[User]
if n = 2.0823 and n * is the decimal obtained by rounding n to the nearest hundredth, what is the value of n * – n?
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[Assistant] - 0.0023

[User]
if jack walked 7 miles in 1 hour and 15 minutes, what was his rate of walking in miles per hour?
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[Assistant] 5.6

[User]
a grocery shop has a sale of rs. 6635, 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] 4791

[User]
a car gets 40 kilometers per gallon of gasoline. how many gallons of gasoline would the car need to travel 150 kilometers?
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[Assistant] 3.75 gallons

[User]
a fellow borrowed a certain sum of money at 5 % per annum at simple interest and in 5 years the interest amounted to rs. 2250 less than the sum lent. what was the sum lent?
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[Assistant] 3000


[User]
in a certain country 1 / 3 of 4 = 8. assuming the same proportion, what would be the value of 1 / 8 of 4?
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[Assistant] 3

[User]
the average age of a group of 12 students is 20 years. if 4 more students join the group, the average age increases by 1 year. the average age of the new students is
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[Assistant] 24

[User]
golu started from his house towards north. after covering a distance of 8 km. he turned towards left and covered a distance of 6 km. what is the shortest distance now from his house?
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[Assistant] 10 km.

[User]
a tank can be filled by a tap in 20 minutes and by another tap in 60 minutes. both the taps are kept open for 10 minutes and then the first tap is shut off. after this, the tank will be completely filled in what time?
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[Assistant] 20 mins

[User]
renu can do a piece of work in 6 days, but with the help of her friend suma, she can do it in 3 days. in what time suma can do it alone?
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[Assistant] 6


[User]
an engineer undertakes a project to build a road 15 km long in 300 days and employs 50 men for the purpose. after 100 days, he finds only 2.5 km of the road has been completed. find the ( approximate ) number of extra men he must employ to finish the work in time.
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[Assistant] c. 75

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

[User]
a is twice as fast as b. if b alone can do a piece of work in 24 days, in what time can a and b together complete the work?
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[Assistant] 8

[User]
the owner of a furniture shop charges his customer 32 % more than the cost price. if a customer paid rs. 5400 for a computer table, then what was the cost price of the computer table?
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[Assistant] rs. 4090

[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 : 00 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 : 00


[User]
a vendor buys 10 t - shirts at an average price of $ 14 per t - shirt. he then buys 15 more t - shirts at an average price of $ 11 per t - shirt. what is the average price b per t - shirt that the vendor paid for these purchases?
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[Assistant] $ 12.20

[User]
a number x is 8 times another number y. the percentage that y is less than x is
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[Assistant] 87.5 %

[User]
if 20 typists can type 44 letters in 20 minutes, then how many letters will 30 typists working at the same rate complete in 1 hour?
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[Assistant] 198

[User]
if ( 1 / 5 ) ^ m * ( 1 / 2 ) ^ 5 = 1 / ( ( 10 ) ^ 5 ), then m =
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[Assistant] 5

[User]
amithab's average expenditure for the january to june is rs. 4200 and he spends rs. 1200 in january and rs. 1500 in july. the average expenditure for the months of febraury to july is :
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[Assistant] rs. 4250


[User]
a doctor prescribed 18 cubic centimeters of a certain drug to a patient whose body weight was 105 pounds. if the typical dosage is 2 cubic centimeters per 15 pounds of the body weight, by what percent was the prescribed dosage greater than the typical dosage?
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[Assistant] 14.28 %

[User]
a discount electronics store normally sells all merchandise at a discount of 5 percent to 45 percent off the suggested retail price. if, during a special sale, an additional 2 percent were to be deducted from the discount price, what would be the lowest possible price of an item costing $ 400 before any discount?
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[Assistant] $ 215.60

[User]
a man sold 20 articles for $ 40 and gained 20 %. how many articles should he sell for $ 90 to incur a loss 20 %?
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[Assistant] 67.5

[User]
two trains are moving in the same direction at 162 kmph and 18 kmph. the faster train crosses a man in the slower train in 33 seconds. find the length of the faster train?
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[Assistant] 1320

[User]
a man engaged a servant on the condition that he would pay him rs. 900 and a uniform after 1 year service. he served only for 9 months and receiveduniform and rs. 650, find the price of the uniform?
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[Assistant] rs. 100


[User]
500 x 223 + 500 x 77 =?
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[Assistant] 150000

[User]
how many factors of 220 are odd numbers greater than 1?
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[Assistant] 3

[User]
in xyz business school, 88 % are taking their specialization as finance at the same time 76 % taking their specialization as marketing. if 90 % are taking their specialization as finance then, what is % of marketing specialization students?
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[Assistant] 43

[User]
the figure above shows the dimensions of a semicircular cross section of a one - way tunnel. the single traffic lane is 12 feet wide and is equidistant from the sides of the tunnel. if vehicles must clear the top of the tunnel by at least ½ foot when they are inside the traffic lane, what should be the limit y on the height of vehicles that are allowed to use the tunnel?
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[Assistant] 7 ½ ft

[User]
in the rectangular coordinate system, points ( 4, 0 ) and ( – 4, 0 ) both lie on circle c. what is the maximum possible value of the radius of c
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[Assistant] 4


[User]
on a map, 3 centimeters represents 33 kilometers. two cities 209 kilometers apart would be separated on the map by how many centimeters?
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[Assistant] 19

[User]
a boat can travel with a speed of 5 km / hr in still water. if the speed of the stream is 5 km / hr, find the time taken by the boat to go 100 km downstream.
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[Assistant] 10 hrs

[User]
when f is divided by 5, the remainder is 3. when y is divided by 5, the remainder is 4. what is the remainder when f + y is divided by 5?
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[Assistant] 2

[User]
the side of a rhombus is 24 m and length of one of its diagonals is 18 m. the area of the rhombus is?
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[Assistant] 400.47

[User]
the average salary of all the workers in a workshop is rs. 8000. the average salary of 7 technicians is rs. 12000 and the average salary of the rest is rs. 6000. the total number of workers in the workshop is :
Answer the question using a single word or phrase.

[Assistant] 21


[User]
one night a certain hotel rented 2 / 3 of its rooms, including 2 / 3 of their air conditioned rooms. if 3 / 5 of its rooms were air conditioned, what percent of the rooms that were not rented were air conditioned?
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[Assistant] 60 %

[User]
a car travels at a speed of 55 miles per hour. how far will it travel in 5 hours?
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[Assistant] 275 miles

[User]
every second saturday and all sundays are holidays. how many working days will be there in a month of 30 days beginning on a saturday?
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[Assistant] 23

[User]
the present age of a father is 3 years more than 3 times the age of his son. 3 years hence, father ’ s age will be 10 years more than twice athe age of the son. find the present age of the father.
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[Assistant] 33

[User]
find number which is 60 % less than 80.
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[Assistant] 32


[User]
a cricket bat is sold for $ 850, making a profit of $ 230. the profit percentage would be
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[Assistant] 37 %

[User]
a factory produces 5500 toys per week. if the workers at this factory work 4 days a week and if these workers make the same number of toys everyday, how many toys are produced each day?
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[Assistant] 1375 toys

[User]
if g is the smallest positive integer such that 3150 multiplied by g is the square of an integer, then g must be
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[Assistant] 14

[User]
? % of 360 = 108.0
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[Assistant] 30

[User]
two numbers are in the ratio of 1 : 2. if 7 be added to both, their ratio changes to 3 : 5. the greater number is
Answer the question using a single word or phrase.

[Assistant] 28


[User]
find the numbers which are in the ratio 3 : 2 : 1 such that the sum of the first and the second added to the difference of the third and the second is 16?
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[Assistant] 12, 8,4

[User]
a, b and c rent a pasture. if a puts 10 oxen for 7 months, b puts 12 oxen for 5 months and c puts 15 oxen for 3 months for grazing and the rent of the pasture is rs. 175, then how much amount should c pay as his share of rent?
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[Assistant] 45

[User]
a discount electronics store normally sells all merchandise at a discount of 10 percent to 30 percent off the suggested retail price. if, during a special sale, an additional 15 percent were to be deducted from the discount price, what would be the lowest possible price of an item costing $ 260 before any discount?
Answer the question using a single word or phrase.

[Assistant] $ 154.70

[User]
a grocer purchased a quantity of bananas at 3 pounds for $ 0.50 and sold the entire quantity at 4 pounds for $ 1.00. how many pounds did the grocer purchase if the profit from selling the bananas was $ 7.00?
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[Assistant] 84

[User]
96 % of the population of a village is 23040. the total population of the village is?
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[Assistant] 24000


[User]
solve the equation for x : 6 x - 87 + 3 x = 4 + 9 - x
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[Assistant] 10

[User]
water consists of hydrogen and oxygen, and the approximate ratio, by mass, of hydrogen to oxygen is 2 : 16. approximately how many grams of oxygen are there in 117 grams of water?
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[Assistant] 104

[User]
the average monthly salary of 20 employees in an organisation is rs. 1200. if the manager's salary is added, then the average salary increases by rs. 100. what is the manager's monthly salary?
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[Assistant] 3300

[User]
the ages of patrick and michael are in the ratio of 3 : 5 and that of michael and monica are in the ratio of 3 : 5. if the sum of their ages is 141, what is the difference between the ages of patrick and monica?
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[Assistant] 48

[User]
there are 408 boys and 288 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] 29


[User]
what is the units digit of the expression 14 ^ 7 − 17 ^ 4?
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[Assistant] 8

[User]
a certain experimental mathematics program was tried out in 2 classes in each of 42 elementary schools and involved 55 teachers. each of the classes had 1 teacher and each of the teachers taught at least 1, but not more than 3, of the classes. if the number of teachers who taught 3 classes is n, then the least and greatest possible values of n, respectively, are
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[Assistant] 0 and 14

[User]
if a no. when divided by 44, gives 432 as quotient and 0 as remainder. what will be the remainder when dividing the same no. by 35
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[Assistant] 3

[User]
if a ^ 4 + b ^ 4 = 100, then the greatest possible value of b is between
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[Assistant] 3 and 4

[User]
in how many years will a sum of money doubles itself at 5 % per annum on simple interest?
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[Assistant] 20


[User]
how many different ways can 2 students be seated in a row of 7 desks, so that there is always at least one empty desk between the students?
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[Assistant] 30

[User]
the ratio of 2 numbers is 5 : 2 and their h. c. f. is 20. their l. c. m. is?
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[Assistant] 200

[User]
what is the greatest possible length which can be used to measure exactly the lengths 180 m, 500 m and 15 m 20 cm?
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[Assistant] 80 cm

[User]
an order was placed for a carpet whose length and width were in the ratio of 3 : 2. subsequently, the dimensions of the carpet were altered such that its length and width were in the ratio 4 : 3 but were was no change in its perimeter. what is the ratio of the areas of the carpets?
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[Assistant] 49 : 50

[User]
a group of people participate in some curriculum, 25 of them practice yoga, 15 study cooking, 8 study weaving, 2 of them study cooking only, 7 of them study both the cooking and yoga, 3 of them participate all curriculums. how many people study both cooking and weaving?
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[Assistant] 3


[User]
a car travels first 160 km at 70 km / hr and the next 160 km at 80 km / hr. what is the average speed for the first 320 km of the tour?
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[Assistant] 74.66

[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 favor of candidate.
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[Assistant] 357000

[User]
joe ’ s average ( arithmetic mean ) test score across 4 equally weighted tests was 90. he was allowed to drop his lowest score. after doing so, his average test score improved to 95. what is the lowest test score that was dropped?
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[Assistant] 75

[User]
john found that the average of 15 numbers is 40. if 15 is added to each number then the mean of number is?
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[Assistant] 55

[User]
357 : 73 : :?
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[Assistant] 429 : 94


[User]
scott's average ( arithmetic mean ) golf score on his first 4 rounds was 78. what score does he need on his fifth round to drop his average score by 2 points?
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[Assistant] 68

[User]
in 15 year ’ s time the combined age of my 4 brothers will be 107. what will it be in the 6 year ’ s time?
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[Assistant] 71

[User]
a, b and c have rs. 600 between them, a and c together have rs. 250 and b and c rs. 450. how much does c have?
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[Assistant] 100

[User]
a store reduced the price of all items in the store by 15 % on the first day and by another 10 % on the second day. the price of items on the second day was what percent of the price before the first reduction took place?
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[Assistant] 76.5

[User]
an equal number of desks and bookcases are to be placed along a library wall that is 15 meters long. each desk is 2 meters long, and each bookshelf is 1.5 meters long. if the maximum possible number of desks and bookcases are to be placed along the wall, then the space along the wall that is left over will be how many meters k long?
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[Assistant] 1


[User]
my grandson is about as many days as my son in weeks, and my grandson is as many months as i am in years. my grandson, my son and i together are 140 years. can you tell me my age in years?
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[Assistant] 84

[User]
if money is invested at r percent interest, compounded annually, the amount of the investment will double in approximately 50 / r years. if luke's parents invested $ 15,500 in a long term bond that pays 12 percent interest compounded annually, what will be the approximate total amount of the investment 12 years later, when luke is ready for college?
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[Assistant] 120,000

[User]
there are 361 doctors and nurses in a hospital. if the ratio of the doctors to the nurses is 8 : 11, then how many nurses are there in the hospital?
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[Assistant] 152

[User]
20 is to be divided into two parts such that the sum of 10 times the first and 22 times the second is 780. the bigger part is :
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[Assistant] 28.33

[User]
a chartered bank offers a 5 - year escalator guaranteed investment certificate. in successive years it pays annual interest rates of 4 %, 4.5 %, 5 %, 5.5 %, and 6 %, respectively, compounded at the end of each year. the bank also offers regular 5 - year gics paying a fixed rate of 5 % compounded annually. calculate and compare the maturity values of $ 1000 invested in each type of gic. ( note that 5 % is the average of the 5 successive one - year rates paid on the escalator gic. )
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[Assistant] 1276.28


[User]
on a trip covering 350 km, a bicyclist travels the first 200 km at 20 km per hour and the remainder of the distance at 15 km per hour. what is the average speed, in km per hour, for the entire trip?
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[Assistant] 17.5

[User]
how many seconds will a 1200 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?
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[Assistant] 72 sec

[User]
the ratio of two quantities is 3 to 4. if each of the quantities is increased 4 and 3 respectively, what is the ratio of these two new quantities?
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[Assistant] it can not be determined from the information given

[User]
the area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of rs. 1.30 per meter. two gates of 1 m width each are to be left for entrance. what is the total cost?
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[Assistant] 865.8

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


[User]
an aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. to cover the same distance in 1 2 / 3 hours, it must travel at a speed of :
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[Assistant] 720 kmph

[User]
in arun's company 60 % of the employees earn less than $ 50000 a year, 60 % of the employees earn more than $ 40000 a year, 11 % of the employees earn $ 43000 a year and 5 % of the employees earn $ 49000 a year. what is the median salary for the company?
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[Assistant] 43.0

[User]
50 square stone slabs of equal size were needed to cover a floor area of 72 sq. m. find the length of each stone slab?
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[Assistant] 120 cm

[User]
a certain company reported that the revenue on sales increased 40 % from 2000 to 2003, and increased 90 % from 2000 to 2005. what was the approximate percent increase in revenue for this store from 2003 to 2005?
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[Assistant] 36 %

[User]
the number of the members of a club is more than 20 and less than 50. when 5 people sit at a table, other people exactly divided to 6 - people groups ( 6 people sit at a table ) or 7 - people groups ( 7 people sit at a table ). if the members are divided to 8 - people groups, how many people will be left?
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[Assistant] 7


[User]
a train 300 m long is running at a speed of 68 kmph. how long does it take to pass a man who is running at 8 kmph in the same direction as the train?
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[Assistant] 18 sec

[User]
at the store opening, larry's grocery had 50 lemons and 60 oranges. by closing, the store at 20 lemons and 40 oranges left. by approximately what percent did the ratio of lemons to orange decrease from opening to closing.
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[Assistant] 40.0 %

[User]
what is the 27 th digit to the right of the decimal point in the decimal form of 5 / 11?
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[Assistant] 4

[User]
if x is a positive integer with fewer than 3 digits, what is the probability that z x * ( x + 1 ) is a multiple of either 4 or 5?
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[Assistant] 86 / 99

[User]
the cash realised on selling a 14 % stock is rs. 108.25, brokerage being 1 / 4 % is
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[Assistant] 108


[User]
if y is 40 % greater than x, than x is what % less than y?
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[Assistant] 28.6 %

[User]
a luxury liner, queen marry ii, is transporting several cats as well as the crew ( sailors, a cook, and one - legged captain ) to a nearby port. altogether, these passengers have 16 heads and 41 legs. how many cats does the ship host?
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[Assistant] 5

[User]
in a fuel station the service costs $ 1.75 per car, every liter of fuel costs 0.85 $. assuming that a company owns 12 cars and that every fuel tank contains 55 liters and they are all empty, how much money total will it cost to fuel all cars?
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[Assistant] 582 $

[User]
what sum of money will produce rs. 75 as simple interest in 4 years at 3 1 / 2 percent?
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[Assistant] 536

[User]
income and expenditure of a person are in the ratio 5 : 4. if the income of the person is rs. 16000, then find his savings?
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[Assistant] 3200


[User]
a certain fraction has the same ratio to 1 / 33, as 3 / 4 does to 7 / 11. what is this certain fraction?
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[Assistant] 1 / 28

[User]
a certain car increased its average speed by 5 miles per hour in each successive 5 - minute interval after the first interval. if in the first 5 - minute interval its average speed was 38 miles per hour, how many miles did the car travel in the third 5 - minute interval?
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[Assistant] 4.0

[User]
two brothers ram and ravi appeared for an exam. the probability of selection of ram is 1 / 7 and that of ravi is 1 / 5. find the probability that both of them are selected.
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[Assistant] 1 / 35

[User]
if a and b are distinct positive integers. the units digit of a ^ 2 is equal to the units digit of a, and the units digit of b ^ 2 is equal to the units digit of b. if the units digit of a · b is equal to neither the units digit of a nor the units digit of b, then what is the units digit of a · b?
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[Assistant] 0

[User]
what is the next number : 3, 27, 627, __
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[Assistant] 15,627


[User]
if the ratio of apples to bananas is 5 to 2 and the ratio of bananas to cucumbers is 1 to 2, what is the ratio of apples to cucumbers?
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[Assistant] 5 : 4

[User]
what is the least integer greater than 1 + 0.5?
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[Assistant] 2

[User]
when 242 is divided by a certain divisor the remainder obtained is 6. when 698 is divided by the same divisor the remainder obtained is 13. however, when the sum of the two numbers 242 and 698 is divided by the divisor, the remainder obtained is 5. what is the value of the divisor?
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[Assistant] 14

[User]
in a river flowing at 2 km / hr, a boat travels 56 km upstream and then returns downstream to the starting point. if its speed in still water be 6 km / hr, find the total journey time.
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[Assistant] 21 hours

[User]
a certain rectangular crate measures 8 feet by 12 feet by 14 feet. a cylindrical gas tank is to be made for shipment in the crate and will stand upright when the crate is placed on one of its six faces. what should the radius of the tank be if it is to be of the largest possible volume?
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[Assistant] 6


[User]
there are 640 students in a school. the ratio of boys and girls in this school is 3 : 5. find the total of girls & boys are there in this school?
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[Assistant] 400

[User]
a ratio between two numbers is 5 : 4 and their l. c. m. is 80. the first number is
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[Assistant] 20

[User]
if the simple interest on a sum of money for 3 years at 7 % per annum is rs. 570, what is the compound interest on the same sum at the rate and for the same time?
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[Assistant] rs. 610.83

[User]
what is the least number that should be added to 1055, so the sum of the number is divisible by 23?
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[Assistant] 3

[User]
in the above number, a and b represent the tens and units digits, respectively. if the above number is divisible by 65, what is the greatest possible value of b x a?
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[Assistant] 30


[User]
a computer factory produces 3024 computers per month at a constant rate, how many computers are built every 30 minutes assuming that there are 28 days in one month?
Answer the question using a single word or phrase.

[Assistant] 2.25.

[User]
a man has rs. 400 in the denominations of one - rupee notes, 5 - rupee notes and 10 rupee notes. the number of notes of each denomination is equal. what is the total number of notes that he has?
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[Assistant] 75

[User]
in a sports club with 30 members, 17 play badminton and 17 play tennis and 2 do not play either. how many members play both badminton and tennis?
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[Assistant] 6

[User]
3 / 4 of 1 / 2 of 2 / 5 of 5000 =?
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[Assistant] 750

[User]
if x / y = 2 / z, then 5 x ^ 2 =
Answer the question using a single word or phrase.

[Assistant] 20 y ² / z ²


[User]
sandy walked 20 meters towards south. then sandy turned to her left and walked 25 meters. she then turned to her left and walked 20 meters. she then turned to her right and walked 30 meters. what distance is she from the starting point and in which direction?
Answer the question using a single word or phrase.

[Assistant] 55 m east

[User]
in a sample of associates at a law firm, 25 percent are second - year associates, and 75 percent are not first - year associates. what percentage of the associates at the law firm have been there for more than two years?
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[Assistant] 50

[User]
if ( 2 to the x ) - ( 2 to the ( x - 2 ) ) = 3 ( 2 to the 10 ), what is the value of x?
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[Assistant] 12

[User]
a special municipal payroll tax charges not tax on a payroll less than $ 300,000 and only 1 % on a company ’ s payroll above $ 300,000. if belfried industries paid $ 200 in this special municipal payroll tax, then they must have had a payroll of?
Answer the question using a single word or phrase.

[Assistant] $ 230,000

[User]
the compound interest earned by sunil on a certain amount at the end of two years at the rate of 8 % p. a. was rs. 2828.80. find the total amount that sunil got back at the end of two years in the form of principal plus interest earned.
Answer the question using a single word or phrase.

[Assistant] rs. 19, 828.80


[User]
in a certain large company, the ratio of college graduates with a graduate degree to non - college graduates is 1 : 8, and ratio of college graduates without a graduate degree to non - college graduates is 2 : 3. if one picks a random college graduate at this large company, what is the probability r this college graduate has a graduate degree?
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[Assistant] 3 / 19

[User]
if a / b = 5 / 4, then ( 4 a + 3 b ) / ( 4 a - 3 b ) =?
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[Assistant] 4

[User]
total 63 matches are conducted in knockout match type. how many players will be participated in that tournament?
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[Assistant] 64

[User]
if f ( f ( n ) ) + f ( n ) = 2 n + 3, f ( 0 ) = 1 then f ( 2012 ) =?
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[Assistant] 2013

[User]
what is ( 21 ^ 7 + 21 ) / 21?
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[Assistant] 85766122


[User]
a cube has a volume of 343 cubic feet. if a similar cube is twice as long, twice as wide, and twice as high, then the volume, in cubic feet of such cube is?
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[Assistant] 2744

[User]
a train crosses a platform of 170 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
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[Assistant] 70

[User]
a 6 litre sol is 25 % alcohol. how many litres of pure alcohol must be added to produce a sol that is 50 % alcohol?
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[Assistant] d. 3

[User]
sides of a rectangular park are in the ratio 3 : 2 and its area is 3750 sq m, the cost of fencing it at 40 ps per meter is?
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[Assistant] 100

[User]
the ratio of incomes of two person p 1 and p 2 is 5 : 4 and the ratio of their expenditures is 3 : 2. if at the end of the year, each saves rs. 2000, then what is the income of p 1?
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[Assistant] s. 5000


[User]
cubes with each side one inch long are glued together to form a larger cube. the larger cube's face is painted with red color and the entire assembly is taken apart. 26 small cubes are found with no paints on them. how many of unit cubes have at least one face that is painted red?
Answer the question using a single word or phrase.

[Assistant] 99

[User]
in a certain quiz that consists of 10 questions, each question after the first is worth 4 points more than the preceding question. if the 10 questions on the quiz are worth a total of 320 points, how many points is the third question worth?
Answer the question using a single word or phrase.

[Assistant] 22

[User]
it takes 30 days to fill a laboratory dish with bacteria. if the size of the bacteria doubles each day, how long did it take for the bacteria to fill 1 / 32 of the dish?
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[Assistant] 25

[User]
rahim bought 32 books for rs. 1500 from one shop and 60 books for rs. 340 from another. what is the average price he paid per book?
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[Assistant] s. 20

[User]
the average of numbers 0.64204, 0.64203, 0.64202 and 0.64201 is?
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[Assistant] 0.642025


[User]
there are 16 teams in a tournament. if during the first round, each team plays every other team exactly once, how many games will be played in the first round?
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[Assistant] 120

[User]
there are 193 items that are members of set u. of these items, 49 are members of set b, 59 are not members of either of set a or set b, and 25 are members of both sets a and b. how many of the members of set u are members of set a?
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[Assistant] 110

[User]
18 balls are numbered 1 to 18. a ball is drawn and then another ball is drawn without replacement. what is the probability that both balls have even numbers?
Answer the question using a single word or phrase.

[Assistant] 4 / 17

[User]
what is the probability that the sum of two dice will yield a 8, and then when both are thrown again, their sum will again yield a 8? assume that each die has 7 sides with faces numbered 1 to 7.
Answer the question using a single word or phrase.

[Assistant] 1 / 49

[User]
two trains are moving in the same direction at 72 kmph and 36 kmph. the faster train crosses a man in the slower train in 15 seconds. find the length of the faster train?
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[Assistant] 150


[User]
a man swims downstream 72 km and upstream 45 km taking 12 hours each time ; what is the speed of the current?
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[Assistant] 1.125

[User]
find the simple interest on rs. 850 for 10 months at 7 paisa per month?
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[Assistant] s. 595

[User]
sandy bought 65 books for $ 1480 from one shop and 55 books for $ 920 from another shop. what is the average price that sandy paid per book?
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[Assistant] $ 20

[User]
how many of the positive divisors d of 120 are also multiples of 4 not including 120?
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[Assistant] 7.

[User]
calculate 1307 x 1307 =?
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[Assistant] 1708249


[User]
the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 80, then 1 / m + 1 / n is equal to
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[Assistant] 4 / 63

[User]
bottle r contains 100 capsules and costs $ 6.30. bottle t contains 130 capsules and costs $ 2.99. what is the difference between the cost per capsule for bottle r and the cost per capsule for bottle t?
Answer the question using a single word or phrase.

[Assistant] $ 0.04

[User]
in a certain animal population, for each of the first 3 months of life, the probability that an animal will die during that month is 1 / 10. for a group of 250 newborn members of the population, approximately how many would be expected to survive the first 3 months of life?
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[Assistant] 183

[User]
if 3 a = 4 b and ab ≠ 0, what is the ratio of a / 4 to b / 3?
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[Assistant] 1

[User]
what is the smallest integer x such that 2 x + 2 is divisible by 33, 44, 55, and 666?
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[Assistant] x = 36629


[User]
if 12 men do a work in 80 days, in how many days will 20 men do it?
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[Assistant] 48 days

[User]
5358 x 81 =?
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[Assistant] 433998

[User]
if the ratio of the sum of the first 6 terms of a g. p. to the sum of the first 3 terms of the g. p. is 126, what is the common ratio of the g. p?
Answer the question using a single word or phrase.

[Assistant] 5

[User]
there are 6 chess amateurs playing in villa's chess club tournament. if each chess amateur plays with exactly 15 other amateurs, what is the total number of chess games possible to be played in the tournament?
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[Assistant] 45

[User]
tough and tricky questions : probability. medical analysts predict that a quarter of all people who are infected by a certain biological agent could be expected to be killed for each day that passes during which they have not received an antidote. what fraction of a group of 1000 people could be expected to be killed if infected and not treated for 3 full days?
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[Assistant] 37 / 64


[User]
if the sales tax reduced from 3 1 / 2 % to 3 1 / 3 %, then what difference does it make to a person who purchases an article with market price of rs. 10800?
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[Assistant] 18

[User]
in 1985 a company sold a brand of shoes to retailers for a fixed price per pair. in 1986 the number of pairs of the shoes that the company sold to retailers decreased by 20 percent, while the price per pair increased by 20 percent. if the company ’ s revenue from the sale of the shoes in 1986 was $ 3.0 million, what was the approximate revenue from the sale of the shoes in 1985?
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[Assistant] $ 3.1 million

[User]
the ratio of the volumes of two cubes is 3375 : 1331. what is the ratio of their total surface areas?
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[Assistant] 225 : 121

[User]
a company has two types of machines, type r and type s. operating at a constant rate a machine of r does a certain job in 36 hours and a machine of type s does the job in 2 hours. if the company used the same number of each type of machine to do job in 12 hours, how many machine r were used?
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[Assistant] 18 / 19

[User]
the difference between compound and simple interest on a particular sum of money for 3 years at 6 and 2 / 3 % p. a is rs. 184. what is the sum?
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[Assistant] 13500


[User]
triangle xyz is an isosceles right triangle. if side xy is longer than side yz, and the area of the triangle is 36, what is the measure of side xy?
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[Assistant] 12

[User]
at 6 ′ o a clock ticks 6 times. the time between first and last ticks is 40 seconds. how long does it tick at 12 ′ o clock
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[Assistant] 88

[User]
the sum of two numbers is 12 and the product of the numbers is 35. find sum of the squares of that numbers.
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[Assistant] 74

[User]
the balance of a trader weighs 20 % less than it should. still the trader marks up his goods to get an overall profit of 30 %. what is the mark up on the cost price?
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[Assistant] 4 %

[User]
it takes 2 workers a total of 12 hours to build a giant machine with each worker working at the same rate. if 3 workers start to build the machine at 11 : 00 am, and one extra worker per hour is added beginning at 2 : 00 pm, at what time will the machine be complete?
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[Assistant] 5 : 00


[User]
find the number, difference between number and its 3 / 5 is 50.
Answer the question using a single word or phrase.

[Assistant] 125

[User]
in a coconut grove, ( x + 3 ) trees yield 60 nuts per year, x trees yield 120 nuts per year and ( x – 3 ) trees yield 180 nuts per year. if the average yield per year per tree be 100, find x.
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[Assistant] 6

[User]
jill invests $ 10000 in an account that pays an annual rate of 3.96 %, compounding semi - annually. approximately how much w does she have in her account after two years?
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[Assistant] w = $ 10815.83

[User]
a 290 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. what is the length of the other train?
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[Assistant] 210 m

[User]
find the average of all prime numbers between 4 and 15.
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[Assistant] 9


[User]
100 people are attending a newspaper conference. 40 of them are writers and more than 38 are editors. of the people at the conference, x are both writers and editors and 2 x are neither. what is the largest possible number of people who are both writers and editors?
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[Assistant] 21

[User]
a milkman purchases the milk at rs. x per litre and sells it at rs. 2 x per litre still he mixes 2 litres water with every 6 litres of pure milk. what is the profit percentage?
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[Assistant] 166.66 %

[User]
a and b can do a work in 12 days, b and c in 15 days, c and a in 20 days. if a, b and c work together, they will complete the work in :
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[Assistant] 10 days

[User]
how many positive integers less than 250 are there such that they are multiples of 15 or multiples of 14?
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[Assistant] 32

[User]
a train 360 m long runs with a speed of 45 km / hr. what time will it take to pass a platform of 240 m long?
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[Assistant] 48 sec


[User]
a train 300 meters long completely crosses a 300 meters long bridge in 45 seconds. what is the speed of the train is?
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[Assistant] 48

[User]
how long does a train 165 meters long running at the rate of 72 kmph take to cross a bridge 660 meters in length?
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[Assistant] 41.25

[User]
how many integers from 101 to 700, inclusive, remains the value unchanged when the digits were reversed?
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[Assistant] 60

[User]
what sum of money put at c. i amounts in 2 years to rs. 8800 and in 3 years to rs. 9261?
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[Assistant] 7945

[User]
find the value of x. ( 47 % of 1442 - 36 % of 1412 ) + 63 = x?
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[Assistant] 3


[User]
if in a certain code ` ` range ''is coded as 12345 and ` ` random ''is coded as 123678. then the code for the word ` ` gone ''would be
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[Assistant] 4735

[User]
if henry were to add 4 gallons of water to a tank that is already 3 / 4 full of water, the tank would be 7 / 8 full. how many gallons of water would the tank hold if it were full?
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[Assistant] 32

[User]
a train 120 m long crosses a platform with a speed of 60 kmph in 15 sec ; find the length of the platform?
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[Assistant] 130

[User]
a sum fetched a total simple interest of rs. 4016.25 at the rate of 5 % p. a. in 5 years. what is the sum?
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[Assistant] 16065

[User]
a man rows his boat 84 km downstream and 48 km upstream, taking 2 hours each time. find the speed of the stream?
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[Assistant] 9 kmph


[User]
what number has a 20 : 1 ratio to the number 10?
Answer the question using a single word or phrase.

[Assistant] 200

[User]
the ages of patrick and michael are in the ratio of 3 : 5 and that of michael and monica are in the ratio of 3 : 5. if the sum of their ages is 146, what is the difference between the ages of patrick and monica?
Answer the question using a single word or phrase.

[Assistant] 48

[User]
mark bought a set of 6 flower pots of different sizes at a total cost of $ 8.25. each pot cost 0.3 more than the next one below it in size. what was the cost, in dollars, of the largest pot?
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[Assistant] $ 2.12

[User]
what quantity of water should taken out to concentrate 15 liters of 40 % acidic liquid to 60 % acidic liquid?
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[Assistant] 5 liters

[User]
what is the remainder when 9 ^ 19 is divided by 5?
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[Assistant] 4


[User]
eight identical machines can produce 360 aluminum cans per hour. if all of the machines work at the same constant rate, how many cans could 5 such machines produce in 5 hours?
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[Assistant] 1,125

[User]
a trained covered x km at 65 kmph and another 2 x km at 20 kmph. find the average speed of the train in covering the entire 3 x km.
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[Assistant] 26

[User]
what is the remainder when 2676 * 1487 * 4459 is divided by 12
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[Assistant] 3

[User]
ms. lopez deposits $ 140 in an account that pays 20 % interest, compounded semiannually. how much money will there be in the account at the end of one year?
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[Assistant] $ 169.40

[User]
a train running at the speed of 72 km / hr crosses a pole in 9 seconds. what is the length of the train?
Answer the question using a single word or phrase.

[Assistant] 180


[User]
the speed at which a man can row a boat in still water is 20 kmph. if he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres?
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[Assistant] 9.4 seconds

[User]
a 16 % stock yielding 14 % is quoted at :
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[Assistant] s. 114

[User]
the value of ( ( x – y ) ³ + ( y - z ) ³ + ( z – x ) ³ ) / ( 15 ( x – y ) ( y – z ) ( z – x ) ) is equal to :
Answer the question using a single word or phrase.

[Assistant] 1 / 5

[User]
a is the product of each integer from 1 to 50, inclusive and b = 100 ^ k, where k is an integer. what is the greatest value of k for which y is a factor of a?
Answer the question using a single word or phrase.

[Assistant] 6

[User]
reena took a loan of $. 1200 with simple interest for as many years as the rate of interest. if she paid $ 432 as interest at the end of the loan period, what was the rate of interest?
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[Assistant] 6


[User]
if n is the greatest positive integer for which 4 ^ n is a factor of 10!, then n =?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
an art gallery has only paintings and sculptures. currently, 1 / 3 of the pieces of art are displayed, and 1 / 6 of the pieces on display are sculptures. if 1 / 3 of the pieces not on display are paintings, and 1400 sculptures are not on display, how many pieces of art does the gallery have?
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[Assistant] 3150

[User]
the grade point average of one third of the classroom is 60 ; the grade point average of the rest is 66. what is the grade point average of the whole class?
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[Assistant] 64

[User]
if the digits 33 in the decimal 0.00033 repeat indefinitely, what is the value of ( 10 ^ 5 - 10 ^ 3 ) ( 0.00033 )?
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[Assistant] 33

[User]
two whole numbers whose sum is 72 can not be in the ratio
Answer the question using a single word or phrase.

[Assistant] 3 : 4


[User]
the average score of a cricketer in 2 matches is 40 and in other 3 matches is 10. then find the average score in all the 5 matches?
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[Assistant] 22

[User]
which number need to add to 8679921 to get a number exactly divisible by 330?
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[Assistant] 69

[User]
at a certain college, 60 percent of the total number of students are freshmen. if 40 percent of the fresh - men are enrolled in the school of liberal arts and, of these, 20 percent are psychology majors, what percent of the students at the college are freshmen psychology majors enrolled in the school of liberal arts?
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[Assistant] 4.8 %

[User]
what annual installment will discharge a debt of rs. 1008 due in 3 years at 12 % simple interest?
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[Assistant] 300

[User]
what is the smallest integer k for which 64 ^ k > 4 ^ 16?
Answer the question using a single word or phrase.

[Assistant] 6


[User]
a 1200 m long train crosses a tree in 120 sec, how much time will i take to pass a platform 1000 m long?
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[Assistant] 220 sec

[User]
if t = 5 / 9 * ( k - 32 ), and if t = 50, then what is the value of k?
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[Assistant] 122

[User]
let q represent a set of 7 distinct prime numbers. if the sum of the numbers in q is even and x is a member of q, then what is the least possible value that x can be?
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[Assistant] 3

[User]
how many digits are in the number 50 ^ 8 × 8 ^ 3 × 11 ^ 2 x 10 ^ 4?
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[Assistant] 18

[User]
sheila works 8 hours per day on monday, wednesday and friday, and 6 hours per day on tuesday and thursday. she does not work on saturday and sunday. she earns $ 432 per week. how much does she earn in dollars per hour?
Answer the question using a single word or phrase.

[Assistant] 12


[User]
x, y, and z are consecutive numbers and x > y > z. also, 2 x + 3 y + 3 z = 5 y + 11. what is the value of z?
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[Assistant] 3

[User]
[ ( 3.242 x 10 ) / 100 ] =?
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[Assistant] 0.03242

[User]
pipe a can fill a pool in 12 hours at a constant rate. if pipe a does the job for 8 hours and pipe b does the rest of the job, which works at 1 / 3 constant rate of pipe a. how long will it take for pipe b alone to do the rest of the job?
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[Assistant] 12 hrs

[User]
rs. 1210 were divided among a, b, c so that a : b = 5 : 4 and b : c = 9 : 10. then, c gets :
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[Assistant] rs. 400

[User]
two sacks together contained 40 kilograms of sugar. if after 1 kilogram of sugar was taken from the first sack and poured into the second the weight of the sugar in the first sack became 60 % the weight of the sugar in the second, what was the original difference in the weights of the sacks?
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[Assistant] 8


[User]
find a positive number, which when increased by 8 is equal to 128 times reciprocal of the number.
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[Assistant] 8

[User]
find the value of x : 2 a ^ 2 - 7 a + 10 = 14
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[Assistant] 4

[User]
sheela deposits rs. 3400 in bank savings account. if this is 15 % of her monthly income. what is her monthly income in?
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[Assistant] 22666

[User]
when a person aged 39 is added to a group of n people, the average age increases by 2. when a person aged 15 is added instead, the average age decreases by 1. what is the value of r?
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[Assistant] 7

[User]
a number when multiplied by 3 is odd and divisible by 9. this number when multiplied by 4 is 108. what is the original number?
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[Assistant] 27


[User]
in the coordinate plane, line a has a slope of - 1 and an x - intercept of 1. line b has a slope of 5 and a y - intercept of - 5. if the two lines intersect at the point ( a, b ), what is the sum a + b?
Answer the question using a single word or phrase.

[Assistant] 1

[User]
the interest on a certain deposit at 4.5 % p. a. is rs. 405 in one year. how much will the additional interest in one year be on the same deposit at 5 % p. a.?
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[Assistant] rs. 45

[User]
a metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 16 cm. what is the length of the wire?
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[Assistant] none of these

[User]
approximately how many cubic feet of water are needed to fill a circular swimming pool that is 100 feet across and 4 feet deep?
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[Assistant] 30000

[User]
in a box of 12 pens, a total of 4 are defective. if a customer buys 3 pens selected at random from the box, what is the probability that neither pen will be defective?
Answer the question using a single word or phrase.

[Assistant] 14 / 55


[User]
two friends plan to walk along a 33 - km trail, starting at opposite ends of the trail at the same time. if friend p's rate is 20 % faster than friend q's, how many kilometers will friend p have walked when they pass each other?
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[Assistant] 18

[User]
the number of degrees that the hour hand of a clock moves through between noon and 2.30 in the afternoon of the same day is
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[Assistant] 75

[User]
a train running at the speed of 90 km / hr crosses a pole in 15 seconds. what is the length of the train?
Answer the question using a single word or phrase.

[Assistant] 375

[User]
two cars a and b start from boston and new york respectively simultaneously and travel towards each other at constant speeds along the same route. after meeting at a point between boston and new york the two cars a and b proceed to their respective destinations of new york and boston. car a reaches new york 60 minutes after the two cars have met and car b reaches boston 90 minutes after they have met. how long did car a take to cover the distance between boston and new york?
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[Assistant] 2 hours

[User]
four numbers are in the ratio 2 : 3 : 4 : 5 add up to give a sum of 1344. find the biggest number.
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[Assistant] 480


[User]
five machines, each working at the same constant rate, together can complete a certain job in 20 days. how many additional machines, each working at the same constant rate, will be needed to complete the job in 10 days?
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[Assistant] 5

[User]
find ( 7 x + 4 y ) / ( x - 2 y ) if x / 2 y = 5 / 2?
Answer the question using a single word or phrase.

[Assistant] 13

[User]
there is 60 % increase in an amount in 6 years at si. what will be the ci of rs. 11,000 after 3 years at the same rate?
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[Assistant] 3641

[User]
a train travels from albany to syracuse, a distance of 120 miles, at the average rate of 40 miles per hour. the train then travels back to albany from syracuse. the total travelling time of the train is 5 hours and 24 minutes. what was the average rate of speed of the train on the return trip to albany?
Answer the question using a single word or phrase.

[Assistant] 50

[User]
the ratio between the present ages of a and b is 4 : 3 respectively. the ratio between a's age 4 years ago and b's age 4 years hence is 1 : 1. what is the ratio between a's age 4 years hence and b's age 4 years ago?
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[Assistant] 9 : 5


[User]
find value of x ( 11 ^ 2 + 12 ^ 2 + 13 ^ 2 +... + 20 ^ 2 ) = x
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[Assistant] 2485

[User]
in a mixture 60 litres, the ratio of milk and water 2 : 1. if the this ratio is to be 1 : 2, then the quanity of water to be further added is
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[Assistant] 60 liters

[User]
of the 13 employees in a certain department, 1 has an annual salary of 38,000, 2 have an annual salary of 45,600 each, 2 have an annual salary of 42,500 each, 3 have an annual salary of 40,000 each and 5 have an annual salary of 48,500 each. what is the median annual salary for the 13 employees?
Answer the question using a single word or phrase.

[Assistant] 45,600

[User]
if m and n are positive integers and m ^ 2 + n ^ 2 = 58, what is the value of m ^ 3 + n ^ 3?
Answer the question using a single word or phrase.

[Assistant] 370

[User]
rahim bought 65 books for rs. 1160 from one shop and 50 books for rs. 920 from another. what is the average price he paid per book?
Answer the question using a single word or phrase.

[Assistant] rs. 18.08


[User]
the ratio of the volumes of two cubes is 512 : 729. what is the ratio of their total surface areas?
Answer the question using a single word or phrase.

[Assistant] 41 : 46

[User]
x starts a business with rs. 45000. y joins in the business after 7 months with rs. 30000. what will be the ratio in which they should share the profit at the end of the year?
Answer the question using a single word or phrase.

[Assistant] 18 : 5

[User]
a palindrome is a word or a number that reads the same forward and backward. for example, 2442 and 111 are palindromes. if 5 - digit palindromes are formed using one or more of the digits 1, 2, 3, 4, 5, 6, and 7, how many palindromes are possible?
Answer the question using a single word or phrase.

[Assistant] 343

[User]
a money lender finds that due to a fall in the annual rate of interest from 8 % to 7 3 / 4 % his yearly income diminishes by rs. 63.50, his capital is?
Answer the question using a single word or phrase.

[Assistant] 24,400

[User]
in a certificate by mistake a candidate gave his height as 25 % more than actual height. in the interview panel, he clarified that his height was 5 feet 5 nches. find the % correction made by the candidate from his stated height to his actual height?
Answer the question using a single word or phrase.

[Assistant] 20


[User]
a train of length l is traveling at a constant velocity and passes a pole in t seconds. if the same train travelling at the same velocity passes a platform in 6 t seconds, then what is the length of the platform?
Answer the question using a single word or phrase.

[Assistant] 5 l

[User]
a bus 15 m long is running with a speed of 40 km / hr. in what time will it pass a man who is skateboarding at 8 km / hr in the direction opposite to that in which the car is going?
Answer the question using a single word or phrase.

[Assistant] 1.125

[User]
the end of a blade on an airplane propeller is 10 feet from the center. if the propeller spins at the rate of 660 revolutions per second, how many miles will the tip of the blade travel in one minute? ( 1 mile = 5,280 feet )
Answer the question using a single word or phrase.

[Assistant] 150 π

[User]
victor gets 92 % marks in examinations. if these are 368 marks, find the maximum marks.
Answer the question using a single word or phrase.

[Assistant] 400

[User]
a train running at the speed of 300 km / hr crosses a pole in 15 seconds. what is the length of the train?
Answer the question using a single word or phrase.

[Assistant] 1250 m


[User]
a starts business with rs. 3500 and after 6 months, b joins with a as his partner. after a year, the profit is divided in the ratio 2 : 3. what is b â € ™ s contribution in the capital?
Answer the question using a single word or phrase.

[Assistant] 10500

[User]
the population of a village is 10000. it increases annually at the rate of 20 % p. a. what will be its population after 2 years?
Answer the question using a single word or phrase.

[Assistant] 14400

[User]
in a class of 30 students, 5 students did not borrow any books from the library, 12 students each borrowed 1 book, 8 students each borrowed 2 books, and the rest of the students each borrowed at least 3 books. if the average ( arithmetic mean ) number of books borrowed per student was 2, what is the maximum number of books that any single student could have borrowed?
Answer the question using a single word or phrase.

[Assistant] 20

[User]
two carpenters, working in the same pace, can build 2 desks in two hours and a half. how many desks can 4 carpenters build in 3 hours?
Answer the question using a single word or phrase.

[Assistant] 4.8.

[User]
mr. kutty has only hens and sheep. if the total number of their heads is 38 and the total number of legs is 100 then what is the ratio between the numbers of hens and sheep?
Answer the question using a single word or phrase.

[Assistant] 13 : 6


[User]
a boat covers a certain distance downstream in 1 hour, while it comes back in 1.30 hours. if the speed of the stream be 3 kmph, what is the speed of the boat in still water?
Answer the question using a single word or phrase.

[Assistant] 15

[User]
if x is a positive number and 1 / 4 the square root of x is equal to 3 x, then x =
Answer the question using a single word or phrase.

[Assistant] 1 / 144

[User]
a library has an average of 510 visitors on sundays and 240 on other day. the average number of visitors in a month of 15 days starting with sunday is
Answer the question using a single word or phrase.

[Assistant] 570

[User]
in how many ways can 11 books on english and 9 books on french be placed in a row on a shelf so that two books on french may not be together?
Answer the question using a single word or phrase.

[Assistant] 220.

[User]
if 35 percent of 400 is 20 percent of x, then x =
Answer the question using a single word or phrase.

[Assistant] 700


[User]
80 370? 1550 2440 3530
Answer the question using a single word or phrase.

[Assistant] 860

[User]
how many liters of water must be evaporated from 50 liters of a 3 - percent sugar solution to get a 4 - percent solution?
Answer the question using a single word or phrase.

[Assistant] 21

[User]
three coins are tossed. find the probability of at least 1 head and 1 tail?
Answer the question using a single word or phrase.

[Assistant] 3 / 4

[User]
10 chess players take part in a tournament. every player plays twice with each of his opponents. how many games are to be played?
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[Assistant] 90

[User]
divide $ 450 among a, b in the ratio 1 : 4. how many $ that a get?
Answer the question using a single word or phrase.

[Assistant] $ 90


[User]
if a train, travelling at a speed of 270 kmph, crosses a pole in 5 sec, then the length of train is?
Answer the question using a single word or phrase.

[Assistant] 375 m

[User]
a certain car uses one gallon of gasoline every 36 miles when it travels on highway, and one gallon of gasoline every 20 miles when it travels in the city. when a car travels 4 miles on highway and 4 additional miles in the city, it uses what percent more gasoline than if it travels 8 miles on the highway?
Answer the question using a single word or phrase.

[Assistant] 40 %

[User]
the ratio between the length and the breadth of a rectangular park is 3 : 2. if a man cycling along theoundary of the park at the speed of 12 km / hr completes one round in 8 min, then the area of the park ( in sq. m ) is?
Answer the question using a single word or phrase.

[Assistant] 153600 m

[User]
the calendar of the year 2060 can be used again in the year?
Answer the question using a single word or phrase.

[Assistant] 2088

[User]
mixture a is 40 percent alcohol, and mixture b is 80 percent alcohol. if the two are poured together to create a 4 - gallon mixture that contains 50 percent alcohol, approximately how many gallons of mixture a are in the mixture?
Answer the question using a single word or phrase.

[Assistant] 2.4


[User]
the length of each side of square a is increased by 100 percent to make square b. if the length of the side of square b is increased by 75 percent to make square c, by what percent is the area of square c greater than the sum of the areas of squares a and b?
Answer the question using a single word or phrase.

[Assistant] 145 %

[User]
the temperature of a certain cup of coffee 15 minutes after it was poured was 120 degrees fahrenheit. if the temperature f of the coffee t minutes after it was poured can be determined by the formula f = 120 * 2 ^ ( - at ) + 60, where f is in degrees fahrenheit and a is a constant. then the temperature of the coffee 30 minutes after it was poured was how many degrees fahrenheit?
Answer the question using a single word or phrase.

[Assistant] 90

[User]
p and q are the only two applicants qualified for a short - term research project that pays 480 dollars in total. candidate p has more experience and, if hired, would be paid 50 percent more per hour than candidate q would be paid. candidate q, if hired, would require 10 hours more than candidate p to do the job. candidate p ’ s hourly wage is how many dollars greater than candidate q ’ s hourly wage?
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[Assistant] $ 8

[User]
what profit percent is made by selling an article at a certain price, if by selling at 1 / 3 rd of that price, there would be a loss of 20 %?
Answer the question using a single word or phrase.

[Assistant] 140 %

[User]
a certain company had a total annual expenditure of 1.89 ∗ 10 ^ 7 on employee salaries last year. if the company employed 420 people, what was the average employee salary?
Answer the question using a single word or phrase.

[Assistant] $ 45,000


[User]
the timing of a college is from 12 p. m to 4.00 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.
Answer the question using a single word or phrase.

[Assistant] 44 minutes

[User]
a certain telephone company offers two plans, a and b. under plan a, the company charges a total of $ 0.60 for the first 4 minutes of each call and $ 0.06 per minute thereafter. under plan b, the company charges $ 0.08 per minute of each call. what is the duration of a call, in minutes, for which the company charges the same amount under plan a and under plan b?
Answer the question using a single word or phrase.

[Assistant] 18

[User]
a man cheats while buying as well as while selling. while buying he takes 10 % more than what he pays for and while selling he gives 20 % less than what he claims to. find the profit percent, if he sells at 12 % below the cost price of the claimed weight.
Answer the question using a single word or phrase.

[Assistant] 21 %

[User]
in a recent head - to - head run - off election, 12,000 absentee ballets were cast. 1 / 2 of the absentee ballets were thrown out and 1 / 2 of the remaining absentee ballets were cast for candidate a. how many absentee votes did candidate b receive?
Answer the question using a single word or phrase.

[Assistant] 3,000

[User]
the sale price of an article including the sales tax is rs. 616. the rate of sales tax is 10 %. if the shopkeeper has made a profit of 12 %, then the cost price of the article is
Answer the question using a single word or phrase.

[Assistant] rs. 500


[User]
a man swims downstream 45 km and upstream 25 km taking 5 hours each time, what is the speed of the man in still water?
Answer the question using a single word or phrase.

[Assistant] 7

[User]
the length of a bridge in meters, which a train 90 - meters long and traveling at 45 km / hr can cross in 30 seconds is?
Answer the question using a single word or phrase.

[Assistant] 285

[User]
if 3 < x < 6 < y < 8, then what is the greatest possible positive integer difference of x and y?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
a couple decides to have 4 children. if they succeed in having 4 children and each child is equally likely to be a boy or a girl, what is the probability that they will have exactly 2 girls and 2 boys?
Answer the question using a single word or phrase.

[Assistant] 3 / 8

[User]
p can lay railway track between two stations in 16 days. q can do the same job in 12 days. with the help of r, they completes the job in 4 days. how much days does it take for r alone to complete the work?
Answer the question using a single word or phrase.

[Assistant] 9 ( 3 / 5 ) days


[User]
two men started from the same place walk at the rate of 10 kmph and 12 kmph respectively. what time will they take to be 20 km apart, if they walk in the same direction?
Answer the question using a single word or phrase.

[Assistant] 10 hours

[User]
in a games hour 4 different types of players came to the ground? cricket 16, hokey 12, football 18, softball 13. how many players are present in the ground?
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[Assistant] 59

[User]
in a class of 69 students 41 are taking french, 22 are taking german. of the students taking french or german, 9 are taking both courses. how many students are not enrolled in either course?
Answer the question using a single word or phrase.

[Assistant] 15

[User]
the charge for a single room at hotel p is 50 percent less than the charge for a single room at hotel r and 20 percent less than the charge for a single room at hotel g. the charge for a single room at hotel r is what percent greater than the charge for a single room at hotel g?
Answer the question using a single word or phrase.

[Assistant] 60 %

[User]
laxmi and prasanna set on a journey. laxmi moves northwards at a speed of 18 kmph and prasanna moves southward at a speed of 27 kmph. how far will be prasanna from laxmi after 60 minutes?
Answer the question using a single word or phrase.

[Assistant] 45


[User]
if a and b run on a circular path in opposite directions of constant speeds with different velocities from p and q. first time they meet 800 mts away from p and second time they meet 700 mts away from p, what is the lenght of the circular path.
Answer the question using a single word or phrase.

[Assistant] 2300 mtrs

[User]
the annual interest rate earned by an investment increased by 10 percent from last year to this year. if the annual interest rate earned by the investment this year was 11 percent, what was the annual interest rate last year?
Answer the question using a single word or phrase.

[Assistant] 10 %

[User]
the cost of the paint is rs. 36.50 per kg. if 1 kg of paint covers 16 squares feet, how much will it cost to paint outside of a cube having 8 feet each side?
Answer the question using a single word or phrase.

[Assistant] rs. 876

[User]
express a speed of 84 kmph in meters per second?
Answer the question using a single word or phrase.

[Assistant] 23.33 mps

[User]
a shopkeeper sells 300 metres of cloth for rs. 9000 at a loss of rs. 6 per metre. find his cost price for one metre of cloth?
Answer the question using a single word or phrase.

[Assistant] s. 36


[User]
the h. c. f. of two numbers is 42 and the other two factors of their l. c. m. are 12 and 14. the larger of the two numbers is :
Answer the question using a single word or phrase.

[Assistant] 588

[User]
jack, jill, and sandy each have one try to make a basket from half court. if their individual probabilities of making the basket are 1 / 6, 1 / 7, and 1 / 8 respectively, what is the probability that all three will make a basket?
Answer the question using a single word or phrase.

[Assistant] 1 / 336

[User]
how much is 75 % of 40 is greater than 4 / 5 of 25?
Answer the question using a single word or phrase.

[Assistant] 10

[User]
a number is doubled and 5 is added. if the resultant is trebled, it becomes 105. what is that number?
Answer the question using a single word or phrase.

[Assistant] 15

[User]
10 play kabadi, 35 play kho kho only, 5 play both gmaes. then how many in total?
Answer the question using a single word or phrase.

[Assistant] 45


[User]
if the average of 12 x and 8 y is greater than 200, and x is twice y, what is the least integer value of x?
Answer the question using a single word or phrase.

[Assistant] 25

[User]
i sold a book at a profit of 10 %. had i sold it for $ 150 more, 15 % would have been gained. find the cost price?
Answer the question using a single word or phrase.

[Assistant] $ 3000

[User]
in a certain company, the ratio of the number of managers to the number of non - managers in any department must always be greater than 7 : 24. in the company, what is the maximum number of non - managers in a department that has 8 managers?
Answer the question using a single word or phrase.

[Assistant] 27

[User]
add 8 % of 24 and 10 % of 40.
Answer the question using a single word or phrase.

[Assistant] 5.9

[User]
in a certificate by mistake a candidate gave his height as 20 % more than actual height. in the interview panel, he clarified that his height was 5 feet 5 nches. find the % correction made by the candidate from his stated height to his actual height?
Answer the question using a single word or phrase.

[Assistant] 13


[User]
a and b are two multiples of 14, and q is the set of consecutive integers between a and b, inclusive. if q contains 14 multiples of 14, how many multiples of 7 are there in q?
Answer the question using a single word or phrase.

[Assistant] 27

[User]
the length of a train and that of a platform are equal. if with a speed of 180 k / hr, the train crosses the platform in one minute, then the length of the train ( in meters ) is?
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[Assistant] 1500

[User]
running at the same constant rate, 8 identical machines can produce a total of 240 pens per minute. at this rate, how many pens could 5 such machines produce in 5 minutes?
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[Assistant] 750

[User]
the product of the squares of two positive integers is 81. how many pairs of positive integers satisfy this condition?
Answer the question using a single word or phrase.

[Assistant] 2

[User]
before 2 years, dog a ’ s age was 4 times of dog b ’ s age and after 4 years, dog a ’ s age will be 3 times of dog b ’ s age. what is the difference of dog a ’ s age and dog b ’ s now?
Answer the question using a single word or phrase.

[Assistant] 36


[User]
a discount electronics store normally sells all merchandise at a discount of 10 percent to 40 percent off the suggested retail price. if, during a special sale, an additional 5 percent were to be deducted from the discount price, what would be the lowest possible price of an item costing $ 500 before any discount?
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[Assistant] $ 285.00

[User]
what is the total number of d integers between 100 and 200 that are divisible by 3?
Answer the question using a single word or phrase.

[Assistant] 33

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

[User]
the output of a factory is increased by 10 % to keep up with rising demand. to handle the holiday rush, this new output is increased by 20 %. by approximately what percent would the output of the factory now have to be decreased in order to restore the original output?
Answer the question using a single word or phrase.

[Assistant] 24 %

[User]
maria sold 10 kg of apples in her first hour at the market, but only 2 kg of apples in the second hour. on average, how many kg of apples did she sell in two hours at the market?
Answer the question using a single word or phrase.

[Assistant] 6 kg


[User]
a can finish a piece of work in 15 days. b can do it in 30 days. they work together for 6 days and then a goes away. in how many days will b finish the work?
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[Assistant] 12 days

[User]
find the largest 5 digit number which is exactly divisible by 88?
Answer the question using a single word or phrase.

[Assistant] 99968

[User]
a club wants to mix 15 pounds of candy worth $ 8.00 per pound with candy worth $ 5.00 per pound to reduce the cost of the mixture to $ 6.00 per pound. how many pounds of the $ 5.00 per pound candy should be used?
Answer the question using a single word or phrase.

[Assistant] 30

[User]
300 + 5 × 8 =?
Answer the question using a single word or phrase.

[Assistant] 340

[User]
a trained covered x km at 40 kmph and another 2 x km at 20 kmph. find the average speed of the train in covering the entire 3 x km.
Answer the question using a single word or phrase.

[Assistant] 24 kmph


[User]
a merchant sells an item at a 20 % discount, but still makes a gross profit of 25 percent of the cost. what percent of the cost would the gross profit on the item have been if it had been sold without the discount?
Answer the question using a single word or phrase.

[Assistant] 56.25 %

[User]
evaluate : | 4 - 8 ( 3 - 12 ) | - | 5 - 11 | =
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[Assistant] 70

[User]
how much time will a train of length 200 m moving at a speed of 72 kmph take to cross another train of length 300 m, moving at 36 kmph in the same direction?
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[Assistant] 50 sec

[User]
a train covers a distance of 36 km in 12 min. if it takes 7 sec to pass a telegraph post, then the length of the train is?
Answer the question using a single word or phrase.

[Assistant] 350

[User]
a sum of money deposited at c. i. amounts to rs. 2420 in 2 years and to rs. 3146 in 3 years. find the rate percent?
Answer the question using a single word or phrase.

[Assistant] 30


[User]
the rate of spin of a certain gyroscope doubled every 10 seconds from the moment a particular stopwatch started. if after a minute and a half the gyroscope reached a speed of 800 meters per second, what was the speed, in meters per second, when the stopwatch was started?
Answer the question using a single word or phrase.

[Assistant] 25 / 16

[User]
if i equals the sum of the even integers from 2 to 224, inclusive, and k equals the sum of the even integers from 8 to 80, inclusive, what is the value of i - k?
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[Assistant] 11028

[User]
if 25 % of x is 15 less than 12 % of 1500, then x is?
Answer the question using a single word or phrase.

[Assistant] 660

[User]
evaluate : 11 + sqrt ( - 4 + 6 × 4 ÷ 3 ) =....
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[Assistant] 13

[User]
a “ palindromic integer ” is an integer that remains the same when its digits are reversed. so, for example, 43334 and 516615 are both examples of palindromic integers. how many 6 - digit palindromic integers are both even and greater than 800,000?
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[Assistant] 100


[User]
a trader sold an item at a loss of 18 %. if he had increased the price by $ 25 he would have made a gain of 5 %. what is the cost price of the item?
Answer the question using a single word or phrase.

[Assistant] $ 434.78

[User]
if 3 women can color 180 m long cloth in 2 days, then 5 women can color 300 m long cloth in?
Answer the question using a single word or phrase.

[Assistant] 2 days

[User]
if $ 5,000 is invested in an account that earns 6 % interest compounded semi - annually, then the interest earned after one year would be how much greater than if the $ 5,000 had been invested at 8 % simple yearly interest?
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[Assistant] $ 6

[User]
a train with 1200 m crosses a tree in 120 sec, how much time will i take to pass a platform 700 m long?
Answer the question using a single word or phrase.

[Assistant] 190 sec

[User]
a circular well with a diameter of 2 metres, is dug to a depth of 8 metres. what is the volume of the earth dug out?
Answer the question using a single word or phrase.

[Assistant] 25.1 m 3


[User]
the ages of 2 persons differ by 32 years. if 9 years ago the elder one be 5 times as old as the younger one, find the present age of elder person.
Answer the question using a single word or phrase.

[Assistant] 49

[User]
what is the greatest possible length which can be used to measure exactly the lengths 18 m, 40 m and 6 m 50 cm?
Answer the question using a single word or phrase.

[Assistant] 10 cm

[User]
from january 1, 2015, to january 1, 2017, the number of people enrolled in health maintenance organizations increased by 5 percent. the enrollment on january 1, 2017, was 45 million. how many million people, to the nearest million, were enrolled in health maintenance organizations on january 1, 2015?
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[Assistant] 43

[User]
the number which exceeds 16 % of it by 42 is :
Answer the question using a single word or phrase.

[Assistant] 50

[User]
in assembling a bluetooth device, a factory uses one of two kinds of modules. one module costs $ 10 and the other one, that is cheaper, costs $ 2.5. the factory holds a $ 62.50 worth stock of 22 modules. how many of the modules in the stock are of the cheaper kind?
Answer the question using a single word or phrase.

[Assistant] 21


[User]
mary goes into labor at her local grocery store and is rushed to a hospital in an ambulance traveling 60 mph. her husband don drives after the ambulance at an average speed of 30 mph. mary reaches the hospital fifteen minutes later. how long does it take don to get there from the store?
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[Assistant] 30 minutes

[User]
what is the ratio between perimeters of two squares one having 7 times the diagonal then the other?
Answer the question using a single word or phrase.

[Assistant] 7 : 1

[User]
square a has an area of 65 square centimeters. square b has a perimeter of 16 centimeters. if square b is placed within square a and a random point is chosen within square a, what is the probability the point is not within square b?
Answer the question using a single word or phrase.

[Assistant] 0.75

[User]
in an election, candidate a got 80 % 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 favor of candidate.
Answer the question using a single word or phrase.

[Assistant] 380800

[User]
a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. if the area of the field is 560 sq. feet, how many feet of fencing will be required?
Answer the question using a single word or phrase.

[Assistant] 76


[User]
if a man earns rs 20 on first day and spends rs 15 on second day, and earns rs 20 on third day and spends rs 15 on fourth day and goes on on which day he will be having rs 60.
Answer the question using a single word or phrase.

[Assistant] 60 rs

[User]
4 mat - weaves can weaves 4 mats in 4 days. at the same rate, how many mats would be woven by 8 mat - weaves in 8 days?
Answer the question using a single word or phrase.

[Assistant] 16

[User]
the average age of 36 students in a group is 14 years. when teacher ’ s age is included to it, the average increases by one. what is the teacher ’ s age in years?
Answer the question using a single word or phrase.

[Assistant] 51

[User]
two trains of equal length are running on parallel lines in the same direction at 46 km / hr and 36 km / hr. the faster train catches and completely passes the slower train in 18 seconds. what is the length of each train ( in meters )?
Answer the question using a single word or phrase.

[Assistant] 25

[User]
the numbers 272738 and 232342, when divided by n, a 2 digit number leave a remainder 13 and 17 respectively. find the sum of digits of n?
Answer the question using a single word or phrase.

[Assistant] 7


[User]
a train is 360 meter long is running at a speed of 90 km / hour. in what time will it pass a bridge of 140 meter length?
Answer the question using a single word or phrase.

[Assistant] 20 seconds

[User]
for each month of a given year except december, a worker earned the same monthly salary and donated one - tenth of that salary to charity. in december, the worker earned n times his usual monthly salary and donated one - fourth of his earnings to charity. if the worker's charitable contributions totaled one - eighth of his earnings for the entire year, what is the value of n?
Answer the question using a single word or phrase.

[Assistant] 22 / 10

[User]
if sharon's weekly salary increased by 16 percent, she would earn $ 348 per week. if instead, her weekly salary were to increase by 20 percent, how much would she earn per week?
Answer the question using a single word or phrase.

[Assistant] $ 360

[User]
if the ratio of a to b is 11 to 3 and the ratio of b to c is 1 to 5, what is the ratio of a to c?
Answer the question using a single word or phrase.

[Assistant] 11 / 15

[User]
what should be the least number to be added to the 2496 number to make it divisible by 5?
Answer the question using a single word or phrase.

[Assistant] 4


[User]
1 ⁄ 5 of a number is equal to 5 ⁄ 8 of the second number. if 35 is added to the first number then it becomes 4 times of second number. what is the value of the second number?
Answer the question using a single word or phrase.

[Assistant] 40

[User]
when positive integer n is divided by 5, the remainder is 1. when n is divided by 7, the remainder is 3. what is the smallest positive integer k such that k + n is a multiple of 75.
Answer the question using a single word or phrase.

[Assistant] 35

[User]
in what time will a train 130 m long cross an electric pole, it its speed be 144 km / hr?
Answer the question using a single word or phrase.

[Assistant] 3.25 sec

[User]
donald duck can can swim his pool downstream ( with the pool current helping time ) in exact 40 seconds and upstream ( against the pool current ) in a pool in exact 60 seconds. the length of pool is 2 kilometers. how long donald duck can cover distance of one side at a still pool ( with no current ).
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[Assistant] 48 minutes

[User]
a number is increased by 11 % and then reduced by 10 %. after these operations, the number :
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[Assistant] decreases by 1 %


[User]
an plane covers a certain distance at a speed of 240 kmph in 5 hours. to cover the same distance in 5 / 3 hours, it must travel at a speed of?
Answer the question using a single word or phrase.

[Assistant] 720

[User]
the ages of patrick and michael are in the ratio of 3 : 5 and that of michael and monica are in the ratio of 3 : 4. if the sum of their ages is 132, what is the difference between the ages of patrick and monica?
Answer the question using a single word or phrase.

[Assistant] 33

[User]
two vessels contains equal number of mixtures milk and water in the ratio 5 : 2 and 6 : 1. both the mixtures are now mixed thoroughly. find the ratio of milk to water in the new mixture so obtained?
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[Assistant] 11 : 3

[User]
ashok secured average of 80 marks in 6 subjects. if the average of marks in 5 subjects is 74, how many marks did he secure in the 6 th subject?
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[Assistant] 110

[User]
out of 410 students of a school, 325 play football, 175 play cricket and 50 neither play football nor cricket. how many students play both football and cricket?
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[Assistant] 140


[User]
a number consists of 3 digit whose sum is 10. the middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. the number is :
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[Assistant] 253

[User]
what amount does an investor receive if the investor invests $ 5000 at 10 % p. a. compound interest for two years, compounding done annually?
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[Assistant] $ 6050

[User]
of the 3,600 employees of company x, 1 / 4 are clerical. if the clerical staff were to be reduced by 1 / 4, what percent of the total number of the remaining employees would then be clerical?
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[Assistant] 20 %

[User]
there are 12 teams in a certain league and each team plays each of the other teams exactly once. what is the total number of games played?
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[Assistant] 66

[User]
tough and tricky questions : statistics. set x consists of prime numbers { 3, 11, 7, a, 17, 19 }. if integer y represents the product of all elements in set x and if 11 y is an even number, what is the range of set x?
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[Assistant] 17


[User]
in a simultaneous throw of a pair of dice, find the probability of getting a total more than 4
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[Assistant] 1 / 3

[User]
what is the total number of integers between 100 and 250 that are divisible by 5?
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[Assistant] 29

[User]
what profit percent is made by selling an article at a certain price, if by selling at 4 / 5 rd of that price, there would be a loss of 20 %?
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[Assistant] 0 %

[User]
on a sum of money, the simple interest for 2 years is rs. 320, while the compound interest is rs. 340, the rate of interest being the same in both the cases. the rate of interest is
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[Assistant] 12.5 %

[User]
if x, y, and z are positive real numbers such that x ( y + z ) = 62, y ( z + x ) = 82, and z ( x + y ) = 100, then xyz is
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[Assistant] 120


[User]
of the families in city x in 1992, 30 percent owned a personal computer. the number of families in city x owning a computer in 1999 was 50 percent greater than it was in 1992, and the total number of families in city x was 5 percent greater in 1999 than it was in 1994. what percent of the families in city x owned a personal computer in 1999?
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[Assistant] 42.85 %

[User]
of the votes cast on a certain proposal, 70 more were in favor of the proposal than were against it. if the number of votes against the proposal was 40 percent of the total vote, what was the total number of votes cast? ( each vote cast was either in favor of the proposal or against it. )
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[Assistant] 350

[User]
a man can do a piece of work in 4 days, but with the help of his son he can do it in 3 days. in what time can the son do it alone?
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[Assistant] 12 days

[User]
beginning in town a, biker bob rides his bike 10 miles west, 5 miles north, 5 miles east, and then 15 miles north, to town b. how far apart are town a and town b? ( ignore the curvature of the earth. )
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[Assistant] 20.62 miles

[User]
a, b and c have rs. 400 between them, a and c together have rs. 300 and b and c rs. 150. how much does c have?
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[Assistant] 50


[User]
0.0002152 / 0.000205 x 12.05 =?
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[Assistant] 12.6

[User]
city x has a population 8 times as great as the population of city y, which has a population twice as great as the population of city z. what is the ratio of the population of city x to the population of city z?
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[Assistant] 16 : 1

[User]
in digging a pond 20 m * 10 m * 8 m the volumes of the soil extracted will be?
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[Assistant] 1600

[User]
a man took loan from a bank at the rate of 12 % p. a. s. i. after 10 years he had to pay rs. 1500 interest only for the period. the principal amount borrowed by him was?
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[Assistant] 1250

[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 8 people all together. how many people can sit in a bus?
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[Assistant] 89


[User]
if a town of 45,000 people is growing at a rate of approx. 1 % per year, the population of the town in 5 years will be closest to?
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[Assistant] a. 46000

[User]
a computer wholesaler sells 10 different computers and each is priced differently. if the wholesaler chooses 3 computers for display at a trade show, what is the probability ( all things being equal ) that the two most expensive computers will be among the 3 chosen for display?
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[Assistant] 1 / 15

[User]
on thursday mabel handled 90 transactions. anthony handled 10 % more transactions than mabel, cal handled 2 / 3 rds of the transactions that anthony handled, and jade handled 17 more transactions than cal. how much transactions did jade handled?
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[Assistant] 83

[User]
among 600 students, 56 % study sociology, 44 % study mathematics and 40 % study biology. if 30 % of students study both mathematics and sociology, what is the largest possible number of students who study biology but do not study either mathematics or sociology?
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[Assistant] 180

[User]
if a farmer sells 15 of his goats, his stock of feed will last for 4 more days than planned, but if he buys 20 more goats, he will run out of feed 3 days earlier than planned. if no goats are sold or bought, the farmer will be exactly on schedule. how many goats does the farmer have?
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[Assistant] 60


[User]
a student chose a number, multiplied it by 2, then subtracted 200 from the result and got 110. what was the number he chose?
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[Assistant] 155

[User]
20 beavers, working together in a constant pace, can build a dam in 3 hours. how many hours will it take 12 beavers that work at the same pace, to build the same dam?
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[Assistant] 6

[User]
the average expenditure of a labourer for 6 months was 90 and he fell into debt. in the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30. his monthly income i
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[Assistant] 81

[User]
an aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. to cover the same distance in 1 hours, it must travel at a speed of :
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[Assistant] 720 kmph

[User]
the length of rectangle is thrice its breadth and its perimeter is 48 m, find the area of the rectangle?
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[Assistant] 108


[User]
find the value of ( √ 1.1 ) / ( √ 0.81 ) + ( √ 1.44 ) / ( √ 0.49 ) is
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[Assistant] 2.879

[User]
if rs. 7500 are borrowed at c. i at the rate of 4 % per annum, then after 6 years the amount to be paid is?
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[Assistant] 9490

[User]
if x ^ 2 + y ^ 2 = 15 and xy = 3, then ( x − y ) ^ 2 =
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[Assistant] 9

[User]
the perimeter of a triangle is 48 cm and the in radius of the triangle is 2.5 cm. what is the area of the triangle?
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[Assistant] 60

[User]
if h = { 1, 7, 18, 20, 29, 33 }, how much less is the mean of the numbers in h than the median of the numbers in h?
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[Assistant] 1.0


[User]
what will be the cost of house to paint which area equal to 484 sq ft, if the price per foot of building is rs. 20
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[Assistant] 1760

[User]
x varies inversely as square of y. given that y = 2 for x = 1. the value of x for y = 6 will be equal to?
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[Assistant] 1 / 9

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

[User]
there are, in a certain league, 50 teams, and each team face another team for a total of 4 times. how many games are played in the season?
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[Assistant] 4900

[User]
a cycle is bought for rs. 1000 and sold for rs. 2000, find the gain percent?
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[Assistant] 100