[User]
in a particular state, 60 % of the counties received some rain on monday, and 55 % of the counties received some rain on tuesday. no rain fell either day in 25 % of the counties in the state. what percent of the counties received some rain on monday and tuesday?
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[Assistant] 40 %

[User]
triathlete dan runs along a 2 - mile stretch of river and then swims back along the same route. if dan runs at a rate of 10 miles per hour and swims at a rate of 5 miles per hour, what is his average rate for the entire trip in miles per minute?
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[Assistant] 1 / 9

[User]
what is the smallest number which when increased by 3 is divisible by 12, 15, 35, and 40?
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[Assistant] 837

[User]
on a race track a maximum of 5 horses can race together at a time. there are a total of 25 horses. there is no way of timing the races. what is the minimum number r of races we need to conduct to get the top 3 fastest horses?
Answer the question using a single word or phrase.

[Assistant] 7

[User]
if a certain toy store's revenue in november was 2 / 5 of its revenue in december and its revenue in january was 1 / 2 of its revenue in november, then the store's revenue in december was how many times the average ( arithmetic mean ) of its revenues in november and january?
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[Assistant] 10 / 3


[User]
7 people average age is 30. youngest person age is 5. find average of the people when youngest was born.
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[Assistant] 25

[User]
the average age of applicants for a new job is 35, with a standard deviation of 30. the hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age. assuming that all applicants'ages are integers and that the endpoints of the range are included, what is the maximum number of different ages of the applicants?
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[Assistant] 31

[User]
linda spent 3 / 5 of her savings on furniture and the rest on a tv. if the tv cost her $ 400, what were her original savings?
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[Assistant] $ 1000

[User]
a man buys an item at rs. 1300 and sells it at the loss of 20 percent. then what is the selling price of that item
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[Assistant] rs. 1040

[User]
two different primes may be said torhymearound an integer if they are the same distance from the integer on the number line. for instance, 3 and 7 rhyme around 5. what integer w between 1 and 20, inclusive, has the greatest number of distinct rhyming primes around it?
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[Assistant] w = 18


[User]
a sum of money lent out at s. i. amounts to rs. 850 after 2 years and to rs. 1020 after a further period of 5 years. the sum is?
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[Assistant] s. 782

[User]
on dividing 15698 by a certain number, we get 89 as quotient and 14 as remainder. what is the divisor?
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[Assistant] 176

[User]
angelo and isabella are both salespersons. in any given week, angelo makes $ 570 in base salary plus 8 percent of the portion of his sales above $ 1,000 for that week. isabella makes 10 percent of her total sales for any given week. for what amount of weekly sales would angelo and isabella earn the same amount of money?
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[Assistant] 24,500

[User]
income and expenditure of a person are in the ratio 4 : 3. if the income of the person is rs. 20000, then find his savings?
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[Assistant] rs. 5000

[User]
given that 268 x 74 = 19832, find the value of 2.68 x. 74.
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[Assistant] 1.9832


[User]
the average age of 60 students in a class is 10 years. if teacher's age is also included then average increases 1 year then find the teacher's age?
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[Assistant] 71

[User]
the ratio of investments of two partners p and q is 7 : 5.00001 and the ratio of their profits is 7.00001 : 10. if p invested the money for 5 months, find for how much time did q invest the money?
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[Assistant] 10

[User]
the speed of a boat in still water is 20 km / hr and the rate of current is 5 km / hr. the distance traveled downstream in 15 minutes is :
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[Assistant] 6.25

[User]
by selling 80 pens, a trader gains the cost of 20 pens. find his gain percentage?
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[Assistant] 25 %

[User]
a salt manufacturing company produced a total of 1000 tonnes of salt in january of a particular year. starting from february its production increased by 100 tonnes every month over the previous months until the end of the year. find its average monthly production for that year?
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[Assistant] 1550


[User]
a batsman in his 11 th inning makes a score of 69 and their by increasing his average by 1. what is his average after the 11 th inning?
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[Assistant] 59

[User]
john makes $ 40 a week from his job. he earns a raise andnow makes $ 55 a week. what is the % increase?
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[Assistant] 37.5 %

[User]
if x and y are positive integers and y ≠ 1, then xy ( y − 1 ) is
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[Assistant] always even

[User]
you collect baseball cards. suppose you start out with 13. maria takes half of one more than the number of baseball cards you have. since you're nice, you give peter 1 baseball card. since his father makes baseball cards, paul decides to triple your baseball cards. how many baseball cards do you have at the end?
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[Assistant] 15

[User]
the list price of an article is rs. 70. a customer pays rs. 61.74 for it. he was given two successive discounts, one of them being 10 %. the other discount is?
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[Assistant] 2 %


[User]
what is the smallest integer b for which 27 ^ b > 3 ^ 24?
Answer the question using a single word or phrase.

[Assistant] 9

[User]
the median annual household income in a certain community of 21 households is $ 50000. if the mean r income of a household increases by 10 % per year over the next 2 years, what will the median income in the community be in 2 years?
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[Assistant] can not be determined

[User]
the contents of a certain box consist of 80 apples and 30 oranges. how many oranges must be added to the box so that exactly 50 % of the pieces of fruit in the box will be apples?
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[Assistant] 50

[User]
the sum of the squares of three numbers is 125, while the sum of their products taken two at a time is 50. their sum is :
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[Assistant] 15

[User]
in a rectangular coordinate system, what is the area of a quadrilateral whose vertices have the coordinates ( 3, - 1 ), ( 3, 8 ), ( 14, 2 ), ( 14, - 5 )?
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[Assistant] 88


[User]
a man was engaged on a job for 30 days on the condition that he would get a wage of rs. 10 for the day he works, but he have to pay a fine of rs. 2 for each day of his absence. if he gets rs. 216 at the end, he was absent for work for... days.
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[Assistant] 7 days

[User]
if 9 ^ y = 3 ^ 16, what is y?
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[Assistant] 8

[User]
the average age of 3 boys is 15 years and their ages are in proportion 3 : 5 : 7. what is the age in years of the eldest boy?
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[Assistant] 21

[User]
a certain manufacturer of cake, muffin, and bread mixes has 100 buyers, of whom 50 purchases cake mix, 40 purchase muffin mix, and 19 purchase both cake mix and muffin mix. if a buyer is to be selected at random from the 100 buyers, what is the probability that the buyer selected will be one who purchases neither cake mix nor muffin mix?
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[Assistant] 29 / 100

[User]
a towel, when bleached, lost 30 % of its length and 15 % of its breadth. what is the percentage decrease in area?
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[Assistant] 40.5 %


[User]
if a, b and c together can finish a piece of work in 4 days. a alone in 12 days and b in 24 days, then c alone can do it in?
Answer the question using a single word or phrase.

[Assistant] 8

[User]
at the end of the day, february 14 th, a florist had 120 roses left in his shop, all of which were red, white or pink in color and either long or short - stemmed. a third of the roses were short - stemmed, 15 of which were white and 15 of which were pink. the percentage of pink roses that were short - stemmed equaled the percentage of red roses that were short - stemmed. if none of the long - stemmed roses were white, what percentage of the long - stemmed roses were red?
Answer the question using a single word or phrase.

[Assistant] 62.5 %

[User]
the average weight of 10 persons increases by 7.2 kg when a new person comes in place of one of them weighing 65 kg. what might be the weight of the new person?
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[Assistant] 137 kg

[User]
a fold density is 19 times greater than the water and for copper it is 9 times. at what ratio you can mix gold and copper to get 15 times denser than water.?
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[Assistant] 3 : 2

[User]
r is the set of positive even integers less than 50, and s is the set of the squares of the integers in r. how many elements does the intersection of r and s contain?
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[Assistant] three


[User]
a sun is divided among x, y and z in such a way that for each rupee x gets, y gets 45 paisa and z gets 50 paisa. if the share of y is rs. 45, what is the total amount?
Answer the question using a single word or phrase.

[Assistant] 195

[User]
a jar contains a mixture of two liquids acid ( nitric acid ) and base ( ammonium chloride ) in the ratio 4 : 1. when 10 litres of the mixture is taken out and 10 litres of liquid base is poured into the jar, the ratio becomes 2 : 3. how many litres of liquid acid was contained in the jar?
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[Assistant] 16 lts

[User]
if x + y = 4, x - y = 36, for integers of x and y, x =?
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[Assistant] 20

[User]
if c is 25 % of a and 15 % of b, what percent of a is b?
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[Assistant] 125 %

[User]
a certain bus driver is paid a regular rate of $ 16 per hour for any number of hours that does not exceed 40 hours per week. for any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75 % higher than his regular rate. if last week the bus driver earned $ 864 in total compensation, how many total hours did he work that week?
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[Assistant] 48


[User]
praveen starts business with rs. 3500 and after 5 months, hari joins with praveen as his partner. after a year, the profit is divided in the ratio 2 : 3. what is hari ’ s contribution in the capital?
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[Assistant] rs. 9000

[User]
in a group of 250 readers who read science fiction or literacy works or both, 180 read science fiction and 88 read literacy works. how many read both science fiction and literacy works?
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[Assistant] 18

[User]
in a certain circle there are 10 points. what is the number of the triangles connecting 5 points of the 10 points?
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[Assistant] 252

[User]
solution x is 10 percent alcohol by volume, and solution y is 30 percent alcohol by volume. how many milliliters of solution y must be added to 200 milliliters of solution x to create a solution that is 14 percent alcohol by volume?
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[Assistant] 50

[User]
the difference between the place value and the face value of 6 in the numerical 856973 is
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[Assistant] 5994


[User]
if n = 8 ^ 8 – 5, what is the units digit of n?
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[Assistant] 5

[User]
patrick purchased 80 pencils and sold them at a loss equal to the selling price of 16 pencils. the cost of 80 pencils is how many times the selling price of 80 pencils?
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[Assistant] 1.2

[User]
how many odd numbers between 10 and 1,200 are the squares of integers?
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[Assistant] 16

[User]
if 6 women take an hour to dig a ditch, then how long should 18 women take a dig to ditch of the same type?
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[Assistant] 20 min

[User]
if the price of a book is first decreased by 50 % and then increased by 60 %, then the net change in the price will be?
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[Assistant] 20 % decrease


[User]
if a farmer sells 15 of his chickens, his stock of feed will last for 4 more days than planned, but if he buys 10 more chickens, he will run out of feed 6 days earlier than planned. if no chickens are sold or bought, the farmer will be exactly on schedule. how many chickens does the farmer have?
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[Assistant] 30

[User]
a bag contains 10 red jellybeans and 10 blue jellybeans. if 3 jellybeans are removed one at a time, at random and are not replaced, what is the probability q that all 3 jellybeans removed from the bag are blue?
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[Assistant] 2 / 19

[User]
find the value of x from this equation? 7 ( x - 1 ) = 21
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[Assistant] 4

[User]
a person incurs 10 % loss by selling a watch for $ 100. at what price should the watch be sold to earn 10 % profit?
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[Assistant] $ 122

[User]
a sun is divided among x, y and z in such a way that for each rupee x gets, y gets 45 paisa and z gets 30 paisa. if the share of y is rs. 27, what is the total amount?
Answer the question using a single word or phrase.

[Assistant] 105


[User]
an association of mathematics teachers has 1,500 members. only 525 of these members cast votes in the election for president of the association. what percent of the total membership voted for the winning candidate if the winning candidate received 40 percent of the votes cast?
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[Assistant] 14 %

[User]
to fill a tank, 25 buckets of water is required. how many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to 3 / 5 of its present?
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[Assistant] 41.66667

[User]
salesperson a's compensation for any week is $ 300 plus 6 percent of the portion of a's total sales above $ 1,000 for that week. salesperson b's compensation for any week is 8 percent of b's total sales for that week. for what amount of total weekly sales would both salepeople earn the same compensation?
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[Assistant] $ 12,000

[User]
ritesh and co. generated revenue of rs. 1,800 in 2006. this was 12.5 % of its gross revenue. in 2007, the gross revenue grew by rs. 2,500. what is the percentage increase in the revenue in 2007?
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[Assistant] 17.36 %

[User]
there are 28 stations between kolkatta and chennai. how many second class tickets have to be printed, so that a passenger can travel from any station to any other station?
Answer the question using a single word or phrase.

[Assistant] 870


[User]
a contractor is engaged for 30 days on the condition that he receives rs. 25 for each day he works & is fined rs. 7.50 for each day is absent. he gets rs. 490 in all. for how many days was he absent?
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[Assistant] 8

[User]
albert is 2 times mary ’ s age and 4 times as old as betty. mary is 10 years younger than albert. how old is betty?
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[Assistant] 5

[User]
a worker is paid rs. 20 / - for a full days work. he works 11 / 32 / 31 / 8.3 / 4 days in a week. what is the total amount paid for that worker?
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[Assistant] 57.5 rupees

[User]
how many odd factors does 270 have?
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[Assistant] 4

[User]
find a number such that when 15 is subtracted from 7 times the number, the results is more than twice the number?
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[Assistant] 5


[User]
having received his weekly allowance, a student spent 3 / 5 of his allowance at the arcade. the next day he spent one third of his remaining allowance at the toy store, and then spent his last $ 1.00 at the candy store. what is this student ’ s weekly allowance?
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[Assistant] $ 3.75

[User]
if 2 | 2 – e | = 5, what is the sum of all the possible values for e?
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[Assistant] 4

[User]
the market value of a certain machine decreased by 10 percent of its purchase price each year. if the machine was purchased in 1982 for its market value of $ 8,000, what was its market value two years later?
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[Assistant] $ 6,400

[User]
fox jeans regularly sell for $ 15 a pair and pony jeans regularly sell for $ 18 a pair. during a sale these regular unit prices are discounted at different rates so that a total of $ 5 is saved by purchasing 5 pairs of jeans : 3 pairs of fox jeans and 2 pairs of pony jeans. if the sum of the two discounts rates is 18 percent, what is the discount rate on pony jeans?
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[Assistant] 34.4 %

[User]
if | y + 5 | = 8, what is the sum of all the possible values of y?
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[Assistant] - 10


[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 v per t - shirt that the vendor paid for these purchases?
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[Assistant] $ 12.20

[User]
if 5 machines can produce 20 units in 10 hours, how long would it take 20 machines to produce 120 units?
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[Assistant] 15 hours

[User]
a certain sum of money is divided among a, b and c so that for each rs. a has, b has 65 paisa and c 40 paisa. if c's share is rs. 48, find the sum of money?
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[Assistant] 246

[User]
a is four times as fast as b. if b alone can do a piece of work in 60 days, in what time can a and b together complete the work?
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[Assistant] 12

[User]
8 men can do a piece of work in 12 days. 4 women can do it in 48 days and 10 children can do it in 24 days. in how many days can 10 men, 4 women and 10 children together complete the piece of work?
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[Assistant] 6 days


[User]
if a positive integer n has 211 factors, then how many prime factors does n have?
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[Assistant] 1

[User]
rahim bought 65 books for rs. 1150 from one shop and 50 books for rs. 920 from another. what is the average price he paid per book?
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[Assistant] rs. 18

[User]
a cistern 10 m long and 6 m wide contains water up to a breadth of 1 m 35 cm. find the total area of the wet surface.
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[Assistant] 103 m sqaure

[User]
a city with a population of 173,460 is to be divided into 9 voting districts, and no district is to have a population that is more than 10 percent greater than the population of any other district. what is the minimum possible population that the least populated district could have?
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[Assistant] 17,700

[User]
car q and car y traveled the same 80 - mile route. if car q took 2 hours and car y traveled at an average speed that was 50 percent faster than the average speed of car q, how many hours did it take car y to travel the route?
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[Assistant] 4 / 3


[User]
the simple form of the ratio 2 / 3 : 2 / 5 is
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[Assistant] 5 : 3

[User]
rs. 1500 is divided into two parts such that if one part is invested at 6 % and the other at 5 % the whole annual interest from both the sum is rs. 83. how much was lent at 5 %?
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[Assistant] 700

[User]
a towel, when bleached, was found to have lost 20 % of its length and 10 % of its breadth. the percentage of decrease in area is?
Answer the question using a single word or phrase.

[Assistant] 28 %

[User]
gold is 10 times as heavy as water and copper is 5 times as heavy as water. in what ratio should these be mixed to get an alloy 6 times as heavy as water?
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[Assistant] 1 : 4

[User]
calculate how many days it will take for 8 boys to paint a 50 m long wall if 6 boys can paint a 60 m long wall in 5 days,
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[Assistant] 3.13 days


[User]
a fair price shopkeeper takes 10 % profit on his goods. he lost 20 % goods during theft. his loss percent is :
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[Assistant] 12

[User]
a customer went to a shop and paid a total of $ 40, out of which 90 cents was for sales tax on taxable purchases. if the tax rate was 6 %, then what was the cost of the tax free items?
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[Assistant] $ 24.10

[User]
albert buys 4 horses and 9 cows for rs. 13,400. if he sells the horses at 10 % profit and the cows at 20 % profit, then he earns a total profit of rs. 1880. the cost of a horse is :
Answer the question using a single word or phrase.

[Assistant] rs. 2000

[User]
two motor bikes cover the same distance at the speed of 60 and 64 kmps respectively. find the distance traveled by them if the slower bike takes 1 hour more than the faster bike?
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[Assistant] 960 km

[User]
if x < y < z and y - x > 5, where x is an even integer and y and z are odd integers, what is the least possible value s of z - x?
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[Assistant] 9


[User]
if renee earns a raise of between 5 % and 10 %, non - inclusive, by what fraction could her salary have increased?
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[Assistant] 2 / 25

[User]
a merchant sells an item at a 20 % discount, but still makes a gross profit of 20 percent of the cost. what percent r of the cost would the gross profit on the item have been if it had been sold without the discount?
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[Assistant] 50 %

[User]
in δ pqs above, if pq = 5 and ps = 6, then
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[Assistant] 30 / 7

[User]
in a graduate physics course, 70 percent of the students are male and 30 percent of the students are married. if two - sevenths of the male students are married, what fraction of the male students is single?
Answer the question using a single word or phrase.

[Assistant] 5 / 7

[User]
johnny travels a total of one hour to and from school. on the way there he jogs at 4 miles per hour and on the return trip he gets picked up by the bus and returns home at 20 miles per hour. how far is it to the school?
Answer the question using a single word or phrase.

[Assistant] 6.6 miles


[User]
an engine moves at the speed of 90 kmph without any coaches attached to it. speed of the train reduces at the rate that varies directly as the square root of the number of coaches attached. when 4 coaches are attached speed decreases to 78 kmph. what will be the speed of train when 16 coaches are attached.
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[Assistant] 66

[User]
at what rate percent of simple interest will a sum of money double itself in 77 years?
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[Assistant] 1.29 %

[User]
what is the value of 10 ^ 7 - 6 ^ 5?
Answer the question using a single word or phrase.

[Assistant] 99, 92,224

[User]
dacid obtained 73, 69, 92, 64 and 82 marks ( out of 100 ) in english, mathematics, physics, chemistry and biology. what are his average marks?
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[Assistant] 76

[User]
in may mrs lee's earnings were 60 percent of the lee family's total income. in june mrs lee earned 30 percent more than in may. if the rest of the family's income was the same both months, then, in june, mrs lee's earnings were approximately what percent of the lee family's total income?
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[Assistant] 66 %


[User]
r and s together can plough a field in 10 hours but by himself r requires 15 hours. how long would s take to plough the same field?
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[Assistant] 20 hours

[User]
the area of a square is equal to five times the area of a rectangle of dimensions 60 cm * 12 cm. what is the perimeter of the square?
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[Assistant] 240 cm

[User]
36 is divided in 2 parts such that 8 times the first part added to 3 times the second part makes 203. what is the first part?
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[Assistant] 19

[User]
roy is now 8 years older than julia and half of that amount older than kelly. if in 2 years, roy will be twice as old as julia, then in 2 years what would be roy ’ s age multiplied by kelly ’ s age?
Answer the question using a single word or phrase.

[Assistant] 192

[User]
the radius of a cylindrical vessel is 5 cm and height is 3 cm. find the whole surface of the cylinder?
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[Assistant] 251.4 sq cm


[User]
mike works at a science lab that conducts experiments on bacteria. the population of the bacteria multiplies at a constant rate, and his job is to notate the population of a certain group of bacteria each hour. at 1 p. m. on a certain day, he noted that the population was 500 and then he left the lab. he returned in time to take a reading at 4 p. m., by which point the population had grown to 62,500. now he has to fill in the missing data for 2 p. m. and 3 p. m. what was the population at 3 p. m.?
Answer the question using a single word or phrase.

[Assistant] 12500

[User]
the average weight of a group of boys is 20 kg. after a boy of weight 35 kg joins the group, the average weight of the group goes up by 1 kg. find the number of boys in the group originally?
Answer the question using a single word or phrase.

[Assistant] 14

[User]
at a certain bowling alley, it costs $ 0.50 to rent bowling shoes for the day and $ 1.75 to bowl 1 game. if a person has $ 12.80 and must rent shoes, what is the greatest number of complete games that person can bowl in one day?
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[Assistant] 7

[User]
the ratio of number of boys and girls in a school is 3 : 5. if there are 320 students in the school, find the number of girls in the school?
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[Assistant] 200

[User]
the arithmetic mean and standard deviation of a certain normal distribution are 14.5 and 1.5, respectively. what value is exactly 2 standard deviations less than the mean?
Answer the question using a single word or phrase.

[Assistant] 11.5


[User]
if x is an integer and 2.134 × 10 ^ x is less than 220,000, what is the greatest possible value for x?
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[Assistant] 5

[User]
calculate 469157 x 9999 =?
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[Assistant] 4691100843

[User]
the area of a square field is 400 km 2. how long will it take for a horse to run around at the speed of 20 km / h?
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[Assistant] 4 h

[User]
there are 10 dozen mangoes in a box. if there are 36 such boxes, how many mangoes are there in all the boxes together?
Answer the question using a single word or phrase.

[Assistant] 4320

[User]
if a and b are in the ratio 3 : 4, and b and c in the ratio 12 : 13, then a and c will be in the ratio
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[Assistant] 9 : 13


[User]
a shopkeeper sold an article offering a discount of 4 % and earned a profit of 38 %. what would have been the percentage of profit earned if no discount was offered?
Answer the question using a single word or phrase.

[Assistant] 44

[User]
two trains of length 160 m and 320 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. in what time will they be clear of each other from the moment they meet?
Answer the question using a single word or phrase.

[Assistant] 24 sec

[User]
solve ( 0.76 × 0.76 × 0.76 − 0.008 ) / ( 0.76 × 0.76 + 0.76 × 0.2 + 0.04 )
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[Assistant] 0.56

[User]
if the average ( arithmetic mean ) of 2 x, 4 x, and 8 x is 140, what is the value of x?
Answer the question using a single word or phrase.

[Assistant] 30

[User]
if the probability of rain on any given day in chicago during the summer is 50 %, independent of what happens on any other day, what is the probability of having exactly 3 rainy days from july 4 through july 10 inclusive?
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[Assistant] 35 / 128


[User]
what is the positive difference between the sum of the squares of the first 5 positive integers and the sum of the prime numbers between the first square and fourth square?
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[Assistant] 14

[User]
find the value of 80641 x 9999 = m?
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[Assistant] 806329359

[User]
3889 + 12.952 –? = 3854.002
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[Assistant] 47.95

[User]
which number is a factor of 20?
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[Assistant] 4

[User]
there are 2 sections a and b in a class, consisting of 24 and 16 students respectively. if the average weight of section a is 40 kg and that of section b is 35 kg, find the average of the whole class?
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[Assistant] 38 kg


[User]
if n divided by 5 has a remainder of 4, what is the remainder when 3 times n is divided by 5?
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[Assistant] 2

[User]
a man can row downstream at 18 kmph and upstream at 10 kmph. find the speed of the man in still water and the speed of stream respectively?
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[Assistant] 4

[User]
if four machines working at the same rate can do 3 / 4 of a job in 30 minutes, how many minutes would it take two machines working at the same rate to do 3 / 5 of the job?
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[Assistant] 48

[User]
the ratio of number of boys and girls in a school is 2 : 5. if there are 210 students in the school, find the number of girls in the school?
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[Assistant] 150

[User]
what is the lowest positive integer that is divisible by each of the integers 1 through 10 inclusive?
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[Assistant] 2520


[User]
there are two positive integers a and b. what is the probability that a + b is odd /
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[Assistant] 1 / 2

[User]
of the 150 employees at company x, 60 are full - time, and 100 have worked at company x for at least a year. there are 20 employees at company x who aren ’ t full - time and haven ’ t worked at company x for at least a year. how many full - time employees of company x have worked at the company for at least a year?
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[Assistant] 80

[User]
what is the least number. which should be added to 0.0355 to make it a perfect square?
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[Assistant] 0.0006

[User]
if x + 4 y = 5 and 5 x + 6 y = 7, then 3 x + 5 y =?
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[Assistant] 6

[User]
the distance from steve's house to work is 10 km. on the way back steve drives twice as fast as he did on the way to work. altogether, steve is spending 6 hours a day on the roads. what is steve's speed on the way back from work?
Answer the question using a single word or phrase.

[Assistant] 5.


[User]
car a is 40 miles behind car b, which is traveling in the same direction along the same route as car a. car a is traveling at a constant speed of 58 miles per hour and car bis traveling at a constant speed of 50 miles per hour. how many hours will it take for car a to overtake and drive 8 miles ahead of car b?
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[Assistant] 6

[User]
in the xy - coordinate plane, the graph of y = - x ^ 2 + 9 intersects line l at ( p, 5 ) and ( t, - 8 ). what is the least possible value of the slope of line l?
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[Assistant] - 6.5

[User]
two fill taps a and b can separately fill a cistern in 45 and 40 minutes respectively. they started to fill a cistern together but tap a is turned off after few minutes and tap b fills the rest part of cistern in 23 minutes. after how many minutes, was tap a turned - off?
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[Assistant] 9 min

[User]
find the compound interest on $ 1200 for 4 years at 20 % p. a. if ci is component yearly?
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[Assistant] $ 1288

[User]
in a company 10 % of male staff are same in number as 1 / 4 th of the female staff. what is the ratio of male staff to female staff
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[Assistant] 5 : 2


[User]
the ratio, by volume, of bleach to detergent to water in a certain solution is 2 : 25 : 100. the solution will be altered so that the ratio of bleach to detergent is tripled while the ratio of detergent to water is halved. if the altered solution will contain 300 liters of water, how many liters of detergent will it contain?
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[Assistant] 75 / 2

[User]
the average weight of 10 persons increases by 6.3 kg when a new person comes in place of one of them weighing 65 kg. what might be the weight of the new person?
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[Assistant] 128 kg

[User]
a charitable association sold an average of 66 raffle tickets per member. among the female members, the average was 70 raffle tickets. the male to female ratio of the association is 1 : 2. what was the average number t of tickets sold by the male members of the association
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[Assistant] 58

[User]
the speed of a car is 98 km in the first hour and 60 km in the second hour. what is the average speed of the car?
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[Assistant] 79 kmph

[User]
what is the least whole number that should be added to 625573 if it is to be divisible by 3?
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[Assistant] 2


[User]
what least number must be subtracted from 2000 to get a number exactly divisible by 17?
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[Assistant] 11

[User]
how many 7 in between 1 to 120?
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[Assistant] 22

[User]
in 1990 the budgets for projects q and v were $ 620,000 and $ 780,000, respectively. in each of the next 10 years, the budget for q was increased by $ 30,000 and the budget for v was decreased by $ 10,000. in which year was the budget for q equal to the budget for v?
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[Assistant] 1994

[User]
at an upscale fast - food restaurant, shin can buy 3 burgers, 7 shakes, and one cola for $ 120. at the same place it would cost $ 162.50 for 4 burgers, 10 shakes, and one cola. how much would it cost for a meal of one burger, one shake, and one cola?
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[Assistant] $ 35

[User]
a hiker walked for 3 days. she walked 18 miles on the first day, walking 3 miles per hour. on the second day she walked for one less hour but she walked one mile per hour, faster than on the first day. on the third day she walked the same number of hours as on the first day at 1 mile faster than 2 nd day for same hours. how many miles in total did she walk?
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[Assistant] 63


[User]
simplify : ( 4 + 3 ) + ( 8 - 3 - 1 )
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[Assistant] 11

[User]
a train running at the speed of 56 km / hr crosses a pole in 9 seconds. find the length of the train?
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[Assistant] 140

[User]
how many 9 - digits number are palindromic numbers? a palindromic number reads the same forward and backward, example 123454321.
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[Assistant] 90000

[User]
when sold at a 60 % discount, a sweater nets the merchant a 20 % profit on the wholesale cost at which he initially purchased the item. by what % is the sweater marked up from wholesale at its normal retail price?
Answer the question using a single word or phrase.

[Assistant] 66.67 %

[User]
jayant opened a shop investing rs. 30,000. madhu joined him 2 months later, investing rs. 45,000. they earned a profit of rs. 56,000 after completion of one year. what will be madhu's share of profit?
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[Assistant] rs. 28,000


[User]
a start walking from a place at a uniform speed of 3 kmph in a particular direction. after half an hour, b starts from the same place and walks in the same direction as a at a uniform speed and overtakes a after 1 hour 48 minutes. find the speed of b.
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[Assistant] 3.6 kmph

[User]
find the 25 % of rs. 600.
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[Assistant] s. 150

[User]
ramu bought an old car for rs. 42000. he spent rs. 13000 on repairs and sold it for rs. 60900. what is his profit percent?
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[Assistant] 10.7 %

[User]
an engineer designed a ball so that when it was dropped, it rose with each bounce exactly one - half as high as it had fallen. the engineer dropped the ball from a 10 - meter platform and caught it after it had traveled 29.65 meters. how many times did the ball bounce?
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[Assistant] 6

[User]
if the length of the sides of two cubes are in the ratio 2 : 1, what is the ratio of their total surface area?
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[Assistant] 4 : 1


[User]
a question paper has 2 parts, a & b, each containing 5 questions. if a student has to choose 3 from part a & 4 from part b, in how many ways can he choose the questions?
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[Assistant] 50

[User]
a walks at 30 kmph and 30 hours after his start, b cycles after him at 42 kmph. how far from the start does b catch up with a?
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[Assistant] 3150 km

[User]
what is the speed of the stream if a canoe rows upstream at 8 km / hr and downstream at 12 km / hr
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[Assistant] 2 kmph

[User]
on the independence day, bananas were be equally distributed among the children in a school so that each child would get two bananas. on the particular day 305 children were absent and as a result each child got two extra bananas. find the actual number of children in the school?
Answer the question using a single word or phrase.

[Assistant] 610

[User]
at a florist shop on a certain day, all corsages sold for either $ 20 or $ 30. if 8 of the corsages that sold for $ 30 had instead sold for $ 20, then the store's revenue from corsages that day would have been reduced by 10 percent. what was the store's actual revenue from corsages that day?
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[Assistant] $ 800


[User]
two pots are in side - by - side. one pot, which is 20 inches tall, casts a shadow that is 10 inches long. the other pot is 40 inches tall. compute, in inches, the length of the shadow that the taller pot casts.
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[Assistant] 20

[User]
income and expenditure of a person are in the ratio 5 : 4. if the income of the person is rs. 19000, then find his savings?
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[Assistant] 3800

[User]
( ( - 1.9 ) ( 0.6 ) – ( 2.6 ) ( 1.2 ) ) / 7.0 =?
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[Assistant] - 0.61

[User]
if 9 a - b = 10 b + 60 = - 12 b - 2 a, what is the value of 11 a + 11 b?
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[Assistant] 0

[User]
in a fuel station the service costs $ 2.75 per car, every liter of fuel costs 0.65 $. 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] 462 $


[User]
find 20 % of 240
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[Assistant] 48

[User]
if n is an integer, f ( n ) = f ( n - 1 ) - n and f ( 4 ) = 12. what is the value of f ( 6 )?
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[Assistant] 1

[User]
if the charge of staying in a student youth hostel $ 18.00 / day for the first week, and $ 12.00 / day for each additional week, how much does it cost to stay for 23 days?
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[Assistant] $ 318

[User]
when a number is divided by 3 & then multiply by 12 the answer is 9 what is the no.?
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[Assistant] 2.25

[User]
an error 2 % in excess is made while measuring the side of a square. the percentage of error in the calculated area of the square is :
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[Assistant] 4.04


[User]
lucia's sells kale at x dollar per pound for the first 20 pounds and. 8 x for every subsequent pound. amby's price is x per pound for the first 14 pounds and. 9 x for subsequent pounds. what is the minimum number of pounds over 15 for which lucia's becomes an equal or better deal?
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[Assistant] 26

[User]
when positive integer x is divided by 11, the quotient is y and the remainder is 4. when 2 x is divided by 6, the quotient is 3 y and the remainder is 1. what is the value of 7 y – x?
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[Assistant] 3

[User]
in a certain game, a large bag is filled with blue, green, purple and red chips worth 1, 5, x and 11 points each, respectively. the purple chips are worth more than the green chips, but less than the red chips. a certain number of chips are then selected from the bag. if the product of the point values of the selected chips is 140800, how many purple chips were selected?
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[Assistant] 3

[User]
evaluate 49 /. 07
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[Assistant] 700

[User]
an employee ’ s annual salary was increased 30 %. if her old annual salary equals $ 30,000, what was the new salary?
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[Assistant] $ 39,000


[User]
fresh grapes contain 90 % by weight while dried grapes contain 20 % water by weight. what is the weight of dry grapes available from 10 kg of fresh grapes?
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[Assistant] 1.250 kg

[User]
two trains, a and b, started simultaneously from opposite ends of a 200 - mile route and traveled toward each other on parallel tracks. train a, traveling at a constant rate, completed the 200 - mile trip in 10 hours ; train b, traveling at a constant rate, completed the 200 - mile trip in 6 hours. how many miles had train a traveled when it met train b?
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[Assistant] 75

[User]
a mixture of 200 liters of wine and water contains 20 % water. how much more water should be added so that water becomes 25 % of the new mixture?
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[Assistant] 13.33 liters

[User]
a question paper has 2 parts, a & b, each containing 10 questions. if a student has to choose 5 from part a & 10 from part b, in how many ways can he choose the questions?
Answer the question using a single word or phrase.

[Assistant] 252

[User]
on a certain date, pat invested $ 10,000 at x percent annual interest, compounded annually. if the total value of the investment plus interest at the end of 12 years will be $ 40,000, in how many years, the total value of the investment plus interest will increase to $ 240,000?
Answer the question using a single word or phrase.

[Assistant] 27


[User]
a shopkeeper buys two articles for rs. 1000 each and then sells them, making 30 % profit on the first article and 30 % loss on second article. find the net profit or loss percent?
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[Assistant] 300

[User]
a number is doubled and 11 is added. if resultant is doubled, it becomes 74. what is that number
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[Assistant] 13

[User]
raja and ram can together complete a piece of work in 4 days. if raja alone can complete the same work in 12 days, in how many days can ram alone complete that work?
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[Assistant] 6 days

[User]
fresh grapes contain 60 % water by weight and raisins obtained by drying fresh grapes contain 25 % water by weight. how many kgs of fresh grapes are needed to get 20 kgs of raisins?
Answer the question using a single word or phrase.

[Assistant] 37.5 kgs

[User]
on the independence day, bananas were be equally distributed among the children in a school so that each child would get two bananas. on the particular day 330 children were absent and as a result each child got two extra bananas. find the actual number of children in the school?
Answer the question using a single word or phrase.

[Assistant] 660


[User]
what is the remainder when 617 + 1176 is divided by 7?
Answer the question using a single word or phrase.

[Assistant] 1

[User]
a and b together can complete a piece of work in 4 days. if a alone can complete the same work in 12 days, in how many days can b alone complete that work?
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[Assistant] 6

[User]
a train 300 m long, running with a speed of 90 km / hr will pass a tree in?
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[Assistant] 12 sec

[User]
tourist purchased a total of 30 travelers checks in $ 50 and $ 100 denominations. the total worth of the travelers checks is $ 1800. how many checks of $ 50 denominations can he spend so that average amount ( arithmetic mean ) of the remaining travelers checks is $ 75?
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[Assistant] 18

[User]
if x is an integer and 2.134 × 10 ^ x is less than 21000, what is the greatest possible value for x?
Answer the question using a single word or phrase.

[Assistant] 3


[User]
the sum of two consecutive number is 97. which is the larger number?
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[Assistant] 49

[User]
3,10, 29,66, __
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[Assistant] 127

[User]
the sale price sarees listed for rs. 450 after successive discount is 20 % and 15 % is?
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[Assistant] 306

[User]
if there are 200 questions in a 3 hr examination. among these questions are 15 type a problems, which requires twice as much as time be spent than the rest of the type b problems. how many minutes should be spent on type a problems?
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[Assistant] 25.11628 min

[User]
express 45 mps in kmph?
Answer the question using a single word or phrase.

[Assistant] 162


[User]
a and b began business with rs. 3000 and rs. 4000 after 8 months, a withdraws rs. 1000 and b advances rs. 1000 more. at the end of the year, their profits amounted to rs. 630 find the share of a
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[Assistant] rs. 240

[User]
express a speed of 126 kmph in meters per second?
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[Assistant] 35 mps

[User]
the product of two numbers is 2028 and their h. c. f is 13. the number of such pairs is?
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[Assistant] 2

[User]
a cricket bat is sold for $ 850, making a profit of $ 245. the profit percentage would be
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[Assistant] 40 %

[User]
the speed of a car is 90 km in the first hour and 60 km in the second hour. what is the average speed of the car?
Answer the question using a single word or phrase.

[Assistant] 75


[User]
if shares of two persons in profits are rs. 300 and rs. 600 then ratio of their capitals is
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[Assistant] 1 : 2

[User]
a meeting has to be conducted with 5 managers. find the number of ways in which the managers be selected from among 8 managers, if 2 managers will not attend the meeting together?
Answer the question using a single word or phrase.

[Assistant] 36

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

[User]
sakshi can do a piece of work in 20 days. tanya is 25 % more efficient than sakshi. the number of days taken by tanya to do the same piece of work is :
Answer the question using a single word or phrase.

[Assistant] 16

[User]
two boats are heading towards each other at constant speeds of 5 miles / hr and 21 miles / hr respectively. they begin at a distance 20 miles from each other. how far are they ( in miles ) one minute before they collide?
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[Assistant] 13 / 30


[User]
36 men can complete a piece of work in 18 days. in how many days will 27 men complete the same work?
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[Assistant] 24

[User]
of the 3,600 employees of company x, 1 / 3 are clerical. if the clerical staff were to be reduced by 1 / 2, what percent of the total number of the remaining employees would then be clerical?
Answer the question using a single word or phrase.

[Assistant] 20 %

[User]
toby is 4 years younger than debby. thrice the sum of the ages of toby and debby equals their mother ’ s age. if the age of the mother is 60, find the ages of toby and debby?
Answer the question using a single word or phrase.

[Assistant] 8 and 12

[User]
if a lends rs. 2800 to b at 15 % per annum and b lends the same sum to c at 18.5 % per annum then the gain of b in a period of 3 years is?
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[Assistant] 294

[User]
find the average of all prime numbers between 20 and 30
Answer the question using a single word or phrase.

[Assistant] 26


[User]
a and b together can complete work in 4 days. a alone starts working and leaves it after working for 3 days completing only half of the work. in how many days it can be completed if the remaining job is undertaken by b?
Answer the question using a single word or phrase.

[Assistant] 6

[User]
sonika deposited rs. 8000 which amounted to rs. 9200 after 3 years at simple interest. had the interest been 1 % more. she would get how much?
Answer the question using a single word or phrase.

[Assistant] 9440

[User]
john is 3 times as old as sam. if john will be twice as old as sam in 9 years, how old was sam two years ago?
Answer the question using a single word or phrase.

[Assistant] 7

[User]
a bowl of fruit contains 14 apples and 23 oranges. how many oranges must be removed so that 70 % of the pieces of fruit in the bowl will be apples?
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[Assistant] 17

[User]
√ ( 49 ) 2
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[Assistant] 49


[User]
one woman and one man can build a wall together in three hours, but the woman would need the help of two girls in order to complete the same job in the same amount of time. if one man and one girl worked together, it would take them five hours to build the wall. assuming that rates for men, women and girls remain constant, how many hours would it take one woman, one man, and one girl, working together, to build the wall?
Answer the question using a single word or phrase.

[Assistant] 5 / 2

[User]
two trains each 170 m in length each, are running on two parallel lines in opposite directions. if one goes at the speed of 55 km / h while the other travels at 50 km / h. how long will it take for them to pass each other completely.
Answer the question using a single word or phrase.

[Assistant] 11.6 sec

[User]
8 cups of water are to be poured into a 4 - cup bottle and a 8 - cup bottle. if each bottle is to be filled to the same fraction of its capacity, how many cups of water should be poured into the 8 - cup bottle?
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[Assistant] 16 / 3

[User]
a candidate got 30 % of the votes polled and he lost to his rival by 4000 votes. how many votes were cast?
Answer the question using a single word or phrase.

[Assistant] 10000

[User]
the average age of a group of n people is 14 years old. one more person aged 32 joins the group and the new average is 15 years old. what is the value of n?
Answer the question using a single word or phrase.

[Assistant] 17


[User]
if 5 % more is gained by selling an article for rs. 350 than by selling it for rs. 345, the cost of the article is
Answer the question using a single word or phrase.

[Assistant] 100

[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 88, what is the difference between the ages of patrick and monica?
Answer the question using a single word or phrase.

[Assistant] 22

[User]
14 business executives and 7 chairmen meet at a conference. if each business executive shakes the hand of every other business executive and every chairman once, and each chairman shakes the hand of each of the business executives but not the other chairmen, how many handshakes would take place?
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[Assistant] 189

[User]
5 n - 3 > 12 and 7 n - 5 < 44 ; n must be between which numbers?
Answer the question using a single word or phrase.

[Assistant] 3 and 7

[User]
if @ is a binary operation defined as the difference between an integer n and the product of n and 5, then what is the largest positive integer n such that the outcome of the binary operation of n is less than 12?
Answer the question using a single word or phrase.

[Assistant] 2


[User]
a cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 11 hours. if both the taps are opened simultaneously, then after how much time will the cistern get filled?
Answer the question using a single word or phrase.

[Assistant] 6.28

[User]
what is 3 / 7 of 7 / 8 of 1 / 3?
Answer the question using a single word or phrase.

[Assistant] 1 / 8

[User]
the least number which should be added to 2400 so that the sum is exactly divisible by 5, 6,4 and 3 is :
Answer the question using a single word or phrase.

[Assistant] 20

[User]
in a competitive examination in state a, 6 % candidates got selected from the total appeared candidates. state b had an equal number of candidates appeared and 7 % candidates got selected with 82 more candidates got selected than a. what was the number of candidates appeared from each state?
Answer the question using a single word or phrase.

[Assistant] 8200

[User]
a jogger running at 9 km / hr along side a railway track is 240 m ahead of the engine of a 100 m long train running at 45 km / hr in the same direction. in how much time will the train pass the jogger?
Answer the question using a single word or phrase.

[Assistant] 34 sec


[User]
in an election between two candidates a and b, the number of valid votes received by a exceeds those received by b by 15 % of the total number of votes polled. if 20 % of the votes polled were invalid and a total of 8720 votes were polled, then how many valid votes did b get?
Answer the question using a single word or phrase.

[Assistant] 2834

[User]
a, b and c, each working alone can complete a job in 6, 8 and 12 days respectively. if all three of them work together to complete a job and earn $ 2500, what will be c's share of the earnings?
Answer the question using a single word or phrase.

[Assistant] $ 555.6

[User]
23, 29, 31, 37, 41, 43, (... )
Answer the question using a single word or phrase.

[Assistant] 47

[User]
rs. 1500 is divided into two parts such that if one part is invested at 6 % and the other at 5 % the whole annual interest from both the sum is rs. 81. how much was lent at 5 %?
Answer the question using a single word or phrase.

[Assistant] 900

[User]
what will be the difference between simple and compound interest at 16 % per annum on a sum of rs. 1000 after 4 years?
Answer the question using a single word or phrase.

[Assistant] 170.6


[User]
in what time will a train 350 m long cross an electric pole, it its speed be 144 km / hr?
Answer the question using a single word or phrase.

[Assistant] 8.75 sec

[User]
an aeroplane covers a certain distance of 530 kmph in 5 hours. to cover the same distance in 3 2 / 3 hours, it must travel at a speed of
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[Assistant] 722

[User]
there are 4 red books and 4 blue books on a shelf. if 2 books are selected at random from the shelf, what is the probability that both books selected are red books?
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[Assistant] 3 / 14

[User]
on a ranch, a rancher can place a loop of rope, called a lasso, once in every 2 throws around a cow ’ s neck. what is the probability that the rancher will be able to place a lasso around a cow ’ s neck at least once in 4 attempts?
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[Assistant] 15 / 16

[User]
a no. when divided by 222 gives a remainder 43, what remainder will beobtained by dividingthe same no. 17?
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[Assistant] 10


[User]
the ratio of the arithmetic mean of two numbers to one of the numbers is 4 : 7. what is the ratio of the smaller number to the larger number?
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[Assistant] 1 : 7

[User]
when magnified 1,000 times by an electron microscope, the image of a certain circular piece of tissue has a diameter of 5 centimeter. the actual diameter of the tissue, in centimeters, is
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[Assistant] 0.005

[User]
a train 360 m long is running at a speed of 45 km / hr. in what time will it pass a bridge 265 m long?
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[Assistant] 50

[User]
if the sales tax be reduced from 4 ( 1 / 2 ) % to 3 ( 1 / 2 ) %, then what difference does it make to a person who purchases a bag with marked price of rs. 10500?
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[Assistant] rs. 105

[User]
for any positive integer n, the sum of the first n positive integers equals n ( n + 1 ) / 2. what is the sum of all the even integers between 99 and 151?
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[Assistant] 3250


[User]
in an apartment building that has 490 units, 4 out of every 7 units are currently rented, including 1 / 3 of the one - bedroom units. if, of the rented apartments, there is a 6 : 1 ratio of two - bedroom units to one - bedroom units, and the building only consists of two - bedroom and one - bedroom units, how many two - bedroom units are not rented?
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[Assistant] 130

[User]
if six machines working at the same rate can do 3 / 4 of a job in 30 minutes, how many minutes would it take two machines working at the same rate to do 3 / 5 of the job?
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[Assistant] 72

[User]
a fill pipe can fill 1 / 2 of cistern in 30 minutes. in how many minutes, it can fill 1 / 2 of the cistern?
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[Assistant] 30 min

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

[User]
a is 30 % more efficient than b. how much time will they working together take to complete a job which a alone could have done in 23 days?
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[Assistant] 13


[User]
a, b, c and d enter into partnership. a subscribes 1 / 3 of the capital b 1 / 4, c 1 / 5 and d the rest. how much share did a get in a profit of rs. 2445?
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[Assistant] s. 815

[User]
if a person walks at 15 km / hr instead of 10 km / hr, he would have walked 20 km more. the actual distance traveled by him is?
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[Assistant] 60 km

[User]
gwen drove an average speed of 15 miles per hour for the first 40 miles of a tripthen at a average speed of 30 miles / hr for the remaining 40 miles of the trip if she made no stops during the trip what was gwen's avg speed in miles / hr for the entire trip
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[Assistant] 20

[User]
a boat m leaves shore a and at the same time boat b leaves shore b. they move across the river. they met at 500 yards away from a and after that they met 300 yards away from shore b without halting at shores. find the distance between the shore a & b.
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[Assistant] 1200 yards

[User]
78 laboratories raise the bacterium, the laboratory have 48 culture dishes on average, which has about 25,075 bacteria each. how many bacteria are there approximately?
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[Assistant] 10 ^ 8


[User]
the average salary / head of all the workers in a workshop is rs. 1000, if the average salary / head of 10 technician is rs. 1200 and the average salary / head of the rest is rs. 820, the total no. of workers in the work - shop is?
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[Assistant] 190 / 9

[User]
the maximum number of student amoung them 1080 pens and 920 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is :
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[Assistant] 40

[User]
76 ^ 77 / 7 remainder is?
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[Assistant] 6

[User]
30 ^ 10 / 240 ^ 5 =?
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[Assistant] ( 15 / 4 ) ^ 5

[User]
20 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] 380


[User]
working alone, a can complete a certain kind of job in 15 hours. a and d, working together at their respective rates, can complete one of these jobs in 10 hours. in how many hours can d, working alone, complete one of these jobs?
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[Assistant] 30

[User]
a can do a job in 12 days and b can do it in 20 days. a and b working together will finish twice the amount of work in - - - - - - - days?
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[Assistant] 15 days

[User]
fresh grapes contain 80 % by weight while dried grapes contain 20 % water by weight. what is the weight of dry grapes available from 40 kg of fresh grapes?
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[Assistant] 10 kg

[User]
java house charges $ 4.25 for a cup of coffee that costs a total of $ 3.85 to make. cup'o'joe charges $ 4.80 for a cup that costs $ 4.65 to make. if java house sells 55000 cups of coffee, how many must cup'o'joe sell to make at least as much in total gross profit as its competitor does?
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[Assistant] 146,667

[User]
in a neighborhood having 90 households, 11 did not have either a car or a bike. if 14 households had a both a car and a bike and 44 had a car, how many had bike only?
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[Assistant] 35


[User]
if the product of two numbers is 62216 and their h. c. f. is 22, find their l. c. m.
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[Assistant] 2828

[User]
sides of a rectangular park are in the ratio 3 : 2 and its area is 4704 sq m, the cost of fencing it at 50 ps per meter is?
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[Assistant] 140

[User]
in 2008, the profits of company n were 10 percent of revenues. in 2009, the revenues of company n fell by 20 percent, but profits were 12 percent of revenues. the profits in 2009 were what percent of the profits in 2008?
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[Assistant] 96 %

[User]
a train crosses a tunnel of 1200 m in 45 sec, same train crosses another platform of length 180 m in 15 sec. then find the length of the train?
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[Assistant] 330 m

[User]
if 8 men or 12 women can do a piece of work in 40 days, in how many days can the same work be done by 6 men and 11 women?
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[Assistant] 24 days


[User]
if the sides of a triangle are 21 cm, 19 cm and 5 cm, what is its area?
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[Assistant] 47.5 cm 2

[User]
excluding stoppages, the speed of a bus is 90 km / hr and including stoppages, it is 84 km / hr. for how many minutes does the bus stop per hour?
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[Assistant] 4 min

[User]
two persons a and b can complete a piece of work in 18 days and 24 days respectively. if they work together, what part of the work will be completed in 2 days?
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[Assistant] 7 / 36

[User]
present birth rate is 32 per 1000 while death rate is 11 per 1000. what will be the percentage increase in the rate of population?
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[Assistant] 2.1 %

[User]
on selling 11 balls at rs. 720, there is a loss equal to the cost price of 5 balls. the cost price of a ball is :
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[Assistant] s. 120


[User]
a boy is travelling from his home to school at 3 km / hr and reached 7 min late. next day he traveled at 6 km / hr and reached 8 min early. distance between home and school?
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[Assistant] 1.5 km

[User]
a parking garage rents parking spaces for $ 15 per week or $ 30 per month. how much does a person save in a year by renting by the month rather than by the week?
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[Assistant] $ 420

[User]
the price of commodity x increases by 40 cents every year, while the price of commodity y increases by 15 cents every year. in 2001, the price of commodity x was $ 4.20 and the price of commodity y was $ 6.30. in which year will the price of commodity x be 15 cents more than the price of commodity y?
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[Assistant] 2010

[User]
steve traveled the first 2 hours of his journey at 60 mph and the remaining 3 hours of his journey at 80 mph. what is his average speed for the entire journey?
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[Assistant] 72 mph

[User]
a 12 % stock yielding 10 % is quoted at :
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[Assistant] rs. 120


[User]
income and expenditure of a person are in the ratio 5 : 4. if the income of the person is rs. 20000, then find his savings?
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[Assistant] rs. 4000

[User]
one fourth of a solution that was 10 % sugar by weight was replaced by a second solution resulting in a solution that was 17 percent sugar by weight. the second solution was what percent sugar by weight?
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[Assistant] 38 %

[User]
8 x 1.6 - 3 x 1.4 / 1.3 =?
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[Assistant] 21.5

[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 3.5 t seconds, then what is the length of the platform?
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[Assistant] 2.5 l

[User]
a cycle is bought for rs. 840 and sold for rs. 1220, find the gain percent?
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[Assistant] 45 %


[User]
for all numbers a and b, the operationis defined by ab = ( a + 2 ) ( b – 3 ). if 3 x = – 25, then x =
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[Assistant] – 2

[User]
if n is a positive integer and the product of all the integers from 1 to n, inclusive, is a multiple of 170, what is the least possible value of n?
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[Assistant] 17

[User]
in a jar there are balls in different colors : blue, red, green and yellow. the probability of drawing a blue ball is 1 / 8. the probability of drawing a red ball is 2 / 5. the probability of drawing a green ball is 7 / 10. if a jar can not contain more than 50 balls, how many yellow balls are in the jar?
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[Assistant] 7

[User]
a wholesaler wishes to sell 100 pounds of mixed nuts at $ 2.50 a pound. she mixes peanuts worth $ 3.50 a pound with cashews worth $ 4.00 a pound. how many pounds of cashews must she use?
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[Assistant] 60

[User]
there are 6 different travelers who each have a choice of vacationing at one of 10 different destinations. what is the probability that all 6 travelers will end up vacationing at the same destination?
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[Assistant] 1.0 e - 05


[User]
of the 90 people in a room, 2 / 5 are women. if 2 / 3 of the people are married, what is the maximum number of women in the room who could be unmarried?
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[Assistant] 30

[User]
speed of a boat in standing water is 9 kmph and the speed of the stream is 1. 5 kmph. a man rows to a place at a distance of 105 km and comes back to the starting point. the total time taken by him is
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[Assistant] 24 hours

[User]
in a competitive examination in state a, 6 % candidates got selected from the total appeared candidates. state b had an equal number of candidates appeared and 7 % candidates got selected with 83 more candidates got selected than a. what was the number of candidates appeared from each state?
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[Assistant] 8300

[User]
speed of a boat in standing water is 9 kmph and the speed of the stream is 1.5 kmph. a man rows to a place at a distance of 105 km and comes back to the starting point. the total time taken by him is :
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[Assistant] 24 hours

[User]
for any integer k > 1, the term “ length of an integer ” refers to the number of positive prime factors, not necessarily distinct, whose product is equal to k. for example, if k = 24, the length of k is equal to 4, since 24 = 2 × 2 × 2 × 3. if x and y are positive integers such that x > 1, y > 1, and x + 3 y < 902, what is the maximum possible sum of the length of x and the length of y?
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[Assistant] 16


[User]
alice is now 10 years older than bob. if in 6 years alice will be twice as old as bob, how old will alice be in 5 years?
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[Assistant] 19

[User]
in a certain apartment building, there are one - bedroom and two - bedroom apartments. the rental prices of the apartment depend on a number of factors, but on average, two - bedroom apartments have higher rental prices than do one - bedroom apartments. let m be the average rental price for all apartments in the building. if m is $ 2,800 higher than the average rental price for all one - bedroom apartments, and if the average rental price for all two - bedroom apartments is $ 8,400 higher that m, then what percentage of apartments in the building are two - bedroom apartments?
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[Assistant] 25 %

[User]
thabo owns exactly 180 books, and each book is either paperback fiction, paperback nonfiction, or hardcover nonfiction. if he owns 20 more paperback nonfiction books than hardcover nonfiction books, and twice as many paperback fiction books as paperback nonfiction books, how many hardcover books nonfiction books does thabo own?
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[Assistant] 30

[User]
a school has 7 maths 6 physics and 5 chemistry teachers each teacher can teach 3 subjects max what is he minimum number of teachers required
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[Assistant] 6

[User]
a rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. find the area of the path and the cost of constructing it at rs. 10 per sq m?
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[Assistant] 6750


[User]
in a market, a dozen eggs cost as much as a pound of rice, and a half - liter of kerosene costs as much as 8 eggs. if the cost of each pound of rice is $ 0.36, then how many cents does a liter of kerosene cost? [ one dollar has 100 cents. ]
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[Assistant] 48

[User]
at a certain high school, the senior class is twice the size of the junior class. if 3 / 8 of the seniors and 1 / 4 of the juniors study japanese, what fraction of the students in both classes study japanese?
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[Assistant] 1 / 3

[User]
in a school with 604 students, the average age of the boys is 12 years and that of the girls is 11 years. if the average age of the school is 11 years 9 months, then the number of girls in the school is
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[Assistant] 151

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

[User]
a 110 cm long wire is to be cut into two pieces so that one piece will be 2 / 5 th of the other, how many centimeters will the shorter piece be?
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[Assistant] 31


[User]
sachin is younger than rahul by 8 years. if the ratio of their ages is 7 : 9, find the age of sachin
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[Assistant] 28

[User]
how long does a train 110 m long running at the speed of 72 km / hr takes to cross a bridge 132 m length
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[Assistant] 12.1

[User]
a dishonest dealer claims to sell a product at its cost price. he uses a counterfeit weight which is 20 % less than the real weight. further greed overtook him and he added 25 % impurities to the product. find the net profit percentage of the dealer?
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[Assistant] 56.25 %

[User]
i flew my tiny seaplane to visit my mother. on the flight up, i flew at 110 mph. on the way home, i flew 90 mph. what was my average speed for the trip?
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[Assistant] 100 mph

[User]
in 30 years, a will be twice as old as b was 30 years ago. if a is now 5 years older than b, the present age of b is?
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[Assistant] 95 yrs


[User]
a jogger running at 9 kmph along side a railway track is 280 metres ahead of the engine of a 120 metre long train running at 45 kmph in the same direction. in how much time will the train pass the jogger?
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[Assistant] 40 sec

[User]
what is the square root of 0.16
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[Assistant] 0.4

[User]
an escalator moves towards the top level at the rate of 7 ft. sec and its length is 180 feet. if a person walks on the moving escalator at the rate of 2 feet per second towards the top level, how much time does he take to cover the entire length.
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[Assistant] 20 sec

[User]
the radius of a wheel is 22.4 cm. what is the distance covered by the wheel in making 1000 resolutions?
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[Assistant] 1048 m

[User]
a garrison of 2000 men has provisions for 60 days. at the end of 15 days, a reinforcement arrives, and it is now found that the provisions will last only for 20 days more. what is the reinforcement?
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[Assistant] 1500


[User]
when asked what the time is, a person answered that the amount of time left is 1 / 5 of the time already completed. what is the time.
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[Assistant] 8

[User]
a sum of money at simple interest amounts to rs. 1717 in 1 year and to rs. 1734 in 2 years. the sum is :
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[Assistant] rs. 1700

[User]
if remainder is 8, quotient is 43 and dividend is 997 then what is divisor?
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[Assistant] 23

[User]
victor gets 80 % marks in examinations. if these are 240 marks, find the maximum marks.
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[Assistant] 300

[User]
the sides of a rectangular field are in the ratio 3 : 4. if the area of the field is 10800 sq. m, the cost of fencing the field @ 25 paise per metre is
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[Assistant] rs. 105.00


[User]
q and r are two - digit positive integers that have the same digits but in reverse order. if the positive difference between q and r is less than 60, what is the greatest possible value of q minus r?
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[Assistant] 54

[User]
there were 35 students in a hostel. due to the admission of 7 new students the expenses of the mess were increased by rs. 84 per day while the average expenditure per head diminished by re 1. what was the original expenditure of the mess?
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[Assistant] rs. 630

[User]
27 is a perfect cube. when x is added to the prime factor of 27, the result is also a perfect cube. what is x?
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[Assistant] 5

[User]
a 480 m long train is running at a speed of 55 km / hr. it crossed a platform of length 620 m in?
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[Assistant] 72 sec

[User]
if the sum and difference of two numbers are 15 and 10 respectively, then the difference of their square is :
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[Assistant] 150


[User]
a batsman scored 100 runs which included 3 boundaries and 8 sixes. what percent of his total score did he make by running between the wickets?
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[Assistant] 40 %

[User]
a shopkeeper sold an article at $ 100 with 45 % profit. then find its cost price?
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[Assistant] $ 69

[User]
lionel left his house and walked towards walt's house, 48 miles away. two hours later, walt left his house and ran towards lionel's house. if lionel's speed was 3 miles per hour and walt's 4 miles per hour, how many miles had lionel walked when he met walt?
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[Assistant] 24

[User]
the difference between the local value and the face value of 6 in the numeral 85475641 is
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[Assistant] 594

[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 17 %, then the cost price of the article is :
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[Assistant] 526


[User]
28 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. find the smallest part?
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[Assistant] 12.25

[User]
a 35 cm long wire is to be cut into two pieces so that one piece will be 2 / 5 th of the other, how many centimeters will the shorter piece be?
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[Assistant] 10

[User]
car a is 30 miles behind car b, which is traveling in the same direction along the same route as car a. car a is traveling at a constant speed of 58 miles per hour and car bis traveling at a constant speed of 50 miles per hour. how many hours will it take for car a to overtake and drive 8 miles ahead of car b?
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[Assistant] 4.75

[User]
if a car went the first third of the distance at 80 kmh, the second third at 18 kmh, and the last third at 48 kmh, what was the average speed of the car for the entire trip?
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[Assistant] 34 kmh

[User]
in a group of ducks and cows, the total number of legs are 22 more than twice the no. of heads. find the total no. of buffaloes.
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[Assistant] 11


[User]
how long does a train 110 meters long running at the rate of 36 km / hr take to cross a bridge 132 meters in length?
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[Assistant] 24.2 sec

[User]
a certain airline's fleet consisted of 100 type a planes at the beginning of 1980. at the end of each year, starting with 1980, the airline retired 3 of the type a planes and acquired 4 new type b plans. how many years did it take before the number of type a planes left in the airline's fleet was less than 50 percent of the fleet?
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[Assistant] 15

[User]
the price of an article is cut by 10 %. to restore it to the former value, the new price must be increased by
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[Assistant] 11 1 / 9 %

[User]
on dividing 23 by a number, the quotient is 5 and the remainder is 3. find the divisor.
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[Assistant] 4

[User]
( 2 ^ 2 + 4 ^ 2 + 6 ^ 2 +..... + 14 ^ 2 ) =?
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[Assistant] 560


[User]
a group of n students can be divided into equal groups of 4 with 1 student left over or equal groups of 5 with 2 students left over. what is the sum of the two smallest possible values of n?
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[Assistant] 54

[User]
find large number from below question the difference of two numbers is 100. on dividing the larger number by the smaller, we get 9 as quotient and the 4 as remainder
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[Assistant] 112

[User]
if taxi fares were $ 1.00 for the first 1 / 5 mile and $ 0.30 for each 1 / 5 mile there after, then the taxi fare for a 3 - mile ride was
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[Assistant] $ 5.20

[User]
there are two positive numbers in the ratio 5 : 8. if the larger number exceeds the smaller by 18, then find the smaller number?
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[Assistant] 30

[User]
find the area of trapezium whose parallel sides are 18 cm and 12 cm long, and the distance between them is 14 cm?
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[Assistant] 224 cm 2


[User]
how many positive integers less than 10,000 are there in which the sum of the digits equals 5?
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[Assistant] 56

[User]
from january 1, 1991, to january 1, 1993, the number of people enrolled in health maintenance organizations increased by 20 percent. the enrollment on january 1, 1993, was 50 million. how many million people, to the nearest million, were enrolled in health maintenance organizations on january 1, 1991?
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[Assistant] 42

[User]
if the remainder is 7 when positive integer n is divided by 10, what is the remainder when n is divided by 5?
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[Assistant] 2

[User]
on a sum of money, the simple interest for 2 years is rs. 330, 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] 6.06 %

[User]
the average age of 30 students in a class is 10 years. if teacher's age is also included then average increases 1 year then find the teacher's age?
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[Assistant] 41


[User]
an article is bought for rs. 575 and sold for rs. 675, find the gain percent?
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[Assistant] 17.39 %

[User]
a cycle is bought for rs. 900 and sold for rs. 1150, find the gain percent?
Answer the question using a single word or phrase.

[Assistant] 27.77

[User]
an employer pays rs. 20 for each day a worker works and for felts rs. 3 for each day is ideal at the end of sixty days a worker gets rs. 280. for how many days did the worker remain ideal?
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[Assistant] 40

[User]
a train usually travels at a speed of 72 kmph crossing a pole in 7 sec, what would be the length of the train?
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[Assistant] 140 m

[User]
a man received a cheque. the amount in rs. has been transposed for paise and vice versa. after spending rs. 5 and 42 paise, he discovered he now had exactly 6 times the value of the correct cheque amount. what amount he should have received?
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[Assistant] rs 6.44


[User]
if x is an integer and 2.134 × 10 ^ x is less than 210,000, what is the greatest possible value for x?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
in a renowned city, the average birth rate is 4 people every two seconds and the death rate is 3 people every two seconds. estimate the size of the population net increase that occurs in one day.
Answer the question using a single word or phrase.

[Assistant] 43,200

[User]
a certain university will select 2 of 5 candidates eligible to fill a position in the mathematics department and 3 of 8 candidates eligible to fill 2 identical positions in the computer science department. if none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the 3 positions?
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[Assistant] 560

[User]
the unit digit in the product ( 784 x 618 x 917 x 463 ) is
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[Assistant] 2

[User]
a sum of money is to be distributed among a, b, c, d in the proportion of 6 : 2 : 4 : 3. if c gets $ 500 more than d, what is d's share?
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[Assistant] $ 3000


[User]
in an examination, 300 students appeared. out of these students ; 25 % got first division, 54 % got second division and the remaining just passed. assuming that no student failed ; find the number of students who just passed.
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[Assistant] 63

[User]
walking at 4 / 7 of its usual speed, a train is 9 minutes late. find its usual time to cover the journey.
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[Assistant] 12 min.

[User]
a no. when divided by the sum of 555 and 445 gives 2 times their difference as quotient & 25 as remainder. find the no. is?
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[Assistant] 220025

[User]
a, b and c are partners. a receives 2 / 3 of profits, b and c dividing the remainder equally. a's income is increased by rs. 800 when the rate to profit rises from 5 to 7 percent. find the capital of b?
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[Assistant] 10000

[User]
a father said his son, ` ` i was as old as you are at present at the time of your birth. ` ` if the father age is 32 now, the son age 5 years back was
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[Assistant] 11


[User]
a rectangle having length 105 cm and width 40 cm. if the length of the rectangle is increased by 20 5 percent then how much percent the breadth should be decreased so as to maintain the same area.
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[Assistant] 19.23 %

[User]
if n divided by 7 has a remainder of 2, what is the remainder when 6 times n is divided by 7?
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[Assistant] 5

[User]
if 40 % of the 880 students at a certain college are enrolled in biology classes, how many students at the college are not enrolled in a biology class?
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[Assistant] 528

[User]
the smallest number which when diminished by 3, is divisible by 12, 16, 18, 21 and 28 is
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[Assistant] 1011

[User]
the average age of students of a class is 15.8 years. the average age of boys in the class is 16.4 years and that of the girls is 15.2 years, the ratio of the number of boys to the number of girls in the class is
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[Assistant] 1 : 1


[User]
3 candidates in an election and received 1000, 2000 and 4000 votes respectively. what % of the total votes did the winning candidate got in that election?
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[Assistant] 57.14 %

[User]
two numbers are less than third number by 20 % and 37 % respectively. how much percent is the second number less than by the first
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[Assistant] 5 %

[User]
a person buys an article at rs. 500. at what price should he sell the article so as to make a profit of 45 %?
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[Assistant] 725

[User]
the ratio of the amount of the oil bill for the month of february to the amount of the oil bill for the month of january was 3 : 2. if the oil bill for february had been $ 20 more, the corresponding ratio would have been 5 : 3. how much was the oil bill for january?
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[Assistant] $ 120

[User]
salesperson a's compensation for any week is $ 240 plus 6 percent of the portion of a's total sales above $ 1,000 for that week. salesperson b's compensation for any week is 8 percent of b's total sales for that week. for what amount of total weekly sales would both salespeople earn the same compensation?
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[Assistant] $ 9000


[User]
how long does a train 130 m long running at the speed of 80 km / hr takes to cross a bridge 140 m length?
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[Assistant] 12.3 sec

[User]
ramesh, xyz and rajeev put a partnership. profit is 36000, if ramesh and xyz ratio is 5 : 4 and xyz and rajeev 8 : 9. find rajeev's share.
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[Assistant] 12000

[User]
a trader cheats both his supplier and customer by using faulty weights. when he buys from the supplier, he takes 10 % more than the indicated weight. when he sells to his customer, he gives the customer a weight such that 30 % of that is added to the weight, the weight claimed by the trader is obtained. if he charges the cost price of the weight that he claims, find his profit percentage.
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[Assistant] 43 %

[User]
in measuring the sides of a rectangle, one side is taken 14 % in excess and other 5 % in deficit. find the error percentage in the area calculated from these measurements.
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[Assistant] 8.3 %

[User]
in an office, totally there are 5200 employees and 45 % of the total employees are males. 50 % of the males in the office are at - least 50 years old. find the number of males aged below 50 years?
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[Assistant] 1170


[User]
a lady builds 12 cm length, 16 cm width, and 6 cm height box using 3 cubic cm cubes. what is the minimum number of cubes required to build the box?
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[Assistant] 384

[User]
oil cans x and y are right circular cylinders and the height and radius of y are each 10 times those of x. if the oil in can x filled to capacity sells for $ 1, how much does the oil in y sell for if y is only half filled?
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[Assistant] $ 500

[User]
the perimeter of a semi circle is 121 cm then the radius is?
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[Assistant] 24

[User]
if x + ( 1 / x ) = 5, what is the value q of x ^ 2 + ( 1 / x ) ^ 2?
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[Assistant] q = 23

[User]
if 2 ^ 4, 3 ^ 3, and 13 ^ 3 are factors of the product of 1452 and w, where w is a positive integer, what is the smallest possible value of w?
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[Assistant] 468


[User]
a man is walking at a speed of 10 km per hour. after every kilometre, he takes rest for 7 minutes. how much time will be take to cover a distance of 7 kilometres?
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[Assistant] 84 min.

[User]
find the probability that a number selected from numbers 1, 2, 3,..., 20 is a prime number, when each of the given numbers is equally likely to be selected?
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[Assistant] 8 / 20

[User]
in a certain egg - processing plant, every egg must be inspected, and is either accepted for processing or rejected. for every 96 eggs accepted for processing, 4 eggs are rejected. if, on a particular day, 12 additional eggs were accepted, but the overall number of eggs inspected remained the same, the ratio of those accepted to those rejected would be 99 to 1. how many w eggs does the plant process per day?
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[Assistant] 400

[User]
if two painters can complete two rooms in two hours, how many rooms painted if 10 painters work for 6 hours?
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[Assistant] 30

[User]
what is the probability of getting exactly 2 heads in a single throw of five fair coins?
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[Assistant] 5 / 16


[User]
at the end of the first quarter, the share price of a certain mutual fund was 25 percent higher than it was at the beginning of the year. at the end of the second quarter, the share price was 55 percent higher than it was at the beginning of the year. what was the percent increase in the share price from the end of the first quarter to the end of the second quarter?
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[Assistant] 24 %

[User]
a marketing firm determined that, of 200 households surveyed, 80 used neither brand e nor brand b soap, 60 used only brand e soap, and for every household that used both brands of soap, 3 used only brand b soap. how many of the 200 households surveyed used both brands of soap?
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[Assistant] 40

[User]
two employees x and y are paid a total of rs. 570 per week by their employer. if x is paid 120 percent of the sum paid to y, how much is y paid per week?
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[Assistant] s. 259

[User]
a train 390 metres long is moving at a speed of 25 kmph. it will cross a man coming from the opposite direction at a speed of 2 km per hour in :
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[Assistant] 52 sec

[User]
if 90 % of a = 30 % of b and b = x % of a, then the value of x is?
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[Assistant] 300


[User]
data sufficiency question : if solution ( x ) with alcohol ( 14 % ) and solution ( y ) with alcohol ( 20 % ) mixed together to form 24 liters of mixture.
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[Assistant] 1

[User]
the average of 6 number is 3.95. the average of two of them is 3.8, while the average of the other two is 3.85. what is the average of the remaining two number?
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[Assistant] 4.2

[User]
a basketball team composed of 12 players scored 100 points in a particular contest. if none of the individual players scored fewer than 7 points, what is the greatest number of points q that an individual player might have scored?
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[Assistant] 23

[User]
jill has 7 gallons of water stored in quart, half - gallon, and one gallon jars. she has equal numbers of each size jar holding the liquid. what is the total number of water filled jars?
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[Assistant] 12

[User]
the sum of ages of 5 children born 2 years different each is 50 yrs. what is the age of the elder child?
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[Assistant] 14