[User]
how many days per calendar year is the month a factor of the day
Answer the question using a single word or phrase.

[Assistant] 124

[User]
a contractor undertakes to do a job within 100 days and hires 10 people to do it. after 20 days, he realizes that one fourth of the work is done so he fires 2 people. in how many more days m will the work get over?
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[Assistant] m = 75

[User]
a train 100 m long crosses a platform 100 m long in 12 sec ; find the speed of the train?
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[Assistant] 60 kmph

[User]
the sum of three consecutive integers is 93. what are the integers?
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[Assistant] 30, 31,32

[User]
a store owner estimates that the average price of type a products will increase by 25 % next year and that the price of type b products will increase by 20 % next year. this year, the total amount paid for type a products was $ 4500 and the total price paid for type b products was $ 8300. according to the store owner's estimate, and assuming the number of products purchased next year remains the same as that of this year, how much will be spent for both products next year?
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[Assistant] $ 15,585


[User]
when n is divided by 20, the remainder is 6. what is the remainder when n + 16 is divided by 5?
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[Assistant] 1

[User]
on a sum of money, the s. i. for 2 years is $ 660, while the c. i. is $ 693, the rate of interest being the same in both the cases. the rate of interest is?
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[Assistant] 10 %

[User]
in a group of ducks and cows, the total number of legs are 32 more than twice the number of heads. find the total number of cows.
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[Assistant] 16

[User]
a is half good a work man as b and together they finish a job in 12 days. in how many days working alone b finish the job?
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[Assistant] 18

[User]
a cyclist traveled for two days. on the second day the cyclist traveled 4 hours longer and at an average speed 10 mile per hour slower than she traveled on the first day. if during the two days she traveled a total of 280 miles and spent a total of 10 hours traveling, what was her average speed on the second day?
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[Assistant] 40 mph


[User]
sum of two numbers prime to each other is 16 and their l. c. m. is 63. what are the numbers?
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[Assistant] 7 and 9

[User]
find the area of trapezium whose parallel sides are 22 cm and 18 cm long, and the distance between them is 15 cm.
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[Assistant] 300

[User]
18 men can complete a piece of work in 20 days. in how many days can 12 men complete that piece of work?
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[Assistant] 30 days

[User]
two trains each 150 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 70 kmph respectively. in what time will they cross each other completely?
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[Assistant] 7.2 sec

[User]
two trains a and b starting from two points and travelling in opposite directions, reach their destinations 9 hours and 4 hours respectively after meeting each other. if the train a travels at 60 kmph, find the rate at which the train b runs.
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[Assistant] 90


[User]
solution x is 10 percent alcohol by volume, and solution y is 30 percent alcohol by volume. how many milliliters of solution y must be added to 300 milliliters of solution x to create a solution that is 25 percent alcohol by volume?
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[Assistant] 900

[User]
a pet store regularly sells pet food at a discount of 10 percent to 30 percent from the manufacturer ’ s suggested retail price. if during a sale, the store discounts an additional 20 percent from the discount price, what would be the lowest possible price of a container of pet food that had a manufacturer ’ s suggested retail price o f $ 35.00?
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[Assistant] $ 19.60

[User]
when 242 is divided by a certain divisor the remainder obtained is 8. when 698 is divided by the same divisor the remainder obtained is 9. when the sum of the two numbers 242 and 698 is divided by the divisor, the remainder obtained is 4. what is the value of the divisor?
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[Assistant] 13

[User]
10 men can complete a piece of work in 35 days. in how many days can 7 men complete that piece of work?
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[Assistant] 50 days

[User]
mariah has decided to hire three workers. to determine whom she will hire, she has selected a group of 12 candidates. she plans to have one working interview with 3 of the 12 candidates every day to see how well they work together. how many days will it take her to have working interviews with all the different combinations of job candidates?
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[Assistant] 300


[User]
the number of positive integer solutions for the equation x + y + z + t = 10 is
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[Assistant] 84

[User]
two boys starts from the same place walking at the rate of 5.3 kmph and 5.6 kmph respectively in the same direction. what time will they take to be 10.5 km apart?
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[Assistant] 35

[User]
a train 320 m in length crosses a telegraph post in 16 seconds. the speed of the train is?
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[Assistant] 72 kmph

[User]
if x is a positive number and 1 / 2 the square root of x is the cube root of x, then x =
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[Assistant] 64

[User]
if k is the greatest positive integer such that 4 ^ k is a divisor of 32! then k =
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[Assistant] 10


[User]
evaluate : 434 - 12 * 3 * 2 =?
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[Assistant] 426

[User]
at the wholesale store you can buy an 8 - pack of hot dogs for $ 1.55, 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?
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[Assistant] 2,628

[User]
some of 60 % - intensity red paint is replaced with 30 % solution of red paint such that the new paint intensity is 40 %. what fraction of the original paint was replaced?
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[Assistant] 2 / 3

[User]
a bucket full of nuts was discovered by the crow living in the basement. the crow eats a fifth of the total number of nuts in 4 hours. how many hours in total will it take the crow to finish a quarter of the nuts?
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[Assistant] 5

[User]
2, 3, 4.5, 6.75, 10.12, (... )
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[Assistant] 15.18


[User]
there are 20 brown dogs, 10 white dogs, 15 black dogs. totally how many dogs are there in all?
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[Assistant] 45

[User]
in an examination, there were 2000 candidates, out of which 900 candidates were girls and rest were boys. if 28 % of the boys and 32 % of the girls passed, then the total percentage of failed candidates is?
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[Assistant] 70.20 %

[User]
if 3 ^ x * 4 ^ y = 1, 594,323 and x – y = 13, then x =?
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[Assistant] 13

[User]
if a speaks the truth 80 % of the times, b speaks the truth 60 % of the times. what is the probability that at least one will tell the truth
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[Assistant] 0.92

[User]
joe invested a certain sum of money in a simple interest bond whose value grew to $ 460 at the end of 3 years and to $ 560 at the end of another 5 years. what was the rate of interest in which he invested his sum?
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[Assistant] 5 %


[User]
jane makes toy bears. when she works with an assistant, she makes 80 percent more bears per week and works 10 percent fewer hours each week. having an assistant increases jane ’ s output of toy bears per hour by what percent t?
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[Assistant] 100 %

[User]
a palindrome is a number that reads the same forward and backward, such as 787. how many even, 8 - digit numbers are palindromes?
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[Assistant] 4000

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

[User]
if a boat is rowed downstream for 200 km in 10 hours and upstream for 96 km in 12 hours, what is the speed of the boat and the river?
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[Assistant] 14, 6

[User]
in what time will a car 10 m long moving at the rate of 36 kmph pass a telegraph post on its way?
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[Assistant] 1 sec


[User]
at an upscale fast - food restaurant, shin can buy 3 burgers, 7 shakes, and one cola for $ 130. at the same place it would cost $ 164.50 for 4 burgers, 10 shakes, and one cola. how much would it cost for a meal of one burger, one shake, and one cola?
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[Assistant] $ 61

[User]
if the sum of a number and its square is 306, what is the number?
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[Assistant] 17

[User]
the price of a t. v. set worth rs. 15000 is to be paid in 20 installments of rs. 2000 each. if the rate of interest be 6 % per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be?
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[Assistant] 13000

[User]
a train 180 m long running at 70 kmph crosses a platform in 20 sec. what is the length of the platform?
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[Assistant] 208

[User]
a person spends 40 % of his salary on food, 25 % on house rent, 15 % on entertainment and 5 % on conveyance. if his savings at the end of the month is rs. 2700, then his salary per month in rupees is :
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[Assistant] 18000


[User]
two trucks each 250 m long are running in opposite directions on parallel paths. their speeds are 30 km / hr and 20 km / hr respectively. find the time taken by the slower train to pass the driver of the faster one?
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[Assistant] 36 sec

[User]
if a * b * c = 130, b * c * d = 65, c * d * e = 1000 and d * e * f = 150 the ( a * f ) / ( c * d ) =?
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[Assistant] 1 / 3

[User]
two numbers are less than third number by 25 % and 37 % respectively. how much percent is the second number less than by the first
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[Assistant] 6 %

[User]
for any integer k greater than 1, the symbol k * denotes the product of all the fractions of the form 1 / t, where t is an integer between 1 and k, inclusive. what is the value of 6 * / 4 *?
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[Assistant] 1 / 4

[User]
if @ is a binary operation defined as the difference between an integer n and the product of n and 5, then what is the largest positive integer n such that the outcome of the binary operation of n is less than 10?
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[Assistant] 2


[User]
how many seconds will a 400 meter long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr?
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[Assistant] 900

[User]
if a and b are the roots of the equation x 2 - 8 x + 8 = 0, then the value of a 2 + b 2 is :
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[Assistant] 48

[User]
evaluate : 45678 * 8 * 4 * 8 =?
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[Assistant] 730848

[User]
what is the total number of positive integers that are less than 200 and that have no positive factor in common with 200 other than 1?
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[Assistant] 80

[User]
it costs $ 6 for the first 1 / 4 hour to use the copier at kinkos. after the first ¼ hour it costs $ 8 per hour. if a certain customer uses the copier for 4 hours and 25 minutes, how much will it cost him?
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[Assistant] $ 39.33


[User]
how many internal diagonals does a nonagon ( nine sided polygon ) have?
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[Assistant] 27

[User]
if a lends rs. 3200 to b at 12 % per annum and b lends the same sum to c at 14.5 % per annum then the gain of b in a period of 5 years is?
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[Assistant] 400

[User]
country x taxes each of its citizens an amount equal to 12 percent of the first $ 40,000 of income, plus 20 percent of all income in excess of $ 40,000. if a citizen of country x is taxed a total of $ 8,000, what is her income?
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[Assistant] $ 56,000

[User]
in a kilometer race, a beats b by 54 meters or 12 seconds. what time does a take to complete the race?
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[Assistant] 212

[User]
find the average of all prime numbers between 60 and 90
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[Assistant] 77


[User]
5 letters have to be put in 5 different envelopes numbered 1 through 5 such that each of the letters go into only 1 envelope. the letter is said to be put in correct position if for example letter 1 goes into envelope 1. now what is the probability that all letters be put into wrong envelopes?
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[Assistant] 11 / 30

[User]
a rectangular lawn of dimensions 70 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. what is the cost of traveling the two roads at rs. 3 per sq m?
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[Assistant] s. 3600

[User]
the distance from city a to city b is 220 miles. while driving from city a to city b, bob drives at a constant speed of 40 miles per hour. alice leaves city a 30 minutes after bob. what is the minimum constant speed in miles per hour that alice must exceed in order to arrive in city b before bob?
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[Assistant] 44

[User]
one fourth of a solution that was 10 % sugar by weight was replaced by a second solution resulting in a solution that was 18 percent sugar by weight. the second solution was what percent sugar by weight?
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[Assistant] 42 %

[User]
the average salary / head of all the workers in a workshop is rs. 700, if the average salary / head of 5 technician is rs. 800 and the average salary / head of the rest is rs. 650, the total no. of workers in the work - shop is?
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[Assistant] 15


[User]
there are 9 executives, including the ceo and cfo, that are asked to form a small team of 5 members. however, the ceo and cfo may not both be assigned to the team. given this constraint, how many ways are there to form the team?
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[Assistant] 91

[User]
there are 720 male and female participants in a meeting. half the female participants and one - quarterof the male participants are democrats. one - third of all the participants are democrats. how many of the democrats are female?
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[Assistant] 120

[User]
in the first 20 overs of a cricket game, the run rate was only 4.2. what should be the rate in the remaining 30 overs to reach the target of 250 runs?
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[Assistant] 5.53

[User]
in the biology lab of ` ` jefferson ''high school there are 0.036 * 10 ^ 5 germs, equally divided among 45000 * 10 ^ ( - 3 ) petri dishes. how many germs live happily in a single dish?
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[Assistant] 80

[User]
if the wheel is 10 cm then the number of revolutions to cover a distance of 1200 cm is?
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[Assistant] 19


[User]
in an apartment building that has 441 units, 4 out of every 7 units are currently rented, including 1 / 5 of the one - bedroom units. if, of the rented apartments, there is a 6 : 1 ratio of two - bedroom units to one - bedroom units, and the building only consists of two - bedroom and one - bedroom units, how many two - bedroom units are not rented?
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[Assistant] 45

[User]
john was 35 years old when he married betty. they just celebrated their fifth wedding anniversary, and betty's age is now 7 / 8 of john's. how old is betty?
Answer the question using a single word or phrase.

[Assistant] 35

[User]
the owner of a furniture shop charges his customer 25 % more than the cost price. if a customer paid rs. 4800 for a computer table, then what was the cost price of the computer table?
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[Assistant] rs. 3840

[User]
the length of a rectangular plot is thrice its breadth. if the area of the rectangular plot is 675 sq m, then what is the breadth of the rectangular plot?
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[Assistant] 15

[User]
in a sports club with 30 members, 16 play badminton and 19 play tennis and 2 do not play either. how many members play both badminton and tennis?
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[Assistant] 7


[User]
two trains 50 m and 120 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?
Answer the question using a single word or phrase.

[Assistant] 6.12 sec

[User]
a large field of 500 hectares is divided into two parts. the difference of the areas of the two parts is one - fifth of the average of the two areas. what is the area of the smaller part in hectares?
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[Assistant] 225

[User]
a small college reduced its faculty by approximately 25 percent to 195 professors. what was the original number of faculty members?
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[Assistant] 260

[User]
a rectangular grass field is 75 m * 55 m, it has a path of 3.5 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] s. 1918

[User]
a jogger running at 9 km / hr along side a railway track is 240 m ahead of the engine of a 150 m long train running at 45 km / hr in the same direction. in how much time will the train pass the jogger?
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[Assistant] 39 sec


[User]
a bag making machine can make 20 bags per hour. if the company adjusts the machine to produce twice the amount per hour to satisfy expected rise in demand. how many bags can the machine make in the next 5 days if it works 10 hours a day?
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[Assistant] 2,000

[User]
0 - - - : - | - - - : - - | - : - - : - | - - : - - - | - : - - - - 1 on the number line above, the segment from 0 to 1 has been divided into fifths, as indicated by the large tick marks, and also into sevenths, as indicated by the small tick marks. what is the least possible distance z between any two of the tick marks?
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[Assistant] 1 / 35

[User]
an alloy of copper and zinc contains copper and zinc in the ratio 3 : 5. another alloy of copper and zinc contains copper and zinc in the ratio 6 : 2. in what ratio should the two alloys be mixed so that the resultant alloy contains equal proportions of copper and zinc?
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[Assistant] 1 : 2

[User]
david obtained 76, 65, 82, 67 and 85 marks ( out in 100 ) in english, mathematics, physics, chemistry and biology. what are his average marks?
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[Assistant] 75

[User]
51 + 52 + 53 +......... + 100 ) is equal to
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[Assistant] 3775


[User]
a train requires 12 seconds to pass a pole while it requires 27 seconds to cross a stationary train which is 300 mtrs long. find the speed of the train.
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[Assistant] 72 kmph

[User]
a salesman sold twice as much pears in the afternoon than in the morning. if he sold 360 kilograms of pears that day, how many kilograms did he sell in the morning and how many in the afternoon?
Answer the question using a single word or phrase.

[Assistant] 240

[User]
two goods trains each 500 m long are running in opposite directions on parallel tracks. their speeds are 30 km / hr and 30 km / hr respectively. find the time taken by the slower train to pass the driver of the faster one?
Answer the question using a single word or phrase.

[Assistant] 60 sec

[User]
a company conducted a survey about its two brands, a and b. x percent of respondents liked product a, ( x – 20 ) percent liked product b, 23 percent liked both products, and 23 percent liked neither product. what is the minimum number f of people surveyed by the company?
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[Assistant] f = 100

[User]
a survey of n people in the town of eros found that 50 % of them preferred brand a. another survey of 130 people in the town of angie found that 60 % preferred brand a. in total, 55 % of all the people surveyed together preferred brand a. what is the total number of people surveyed?
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[Assistant] 260


[User]
the expression x # y denotes the product of the consecutive multiples of 3 between x and y, inclusive. what is the sum of the exponents in the prime factorization of 21 # 36?
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[Assistant] 18

[User]
a grocer has a sale of rs. 435, rs. 927, rs. 855, rs. 230 and rs. 562 for 5 consecutive days. how much sale must he have in the sixth day so that he gets an average sale of rs. 625?
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[Assistant] rs 741

[User]
find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 13 cm.
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[Assistant] 247 cm 2

[User]
the monthly rent of a shop of dimension 10 feet × 8 feet is rs. 2400. what is the annual rent per square foot of the shop?
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[Assistant] 360

[User]
find compound interest on $ 12000 at 15 % per annum for 2 years 4 months, compounded annually.
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[Assistant] 4663.5


[User]
sale of rs 6835, rs. 9927, rs. 6855, rs. 7230 and rs. 6562 for 5 consecutive months. how much sale must he have in the sixth month so that he gets an average sale of rs, 6900?
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[Assistant] 7391

[User]
if 60 percent of 600 is 50 percent of x, then x =?
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[Assistant] 720

[User]
the length of the bridge, which a train 145 m long and traveling at 45 km / hr can cross in 30 sec is?
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[Assistant] 230

[User]
a $ 89.95 lawn chair was sold for $ 59.95 at a special sale. by approximately what percent was the price decreased?
Answer the question using a single word or phrase.

[Assistant] 33 %

[User]
a money lender lent rs. 1000 at 3 % per year and rs. 1400 at 5 % per year. the amount should be returned to him when the total interest comes to rs. 390. find the number of years.
Answer the question using a single word or phrase.

[Assistant] 3.9


[User]
company c produces toy trucks at a cost of $ 5.00 each for the first 100 trucks and $ 3.50 for each additional truck. if 500 toy trucks were produced by company c and sold for $ 12.00 each, what was company c ’ s gross profit?
Answer the question using a single word or phrase.

[Assistant] $ 4,100

[User]
a car averages 50 mph for the first 4 hours of a trip and averages 80 mph for each additional hour. the average speed for the entire trip was 65 mph. how many hours long is the trip?
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[Assistant] 8

[User]
a sum of rs. 1000 at simple interest amounts to rs. 1192 in 4 years. the s. i. for 1 year is :
Answer the question using a single word or phrase.

[Assistant] rs. 48

[User]
a shopkeeper sells his goods at cost price but uses a faulty meter that weighs 900 grams. find the profit percent.
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[Assistant] 11.11

[User]
if 0.5 % of a = 75 paise, then the value of a is?
Answer the question using a single word or phrase.

[Assistant] rs. 150


[User]
if | 4 x + 6 | = 46, what is the sum of all the possible values of x?
Answer the question using a single word or phrase.

[Assistant] - 2

[User]
( √ 27 + √ 192 ) / √ 54 =?
Answer the question using a single word or phrase.

[Assistant] 11 / ( 3 * √ 2 )

[User]
60 % of x is greater than 1 / 3 rd of x by 110. what is x?
Answer the question using a single word or phrase.

[Assistant] 412.5

[User]
a train traveling at 72 kmph crosses a platform in 32 seconds and a man standing on the platform in 18 seconds. what is the length of the platform in meters?
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[Assistant] 280 meters

[User]
a man buys a cycle for rs. 1400 and sells it at a loss of 5 %. what is the selling price of the cycle?
Answer the question using a single word or phrase.

[Assistant] s. 1330


[User]
the population of a bacteria colony doubles every day. if it was started 5 days ago with 2 bacteria and each bacteria lives for 12 days, how large is the colony today?
Answer the question using a single word or phrase.

[Assistant] 64

[User]
a goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 36 seconds. what is the length of the goods train?
Answer the question using a single word or phrase.

[Assistant] 470 m

[User]
if an integer n is to be selected at random from 1 to 900, inclusive, what is probability n ( n + 1 ) will be divisible by 9?
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[Assistant] 2 / 9

[User]
find the sum the difference between the compound and s. i. on a certain sum of money for 2 years at 10 % per annum is rs. 100 of money?
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[Assistant] 2000

[User]
45 workers work 8 hours to dig a hole 30 meters deep. how many extra workers should be hired to dig another hole 45 meters deep by working for 6 hours?
Answer the question using a single word or phrase.

[Assistant] 45


[User]
if p / q = 4 / 5, then the value of 4 / 7 + { ( 2 q - p ) / ( 2 q + p ) } is?
Answer the question using a single word or phrase.

[Assistant] 1

[User]
patrick purchased 70 pencils and sold them at a loss equal to the selling price of 20 pencils. the cost of 70 pencils is how many times the selling price of 70 pencils?
Answer the question using a single word or phrase.

[Assistant] 1.28

[User]
3 men and 8 women complete a task in same time as 6 men and 2 women do. how much fraction of work will be finished in same time if 4 men and 5 women will do that task.
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[Assistant] 13 / 14

[User]
40 % of x is greater than 1 / 3 rd of x by 110. what is x?
Answer the question using a single word or phrase.

[Assistant] 1650

[User]
the ratio of boarders to day students at a school was originally 5 to 12. however, after a number of new boarders join the initial 330 boarders, the ratio changed to 1 to 2. if no boarders became day students and vice versa, and no students left the school, how many new boarders joined the school?
Answer the question using a single word or phrase.

[Assistant] 66


[User]
a flagpole 18 meters high casts a shadow of length 45 meters. if a building under similar conditions casts a shadow of length 70 meters, what is the height of the building ( in meters )?
Answer the question using a single word or phrase.

[Assistant] 28

[User]
the average weight of a group of boys is 20 kg. after a boy of weight 33 kg joins the group, the average weight of the group goes up by 1 kg. find the number of boys in the group originally?
Answer the question using a single word or phrase.

[Assistant] 12

[User]
presently the ratio between the ages of dan and james is 6 : 5. after 4 years dan will be 28. what is the present age of james?
Answer the question using a single word or phrase.

[Assistant] 20

[User]
the sum of two numbers is 62, and one of them is 12 more than the other. what are the two numbers?
Answer the question using a single word or phrase.

[Assistant] 25 - 37

[User]
a tank is filled by 3 pipes a, b, c in 5 hours. pipe c is twice as fast as b and b is twice as fast as a. how much will pipe a alone take to fill the tank?
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[Assistant] 35 hr


[User]
if 12 men and 16 boys can do a piece of work in 5 days ; 13 men and 24 boys can do it in 4 days, then the ratio of the daily work done by a man to that of a boy is?
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[Assistant] 2 : 1

[User]
a certain company ’ s profit in 1996 was 20 percent greater than its profit in 1995, and its profit in 1997 was 20 percent greater than its profit in 1996. the company ’ s profit in 1997 was what percent greater than its profit in 1995?
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[Assistant] 44 %

[User]
a cycle is bought for rs. 670 and sold for rs. 880, find the gain percent?
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[Assistant] 31 %

[User]
a certain no. when divided by 20 leaves a remainder 25, what is the remainder if the same no. be divided by 15?
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[Assistant] 3

[User]
the s. i. on a certain sum of money for 6 years at 14 % per annum is half the c. i. on rs. 7000 for 2 years at 7 % per annum. the sum placed on s. i. is?
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[Assistant] 603.75


[User]
selling an kite for rs. 30, a shop keeper gains 20 %. during a clearance sale, the shopkeeper allows a discount of 10 % on the marked price. his gain percent during the sale is?
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[Assistant] 8 %

[User]
a fruit seller sells mangoes at the rate of rs. 10 per kg and thereby loses 15 %. at what price per kg, he should have sold them to make a profit of 5 %
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[Assistant] rs 12.35

[User]
a certain galaxy is known to comprise approximately 3 x 10 ^ 11 stars. of every 50 million of these stars, one is larger in mass than our sun. approximately how many stars in this galaxy are larger than the sun?
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[Assistant] 6,000

[User]
a hostel had provisions for 250 men for 32 days. if 50 men left the hostel, how long will the food last at the same rate?
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[Assistant] 40

[User]
a cube has a volume of 216 cubic feet. if a similar cube is twice as long, twice as wide, and twice as high, then the volume, in cubic feet of such cube is?
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[Assistant] 1728


[User]
if the simple interest on a sum of money for 2 years at 5 % per annum is rs. 55, what is the compound interest on the same sum at the rate and for the same time?
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[Assistant] s. 56.37

[User]
if 2 ^ ( 2 w ) = 8 ^ ( w − 4 ), what is the value of w?
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[Assistant] 12

[User]
a is twice as good as b. and together they finish a piece of work in 18 days. in how many days will a alone finish the work
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[Assistant] 27

[User]
what is the local value of 7 in the difference of 100889 and local value of 3 in 28943712?
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[Assistant] 7000

[User]
everyone shakes hands with everyone else in a room. total number of handshakes is 55. number of persons =?
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[Assistant] 11


[User]
a man sells a car to his friend at 14 % loss. if the friend sells it for rs. 54000 and gains 20 %, the original c. p. of the car was :
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[Assistant] rs. 52325.58

[User]
a dishonest shopkeeper professes to sell pulses at the cost price, but he uses a false weight of 960 gm. for a kg. his gain is … %.
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[Assistant] 4.16 %

[User]
increasing the original price of an article by 10 percent and then increasing the new price by 10 percent is equivalent to increasing the original price by
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[Assistant] 21 %

[User]
a can run 1.5 km distance in 2 min 20 seconds, while b can run this distance in 2 min 30 sec. by how much distance can a beat b?
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[Assistant] 100 m

[User]
a 6 % stock yields 8 %. the market value of the stock is?
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[Assistant] rs. 75


[User]
if y is the smallest positive integer such that 6300 multiplied by y is the square of an integer, then y must be
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[Assistant] 7

[User]
if the farmer sells 75 of his chickens, his stock of feed will last for 20 more days than planned, but if he buys 100 more chickens, he will run out of feed 15 days earlier than planned. if no chickens are sold or bought, the farmer will be exactly on schedule. how many chickens does the farmer have?
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[Assistant] 300

[User]
if the average of t, b, c, 14 and 15 is 12. what is the average value of t, b, c and 29
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[Assistant] 15

[User]
sachin is younger than rahul by 6 years. if the ratio of their ages is 7 : 9, find the age of sachin
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[Assistant] 15

[User]
if p # q denotes the least common multiple of p and q, then q = ( ( 12 # 16 ) # ( 18 # 24 ) ) =?
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[Assistant] 144


[User]
the difference between a two - digit number and the number obtained by interchanging the digits is 9. what is the difference between the two digits of the number?
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[Assistant] none of these

[User]
81, 64, 27, 16...
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[Assistant] 9

[User]
set x consists of all two - digit primes and set y consists of all positive odd multiples of 7 less than 100. if the two sets are combined into one, what will be the range of the new set?
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[Assistant] 90

[User]
a shopkeeper sold an article offering a discount of 10 % and earned a profit of 25 %. what would have been the percentage of profit earned if no discount was offered?
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[Assistant] 39 %

[User]
a certain high school has 500 students. of these students, 30 are taking music, 20 are taking art, and 10 are taking both music and art. how many students are taking neither music nor art?
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[Assistant] 460


[User]
a ranch has both horses and ponies. exactly 3 / 10 of the ponies have horseshoes, and exactly 5 / 8 of the ponies with horseshoes are from iceland. if there are 3 more horses than ponies, what is the minimum possible combined number of horses and ponies on the ranch?
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[Assistant] 163

[User]
two bullet trains of equal lengths take 10 seconds and 15 seconds respectively to cross a telegraph post. if the length of each bullet train be 120 metres, in what time ( in seconds ) will they cross each other travelling in opposite direction?
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[Assistant] 12 sec.

[User]
there is food for 760 men for 22 days. how many more men should join after two days so that the same food may last for 8 days more?
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[Assistant] 1140

[User]
if the price of a tv is first decreased by 20 % and then increased by 55 %, then the net change in the price will be :
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[Assistant] 24 % increase

[User]
what is the smallest integer c for which 27 ^ c > 3 ^ 24?
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[Assistant] 9


[User]
in order to obtain an income of rs. 600 from 12 % stock at rs. 106, one must make an investment of
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[Assistant] 7632

[User]
speed of a boat in standing water is 16 kmph and the speed of the stream is 2 kmph. a man rows to a place at a distance of 7200 km and comes back to the starting point. the total time taken by him is :
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[Assistant] 914.2 hours

[User]
a alone can do a piece of work in 6 days and b alone in 8 days. a and b undertook to do it for rs. 7000. with the help of c, they completed the work in 3 days. how much is to be paid to c?
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[Assistant] s. 875

[User]
what is the average ( arithmetic mean ) of all multiples of 10 from 10 to 400 inclusive?
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[Assistant] 205

[User]
a train 130 m long is running with a speed of 60 km / hr. in what time will it pass a man who is running at 4 km / hr in the direction opposite to that in which the train is going?
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[Assistant] 7.13


[User]
after giving a discount of rs. 80 the shopkeeper still gets a profit of 10 %, if the cost price is rs. 200. find the markup %?
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[Assistant] 31 %

[User]
if the digits 27 in the decimal 0.00027 repeat indefinitely, what is the value of ( 10 ^ 5 - 10 ^ 3 ) ( 0.00027 )?
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[Assistant] 27

[User]
one ball will drop from a certain height. the height it will reach after rebounding from the floor is 50 percent of the previous height. the total travel is 200 cm when it touches the floor on third time. what is the value of the original height?
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[Assistant] 80 cm

[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 ( 5, 3 ), what is the area of that square?
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[Assistant] 256

[User]
in a school with 652 students, the average age of the boys is 12 years and that of the girls is 11 years. if the average age of the school is 11 years 9 months, then the number of girls in the school is
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[Assistant] 163


[User]
( 35423 + 7164 + 41720 ) - ( 317 x 89 ) =?
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[Assistant] 54094

[User]
in a garden, there are yellow and green flowers which are straight and curved. if the probability of picking a green flower is 2 / 3 and picking a straight flower is 1 / 2, then what is the probability of picking a flower which is yellow and straight
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[Assistant] 1 / 6

[User]
how many words, with or without meaning, can be formed using all letters of the word beautiful using each letter exactly once?
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[Assistant] 362,880

[User]
a shopkeeper sells his goods at cost price but uses a faulty meter that weighs 940 grams. find the profit percent.
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[Assistant] 6.38

[User]
the average of first six multiples of 4 is :
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[Assistant] 14


[User]
a person can row at 10 kmph in still water. if the velocity of the current is 2 kmph and it takes him 20 hour to row to a place and come back, how far is the place?
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[Assistant] 96 km

[User]
during a sale, the price of a pair of shoes is marked down 20 % from the regular price. after the sale ends, the price goes back to the original price. what is the percent of increase to the nearest percent from the sale price back to the regular price for the shoes?
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[Assistant] 25 %

[User]
in what time will a train 320 m long cross an electric pole, it its speed be 144 km / hr?
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[Assistant] 8.0 sec

[User]
among 200 students, 56 % study sociology, 44 % study mathematics and 40 % study biology. if 30 % 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?
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[Assistant] 60

[User]
a person can row at 10 kmph in still water. if the velocity of the current is 2 kmph and it takes him 5 hour to row to a place and come back, how far is the place?
Answer the question using a single word or phrase.

[Assistant] 24 km


[User]
what is the cost of leveling the field in the form of parallelogram at the rate of rs. 70 / 10 sq. metre, whose base & perpendicular distance from the other side being 84 m & 24 m respectively?
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[Assistant] s. 2016

[User]
during a certain two - week period, 70 percent of the movies rented from a video store were comedies, and of the remaining movies rented, there were 5 times as many dramas as action movies. if no other movies were rented during that two - week period and there were a action movies rented, then how many comedies, in terms of a, were rented during that two - week period?
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[Assistant] 14 a

[User]
country x taxes each of its citizens an amount equal to 11 percent of the first $ 40,000 of income, plus 20 percent of all income in excess of $ 40,000. if a citizen of country x is taxed a total of $ 8,000, what is her income?
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[Assistant] $ 58,000

[User]
list k consists of 14 consecutive integers. if - 4 is the least integer in list k, what is the range of the positive integers in list k?
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[Assistant] 8

[User]
a person travels equal distances with speeds of 3 km / hr, 4 km / hr and 5 km / hr and takes a total time of 40 minutes. the total distance is?
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[Assistant] 2.55 km


[User]
the average of 20 results is 65 and the average of other 65 results is 20. what is the average of all the results?
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[Assistant] 30

[User]
by investing rs. 1620 in 8 % stock, michael earns rs. 135. the stock is then quoted at
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[Assistant] 96

[User]
in an election only two candidates contested. a candidate secured 70 % of the valid votes and won by a majority of 192 votes. find the total number of valid votes?
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[Assistant] 480

[User]
how many liters of water must be evaporated from 50 liters of a 3 - percent sugar solution to get a 20 - percent solution?
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[Assistant] 45

[User]
a combustion reaction forms carbon dioxide. a carbon dioxide molecule contains one carbon and two oxygen atoms. if, over a period of 10 minutes, a combustion reaction creates 10,000 molecules of carbon dioxide then approximately how many more atoms of oxygen than carbon are created on average per minute?
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[Assistant] 1,000


[User]
find the average of all the numbers between 6 and 34 which is divisible by 5
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[Assistant] 20

[User]
. 3 + 33 + 333 + 3.33 =?
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[Assistant] 369.63

[User]
an woman swims downstream 45 km and upstream 25 km taking 5 hours each time ; what is the speed of the current?
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[Assistant] 2

[User]
find a sum for first 6 prime number'ss?
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[Assistant] 41

[User]
a computer factory produces 8400 computers per month at a constant rate, how many computers are built every 30 minutes assuming that there are 28 days in one month?
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[Assistant] 6.25.


[User]
what least number should be subtracted from 3,381 so that the remainder when divided by 9, 11, and 17 will leave in each case the same remainder 8?
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[Assistant] 7

[User]
a trader marked the selling price of an article at 40 % above the cost price. at the time of selling, he allows certain discount and suffers a loss of 1 %. he allowed a discount of :
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[Assistant] 7.8 %

[User]
diana is painting statues. she has 7 / 16 of a gallon of paint remaining. each statue requires 1 / 16 gallon of paint. how many statues can she paint?
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[Assistant] 7

[User]
fresh grapes contain 60 % by weight while dried grapes contain 20 % water by weight. what is the weight of dry grapes available from 30 kg of fresh grapes?
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[Assistant] 15 kg

[User]
without stoppages, a train travels certain distance with an average speed of 80 km / h, and with stoppages, it covers the same distance with an average speed of 60 km / h. how many minutes per hour the train stops?
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[Assistant] 15


[User]
if 5 / ( 4 + 1 / x ) = 1, then x =
Answer the question using a single word or phrase.

[Assistant] 1

[User]
the average age of a class of 22 students is 21 years. the average increased by 1 when the teacher's age also included. what is the age of the teacher?
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[Assistant] 44

[User]
by selling 88 pens, a trader gains the cost of 22 pens. find his gain percentage?
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[Assistant] 25 %

[User]
the population of a bacteria colony doubles every day. if it was started 9 days ago with 2 bacteria and each bacteria lives for 13 days, how large is the colony today?
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[Assistant] 1024

[User]
due to construction, the speed limit along an 9 - mile section of highway is reduced from 55 miles per hour to 35 miles per hour. approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit?
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[Assistant] 7


[User]
if k is a non - negative integer and 18 ^ k is a divisor of 624,938 then 6 ^ k - k ^ 6 =
Answer the question using a single word or phrase.

[Assistant] 1

[User]
in the first m games of a team's season, the ratio of the team's wins to its losses was 1 : 3. in the subsequent n games, the ratio of the team ´ s wins to losses was 2 : 3. if m : n = 4 : 5, what was the ratio of the team's wins to its losses for all m + n games?
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[Assistant] 1 : 2

[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 55 km more than the other. what is the distance between the two stations?
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[Assistant] 495 km

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

[User]
in a division sum, the remainder is 6 and the divisor is 5 times the quotient and is obtained by adding 17 to the thrice of the remainder. the dividend is
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[Assistant] 146


[User]
if albert ’ s monthly earnings rise by 36 %, he would earn $ 495. if, instead, his earnings rise by only 25 %, how much ( in $ ) would he earn this month?
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[Assistant] 454

[User]
lilly has 10 fish and rosy has 9 fish. in total, how many fish do they have in all?
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[Assistant] 19

[User]
after giving a discount of rs. 100 the shopkeeper still gets a profit of 30 %, if the cost price is rs. 1000. find the markup %?
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[Assistant] . 40

[User]
of the goose eggs laid at a certain pond, 1 / 3 hatched and 4 / 5 of the geese that hatched from those eggs survived the first month. of the geese that survived the first month, 3 / 5 did not survive the first year. if 120 geese survived the first year and if no more than one goose hatched from each egg, how many goose eggs were laid at the pond?
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[Assistant] 1125

[User]
a certain car traveled twice as many miles from town a to town b as it did from town b to town c. from town a to town b, the car averaged 20 miles per gallon, and from town b to town c, the car averaged 24 miles per gallon. what is the average miles per gallon that the car achieved on its trip from town a through town b to town c?
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[Assistant] 30


[User]
a bowl of fruit contains 10 apples and 23 oranges. how many oranges must be removed so that 50 % of the pieces of fruit in the bowl will be apples?
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[Assistant] 13

[User]
given that p is a positive even integer with a positive units digit, if the units digit of p ^ 3 minus the units digit of p ^ 2 is equal to 0, what is the units digit of p + 5?
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[Assistant] 11

[User]
if a / x = 1 / 3 and a / y = 1 / 4, then ( x + y ) =
Answer the question using a single word or phrase.

[Assistant] 7 a

[User]
for the past n days, the average ( arithmetic mean ) daily production at a company was 70 units. if today's production of 90 units raises the average to 75 units per day, what is the value of n?
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[Assistant] 3

[User]
a is twice as good a work man as b and together they finish the work in 6 days. in how many days a alone can finish the work?
Answer the question using a single word or phrase.

[Assistant] 9


[User]
three cubes of metal whose edges are 9, 12 and 21 cm respectively, are melted and one new cube is made. find the edge of the new cube?
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[Assistant] 22.7

[User]
a bottle contains a certain solution. in the bottled solution, the ratio of water to soap is 3 : 2, and the ratio of soap to salt is five times this ratio. the solution is poured into an open container, and after some time, the ratio of water to soap in the open container is halved by water evaporation. at that time, what is the ratio of water to salt in the solution?
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[Assistant] 45 : 8

[User]
if a @ b = a * b ^ ( 1 / 2 ) then 4 @ 9 =? self made
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[Assistant] 12

[User]
population of a city in 20004 was 1000000. if in 2005 there isan increment of 25 %, in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45 %, then find the population of city atthe end of the year 2007
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[Assistant] 1178125

[User]
the difference between simple interest and compound interest of a certain sum of money at 20 % per annum for 2 years is $ 48. then the sum is
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[Assistant] $ 1200


[User]
the equal amounts of money are deposited in two banks each at 15 % per annum for 3.5 years and 5 years respectively. if the difference between their interests is rs. 144, find the each sum?
Answer the question using a single word or phrase.

[Assistant] 640

[User]
the number of stamps that p and q had were in the ratio of 5 : 3 respectively. after p gave q 10 stamps, the ratio of the number of p's stamps to the number of q's stamps was 9 : 7. as a result of the gift, p had how many more stamps than q?
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[Assistant] 20

[User]
if y is the smallest positive integer such that 31,360 multiplied by y is the square of an integer, then y must be
Answer the question using a single word or phrase.

[Assistant] 10

[User]
solution y is 30 percent liquid x and 70 percent water. if 3 kilograms of water evaporate from 8 kilograms of solution y and 3 kilograms of solution y are added to the remaining 6 kilograms of liquid, what percent of this new solution is liquid x?
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[Assistant] 41.3 %

[User]
a train 480 m in length crosses a telegraph post in 16 seconds. the speed of the train is?
Answer the question using a single word or phrase.

[Assistant] 108 kmph


[User]
if 2.5 of a number is equal to 0.75 of another number, the ratio of the numbers is :
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[Assistant] 3 : 10

[User]
the average weight of 29 students is 28 kg. by the admission of a new student, the average weight is reduced to 27.5 kg. the weight of the new student is
Answer the question using a single word or phrase.

[Assistant] 13 kg

[User]
if 4 tic equals 3 tacs and 6 tacs equal 4 tocs, what is the ratio of one tic to one toc?
Answer the question using a single word or phrase.

[Assistant] 2 / 1

[User]
the speed of a boat in still water is 30 kmph. what is the speed of the stream if the boat can cover 80 km downstream or 40 km upstream in the same time?
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[Assistant] 10 kmph

[User]
after getting 2 successive discounts, a shirt with a list price of rs 150 is available at rs 105. if the second discount is 12.55, find the first discount.
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[Assistant] 20 %


[User]
the arithmetic mean and standard deviation of a certain normal distribution are 15 and 1.5, respectively. what value is exactly 2 standard deviations less than the mean?
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[Assistant] 12

[User]
in how many years will a sum of money doubles itself at 12 % per annum on simple interest?
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[Assistant] 8 %

[User]
20 % of a number is more than 20 % of 650 by 190. find the number?
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[Assistant] 1600

[User]
it will take 18 days for cameron to complete a certain task alone. he worked for 9 days before she was joined by sandra. both of them completed the remaining task in 3 and half days. how many days will it take both of them to complete the entire job?
Answer the question using a single word or phrase.

[Assistant] 7

[User]
if greg buys 5 shirts, 4 trousers and 2 ties, the total cost is $ 80. if greg buys 7 shirts, 4 trousers and 2 ties, the total cost is $ 70. how much will it cost him to buy 2 trousers, 3 shirts and 1 ties?
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[Assistant] $ 37.5


[User]
80 % of the population of a village is 32000. the total population of the village is?
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[Assistant] 40000

[User]
a number x is 4 times another number y. the percentage that y is less than x is
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[Assistant] 75 %

[User]
a trader has 1600 kg of sugar. he sells a part at 8 % profit and the rest at 12 % profit. if he gains 11 % on the whole, find the quantity sold at 12 %?
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[Assistant] 1200

[User]
john spent 40 percent of his earning last month on rent and 30 percent less than what he spent on rent to purchase a new dishwasher. what percent of last month's earning did john have left over?
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[Assistant] 32 %

[User]
10 women can complete a work in 7 days and 10 children take 14 days to complete the work. how many days will 5 women and 4 children take to complete the work?
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[Assistant] 10


[User]
lloyd normally works 7.5 hours per day and earns $ 4.50 per hour. for each hour he works in excess of 7.5 hours on a given day, he is paid 2.0 times his regular rate. if lloyd works 10.5 hours on a given day, how much does he earn for that day?
Answer the question using a single word or phrase.

[Assistant] $ 60.75

[User]
on a certain road, 20 % of the motorists exceed the posted speed limit and receive speeding tickets, but 20 % of the motorists who exceed the posted speed limit do not receive speeding tickets. what percent of the motorists on that road exceed the posted speed limit?
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[Assistant] 25 %

[User]
if the remainder is 16 when the integer n is divided by 30, what is the remainder when 2 n is divided by 15?
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[Assistant] 2

[User]
to apply for the position of photographer at a local magazine, a photographer needs to include 4 or 5 photos in an envelope accompanying the application. if the photographer has pre - selected 7 photos representative of her work, how many choices does she have to provide the photos for the magazine?
Answer the question using a single word or phrase.

[Assistant] 56

[User]
at 6 ′ o a clock ticks 6 times. the time between first and last ticks is 30 seconds. how long does it tick at 12 ′ o clock
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[Assistant] 66


[User]
john purchased some shirts and trousers for $ 1100. he paid $ 550 less for the shirts than he did for the trousers. if he bought 5 shirts and the cost of a shirt is $ 20 less than that of a trouser, how many trousers did he buy?
Answer the question using a single word or phrase.

[Assistant] 11

[User]
a case of 12 rolls of paper towels sells for $ 9. the cost of one roll sold individually is $ 1. what is the percent t of savings per roll for the 12 - roll package over the cost of 12 rolls purchased individually?
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[Assistant] 25 %

[User]
in a throw of a coin find the probability of getting a head?
Answer the question using a single word or phrase.

[Assistant] 1 / 2

[User]
a can do a piece of work in 15 days. a does the work for 5 days only and leaves the job. b does the remaining work in 12 days. in how many days b alone can do the work?
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[Assistant] 18 days

[User]
evaluate : 460 - 12 * 3 * 2 =?
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[Assistant] 452


[User]
in a km race, a beats bby 28 metres or 7 seconds. find a's timeoverthe course
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[Assistant] 4 min 3 sec

[User]
a thief is spotted by a policeman from a distance of 200 meters. when the policeman starts the chase, the thief also starts running. if the speed of the thief be 8 km / hr and that of the policeman 10 km / hr, how far the thief will have run before he is overtaken?
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[Assistant] 800 m

[User]
set x consists of 10 integers and has median of 30 and a range of 20. what is the value of the greatest possible integer that can be present in the set?
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[Assistant] 50

[User]
a cistern can be filled by a tap in 5 hours while it can be emptied by another tap in 9 hours. if both the taps are opened simultaneously, then after how much time will the cistern get filled?
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[Assistant] 11.25 hrs

[User]
find the sum lend at c. i. at 5 p. c per annum will amount to rs. 650 in 2 years?
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[Assistant] 589


[User]
there are 456 doctors and nurses in a hospital. if the ratio of the doctors to the nurses is 8 : 11, then how many nurses are there in the hospital?
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[Assistant] 264

[User]
find the simple interest on rs. 70,400 at 16 2 / 3 % per annum for 9 months.
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[Assistant] s. 8800

[User]
the true discount on a bill due 9 months hence at 16 % per annum is rs. 153. the amount of the bill is
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[Assistant] rs. 1275

[User]
a watch was sold at a loss of 10 %. if it was sold for rs. 140 more, there would have been a gain of 2 %. what is the cost price?
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[Assistant] s. 1166.7

[User]
in the junior basketball league there are 15 teams, 2 / 3 of them are bad and ½ are rich. what ca n't be the number of teams that are rich and bad?
Answer the question using a single word or phrase.

[Assistant] 9.


[User]
a movie buff buys movies on dvd and on blu - ray in a ratio of 17 : 4. if she returns 4 blu - ray movies, that ratio would change to 9 : 2. if she buys movies on no other medium, what was the original number of movies purchased?
Answer the question using a single word or phrase.

[Assistant] 378

[User]
in 1998 the profits of company n were 10 percent of revenues. in 1999, the revenues of company n fell by 20 percent, but profits were 15 percent of revenues. the profits in 1999 were what percent of the profits in 1998?
Answer the question using a single word or phrase.

[Assistant] 120 %

[User]
a cube has two of its faces painted half red and half white. the other faces are completely painted white. what is the ratio between the red painted areas and the white painted areas of the cube?
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[Assistant] 1 : 5

[User]
if athul rows 16 km upstream and 24 km down steam taking 4 hours each, then the speed of the stream
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[Assistant] 1 kmph

[User]
the average age of 30 students in a class is 5 years. if teacher's age is also included then average increases 1 year then find the teacher's age?
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[Assistant] 36


[User]
a car takes 4.5 hours to travel from a to b, which is 360 miles apart. what is the average speed of the car?
Answer the question using a single word or phrase.

[Assistant] 80

[User]
there are 20 balls which are red, blue or green. if 7 balls are green and the sum of red balls and green balls is less than 13, at most how many red balls are there?
Answer the question using a single word or phrase.

[Assistant] 5

[User]
an amount of rs. 100000 is invested in two types of shares. the first yields an interest of 9 % p. a and the second, 11 % p. a. if the total interest at the end of one year is 9 1 / 2 %, then the amount invested at 11 % was?
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[Assistant] 25000

[User]
at what price must an book costing $ 47.50 be marked in order that after deducting 8 % from the list price. it may be sold at a profit of 25 % on the cost price?
Answer the question using a single word or phrase.

[Assistant] 64.5

[User]
exactly 36 % of the numbers in set s are even multiples of 3. if 40 % of the even integers in set s are not multiples of 3, what percent of the numbers in set s are not even integers?
Answer the question using a single word or phrase.

[Assistant] 40 %


[User]
the average age of a group of 10 persons was decreased by 3 years when one person, whose age was 48 years, was replaced by a new person. find the age of the new person?
Answer the question using a single word or phrase.

[Assistant] 18

[User]
a glucose solution contains 10 grams of glucose per 100 cubic centimeters of solution. if 45 cubic centimeters of the solution were poured into an empty container, how many grams of glucose would be in the container?
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[Assistant] 4.50

[User]
find the two digit number, such that the ratio is 7 / 4 of original number to the number formed by reversing the digits.
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[Assistant] 21

[User]
the owner of a furniture shop charges his customer 10 % more than the cost price. if a customer paid rs. 7350 for a computer table, then what was the cost price of the computer table?
Answer the question using a single word or phrase.

[Assistant] rs. 6681

[User]
a can do a piece of work in 4 days. b can do it in 5 days. with the assistance of c they completed the work in 2 days. find in how many days can c alone do it?
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[Assistant] 20 days


[User]
what least no. must be subtracted from 10154 so that remaining no. is divisible by 30?
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[Assistant] 14

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

[User]
the present population of a town is 240. population increase rate is 10 % p. a. find the population of town after 1 years?
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[Assistant] 264

[User]
a batsman makes a score of 74 runs in the 17 th inning and thus increases his averages by 3. what is his average after 17 th inning?
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[Assistant] 26

[User]
a 5 - digit number divisible by 3 is to be formed using numerical 0, 1, 2, 3, 4 and 5 without repetition. the total number q of ways this can be done is :
Answer the question using a single word or phrase.

[Assistant] 216


[User]
the average height of 35 boys in a class was calculated as 180 cm. it has later found that the height of one of the boys in the class was wrongly written as 156 cm whereas his actual height was 106 cm. find the actual average height of the boys in the class ( round off your answer to two decimal places ).
Answer the question using a single word or phrase.

[Assistant] 178.58 cm

[User]
in a group of 100 cars, 37 cars do not have air conditioning. if at least 51 cars have racing stripes, what is the greatest number of cars that could have air conditioning but not racing stripes?
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[Assistant] 49

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

[User]
john purchased 1365 large bottles at $ 1.89 per bottle and 720 small bottles at $ 1.42 per bottle. what was the approximate average price paid per bottle?
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[Assistant] $ 1.73

[User]
a train 100 meters long completely crosses a 300 meters long bridge in 15 seconds. what is the speed of the train is?
Answer the question using a single word or phrase.

[Assistant] 96 kmph


[User]
( 500 + 200 + 100 ) ã — 4 ã — ( 3 + 4 ) =?
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[Assistant] 22400

[User]
jane makes toy bears. when she works with an assistant, she makes 80 percent more bears per week and works 10 percent fewer hours each week. having an assistant increases jane ’ s output of toy bears per hour by what percent e?
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[Assistant] 100 %

[User]
if the wheel is 10 cm then the number of revolutions to cover a distance of 1056 cm is?
Answer the question using a single word or phrase.

[Assistant] 16.8

[User]
the perimeter of a semi circle is 126 cm then the radius is?
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[Assistant] 24.5

[User]
two cyclist start from the same places in opposite directions. one is going towards north at 10 kmph and the other is going towards south 15 kmph. what time will they take to be 50 km apart?
Answer the question using a single word or phrase.

[Assistant] 2 hrs


[User]
r is the set of positive even integers less than 101, and s is the set of the squares of the integers in r. how many elements does the intersection of r and s contain?
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[Assistant] five

[User]
a fill pipe can fill 1 / 4 of cistern in 16 minutes in how many minutes, it can fill 3 / 4 of the cistern?
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[Assistant] 48 min

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

[User]
calculate the effect changes in dimension of a rectangle will have on its area, if length is increased by 35 % and its breadth is decreased by 21 %?
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[Assistant] 6.65 % increase

[User]
fox jeans regularly sell for $ 15 a pair and pony jeans regularly sell for $ 18 a pair. during a sale these regular unit prices are discounted at different rates so that a total of $ 3 is saved by purchasing 5 pairs of jeans : 3 pairs of fox jeans and 2 pairs of pony jeans. if the sum of the two discounts rates is 18 percent, what is the discount rate on pony jeans?
Answer the question using a single word or phrase.

[Assistant] 56.6 %


[User]
a and b began business with rs. 2000 and rs. 4000 after 8 months, a withdraws rs. 1000 and b advances rs. 1000 more. at the end of the year, their profits amounted to rs. 630 find the share of b.
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[Assistant] 455

[User]
if 70 % of a number exceeds 28 % of it by 39.9, then find the number?
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[Assistant] 95

[User]
40 onions on a scale weigh 7.68 kg. when 5 onions are removed from the scale, the average weight of the 35 onions is 190 grams. what is the average weight ( in grams ) of the 5 onions which were removed?
Answer the question using a single word or phrase.

[Assistant] 206

[User]
evaluate : 6402.5 + 640.25 + 64.025 + 6.4025 + 0.64025
Answer the question using a single word or phrase.

[Assistant] 7113.81775

[User]
mudit's age 16 years hence will be thrice his age 4 years ago. find mudit's present age?
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[Assistant] 14


[User]
the compound interest earned on a sum for the second and the third years are $ 1400 and $ 1540 respectively. what is the rate of interest?
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[Assistant] 10 %

[User]
on a certain planet where people usually tend to live for more than a century, the ratio of present ages of father and son is 7 : 4. 10 years later, the ratio of their ages will be 5 : 3. what is the sum of their present ages?
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[Assistant] 220

[User]
a certain candy manufacturer reduced the weight of candy bar m by 40 percent buy left the price unchanged. what was the resulting percent increase in the price per ounce of candy bar m?
Answer the question using a single word or phrase.

[Assistant] 66.66

[User]
weights of two friends ram and shyam are in the ratio 1 : 5. if ram's weight is increased by 10 % and total weight of ram and shyam become 82.8 kg, with an increases of 15 %. by what percent did the weight of shyam has to be increased?
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[Assistant] 16 %

[User]
the average of first 20 prime numbers is?
Answer the question using a single word or phrase.

[Assistant] 9.6


[User]
what is the value of x ^ 2 yz − xyz ^ 2, if x = − 2, y = 1, and z = 4?
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[Assistant] 48

[User]
a train of 35 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. in what time will the train cross a bridge 1.5 km long?
Answer the question using a single word or phrase.

[Assistant] 3.6

[User]
on july 1 of last year, total employees at company e was decreased by 10 percent. without any change in the salaries of the remaining employees, the average ( arithmetic mean ) employee salary was 10 percent more after the decrease in the number of employees than before the decrease. the total of the combined salaries of all the employees at company e after july 1 last year was what percent q of thatbeforejuly 1 last year?
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[Assistant] 99 %

[User]
the difference of two numbers is 11 and one - fifth of their sum is 9. find the numbers
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[Assistant] 28,17

[User]
a man spend 1 / 5 of his salary on food, 1 / 10 of his salary on house rent and 3 / 5 salary on clothes. he still has $ 18000 left with him. find salary..
Answer the question using a single word or phrase.

[Assistant] $ 180000


[User]
bert left the house with n dollars. he spent 1 / 4 of this at the hardware store, then $ 9 at the dry cleaners, and then half of what was left at the grocery store. when he got home, he had $ 12 left in his pocket. what was the value of n?
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[Assistant] $ 44

[User]
if the wheel is 14 cm then the number of revolutions to cover a distance of 3520 cm is?
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[Assistant] 40

[User]
what will be the compound interest on a sum of rs. 15000 after 3 years at the rate of 12 % p. a.?
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[Assistant] s. 6073.92

[User]
if 13 = 13 w / ( 1 - w ), then ( w ) 2 =
Answer the question using a single word or phrase.

[Assistant] 1

[User]
on dividing 15968 by a certain number, the quotient is 89 and the remainder is 37. find the divisor.
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[Assistant] 179


[User]
58, 52, 46, 40, 34,...?
Answer the question using a single word or phrase.

[Assistant] 28

[User]
if a coin is flipped, the probability that the coin will land tails is 1 / 2. if the coin is flipped 4 times, what is the probability that it will land tails up on the first 2 flips and not on the last 2 flips?
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[Assistant] 1 / 16

[User]
if rs. 460 amount to rs. 540 in 4 years, what will it amount to in 6 years at the same rate % per annum?
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[Assistant] rs. 580

[User]
a train passes a station platform in 50 sec and a man standing on the platform in 15 sec. if the speed of the train is 54 km / hr. what is the length of the platform?
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[Assistant] 525

[User]
a trained covered x km at 70 kmph and another 2 x km at 20 kmph. find the average speed of the train in covering the entire 3 x km.
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[Assistant] 26.25


[User]
a hall is 15 m long and 12 m broad. if the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is :
Answer the question using a single word or phrase.

[Assistant] 1200

[User]
a salesman sold twice as much pears in the afternoon than in the morning. if he sold $ 420 kilograms of pears that day, how many kilograms did he sell in the afternoon?
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[Assistant] 280

[User]
the length of a room is 5.5 m and width is 3.75 m. find the cost of paving the floor by slabs at the rate of rs. 1000 per sq. metre.
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[Assistant] rs. 20625

[User]
the probability that a can solve the problem is 2 / 3 and b can solve it is 3 / 4. if both of them attemp the problem, then what is the probability that the problem get solved?
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[Assistant] 11 / 12

[User]
a and b finish the job in 15 days. while a, b and c can finish it in 11 days. c alone will finish the job in
Answer the question using a single word or phrase.

[Assistant] 41.25 days


[User]
on a map, 1 inch represents 28 miles. how many x xxinches would be necessary to represent a distance of 383.6 miles?
Answer the question using a single word or phrase.

[Assistant] 13.7

[User]
tim has 13 10 - dollar bills, 11 5 - dollar bills, and 17 one - dollar bills. if tim needs to pay exactly $ 128, what is the least number of bills he will need to use?
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[Assistant] 16

[User]
if in a race of 130 m, a covers the distance in 20 seconds and b in 25 seconds, then a beats b by :
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[Assistant] 26 m

[User]
the average of 10 consecutive integers is 25. then, 9 is deducted from the first consecutive number, 8 is deducted from the second, 7 is deducted form the third, and so on until the last number which remains unchanged. what is the new average?
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[Assistant] 20.5

[User]
if 0.75 : x : : 5 : 11, then x is equal to :
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[Assistant] 1.65


[User]
an empty fuel tank is filled with brand z gasoline. when the tank is 3 / 4 empty, it is filled with brand x gasoline. when the tank is half empty again, it is filled with brand z gasoline. when the tank is half empty again, it is filled with brand x gasoline. at this time, what percent of the gasoline in the tank is brand z?
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[Assistant] 43.75 %

[User]
there are 9 teams in a certain league and each team plays each of the other teams exactly once. what is the total number of games played?
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[Assistant] 36

[User]
what is the value of â ˆ š 25 %?
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[Assistant] 50 %

[User]
in how many years rs 160 will produce the same interest at 8 % as rs. 500 produce in 4 years at 8 %
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[Assistant] 12.5

[User]
of 15 applicants for a job, 7 had at least 4 years'experience, 9 had degrees, and 1 had less than 4 years'experience and did not have a degree. how many of the applicants had at least 4 years'experience and a degree?
Answer the question using a single word or phrase.

[Assistant] 2


[User]
simple interest on a certain sum of money for 5 years at 8 % per annum is half the compound interest on rs. 8000 for 2 years at 15 % per annum. the sum placed on simple interest is
Answer the question using a single word or phrase.

[Assistant] rs. 3225

[User]
for each color copy, print shop x charges $ 1.25 and print shop y charges $ 2.75. how much greater is the charge for 80 color copies at print shop y than at print shop x?
Answer the question using a single word or phrase.

[Assistant] $ 120

[User]
in the xy - plane, a triangle has vertices ( 0,0 ), ( 4,0 ) and ( 4,8 ). if a point ( a, b ) is selected at random from the triangular region, what is the probability that a - b > 0?
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[Assistant] 1 / 2

[User]
the speed of a boat in still water is 15 km / hr and the rate of current is 3 km / hr the distance travelled downstream in 12 minutes is :
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[Assistant] 3.6 km

[User]
bob is attempting to feed his pets. he feeds his pets as follows : - no dog receives more food than any other dog - no cat receives any less food than any other cat - the cats, as a group, receive exactly as much food as a single dog if bob has 7 dogs and 4 cats, approximately what percentage of the food bag does a cat receive?
Answer the question using a single word or phrase.

[Assistant] 3.1 %


[User]
in the xy - coordinate plane, the graph of y = - x ^ 2 + 9 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] 1

[User]
what is the least number of square tiles required to pave the floor of a room 11 m 50 cm long and 1 m 50 cm broad?
Answer the question using a single word or phrase.

[Assistant] 69

[User]
in a cricket match, 5 batsmen a, b, c, d and e scored an average of 36 runs. d scored 5 more than e ; e scored 8 fewer than a ; b scored as many as d and e combined ; and b and c scored 107 between them. how many runs did e score?
Answer the question using a single word or phrase.

[Assistant] 20

[User]
a property decreases in value every year at the rate of 6 1 / 4 % of its value at the beginning of the year its value at the end of 3 years was rs. 21093. find its value at the beginning of the first year?
Answer the question using a single word or phrase.

[Assistant] 25600.24

[User]
the speed at which a man can row a boat in still water is 24 kmph. if he rows downstream, where the speed of current is 8 kmph, what time will he take to cover 40 metres?
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[Assistant] 4.49 seconds


[User]
a manufacturing company has 15 % cobalt, 25 % led and 60 % of copper. if 5 kg of led is used in a mixture how much copper we need to use
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[Assistant] 12 kg

[User]
in a simultaneous throw of pair of dice. find the probability of getting the total more than 7?
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[Assistant] 5 / 12

[User]
the smallest number which when diminished by 15, is divisible 10, 15, 25, 30 and 35 is :
Answer the question using a single word or phrase.

[Assistant] 1055

[User]
the length of the longest tape in cm which can be used to measure exactly, the length 7 m ; 3 m 85 cm ; and 12 m 95 cm is :
Answer the question using a single word or phrase.

[Assistant] 35

[User]
two pipes can fill a tank in 12 minutes and 15 minutes. an outlet pipe can empty the tank in 10 minutes. if all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
Answer the question using a single word or phrase.

[Assistant] 20


[User]
an article with cost price of 192 is sold at 25 % profit. what is the selling price?
Answer the question using a single word or phrase.

[Assistant] 240

[User]
two pipes a and b can fill a tank in 50 hour and 75 hours respectively. if both the pipes are opened simultaneously, how much time will be taken to fill the tank?
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[Assistant] 30 hrs

[User]
how many integers from 0 to 50 inclusive have a remainder of 3 when divided by 7?
Answer the question using a single word or phrase.

[Assistant] 7

[User]
addison high school ’ s senior class has 160 boys and 200 girls. if 75 % of the boys attended the college and 40 % of the girls did not attend the college, what percentage of the total class attended college?
Answer the question using a single word or phrase.

[Assistant] 66.67

[User]
if x dollars is invested at 10 percent for one year and y dollars is invested at 8 percent for one year, the annual income from the 10 percent investment will exceed the annual income from the 8 percent investment by $ 92. if $ 2,000 is the total amount invested, how much is invested at 8 percent?
Answer the question using a single word or phrase.

[Assistant] $ 600


[User]
there is a 30 % increase in the price of an article in the first year, a 20 % decrease in the second year and a 10 % increase in the next year. if the final price of the article is rs. 3432, then what was the price of the article initially?
Answer the question using a single word or phrase.

[Assistant] rs. 3000

[User]
the balance of a trader weighs 10 % less than it should. still the trader marks up his goods to get an overall profit of 40 %. what is the mark up on the cost price?
Answer the question using a single word or phrase.

[Assistant] 26 %

[User]
jaclyn buys $ 60 000 worth of debentures in a company. she earns 9.5 % p. a. simple interest, paid to her quarterly ( that is, every 3 months ). if the agreed period of the debenture was 18 months : calculate the amount of interest jaclyn will earn for each quarter
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[Assistant] 1425

[User]
in the land of oz only one or two - letter words are used. the local language has 69 different letters. the parliament decided to forbid the use of the seventh letter. how many words have the people of oz lost because of the prohibition?
Answer the question using a single word or phrase.

[Assistant] 138

[User]
a candidate got 35 % of the votes and lost to the rival by 2400 votes. how many votes were cast?
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[Assistant] 8000


[User]
a bag contains 9 green and 8 white balls. if two balls are drawn simultaneously, the probability that both are of the same colour is
Answer the question using a single word or phrase.

[Assistant] 8 / 17

[User]
speed of a boat in standing water is 8 kmph and speed of the stream is 0.5 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?
Answer the question using a single word or phrase.

[Assistant] 26.35 hours

[User]
a, b and c started a business with a total investment of rs. 90000. a invests rs. 6000 more than b and b invests rs. 3000 less than c. if the total profit at the end of a year is rs. 8640, find a's share.
Answer the question using a single word or phrase.

[Assistant] rs. 3168

[User]
on a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. on the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. on both days, all the orangeade that was made was sold. if the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $ 0.40 per glass on the first day, what was the price per glass on the second day?
Answer the question using a single word or phrase.

[Assistant] $ 0.26

[User]
a number when divided by 6 leaves a remainder 3. when the square of the same number is divided by 6, the remainder is
Answer the question using a single word or phrase.

[Assistant] 3


[User]
the contents of a certain box consist of 40 apples and 30 oranges. how many oranges must be added to the box so that exactly 40 % of the pieces of fruit in the box will be apples?
Answer the question using a single word or phrase.

[Assistant] 30

[User]
two numbers are in the ratio 5 : 8 and thier h. c. f is 4. find the numbers.
Answer the question using a single word or phrase.

[Assistant] 20 and 32

[User]
a's speed is 20 / 13 times that of b. if a and b run a race, what part of the length of the race should a give b as a head start, so that b beats a by 60 % of the length of the race?
Answer the question using a single word or phrase.

[Assistant] 74 %

[User]
a contract is to be completed in 46 days sad 117 men were said to work 8 hours a day. after 33 days, ( 4 / 7 ) of the work is completed. how many additional men may be employed so that the work may be completed in time, each man now working 9 hours a day?
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[Assistant] 81

[User]
a person borrows 1000000 for 7 years at 3 % p. a. simple interest. he immediately lends it to another person at 5 % p. a. for 7 years. find his gain in the transaction per year.
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[Assistant] 20000


[User]
12 : 21 : : 31 :?
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[Assistant] 13

[User]
if ( n + 2 )! / n! = 72, n =?
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[Assistant] 7

[User]
a room 5 m 55 cm long and 3 m 74 cm broad is to be paved with square tiles. find the least number of square tiles required to cover the floor
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[Assistant] 176

[User]
the ages of two persons differ by 16 years. if 6 years agao, the elder one be 3 times as old as the younger one, find their present ages.
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[Assistant] 30 years.

[User]
working at a constant rate, p can finish a job in 4 hours. q, also working at a constant rate, can finish the same job in 15 hours. if they work together for 3 hours, how many more minutes will it take p to finish the job, working alone at his constant rate?
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[Assistant] 12


[User]
the difference between the place value and the face value of 8 in the numeral 856973 is
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[Assistant] none of these

[User]
the average speed of a car is 1 4 / 5 times the avg speed of a bike. a tractor covers 575 km in 23 hrs. how much distance will the car cover in 6 hrs if the speed of the bike is twice speed of the tractor?
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[Assistant] 540 km

[User]
33 men can complete a piece of work in 18 days. in how many days will 27 men complete the same work?
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[Assistant] 22

[User]
john makes $ 65 a week from his job. he earns a raise andnow makes $ 70 a week. what is the % increase?
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[Assistant] 7.69 %

[User]
an error 38 % in excess is made while measuring the side of a square. now what is the percentage of error in the calculated area of the square?
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[Assistant] 90.44 %


[User]
what is the unit ’ s digit of 7 ^ 5
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[Assistant] 7

[User]
if y is the smallest positive integer such that 8820 multiplied by y is the square of an integer, then y must be
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[Assistant] 5

[User]
if 20 typists can type 60 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] 270

[User]
a batsman makes a score of 85 runs in the 17 th inning and thus increases his averages by 3. find his average after 17 th inning?
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[Assistant] 37

[User]
of the families in city x in 1998, 20 percent owned a personal computer. the number of families in city x owning a computer in 2002 was 40 percent greater than it was in 1998, and the total number of families in city x was 8 percent greater in 2002 than it was in 1998. what percent of the families in city x owned a personal computer in 2002?
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[Assistant] 25.92 %


[User]
three unbiased coins are tossed. what is the probability of getting 3 heads?
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[Assistant] 1 / 8

[User]
three numbers are in the ratio of 2 : 3 : 4 and their l. c. m. is 240. their h. c. f. is :
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[Assistant] 20

[User]
if the radius of a circle is increased by 10 % then the area is increased by :
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[Assistant] 21 %

[User]
217 x 217 + 183 x 183 =?
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[Assistant] 80578

[User]
kim has 6 pairs of shoes ; each pair is a different color. if kim randomly selects 2 shoes without replacement from the 12 shoes, what is the probability that she will select 2 shoes of the same color?
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[Assistant] 1 / 11


[User]
in a kilometer race, a beats b by 40 meters or 10 seconds. what time does a take to complete the race?
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[Assistant] 240 sec

[User]
a crow leaves its nest, and flies back and forth from its nest to a nearby ditch to gather worms. the distance between the nest and the ditch is 100 meters. in one and a half hours, the crow manages to bring worms to its nest 15 times. what is the speed of the crow in kilometers per hour?
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[Assistant] 5

[User]
s is a set of 100 consecutive multiples of 8. if the smallest number in s is 108, then the greatest number in s is
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[Assistant] 900

[User]
the batting average of a particular batsman is 62 runs in 46 innings. if the difference in his highest and lowest score is 150 runs and his average excluding these two innings is 58 runs, find his highest score.
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[Assistant] 225

[User]
what is the greatest value of positive integer x such that 2 ^ x is a factor of 100 ^ 50?
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[Assistant] 100


[User]
a towel, when bleached, lost 10 % of its length and 20 % of its breadth. what is the percentage decrease in area?
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[Assistant] 28 %

[User]
if 5 ^ 5 × 5 ^ 7 = ( 5 ^ 4 ) ^ x, then what is the value of x?
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[Assistant] 3

[User]
in a group of cows and hens, the number of legs are 16 more than twice the number of heads. the number of cows is
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[Assistant] 8

[User]
on rainy mornings, mo drinks exactly n cups of hot chocolate ( assume that n is an integer ). on mornings that are not rainy, mo drinks exactly 2 cups of tea. last week mo drank a total of 16 cups of tea and hot chocolate together. if during that week mo drank 4 more tea cups than hot chocolate cups, then how many rainy days were there last week?
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[Assistant] 2

[User]
if the price of a tv is first decreased by 20 % and then increased by 30 %, then the net change in the price will be :
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[Assistant] 4 % increase


[User]
equal amount of water were poured into two empty jars of different capacities, which made one jar 1 / 5 full and other jar 1 / 4 full. if the water in the jar with lesser capacity is then poured into the jar with greater capacity, what fraction of the larger jar will be filled with water?
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[Assistant] 2 / 5

[User]
if the average ( arithmetic mean ) of x + 3, x + 4, and x + 5 is 0, then x =
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[Assistant] – 4

[User]
dan can do a job alone in 15 hours. annie, working alone, can do the same job in just 10 hours. if dan works alone for 6 hours and then stops, how many hours will it take annie, working alone, to complete the job?
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[Assistant] 6

[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 20 % water?
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[Assistant] 1.6 kg

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


[User]
find the area of a cuboid of length 8 cm, breadth 10 cm. and height 12 cm.
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[Assistant] 960 cm cube

[User]
if a car went the first third of the distance at 60 kmh, the second third at 24 kmh, and the last third at 48 kmh, what was the average speed of the car for the entire trip?
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[Assistant] 38 kmh

[User]
a reduction of 10 % in the price of oil enables a house wife to obtain 6 kgs more for rs. 900, what is the reduced price for kg?
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[Assistant] 15

[User]
the triplicate ratio of 3 : 5 is?
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[Assistant] 27 : 125

[User]
a, b and c are partners. a receives 2 / 3 of profits, b and c dividing the remainder equally. a's income is increased by rs. 200 when the rate to profit rises from 5 to 7 percent. find the capital of a?
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[Assistant] 10000


[User]
find out the square of a number which when doubled exceeds its quarter by 7?
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[Assistant] 16

[User]
a sports equipment store sold ping pong rackets for a total of $ 490. if the average ( arithmetic mean ) price of a pair of rackets is $ 9.8, how many pairs were sold?
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[Assistant] 50

[User]
a little girl went to the farm to buy fruits. she bought a bag of apples and grabbed a bag of oranges which was 5 times as heavy as the apples. she brought home a total of 12 pounds of fruits. how many pounds was the oranges?
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[Assistant] 10

[User]
a batsman scored 120 runs which included 3 boundaries and 8 sixes. what percent of his total score did he make by running between the wickets.
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[Assistant] 50 %

[User]
if 7 < x < 9 < y < 15, then what is the greatest possible positive integer difference of x and y?
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[Assistant] 7


[User]
a man performs 1 / 2 of the total journey by rail, 1 / 3 by bus and the remaining 5 km on foot. his total journey is
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[Assistant] 30 km

[User]
the sum of two consecutive even integers is 26. what are the two numbers?
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[Assistant] 12 - 14

[User]
total 75 cows 25 cow gives each 2 liter milk 25 cow gives each 3 / 4 liter milk 25 cow gives each 1 / 4 liter milk this is split into 3 son per each 25 cows & 25 liter milk how?
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[Assistant] 25

[User]
two trains 210 m and 260 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] 16.92 sec

[User]
a certain sum is invested at simple interest at 15 % p. a. for two years instead of investing at 12 % p. a. for the same time period. therefore the interest received is more by rs. 900. find the sum?
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[Assistant] s. 15000