[User]
what is the 8 th digit to the right of the decimal point in the decimal equivalent of 73 / 11?
Answer the question using a single word or phrase.

[Assistant] 3

[User]
if rs. 510 be divided among a, b, c in such a way that a gets 2 / 3 of what b gets and b gets 1 / 4 of what c gets, then their shares are respectively?
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[Assistant] rs. 360

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

[User]
if ( 18 ^ a ) * 9 ^ ( 3 a – 1 ) = ( 2 ^ 6 ) ( 3 ^ b ) and a and b are positive integers, what is the value of a?
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[Assistant] 6

[User]
there are 8 teams in a certain league and each team plays each of the other teams exactly twice. if each game is played by 2 teams, what is the total number of games played?
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[Assistant] 56


[User]
a shopkeeper buys mangoes at the rate of 4 a rupee and sells them at 3.5 a rupee. find his net profit or loss percent?
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[Assistant] 14.28 %

[User]
solution a is made up of alcohol and water mixed in the ratio of 21 : 4 by volume ; solution b is made up of alcohol and water mixed in the ratio of 2 : 3 by volume. if solution a and solution b are mixed in the ratio of 5 : 6 by volume, what percent of the resultant mixture is alcohol?
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[Assistant] 60 %

[User]
at veridux corporation, there are 180 employees. of these, 90 are female, and the rest are males. there are a total of 40 managers, and the rest of the employees are associates. if there are a total of 135 male associates, how many female managers are there?
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[Assistant] 85

[User]
keats library purchases a number of new books, all in the category of biography, and the library does not acquire any other books. with the addition of the new biographies, the biography collection of the library amounts to 55 % of the total number of books in the library. if prior to the purchase, only 20 % of the books in keats library were biographies, by what percent has the number of biographies in the library increased?
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[Assistant] 390 %

[User]
after decreasing 24 % in the price of an article costs rs. 836. find the actual cost of an article?
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[Assistant] 1100


[User]
two isosceles triangles have equal vertical angles and their areas are in the ratio 16 : 36. find the ratio of their corresponding heights.
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[Assistant] 4 / 6

[User]
in a weight - lifting competition, the total weight of joe's two lifts was 1500 pounds. if twice the weight of his first lift was 300 pounds more than the weight of his second lift, what was the weight, in pounds, of his first lift?
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[Assistant] 600

[User]
the cash realised on selling a 14 % stock is rs. 109.25, brokerage being 1 / 4 % is
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[Assistant] 109

[User]
if 47.5 % of the 880 students at a certain college are enrolled in biology classes, how many students at the college are not enrolled in a biology class?
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[Assistant] 462

[User]
two ships are sailing in the sea on the two sides of a lighthouse. the angle of elevation of the top of the lighthouse is observed from the ships are 30 ° and 45 ° respectively. if the lighthouse is 100 m high, the distance between the two ships is :
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[Assistant] 273 m


[User]
what is the 4 digit no. in which the 1 st digit is 1 / 3 of the second, the 3 rd is the sum of the 1 st and 2 nd, and the last is 3 times the second?
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[Assistant] 1349

[User]
what number is 76 more than one - fourth of itself?
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[Assistant] 101

[User]
a certain shade of gray paint is obtained by mixing 3 parts of white paint with 5 parts of black paint. if 2 gallons of the mixture is needed and the individual colors can be purchased only in one gallon or half gallon cans, what is the least amount of paint w, in gallons, that must be purchased in order to measure out the portions needed for the mixture?
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[Assistant] 2 1 / 2

[User]
someone on a skateboard is traveling 15 miles per hour. how many feet does she travel in 30 seconds? ( 1 mile = 5280 feet )
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[Assistant] 660 ft

[User]
a company produces 72000 bottles of water everyday. if a case can hold 10 bottles of water. how many cases are required by the company to hold its one day production
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[Assistant] 7200


[User]
the sum of 99 consecutive integers is 9999. what is the greatest integer in the set?
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[Assistant] 150

[User]
a train of 24 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 3.5 km long?
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[Assistant] 5

[User]
the tax on a commodity is diminished by 20 % and its consumption increased by 15 %. the effect on revenue is?
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[Assistant] 8 % decrease

[User]
the length of a rectangular floor is more than its breadth by 200 %. if rs. 484 is required to paint the floor at the rate of rs. 3 / sq m, what would be the length of the floor?
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[Assistant] 22

[User]
a train running at the speed of 50 km / hr crosses a pole in 9 seconds. find the length of the train?
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[Assistant] 125


[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 # 33?
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[Assistant] 14

[User]
after decreasing 20 % in the price of an article costs rs. 620. find the actual cost of an article?
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[Assistant] 775

[User]
90 % of the population of a village is 23040. the total population of the village is?
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[Assistant] 25600

[User]
if y is the smallest positive integer such that 8,820 multiplied by y is the square of an integer, then y must be
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[Assistant] 5

[User]
a train 100 m long crosses a platform 125 m long in 40 sec ; find the speed of the train?
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[Assistant] 20.25


[User]
a group of men decided to do a work in 15 days, but 8 of them became absent. if the rest of the group did the work in 18 days, find the original number of men?
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[Assistant] 48

[User]
x, y, and z are all unique numbers. if x is chosen randomly from the set { 5, 6, 7, 8, 9, 10, 11 } and y and z are chosen randomly from the set { 20, 21, 22, 23 }, what is the probability that x and y are prime and z is not?
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[Assistant] 3 / 28

[User]
a and b can do a piece of work in 2 days, b and c in 3 days, c and a in 4 days. how long will c take to do it?
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[Assistant] 24 days

[User]
a tourist does not have to pay tax on the first $ 600 of goods he purchases in country b, but does have to pay a 12 percent tax on the portion of the total value that is in excess of $ 600. what tax must be paid by a tourist if he buys goods with a total value of $ 1720?
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[Assistant] $ 134.40

[User]
the area of one square is x ^ 2 + 10 x + 25 and the area of another square is 4 x ^ 2 − 20 x + 25. if the sum of the perimeters of both squares is 36, what is the value of x?
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[Assistant] 3


[User]
when magnified 1000 times by an electron microscope, the image of a certain circular piece of tissue has a diameter of 0.3 centimeter. the actual diameter of the tissue, in centimeters, is
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[Assistant] 0.0003

[User]
a group of n students can be divided into equal groups of 4 with 3 student left over or equal groups of 5 with 3 students left over. what is the sum of the two smallest possible values of n?
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[Assistant] 66

[User]
a 600 meter long train crosses a signal post in 40 seconds. how long will it take to cross a 9 kilometer long bridge, at the same speed?
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[Assistant] 10 min

[User]
q - 1 : how many two digit numbers of distinct digits can be formed by using digits 1, 2, 3, 4, 5, 6 and 7 such that the numbers are divisible by 5?
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[Assistant] 6

[User]
a car travels at a speed of 65 miles per hour. how far will it travel in 9 hours?
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[Assistant] 585 miles


[User]
how many of the integers between 45 and 105 are even?
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[Assistant] 30

[User]
yearly subscription to professional magazines cost a company $ 940.00. to make a 50 % cut in the magazine budget, how much less must be spent?
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[Assistant] 470

[User]
price of a book increases 15 % successively ( 2 times ) what is the new price of the book more compared to that of the old price :
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[Assistant] 32.25 %

[User]
there are 7 fictions and 6 non - fictions. how many cases are there such that 2 fictions and 2 non - fictions are selected from them?
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[Assistant] 315

[User]
andrew purchased 6 kg of grapes at the rate of 74 per kg and 9 kg of mangoes at the rate of 59 per kg. how much amount did he pay to the shopkeeper?
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[Assistant] 975


[User]
the ratio of the incomes of uma and bala is 4 : 3 and the ratio of their expenditure is 3 : 2. if at the end of the year, each saves $ 5000 then the income of uma is?
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[Assistant] $ 20000

[User]
3 / 4 of 1 / 2 of 2 / 5 of 5040 =?
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[Assistant] 756

[User]
there are 17 stations between hyderabad and bangalore. how many second class tickets have to be printed, so that a passenger can travel from any station to any other station?
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[Assistant] 342

[User]
there are 18 stations between ernakulam and chennai. how many second class tickets have to be printed, so that a passenger can travel from one station to any other station?
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[Assistant] 380

[User]
tickets numbered 1 to 30 are mixed up and then a ticket is drawn at random. what is the probability that the ticket drawn has a number which is a multiple of 3 or 5?
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[Assistant] 7 / 15


[User]
a 160 meter long train crosses a man standing on the platform in 6 sec. what is the speed of the train?
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[Assistant] 96 kmph

[User]
an alloy of copper and zinc contains copper and zinc in the ratio 6 : 4. another alloy of copper and zinc contains copper and zinc in the ratio 3 : 7. 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]
a tank contains 7,500 gallons of a solution that is 6 percent sodium chloride by volume. if 2,000 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride?
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[Assistant] 8.18 %

[User]
the average of 10 numbers is 40.2. later it is found that two numbers have been wrongly copied. the first is 16 greater than the actual number and the second number added is 13 instead of 31. find the correct average.
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[Assistant] 40.4

[User]
rs. 705 is divided amongst a, b, c so that 3 times a's share, 5 times b's share and 4 times c's share are all equal. find b's share?
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[Assistant] 180


[User]
the sale price sarees listed for rs. 175 after successive discount is 20 % and 5 % is?
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[Assistant] 133

[User]
solve x 2 – 3 x – 4 = 0.
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[Assistant] - 1,4

[User]
a money lender finds that due to a fall in the annual rate of interest from 8 % to 7 2 / 5 % his yearly income diminishes by rs. 61.50. his capital is
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[Assistant] 102.5

[User]
a sum of money lent at compound interest for 2 years at 20 % per annum would fetch rs. 482 more, if the interest was payable half yearly than if it was payable annually. the sum is
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[Assistant] 20000

[User]
a monkey start climbing up a tree 20 ft tall. each hour it hops 3 ft and slips back 2 ft. how much time would it take the monkey to reach the top.
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[Assistant] 18 hrs


[User]
1 / 0.06 is equal to
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[Assistant] 16.7

[User]
rs 3600 is divided into two parts such that one part is put out at 3 % and the other at 5 %. if the annual interest earned from both the investments be rs 144, find the first part.
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[Assistant] s 1800

[User]
without stoppages, a train travels certain distance with an average speed of 200 km / h, and with stoppages, it covers the same distance with an average speed of 160 km / h. how many minutes per hour the train stops?
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[Assistant] 12

[User]
in a fuel station the service costs $ 1.75 per car, every liter of fuel costs 0.65 $. assuming that a company owns 12 cars and that every fuel tank contains 56 liters and they are all empty, how much money total will it cost to fuel all cars?
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[Assistant] 457.8 $

[User]
the price of an item is discounted 2 percent on day 1 of a sale. on day 2, the item is discounted another 12 percent, and on day 3, it is discounted an additional 25 percent. the price of the item on day 3 is what percentage of the sale price on day 1?
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[Assistant] 66 %


[User]
find the smallest number of four digits exactly divisible by 4, 5,7 and 8.
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[Assistant] 1160

[User]
a sum fetched a total simple interest of rs. 2700 at the rate of 6 p. c. p. a. in 3 years. what is the sum?
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[Assistant] 15000

[User]
if 20 men can build a water fountain 56 metres long in 21 days, what length of a similar water fountain can be built by 35 men in 3 days?
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[Assistant] 14 m

[User]
a circular garden is surrounded by a fence of negligible width along the boundary. if the length of the fence is 1 / 5 of th area of the garden. what is the radius of the circular garden?
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[Assistant] 10

[User]
the average of 1 st 3 of 4 numbers is 6 and of the last 3 are 3. if the sum of the first and the last number is 13. what is the last numbers?
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[Assistant] 2


[User]
a classroom has equal number of boys and girls. 8 girls left to play kho - kho, leaving twice as many boys as girls in the classroom. what was the total number of girls and boys present initially?
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[Assistant] 32

[User]
a person's present age is two - fifth of the age of his mother. after 8 years, he will be one - half of the age of his mother. what is the present age of the mother?
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[Assistant] 40

[User]
a perfect square is defined as the square of an integer and a perfect cube is defined as the cube of an integer. how many positive integers n are there such that n is less than 1,000 and at the same time n is a perfect square and a perfect cube?
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[Assistant] 3

[User]
the speed of a boat in still water is 50 kmph and the speed of the current is 20 kmph. find the speed and upstream?
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[Assistant] 30 kmph

[User]
if 5 x = 6 y and xy ≠ 0, what is the ratio of 1 / 5 * x to 1 / 8 * y?
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[Assistant] 48 / 25


[User]
a bag contains 12 red marbles. if someone were to remove 2 marbles from the bag, one at a time, and replace the first marble after it was removed, the probability that neither marble would be red is 9 / 16. how many marbles are in the bag?
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[Assistant] 48

[User]
the average marks of a class of 26 students is 40 and that of another class of 50 students is 60. find the average marks of all the students?
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[Assistant] 53.1

[User]
a train 125 m long passes a man, running at 6 km / hr in the same direction in which the train is going, in 10 seconds. the speed of the train is?
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[Assistant] 51

[User]
tom and john traveled in the same direction along the equal route at their constant speed rates of 15 km per hour and 10 km per hour, respectively. after 15 minutes tom passed john, tom reaches a certain gas station, how many l minutes it takes john to reach the station?
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[Assistant] 7 and 1 / 2 min

[User]
pipe a can fill a tank in 8 hours. due to a leak at the bottom, it takes 12 hours for the pipe a to fill the tank. in what time can the leak alone empty the full tank?
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[Assistant] 24


[User]
three 8 faced dice are thrown together. the probability that all the three show the same number on them is?
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[Assistant] 1 / 64

[User]
an escalator is descending at constant speed. a walks down and takes 50 steps to reach the bottom. b runs down and takes 90 steps in the same time as a takes 10 steps. how many steps are visible when the escalator is not operating?
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[Assistant] 100

[User]
how many kg of sugar must be added to 30 kg of 2 % solution of sugar and water to increase it to a 10 % solution?
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[Assistant] 2.6 kg

[User]
each of the integers from 1 to 18 is written on the a seperate index card and placed in a box. if the cards are drawn from the box at random without replecement, how many cards must be drawn to ensure that the product of all the integers drawn is even
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[Assistant] 10

[User]
suppose f ( x ) is an odd function for which f ( x + 2 ) = f ( x ) for all x, and f ( x ) = x 2 for x 2 ( 0, 1 ). compute f ( - 3 / 2 ) + f ( 1 ).
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[Assistant] 1 / 4


[User]
a lent rs. 5000 to b for 2 years and rs. 3000 to c for 4 years on simple interest at the same rate of interest and received rs. 1980 in all from both of them as interest. the rate of interest per annum is?
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[Assistant] 9 %

[User]
sari and ken climb up a mountain. at night, they camp together. on the day they are supposed to reach the summit, sari wakes up at 06 : 00 and starts climbing at a constant pace. ken starts climbing only at 08 : 00, when sari is already 600 meters ahead of him. nevertheless, ken climbs at a constant pace of 500 meters per hour, and reaches the summit before sari. if sari is 50 meters behind ken when he reaches the summit, at what time did ken reach the summit?
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[Assistant] 11 : 15

[User]
if x > 0, x / 50 + x / 5 is what percent of x?
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[Assistant] 25 %

[User]
in what time will a railway train 60 m long moving at the rate of 72 kmph pass a telegraph post on its way?
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[Assistant] 3 sec

[User]
a can do a piece of work in 18 days and b alone can do it in 10 days. b works at it for 5 days and then leaves. a alone can finish the remaining work in
Answer the question using a single word or phrase.

[Assistant] 9 days


[User]
x starts a business with rs. 45000. y joins in the business after 3 months with rs. 36000. what will be the ratio in which they should share the profit at the end of the year?
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[Assistant] 20 : 9

[User]
a car travels first 160 km at 75 km / hr and the next 160 km at 80 km / hr. what is the average speed for the first 320 km of the tour?
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[Assistant] 77.42

[User]
if a – 8 = b, then determine the value of | a - b | - | b - a |.
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[Assistant] 0

[User]
the difference between compound interest and simple interest on a certain amount of money at 5 % per annum for 2 years is 18. find the sum :
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[Assistant] 7200

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


[User]
a bus covered a distance of 250 km, partly at an average speed of 40 kmph and partly at 60 kmph. if the total time taken is 6 hours, then the distance covered at 40 kmph is
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[Assistant] 220 km

[User]
a train 360 m long runs with a speed of 45 km / hr. what time will it take to pass a platform of 180 m long?
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[Assistant] 43.2 sec

[User]
if the length of the longest chord of a certain circle is 22, what is the radius of that certain circle?
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[Assistant] 11

[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 $ 20.00 each, what was company c ’ s gross profit?
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[Assistant] $ 8,100

[User]
if y is 70 % greater than x, than x is what % less than y?
Answer the question using a single word or phrase.

[Assistant] 41.2


[User]
in a room filled with 7 people, 3 people have exactly 1 sibling in the room and 4 people have exactly 2 siblings in the room. if two individuals are selected from the room at random, what is the probability that those two individuals are not siblings?
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[Assistant] 13 / 21

[User]
mohit sold an article for $ 27000. had he offered a discount of 10 % on the selling price, he would have earned a profit of 8 %. what is the cost price of the article?
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[Assistant] 22500

[User]
if a farmer wants to plough a farm field on time, he must plough 260 hectares a day. for technical reasons he ploughed only 85 hectares a day, hence he had to plough 2 more days than he planned and he still has 40 hectares left. what is the area of the farm field and how many days the farmer planned to work initially?
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[Assistant] 312

[User]
on my sister's 15 th birthday, she was 159 cm in height, having grown 6 % since the year before. how tall was she the previous year?
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[Assistant] 150 cm

[User]
jim â € ™ s taxi service charges an initial fee of $ 2.35 at the beginning of a trip and an additional charge of $ 0.35 for each 2 / 5 of a mile traveled. what is the total charge for a trip of 3.6 miles?
Answer the question using a single word or phrase.

[Assistant] $ 5.50


[User]
a special municipal payroll tax charges not tax on a payroll less than $ 200,000 and only 0.2 % on a company ’ s payroll above $ 200,000. if belfried industries paid $ 400 in this special municipal payroll tax, then they must have had a payroll of
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[Assistant] $ 400,000

[User]
the speed of a boat in still water in 20 km / hr and the rate of current is 3 km / hr. the distance travelled downstream in 24 minutes is :
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[Assistant] 9.2

[User]
what is the sum of all possible solutions to | x - 3 | ^ 2 + | x - 3 | = 42?
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[Assistant] 5

[User]
what is remainder of the division ( 1225 * 1227 * 1229 ) / 12?
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[Assistant] 3

[User]
the sum of three consecutive multiples of 3 is 99. what is the largest number?
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[Assistant] 36


[User]
what number should replace the question mark? 2, 16, 4, 14, 6, 12, - - -?
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[Assistant] 8

[User]
a garrison of 400 men had a provision for 31 days. after 28 days 280 persons re - enforcement leave the garrison. find the number of days for which the remaining ration will be sufficient?
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[Assistant] 10 days

[User]
a father said his son, ` ` i was as old as you are at present at the time of your birth. ` ` if the father age is 62 now, the son age 5 years back was
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[Assistant] 26

[User]
calculate the average of all the numbers between 7 and 49 which are divisible by 6.
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[Assistant] 30

[User]
a certain sum of money is divided among a, b and c such that a gets one - third of what b and c together get and b gets two - seventh of what a and c together get. if the amount received by a is $ 35 more than that received by b, find the total amount shared by a, b and c.
Answer the question using a single word or phrase.

[Assistant] $ 1260


[User]
a train 125 m long passes a man, running at 5 km / hr in the same direction in which the train is going, in 10 seconds. the speed of the train is?
Answer the question using a single word or phrase.

[Assistant] 50 kmph

[User]
the number which exceeds 16 % of it by 21 is :
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[Assistant] 25

[User]
excluding stoppages, the speed of a bus is 60 kmph and including stoppages, it is 50 kmph. for how many minutes does the bus stop per hour?
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[Assistant] 10 min

[User]
if 4 ( p's capital ) = 6 ( q's capital ) = 10 ( r's capital ), then out of the total profit of rs 4960, r will receive
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[Assistant] 960

[User]
n is an 80 - digit positive integer ( in the decimal scale ). all digits except the 44 th digit ( from the left ) are 2. if n is divisible by 13, find the 26 th digit?
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[Assistant] 6


[User]
60 boys can complete a work in 40 days. how many men need to complete twice the work in 20 days
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[Assistant] 240

[User]
an outlet pipe empties a tank which is full in 8 hours. if the inlet pipe is kept open, which lets water in at the rate of 8 litres / min then outlet pipe would take 4 hours longer. find the capacity of the tank.
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[Assistant] 11520 litres

[User]
how should we mix two rice packets to get one 1 kg packet priced at rs 8 when the prices of 1 kg packets of the two types are rs 7.1 and rs 9.2.
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[Assistant] 4 : 3

[User]
car a runs at the speed of 35 km / hr & reaches its destination in 9 hr. car b runs at the speed of 43 km / h & reaches its destination in 10 h. what is the respective ratio of distances covered by car a & car b?
Answer the question using a single word or phrase.

[Assistant] 63 : 86

[User]
a and b ’ s salaries together amount to rs. 3,000. a spends 95 % of his salary and b spends 85 % of his. if now their savings are the same, what is a ’ s salary?
Answer the question using a single word or phrase.

[Assistant] 2250


[User]
the average weight of 3 packets a, b and c is 84 kg. another packet d added into the group and the average now becomes 80 kg. if another packet e, whose weight is 3 kg more than that of d, replaces a then the average weight of b, c, d and e becomes 79 kg. the weight of a is :
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[Assistant] 75 kg

[User]
the consumption of diesel per hour of a bus varies directly as square of its speed. when the bus is travelling at 60 kmph its consumption is 1 litre per hour. if each litre costs $ 30 and other expenses per hous is $ 20, then what would be the minimum expenditure required to cover a distance of 600 km?
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[Assistant] 500

[User]
if the average of 10 consecutive integers is 19.5 then the 10 th integer is : -
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[Assistant] 24

[User]
on the first day of her vacation, louisa traveled 100 miles. on the second day, traveling at the same average speed, she traveled 175 miles. if the 100 - mile trip took 3 hours less than the 175 - mile trip, what was the average speed, in miles per hour?
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[Assistant] 25

[User]
at a certain paint store forest green is made by mixing 4 parts blue paint with 3 parts yellow paint. verdant green is made by mixing 4 parts yellow paint with 3 parts blue paint. how many liters of yellow paint must be added to 28 liters of forest green to change it to verdant green?
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[Assistant] 28 / 3


[User]
the ratio between the length and the breadth of a rectangular park is 3 : 2. if a man cycling along the boundary of the park at the speed of 12 km / hr completes one round in 8 minutes, then what is the area of the park ( in sq. m )?
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[Assistant] 153600

[User]
in a office work is distribute between p persons. if 1 / 5 members are absent then work increased for each person is?
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[Assistant] 25 %

[User]
what could be the range of a set consisting of odd multiples of 5?
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[Assistant] 60

[User]
a book is bought for $ 60 and sold for $ 75. what is the profit in percentage?
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[Assistant] 25

[User]
how many multiples of 5 are there between 5 to 85?
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[Assistant] 15


[User]
the difference between a number and its two - fifth is 510. what is 10 % of that number?
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[Assistant] 85

[User]
in a recent election, james received 0.5 percent of the 2,000 votes cast. to win the election, a candidate needed to receive more than 45 percent of the vote. how many additional votes would james have needed to win the election?
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[Assistant] 891

[User]
the value of a machine depreciates at 23 % per annum. if its present value is $ 1, 50,000, at what price should it be sold after two years such that a profit of $ 24,000 is made?
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[Assistant] $ 112935

[User]
a train travels 240 km in 3 hours and 450 km in 5 hours. find the average speed of train.
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[Assistant] 86 kmph

[User]
a gambler bought $ 3,000 worth of chips at a casino in denominations of $ 20 and $ 100. that evening, the gambler lost 16 chips, and then cashed in the remainder. if the number of $ 20 chips lost was 2 more or 2 less than the number of $ 100 chips lost, what is the largest amount of money that the gambler could have received back?
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[Assistant] $ 2,120


[User]
a train running at the speed of 60 km / hr crosses a pole in 12 seconds. find the length of the train?
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[Assistant] 200 meter

[User]
two trains of equal lengths take 12 sec and 24 sec respectively to cross a telegraph post. if the length of each train be 120 m, in what time will they cross other travelling in opposite direction?
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[Assistant] 16 sec

[User]
set a contains 4 different positive odd integers and 6 different positive even integers. set b contains two different positive odd integers and 3 different positive even integers. if one integer from set a and one integer from set b are chosen at random, what is the probability that the product of the chosen integers is even?
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[Assistant] 21 / 25

[User]
a and b can do a piece of work in 16 days, b and c in 24 days, c and a in 12 days. how long will c take to do it?
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[Assistant] 32 days

[User]
population of a city in 20004 was 1000000. if in 2005 there isan increment of 15 %, in 2006 there is a decrement of 35 % and in 2007 there is an increment of 45 %, then find the population of city at theend of the year 2007
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[Assistant] 1083875


[User]
a searchlight on top of the watch - tower makes 3 revolutions per minute. what is the probability that a man appearing near the tower will stay in the dark for at least 5 seconds?
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[Assistant] 3 / 4

[User]
in the first 10 overs of a cricket game, the run rate was only 4.8. what should be the run rate in the remaining 40 overs to reach the target of 282 runs?
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[Assistant] 5.85

[User]
the timing of a college is from 12 p. m to 4.20 p. m. six lectures are held in the given duration and a break of 5 minutes after each lecture is given to the students. find the duration of each lecture.
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[Assistant] 39 minutes

[User]
a man rows his boat 75 km downstream and 45 km upstream, taking 2 1 / 2 hours each time. find the speed of the stream?
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[Assistant] 6

[User]
in the land of oz only one or two - letter words are used. the local language has 66 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?
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[Assistant] 131


[User]
the ratio of length of two refill is 9 : 8.2 nd refill got damaged when only half length of 2 nd refill get used. the ratio of total no. of pages written by both refill.
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[Assistant] 9 : 4

[User]
a train running at the speed of 45 km / hr crosses a pole in 16 seconds. find the length of the train.
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[Assistant] 200

[User]
he number of times a bucket of capacity 4 liters to be used to fill up a tank is less than number of ties another bucket of capacity 3 liters used for the same purpose by 4. what is the capacity of the tank?
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[Assistant] 48

[User]
two mba admissions committees are to be formed randomly from 6 second year mbas with 3 members each. what is the probability w that jane will be on the same committee as albert?
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[Assistant] 40 %

[User]
how many plants will be there in a circular bed whose outer edge measure 35 cms, allowing 4 cm 2 for each plant?
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[Assistant] 24


[User]
the weights of one liter vegetable ghee packet of two brands ‘ a ’ and ‘ b ’ are 900 gm and 700 gm respectively. if they are mixed in the ratio of 3 : 2 by volumes to form a mixture of 4 liters, what is the weight ( in kg ) of the mixture?
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[Assistant] 3.28

[User]
find the last 3 digit of 443 ^ 443.
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[Assistant] 307

[User]
a train running at the speed of 120 km / hr crosses a pole in 9 seconds. find the length of the train.
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[Assistant] 300 meter

[User]
155 liters of a mixture of milk and water contains in the ratio 3 : 2. how much water should now be added so that the ratio of milk and water becomes 3 : 4?
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[Assistant] 62 liters

[User]
the center of a circle lies on the origin of the coordinate plane. if a point ( x, y ) is randomly selected inside of the circle, what is the probability that y > 0 and y > x?
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[Assistant] 3 / 8


[User]
how many different positive integers are factors of 196?
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[Assistant] 49

[User]
the product of two numbers is 266 and their difference is 5. what is the bigger number?
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[Assistant] 19

[User]
if 821562 is to be divisible by 5, what is the least whole number that should be added to it?
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[Assistant] 6

[User]
in 2008, the profits of company n were 10 percent of revenues. in 2009, the revenues of company n fell by 20 percent, but profits were 16 percent of revenues. the profits in 2009 were what percent of the profits in 2008?
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[Assistant] 128 %

[User]
the difference between the place values of 8 and 3 in the number 587435 is
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[Assistant] 79970


[User]
what is the unit digit of 3 ^ 58?
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[Assistant] 9

[User]
if the average ( arithmetic mean ) of a and b is 35 and the average of b and c is 80, what is the value of c − a?
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[Assistant] 90

[User]
a group of men decided to do a work in 17 days, but 8 of them became absent. if the rest of the group did the work in 21 days, find the original number of men?
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[Assistant] 42

[User]
arun purchased 30 kg of wheat at the rate of rs. 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg. he mixed the two and sold the mixture. approximately what price per kg should be sell the mixture to make 10 % profit?
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[Assistant] 13.86

[User]
in an apartment building that has 490 units, 4 out of every 7 units are currently rented, including 1 / 6 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] 10


[User]
a certain bus driver is paid a regular rate of $ 16 per hour for any number of hours that does not exceed 40 hours per week. for any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75 % higher than his regular rate. if last week the bus driver earned $ 976 in total compensation, how many total hours did he work that week?
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[Assistant] 52

[User]
a works twice as fast as b. if b can complete a work in 18 days independently, the number of days in which a and b can together finish the work is :
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[Assistant] 6 days

[User]
he average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. what might be the weight of the new person?
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[Assistant] 85 kg

[User]
a, band c enter into partnership. a invests 3 times as much as b and b invests two - third of what c invests. at the end of the year, the profit earned is rs. 8800. what is the share of b?
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[Assistant] 1600

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


[User]
two trains of length 100 m and 200 m are 100 m apart. they start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. after how much time will the trains meet?
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[Assistant] 20 / 7 sec

[User]
an oil cylinder was 3 / 4 th full. when 4 bottles of oil is poured into it, it is 4 / 5 th full. how many bottles of oil can the full cylinder hold?
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[Assistant] 80

[User]
if f ( f ( n ) ) + f ( n ) = 2 n + 3, f ( 0 ) = 1 then f ( 2013 ) =?
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[Assistant] 2014

[User]
last year manfred received 26 paychecks. each of his first 6 paychecks was $ 750 ; each of his remaining paychecks was $ 50 more than each of his first 6 paychecks. to the nearest dollar, what was the average ( arithmetic mean ) amount of his pay checks for the year?
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[Assistant] $ 788

[User]
a certain no. when divided by 110 leaves a remainder 25, what is the remainder if the same no. be divided by 15?
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[Assistant] 9


[User]
of the final grades received by the students in a certain math course, 1 / 5 are a's, 1 / 4 are b's, 1 / 2 are c's, and the remaining 30 grades are d's. what is the number of students in the course?
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[Assistant] 600

[User]
a man can row 3 kmph in still water. when the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. what is the total distance traveled by the man?
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[Assistant] 2.4

[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 2.5 times his regular rate. if lloyd works 10.5 hours on a given day, how much does he earn for that day?
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[Assistant] $ 67.50

[User]
if a large pizza has a radius that is 40 % larger that that of a medium pizza, what is the percent increase in area between a medium and a large pizza?
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[Assistant] 96 %

[User]
if tim had lunch at $ 60.50 and he gave 20 % tip, how much did he spend?
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[Assistant] $ 72.60


[User]
the salary of a, b, c, d, e is rs. 8000, rs. 5000, rs. 14000, rs. 7000, rs. 9000 per month respectively, then the average salary of a, b, c, d, and e per month is
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[Assistant] rs. 8600

[User]
water consists of hydrogen and oxygen, and the approximate ratio, by mass, of hydrogen to oxygen is 2 : 16. approximately how many grams of oxygen are there in 162 grams of water?
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[Assistant] 144

[User]
a can do a piece of work in 20 days and b can do it in 30 days and c can do it 10 days. they started the work together and a leaves after 2 days and c leaves after 4 days from the beginning. how long will work lost?
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[Assistant] 15

[User]
find the least number which when divided by 18,32, 48,52 leaves remainder 14,28, 44,48 respectively.
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[Assistant] 3740

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


[User]
tom drives from town r to town b, driving at a constant speed of 60 miles per hour. from town b tom immediately continues to town c. the distance between r and b is twice the distance between b and c. if the average speed of the whole journey was 36 mph, then what is tom's speed driving from b to c in miles per hour?
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[Assistant] 20

[User]
of the 3,600 employees of company x, 1 / 3 are clerical. if the clerical staff were to be reduced by 1 / 3, what percent of the total number of the remaining employees would then be clerical?
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[Assistant] 25 %

[User]
calculate the circumference of a circular field whose radius is 2 centimeters.
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[Assistant] 4

[User]
a and b can do a piece of work in 6 days, b and c in 7 days, c and a in 8 days. how long will c take to do it?
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[Assistant] 16.8 days

[User]
two trains are moving in opposite directions with speed of 210 km / hr and 90 km / hr respectively. their lengths are 1.10 km and 0.9 km respectively. the slower train cross the faster train in - - - seconds
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[Assistant] 24


[User]
pat, kate and mark charged a total of 216 hours to a certain project. if pat charged twice as much time to the project as kate and 1 / 3 as much times as mark, how many more hours did mark charge to the project than kate.
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[Assistant] 120

[User]
find the principle on a certain sum of money at 5 % per annum for 5 years if the amount being rs. 1120?
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[Assistant] 896

[User]
10 percent of the women in a college class are science majors, and the non - science majors make up 60 % of the class. what percentage of the men are science majors if 40 % of the class are men?
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[Assistant] 85 %

[User]
a 40 - liter solution of alcohol and water is 5 percent alcohol. if 6.5 liters of alcohol and 3.5 liters of water are added to this solution, what percent of the solution produced is alcohol?
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[Assistant] 17 %

[User]
the area of a parallelogram is 243 sq m and its altitude is three times the corresponding base. what is the length of the base?
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[Assistant] 9


[User]
rs. 730 were divided among punith, michael, suresh in such a way that if punith gets rs. 3, then michael gets rs. 4 and if michael gets rs. 3.50 then suresh gets rs. 3. the share of michael exceeds that of suresh by
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[Assistant] rs 40

[User]
the value of log 5 ( 1 / 125 ) is :
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[Assistant] - 3

[User]
a sells a cricket bat to b at a profit of 20 %. b sells it to c at a profit of 25 %. if c pays $ 222 for it, the cost price of the cricket bat for a is :
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[Assistant] 148

[User]
a car traveled 75 % of the way from town a to town b at an average speed of 90 miles per hour. the car travels at an average speed of s miles per hour for the remaining part of the trip. the average speed for the entire trip was 40 miles per hour. what is s?
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[Assistant] 15

[User]
there are 190 items that are members of set u. of these items, 49 are members of set b, 59 are not members of either of set a or set b, and 23 are members of both sets a and b. how many of the members of set u are members of set a?
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[Assistant] 105


[User]
in a 240 meters race a beats b by 56 m or 7 seconds. a's time over the course is :
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[Assistant] 23 seconds

[User]
a man is 40 years older than his son. in six years, his age will be twice the age of his son. the present age of this son is
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[Assistant] 34 years

[User]
the perimeter of a semi circle is 198 cm then the radius is?
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[Assistant] 38.5

[User]
for any number z, z * is defined as the greatest positive even integer less than or equal to y. what is the value of 6.35 – 6.35 *?
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[Assistant] 0.35

[User]
joe drives 360 miles at 60 miles per hour, and then he drives the next 120 miles at 40 miles per hour. what is his average speed for the entire trip in miles per hour?
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[Assistant] 53


[User]
the difference between the ages of two persons is 20 years. fifteen years ago, the elder one was twice as old as the younger one. the present age of the younger person is?
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[Assistant] 35

[User]
if 70 percent of 600 is 40 percent of x, then x =?
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[Assistant] 1050

[User]
find compound interest on $ 6000 at 15 % per annum for 2 years 4 months, compounded annually.
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[Assistant] 2331.75

[User]
a towel, when bleached, lost 30 % of its length and 40 % of its breadth. what is the percentage decrease in area?
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[Assistant] 58 %

[User]
in order to obtain an income of rs. 3800 from 70 % stock at rs. 280, one must make an investment of
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[Assistant] rs. 15200


[User]
a train 300 m long can cross an electric pole in 15 sec and then find the speed of the train?
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[Assistant] 72 kmph

[User]
a pipe can empty 2 / 3 rd of a cistern in 12 mins. in 5 mins, what part of the cistern will be empty?
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[Assistant] 5 / 18

[User]
jane and thomas are among the 8 people from which a committee of 3 people is to be selected. how many different possible committees of 3 people can be selected from these 8 people if at least one of either jane or thomas is to be selected?
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[Assistant] 36

[User]
find the surface area of a 10 cm x 4 cm x 3 cm brick
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[Assistant] 164

[User]
if john makes a contribution to a charity fund at school, the average contribution size will increase by 50 % reaching $ 75 per person. if there were 6 other contributions made before john's, what is the size of his donation?
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[Assistant] $ 225


[User]
what is the least value of x. so that 30 x 55 is divisible by 3?
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[Assistant] 2

[User]
if a motorist had driven 1 hour longer on a certain day and at an average rate of 4 miles per hour faster, he would have covered 70 more miles than he actually did. how many more miles would he have covered than he actually did if he had driven 2 hours longer and at an average rate of 10 miles per hour faster on that day?
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[Assistant] 140

[User]
2 ^ ( 2 x / 3 ) = 2 ^ ( x / 2 ) what is the value of x?
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[Assistant] 0

[User]
a box measuring 35 inches long by 20 inches wide by 10 inches deep is to be filled entirely with identical cubes. no space is to be left unfilled. what is the smallest number of cubes that can accomplish this objective?
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[Assistant] 56

[User]
how many prime numbers between 1 and 100 are factors of 1771?
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[Assistant] 3


[User]
an old man distributed all the gold coins he had to his two sons into two different numbers such that the difference between the squares of the two numbers is 25 times the difference between the two numbers. how many coins did the old man have?
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[Assistant] 25

[User]
in traveling from a dormitory to a certain city, a student went 1 / 5 of the way by foot, 2 / 3 of the way by bus, and the remaining 15 kilometers by car. what is the distance, in kilometers, from the dormitory to the city?
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[Assistant] 60

[User]
if 18! / 3 ^ x is an integer, what is the greatest possible value of x?
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[Assistant] 8

[User]
the ratio of 2 numbers is 3 : 7 and their h. c. f. is 10. their l. c. m. is?
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[Assistant] 210

[User]
two trains are moving in opposite directions @ 100 kmph and 120 kmph. their length are 500 m and 700 m. the time taken by the slower train to cross faster train in second is?
Answer the question using a single word or phrase.

[Assistant] 19.6 sec


[User]
riya and priya set on a journey. riya moves eastward at a speed of 20 kmph and priya moves westward at a speed of 30 kmph. how far will be priya from riya after 30 minutes
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[Assistant] 25 kms

[User]
a 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 10 sec. what is the length of the platform?
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[Assistant] 870 m

[User]
how many digits are in the number 50 ^ 8 × 8 ^ 3 × 11 ^ 2 x 10 ^ 2?
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[Assistant] 21

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

[User]
running at the same constant rate, 15 identical machines can produce a total of 45 bags per minute. at this rate, how many bags could 150 such machines produce in 8 minutes?
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[Assistant] 3,600


[User]
what is the remainder when 1031 * 1047 * 1050 * 1053 is divided by 33?
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[Assistant] 24

[User]
a train 700 m long can cross an electric pole in 40 sec and then find the speed of the train?
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[Assistant] 63

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

[User]
a certain music store stocks 800 cellos and 600 violas. of these instruments, there are 100 cello - viola pairs, such that a cello and a viola were both made with wood from the same tree ( each tree can make at most one viola and one cello, so there are no pairs other than these 90 ). if one viola and one cello are chosen at random, what is the probability that the two instruments are made with wood from the same tree?
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[Assistant] 1 / 4,800

[User]
total 85 matches are conducted in knockout match type. how many players will be participated in that tournament?
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[Assistant] 84


[User]
if log 27 = 1.431, then the value of log 9 is : 0.934 b. 0.945 c. 0.954 d. 0.958
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[Assistant] 0.954

[User]
a sum fetched a total simple interest of rs. 4016.25 at the rate of 8 % p. a. in 5 years. what is the sum?
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[Assistant] rs. 10040.62

[User]
the population of a bacteria culture doubles every 5 minutes. approximately how many minutes will it take for the population to grow from 1,000 to 500,000 bacteria
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[Assistant] 45

[User]
a woman complete a journey in 25 hours. she travels first half of the journey at the rate of 21 km / hr and second half at the rate of 24 km / hr. find the total journey in km.
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[Assistant] 560 km.

[User]
set j consists of 10 consecutive even numbers. if the smallest term in the set is - 4, what is the range of the positive integers in set j?
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[Assistant] 12


[User]
a man two flats for $ 675958 each. on one he gains 12 % while on the other he loses 12 %. how much does he gain or lose in the whole transaction?
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[Assistant] 1.44 %

[User]
in a certain company, a third of the workers do not have a retirement plan. 10 % of the workers who do not have a retirement plan are women, and 40 % of the workers who do have a retirement plan are men. if 120 of the workers of that company are men, how many of the workers are women?
Answer the question using a single word or phrase.

[Assistant] 91

[User]
the distance from city a to city b is 120 miles. while driving from city a to city b, cara drives at a constant speed of 30 miles per hour. dan leaves city a 60 minutes after cara. what is the minimum constant speed in miles per hour that dan must exceed in order to arrive in city b before cara?
Answer the question using a single word or phrase.

[Assistant] 40

[User]
jack and christina are standing 150 feet apart on a level surface. their dog, lindy, is standing next to christina. at the same time, they all begin moving toward each other. jack walks in a straight line toward christina at a constant speed of 7 feet per second and christina walks in a straight line toward jack at a constant speed of 8 feet per second. lindy runs at a constant speed of 10 feet per second from christina to jack, back to christina, back to jack, and so forth. what is the total distance, in feet, that lindy has traveled when the three meet at one place?
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[Assistant] 100

[User]
how many different positive integers exist between 10 ^ 4 and 10 ^ 5, the sum of whose digits is equal to 2?
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[Assistant] 5


[User]
a man by motorcycle goes from delhi to bharatpur, a distance of 192 km, at an average speed of 32 kmph. another man starts from delhi by car 2.5 h after the motorcyclist starts and reaches bharatpur half an hour late. what is the ratio of person on the motorcycle to the person going by car?
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[Assistant] 2 : 3

[User]
if p / q = 4 / 5, then the value of 18 / 7 + { ( 2 q - p ) / ( 2 q + p ) } is?
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[Assistant] 3

[User]
a scuba diver descends at a rate of 30 feet per minute. a diver dive from a ship to search for a lost ship at the depth of 2400 feet below the sea level.. how long will he take to reach the ship?
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[Assistant] 80 minutes

[User]
how many zeroes are there at the end of the number n, if n = 150! + 300!?
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[Assistant] 37

[User]
how many prime numbers are between 26 / 3 and 85 / 6?
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[Assistant] 2


[User]
if there are 4 peanuts in a box and mary puts 2 more peanuts inside, how many peanuts are in the box?
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[Assistant] 6

[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 6840 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] 868.6 hours

[User]
in august, a cricket team that played 120 matches won 22 % of the games it played. after a continuous winning streak, this team raised its average to 52 %. how many matches did the team win to attain this average?
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[Assistant] 75

[User]
jane started baby - sitting when she was 16 years old. whenever she baby - sat for a child, that child was no more than half her age at the time. jane is currently 32 years old, and she stopped baby - sitting 10 years ago. what is the current age of the oldest person for whom jane could have baby - sat?
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[Assistant] 24

[User]
if 1 = 3 2 = 6 3 = 9 4 = 12 5 = 15 then 9 =? hint : its a logic riddle not a mathematical riddle
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[Assistant] 3


[User]
find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 25 cm?
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[Assistant] 475 cm 2

[User]
in a forest 170 deer were caught, tagged with electronic markers, then released. a week later, 50 deer were captured in the same forest. of these 50 deer, it was found that 5 had been tagged with the electronic markers. if the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest, and if no deer had either left or entered the forest over the preceding week, what is the approximate number of deer in the forest?
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[Assistant] 1,700

[User]
in an examination, a student scores 5 marks for every correct answer and loses 2 marks for every wrong answer. if he attempts all 100 questions and secures 290 marks, the number of questions he attempts correctly, is :
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[Assistant] 70

[User]
there are 3 boats b 1, b 2 and b 3 working together they carry 60 people in each trip. one day an early morning b 1 carried 50 people in few trips alone. when it stopped carrying the passengers b 2 and b 3 started carrying the people together. it took a total of 10 trips to carry 300 people by b 1, b 2 and b 3. it is known that each day on an average 300 people cross the river using only one of the 3 boats b 1, b 2 and b 3. how many trips it would take to b 1, to carry 150 passengers alone?
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[Assistant] 15

[User]
the average age of 12 men is increased by years when two of them whose ages are 21 years and 23 years are replaced by two new men. the average age of the two new men is
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[Assistant] 34


[User]
a boat can travel with a speed of 24 km / hr in still water. if the speed of the stream is 4 km / hr, find the time taken by the boat to go 112 km downstream
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[Assistant] 4 hours

[User]
find the l. c. m. of 72, 108 and 2100.
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[Assistant] 37800

[User]
the average of 10 numbers is calculated as 16. it is discovered later on that while calculating the average, the number 55 was incorrectly read as 25, and this incorrect number was used in the calculation. what is the correct average?
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[Assistant] 19

[User]
the average of 1 st 3 of 4 numbers is 16 and of the last 3 are 15. if the sum of the first and the last number is 21. what is the last numbers?
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[Assistant] 9

[User]
how many inches are in 2000 millimeters? ( round your answer to the nearest hundredth of of an inch ).
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[Assistant] 78.74 inches


[User]
the average of 6 no.'s is 6.40. the average of 2 of them is 6.2, while the average of the other 2 is 6.1. what is the average of the remaining 2 no's?
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[Assistant] 6.9

[User]
the current in a river is 6 mph. a boat can travel 20 mph in still water. how far up the river can the boat travel if the round trip is to take 10 hours?
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[Assistant] 91 miles

[User]
a school has 6 maths 5 physics and 5 chemistry teachers each teacher can teach 4 subjects max what is he minimum number of teachers required
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[Assistant] 4

[User]
if a monkey can climb 6 meter & slip down 3 meter in alternate minutes, than how much time can be taken by the monkey to climb up to a height of 60 meter.
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[Assistant] 37 min

[User]
on a map, 1.5 inches represent 24 miles. how many miles approximately is the distance if you measured 46 centimeters assuming that 1 - inch is 2.54 centimeters?
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[Assistant] 290


[User]
the cash realised on selling a 14 % stock is rs. 104.25, brokerage being 1 / 4 % is?
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[Assistant] 104

[User]
how many numbers up to 200 are divisible by 2 and 3 both?
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[Assistant] 33

[User]
last year manfred received 26 paychecks. each of his first 6 paychecks was $ 750 ; each of his remaining paychecks was $ 20 more than each of his first 6 paychecks. to the nearest dollar, what was the average ( arithmetic mean ) amount of his pay checks for the year?
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[Assistant] $ 765

[User]
what is the rate percent when the simple interest on rs. 800 amount to rs. 200 in 4 years?
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[Assistant] 6.25 %

[User]
a can do a piece of work in 12 days. he worked for 15 days and then b completed the remaining work in 10 days. both of them together will finish it in.
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[Assistant] 12 1 / 2 days


[User]
a train running at the speed of 6 km / hr crosses a pole in 2 seconds. find the length of the train?
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[Assistant] 3.33

[User]
the denominator of a fraction is 5 greater than the numerator. if the numerator and the denominator are increased by 1, the resulting fraction is equal to 7 â  „ 12. what is the value of the original fraction?
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[Assistant] 6 / 11

[User]
if the sum of two positive integers is 22 and the difference of their squares is 44, what is the product of the two integers?
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[Assistant] 120

[User]
suppose you work for a manufacturing plant that pays you $ 12.50 an hour plus $ 0.16 for each widget you make. how many widgets must you produce in a 40 hour week to earn $ 660 ( before payroll deductions )?
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[Assistant] 1000

[User]
in a stream running at 3 kmph, a motor boat goes 10 km upstream and back again to the starting point in 57 minutes. find the speed of motor boat in still water?
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[Assistant] 22 kmph


[User]
in a can, there is a mixture of milk and water in the ratio 4 : 5. if it is filled with an additional 4 litres of milk the can would be full and ratio of milk and water would become 6 : 5. find the capacity of the can?
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[Assistant] 22

[User]
a no. when divided by 221 gives a remainder 43, what remainder will be obtainedby dividingthe same no. 17?
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[Assistant] 9

[User]
a certain cube floating in a bucket of water has between 80 and 90 percent of its volume below the surface of the water. if between 6 and 13 cubic centimeters of the cube's volume is above the surface of the water, then the length of a side of the cube is approximately
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[Assistant] 4

[User]
there are 25 balls which are red, blue or green. if 8 balls are blue and the sum of green balls and blue balls is less than 17, at most how many green balls are there?
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[Assistant] 8

[User]
a waitress's income consists of her salary and tips. during one week, her tips were 11 / 4 of her salary. what fraction of her income for the week came from tips?
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[Assistant] 11 / 15


[User]
on a certain farm the ratio of horses to cows is 5 : 1. if the farm were to sell 15 horses and buy 15 cows, the ratio of horses to cows would then be 17 : 7. after the transaction, how many more horses than cows would the farm own?
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[Assistant] 50

[User]
the banker's gain on a sum due 6 years hence at 12 % per annum is rs. 684. what is the banker's discount?
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[Assistant] 1634

[User]
a sum of money at simple interest amounts to $ 780 in 3 years and to $ 930 in 4 years. the sum is :
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[Assistant] $ 330

[User]
what is 15 percent of 44?
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[Assistant] 6.6

[User]
the price of commodity x increases by 45 cents every year, while the price of commodity y increases by 20 cents every year. in 2001, the price of commodity x was $ 5.20 and the price of commodity y was $ 7.30. in which year will the price of commodity x be 90 cents more than the price of commodity y?
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[Assistant] 2013


[User]
1, 1, 3, 9, 5, 25, 7, 49 _, 81
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[Assistant] 9

[User]
a shopkeeper cheats both his supplier and customer by using faulty weights. when he buys from the supplier, he takes 20 % more than the indicated weight. when he sells to his customer, he gives the customer a weight such that 10 % of that is added to the weight, the weight claimed by the trader is obtained. if he charges the cost price of the weight that he claims, find his profit percentage.
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[Assistant] 32 %

[User]
of 3 numbers, the third is 4 times the second and the second is two times the first. if their average is 165, the smallest of the 3 numbers is :
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[Assistant] 45

[User]
two mixers and one t. v. cost rs. 7000, while two t. v. s and a mixer cost rs, 9800. the value of one t. v. is :
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[Assistant] rs. 4200

[User]
a train travels at the rate of 10 miles / hr for the first hour of a trip, at 20 miles / hr for the second hour, at 30 miles / hr for the third hour and so on. how many hours will it take the train to complete a 550 - mile journey? assume that the train makes no intermediate stops.
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[Assistant] 10


[User]
ifaequals the sum of the even integers from 2 to 20, inclusive, andbequals the sum of the odd integers from 1 to 19, inclusive, what is the value of ( a - b ) / 2?
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[Assistant] 5

[User]
in a certain diving competition, 5 judges score each dive on a scale from 1 to 10. the point value of the dive is obtained by dropping the highest score and the lowest score and multiplying the sum of the remaining scores by the degree of difficulty. if a dive with a degree of difficulty of 3.2 received scores of 7.5, 7.8, 9.0, 6.0, and 8.5, what was the point value of the dive?
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[Assistant] 76.16

[User]
the workforce of company x is 60 % female. the company hired 28 additional male workers, and as a result, the percent of female workers dropped to 55 %. how many employees did the company have after hiring the additional male workers?
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[Assistant] 336

[User]
the average of first 25 prime numbers is?
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[Assistant] 11.11

[User]
14 men can complete a piece of work in 22 days. in how many days can 18 men complete that piece of work?
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[Assistant] 17 days


[User]
find the lcm of 0.6, 9.6 and 0.36.
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[Assistant] 28.8

[User]
what is the rate percent when the simple interest on rs. 4000 amount to rs. 320 in 2 years?
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[Assistant] 4 %

[User]
man can row upstream at 30 kmph and downstream at 40 kmph, and then find the speed of the man in still water?
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[Assistant] 35

[User]
two trains, one from howrah to patna and the other from patna to howrah, start simultaneously. after they meet, the trains reach their destinations after 4 hours and 10 hours respectively. the ratio of their speeds is
Answer the question using a single word or phrase.

[Assistant] 5 : 2

[User]
for a certain exam, a score of 58 was 2 standard deviations below mean and a score of 98 was 3 standard deviations above mean. what was the mean score q for the exam?
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[Assistant] 74


[User]
the standard deviation of a normal distribution of data is 2, and 3 standard deviations below the mean is greater than 47. what is a possible value for the mean of the distribution?
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[Assistant] 54

[User]
a cycle is bought for rs. 900 and sold for rs. 1120, find the gain percent?
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[Assistant] 24

[User]
6.006 / 3.003
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[Assistant] 2

[User]
the ratio between the sale price and the cost price of an article is 4 : 3. what is the ratio between the profit and the cost price of that article?
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[Assistant] 1 : 3

[User]
two trains of equal length are running on parallel lines in the same direction at 46 km / hr and 36 km / hr. the faster train passes the slower train in 27 seconds. what is the length of each train ( in meters )?
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[Assistant] 37.5


[User]
the average of 35 numbers is 25. if each number is multiplied by 5, find the new average?
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[Assistant] 125

[User]
the average mark of the students of a class in a particular exam is 80. if 5 students whose average mark in that exam is 50 are excluded, the average mark of the remaining will be 90. find the number of students who wrote the exam.
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[Assistant] 20

[User]
if n = 5 ^ 11 – 5, what is the units digit of n?
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[Assistant] 0

[User]
p, q and r have rs. 4000 among themselves. r has two - thirds of the total amount with p and q. find the amount with r?
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[Assistant] rs. 1600

[User]
8500 + ( 1600 ÷? ) of 1 / 5 = 8501
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[Assistant] 320


[User]
8.008 / 4.004
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[Assistant] 2

[User]
two friends a, b decided to share a lot of apples. each of them had half of the total plus half an apple in order. after each of them took their share 4 time, no apples were left. how many apples were there?
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[Assistant] 251

[User]
find the simple interest on $ 10000 at 9 % per annum for 12 months?
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[Assistant] $ 900

[User]
when positive integer n is divided by 3, the remainder is 1. when n is divided by 5, the remainder is 3. what is the smallest positive integer k such that k + n is a multiple of 15?
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[Assistant] 2

[User]
how many multiples of 4 are there between 64 and 256?
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[Assistant] 47


[User]
at the end of the month, a certain ocean desalination plant ’ s reservoir contained 14 million gallons of water. this amount is twice the normal level. if this amount represents 70 % of the reservoir ’ s total capacity, how many million gallons short of total capacity is the normal level?
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[Assistant] 10

[User]
of the 14,210 employees of the anvil factory, 2 / 7 are journeymen. if half of the journeymen were laid off, what percentage of the total remaining employees would be journeymen?
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[Assistant] 16.67 %

[User]
what is the value of x ^ 2 yz − xyz ^ 2, if x = 1, y = 1, and z = 3?
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[Assistant] - 6

[User]
a circle graph shows how the megatech corporation allocates its research and development budget : 14 % microphotonics ; 24 % home electronics ; 10 % food additives ; 29 % genetically modified microorganisms ; 8 % industrial lubricants ; and the remainder for basic astrophysics. if the arc of each sector of the graph is proportional to the percentage of the budget it represents, how many degrees of the circle are used to represent basic astrophysics research?
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[Assistant] 54 °

[User]
the difference between a 7 digit number and the number formed by reversing its digit is not a multiple of
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[Assistant] 121


[User]
two trains of length 120 meter and 150 meter crosses a stationary man in 10 and 15 seconds respectively. in what time they will cross each other when they are moving in same direction.
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[Assistant] 135 sec

[User]
a, b two inlet pipes takes 15,18 minutes to fill the tank and c an oulet pipe takes 45 minutes to empty the tank respectively. in what time the tank be filled if all of them are operated together?
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[Assistant] 10 minutes

[User]
a car traveled from san diego to san francisco at an average speed of 63 miles per hour. if the journey back took twice as long, what was the average speed of the trip?
Answer the question using a single word or phrase.

[Assistant] 42.

[User]
at the opening of a trading day at a certain stock exchange, the price per share of stock k was $ 6. if the price per share of stock k was $ 8 at the closing of the day, what was the percent increase in the price per share of stock k for that day?
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[Assistant] 33.33 %

[User]
a man engaged a servant on the condition that he would pay him rs. 900 and a uniform after one year service. he served only for 9 months and received uniform and rs. 650, find the price of the uniform?
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[Assistant] 100


[User]
how many pieces of 85 cm length can be cut from a rod of 29.75 meters long?
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[Assistant] 35

[User]
for every even positive integer m, f ( m ) represents the product of all even integers from 2 to m, inclusive. for example, f ( 12 ) = 2 x 4 x 6 x 8 x 10 x 12. what is the greatest prime factor of f ( 30 )?
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[Assistant] 13

[User]
in a office work is distribute between p persons. if 1 / 3 members are absent then work increased for each person is?
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[Assistant] 50 %

[User]
find the area of a parallelogram with base 60 cm and height 16 cm?
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[Assistant] 960 cm 2

[User]
the average salary of a person for the months of january, february, march and april is rs. 8000 and that for the months february, march, april and may is rs. 8400. if his salary for the month of may is rs. 6500, find his salary for the month of january?
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[Assistant] s. 4900


[User]
if a light flashes every 6 seconds, how many times will it flash in 2 / 5 of an hour?
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[Assistant] 241

[User]
what percent of 11 is 11 percent of 1?
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[Assistant] 1

[User]
the area of a square is equal to five times the area of a rectangle of dimensions 20 cm * 16 cm. what is the perimeter of the square?
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[Assistant] 160 cm

[User]
on a race track a maximum of 5 horses can race together at a time. there are a total of 25 horses. there is no way of timing the races. what is the minimum number w of races we need to conduct to get the top 3 fastest horses?
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[Assistant] 7

[User]
what is 66.67 % of 804 of 0.1666?
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[Assistant] 89.33


[User]
find the principle on a certain sum of money at 5 % per annum for 3 1 / 5 years if the amount being rs. 870?
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[Assistant] rs. 750

[User]
how many multiples of 2 are there between 1 and 60, exclusive?
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[Assistant] 29

[User]
the bankers discount of a certain sum of money is rs. 576 and the true discount on the same sum for the same time is rs. 480. the sum due is :
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[Assistant] 2880

[User]
a pair of articles was bought for $ 50 at a discount of 30 %. what must be the marked price of each of the article?
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[Assistant] $ 17.50

[User]
in an intercollegiate competition that lasted for 3 days, 185 students took part on day 1, 150 on day 2 and 200 on day 3. if 100 took part on day 1 and day 2 and 110 took part on day 2 and day 3 and 50 took part on all three days, how many students took part only on day 3?
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[Assistant] 40


[User]
express a speed of 46 kmph in meters per second?
Answer the question using a single word or phrase.

[Assistant] 12.78 mps

[User]
simplify 80 â ˆ ’ [ 5 â ˆ ’ ( 6 + 2 ( 7 â ˆ ’ 8 â ˆ ’ 5 â ¯ â ¯ â ¯ â ¯ â ¯ â ¯ â ¯ â ¯ â ¯ â ¯ â ¯ ) ) ]
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[Assistant] 89

[User]
solve the equation for x : 19 ( x + y ) + 17 = 19 ( - x + y ) - 21?
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[Assistant] - 1

[User]
if rs. 7500 are borrowed at c. i at the rate of 4 % per annum, then after 5 years the amount to be paid is?
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[Assistant] 9125

[User]
a farmer has an apple orchard consisting of fuji and gala apple trees. due to high winds this year 10 % of his trees cross pollinated. the number of his trees that are pure fuji plus the cross - pollinated ones totals 204, while 3 / 4 of all his trees are pure fuji. how many of his trees are pure gala?
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[Assistant] 36


[User]
( 32323 + 7344 + 41330 ) - ( 317 x 91 ) =?
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[Assistant] 52150

[User]
an amount of rs. 1560 was divided among a, b and c, in the ratio 1 / 2 : 1 / 3 : 1 / 4. find the share of c?
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[Assistant] rs. 360

[User]
42 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] 28

[User]
how many three - digit whole numbers yield a remainder of 1 when divided by 10 and also yield a remainder of 1 when divided by 6?
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[User]
find the area of a parallelogram with base 32 cm and height 18 cm?
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[Assistant] 576 cm 2


[User]
the number 91 is equal to the sum of the cubes of two integers. what is the product of those integers?
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[Assistant] 12

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

[User]
angelina walked 250 meters from her home to the grocery at a constant speed. she then walked 360 meters to the gym at double the speed. she spent 70 seconds less on her way from the grocery to the gym than on her way from home to the grocery. what was angelina's speed, in meters per second, from the grocery to the gym?
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[Assistant] 2

[User]
2 + 2 + 2 ^ 2 + 2 ^ 3 + 2 ^ 4 + 2 ^ 5 + 2 ^ 6 + 2 ^ 7 + 2 ^ 8 =
Answer the question using a single word or phrase.

[Assistant] 2 ^ 9

[User]
a discount electronics store normally sells all merchandise at a discount of 10 percent to 30 percent off the suggested retail price. if, during a special sale, an additional 20 percent were to be deducted from the discount price, what would be the lowest possible price of an item costing $ 400 before any discount?
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[Assistant] $ 224.00


[User]
logx 16 = 0.8 then what is the value of x?
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[Assistant] 32

[User]
a 16 % stock yielding 8 % is quoted at?
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[Assistant] 200

[User]
at an elementary school, 70 % of the faculty members are women and 40 % of the faculty members are married. if 1 ⁄ 3 of the men are single, what fraction of the men are married?
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[Assistant] 2 / 3

[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. 12 of money?
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[Assistant] 1200

[User]
a man whose bowling average is 12.4, takes 3 wickets for 26 runs and there by decreases his average by 0.4. the number of wickets taken by him before his last match is?
Answer the question using a single word or phrase.

[Assistant] 25


[User]
a tank contains 10,000 gallons of a solution that is 5 percent sodium chloride by volume. if 2,000 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride?
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[Assistant] 6.25 %

[User]
a tank is filled in 10 hours by 3 pipes a, b and c. pipe a is twice as fast as pipe b, and b is twice as fast as c. how much time will pipe b alone take to fill the tank?
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[Assistant] 35 hours

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

[User]
a, b and c rents a pasture for rs. 928. a put in 12 horses for 8 months, b 16 horses for 9 months and 18 horses for 6 months. how much should c pay?
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[Assistant] 288

[User]
gopi gives rs. 90 plus one turban as salary to his servant for one year. the servant leaves after 9 months and receives rs. 65 and the turban. find the price of the turban.
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[Assistant] 10


[User]
the temperature of a certain cup of coffee 30 minutes after it was poured was 120 degrees fahrenheit. if the temperature f of the coffee t minutes after it was poured can be determined by the formula f = 120 * 2 ^ ( - at ) + 60, where f is in degrees fahrenheit and a is a constant. then the temperature of the coffee 30 minutes after it was poured was how many degrees fahrenheit?
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[Assistant] 120

[User]
the sum of three consecutive even numbers is 246. what are the numbers?
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[Assistant] 80, 82,84

[User]
two pipes a and b can separately fill a cistern in 60 minutes and 120 minutes respectively. there is a third pipe in the bottom of the cistern to empty it. if all the three pipes are simultaneously opened, then the cistern is full in 60 minutes. in how much time, the third pipe alone can empty the cistern?
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[Assistant] 120 min

[User]
if the average of 10 consecutive integers is 23.5 then the 10 th integer is : -
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[Assistant] 28

[User]
a cistern can be filled by a tap in 4 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] 7.2 hrs


[User]
a discount electronics store normally sells all merchandise at a discount of 10 percent to 30 percent off the suggested retail price. if, during a special sale, an additional 25 percent were to be deducted from the discount price, what would be the lowest possible price of an item costing $ 260 before any discount?
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[Assistant] $ 136.50

[User]
if 2464 / 1.12 = 2200, then 246.4 / 11.2 is equal to?
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[Assistant] 22

[User]
if 4 men can paint 60 m long wall in 3 days, then 5 men can paint 50 m long wall in
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[Assistant] 2 days

[User]
a shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 10 % while buying and by 10 % while selling. what is his percentage profit?
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[Assistant] 22.22 %

[User]
a cricketer scored 152 runs which included 12 boundaries and 2 sixes. what percent of his total score did he make by running between the wickets.
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[Assistant] 60.52 %


[User]
what is the square root of 96,721?
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[Assistant] 311

[User]
a profit of rs. 20000 is to be distributed among a, b, c in the proportion 2 : 3 : 5. what will be the difference between b ’ s and c ’ s shares
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[Assistant] 4000

[User]
find the first term and the common ratio of a g. p whose fourth term is 250 and seventh term is 31,250
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[Assistant] 2,5

[User]
a sum of money deposited at c. i. amounts to rs. 6000 in 6 years and to rs. 7500 in 7 years. find the rate percent?
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[Assistant] 25 %

[User]
a dog breeder would like to make the largest profit off of his latest litter of puppies. puppies with more than 4 spots sell for more money. the last litter had 10 puppies ; 6 had 5 spots, 3 had 4 spots, and 1 had 2 spots. what % of puppies can the dog breeder expect to sell for a greater profit?
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[Assistant] 90 %


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

[User]
on the average mr. jackson has 2 hours to plan for an long hour meeting he talk to his assistant 7 hours to prepare the paper work needed. how much hours should jackson and assistant has t plan for 30 min meeting?
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[Assistant] 4.5 hr

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

[User]
a chemist mixes one liter of pure water with x liters of a 50 % salt solution, and the resulting mixture is a 10 % salt solution. what is the value of x?
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[Assistant] 1 / 4

[User]
how many positive even integers less than 100 contain digits 3 or 9?
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[Assistant] 10


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

[User]
in a company of 12 employees, 5 employees earn $ 36,000, 4 employees earn $ 45,000, and the 3 highest - paid employees earn the same amount. if the average annual salary for the 12 employees is $ 47,500, what is the annual salary for each of the highest - paid employees?
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[Assistant] $ 70,000

[User]
if y is 75 % greater than x, than x is what % less than y?
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[Assistant] 42.9 %

[User]
a 250 m long train is running at a speed of 55 km / hr. it crossed a platform of length 300 m in?
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[Assistant] 36 sec

[User]
arjun started a business with rs. 20,000 and is joined afterwards by anoop with rs. 40, 000. after how many months did anoop join if the profits at the end of the year are divided equally?
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[Assistant] 6


[User]
4 is what percent of 50?
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[Assistant] 8 %

[User]
the profit earned by selling an article for $ 832 is equal to the loss incurred when the same article is sold for $ 448. what should be the sale price for making 55 % profit?
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[Assistant] $ 992

[User]
what is the units digit of the expression 14 ^ 7 − 18 ^ 4?
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[Assistant] 8

[User]
for 6 - digit integer 46 x, y 12, when x and y are drawn at random from { 3, 58 }, what is the probability w that the integer drawn is divisible by 8? * a solution will be posted in two days.
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[Assistant] 2 / 3

[User]
the average of 10 numbers is calculated as 46. it is discovered later on that while calculating the average, the number 75 was incorrectly read as 25, and this incorrect number was used in the calculation. what is the correct average?
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[Assistant] 51


[User]
a certain car can travel 40 minutes on a gallon of gasoline at 60 miles per hour. if the car had started with a full tank and had 8 gallons of gasoline left in its tank at the end, then what percent of the tank was used to travel 80 miles at 60 mph?
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[Assistant] 20 %

[User]
all the students of class are told to sit in circle shape. here the boy at the 10 th position is exactly opposite to 40 th boy. total number of boys in the class?
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[Assistant] 60

[User]
in what time will a train 120 metres long cross an electric pole, if its speed be 72 km / hr?
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[Assistant] 6 sec

[User]
a, b and c completed a piece of work, a worked for 6 days, b for 9 days and c for 4 days. their daily wages were in the ratio of 3 : 4 : 5. find the daily wages of c, if their total earning was rs. 1850?
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[Assistant] s. 125

[User]
a worker's daily wage is increased by 50 % and the new wage is $ 42 per day. what was the worker's daily wage before the increase?
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[Assistant] $ 28


[User]
5 ltr of water is added with 15 ltr of a solution containing 26 % of alcohol in the water. the % of alcohol in the new mixture is?
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[Assistant] 19.5 %

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

[User]
anne bought doughnuts for a class breakfast party. she bought 15 chocolate doughnuts, 12 coconut doughnuts, and 14 jam - filled doughnuts. how many doughnuts did anne buy in all?
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[Assistant] 41

[User]
following an increase in prices, the price of a candy box was 10 pounds and the price of a can of soda was 6 pounds. if the price of a candy box was raised by 25 %, and the price of a can of soda was raised by 50 %. what was the price of a box of candy plus a can of soda before prices were raised?
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[Assistant] 12

[User]
if a boat is rowed downstream for 500 km in 5 hours and upstream for 240 km in 6 hours, what is the speed of the boat and the river?
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[Assistant] 70, 30


[User]
the owner of a furniture shop charges his customer 24 % more than the cost price. if a customer paid rs. 8215 for a computer table, then what was the cost price of the computer table?
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[Assistant] 6625

[User]
set d consists of all the prime numbers between 10 and 25. what is the range of set d?
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[Assistant] 12

[User]
an amount of money is to be divided between p, q and r in the ratio of 3 : 7 : 12. if the difference between the shares of p and q is rs. 2800, what will be the difference between q and r's share?
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[Assistant] 3500

[User]
the price of a mobile was increased by 25 percent. the new price was then decreased by 10 percent. a single increase of what percent is equivalent to these two successive changes?
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[Assistant] 12.5 %

[User]
the value of a machine depreciates at 20 % per annum. if its present value is rs. 1, 50,000, at what price should it be sold after two years such that a profit of rs. 26,000 is made?
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[Assistant] rs. 1, 22,000