] 20

[User]
there are 16 bees in the hive, then 7 more fly. how many bees are there in all?
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[Assistant] 23