[User]
two trains of equal lengths take 10 sec and 15 sec respectively to cross a telegraph post. if the length of each train be 140 m, in what time will they cross other travelling in opposite direction?
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[Assistant] 14 sec

[User]
at a special sale, 5 tickets can be purchased for the price of 3 tickets. if 5 tickets are purchased at the sale, the amount saved will be what percent of the original price of the 5 tickets?
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[Assistant] 40 %

[User]
the average salary of all the workers in a workshop is rs. 8000. the average salary of 7 technicians is rs. 20000 and the average salary of the rest is rs. 6000. the total number of workers in the workshop is
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[Assistant] 49

[User]
find the average of all the numbers between 6 and 34 which are divisible by 7.
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[Assistant] 17.5

[User]
at what price must an article costing rs. 47.50 be marked in order that after deducting 6 % from the list price. it may be sold at a profit of 25 % on the cost price?
Answer the question using a single word or phrase.

[Assistant] 63.16


[User]
if a mixture is 3 ⁄ 5 alcohol by volume and 4 ⁄ 5 water by volume, what is the ratio of the volume of alcohol to the volume of water in this mixture?
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[Assistant] 3 / 4

[User]
what is difference between biggest and smallest fraction among 2 / 3, 3 / 4, 4 / 5 and 5 / 6
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[Assistant] 1 / 6

[User]
a reduction of 25 % in the price of salt enables a lady to obtain 10 kgs more for rs. 800, find the original price per kg?
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[Assistant] 26.67

[User]
the compound and the simple interests on a certain sum at the same rate of interest for two years are rs. 11730 and rs. 10200 respectively. find the sum.
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[Assistant] 17000

[User]
the length of a room is 5.5 m and width is 3.75 m. what is the cost of paying the floor by slabs at the rate of $ 300 per sq. metre.
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[Assistant] $ 6187.50


[User]
of the 150 people at a party, 70 were women, and 30 women tried the appetizer. if 60 people did not try the appetizer, what is the total number of men who tried the appetizer?
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[Assistant] 60

[User]
a man swims downstream 28 km and upstream 12 km taking 2 hours each time, what is the speed of the man in still water?
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[Assistant] 10

[User]
in a restaurant, the profit is 130 % of the cost. if the cost increases by 12 % but the selling price remains constant, approximately what percentage of the selling price is the profit?
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[Assistant] 51 %

[User]
a dog takes 5 leaps for every 6 leaps of a hare. if one leap of the dog is equal to 3 leaps of the hare, the ratio of the speed of the dog to that of the hare is :
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[Assistant] 5 : 1

[User]
a mathematics teacher tabulated the marks secured by 35 students of 8 th class. the average of their marks was 72. if the marks secured by reema was written as 36 instead of 66 then find the correct average marks up to two decimal places.
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[Assistant] 72.85


[User]
a bag contains 6 green balls and 7 white balls. if two balls are drawn simultaneously, what is the probability that both balls are the same colour?
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[Assistant] 6 / 13

[User]
in the biology lab of ` ` jefferson ''high school there are 0.036 * 10 ^ 5 germs, equally divided among 75000 * 10 ^ ( - 3 ) petri dishes. how many germs live happily in a single dish?
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[Assistant] 48

[User]
set x consists of the integers from 1 to 12, inclusive, while set y consists of the integers from 0 to 20, inclusive. how many distinct integers do belong to the both sets at the same time?
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[Assistant] 12

[User]
a train 160 m long running at 72 kmph crosses a platform in 25 sec. what is the length of the platform?
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[Assistant] 340 m

[User]
the difference b / w the compound interest payble half yearly and the simple interest on a certain sum lent out at 10 % p. a for 1 year is rs 25. what is the sum?
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[Assistant] rs. 10000


[User]
how many shots of 1 cm radius can be prepared from a sphere of 2 cm radius?
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[Assistant] 8

[User]
machine a and machine b are each used to manufacture 660 sprockets. it takes machine a 10 hours longer to produce 660 sprockets than machine b. machine b produces 10 percent more sprockets per hour than machine a. how many sprockets per hour does machine a produces?
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[Assistant] 6

[User]
what is 50 % of 40 % of 1200 grams?
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[Assistant] 240 gms

[User]
the sum of the squares of the first 15 positive integers ( 1 ^ 2 + 2 ^ 2 + 3 ^ 2 +... + 15 ^ 2 ) is equal to 1250. what is the sum of the squares of the second 15 positive integers ( 16 ^ 2 + 17 ^ 2 + 18 ^ 2 +... + 30 ^ 2 )?
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[Assistant] 8225

[User]
there were two candidates in an election. winner candidate received 52 % of votes and won the election by 288 votes. find the number of votes casted to the winning candidate?
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[Assistant] 3744


[User]
john completes a piece of work in 320 days, rose completes the same work in 480 days. if both of them work together, then the number of days required to complete the work is?
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[Assistant] 192

[User]
in a sports club with 30 members, 18 play badminton and 19 play tennis and 2 do not play either. how many members play both badminton and tennis?
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[Assistant] 9

[User]
a boat having a length 3 m and breadth 2 m is floating on a lake. the boat sinks by 1.2 cm when a man gets on it. the mass of man is
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[Assistant] 72 kg

[User]
what is the probability for a family with 5 children to have two boys and 3 girls ( assuming the probability of having a boy or a girl is equal )?
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[Assistant] 5 / 16

[User]
the lowest number which should be added to 5915 so that the sum is exactly divisible by 3, 5, 8 and 7 is :
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[Assistant] 805


[User]
how many minutes does aditya take to cover a distance of 400 m, if he runs at a speed of 20 km / hr?
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[Assistant] 1 1 / 5 min

[User]
the ratio of sodium chloride to ammonium in 100 kg of mixed ammonium normally used by 3 chemists is 1 : 4. the amount of sodium chloride to be added to 100 kg of mixed ammonium to make the ratio 9 : 25 is
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[Assistant] 8.8 kg

[User]
a metallic sheet is of rectangular shape with dimensions 20 m x 25 m. from each of its corners, a square is cut off so as to make an open box. if the length of the square is 2 m, the volume of the box ( in m cube ) is :
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[Assistant] 1344 m cube

[User]
the salary of a worker is first increased by 30 % and afterwards reduced by 30 %. what is net change in his salary?
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[Assistant] 9 % decrease

[User]
think of a number, divide it by 6 and add 5 to it. the result is 17. what is the number thought of?
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[Assistant] 72


[User]
x and y are both integers. if x / y = 57.40, then what is the sum of all the possible two digit remainders of x / y?
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[Assistant] 450

[User]
a, b and c invested rs. 6300, rs. 4200 and rs. 10500 respectively, in a partnership business. find the share of a in profit of rs. 12300 after a year?
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[Assistant] 3690

[User]
$ 406 is divided among a, b, and c so that a receives half as much as b, and b receives half as much as c. how much money is c's share?
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[Assistant] $ 232

[User]
at a garage sale, all of the items were sold at different prices. if the price of a radio sold at the garage sale was both the 17 th highest price and the 24 th lowest price among the prices of the items sold, how many items were sold at the garage sale?
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[Assistant] 40

[User]
a 15 lt mixture contains water with 20 % of alcohol. if 5 more lts of water added to the mixture what is the percentage of alcohol?
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[Assistant] 15 %


[User]
the average weight of a group of boys is 30 kg. after a boy of weight 35 kg joins the group, the average weight of the group goes up by 1 kg. find the number of boys in the group originally?
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[Assistant] 4

[User]
by how much does the larger root of the equation 2 c ^ 2 + 5 c = 12 exceed the smaller root?
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[Assistant] 11 / 2

[User]
in business, a and c invested amounts in the ratio 2 : 1, whereas the ratio between amounts invested by a and b was 3 : 2, if rs 157300 was their profit, how much amount did b receive.
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[Assistant] rs 48400

[User]
at a speed of 50 miles per hour, a certain car uses 1 gallon of gasoline every 30 miles. if the car starts with a full 20 gallon tank of gasoline and travels for 5 hours at 50 miles per hour, the amount of gasoline used would be what fraction of a full tank?
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[Assistant] 5 / 12

[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 $ 10 more than that received by b, find the total amount shared by a, b and c.
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[Assistant] $ 360


[User]
in a can, there is a mixture of milk and water in the ratio 5 : 3. if the can is filled with an additional 20 liters of milk, the can would be full and the ratio of milk and water would become 3 : 1. find the capacity of the can?
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[Assistant] 60

[User]
when the price of a radio was reduced by 20 %, its sale increased by 80 %. what was the net effect on the sale?
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[Assistant] 44 % increase

[User]
two trains of length 100 m and 200 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. in what time will they be clear of each other from the moment they meet?
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[Assistant] 15 sec

[User]
the greatest number that exactly divided 105, 1001 and 2436 is :
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[Assistant] 7

[User]
how many integers between 324,700 and 478,600 have tens digit 1 and units digit 3?
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[Assistant] 1,539


[User]
a, b, c subscribe rs. 50,000 for a business. if a subscribes rs. 4000 more than b and b rs. 5000 more than c, out of a total profit of rs. 37,000, what will be the amount a receives?
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[Assistant] 15540

[User]
john would make the 3 - letter codes with 26 alphabets in condition that the middle letter must be vowel and the first letter and the third letter must be different from each other and both are consonant. how many cases of the codes are there?
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[Assistant] 2,100

[User]
ravi purchased a refrigerator and a mobile phone for rs. 15000 and rs. 8000 respectively. he sold the refrigerator at a loss of 4 percent and the mobile phone at a profit of 10 percent. overall he make a.?
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[Assistant] 200

[User]
alfred buys an old scooter for $ 4700 and spends $ 800 on its repairs. if he sells the scooter for $ 6000, his gain percent is?
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[Assistant] 9.1 %

[User]
what is the sum of all 3 digit nos formed by { 1, 3,5, 7,9 } with nos not repeated
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[Assistant] 33300


[User]
a train 180 m long is running with a speed of 55 km / hr. in what time will it pass a man who is running at 7 km / hr in the direction opposite to that in which the train is going?
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[Assistant] 10.45

[User]
from a pack of 52 cards, 1 card is drawn at random. find the probability of a face card drawn
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[Assistant] 4 / 13

[User]
there is 60 % increase in an amount in 6 years at si. what will be the ci of rs. 13,000 after 3 years at the same rate?
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[Assistant] 4303

[User]
how many times digit 6 is used while writing numbers from 150 to 1000?
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[Assistant] 252

[User]
sheila works 8 hours per day on monday, wednesday and friday, and 6 hours per day on tuesday and thursday. she does not work on saturday and sunday. she earns $ 396 per week. how much does she earn in dollars per hour?
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[Assistant] 11


[User]
36 men can complete a piece of work in 18 days. in how many days will 54 men complete the same work?
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[Assistant] 12

[User]
ramu bought an old car for rs. 34000. he spent rs. 12000 on repairs and sold it for rs. 65000. what is his profit percent?
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[Assistant] 41 %

[User]
john took a bus from home to market, that travels at 50 kmph. while walking back at 5 kmph, halfway through, he suddenly realized he was getting late and he cycled back the remaining distance in 35 kmph. find the average speed.
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[Assistant] 18.6 kmph

[User]
working at a constant rate, p can finish a job in 3 hours. q, also working at a constant rate, can finish the same job in 9 hours. if they work together for 2 hours, how many more minutes will it take p to finish the job, working alone at his constant rate?
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[Assistant] 20

[User]
line m lies in the xy - plane. the y - intercept of line m is - 2, and line m passes through the midpoint of the line segment whose endpoints are ( 2, 4 ) and ( 6, - 6 ). what is the slope of line m?
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[Assistant] - 1


[User]
a computer manufacturer produces a certain electronic component at a cost of $ 100 per component. shipping costs for delivering the components are $ 4 per unit. further, the manufacturer has costs of $ 24,500 a month related to the electronic component regardless of how many it produces. if the manufacturer produces and sells 100 components a month, what is the lowest price it can sell them for such that the costs do n't exceed the revenues?
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[Assistant] 349

[User]
a 12 by 16 rectangle is inscribed in circle. what is the circumference of the circle?
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[Assistant] 20 π

[User]
the average temperature for tuesday, wednesday and thursday was 45 ° c. the average temperature for wednesday, thursday and friday was 50 ° c. if the temperature on friday be 53 ° c, what was the temperature on tuesday?
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[Assistant] 38 c

[User]
if ( c - a ) / ( c - b ) = 1, then ( 5 b - 2 a ) / ( c - a ) =
Answer the question using a single word or phrase.

[Assistant] 6

[User]
the sum of three consecutive numbers is 87. the greatest among these three numbers is :
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[Assistant] 30


[User]
in a group of 22 boys, 13 play basketball and 15 play football. 3 of the boys play neither. how many play both?
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[Assistant] 18

[User]
the cash difference between the selling prices of an article at a profit of 2 % and 6 % is rs 3. the ratio of two selling prices is
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[Assistant] 51 : 53

[User]
two trains of equal length, running with the speeds of 60 and 60 kmph, take 50 seconds to cross each other while they are running in the same direction. what time will they take to cross each other if they are running in opposite directions?
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[Assistant] 8.3

[User]
in a certain village, 200 litres of water are required per household per month. at this rate, if there are 10 households in the village, how long ( in months ) will 2000 litres of water last?
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[Assistant] 1

[User]
in a factory, there are 80 % technicians and 20 % non - technicians. if the 80 % of the technicians and 20 % of non - technicians are permanent employees, then the percentage of workers who are temporary is?
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[Assistant] 68 %


[User]
what is the units digit of ( 147 ^ 21 ) ^ 48?
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[Assistant] 1

[User]
what percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?
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[Assistant] 20 %

[User]
what is the measure of the radius of the circle inscribed in a triangle whose sides measure 8, 15 and 19 units?
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[Assistant] 2.8 units

[User]
12 is what % of 80?
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[Assistant] 15

[User]
when greenville state university decided to move its fine arts collection to a new library, it had to package the collection in 20 - inch by 20 - inch by 15 - inch boxes. if the university pays $ 1.20 for every box, and if the university needs 3.06 million cubic inches to package the collection, what is the minimum amount the university must spend on boxes?
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[Assistant] $ 612


[User]
the sale price of an article including the sales tax is rs. 616. the rate of sales tax is 10 %. if the shopkeeper has made a profit of 40 %, then the cost price of the article is :
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[Assistant] 400

[User]
find l. c. m of 852 and 1491
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[Assistant] 5964

[User]
how many positive integers less than 300 are there such that they are multiples of 17 or multiples of 16?
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[Assistant] 34

[User]
two trains, one from howrah to patna and the other from patna to howrah, start simultaneously. after they meet, the trains reach their destinations after 9 hours and 25 hours respectively. the ratio of their speeds is :
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[Assistant] 5 : 3

[User]
convert 700 miles into meters?
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[Assistant] 1126538


[User]
what is the remainder when 1274 * 1275 * 1277 * 1285 is divided by 12?
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[Assistant] 6

[User]
how much greater is the combined area in square inches of the front and back of a rectangular sheet of paper measuring 11 inches by 17 inches than that of a rectangular sheet of paper measuring 8.5 inches by 11 inches?
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[Assistant] 100 %

[User]
when the positive integer a is divided by 11, the quotient is b and the remainder 3. when a is divided by 19, the remainder is also 3. what is the remainder when b is divided by 19?
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[Assistant] 0

[User]
yearly subscription to professional magazines cost a company $ 940.00. to make a 35 % cut in the magazine budget, how much less must be spent?
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[Assistant] 611

[User]
a certain article of clothing was discounted during a special sale to 2 / 3 of its original retail price. when the clothing did n't sell, it was discounted even further to 1 / 2 of its original retail price during a second sale. by what percent did the price of this article of clothing decrease from the first sale to the second sale?
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[Assistant] 22.22 %


[User]
rates for having a manuscript typed at a certain typing service are $ 10 per page for the first time a page is typed and $ 5 per page each time a page is revised. if a certain manuscript has 100 pages, of which 20 were revised only once, 30 were revised twice, and the rest required no revisions, what was the total cost of having the manuscript typed?
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[Assistant] $ 1400

[User]
the average ( arithmetic mean ) of 20, 40, and 60 is 7 more than the average of 10, 70, and what number?
Answer the question using a single word or phrase.

[Assistant] 19

[User]
there are 2 sections a and b in a class, consisting of 50 and 40 students respectively. if the average weight of section a is 50 kg and that of section b is 70 kg, find the average of the whole class?
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[Assistant] 58.88 kg

[User]
dan's age after 20 years will be 7 times his age 4 years ago. what is the present age of dan?
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[Assistant] 8

[User]
a work as fast as b. if b can complete a work in 12 days independently, the number of days in which a and b can together finish the work in?
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[Assistant] 4 days


[User]
in a group of 6 boys & 4 girls a committee of 4 persons is to be formed. in how many different ways can it be done so that the committee has at least 1 girl?
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[Assistant] 195

[User]
2 a 33 + b 9 ____ 99 if a and b represent positive single digits in the correctly worked computation above, what is the value of a + 3 b?
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[Assistant] 11

[User]
if ( 5 - x ) / ( 7 + x ) = x, what is the value of x ^ 2 + 8 x - 5?
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[Assistant] 0

[User]
what percent is 300 gm of 1 kg?
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[Assistant] 30 %

[User]
a man two flats for $ 675958 each. on one he gains 11 % while on the other he loses 11 %. how much does he gain or lose in the whole transaction?
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[Assistant] 1.21 %


[User]
what is the ratio between perimeters of two squares one having 2 times the diagonal then the other?
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[Assistant] 2 : 1

[User]
richard traveled the entire 60 miles trip. if he did the first 2 miles of at a constant rate 24 miles per hour and the remaining trip of at a constant rate 48 miles per hour, what is the his average speed, in miles per hour?
Answer the question using a single word or phrase.

[Assistant] 55 mph

[User]
a man ’ s current age is ( 2 / 5 ) of the age of his father. after 8 years, he will be ( 1 / 2 ) of the age of his father. what is the age of father at now?
Answer the question using a single word or phrase.

[Assistant] 40

[User]
a feed store sells two varieties of birdseed : brand a, which is 60 % millet and 40 % sunflower, and brand b, which is 65 % millet and 35 % safflower. if a customer purchases a mix of the two types of birdseed that is 50 % millet, what percent of the mix is brand a?
Answer the question using a single word or phrase.

[Assistant] 60 %

[User]
if the cost price of 30 articles is equal to the selling price of 45 articles, what is the % profit or loss made by the merchant?
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[Assistant] 33.33 % loss


[User]
the average age of 21 students of a class is 21 years. out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years, the age of the 21 th student is
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[Assistant] 164

[User]
the length of the bridge, which a train 180 meters long and travelling at 48 km / hr can cross in 70 seconds, is :
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[Assistant] 245

[User]
the average age of a group of 10 persons was decreased by 3 years when one person, whose age was 40 years, was replaced by a new person. find the age of the new person?
Answer the question using a single word or phrase.

[Assistant] 10

[User]
an error 12 % in excess is made while measuring the side of a square. now what is the percentage of error in the calculated area of the square?
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[Assistant] 25.44 %

[User]
the difference between a number and its two - fifth is 510. what is 30 % of that number?
Answer the question using a single word or phrase.

[Assistant] 255


[User]
john and jacob set out together on bicycle traveling at 18 and 15 miles per hour, respectively. after 40 minutes, john stops to fix a flat tire. if it takes john one hour to fix the flat tire and jacob continues to ride during this time, how many hours will it take john to catch up to jacob assuming he resumes his ride at 18 miles per hour? ( consider john's deceleration / acceleration before / after the flat to be negligible )
Answer the question using a single word or phrase.

[Assistant] 4 1 / 3

[User]
the volume of a certain substance is always directly proportional to its weight. if 48 cubic inches of the substance weigh 112 ounces, what is the volume, in cubic inches, of 56 ounces of this substance?
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[Assistant] 24

[User]
800 is increased by 110 %. find the final number.
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[Assistant] 1680

[User]
company kw is being sold, and both company a and company b were considering the purchase. the price of company kw is 40 % more than company a has in assets, and this same price is also 100 % more than company b has in assets. if companies a and b were to merge and combine their assets, the price of company kw would be approximately what percent of these combined assets?
Answer the question using a single word or phrase.

[Assistant] 82 %

[User]
if a : b = 2 : 3, b : c = 4 : 5 and c : d = 5 : 9 then a : d is equal to :
Answer the question using a single word or phrase.

[Assistant] 8 : 27


[User]
if an integer n is to be selected at random from 1 to 105, inclusive, what is probability n ( n + 1 ) will be divisible by 7?
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[Assistant] 2 / 7

[User]
two numbers are respectively 20 % and 50 % more than a third number. the ratio of the two numbers is
Answer the question using a single word or phrase.

[Assistant] 4 : 5

[User]
the sum of the first 50 positive even integers is 2,000. what is the sum of the odd integers from 101 to 200, inclusive?
Answer the question using a single word or phrase.

[Assistant] 8,050

[User]
what is the sum of all possible solutions to | x + 3 | ^ 2 + | x + 3 | = 20?
Answer the question using a single word or phrase.

[Assistant] 7

[User]
a small pool filled only with water will require an additional 800 gallons of water in order to be filled to 80 % of its capacity. if pumping in these additional 800 gallons of water will increase the amount of water in the pool by 30 %, what is the total capacity of the pool in gallons?
Answer the question using a single word or phrase.

[Assistant] 2250


[User]
the average height of 35 boys in a class was calculated as 184 cm. it has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. find the actual average height of the boys in the class ( round off your answer to two decimal places ).?
Answer the question using a single word or phrase.

[Assistant] 182.29 cm

[User]
all the students of class are told to sit in circle shape. here the boy at the 7 th position is exactly opposite to 27 th boy. total number of boys in the class?
Answer the question using a single word or phrase.

[Assistant] 40

[User]
on my sister's birthday, she was 132 cm in height, having grown 10 % since the year before. how tall was she the previous year?
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[Assistant] 120 cm

[User]
a $ 72.95 lawn chair was sold for $ 59.95 at a special sale. by approximately what percent was the price decreased?
Answer the question using a single word or phrase.

[Assistant] 18 %

[User]
if shares of two persons in profits are rs. 400 and rs. 800 then ratio of their capitals is
Answer the question using a single word or phrase.

[Assistant] 1 : 2


[User]
if an investor puts $ 1000 in a savings account that earns 10 percent annual interest compounded semiannually, how much money will be in the account after one year?
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[Assistant] $ 1102.50

[User]
at an international conference, “ red ” world countries and “ blue ” world countries are the only participants. the ratio of “ red ” world participants to “ blue ” world participants is 7 : 3. if one - third of “ red ” world participants are left - handed and two - thirds of “ blue ” world participants are left - handed, then what is the fraction of the participants who are left - handed?
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[Assistant] 13 / 30

[User]
a reduction of 23 % in the price of salt enables a lady to obtain 10 kgs more for rs. 100, find the original price per kg?
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[Assistant] s. 2.99

[User]
if 60 % of a number is greater than 30 % of 10 by 27, what is the number?
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[Assistant] 50

[User]
how many integers from 0 to 53, inclusive, have a remainder of 1 when divided by 3?
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[Assistant] 18


[User]
a farmer with 1,350 acres of land had planted his fields with corn, sugar cane, and tobacco in the ratio of 5 : 2 : 2, respectively, but he wanted to make more money, so he shifted the ratio to 2 : 4 : 3, respectively. how many more acres of land were planted with tobacco under the new system?
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[Assistant] 150

[User]
( 0.96 ) ( power 3 ) - ( 0.1 ) ( power 3 ) / ( 0.96 ) ( power 2 ) + 0.096 + ( 0.1 ) ( power 2 ) is :
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[Assistant] 0.86

[User]
a metal company's old machine makes bolts at a constant rate of 100 bolts per hour. the company's new machine makes bolts at a constant rate of 150 bolts per hour. if both machines start at the same time and continue making bolts simultaneously, how many minutes will it take the two machines to make a total of 450 bolts?
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[Assistant] 108

[User]
a man's speed with the current is 21 km / hr and the speed of the current is 2.5 km / hr. the man's speed against the current is?
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[Assistant] 16

[User]
a train 275 m long, running with a speed of 90 km / hr will pass a tree in
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[Assistant] 11 sec


[User]
the population of locusts in a certain swarm doubles every two hours. if 4 hours ago there were 1,000 locusts in the swarm, in approximately how many hours will the swarm population exceed 256,000 locusts?
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[Assistant] 12

[User]
there are 2 white plates, 6 green plates, 8 red plates, 4 pink plates, and 10 purple plates in the cabinet. what is the least number of plates that you have to pull out to make sure that you will have a matching pair? ( assume that all the plates are identical except for the color )
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[Assistant] 6

[User]
the smallest number which when diminished by 7, is divisible by 12, 16, 18, 21 and 28 is
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[Assistant] 1015

[User]
from january 1, 1991, to january 1, 1993, the number of people enrolled in health maintenance organizations increased by 15 percent. the enrollment on january 1, 1993, was 45 million. how many million people, to the nearest million, were enrolled in health maintenance organizations on january 1, 1991?
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[Assistant] 39

[User]
salesperson a's compensation for any week is $ 360 plus 8 percent of the portion of a's total sales above $ 1,000 for that week. salesperson b's compensation for any week is 8 percent of a's total sales for that week. for what amount of total weekly sales would both salepeople earn the same compensation?
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[Assistant] $ 7,750


[User]
a train 220 m long is running with a speed of 60 km / hr. in what time will it pass a man who is running at 4 km / hr in the direction opposite to that in which the train is going?
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[Assistant] 12

[User]
what is the dividend. divisor 14, the quotient is 12 and the remainder is 8
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[Assistant] 176

[User]
jhon works for 60 days. for the day he is present he is paid 7.00 / - and for the day he is absent he is paid 3.00 / - per day. if he is paid 170 / -. how many days he is present.
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[Assistant] 35

[User]
what is the smallest no. that should be added to 31110 to make it exactly divisible by 9?
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[Assistant] 3

[User]
a statue is being carved by a sculptor. the original piece of marble weighed 140 kg. in the first week 60 percent is cut away. in the second week 40 percent of the remainder is cut away. in the third week the statue is completed when 30 percent of the remainder is cut away. what is the weight of the final statue?
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[Assistant] 24 kg


[User]
if each participant of a chess tournament plays exactly one game with each of the remaining participants, then 171 games will be played during the tournament. what is the number of participants?
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[Assistant] 19

[User]
if the mean of numbers 28, x, 50, 78 and 104 is 62, what is the mean of 48, 62, 98, 124 and x?
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[Assistant] 76.5

[User]
john makes $ 60 a week from his job. he earns a raise andnow makes $ 68 a week. what is the % increase?
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[Assistant] 13.33 %

[User]
what will be the compound interest on a sum of rs. 24,000 after 3 years at the rate of 12 % p. a.?
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[Assistant] rs. 9718.27

[User]
a man can row 36 kmph in still water. it takes him thrice as long to row up as to row down the river. find the rate of the stream?
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[Assistant] 18 kmph


[User]
the units digit of ( 35 ) ^ ( 87 ) + ( 93 ) ^ ( 51 ) is :
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[Assistant] 2

[User]
how many multiples of 5 are there between 5 to 75?
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[Assistant] 13

[User]
to be considered for “ movie of the year, ” a film must appear in at least 1 / 4 of the top - 10 - movies lists submitted by the cinematic academy ’ s 765 members. what is the smallest number of top - 10 lists a film can appear on and still be considered for “ movie of the year ”?
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[Assistant] 192

[User]
a box measuring 24 inches long by 40 inches wide by 16 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] 30

[User]
there are 11 baskets numbered from 1 to 11 and filled with apples. 10 children are asked to pick apples one by one from each basket such that the number of apples picked by each child from each basket is equal to the number marked on the basket. if there were 1000 apples in total and the baskets were filled in such a way that none of the basket became empty in the process, how many apples were left in the end?
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[Assistant] 340


[User]
two vessels having volumes in the ratio 3 : 5 are filled with water and milk solutions. the ratio of milk and water in the two vessels are 3 : 1 and 6 : 4 respectively. if the contents of both the vessel are empties into a larger vessel, find the ratio of milk and water in the larger vessel.
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[Assistant] 21 : 11

[User]
suzie ’ s discount footwear sells all pairs of shoes for one price and all pairs of boots for another price. on monday the store sold 22 pairs of shoes and 16 pairs of boots for $ 508. on tuesday the store sold 8 pairs of shoes and 32 pairs of boots for $ 656. how much more do pairs of boots cost than pairs of shoes at suzie ’ s discount footwear?
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[Assistant] 8

[User]
a rectangular block 10 cm by 20 cm by 35 cm is cut into an exact number of equal cubes. find the least possible number of cubes?
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[Assistant] 56

[User]
the scoring system in a certain football competition goes as follows : 3 points for victory, 1 point for a draw, and 0 points for defeat. each team plays 20 matches. if a team scored 5 points after 5 games, what is the least number of the remaining matches it has to win to reach the 40 - point mark by the end of the tournament?
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[Assistant] 10

[User]
if a lends rs. 2000 to b at 10 % per annum and b lends the same sum to c at 11.5 % per annum then the gain of b in a period of 3 years is?
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[Assistant] 90


[User]
the time taken by mr. dhoni to row his boat upstream is twice the time taken by him to row the same distance downstream. if the speed of the boat in still water is 72 kmph, find the speed of the stream?
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[Assistant] 24 kmph

[User]
a math teacher has 24 cards, each of which is in the shape of a geometric figure. half of the cards are rectangles, and a third of the cards are rhombuses. if 8 cards are squares, what is the maximum possible number of cards that re circles.
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[Assistant] 7

[User]
increasing the original price of a certain item by 15 percent and then increasing the new price by 15 percent is equivalent to increasing the original price by what percent?
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[Assistant] 32.25

[User]
if a number n is chosen at random from the set of two - digit integers whose digits are both prime numbers, what is the probability t that n is divisible by 3?
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[Assistant] 5 / 16

[User]
raj invests a part of rs. 12000 in 12 % stock at rs. 120 and the remainder in 15 % stock at rs. 125. if his total dividend per annum is rs. 1360, how much does he invest in 12 % stock at rs. 120?
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[Assistant] 4000


[User]
if 42.24 = k ( 14 + m / 50 ), where k and m are positive integers and m < 50, then what is the value of k + m?
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[Assistant] 7

[User]
an engineer designed a ball so that when it was dropped, it rose with each bounce exactly one - half as high as it had fallen. the engineer dropped the ball from a 14 - meter platform and caught it after it had traveled 41.7 meters. how many times did the ball bounce?
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[Assistant] 6

[User]
a and b are two partially filled buckets of water. if 2 liters are transferred from a to b, then a would contain one - third of the amount of water in b. alternatively, if 2 liters are transferred from b to a, b would contain one - half of the amount of water in a. bucket a contains how many liters of water?
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[Assistant] 22 / 5

[User]
the reciprocal of the hcf and lcm of two are 1 / 14 and 1 / 312. if one of the number is 24 then other no. is
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[Assistant] 182

[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 30 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] 30


[User]
one side of a rectangular field is 15 m and one of its diagonal is 17 m. find the area of field?
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[Assistant] 120

[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 21 liters of forest green to change it to verdant green?
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[Assistant] 7

[User]
mr. evans will states that each of his children will receive an equal share of his estate and that his grandchildren will split a portion of the estate that is equal to the share received by each of his children. if mr. evans has 4 children and 6 grandchildren, then approximately what percentage of mr. evans estate will each grandchild receive?
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[Assistant] 3.3 %

[User]
a and b invests rs. 4000 and rs. 6000 in a business. after 4 months, a withdraws three - fourth of his capital and 4 months later, b withdraws half of his capital. in what ratio should they share the profits at the end of the year?
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[Assistant] 2 : 5

[User]
a trader marked the selling price of an article at 10 % above the cost price. at the time of selling, he allows certain discount and suffers a loss of 1 %. he allowed a discount of :
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[Assistant] 10 %


[User]
a goods train runs at the speed of 72 kmph and crosses a 280 m long platform in 26 seconds. what is the length of the goods train?
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[Assistant] 240 m

[User]
two cars start at the same time from opposite ends of a highway that is 500 miles long. one car is riding at 40 mph and the second car is riding at 60 mph. how long after they begin will they meet?
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[Assistant] 5

[User]
linda spent 2 / 3 of her savings on furniture and the rest on a tv. if the tv cost her $ 250, what were her original savings?
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[Assistant] $ 750

[User]
in an election only two candidates contested. a candidate secured 70 % of the valid votes and won by a majority of 188 votes. find the total number of valid votes?
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[Assistant] 470

[User]
in a classroom, 12 students brought apples and 8 students brought bananas. if exactly 10 students brought only one of the two types of fruits, how many students brought both types of fruits?
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[Assistant] 5


[User]
the average ( arithmetic mean ) of the even integers from 20 to 60 inclusive is how much greater than the average ( arithmetic mean ) of the even integers from 10 to 140 inclusive?
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[Assistant] 35

[User]
ratio between rahul and deepak is 4 : 3, after 6 years rahul age will be 26 years. what is deepak present age.
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[Assistant] 15

[User]
train a leaves the station traveling at 30 miles per hour. two hours later train в leaves the same station traveling in the same direction at 38 miles per hour. how many miles from the station was train a overtaken by train b?
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[Assistant] 285

[User]
the length of a rectangular floor is more than its breadth by 200 %. if rs. 100 is required to paint the floor at the rate of rs. 2 per sq m, then what would be the length of the floor?
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[Assistant] 12.25

[User]
if | x + 10 | = 10 what is the sum of all the values of x.
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[Assistant] - 20


[User]
anne bought doughnuts for a class breakfast party. she bought 12 chocolate doughnuts, 12 coconut doughnuts, and 10 jam - filled doughnuts. how many doughnuts did anne buy in all?
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[Assistant] 34

[User]
a bowl was filled with 10 ounces of water, and 0.014 ounce of the water evaporated each day during a 50 - day period. what percent of the original amount of water evaporated during this period?
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[Assistant] 7 %

[User]
a and b play a game where each is asked to select a number from 1 to 16. if the two numbers match, both of them win a prize. find the probability that they will not win a prize in a single trial.
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[Assistant] 15 / 16

[User]
a family pays $ 700 per year for an insurance plan that pays 60 percent of the first $ 1,000 in expenses and 100 percent of all medical expenses thereafter. in any given year, the total amount paid by the family will equal the amount paid by the plan when the family's medical expenses total how much?
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[Assistant] $ 1,500

[User]
the price of commodity x increases by 30 cents every year, while the price of commodity y increases by 20 cents every year. if in 2001, the price of commodity x was $ 4.20 and the price of commodity y was $ 4.50, in which year will commodity x cost 90 cents more than the commodity y?
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[Assistant] 2013


[User]
there are 20 poles with a constant distance between each pole. a car takes 20 second to reach the 12 th pole. how much will it take to reach the last pole.
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[Assistant] 34.5455

[User]
for any positive integer n, the sum of the first n positive integers equals n ( n + 1 ) / 2. what is the sum of all the even integers between 99 and 301?
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[Assistant] 20,200

[User]
what percent of 500 is 125?
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[Assistant] 25 %

[User]
a number is increased by 40 % and then decreased by 40 %. find the net increase or decrease per cent.
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[Assistant] 16 %

[User]
a man buys an article for $ 20. and sells it for $ 25. find the gain percent?
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[Assistant] 25 %


[User]
add 20 % of 40 and 25 % of 60.
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[Assistant] 23

[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 40 grades are d's. what is the number of students in the course?
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[Assistant] 800

[User]
the scoring system in a certain football competition goes as follows : 3 points for victory, 1 point for a draw, and 0 points for defeat. each team plays 20 matches. if a team scored 8 points after 5 games, what is the least number of the remaining matches it has to win to reach the 40 - point mark by the end of the tournament?
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[Assistant] 9

[User]
what least number must be subtracted from 427398 so that remaining no. is divisible by 12
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[Assistant] 6

[User]
charges made by two companies for the same a / c company xcompany y price $ 575 $ 530 surcharge as a percent of price 4 % 3 % installation charge $ 82.50 $ 93.00 the table above shows the various charges made by two companies for the same air conditioner. what is the total amount that can be saved on the purchase and installation of the air conditioner by dealing with the company that offers the lower total charge?
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[Assistant] $ 41.60


[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 49 hours and 25 hours respectively. the ratio of their speeds is?
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[Assistant] 5 : 7

[User]
the area of a square is equal to 2 times the area of a rectangle of dimensions 8 cm * 64 cm. what is the perimeter of the square?
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[Assistant] 128

[User]
total dinning bill for 6 people was $ 211.00. if they add 15 % tip and divided the bill evenly, approximate. what was each persons find share
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[Assistant] 40.44

[User]
there are 7 baskets numbered from 1 to 7 and filled with apples. 10 children are asked to pick apples one by one from each basket such that the number of apples picked by each child from each basket is equal to the number marked on the basket. if there were 1000 apples in total and the baskets were filled in such a way that none of the basket became empty in the process, how many apples were left in the end?
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[Assistant] 720

[User]
there are 400 female managers in a certain company. find the total number of female employees in the company, if 2 / 5 of all the employees are managers and 2 / 5 of all male employees are managers.
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[Assistant] 1000


[User]
a and b together can do a work in 6 days. if a alone can do it in 42 days. in how many days can b alone do it?
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[Assistant] 7

[User]
a bucket full of nuts was discovered by the crow living in the basement. the crow eats a fifth of the total number of nuts in 8 hours. how many hours in total will it take the crow to finish a quarter of the nuts?
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[Assistant] 10

[User]
if all the numbers between 11 and 100 are written on a piece of paper. how many times will the number 4 be used?
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[Assistant] 87

[User]
when asked what the time is, a person answered that the amount of time left is 2 / 6 of the time already completed. what is the time.
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[Assistant] 6 pm

[User]
a walks at 10 kmph and 7 hours after his start, b cycles after him at 20 kmph. how far from the start does b catch up with a?
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[Assistant] 140 km


[User]
how many distinct integer values of n satisfy the inequality | | n - 3 | + 2 | ≤ 12?
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[Assistant] 12

[User]
if a = 105 and a ^ 3 = 21 * 35 * 45 * b, what is the value of b?
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[Assistant] 35

[User]
a thief is spotted by a policeman from a distance of 175 meters. when the policeman starts the chase, the thief also starts running. if the speed of the thief be 8 km / hr and that of the policeman 10 km / hr, how far the thief will have run before he is overtaken?
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[Assistant] 700 m

[User]
in an election between two candidates, one got 60 % of the total valid votes, 20 % of the votes were invalid. if the total number of votes was 2000, the number of valid votes that the other candidate got, was :
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[Assistant] 800

[User]
a semicircle has a radius of 20. what is the approximate perimeter of the semicircle?
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[Assistant] 102


[User]
amar takes as much time in running 18 meters as a car takes in covering 48 meters. what will be the distance covered by amar during the time the car covers 1.5 km?
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[Assistant] 375 m

[User]
a prize of $ 400 is to be distributed among 20 winners, each of whom must be awarded at least $ 20. if 2 / 5 of the prize will be distributed to 3 / 5 of the winners, what is the greatest possible individual award?
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[Assistant] $ 100

[User]
the average height of 35 boys in a class was calculated as 181 cm. it has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. find the actual average height of the boys in the class ( round off your answer to two decimal places ).?
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[Assistant] 179.29 cm

[User]
if 10 typists can type 20 letters in 20 minutes, then how many letters will 40 typists working at the same rate complete in 1 hour?
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[Assistant] 240

[User]
john and steve are speed walkers in a race. john is 16 meters behind steve when he begins his final push. john blazes to the finish at a pace of 4.2 m / s, while steve maintains a blistering 3.7 m / s speed. if john finishes the race 2 meters ahead of steve, how long was john ’ s final push?
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[Assistant] 36 seconds


[User]
a lady builds 9 cm length, 12 cm width, and 3 cm height box using 3 cubic cm cubes. what is the minimum number of cubes required to build the box?
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[Assistant] 108

[User]
dan ’ s car gets 32 miles per gallon. if gas costs $ 4 / gallon, then how many miles can dan ’ s car go on $ 58 of gas?
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[Assistant] 464

[User]
of the two - digit positive integers that have no digits equal to zero, how many have two digits that are equal to each other and the remaining digit different from the other two?
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[Assistant] 9

[User]
. 3 + 33 + 333 + 33.3 =?
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[Assistant] 399.6

[User]
if a certain number x is divided by 82, the reminder is 5. what is the reminder when x + 17 is divided by 41?
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[Assistant] 22


[User]
at a certain fruit stand, the price of each apple is 40 cents and the price of each orange is 60 cents. mary selects a total of 15 apples and oranges from the fruit stand, and the average ( arithmetic mean ) price of the 15 pieces of fruit is 48 cents. how many oranges must mary put back so that the average price of the pieces of fruit that she keeps is 45 cents?
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[Assistant] 3

[User]
on the richter scale, which measures the total amount of energy released during an earthquake, a reading of x - 1 indicates one - tenth the released energy as is indicated by a reading of x. on that scale, the frequency corresponding to a reading of 5 is how many times as great as the frequency corresponding to a reading of 3?
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[Assistant] 100

[User]
the balance of a trader weighs 8 % less than it should. still the trader marks up his goods to get an overall profit of 30 %. what is the mark up on the cost price?
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[Assistant] 19 %

[User]
115 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] 46 liters

[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. 1406?
Answer the question using a single word or phrase.

[Assistant] s. 95


[User]
efrida and frazer who live 10 miles apart, meet at a restaurant that is directly north of efrida's home and directly east of frazer's home. if the restaurant is four miles closer to efrida's home, than to frazer's home, how many miles is the restaurant from frazer's home?
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[Assistant] 6

[User]
2 / [ ( 1 / 0.03 ) + ( 1 / 0.37 ) ] =?
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[Assistant] 0.05555

[User]
if p ( a ) = 4 / 7 and p ( b ) = 2 / 5, find p ( a n b ) if a and b are independent events.
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[Assistant] 8 / 35

[User]
bottle r contains 250 capsules and costs $ 6.25. bottle t contains 100 capsules and costs $ 3.0. what is the difference between the cost per capsule for bottle r and the cost per capsule for bottle t?
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[Assistant] $ 0.005

[User]
for what value of “ k ” will the equation ( 2 kx 2 + 5 kx + 2 ) = 0 have equal roots?
Answer the question using a single word or phrase.

[Assistant] 16 / 25


[User]
the weight of a hollow sphere is directly dependent on its surface area. the surface area of a sphere is 4 π · r ^ 2, where r is the radius of the sphere. if a hollow sphere of radius 0.15 cm made of a certain metal weighs 8 grams, a hollow sphere of radius 0.3 cm made of the same metal would weigh how many grams w?
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[Assistant] w = 32

[User]
it takes 30 days to fill a laboratory dish with bacteria. if the size of the bacteria doubles each day, how long did it take for the bacteria to fill one sixteenth of the dish?
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[Assistant] 26 days

[User]
some persons can do a piece of work in 8 days. two times the number of these people will do half of that work in?
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[Assistant] 2

[User]
( 1000 ) 7 ÷ ( 10 ) 18 =?
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[Assistant] 1000

[User]
the length of a rectangular garden is 2 feet longer than 3 times its width. if the perimeter of the garden is 100 feet, find the width and the length of the garden.
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[Assistant] 100


[User]
if a certain toy store's revenue in november was 3 / 5 of its revenue in december and its revenue in january was 1 / 6 of its revenue in november, then the store's revenue in december was how many times the average ( arithmetic mean ) of its revenues in november and january?
Answer the question using a single word or phrase.

[Assistant] 20 / 7

[User]
mahesh marks an article 15 % above the cost price of rs. 540. what must be his discount percentage if he sells it at rs. 462?
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[Assistant] 25.6 %

[User]
the cost price of an book is 64 % of the marked price. calculate the gain percent after allowing a discount of 16 %?
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[Assistant] 31.25 %

[User]
what is the value of 3 x ^ 2 − 1.8 x + 0.8 for x = 0.6?
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[Assistant] 0.8

[User]
a money lender finds that due to a fall in the annual rate of interest from 8 % to 7 3 / 4 % his yearly income diminishes by rs. 64.50, his capital is?
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[Assistant] 25,800


[User]
what is the sum of all digits for the number 10 ^ 27 - 48?
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[Assistant] 232

[User]
what is the units digit of ( 493 ) ( 913 ) ( 381 ) ( 756 ) ( 29 )
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[Assistant] 3

[User]
the greatest number which on dividing 1557 and 2037 leaves remainders 7 and 5 respectively, is :
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[Assistant] 2

[User]
what profit percent is made by selling an article at a certain price, if by selling at 2 / 3 rd of that price, there would be a loss of 14 %?
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[Assistant] 29 %

[User]
p and q can complete a work in 10 days and 6 days respectively. p alone started the work and q joined him after 2 days till the completion of the work. how long did the work last?
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[Assistant] 5 days


[User]
david is 18 years older than his daughter rosy. in 6 years david will be twice as old as rosy. what is rosy current age.
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[Assistant] 12

[User]
you collect pens. suppose you start out with 20. mike gives you another 22 pens. since her father makes pens, cindy decides to double your pens. since you're nice, you give sharon 19 pens. how many pens do you have at the end?
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[Assistant] 65

[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 210 - mile journey? assume that the train makes no intermediate stops.
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[Assistant] 6

[User]
sarah is driving to the airport. after driving at 40 miles per hour for one hour, she realizes that if she continues at that same average rate she will be an hour late for her flight. she then travels 50 miles per hour for the rest of the trip, and arrives 30 minutes before her flight departs. how many miles did she drive in all?
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[Assistant] 340

[User]
the sum of the 1 st and 3 rd of 3 consecutive odd integers is 131 less than 3 times the second integer. find the 3 integers?
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[Assistant] 133


[User]
the average ( arithmetic mean ) of 20, 40, and 60 is 4 more than the average of 10, 70, and what number?
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[Assistant] 28

[User]
what is the least number. which should be added to 221 to make it a perfect square?
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[Assistant] 4

[User]
when positive integer n is divided by positive integer j, the remainder is 42. if n / j = 204.07, what is value of j?
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[Assistant] 600

[User]
8796 x 223 + 8796 x 77 =?
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[Assistant] 2738800

[User]
an agent, gets a commission of 5 % on the sales of cloth. if on a certain day, he gets rs. 12.50 as commission, the cloth sold through him on that day is worth
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[Assistant] 250


[User]
121 x 5 ^ 4 =?
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[Assistant] 75625

[User]
the number n is h, 284, where h represents the 10's digit. if n is divisible by 6, what is the value of h?
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[Assistant] 1

[User]
a 360 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. what is the length of the other train?
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[Assistant] 140 meter

[User]
how long does a train 100 m long traveling at 54 kmph takes to cross a station of 250 m in length?
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[Assistant] 23 sec

[User]
a certain store sells all maps at one price and all books at another price. on monday the store sold 9 maps and 6 books for a total of $ 20.00, and on tuesday the store sold 9 maps and 8 books for a total of $ 30.00. at this store, how much less does a map sell for than a book?
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[Assistant] $ 3.9


[User]
one fourth of a solution that was 22 % sugar by weight was replaced by a second solution resulting in a solution that was 35 percent sugar by weight. the second solution was what percent sugar by weight?
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[Assistant] 74 %

[User]
if 2994 ã · 14.5 = 171, then 29.94 ã · 1.45 =?
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[Assistant] 17.1

[User]
when positive integer n is divided by positive integer j, the remainder is 27. if n / j = 204.09, what is value of j?
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[Assistant] 300

[User]
there are 840 male and female participants in a meeting. half the female participants and one - quarter of the male participants are democrats. one - third of all the participants are democrats. how many of the democrats are female?
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[Assistant] 140

[User]
p alone can complete a job in 7 days. the work done by q alone in one day is equal to one - sixth of the work done by p alone in one day. in how many days can the work be completed if p and q work together?
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[Assistant] 6


[User]
there are 4 members in a family. their average income is rs. 10000 per month. 3 members get rs. 8000, rs. 15000, rs. 6000 respectively. therefore what is the income of the fourth member of the family?
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[Assistant] rs. 11000

[User]
if ( 3 / 2 ) x - 3 = 15 what is the value of x?
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[Assistant] 12

[User]
a man can row 8 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. how far is the place?
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[Assistant] 3.68

[User]
a and b invests rs. 3000 and rs. 8000 respectively in a business. if a doubles his capital after 6 months. in what ratio should a and b divide that year's profit?
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[Assistant] 9 : 16

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


[User]
the price of a bushel of corn is currently $ 3.20, and the price of a peck of wheat is $ 9.80. the price of corn is increasing at a constant rate of 5 x cents per day while the price of wheat is decreasing at a constant rate of x ( 2 ^ 1 / 2 ) - x cents per day. what is the approximate price when a bushel of corn costs the same amount as a peck of wheat?
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[Assistant] $ 9.30

[User]
how many two - element subsets of { 1,2, 3,4 } are there that do not contain the pair of elements 2 and 4?
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[Assistant] five

[User]
at a certain resort, each of the 39 food service employees is trained to work in a minimum of 1 restaurant and a maximum of 3 restaurants. the 3 restaurants are the family buffet, the dining room, and the snack bar. exactly 19 employees are trained to work in the family buffet, 16 are trained to work in the dining room, and 12 are trained to work in the snack bar. if 4 employees are trained to work in exactly 2 restaurants, how many employees are trained to work in all 3 restaurants?
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[Assistant] 2

[User]
for any number z, z * is defined as the greatest positive even integer less than or equal to z. what is the value of 5.2 – 5.2 *?
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[Assistant] 1.2

[User]
if $ 5,000 is invested in an account at a simple annual rate of r percent, the interest is $ 250. when $ 17,000 is invested at the same interest rate, what is the interest from the investment?
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[Assistant] $ 850


[User]
30 binders can bind 1400 books in 21 days. how many binders will be required to bind 1600 books in 20 days?
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[Assistant] 36

[User]
if the radius of a circle is decreased 30 %, what happens to the area?
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[Assistant] 51 % decrease

[User]
find the amount on rs. 5000 in 2 years, the rate of interest being 4 % per first year and 5 % for the second year?
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[Assistant] 5460

[User]
the average monthly salary of 8 workers and one supervisor in a factory was 430. @ sswhen @ ssthe @ sssupervisor @ cc @ sswhose @ sssalary @ sswas @ ss 430. @ sswhen @ ssthe @ sssupervisor @ cc @ sswhose @ sssalary @ sswas @ ss 430. whenthesupervisor, whosesalarywas 430. when the supervisor, whose salary was 870 per month, retired, a new person was appointed and then the average salary of 9 people was $ $ 410 per month. the salary of the new supervisor is :
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[Assistant] 690

[User]
if there are 4 peanuts in a box and mary puts 6 more peanuts inside, how many peanuts are in the box?
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[Assistant] 10


[User]
how many 3 digit positive integers exist that when divided by 7 leave a remainder of 5?
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[Assistant] 129

[User]
if ( 10 ^ 4 * 3.456789 ) ^ 9 is written as a single term, how many digits would be to the right of the decimal place?
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[Assistant] 18

[User]
if c is 30 % of a and 25 % of b, what percent of a is b?
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[Assistant] 120 %

[User]
find the principal which yields a simple interest of rs. 20 and compound interest of rs. 24 in two years, at the same percent rate per annum?
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[Assistant] s. 50

[User]
the moon revolves around the earth at a speed of approximately 0.9 kilometers per second. this approximate speed is how many kilometers per hour?
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[Assistant] 3240


[User]
john traveled 80 % of the way from yellow - town to green - fields by train at an average speed of 80 miles per hour. the rest of the way john traveled by car at an average speed of v miles per hour. if the average speed for the entire trip was 60 miles per hour, what is v in miles per hour?
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[Assistant] 30

[User]
the ratio of boarders to day students at a school was originally 5 to 12. however, after a number of new boarders join the initial 150 boarders, the ratio changed to 1 to 2. if no boarders became day students and vice versa, and no students left the school, how many new boarders joined the school?
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[Assistant] 30

[User]
divide rs. 1300 among a, b and c so that a receives 1 / 3 as much as b and c together and b receives 2 / 3 as a and c together. a's share is?
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[Assistant] 325

[User]
a boy is travelling from his home to school at 4 km / hr and reached 7 min late. next day he traveled at 8 km / hr and reached 8 min early. distance between home and school?
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[Assistant] 2 km

[User]
a, b and c, each working alone can complete a job in 2, 4 and 6 days respectively. if all three of them work together to complete a job and earn $ 2500, what will be c's share of the earnings?
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[Assistant] $ 1363.63


[User]
according to the direction on a can of frozen orange juice concentrate is to be mixed with 3 cans of water to make orange juice. how many 5 - ounce cans of the concentrate are required to prepare 200 6 - ounce servings of orange juice?
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[Assistant] 60

[User]
each of the 30 boxes in a certain shipment weighs either 10 pounds or 20 pounds, and the average ( arithmetic mean ) weight of the boxes in the shipment is 18 pounds. if the average weight of the boxes in the shipment is to be reduced to 16 pounds by removing some of the 20 - pound boxes, how many 20 - pound boxes must be removed?
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[Assistant] 15

[User]
two pipes can fill a tank in 18 minutes and 15 minutes. an outlet pipe can empty the tank in 54 minutes. if all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
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[Assistant] 6 minutes

[User]
how many bricks each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall 8 m x 6 m x 22.5 m
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[Assistant] 6400

[User]
a prize of $ 500 is to be distributed among 20 winners, each of whom must be awarded at least $ 20. if 2 / 5 of the prize will be distributed to 3 / 5 of the winners, what is the greatest possible individual award?
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[Assistant] $ 160


[User]
two trains, each 100 m long, moving in opposite directions, cross other in 8 sec. if one is moving twice as fast the other, then the speed of the faster train is? a. 30 km / hr b. 45 km / hr
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[Assistant] 60

[User]
a car going at 40 miles per hour set out on an 90 - mile trip at 9 : 00 a. m. exactly 10 minutes later, a second car left from the same place and followed the same route. how fast, in miles per hour, was the second car going if it caught up with the first car at 10 : 30 a. m.?
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[Assistant] 90

[User]
how many bricks each measuring 30 cm x 12 cm x 10 cm, will be needed to build a wall 6 m x 4 m x 20.5 m
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[Assistant] 1366

[User]
a, b and c can do a work in 6, 8 and 12 days respectively doing the work together and get a payment of rs. 1800. what is b ’ s share?
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[Assistant] 600

[User]
how many positive integers less than 50 have a reminder 01 when divided by 4?
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[Assistant] 13


[User]
the proportion of water to alcohol in solution a is 2 : 1 and the proportion of water to alcohol in solution b is 2 : 3. if an equal amount of each solution is mixed together, what is the concentration of alcohol in the new solution?
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[Assistant] 46.7 %

[User]
a worker makes a toy in every 2 h. if he works for 100 h, then how many toys will he make?
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[Assistant] 50

[User]
a book is bought for $ 32 and sold for $ 56. what is the profit in percentage?
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[Assistant] 75

[User]
an alloy weighing 24 ounces is 70 percent gold. how many ounces of pure gold must be added to create an alloy that is 90 percent gold?
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[Assistant] 48

[User]
the youngest of 4 children has siblings who are 3, 5, and 8 years older than she is. if the average ( arithmetic mean ) age of the 4 siblings is 20, what is the age of the youngest sibling?
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[Assistant] 16


[User]
on a map the distance between two mountains is 310 inches. the actual distance between the mountains is 136 km. ram is camped at a location that on the map is 34 inch from the base of the mountain. how many km is he from the base of the mountain?
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[Assistant] 14.91

[User]
brenda and sally run in opposite direction on a circular track, starting at diametrically opposite points. they first meet after brenda has run 100 meters. they next meet after sally has run 100 meters past their first meeting point. each girl runs at a constant speed. what is the length of the track in meters?
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[Assistant] 300

[User]
for the symbol, m ” n = n ^ 2 − m for all values of m and n. what is the value of 3 ” 3?
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[Assistant] 6

[User]
a river 3 m deep and 32 m wide is flowing at the rate of 2 kmph the amount of water that runs into the sea per minute is?
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[Assistant] 3200

[User]
a factory produces 7500 toys per week. if the workers at this factory work 5 days a week and if these workers make the same number of toys everyday, how many toys are produced each day?
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[Assistant] 1875 toys


[User]
a student chose a number, multiplied it by 4, then subtracted 142 from the result and got 110. what was the number he chose?
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[Assistant] 63

[User]
a merchant purchased a jacket for $ 56 and then determined a selling price that equalled the purchase price of the jacket plus a markup that was 30 percent of the selling price. during a sale, the merchant discounted the selling price by 20 percent and sold the jacket. what was the merchant ’ s gross profit on this sale?
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[Assistant] $ 8

[User]
a and b can do a piece of work in 3 days, b and c in 4 days, c and a in 6 days. how long will c take to do it?
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[Assistant] 24

[User]
how many seconds will a 500 meter long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr
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[Assistant] 30 seconds

[User]
the current in a river is 3 mph. a boat can travel 21 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] 102.8 miles


[User]
a cyclist rides a bicycle 7 km at an average speed of 10 km / hr and again travels 10 km at an average speed of 7 km / hr. what is the average speed for the entire trip?
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[Assistant] 7.99

[User]
a train 240 m long passed a pole in 24 sec. how long will it take to pass a platform 650 m long? a. 65
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[Assistant] 89 sec

[User]
if the radius of a circle that centers at the origin is 5, how many k points on the circle have integer coordinates?
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[Assistant] 12

[User]
1504 x 1504 =?
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[Assistant] 2262016

[User]
marcella has 23 pairs of shoes. if she loses 9 individual shoes, what is the greatest number of matching pairs she could have left?
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[Assistant] 18


[User]
a room 3 m 21 cm long and 7 m 77 cm broad is to be paved with square tiles. find the least number of square tiles required to cover the floor.
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[Assistant] 27713

[User]
a shopkeeper sold 15 articles at the cost price of 20 articles. then find the profit % or lost %
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[Assistant] 33.33 %

[User]
the price of 2 saris and 4 shirts is rs. 1600. with the same money one can buy 1 saree and 6 shirts. if one wants to buy 12 shirts, how much shall he have to pay?
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[Assistant] rs. 2400

[User]
two numbers are in ratio 4 : 5 and their lcm is 180. the smaller number is
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[Assistant] 36

[User]
if an object travels at two feet per second, how many feet does it travel in one hour?
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[Assistant] 7200


[User]
an apple orchard grows red and green apples. on the first day of harvest, 496 apples are collected. there are 3 times as many red apples as there are green apples. how many green apples were harvested?
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[Assistant] 124

[User]
what is the tenth digit to the right of the decimal point, in the decimal expansion of ( 1 / 5 ) ^ 10
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[Assistant] 4

[User]
100 liters of a mixture contains milk and water in the ratio 7 : 3. if 10 liters of this mixture be replaced by 10 liters of milk, the ratio of milk to water in the new mixture would be?
Answer the question using a single word or phrase.

[Assistant] 8 : 3

[User]
two vessels p and q contain 62.5 % and 87.5 % of alcohol respectively. if 2 litres from vessel p is mixed with 4 litres from vessel q, the ratio of alcohol and water in the resulting mixture is?
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[Assistant] 19 : 5

[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 36 / 49. how many marbles are in the bag?
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[Assistant] 84


[User]
288 ã ·? ã — 15 + 270 = 405
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[Assistant] 32

[User]
how many 4 digit numbers are there, if it is known that the first digit is even, the second is odd, the third is prime, the fourth ( units digit ) is divisible by 7, and the digit 2 can be used only once?
Answer the question using a single word or phrase.

[Assistant] 150

[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 8 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] $ 89.60

[User]
what is the remainder of g = 3 ^ 19 when divided by 10?
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[Assistant] 7

[User]
what is the value of ( log 2 3 ) ( log 3 4 ) ( log 4 5 )... ( log 63 64 )?
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[Assistant] 6


[User]
in a group of cows and chickens, the number of legs was 18 more than twice the number of heads. the number of cows was :
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[Assistant] 9

[User]
before leaving home for the town of madison, pete checks a map which shows that madison is 5 inches from his current location, gardensquare. pete arrives in madison 3.5 hours later and drove at an average speed of 60 miles per hour. at what scale, in inches per mile, is the map drawn?
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[Assistant] 1 / 42

[User]
what least number should be subtracted from 642 so that the remainder when divided by 5, 7, and 9 will leave in each case the same remainder 4?
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[Assistant] 8

[User]
9. on level farmland, two runners leave at the same time from the intersection of two country roads. one runner jogs due north at a constant rate of 8 miles per hour while the second runner jogs due east at a constant rate that is 6 miles per hour faster than the first runner's rate. how far apart, to the nearest mile, will they be after 1 / 2 hour?
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[Assistant] 8

[User]
a train 250 m long running at 72 kmph crosses a platform in 20 sec. what is the length of the platform?
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[Assistant] 150 m


[User]
raman's salary was decreased by 50 % and subsequently increased by 50 %. how much percent does he loss.
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[Assistant] 25

[User]
if 80 % of a number is equal to four - third of another number, what is the ratio of first number to the second number?
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[Assistant] 5 : 3

[User]
two pipes can fill a tank in 18 minutes and 15 minutes. an outlet pipe can empty the tank in 45 minutes. if all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
Answer the question using a single word or phrase.

[Assistant] 10 minutes

[User]
223.124 x 11.98 ã · 6.001 + 11.11 =?
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[Assistant] 457.358

[User]
pipe p can fill a tank in 6 hours, pipe q in 12 hours and pipe r in 24 hours. if all the pipes are open, in how many hours will the tank be filled?
Answer the question using a single word or phrase.

[Assistant] 3.4 hours


[User]
4 friends, peter, john, quincy, and andrew, are pooling their money to buy a $ 1200 item. peter has twice as much money as john. quincy has $ 20 more than peter. andrew has 15 % more than quincy. if they put all their money together and spend the $ 1200, they will have $ 11 left. how much money does peter have?
Answer the question using a single word or phrase.

[Assistant] $ 320

[User]
a man travelled from the village to the post - office at the rate of 25 kmph and walked back at the rate of 4 kmph. if the whole journey took 5 hours 48 minutes, find the distance of the post - office from the village
Answer the question using a single word or phrase.

[Assistant] 20

[User]
893.7 – 573.07 – 95.007 =?
Answer the question using a single word or phrase.

[Assistant] 225.623

[User]
one man traveled a distance of 61 km in 9 hrs. he traveled partly on footat 4 km / hr and partly on bicycle ta 9 km / hr. the distance traveled on foot is?
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[Assistant] 16 km

[User]
ramu bought an old car for rs. 42000. he spent rs. 13000 on repairs and sold it for rs. 64500. what is his profit percent?
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[Assistant] 17.3


[User]
in the coordinate plane, points ( x, 3 ) and ( 5, y ) are on line k. if line k passes through the origin and has slope 3 / 5, then x + y =
Answer the question using a single word or phrase.

[Assistant] 8

[User]
on a certain road 10 % of the motorists exceed the posted speed limit and receive speeding tickets, but 30 % of the motorists who exceed the posted speed limit do not receive speeding tickets. what percent of the motorists on the road exceed the posted speed limit?
Answer the question using a single word or phrase.

[Assistant] 14.28 %

[User]
a question paper has 2 parts, a & b, each containing 6 questions. if a student has to choose 4 from part a & 3 from part b, in how many ways can he choose the questions?
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[Assistant] 150

[User]
a man invests some money partly in 12 % stock at 132 and partly in 10 % stock at 80. to obtain equal dividends from both, he must invest the money in the ratio :
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[Assistant] 11 : 8

[User]
george baked a total of 150 pizzas for 7 straight days, beginning on saturday. he baked 3 / 5 of the pizzas the first day, and 3 / 5 of the remaining pizzas the second day. if each successive day he baked fewer pizzas than the previous day, what is the maximum number of pizzas he could have baked on wednesday?
Answer the question using a single word or phrase.

[Assistant] 6


[User]
a train 200 m long is running at a speed of 68 kmph. how long does it take to pass a man who is running at 8 kmph in the same direction as the train?
Answer the question using a single word or phrase.

[Assistant] 12 sec

[User]
at veridux corporation, there are 200 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] 65

[User]
find the value of ( √ 1.21 ) / ( √ 0.81 ) + ( √ 1.44 ) / ( √ 0.49 ) is
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[Assistant] 185 / 63

[User]
the units digit of ( 35 ) ^ ( 87 ) + ( 93 ) ^ ( 49 ) is :
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[Assistant] 8

[User]
a circle in the coordinate plane passes through points ( - 3, - 2 ) and ( 2, 4 ). what is the smallest possible area of that circle?
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[Assistant] 15.25 π


[User]
a 6 - liter solution is 35 % alcohol. how many liters of pure alcohol must be added to produce a solution that is 50 % alcohol?
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[Assistant] 1.8

[User]
46 x 46 =?
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[Assistant] 2116

[User]
if a * b * c = 130, b * c * d = 65, c * d * e = 1000 and d * e * f = 250 the ( a * f ) / ( c * d ) =?
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[Assistant] 1 / 2

[User]
calculate the largest 5 digit number which is exactly divisible by 77?
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[Assistant] 99946

[User]
working at a constant rate, p can finish a job in 4 hours. q, also working at a constant rate, can finish the same job in 20 hours. if they work together for 3 hours, how many more minutes will it take p to finish the job, working alone at his constant rate?
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[Assistant] 24


[User]
two stations p and q are 290 km apart on a straight track. one train starts from p at 7 a. m. and travels towards q at 20 kmph. another train starts from q at 8 a. m. and travels towards p at a speed of 25 kmph. at what time will they meet?
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[Assistant] 2 pm

[User]
free notebooks were distributed in a class among all the students. each student got notebooks which were 1 / 8 th of the number of student. if number of student been half, then each child would have received 16 notebooks in total. find the total number of books distributed among students?
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[Assistant] 512

[User]
what is the least number to be subtracted from 990 to make it a perfect square?
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[Assistant] 90

[User]
jean drew a gumball at random from a jar of pink and blue gumballs. since the gumball she selected was blue and she wanted a pink one, she replaced it and drew another. the second gumball also happened to be blue and she replaced it as well. if the probability of her drawing the two blue gumballs was 16 / 36, what is the probability that the next one she draws will be pink?
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[Assistant] 1 / 3

[User]
if x is a sum of all even integers on the interval 13... 65 and y is their number, what is the gcd ( x, y )?
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[Assistant] 26


[User]
a child want to buy 5 new toys. if there are 15 toys that satisfy the child's criteria, in how many different ways can the child select the 5 new toys if the order of selection does n't matter.
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[Assistant] 3003

[User]
two boys started running simultaneously around a circular track of length 4800 m from the same point at speeds of 60 km / hr and 100 km / hr. when will they meet for the first time any where on the track if they are moving in opposite directions?
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[Assistant] 108

[User]
a contractor is engaged for 30 days on the condition that he receives rs. 25 for each dayhe works & is fined rs. 7.50 for each day is absent. he gets rs. 425 in all. for how many dayswas he absent?
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[Assistant] 10

[User]
the amount of an investment will double in approximately 70 / p years, where p is the percent interest, compounded annually. if thelma invests $ 40,000 in a long - term cd that pays 5 percent interest, compounded annually, what will be the approximate total value of the investment when thelma is ready to retire 28 years later?
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[Assistant] $ 160,000

[User]
in what time will two trains cross each other completely, which are running on the same parallel lines in opposite directions, each 100 m in length both trains running with a speed of 80 kmph?
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[Assistant] 4.5 sec


[User]
the profit earned by selling an article for 892 is equal to the loss incurred when the same article is sold for 448. what should be the sale price of the article for making 50 per cent profit?
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[Assistant] 1005

[User]
a certain sum is invested at simple interest at 15 % p. a. for two years instead of investing at 12 % p. a. for the same time period. therefore the interest received is more by rs. 720. find the sum?
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[Assistant] s. 12000

[User]
fox jeans regularly sell for $ 15 a pair and pony jeans regularly sell for $ 18 a pair. during a sale these regular unit prices are discounted at different rates so that a total of $ 4 is saved by purchasing 5 pairs of jeans : 3 pairs of fox jeans and 2 pairs of pony jeans. if the sum of the two discounts rates is 18 percent, what is the discount rate on pony jeans?
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[Assistant] 45 %

[User]
meena wrote all the numbers from 1 to 69,999 inclusive. how many digits did she write in total?
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[Assistant] 338,889

[User]
a hall is 15 m long and 12 m broad. if the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is
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[Assistant] 1200


[User]
if f ( x ) = 2 x ^ 2 + y, and f ( 2 ) = 100, what is the value of f ( 5 )?
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[Assistant] 142

[User]
a sum of rs. 2717 is lent into two parts so that the interest on the first part for 8 years at 3 % per annum may be equal to the interest on the second part for 3 years at 5 % per annum. find the second sum?
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[Assistant] 1672

[User]
if 35 % 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] 572

[User]
in a sample of 800 high school students in which all students are either freshmen, sophomores, juniors, or seniors, 28 percent are juniors and 75 percent are not sophomores. if there are 160 seniors, how many more freshmen than sophomores are there among the sample of students?
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[Assistant] 16

[User]
a sum of rs. 1700 has been divided among a, b and c such that a gets of what b gets and b gets of what c gets. b ’ s share is :
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[Assistant] rs. 300


[User]
on a certain island, 5 % of the 10000 inhabitants are one - legged and half of the others go barefooted. what is the least number of shoes needed in the island?
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[Assistant] 10000

[User]
a person borrows rs. 9000 for 2 years at 4 % p. a. simple interest. he immediately lends it to another person at 6 p. a for 2 years. find his gain in the transaction per year.
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[Assistant] 180 rs

[User]
a tank holds x gallons of a saltwater solution that is 20 % salt by volume. one fourth of the water is evaporated, leaving all of the salt. when 7 gallons of water and 14 gallons of salt are added, the resulting mixture is 33 1 / 3 % salt by volume. what is the value of x?
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[Assistant] 105

[User]
a car takes 12 hours to cover a distance of 540 km. how much should the speed in kmph be maintained to cover the same direction in 3 / 4 th of the previous time?
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[Assistant] 60 kmph

[User]
a soccer team played 140 games and won 50 percent of them. how many games did it win?
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[Assistant] 70


[User]
how many 11 - digits number are palindromic numbers? a palindromic number reads the same forward and backward, example 12345654321.
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[Assistant] 900000

[User]
the telephone company wants to add an area code composed of 2 letters to every phone number. in order to do so, the company chose a special sign language containing 224 different signs. if the company used 222 of the signs fully and two remained unused, how many additional area codes can be created if the company uses all 224 signs?
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[Assistant] 892

[User]
a luxury liner, queen marry ii, is transporting several cats as well as the crew ( sailors, a cook, and captain ) to a nearby port. altogether, these passengers have 15 heads and 42 legs. how many cats does the ship host?
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[Assistant] 6

[User]
in 6 successive games, a baseball team scored 1 runs once, 4 runs twice, and 5 runs 3 times. what was the average ( arithmetic mean ) number of runs the team scored per game over the 6 - game period?
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[Assistant] 4

[User]
what is theleast number should be added to 410, so the sum of the number is completely divisible by 20?
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[Assistant] 10


[User]
the surface of a cube is 54 sq cm. find its volume?
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[Assistant] 27 cc

[User]
a cistern can be filled by a tap in 5 hours while it can be emptied by another tap in 6 hours. if both the taps are opened simultaneously, then after how much time will the cistern get filled?
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[Assistant] 30 hrs

[User]
one hour before john started walking from p to q, a distance of 23 miles, ann had started walking along the same road from q to p. ann walked at a constant speed of 3 miles per hour and john at 2 miles per hour. how many miles had ann walked when they met?
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[Assistant] 15 miles

[User]
( 128.5 x 60 ) + ( 13.8 x 65 ) =? x 25
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[Assistant] 344.28

[User]
at a certain restaurant, the ratio of the number of cooks to the number of waiters is 3 to 11. when 12 more waiters are hired, the ratio of the number of cooks to the number of waiters changes to 1 to 5. how many cooks does the restaurant have?
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[Assistant] 9