[User]
vijay sells a cupboard at 14 % below cost price. had he got rs. 2086 more, he would have made a profit of 14 %. what is the cost price of the cupboard?
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[Assistant] 7450

[User]
we bought a total of 80 books at the store. math books cost $ 4 and history books cost $ 5. the total price was $ 390. how many math books did we buy?
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[Assistant] 10

[User]
one pipe can fill a tank three times as fast as another pipe. if together the two pipes can fill the tank in 36 minutes, then the slower pipe alone will be able to fill the tank in
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[Assistant] 144 mins

[User]
a hall 36 m long and 15 m broad is to be paved with stones, each measuring 6 dm by 5 dm. the number of stones required is :
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[Assistant] 1800

[User]
walking with 4 / 5 of my usual speed, i arrive at the bus stop 10 minutes later than normal. how many minutes does it take to walk to the bus stop at my usual speed?
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[Assistant] 40


[User]
eddy and freddy start simultaneously from city a and they travel to city b and city c respectively. eddy takes 3 hours and freddy takes 4 hours to complete the journey. if the distance between city a and city b is 480 kms and city a and city c is 300 kms. what is the ratio of their average speed of travel? ( eddy : freddy )
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[Assistant] 32 / 15

[User]
a pharmaceutical company received $ 2 million in royalties on the first $ 20 million in sales of and then $ 9 million in royalties on the next $ 108 million in sales. by approximately what percentage did the ratio of royalties to sales decrease from the first $ 20 million in sales to the next $ 108 million in sales?
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[Assistant] 15 %

[User]
ram, who is half as efficient as krish, will take 24 days to complete a task if he worked alone. if ram and krish worked together, how long will they take to complete the task?
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[Assistant] 8 days

[User]
i bought two books ; for rs. 540. i sold one at a loss of 15 % and other at a gain of 19 % and then i found each book was sold at the same price. find the cost of the book sold at a loss?
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[Assistant] 315

[User]
a sum of money deposited at c. i. amounts to rs. 1980 in 3 years and to rs. 2492 in 4 years. find the rate percent?
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[Assistant] 25 %


[User]
the price of a certain painting increased by 10 % during the first year and decreased by 15 % during the second year. the price of the painting at the end of the 2 - year period was what percent of the original price?
Answer the question using a single word or phrase.

[Assistant] 93.5 %

[User]
two trains travel in opposite directions at 36 kmph and 45 kmph and a man sitting in slower train passes the faster train in 16 seconds. the length of the faster train is
Answer the question using a single word or phrase.

[User]
a and b began business with rs. 7000 and rs. 15000 after 6 months, a advances rs. 3000 and b withdraws rs. 5000. at the end of the year, their profits amounted to rs. 2940 find the share of a and b respectively.
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[Assistant] 1190, 1750

[User]
in country z, 10 % of the people do not have a university diploma but have the job of their choice, and 15 % of the people who do not have the job of their choice have a university diploma. if 40 % of the people have the job of their choice, what percent of the people have a university diploma?
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[Assistant] 39 %

[User]
the present worth of rs. 676 due in 2 years at 4 % per annum compound interest is
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[Assistant] rs. 625


[User]
a shopkeeper sold an article for rs 2591.36. approximately what was his profit percent if the cost price of the article was rs 2400
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[Assistant] 8 %

[User]
dacid obtained 86, 89, 82, 87 and 81 marks ( out of 100 ) in english, mathematics, physics, chemistry and biology. what are his average marks?
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[Assistant] 85

[User]
the product of two positive integers is 783 and their difference is 2. what is the bigger number?
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[Assistant] 29

[User]
matt gets a $ 1,000 commission on a big sale. this commission alone raises his average commission by $ 150. if matt's new average commission is $ 700, how many sales has matt made?
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[Assistant] 3

[User]
how many different 3 - digit multiples of 5 can be composed of digits 1, 2, 3, 4, and 5 if none of the digits is repeated?
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[Assistant] 8


[User]
a student finds the sum 1 + 2 + 3 +... as his patience runs out. he found the sum as 575. when the teacher declared the result wrong, the student realized that he missed a number. what was the number the student missed?
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[Assistant] 20

[User]
dhoni spends $ 300 buying his favorite dolls. if he buys only small monkey dolls, which are $ 2 cheaper than the large monkey dolls, he could buy 25 more dolls than if he were to buy only large monkey dolls. how much does a large monkey doll cost?
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[Assistant] $ 6

[User]
set x consists of 5 integers and has median of 20 and a range of 20. what is the value of the greatest possible integer that can be present in the set?
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[Assistant] 20

[User]
find the principle on a certain sum of money at 8 % per annum for 2 2 / 5 years if the amount being rs. 1120?
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[Assistant] 939.6

[User]
a shopkeeper sold an article offering a discount of 5 % and earned a profit of 21.6 %. what would have been the percentage of profit earned if no discount was offered?
Answer the question using a single word or phrase.

[Assistant] 28 %


[User]
the average salary of all the workers in a workshop is rs. 8000. the average salary of 10 technicians is rs. 12000 and the average salary of the rest is rs. 6000. the total number of workers in the workshop is :
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[Assistant] 30

[User]
in a kilometer race, a beats b by 100 meters or 10 seconds. what time does a take to complete the race?
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[Assistant] 90 sec

[User]
a space shuttle orbits the earth at about 4 kilometers per second. this speed is equal to how many kilometers per hour?
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[Assistant] 14,400

[User]
what is the remainder when 14452 × 15652 × 16781 is divided by 5?
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[Assistant] 4

[User]
a jar contains only red, yellow, and orange marbles. if there are 3 red, 3 yellow, and 4 orange marbles, and 3 marbles are chosen from the jar at random without replacing any of them, what is the probability that 2 yellow, 1 red, and no orange marbles will be chosen?
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[Assistant] 2 / 45


[User]
there are 2 friends peter and paul. peter age is twice as old as paul when peter was as old as paul is now. sum of the present ages of peter and paul is 35. what is the present age of peter?
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[Assistant] 20

[User]
the area of a parallelogram is 162 sq m and its altitude is twice the corresponding base. then the length of the base is?
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[Assistant] 9

[User]
34. the side surface of a cylinder is rolled with a rectangular plate. if the height of a cylinder tank is 10 feet and the perimeter of the circular base is 4 feet, what is the area of the rectangular plate?
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[Assistant] 40

[User]
8 % people of a village in sri lanka died by bombardment, 15 % of the remainder left the village on account of fear. if now the population is reduced to 3553, how much was it in the beginning?
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[Assistant] 4543

[User]
57 persons can repair a road in 12 days, working 5 hours a day. in how many days will 30 persons, working 6 hours a day, complete the work?
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[Assistant] 19


[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 15 employees are trained to work in the family buffet, 18 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] 1

[User]
a computer manufacturer produces a certain electronic component at a cost of $ 60 per component. shipping costs for delivering the components are $ 2 per unit. further, the manufacturer has costs of $ 16,500 a month related to the electronic component regardless of how many it produces. if the manufacturer produces and sells 150 components a month, what is the lowest price it can sell them for such that the costs do n't exceed the revenues?
Answer the question using a single word or phrase.

[Assistant] $ 172

[User]
a beaker contains 180 liters of alcohol. on 1 st day, 60 l of alcohol is taken out and replaced by water. 2 nd day, 60 l of mixture iss taken out and replaced by water and the process continues day after day. what will be the quantity of alcohol in beaker after 3 days
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[Assistant] 53.3

[User]
how many two - digit whole numbers yield a remainder of 1 when divided by 10 and also yield a remainder of 1 when divided by 6?
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[Assistant] three

[User]
how long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 150 m in length?
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[Assistant] sec


[User]
a car travels uphill at 30 km / hr and downhill at 70 km / hr. it goes 100 km uphill and 50 km downhill. find the average speed of the car?
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[Assistant] 37 kmph

[User]
in the faculty of reverse - engineering, 226 second year students study numeric methods, 423 second year students study automatic control of airborne vehicles and 134 second year students study them both. how many students are there in the faculty if the second year students are approximately 75 % of the total?
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[Assistant] 687.

[User]
in a certain boys camp, 20 % of the total boys are from school a and 30 % of those study science. if there are 77 boys in the camp that are from school a but do not study science then what is the total number of boys in the camp?
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[Assistant] 550

[User]
if x = 1 + √ 2, then what is the value of x 4 - 4 x 3 + 4 x 2 + 1?
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[Assistant] 2

[User]
vlaudia can choose any two of 4 different candles and any 8 of 9 different flowers for a centerpiece arrangement. given these choices, how many candle + flower groupings can she select?
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[Assistant] 54


[User]
how many odd integers from 1 to 100 ( both inclusive ) have odd number of factors?
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[Assistant] 5

[User]
how many litres of pure acid are there in 10 litres of a 25 % solution
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[Assistant] 2.5

[User]
there are 15 teams in a soccer league and each team plays each of the other teams once. how many games will be played in total?
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[Assistant] 105

[User]
rahim bought 65 books for rs. 6500 from one shop and 35 books for rs. 2000 from another. what is the average price he paid per book?
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[Assistant] 85

[User]
at a certain restaurant, the ratio of the number of cooks to the number of waiters is 3 to 10. when 12 more waiters are hired, the ratio of the number of cooks to the number of waiters changes to 3 to 13. how many cooks does the restaurant have?
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[Assistant] 12


[User]
a man engaged a servant on the condition that he would pay him rs. 800 and a uniform after one year service. he served only for 9 months and received uniform and rs. 400, find the price of the uniform?
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[Assistant] s. 800

[User]
a customer purchased a package of ground beef at a cost of $ 1.96 per pound. for the same amount of money, the customer could have purchased a piece of steak that weighed 30 percent less than the package of ground beef. what was the cost per pound of the steak?
Answer the question using a single word or phrase.

[Assistant] $ 2.80

[User]
a computer manufacturer produces a certain electronic component at a cost of $ 80 per component. shipping costs for delivering the components are $ 7 per unit. further, the manufacturer has costs of $ 16,500 a month related to the electronic component regardless of how many it produces. if the manufacturer produces and sells 150 components a month, what is the lowest price it can sell them for such that the costs do n't exceed the revenues?
Answer the question using a single word or phrase.

[Assistant] $ 197

[User]
what is the sum of the greatest common factor and the lowest common multiple of 24 and 36?
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[Assistant] 84

[User]
a car travels at a speed of 65 miles per hour. how far will it travel in 5 hours?
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[Assistant] 325 miles


[User]
in a race where 12 cars are running, the chance that car x will win is 1 / 6, that y will win is 1 / 10 and that z will win is 1 / 8. assuming that a dead heat is impossible, find the chance that one of them will win.
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[Assistant] 47 / 120

[User]
in a box of 12 pens, a total of 3 are defective. if a customer buys 2 pens selected at random from the box, what is the probability that both pen will be defective?
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[Assistant] 1 / 6

[User]
the timing of a college is from 12 p. m to 4.20 p. m. five lectures are held in the given duration and a break of 5 minutes after each lecture is given to the students. find the duration of each lecture.
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[Assistant] 48 minutes

[User]
after decreasing 50 % in the price of an article costs rs. 1200. find the actual cost of an article?
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[Assistant] 2400

[User]
mary's income is 60 % more than tim's income and tim's income is 30 % less than juan's income. what % of juan's income is mary's income.
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[Assistant] 112 %


[User]
what ratio must a shopkeeper mix peas and soybean of rs. 16 and rs. 25 / kg, as to obtain a mixture of rs. 21?
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[Assistant] 4 : 5

[User]
a part - time employee whose hourly wage was decreased by 20 percent decided to increase the number of hours worked per week so that the employee's total income did not change. by what percent e should the number of hours worked be increased?
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[Assistant] 25 %

[User]
the side of a cube is 8 m, find the voiume?
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[Assistant] 512

[User]
a number when divided by 221 gives a remainder 43, what remainder will be obtained by dividing the same number 17?
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[Assistant] 9

[User]
george went to a fruit market with certain amount of money. with this money he can buy either 50 oranges or 40 mangoes. he retains 8 % of the money for taxi fare and buys 20 mangoes. how many oranges can he buy?
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[Assistant] 21


[User]
a sum of 14,400 amounts to 16,600 in 3 years at the rate of simple interest. what is the rate of interest?
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[Assistant] 5 %

[User]
a particular library has 75 books in a special collection, all of which were in the library at the beginning of the month. these book are occasionally loaned out through an inter - library program. if, by the end of the month, 70 percent of books that were loaned out are returned and there are 66 books in the special collection at that time, how many books of the special collection were loaned out during that month?
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[Assistant] 30

[User]
if a tire rotates at 400 revolutions per minute when the car is traveling 168 km / h, what is the circumference of the tire?
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[Assistant] 7 meters

[User]
in a bus left side are 15 seats available, 3 few seats in right side because in rear exit door. each seat hold 3 people. in addition, there is a seat back can sit 7 people all together. how many people can sit in a bus?
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[Assistant] 88

[User]
a worker's take - home pay last year was the same each month, and she saved the same fraction of her take - home pay each month. the total amount of money that she had saved at the end of the year was 2 times the amount of that portion of her monthly take - home pay that she did not save. if all the money that she saved last year was from her take - home pay, what fraction of her take - home pay did she save each month?
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[Assistant] 1 / 7


[User]
what is the sum of all remainders obtained when the first 120 natural numbers are divided by 9?
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[Assistant] 405

[User]
if a certain number of labours can dig earth 100 m deep, 25 m long, and 30 m broad in 12 days, then find the number of days the same number of labours will require to dig earth 75 m deep, 20 m long and 50 m broad.
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[Assistant] 12

[User]
a shopkeeper sold an article offering a discount of 5 % and earned a profit of 27.3 %. what would have been the percentage of profit earned if no discount had been offered?
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[Assistant] 34 %

[User]
in town x, 64 percent of the population are employed, and 45 percent of the population are employed males. what percent of the employed people in town x are females?
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[Assistant] 28 %

[User]
x and y invested in a business. they earned some profit which they divided in the ratio of 2 : 3. if x invested rs. 40,000, the amount invested by y is
Answer the question using a single word or phrase.

[Assistant] 60000


[User]
135 kg of an alloy a is mixed with 145 kg of alloy b. if alloy a has lead and tin in the ratio 3 : 5 and alloy b has tin and copper in the ratio 2 : 3, then the amount of tin in the new alloy is?
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[Assistant] 142 kg

[User]
a sum of money lent out at s. i. amounts to a total of $ 520 after 2 years and to $ 820 after a further period of 5 years. what was the initial sum of money that was invested?
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[Assistant] $ 400

[User]
a person borrows rs. 5000 for 2 years at 4 % p. a. simple interest. he immediately lends it to another person at 61 ⁄ 4 % p. a for 2 years. find his gain in the transaction per year.
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[Assistant] 112.5

[User]
a small water pump would take 4 hours to fill an empty tank. a larger pump would take 1 / 2 hour to fill the same tank. how many hours would it take both pumps, working at their respective constant rates, to fill the empty tank if they began pumping at the same time?
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[Assistant] 4 / 9

[User]
a man cycling along the road noticed that every 3 minutes a bus overtakes him and every 9 minutes he meets an oncoming bus. if all buses and the cyclist move at a constant speed, what is the time interval between consecutive buses?
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[Assistant] 9 / 2 minutes


[User]
a pump can fill a tank with water in 2 hours. because of a leak, it took 2 2 / 3 hours to fill the tank. the leak can drain all the water of the tank in
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[Assistant] 8 hours

[User]
a goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. what is the length of the goods train?
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[Assistant] 270 m

[User]
if teena is driving at 55 miles per hour and is currently 7.5 miles behind joe, who is driving at 40 miles per hour in the same direction then in how many minutes will teena be 22.5 miles ahead of joe?
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[Assistant] 120

[User]
the sale price sarees listed for rs. 560 after successive discount is 20 % and 30 % is?
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[Assistant] 314

[User]
45 girls and 60 boys are present at a party. there are 17 girl - boy are in relationship among them. if a girl and a boy is selected at random, what is the probability that they will be a couple?
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[Assistant] 17 / 2700


[User]
if 360 is divided into 4 parts proportional to 5, 7, 4, 8 then the smallest part is :
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[Assistant] 60

[User]
1370, 1320, 1070, - 180, - 6430, x
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[Assistant] - 37680

[User]
a scale 10 ft. 5 inches long is divided into 5 equal parts. find the length of each part.
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[Assistant] 25 inches

[User]
a train 150 m long passes a man, running at 6 kmph in the direction opposite to that of the train, in 6 seconds. the speed of the train is
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[Assistant] 84 kmph

[User]
a thief runs away from a with a speed of 20 km / hr. a police from a station 60 km away started chasing him after 1 hr. with a speed of 40 km / hr. time taken by the police to catch the thief is :
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[Assistant] 4 hrs


[User]
what is the square root of 16, divided by 2?
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[Assistant] 2

[User]
the value of ( 4.7 × 13.26 + 4.7 × 9.43 + 4.7 × 77.31 ) is :
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[Assistant] 470

[User]
an ant walks an average of 500 meters in 60 minutes. a beetle walks 15 % less distance at the same time on the average. assuming the beetle walks at her regular rate, what is its speed in km / h?
Answer the question using a single word or phrase.

[Assistant] 0.425

[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 10 gallons of water and 20 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] 150

[User]
roses can be purchased individually for $ 2.30, one dozen for $ 36, or two dozen for $ 50. what is the greatest number of roses that can be purchased for $ 680?
Answer the question using a single word or phrase.

[Assistant] 325


[User]
in the land of oz only one or two - letter words are used. the local language has 65 different letters. the parliament decided to forbid the use of the seventh letter. how many words have the people of oz lost because of the prohibition?
Answer the question using a single word or phrase.

[Assistant] 130

[User]
baker ram is storing cake boxes in cartons that measure 25 inches by 42 inches by 60 inches. if the measurement of each cake box is 8 inches by 7 inches by 5 inches, then what is the maximum number of cake boxes that can be placed in each carton?
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[Assistant] 210

[User]
a 40 - liter solution of alcohol and water is 5 percent alcohol. if 4.5 liters of alcohol and 5.5 liters of water are added to this solution, what percent of the solution produced is alcohol?
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[Assistant] 13 %

[User]
a snail, climbing a 20 feet high wall, climbs up 4 feet on the first day but slides down 2 feet on the second. it climbs 4 feet on the third day and slides down again 2 feet on the fourth day. if this pattern continues, how many days will it take the snail to reach the top of the wall?
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[Assistant] 17

[User]
the average of the marks of 12 students in a class is 36. if the marks of each student are doubled, find the new average?
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[Assistant] 72


[User]
a watch was sold at a loss of 10 %. if it was sold for rs. 190 more, there would have been a gain of 4 %. what is the cost price?
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[Assistant] s. 1357.1

[User]
if 3 ^ x * 4 ^ y = 19683 and x – y = 9, then x =?
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[Assistant] 9

[User]
in triangle pqr, the angle q = 90 degree, pq = 2 cm, qr = 8 cm. x is a variable point on pq. the line through x parallel to qr, intersects pr at y and the line through y, parallel to pq, intersects qr at z. find the least possible length of xz
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[Assistant] 1.6 cm

[User]
5 men are equal to as many women as are equal to 8 boys. all of them earn rs. 210 only. men â € ™ s wages are?
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[Assistant] 14 rs

[User]
in may mrs lee's earnings were 60 percent of the lee family's total income. in june mrs lee earned 10 percent more than in may. if the rest of the family's income was the same both months, then, in june, mrs lee's earnings were approximately what percent of the lee family's total income?
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[Assistant] 62 %


[User]
express a speed of 60 kmph in meters per second?
Answer the question using a single word or phrase.

[Assistant] 16.67 mps

[User]
a person decided to build a house in 100 days. he employed 100 men in the beginning and 100 more after 50 days and completed the construction in stipulated time. if he had not employed the additional men, how many days behind schedule would it have been finished?
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[Assistant] 50

[User]
how many multiples of 6 are there between 30 and 140, 30 and 140 inclusive?
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[Assistant] 19

[User]
how many seconds will a 400 metre long train take to cross a man running with a speed of 6 km / hr in the direction of the moving train if the speed of the train is 46 km / hr?
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[Assistant] 36

[User]
if x + y = 24, x - y = 40, for integers of x and y, x =?
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[Assistant] 32


[User]
a car traveling at a certain constant speed takes 12 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 75 kilometers per hour. at what speed, in kilometers per hour, is the car traveling?
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[Assistant] 60

[User]
if 222 = 6 333 = 12 444 = 20 then, 555 =??
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[Assistant] 30

[User]
if n = 6 ^ 11 – 6, what is the units digit of n?
Answer the question using a single word or phrase.

[Assistant] 0

[User]
a certain industrial loom weaves 0.128 meters of cloth every second. approximately how many seconds will it take for the loom to weave 25 meters of cloth?
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[Assistant] 195

[User]
a man goes from a to b at a speed of 14 kmph and comes back to a at a speed of 10 kmph. find his average speed for the entire journey?
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[Assistant] 11.6 kmph


[User]
p software has coding line 5 % more than n, n software has coding line 4 / 20 more than m. m software has 80 lines of coding. find p lines.
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[Assistant] 101

[User]
if f ( x ) = 5 - 2 x, then f - 1 ( - 3 ) =?
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[Assistant] 3

[User]
the weight of every type a widget is the same, the weight of every type b widget is the same, and the weight of every type c widget is the same. if the weight of 7 type a widgets is equal to the weight of 2 type b widgets, and the weight of 4 type b widgets is equal to the weight of 7 type c widgets. what is the ratio of the total weight of 1 type a widget and 1 type b widget, to the total weight of 1 type b widget and 1 type c widget?
Answer the question using a single word or phrase.

[Assistant] 9 : 11

[User]
( 500 + 200 ) × 4 × ( 3 + 2 ) =?
Answer the question using a single word or phrase.

[Assistant] 14000

[User]
how many seconds will a 700 meter long train moving with a speed of 63 km / hr take to cross a man walking with a speed of 3 km / hr in the direction of the train?
Answer the question using a single word or phrase.

[Assistant] 42


[User]
joan and karl each bought a telescopes and the sum of their purchases was $ 400. if twice of what joan paid was $ 74 more than what karl paid, what did joan pay for her telescope?
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[Assistant] $ 158

[User]
how many odd prime numbers are there less than 150?
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[Assistant] 34

[User]
a can do a piece of work in 8 days. he works at it for 4 days and then b finishes it in 6 days. in how many days can a and b together finish the work?
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[Assistant] 4.8 days

[User]
a boat moves upstream at the rate of 1 km in 20 minutes and down stream 1 km in 12 minutes. then the speed of the current is :
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[Assistant] 1 kmph

[User]
a parking garage rents parking spaces for $ 10 per week or $ 40 per month. how much does a person save in a year by renting by the month rather than by the week?
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[Assistant] $ 40


[User]
what sum of money will produce rs. 70 as simple interest in 4 years at 4 1 / 2 percent?
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[Assistant] 388.9

[User]
in a dairy farm, 34 cows eat 34 bags of husk in 34 days. in how many days one cow will eat one bag of husk?
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[Assistant] 34 days

[User]
if the sides of a triangle are 28 cm, 24 cm and 15 cm, what is its area?
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[Assistant] 180 cm 2

[User]
if y is the smallest positive integer such that 3,150 multiplied by y is the square of an integer, then y must be
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[Assistant] 14

[User]
10 play kabadi, 20 play kho kho only, 5 play both gmaes. then how many in total?
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[Assistant] 30


[User]
a train 605 meters long is running with a speed of 60 kmph. in what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
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[Assistant] 33

[User]
the average of 13 numbers is 60. average of the first 6 of them is 57 and that of the last 8 is 61. find the 8 th number?
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[Assistant] 50

[User]
is two years older than b who is twice as old as c. if the total of the ages of a, b and c be 22, then how old is b?
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[Assistant] 8

[User]
in a fuel station the service costs $ 2.20 per vehicle and every liter of fuel costs $ 0.70. assuming that you fill up 3 mini - vans and 2 trucks, what will be the total cost, if a mini - van's tank is 65 liters and a truck's tank is 120 % bigger and they are all empty?
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[Assistant] $ 347.70

[User]
four bells commence tolling together and toll at intervals of 2, 3, 4 and 5 seconds respectively. in 10 minutes, how many times do they toll together?
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[Assistant] 11


[User]
an article is bought for rs. 600 and sold for rs. 550, find the loss percent?
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[Assistant] 8.33 %

[User]
it takes printer a 4 more minutes more than printer b to print 40 pages. working together, the two printers can print 50 pages in 6 minutes. how long will it take printer a to print 120 pages?
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[Assistant] 36

[User]
john want to buy a $ 100 trouser at the store, but he think it ’ s too expensive. finally, it goes on sale for $ 30. what is the percent decrease?
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[Assistant] 70 %

[User]
for the symbol, m ” n = n ^ 2 − m for all values of m and n. what is the value of 5 ” 3?
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[Assistant] 4

[User]
if a car went the first third of the distance at 80 kmh, the second third at 24 kmh, and the last third at 44 kmh, what was the average speed of the car for the entire trip?
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[Assistant] 39 kmh


[User]
there are 408 boys and 312 girls in a school which are to be divided into equal sections of either boys or girls alone. find the total number of sections thus formed.
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[Assistant] 30

[User]
in 20 years, a will be twice as old as b was 20 years ago. if a is now 10 years older than b, the present age of b is?
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[Assistant] 70 yrs

[User]
a boat running downstream covers a distance of 44 km in 8 hours while for covering the same distance upstream, it takes 10 hours. what is the speed of the boat in still water?
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[Assistant] 4.95 kmph

[User]
if a 10 percent deposit that has been paid toward the purchase of a certain product is $ 105, how much more remains to be paid?
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[Assistant] $ 945

[User]
calculate the dividend from caleb's stock, if caleb he invested rs. 2500 at 79 to obtain an income of rs. 200.
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[Assistant] 6.32


[User]
in the biology lab of ` ` jefferson ''high school there are 5.4 * 10 ^ 6 germs, equally divided among 10,800 petri dishes. how many germs live happily in a single dish?
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[Assistant] 500

[User]
a part - time employee whose hourly wage was decreased by 20 percent decided to increase the number of hours worked per week so that the employee's total income did not change. by what percent r should the number of hours worked be increased?
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[Assistant] 25 %

[User]
at what rate percent per annum will a sum of money double in 16 years.
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[Assistant] 6.25 %

[User]
a grocery shop has a sale of rs. 6535, rs. 6927, rs. 6855, rs. 7230 and rs. 6562 for 5 consecutive months. how much sale must he have in the sixth month so that he gets an average sale of rs. 6500?
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[Assistant] 4891

[User]
how many times will the digit 7 be written when listing the integers from 1 to 1000?
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[Assistant] 300


[User]
carol and jordan draw rectangles of equal area. if carol's rectangle measures 8 inches by 15 inches and jordan's rectangle is 4 inches long, how wide is jordan's rectangle, in inches?
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[Assistant] 30

[User]
the average salary of a person for the months of january, february, march and april is rs. 8000 and that for the months february, march, april and may is rs. 8450. if his salary for the month of may is rs. 6500, find his salary for the month of january?
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[Assistant] 4700

[User]
a student was asked to find 4 / 5 of a number. but the student divided the number by 4 / 5, thus the student got 45 more than the correct answer. find the number.
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[Assistant] 100

[User]
a quiz has one mcq question with a, b and c as options. and two questions with true / false answers. what is the probability of giving all 3 answers correct?
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[Assistant] 1 / 12

[User]
what is the sum of natural numbers between 90 and 100
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[Assistant] 1045


[User]
in a garden, there are 10 rows and 12 columns of mango trees. the distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden. what is the length of the garden?
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[Assistant] 24 m

[User]
in the manufacture of a certain product, 9 percent of the units produced are defective and 4 percent of the defective units are shipped for sale. what percent of the units produced are defective units that are shipped for sale?
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[Assistant] 0.36 %

[User]
70 students are required to paint a picture. 52 use green color and some children use red, 38 students use both the colors. how many students use red color?
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[Assistant] 56

[User]
the cost price of a radio is rs. 1500 and it was sold for rs. 1245, find the loss %?
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[Assistant] 17 %

[User]
a person buys an article at $ 500. at what price should he sell the article so as to make a profit of 20 %?
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[Assistant] 600


[User]
ramu bought an old car for rs. 36400. he spent rs. 8000 on repairs and sold it for rs. 68400. what is his profit percent?
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[Assistant] 54 %

[User]
a ladder 25 m long reaches a window of building 20 m above the ground. then the distance of the foot of the ladder from the building is?
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[Assistant] 15 m

[User]
when positive integer n is divided by positive integer j, the remainder is 10. if n / j = 134.08, what is value of j?
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[Assistant] 125

[User]
when positive integer n is divided by positive integer j, the remainder is 18. if n / j = 204.03, what is value of j?
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[Assistant] 600

[User]
if 2 + 7 = 57 ; 3 + 6 = 63 ; 5 + 9 = 206 then 4 + 8 =?
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[Assistant] 128


[User]
a tank is filled to one quarter of its capacity with a mixture consisting of water and sodium chloride. the proportion of sodium chloride in the tank is 30 % by volume and the capacity of the tank is 24 gallons. if the water evaporates from the tank at the rate of 0.4 gallons per hour, and the amount of sodium chloride stays the same, what will be the concentration of water in the mixture in 6 hours?
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[Assistant] 50 %

[User]
by selling 20 pencils for a rupee a man loses 35 %. how many for a rupee should he sell in order to gain 30 %?
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[Assistant] 10

[User]
in order to obtain an income of rs. 500 from 30 % stock at rs. 90, one must make an investment of
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[Assistant] rs. 1500

[User]
if n is a positive integer and n ^ 2 is divisible by 72, then the largest positive integer q that must divide n is?
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[Assistant] 12

[User]
the value of ( 2.502 + 0.064 ) ^ 2 - ( 2.502 - 0.064 ) ^ 2 / 2.502 * 0.064
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[Assistant] 4


[User]
a, b and c have rs. 500 between them, a and c together have rs. 200 and b and c rs. 320. how much does c have?
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[Assistant] 20

[User]
what is 10 - 8 + 6 - 4 +... + ( - 18 )?
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[Assistant] - 4

[User]
car a runs at the speed of 70 km / hr & reaches its destination in 10 hr. car b runs at the speed of 35 km / h & reaches its destination in 10 h. what is the respective ratio of distances covered by car a & car b?
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[Assistant] 2 : 1

[User]
car x began traveling at an average speed of 35 miles per hour. after 72 minutes, car y began traveling at an average speed of 50 miles per hour. when both cars had traveled the same distance, both cars stopped. how many miles did car x travel from the time car y began traveling until both cars stopped?
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[Assistant] 98

[User]
a and b together can do a work in 4 days. if a alone can do it in 14 days. in how many days can b alone do it?
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[Assistant] 6


[User]
sally has a gold credit card with a certain spending limit, and a platinum card with twice the spending limit of the gold card. currently, she has a balance on her gold card that is 1 / 3 of the spending limit on that card, and she has a balance on her platinum card that is 1 / 6 of the spending limit on that card. if sally transfers the entire balance on her gold card to her platinum card, what portion of her limit on the platinum card will remain unspent?
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[Assistant] 2 / 3

[User]
find the compound ratio of ( 2 : 3 ), ( 6 : 11 ) and ( 11 : 2 ) is
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[Assistant] 2 : 1

[User]
city a and city b are 140 miles apart. train c departs city a, heading towards city b, at 4 : 00 and travels at 40 miles per hour. train d departs city b, heading towards city a, at 5 : 30 and travels at 20 miles per hour. the trains travel on parallel tracks. at what time do the two trains meet?
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[Assistant] 7 : 30

[User]
the perimeter of a triangle is 32 cm and the inradius of the triangle is 2.5 cm. what is the area of the triangle?
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[Assistant] 40 cm 2

[User]
you cook a pot of beef stew for you and your roommate. normally it lasts 7 days between the two of you. if 3 guests are now staying with you and your roommate, how many days will the beef stew now last if everyone eats it?
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[Assistant] 2.8


[User]
a person can swim in still water at 12 km / h. if the speed of water 2 km / h, how many hours will the man take to swim back against the current for 10 km?
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[Assistant] 1

[User]
a train running at the speed of 54 km / hr crosses a pole in 9 seconds. what is the length of the train?
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[Assistant] 135

[User]
the average weight of a, b and c is 45 kg. if the average weight of a and b be 40 kg and that of b and c be 44 kg, then the weight of b is :
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[Assistant] 33 kg

[User]
the duplicate ratio of 3 : 4 is?
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[Assistant] 9 : 16

[User]
in the first 15 overs of a cricket game, the run rate was only 3.2. what should be the run rate in the remaining 35 overs to reach the target of 275 runs?
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[Assistant] 6.48


[User]
a car salesman earns a base salary of $ 1000 per month plus a commission of $ 200 for each car he sells. if the car salesman earned $ 1800 in january, how many cars does he need to sell in february in order to double his january earnings?
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[Assistant] 13

[User]
the area of a sector of a circle of radius 4 cm formed by an arc of length 3.5 cm is?
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[Assistant] 7

[User]
working alone, a can complete a certain kind of job in 12 hours. a and d, working together at their respective rates, can complete one of these jobs in 4 hours. in how many hours can d, working alone, complete one of these jobs?
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[Assistant] 6

[User]
the perimeter of a triangle is 35 cm and the inradius of the triangle is 4.5 cm. what is the area of the triangle?
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[Assistant] 78

[User]
a ’ s speed is 22 / 19 times that of b. if a and b run a race, what part of the length of the race should a give b as a head start, so that the race ends in a dead heat?
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[Assistant] 3 / 22


[User]
the average weight of 8 girls increases by 3 kg when a new girl comes in place of one of them weighing 70 kg. what might be the weight of the new girl?
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[Assistant] 94 kg

[User]
if t = 5 / 9 * ( k - 32 ), and if t = 35, then what is the value of k?
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[Assistant] 95

[User]
from an island, it is possible to reach the mainland by either ferry p or ferry q. ferry p travels for 3 hours at 6 kilometers per hour, while ferry q takes a route that is two times longer. if ferry p is slower than ferry q by 3 kilometers per hour, how many hours longer is the journey of ferry q compared with the journey of ferry p?
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[Assistant] 1

[User]
48.95 - 32.006 =?
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[Assistant] 16.944

[User]
the effective annual rate of interest corresponding to a nominal rate of 8 % per annum payable half - yearly is?
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[Assistant] 8.16 %


[User]
a certain number of horses and an equal number of men are going somewhere. half of the owners are on their horses'back while the remaining ones are walking along leading their horses. if the number of legs walking on the ground is 50, how many horses are there?
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[Assistant] 10

[User]
15.06 * 0.0000001 =?
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[Assistant] 1.506 e - 06

[User]
if a car went the first third of the distance at 80 kmh, the second third at 24 kmh, and the last third at 60 kmh, what was the average speed of the car for the entire trip?
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[Assistant] 42 kmh

[User]
in 1990 the budgets for projects q and v were $ 540000 and $ 780000, respectively. in each of the next 10 years, the budget for q was increased by $ 30000 and the budget for v was decreased by $ 10000. in which year was the budget for q equal to the budget for v?
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[Assistant] 1996

[User]
a shopkeeper sells 500 metres of cloth for rs. 15000 at a loss of rs. 10 per metre. find his cost price for one metre of cloth?
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[Assistant] s. 40


[User]
dan ’ s car gets 32 miles per gallon. if gas costs $ 4 / gallon, then how many miles can dan ’ s car go on $ 46 of gas?
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[Assistant] 368

[User]
company s produces two kinds of stereos : basic and deluxe. of the stereos produced by company s last month, 2 / 3 were basic and the rest were deluxe. if it takes 6 / 5 as many hours to produce a deluxe stereo as it does to produce a basic stereo, then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos?
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[Assistant] 6 / 16

[User]
an object thrown directly upward is at a height of h feet after t seconds, where h = - 12 ( t - 3 ) ^ 2 + 120. at what height, in feet, is the object 2 seconds after it reaches its maximum height?
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[Assistant] 72

[User]
if | x - 5 | = 23 what is the sum of all the values of x.
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[Assistant] 10

[User]
the number of stamps that kaye and alberto had were in the ration of 6 : 4 respectively. after kaye gave alberto 5 of her stamps, the ration of the number of kaye had to the number of alberto had was 8 : 6. as a result of the gift, kaye had how many more stamps than alberto?
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[Assistant] 25


[User]
find √? / 11 = 4?
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[Assistant] 1936

[User]
on a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. on the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. on both days, all the orangeade that was made was sold. if the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $ 0.60 per glass on the first day, what was the price w per glass on the second day?
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[Assistant] $ 0.40

[User]
two pipes p and q can fill a cistern in 12 and 13 minutes respectively. both are opened together, but at the end of 3 minutes the first is turned off. how much longer will the cistern take to fill?
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[Assistant] 3 / 4

[User]
i flew my tiny seaplane to visit my mother. on the flight up, i flew at 130 mph. on the way home, i flew 88 mph. what was my average speed for the trip?
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[Assistant] 109 mph

[User]
a particular store purchased a stock of turtleneck sweaters and marked up its cost by 20 %. during the new year season, it further marked up its prices by 25 % of the original retail price. in february, the store then offered a discount of 10 %. what was its profit on the items sold in february?
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[Assistant] 35 %


[User]
if the radius of a circle is decreased 20 %, what happens to the area?
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[Assistant] 36 % decrease

[User]
a man has some hens and cows. if the number of heads be 44 and the number of feet equals 128, then the number of hens will be
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[Assistant] 24

[User]
in a 200 meters race a beats b by 35 m or 7 seconds. a ’ s time over the course is :
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[Assistant] 33 sec

[User]
a and b can do a piece of work in 8 days. with the help of c they finish the work in 5 days. c alone can do that piece of work in?
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[Assistant] 13 1 / 3

[User]
- 84 * 29 + 365 =?
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[Assistant] - 2071


[User]
approximately how many cubic feet of water are needed to fill a circular swimming pool that is 80 feet across and 10 feet deep?
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[Assistant] 50000

[User]
if shares of two persons in profits are rs. 300 and rs. 500 then ratio of their capitals is
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[Assistant] 3 : 5

[User]
there are 2 available positions and 50 candidates, one half of whom are democrats and another half are republicans. if it was decided that the positions would be filled at random, then what is the probability r that the both positions will be taken by members of just one party?
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[Assistant] 24 / 49

[User]
a train 270 m long, running with a speed of 108 km / hr will pass a tree in
Answer the question using a single word or phrase.

[Assistant] 9 sec

[User]
a container holding 12 ounces of a solution that is 1 part alcohol to 2 parts water is added to a container holding 12 ounces of a solution that is 1 part alcohol to 3 parts water. what is the ratio of alcohol to water in the resulting solution?
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[Assistant] 7 : 17


[User]
( 0.86 ) ( power 3 ) - ( 0.1 ) ( power 3 ) / ( 0.86 ) ( power 2 ) + 0.086 + ( 0.1 ) ( power 2 ) is :
Answer the question using a single word or phrase.

[Assistant] 0.76

[User]
find the ratio in which wheat of inferior quality ( rs. 14 / kg ) be mixed with wheat of superior quality ( rs. 28 / kg ) so that the shopkeeper gains rs. 2 by selling the resulting mixture at rs. 20 / kg.
Answer the question using a single word or phrase.

[Assistant] 5 : 2

[User]
george baked a total of 75 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?
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[Assistant] 2

[User]
- - - - - - - - - - - - - - - - yes - - - - - - - - - no - - - - unsure subject m - - - - 500 - - - - - - - - 200 - - - - - 100 subject r - - - - 400 - - - - - - - - 100 - - - - - 300 a total of 800 students were asked whether they found two subjects, m and r, interesting. each answer was either yes or no or unsure, and the numbers of students who gave these answers are listed in the table above. if 150 students answered yes only for subject m, how many of the students did not answer yes for either subject?
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[Assistant] 250

[User]
a bag contains 6 red, 2 yellow and 4 green balls. 3 balls are drawn randomly. what is the probability that the balls drawn contain balls of different colours?
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[Assistant] 12 / 55


[User]
in a certain company 20 % of the men and 40 % of the women attended the annual company picnic. if 50 % of all the employees are men. what % of all the employee went to the picnic?
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[Assistant] 30 %

[User]
a trader sells 80 meters of cloth for rs. 10000 at the profit of rs. 7 per metre of cloth. what is the cost price of one metre of cloth?
Answer the question using a single word or phrase.

[Assistant] 118

[User]
the present ratio of students to teachers at a certain school is 35 to 1. if the student enrollment were to increase by 50 students and the number of teachers were to increase by 5, the ratio of students to teachers would then be 25 to 1. what is the present number of teachers?
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[Assistant] 8

[User]
if x and y are the two digits of the number 653 xy. such that this number is divisible by 80, then x + y is equal to
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[Assistant] 2

[User]
22 + 23 + 24 +... 61 + 62 + 63 =?
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[Assistant] 1785


[User]
matt and peter can do together a piece of work in 24 days. after they have worked together for 12 days matt stops and peter completes the remaining work in 10 days. in how many days peter complete the work separately.
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[Assistant] 24

[User]
a train which has 600 m long, is running 60 kmph. in what time will it cross a person moving at 6 kmph in same direction?
Answer the question using a single word or phrase.

[Assistant] 40 sec

[User]
when tossed, a certain coin has equal probability of landing on either side. if the coin is tossed 3 times, what is the probability that it will land on the same side each time?
Answer the question using a single word or phrase.

[Assistant] 1 / 4

[User]
machine p can print one lakh books in 8 hours. machine q can print the same number of books in 10 hours while machine r can print the same in 12 hours. all the machines started printing at 9 a. m. machine p is stopped at 11 a. m. and the remaining two machines complete work. approximately at what time will the printing of one lakh books be completed?
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[Assistant] 1 : 00 pm

[User]
three numbers are in the ratio 4 : 5 : 6 and their average is 30. the largest number is :
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[Assistant] 36


[User]
by selling a book for 270, 20 % profit was earned. what is the cost price of the book?
Answer the question using a single word or phrase.

[Assistant] 225

[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 10 points after 5 games, what is the least number of the remaining matches it has to win to reach the 45 - point mark by the end of the tournament?
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[Assistant] 10

[User]
the price of lunch for 15 people was $ 208.00, including a 15 percent gratuity for service. what was the average price per person, excluding the gratuity?
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[Assistant] $ 12.60

[User]
if the area of a circle decreases by 36 %, then the radius of a circle decreases by
Answer the question using a single word or phrase.

[Assistant] 20 %

[User]
if n is a positive integer and n ^ 2 is divisible by 450, then what is the largest positive integer that must divide n?
Answer the question using a single word or phrase.

[Assistant] 30


[User]
if the given two numbers are respectively 7 % and 14 % of a third number, then what percentage is the first of the second?
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[Assistant] 50 %

[User]
the average of first 9 prime numbers is?
Answer the question using a single word or phrase.

[Assistant] 11.11

[User]
a trailer carries 3, 4 and 6 crates on a trip. each crate weighs no less than 120 kg. what is the maximum weight of the crates on a single trip?
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[Assistant] 720

[User]
the ratio of the ages of mini and minakshi is 4 : 3. the sum of their ages is 21 years. the ratio of their ages after 8 years will be
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[Assistant] 20 : 17

[User]
a train with a length of 100 meters, is traveling at a speed of 72 km / hr. the train enters a tunnel 1.7 km long. how many minutes does it take the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?
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[Assistant] 1.5


[User]
a circular logo is enlarged to fit the lid of a jar. the new diameter is 50 per cent larger than the original. by what percentage has the area of the logo increased?
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[Assistant] 125

[User]
a train with a length of 100 meters, is traveling at a speed of 72 km / hr. the train enters a tunnel 3.5 km long. how many minutes does it take the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?
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[Assistant] 3

[User]
if 0.5 % of a = 80 paise, then the value of a is?
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[Assistant] rs. 160

[User]
it takes 2 team of farm workers 12 days to completely prepare a piece of land for planting. if both team of workers were to work separately, one of them can complete the work 10 days earlier than the other, how many days will it take each of them to separately complete the work?
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[Assistant] 20 and 30

[User]
find compound interest on $ 8000 at 15 % per annum for 2 years 4 months, compounded annually.
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[Assistant] 3109


[User]
the average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 45 kg. what is the weight of the new person?
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[Assistant] 65 kg

[User]
in what time will a train 100 m long cross an electric pole, it its speed be 54 km / hr?
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[Assistant] 6.67

[User]
alex takes a loan of $ 8,000 to buy a used truck at the rate of 6 % simple interest. calculate the annual interest to be paid for the loan amount.
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[Assistant] 480

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

[User]
in how many ways 4 boys and 3 girls can be seated in a row so that they are alternative?
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[Assistant] 144


[User]
if ( 10 ^ 4 * 3.456789 ) ^ 10 is written as a single term, how many digits would be to the right of the decimal place?
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[Assistant] 20

[User]
if each edge of cube increased by 30 %, the percentage increase in
Answer the question using a single word or phrase.

[Assistant] 69

[User]
a certain drink of type a is prepared by mixing 4 parts milk with 3 parts fruit juice. another drink of type b is prepared by mixing 4 parts of fruit juice and 3 parts of milk. how many liters of fruit juice must be added to 63 liters of drink a to convert it to drink b?
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[Assistant] 21

[User]
what is the remainder when 15487 ^ ( 62177037 ) is divided by 5?
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[Assistant] 2

[User]
james went on a diet 12 months ago when he weighed 222 pounds. if he now weighs 198 pounds and continues to lose at the same average monthly rate, in approximately how many months will he weigh 190 pounds?
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[Assistant] 4


[User]
a 1200 m long train crosses a tree in 120 sec, how much time will i take to pass a platform 800 m long?
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[Assistant] 200 sec

[User]
at what rate percent of simple interest will a sum of money double itself in 11 years?
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[Assistant] 9.09 %

[User]
if m and n are positive integers and m ^ 2 + n ^ 2 = 137, what is the value of m ^ 3 + n ^ 3?
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[Assistant] 1,395

[User]
if the product of the integers from 1 to n is divisible by 630, what is the least possible value of n?
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[Assistant] 7

[User]
a monkey start climbing up a tree 22 ft tall. each hour it hops 3 ft and slips back 2 ft. how much time would it take the monkey to reach the top.
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[Assistant] 20 hrs


[User]
the first doughnut is priced at $ 1 and then if you purchase additional doughnuts as dozens then the price is $ 6 / dozen. what is the total number of doughnuts purchased if you paid $ 26?
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[Assistant] 50

[User]
when you draw 2 dices together, find the probability of getting a total of 6?
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[Assistant] 5 / 36

[User]
elvin's monthly telephone bill is the sum of the charge for the calls he made during the month and a fixed monthly charge for internet service. elvin's total telephone bill for january was $ 50 and elvin's total telephone bill for february was 76 $. if elvin's charge for the calls he made in february was twice the charge for the calls he made in january, what is elvin's fixed monthly charge for internet service?
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[Assistant] $ 24

[User]
a salesman ’ s terms were changed from a flat commission of 5 % on all his sales to a fixed salary of rs. 1300 plus 2.5 % commission on all sales exceeding rs. 4,000. if his remuneration as per new scheme was rs. 600 more than that by the previous schema, his sales were worth?
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[Assistant] 12019

[User]
a man took a loan at rate of 12 % per annum simple interest. after 3 years he had to pay 9000 interest. the principal amount borrowed by him was.
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[Assistant] rs 25000


[User]
tabby is training for a triathlon. she swims at a speed of 1 mile per hour. she runs at a speed of 9 miles per hour. she wants to figure out her average speed for these two events. what is the correct answer for her?
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[Assistant] 5 mph

[User]
suppose you want to buy 3 loaves of bread that cost $ 2.25 each and a jar of peanut butter that costs $ 2. a jar of jelly is $ 2.75, but you don â € ™ t need any jelly. you have $ 14. how much money will you have left over?
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[Assistant] $ 5.25

[User]
a batsman scored 110 runs which included 3 boundaries and 8 sixes. what percent of his total score did he make by running between the wickets?
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[Assistant] 45.45 %

[User]
a man can row 3.6 km / hr in still water. it takes him twice as long to row upstream as to row downstream. what is the rate of the current?
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[Assistant] 1.2

[User]
two cars are traveling in the same direction along the same route. the red car travels at a constant speed of 30 miles per hour, and the black car is traveling at a constant speed of 50 miles per hour. if the red car is 20 miles ahead of the black car, how many hours will it take the black car to overtake the red car?
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[Assistant] 1


[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 32,000 locusts?
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[Assistant] 6

[User]
find the ratio in which rice at rs. 7.10 a kg be mixed with rice at rs. 5.70 a kg to produce a mixture worth rs. 6.30 a kg
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[Assistant] 3 : 4

[User]
in an election, candidate a got 75 % of the total valid votes. if 15 % of the total votes were declared invalid and the total numbers of votes is 560000, find the number of valid vote polled in favour of candidate.
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[Assistant] 357000

[User]
there is a 40 cm line marked at each centimeter and an insect is placed at every centimeter. 9 frogs are trained to jump a constant distance. the first one jumps 2 cm in every leap, the second one jumps 3 cm and so on until the 9 th one jumps 10 cm in every leap and they eat any insect that is available at that spot. if all of them start from start line and finish the entire 40 cm, how many insects were still left after the race was over?
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[Assistant] 8

[User]
the average salary of all the workers in a workshop is $ 1000. the average salary of 5 technicians is $ 5000 and the average salary of the rest is $ 500. the total number of workers in the shop is?
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[Assistant] 25


[User]
you have been given a physical balance and 7 weights of 43, 45, 30, 33, 28, 37 and 55 kgs. keeping weights on one pan and object on the other, what is the maximum you can weigh less than 145 kgs.
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[Assistant] 143

[User]
united telephone charges a base rate of $ 11.00 for service, plus an additional charge of $ 0.25 per minute. atlantic call charges a base rate of $ 12.00 for service, plus an additional charge of $ 0.20 per minute. for what number of minutes would the bills for each telephone company be the same?
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[Assistant] 20 minutes

[User]
if the ratio of a to b is 8 to 3 and the ratio of b to c is 1 to 5, what is the ratio of a to c?
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[Assistant] 8 / 15

[User]
the least number which when divided by 5, 67 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is :
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[Assistant] 1683

[User]
the monthly incomes of a and b are in the ratio 5 : 2. b's monthly income is 12 % more than c's monthly income. if c's monthly income is rs. 16000, then find the annual income of a?
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[Assistant] rs. 537600


[User]
1, 13, 35, 67, 109, ____
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[Assistant] 161

[User]
two cars start from the opposite places of a main road, 150 km apart. first car runs for 25 km and takes a right turn and then runs 15 km. it then turns left and then runs for another 25 km and then takes the direction back to reach the main road. in the mean time, due to minor break down the other car has run only 35 km along the main road. what would be the distance between two cars at this point?
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[Assistant] 65

[User]
a sum of money at simple interest amounts to rs. 820 in 3 years and to rs. 854 in 4 years. the sum is :
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[Assistant] 718

[User]
what is the least number. which should be added to 0.0568 to make it a perfect square?
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[Assistant] 0.0008

[User]
the average of first five multiples of 5 is :
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[Assistant] 15


[User]
a cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.1 m and its walls are 5 cm thick. the thickness of the bottom is :
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[Assistant] 1 dm

[User]
a theater charges $ 12 for seats in the orchestra and $ 8 for seats in the balcony. on a certain night, a total of 380 tickets were sold for a total cost of $ 3,320. how many more tickets were sold that night for seats in the balcony than for seats in the orchestra?
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[Assistant] 240

[User]
in an electric circuit, two resistors with resistances x and y are connected in parallel. if r is the combined resistance of these two resistors, then the reciprocal of r is equal to the sum of the reciprocals of x and y. what is r if x is 5 ohms and y is 6 ohms?
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[Assistant] 30 / 11

[User]
in a practice paper at 2 iim. com, questions were given from 5 topics. out of the appearing students, 10 % passed in all topics while 10 % did not pass in any. of the remaining, 20 % passed in one topic only and 25 % in two topics only. if 24 % of the total students passed 4 topics only and 500 students passed in 3 topics only, find the total number of students who appeared in the examination?
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[Assistant] 2500

[User]
a person buys an article at rs. 650. at what price should he sell the article so as to make a profit of 10 %?
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[Assistant] 715


[User]
wink, inc. follows a certain procedure that requires two tasks to be finished independently in order for a job to be done. on any given day, there is a 7 / 8 probability that task 1 will be completed on time, and a 1 / 5 probability that task 2 will be completed on time. on a certain day, what is the probability that task 1 will be completed on time, but task 2 will not?
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[Assistant] 7 / 10

[User]
a mixture contains milk and water in the ratio 3 : 2. on adding 10 litters of water, the ratio of milk to water becomes 2 : 3. total quantity of milk & water before adding water to it?
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[Assistant] 20

[User]
a drink vendor has 80 liters of maaza, 144 liters of pepsi and 368 liters of sprite. he wants to pack them in cans, so that each can contains the same number of liters of a drink, and does n't want to mix any two drinks in a can. what is the least number of cans required?
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[Assistant] 37

[User]
( 112 % of 2348 ) ÷ 4.98 =?
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[Assistant] 525

[User]
the unit digit in the product 1256 * 6785 * 4587 * 9785 is?
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[Assistant] 0


[User]
a man can row upstream at 60 kmph and downstream at 90 kmph, and then find the speed of the man in still water?
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[Assistant] 75 kmph

[User]
a train running at the speed of 52 km / hr crosses a pole in 9 sec. what is the length of the train?
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[Assistant] 130 m

[User]
find the sum lend at c. i. at 5 p. c per annum will amount to rs. 441 in 2 years?
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[Assistant] 400

[User]
solve the quickfire maths brain teaser â ˆ š 36 % =?
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[Assistant] 60 %

[User]
a salesman ’ s terms were changed from a flat commission of 5 % on all his sales to a fixed salary of rs. 900 plus 2.5 % commission on all sales exceeding rs. 4,000. if his remuneration as per new scheme was rs. 600 more than that by the previous schema, his sales were worth?
Answer the question using a single word or phrase.

[Assistant] 10000


[User]
jaime earned enough money by selling seashells at 30 cents each to buy several used paperback books at 55 cents each. if he spent all of the money he earned selling seashells to buy the books, what is the least number of seashells he could have sold?
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[Assistant] 22

[User]
a car gets 40 kilometers per gallon of gasoline. how many gallons of gasoline would the car need to travel 180 kilometers?
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[Assistant] 4.5 gallons

[User]
what is the area of a square field whose diagonal of length 18 m?
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[Assistant] 180 sq m

[User]
a car covers a distance of 624 km in 3 1 / 5 hours. find its speed?
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[Assistant] 195 kmph

[User]
a train which has 400 m long, is running 45 kmph. in what time will it cross a person moving at 9 kmph in same direction?
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[Assistant] 40 sec


[User]
if an integer n is to be selected at random from 1 to 100, inclusive, what is probability n ( n + 1 ) will be divisible by 5?
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[Assistant] 2 / 5

[User]
each of the integers from 0 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into a hat. if 4 of the slips are the drawn, without replacement, what is the probability that all 4 have a odd number written on it?
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[Assistant] 1 / 42

[User]
a superhero flies at an incredible rate of 1000 kilometers per minute. what is her speed in miles per hour? [ 1 km = 0.6 miles ]
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[Assistant] 36000

[User]
5100 − ( 102 ÷ 20.4 ) =?
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[Assistant] 5095

[User]
what least number should be subtracted from 13603 such that the remainder is divisible by 87?
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[Assistant] 31


[User]
two cars started from the same point, at 5 am, traveling in opposite directions at 40 and 50 mph respectively. at what time will they be 450 miles apart?
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[Assistant] 10 am

[User]
if 8 men or 12 women can do a piece of work in 20 days, in how many days can the same work be done by 6 men and 11 women?
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[Assistant] 12 days

[User]
3 men can complete a piece of work in 6 days. two days after they started the work, 3 more men joined them. how many days will they take to complete the remaining work?
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[Assistant] 2

[User]
rates for having a manuscript typed at a certain typing service are $ 6 per page for the first time a page is typed and $ 4 per page each time a page is revised. if a certain manuscript has 100 pages, of which 35 were revised only once, 15 were revised twice, and the rest required no revisions, what was the total cost of having the manuscript typed?
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[Assistant] $ 860

[User]
the perimeter of a semi circle is 216 cm then the radius is?
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[Assistant] 42


[User]
a train 360 metre long runs with a speed of 45 km / hr. what time will it take to pass a platform of 140 metre long?
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[Assistant] 40

[User]
the events a and b are independent, the probability that event a occurs is greater than 0, and the probability that event a occurs is twice the probability that event b occurs. the probability that at least one of events a and b occurs is 18 times the probability that both events a and b occur. what is the probability that event a occurs?
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[Assistant] 3 / 19

[User]
a student got twice as many sums wrong as he got right. if he attempted 24 sums in all, how many did he solve correctly?
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[Assistant] 8

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

[User]
a fashion designer sold a pair of jeans to a retail store for 40 percent more than it cost to manufacture the pair of jeans. a customer bought the pair of jeans for 10 percent more than the retailer paid for them. the price the customer paid was what percent greater than the cost of manufacturing the jeans?
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[Assistant] 54 %


[User]
the time it took car p to travel 900 miles was 2 hours less than the time it took car r to travel the same distance. if car p ’ s average speed was 10 miles per hour greater than that of car r, what was car r ’ s average speed, in miles per hour?
Answer the question using a single word or phrase.

[Assistant] 62

[User]
how many seconds will a 400 m 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?
Answer the question using a single word or phrase.

[Assistant] 24

[User]
a certain company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales in 1997 were up 7 percent from 1996. if total revenues from car sales and truck sales in 1997 were up 1 percent from 1996, what is the ratio of revenue from car sales in 1996 to revenue from truck sales in 1996?
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[Assistant] 1 : 2

[User]
a sum was put at simple interest at a certain rate for 10 years. had it been put at 5 % higher rate, it would have fetched rs. 150 more. what was the sum?
Answer the question using a single word or phrase.

[Assistant] s. 300

[User]
12 men can complete a piece of work in 4 days, while 15 women can complete the same work in 4 days. 6 men start working on the job and after working for 2 days, all of them stopped working. how many women should be put on the job to complete the remaining work, if it so to be completed in 3 days?
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[Assistant] 15 women


[User]
two numbers are respectively 12 % and 60 % more than a third number. the percentage that is first of the second is?
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[Assistant] 70 %

[User]
buses a and b start from a common bus stop x. bus a begins to travel in a straight line away from bus b at a constant rate of 40 miles per hour. one hour later, bus b begins to travel in a straight line in the exact opposite direction at a constant rate of 80 miles per hour. if both buses travel indefinitely, what is the positive difference, in minutes, between the amount of time it takes bus b to cover the exact distance that bus a has covered and the amount of time it takes bus b to cover twice the distance that bus a has covered?
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[Assistant] 72

[User]
a train 125 m long passes a man, running at 8 km / hr in the same direction in which the train is going, in 10 seconds. the speed of the train is :
Answer the question using a single word or phrase.

[Assistant] 53

[User]
when tossed, a certain coin has an equal probability of landing on either side. if the coin is tossed 5 times, what is the probability that it will land on the same side each time?
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[Assistant] 1 / 16

[User]
the closest approximation of d ( 69.28 × 0.004 ) / 0.03 is
Answer the question using a single word or phrase.

[Assistant] 9.2


[User]
in a 1000 m race, a beats b by 200 meters or 25 seconds. find the speed of b?
Answer the question using a single word or phrase.

[Assistant] 8 m / s

[User]
robert's salary was decreased by 50 % and subsequently increased by 50 %. how much percentage does he lose?
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[Assistant] 25 %

[User]
the average age of 10 members of a committee is the same as it was 4 years ago, because an old member has been replaced by a young member. find how much younger is the new member?
Answer the question using a single word or phrase.

[Assistant] 40

[User]
tea worth rs. 126 per kg are mixed with a third variety in the ratio 1 : 1 : 2. if the mixture is worth rs. 157 per kg, the price of the third variety per kg will be
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[Assistant] rs. 179.50

[User]
if 75 percent of 600 is 50 percent of x, then x =?
Answer the question using a single word or phrase.

[Assistant] 900


[User]
there were 35 students in a hostel. due to the admission of 7 new students, the expenses of mess were increased by 42 per day while the average expenditure per head diminished by 1. what was the original expenditure of the mess?
Answer the question using a single word or phrase.

[Assistant] 400

[User]
a person can row at 10 kmph and still water. he takes 5 hours to row from a to b and back. what is the distance between a and b if the speed of the stream is 2 kmph?
Answer the question using a single word or phrase.

[Assistant] 24 km

[User]
a tour group of 25 people paid a total of $ 945 for entrance to a museum. if this price included a 5 % sales tax, and all the tickets cost the same amount, what was the face value of each ticket price without the sales tax? choices
Answer the question using a single word or phrase.

[Assistant] $ 36

[User]
carrie likes to buy t - shirts at the local clothing store. they cost $ 8.55 each. one day, she bought 9 t - shirts. how much money did she spend?
Answer the question using a single word or phrase.

[Assistant] $ 73.1025

[User]
what is the average of the first 10 multiples of 11?
Answer the question using a single word or phrase.

[Assistant] 60.5


[User]
a miniature roulette wheel is divided into 10 equal sectors, each bearing a distinct integer from 1 to 10, inclusive. each time the wheel is spun, a ball randomly determines the winning sector by settling in that sector. if the wheel is spun four times, approximately what is the probability that the product of the four winning sectors ’ integers will be even?
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[Assistant] 94 %

[User]
the diagonals of a rhombus are 25 cm and 30 cm. find its area?
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[Assistant] 375

[User]
what is 120 % of 13 / 24 of 840?
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[Assistant] 546

[User]
the avg weight of a, b & c is 84 kg. if d joins the group, the avg weight of the group becomes 80 kg. if another man e who weights is 5 kg more than d replaces a, then the avgof b, c, d & e becomes 79 kg. what is the weight of a?
Answer the question using a single word or phrase.

[Assistant] 77

[User]
at golds gym class can be divided into 8 teams with an equal number of players on each team or into 12 teams with an equal number of players on each team. what is the lowest possible number of students in the class?
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[Assistant] 24


[User]
how many internal diagonals does a hexagon ( 6 sided polygon ) have?
Answer the question using a single word or phrase.

[Assistant] 9

[User]
a man sells an article at a profit of 25 %. if he had bought it at 20 % less and sold it for rs. 14.70 less, he would have gained 30 %. find the cost of the article.
Answer the question using a single word or phrase.

[Assistant] 70

[User]
find the principle on a certain sum of money at 5 % per annum for 2 2 / 5 years if the amount being rs. 1568?
Answer the question using a single word or phrase.

[Assistant] 1400

[User]
the average ( arithmetic mean ) of the even integers from 0 to 200 inclusive is how much greater than the average ( arithmetic mean ) of the even integers from 0 to 100 inclusive?
Answer the question using a single word or phrase.

[Assistant] 50

[User]
by selling 22 pencils for a rupee a man loses 20 %. how many for a rupee should he sell in order to gain 20 %?
Answer the question using a single word or phrase.

[Assistant] 33


[User]
solve the equation for x : 19 ( x + y ) + 17 = 19 ( - x + y ) - 21
Answer the question using a single word or phrase.

[Assistant] - 1

[User]
how many seconds will a 700 m 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?
Answer the question using a single word or phrase.

[Assistant] 42 sec

[User]
two concentric circles form a ring. the inner and outer circumferences of ring are ( 352 / 7 ) m and ( 518 / 7 ) m respectively. find the width of the ring.
Answer the question using a single word or phrase.

[Assistant] 4

[User]
a person decided to build a house in 100 days. he employed 100 men in the beginning and 100 more after 25 days and completed the construction in stipulated time. if he had not employed the additional men, how many days behind schedule would it have been finished?
Answer the question using a single word or phrase.

[Assistant] 5

[User]
the initial price of an article is rs. 4000 which increases 40 % increse in its price in the first year, a 20 % decrease in the second year and a 20 % increase in the next year. what is the final price of the article?
Answer the question using a single word or phrase.

[Assistant] rs. r 4928


[User]
if a motorist had driven 1 hour longer on a certain day and at an average rate of 5 miles per hour faster, he would have covered 70 more miles than he actually did. how many more miles would he have covered than he actually did if he had driven 2 hours longer and at an average rate of 10 miles per hour faster on that day?
Answer the question using a single word or phrase.

[Assistant] 150 miles

[User]
a glass was filled with 40 ounces of water, and 0.01 ounce of the water evaporated each day during a 20 - day period. what percent of the original amount of water evaporated during this period?
Answer the question using a single word or phrase.

[Assistant] 0.5 %

[User]
a family pays $ 800 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] $ 1,600

[User]
mike and his friend are going on a road trip and hoping to miss traffic. if they are driving at a rate of 6 miles per minute, what is their speed in kilometers per hour? [ 1 km = 0.6 miles ]
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[Assistant] 600

[User]
the amount of an investment will double in approximately 70 / p years, where p is the percent interest, compounded annually. if thelma invests $ 30,000 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 42 years later?
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[Assistant] $ 240,000


[User]
the average weight of 10 students decreases by 6 kg when one of them weighing 120 kg is replaced by a new student. the weight of the student is
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[Assistant] 60 kg

[User]
each week, harry is paid x dollars per hour for the first 30 hours and 2 x dollars for each additional hour worked that week. each week, james is paid x dollars per per hour for the first 40 hours and 2 x dollars for each additional hour worked that week. last week james worked a total of 41 hours if harry and james were paid the same amount last week, how many hours did harry work last week?
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[Assistant] 36

[User]
the sum of 3 numbers is 98. the ratio of the first to the second is 2 / 3, and the ratio of the second to the third is 5 / 8. the second number is :
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[Assistant] 30

[User]
a trader sold an article on a certain price with 20 % profit. if he sold double of previous selling price then find its profit %
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[Assistant] 140 %

[User]
if a and b get profits of rs. 6000 and rs. 4000 respectively at the end of year the ratio of their investments are?
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[Assistant] 3 : 2


[User]
the time taken by a man 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 57 kmph, find the speed of the stream?
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[Assistant] 19

[User]
a dishonest dealer professes to sell goods at the cost price but uses a weight of 650 grams per kg, what is his percent?
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[Assistant] 53.8 %

[User]
the slant height of a cone is 12 cm and radius of the base is 4 cm, find the curved surface of the cone.
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[Assistant] 48

[User]
what is the remainder when ( 55 ) ( 57 ) is divided by 7?
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[Assistant] 6

[User]
the sum of ages of 4 children born 2 years different each is 40 yrs. what is the age of the elder child?
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[Assistant] 13


[User]
the ratio, by volume, of bleach to detergent to water in a certain solution is 2 : 40 : 100. the solution will be altered so that the ratio of bleach to detergent is tripled while the ratio of detergent to water is halved. if the altered solution will contain 200 liters of water, how many liters of detergent will it contain?
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[Assistant] 40

[User]
a tank is 25 m long 12 m wide and 6 m deep. the cost of plastering its walls and bottom at 75 paise per sq m is
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[Assistant] rs. 558

[User]
it takes printer a 4 more minutes more than printer b to print 40 pages. working together, the two printers can print 50 pages in 6 minutes. how long will it take printer a to print 140 pages?
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[Assistant] 42

[User]
there is a total of 100 marbles in a box, each of which is red, green, blue, or white. if one marble is drawn from the box at random, the probability that it will be white is 1 / 4 and the probability that it will be green is 1 / 5. what is the probability that the marble will be either red or blue?
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[Assistant] 11 / 20

[User]
you and your friend spent a total of $ 11 for lunch. your friend spent $ 3 more than you. how much did your friend spend on their lunch?
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[Assistant] $ 7


[User]
what is the square root of 9?
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[Assistant] 3

[User]
3 business people wish to invest in a new company. each person is willing to pay one third of the total investment. after careful calculations, they realize that each of them would pay $ 2200 less if they could find two more equal investors. how much is the total investment in the new business?
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[Assistant] $ 16,500

[User]
haresh went to buy fruits. she bought 1 apple, 3 bananas, 5 oranges and paid 21 rupees. another person bought 7 apple, 5 bananas, 3 oranges and paid 51 rupees. if i want to buy 1 apple, 1 banana, 1 orange then how much i have to pay?
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[Assistant] 9

[User]
mahesh can do a piece of work in 60 days. he works at it for 20 days and then rajesh finished it in 30 days. how long will y take to complete the work?
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[Assistant] 45

[User]
a land owner needs to fence his semicircular land leaving an opening of length of 3 m for access. the radius of the semicircular plot is 7 m. how long would be the fence in meters?
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[Assistant] 33


[User]
stacy has a 66 page history paper due in 6 days. how many pages per day would she have to write to finish on time?
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[Assistant] 11

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

[User]
diana took out a charge account at the general store and agreed to pay 7 % simple annual interest. if she charges $ 75 on her account in january, how much will she owe a year later, assuming she does not make any additional charges or payments?
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[Assistant] $ 80.25

[User]
a rower whose speed is 9 km / hr in still water rows to a certain point upstream and back to the starting point in a river which flows at 3 km / hr. what is the rower's average speed ( in km / hr ) for the total journey?
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[Assistant] 8

[User]
a man completes of a job in 10 days. at this rate, how many more days will it takes him to finish the job?
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[Assistant] 6


[User]
in a sample of 800 high school students in which all students are either freshmen, sophomores, juniors, or seniors, 22 percent are juniors and 74 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] 48

[User]
a student needs 60 % of the marks on a test to pass the test. if the student gets 80 marks and fails the test by 100 marks, find the maximum marks set for the test.
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[Assistant] 300

[User]
a football player scores 2 goals in his fifth match thus increasing his average goals score by 0.1. the total number of goals in his 5 matches would be
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[Assistant] 8

[User]
if the weight of 12 meters long rod is 14 kg. what is the weight of 6 meters long rod?
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[Assistant] 7 kg.

[User]
a man can row downstream at 18 kmph and upstream at 16 kmph. find the speed of the man in still water and the speed of stream respectively?
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[Assistant] 17, 1


[User]
the length of the bridge, which a train 160 meters long and travelling at 45 km / hr can cross in 30 seconds, is :
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[Assistant] 215

[User]
yesterday's closing prices of 1,760 different stocks listed on a certain stock exchange were all different from today's closing prices. the number of stocks that closed at a higher price today than yesterday was 20 percent greater than the number that closed at a lower price. how many of the stocks closed at a higher price today than yesterday?
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[Assistant] 960

[User]
if a certain toy store's revenue in november was 2 / 5 of its revenue in december and its revenue in january was 1 / 5 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?
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[Assistant] 25 / 6

[User]
john was thrice as old as tom 6 years ago. john will be 3 / 2 times as old as tom in 6 years. how old is tom today?
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[Assistant] 10

[User]
a rainstorm increased the amount of water stored in state j reservoirs from 130 billion gallons to 160 billion gallons. if the storm increased the amount of water in the reservoirs to 60 percent of total capacity, approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm?
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[Assistant] 136.67