[User]
a man is 26 years older than his son. in two years, his age will be twice the age of his son. the present age of this son is
Answer the question using a single word or phrase.

[Assistant] 24 years

[User]
the parameter of a square is equal to the perimeter of a rectangle of length 40 cm and breadth 20 cm. find the circumference of a semicircle whose diameter is equal to the side of the square. ( round off your answer to two decimal places )?
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[Assistant] 47.14

[User]
two trains 200 m and 300 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks. the time which they take to cross each other is?
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[Assistant] 18

[User]
the manager at a health foods store mixes a unique superfruit juice cocktail that costs $ 1399.45 per litre to make. the cocktail includes mixed fruit juice and a ç ai berry juice, which cost $ 262.85 per litre and $ 3104.35 per litre, respectively. the manager has already opened 35 litres of the mixed fruit juice. how many litres of the a ç ai berry juice does he need to add?
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[Assistant] 23.3 litres

[User]
when n is divided by 15, the remainder is 8. what is the remainder when 5 n is divided by 6?
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[Assistant] 4


[User]
a number x is 18 times another number y. the percentage that y is less than x is
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[Assistant] 94.4 %

[User]
a dozen eggs and 5 pounds of oranges are currently at the same price. if the price of a dozen eggs rises by 3 percent and the price of oranges rises by 6 %. how much more will it cost to buy a dozen eggs and 10 pounds of oranges.
Answer the question using a single word or phrase.

[Assistant] 9 %

[User]
a number is said to be prime saturated if the product of all the different positive prime factors of a is less than the square root of a. what is the greatest two digit prime saturated integer?
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[Assistant] 96

[User]
the area of a circular field is 13.86 hectares. find the cost of fencing it at the rate of rs. 4.60 per metre.
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[Assistant] 6072

[User]
3 years ago the average age of a class of 6 members was 19 years. a boy have been added, the average age of the class is the same today. what is the age of the boy?
Answer the question using a single word or phrase.

[Assistant] 1


[User]
find the number of shares that can be bought for rs. 8200 if the market value is rs. 28 each with brokerage being 2.5 %.
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[Assistant] 285.7

[User]
if ( x + 3 ) ^ 2 / ( 3 x + 29 ) = 2, then the difference between the two possible values of x is :
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[Assistant] 14

[User]
a train 710 m long is running at a speed of 78 km / hr. if it crosses a tunnel in 1 min, then the length of the tunnel is?
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[Assistant] 590

[User]
in a certain corporation, there are 300 male employees and 100 female employees. it is known that 20 % of the male employees have advanced degrees and 40 % of the females have advanced degrees. if one of the 400 employees is chosen at random, what is the probability this employee has an advanced degree or is female?
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[Assistant] 2 / 5

[User]
the price of 24 apples is equal to that of 28 oranges. the price of 45 apples and 60 oranges together is rs. 1350. the total price of 30 apples and 40 oranges is
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[Assistant] 900


[User]
rhoda tosses a coin 5 times. find the probability of getting exactly 4 heads.
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[Assistant] 5 / 32

[User]
if two of the 4 expressions x + y, x + 5 y, x - y, and 5 x - y are chosen at random, what is the probability r that their product will be of the form of x ^ 2 - ( by ) ^ 2, where b is an integer?
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[Assistant] r = 1 / 6

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

[User]
the amount of principal rs. 8000 at compound interest at the ratio of 5 % p. a. for 3 years is
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[Assistant] rs. 9261

[User]
the ratio of the capacity to do work of a and b is 3 : 2. if they together can complete a work in 18 days, then how long does a take to complete the work alone?
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[Assistant] 45


[User]
the cost price of a radio is rs. 2400 and it was sold for rs. 1980, find the loss %?
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[Assistant] 17 %

[User]
a couple spent $ 132 in total while dining out and paid this amount using a credit card. the $ 132 figure included a 20 percent tip which was paid on top of the price which already included a sales tax of 10 percent on top of the price of the food. what was the actual price of the food before tax and tip?
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[Assistant] $ 100

[User]
the average salary of all the workers in a workshop is rs. 8000. the average salary of 7 technicians is rs. 14000 and the average salary of the rest is rs. 6000. the total number of workers in the workshop is :
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[Assistant] 28

[User]
a rectangular photograph is surrounded by a border that is 1 inch wide on each side. the total area of the photograph and the border is m square inches. if the border had been 3 inches wide on each side, the total area would have been ( m + 52 ) square inches. what is the perimeter of the photograph, in inches?
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[Assistant] 10

[User]
uncle bruce is baking chocolate chip cookies. he has 50 ounces of dough ( with no chocolate ) and 40 ounces of chocolate. how much chocolate is left over if he uses all the dough but only wants the cookies to consist of 30 % chocolate?
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[Assistant] 22.86


[User]
in arun's opinion, his weight is greater than 61 kg but leas than 72 kg. his brother does not agree with arun and he thinks that arun's weight is greater than 60 kg but less than 70 kg. his mother's view is that his weight can not be greater than 64 kg. if all of them are correct in their estimation, what is the average of diferent probable weights of arun?
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[Assistant] 62.5 kg

[User]
a and b together have $ 1210. if of a's amount is equal to of b's amount, how much amount does b have?
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[Assistant] $ 484

[User]
what profit percent is made by selling an article at a certain price, if by selling at 2 / 3 rd of that price, there would be a loss of 20 %?
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[Assistant] 20 %

[User]
what is the minimum value of | x - 4 | + | x + 6 | + | x - 5 |?
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[Assistant] 11

[User]
how many five - digit numbers that do not contain the digits 4 or 7 are there?
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[Assistant] 28642


[User]
the larger interior angle of a parallelogram is 90 ° more than its smaller interior angle. what is the measure of the smaller interior angle of the parallelogram?
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[Assistant] 45 °

[User]
a train is 400 meter long is running at a speed of 60 km / hour. in what time will it pass a bridge of 800 meter length?
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[Assistant] 72 seconds

[User]
a man saves 20 % of his monthly salary. if an account of dearness of things he is to increase his monthly expenses by 20 %, he is only able to save rs. 200 per month. what is his monthly salary?
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[Assistant] rs. 5000

[User]
the average height of 20 students is 20 cm and the average height of 11 students is 20 cm. what is the average height of the 31 students?
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[Assistant] 20 cm

[User]
a certain ball team has an equal number of right - and left - handed players. on a certain day, two - thirds of the players were absent from practice. of the players at practice that day, two - third were left handed. what is the ratio of the number of right - handed players who were not at practice that day to the number of lefthanded players who were not at practice?
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[Assistant] 7 / 5


[User]
excluding the stoppages, the speed of a bus is 64 km / hr and including the stoppages the speed o the bus is 48 km / hr. for how many minutes does the bus stop per hour?
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[Assistant] 15

[User]
what amount does an investor receive if the investor invests $ 3000 at 10 % p. a. compound interest for two years, compounding done annually?
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[Assistant] $ 3630

[User]
a fruit seller sells mangoes at the rate of rs. 12 per kg and thereby loses 15 %. at what price per kg, he should have sold them to make a profit of 5 %
Answer the question using a single word or phrase.

[Assistant] rs 14.82

[User]
a sells a bicycle to b and makes a profit of 35 %. b sells the same bicycle to c at a profit of 45 %. if the final s. p. of the bicycle was rs. 225, find out the cost price of the bicycle for a.
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[Assistant] 115

[User]
how many zeros does 10! end with?
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[Assistant] 2


[User]
find the value of y from ( 12 ) ^ 2 x 6 ^ 4 ÷ 432 = y?
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[Assistant] 432

[User]
find the simple interest on rs. 5000 at 6 % per annum for the period from 5 th feb to 19 th april, 2015.
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[Assistant] rs. 60

[User]
a train passes a station platform in 36 sec and a man standing on the platform in 20 sec. if the speed of the train is 36 km / hr. what is the length of the platform?
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[Assistant] 160

[User]
car a runs at the speed of 42 km / hr & reaches its destination in 6 hr. car b runs at the speed of 52 km / h & reaches its destination in 9 h. what is the respective ratio of distances covered by car a & car b?
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[Assistant] 7 : 13

[User]
the speed of a car is 90 km in the first hour and 55 km in the second hour. what is the average speed of the car?
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[Assistant] 72.5 kmph


[User]
by selling 15 pencils for a rupee a man loses 25 %. how many for a rupee should he sell in order to gain 25 %?
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[Assistant] 9

[User]
find the remainder of the division ( 3 ^ 14 ) / 4.
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[Assistant] 1

[User]
a certain machine produces 850 units of product p per hour. working continuously at this constant rate, this machine will produce how many units of product p in 7 days?
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[Assistant] 142,800

[User]
the area of a circular field is 17.56 hectares. find the cost of fencing it at the rate of rs. 5 per metre approximately
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[Assistant] 7429

[User]
a contractor undertakes to built a walls in 50 days. he employs 70 peoples for the same. however after 25 days he finds that only 40 % of the work is complete. how many more man need to be employed to complete the work in time?
Answer the question using a single word or phrase.

[Assistant] 105


[User]
a number is said to be prime saturated if the product of all the different positive prime factors of n is less than the square root of n. what is the greatest two digit prime saturated integer?
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[Assistant] 96 answer

[User]
in how many no. between 10 and 40 exactly two of the digits is 4?
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[Assistant] 1

[User]
10 people went to a hotel for combine dinner party 8 of them spent rs. 10 each on their dinner and rest spent 4 more than the average expenditure of all the 10. what was the total money spent by them.
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[Assistant] 110

[User]
a carpenter worked alone for 1 day on a job that would take him 6 more days to finish. he and another carpenter completed the job in 5 more days. how many days would it have taken the second carpenter to do the complete job working alone?
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[Assistant] 17.5

[User]
how many odd prime numbers are there less than 75?
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[Assistant] 20


[User]
a is twice as good a workman as b and they took 7 days together to do the work b alone can do it in.
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[Assistant] 21 days

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

[User]
if the cost price of 65 chocolates is equal to the selling price of 50 chocolates, the gain percent is :
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[Assistant] 30 %

[User]
a train, 155 meters long travels at a speed of 45 km / hr crosses a bridge in 30 seconds. the length of the bridge is
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[Assistant] 220 m

[User]
sachin is younger than rahul by 7 years. if the ratio of their ages is 7 : 9, find the age of sachin
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[Assistant] 24.5


[User]
the present population of a town is 500. population increase rate is 10 % p. a. find the population of town before 2 years?
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[Assistant] 413

[User]
a perfect square is defined as the square of an integer and a perfect cube is defined as the cube of an integer. how many positive integers n are there such that n is less than 5,000 and at the same time n is a perfect square and a perfect cube?
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[Assistant] 4

[User]
the price of commodity x increases by 30 cents every year, while the price of commodity y increases by 20 cents every year. if in 2001, the price of commodity x was $ 4.20 and the price of commodity y was $ 4.40, in which year will commodity x cost 90 cents more than the commodity y?
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[Assistant] 2012

[User]
shawn invested one half of his savings in a bond that paid simple interest for 2 years and received $ 650 as interest. he invested the remaining in a bond that paid compound interest, interest being compounded annually, for the same 2 years at the same rate of interest and received $ 725 as interest. what was the value of his total savings before investing in these two bonds?
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[Assistant] 3,250

[User]
at joel ’ s bookstore, the current inventory is 40 % historical fiction. of the historical fiction books, 40 % are new releases, while 70 % of the other books are new releases. what fraction of all new releases are the historical fiction new releases?
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[Assistant] 8 / 29


[User]
10 years ago, the age of anand was one - third the age of bala at that time. the present age of bala is 10 years more than the present age of anand. find the present age of anand?
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[Assistant] 15

[User]
the average of 10 numbers is 40.2. later it is found that two numbers have been wrongly copied. the first is 17 greater than the actual number and the second number added is 13 instead of 31. find the correct average.
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[Assistant] 40.3

[User]
nails and screws are manufactured at a uniform weight per nail and a uniform weight per screw. if the total weight of one screw and one nail is half that of 6 screws and one nail, then the total weight of 3 screws, and 3 nails is how many times that of 4 screws and 2 nails?
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[Assistant] 5 / 4

[User]
the length of a room is 5.5 m and width is 3.75 m. find the cost of paving the floor by slabs at the rate of rs. 1200 per sq. metre.
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[Assistant] rs. 24750

[User]
15 men take 21 days of 8 hrs. each to do a piece of work. how many days of 6 hrs. each would it take for 21 women if 3 women do as much work as 2 men?
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[Assistant] 30


[User]
4 brothers adam, bill, charles and david together contributed certain amount of money and purchased a car. the contribution made by adam is half that of the total contribution made by the other 3 brothers, contribution made by bill is one - fourth of the total contribution made by the other 3 brothers and the contribution made by charles is two - third of the total contribution made by the other 3 brothers. if the total price of the car is $ 9750, find the contribution made by david.
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[Assistant] $ 650

[User]
share rs. 6000 among john, jose & binoy in the ration 2 : 4 : 6. find the amount received by john?
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[Assistant] 2000

[User]
a worker makes a toy in every 2 h. if he works for 120 h, then how many toys will he make?
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[Assistant] 60

[User]
find the sum of all odd numbers up to 100.
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[Assistant] 2500

[User]
there are, in a certain league, 20 teams, and each team face another team for a total of 4 times. how many games are played in the season?
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[Assistant] 760


[User]
if p ( a ) = 2 / 15, p ( b ) = 4 / 15, and p ( a â ˆ ª b ) = 12 / 15 find p ( b | a )
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[Assistant] 6

[User]
a man buys rs. 20 shares paying 9 % dividend. the man wants to have an interest of 12 % on his money. the market value of each share is :
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[Assistant] 15

[User]
a car travels first 160 km at 75 km / hr and the next 160 km at 90 km / hr. what is the average speed for the first 320 km of the tour?
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[Assistant] 81.81

[User]
a, b and c have rs. 500 between them, a and c together have rs. 200 and b and c rs. 360. how much does c have?
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[Assistant] 60

[User]
if each participant of a chess tournament plays exactly one game with each of the remaining participants, then 190 games will be played during the tournament. what is the number of participants?
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[Assistant] 20


[User]
a certain number of men can finish a piece of work in 10 days. however, if there were 10 less men it will take 10 days more for the work to be finished. how many men were there originally?
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[Assistant] 20 men

[User]
find the average of all numbers between 4 and 34 which are divisible by 5
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[Assistant] 21

[User]
the bankers discount of a certain sum of money is rs. 72 and the true discount on the same sum for the same time is rs. 60. the sum due is :
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[Assistant] rs. 360

[User]
the length of a room is 5.5 m and width is 3.75 m. find the cost of paying the floor by slabs at the rate of rs. 1000 per sq. metre.
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[Assistant] rs. 20,625

[User]
find the value of x in [ ( 17.28 / x ) / ( 3.6 * 0.2 ) ] = 2
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[Assistant] 12


[User]
set a contains all the even numbers between 22 and 70 inclusive. set b contains all the even numbers between 62 and 110 inclusive. what is the difference between the sum of elements of set b and the sum of the elements of set a?
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[Assistant] 1000

[User]
a person travels from p to q a speed of 40 km / hr and returns by increasing his speed by 50 %. what is his average speed for both the trips?
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[Assistant] 48

[User]
the average of 5 numbers is 6.8. if one of the numbers is multiplied by a factor of 2, the average of the numbers increases to 9.2. what number is multiplied by 2?
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[Assistant] 12.0

[User]
the sale price sarees listed for rs. 345 after successive discount is 12 % and 25 % is?
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[Assistant] 228

[User]
in a group of 89 students, 36 are taking history, and 32 are taking statistics. if 59 students are taking history or statistics or both, then how many students are taking history but not statistics?
Answer the question using a single word or phrase.

[Assistant] 27


[User]
the workforce of company x is 60 % female. the company hired 22 additional male workers, and as a result, the percent of female workers dropped to 55 %. how many employees did the company have after hiring the additional male workers?
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[Assistant] 264

[User]
a fruit seller sells mangoes at the rate of rs. 8 per kg and thereby loses 20 %. at what price per kg, he should have sold them to make a profit of 5 %
Answer the question using a single word or phrase.

[Assistant] rs 10.5

[User]
two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 21 seconds. the ratio of their speeds is?
Answer the question using a single word or phrase.

[Assistant] 2 / 3

[User]
if n = 9 ^ 11 – 9, what is the units digit of n?
Answer the question using a single word or phrase.

[Assistant] 0

[User]
two trains each 210 m in length each, are running on two parallel lines in opposite directions. if one goes at the speed of 90 km / h while the other travels at 85 km / h. how long will it take for them to pass each other completely.
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[Assistant] 8.6 sec


[User]
b completes a work in 8 days. a alone can do it in 10 days. if both work together, the work can be completed in how many days?
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[Assistant] 4.44 days

[User]
a sum fetched a total simple interest of rs. 1000 at the rate of 10 p. c. p. a. in 4 years. what is the sum?
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[Assistant] 2500

[User]
p and q are the only two applicants qualified for a short - term research project that pays 360 dollars in total. candidate p has more experience and, if hired, would be paid 50 percent more per hour than candidate q would be paid. candidate q, if hired, would require 10 hours more than candidate p to do the job. candidate p ’ s hourly wage is how many dollars greater than candidate q ’ s hourly wage?
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[Assistant] $ 6

[User]
find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 17 cm
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[Assistant] 323 cm 2

[User]
a cylinder of height h is 7 / 8 of water. when all of the water is poured into an empty cylinder whose radius is 25 percent larger than that of the original cylinder, the new cylinder is 3 / 5 full. the height of the new cylinder is what percent of h?
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[Assistant] 69 %


[User]
linda spent 3 / 4 of her savings on furniture and the rest on a tv. if the tv cost her $ 250, what were her original savings?
Answer the question using a single word or phrase.

[Assistant] $ 1000

[User]
a particular store purchased a stock of turtleneck sweaters and marked up its cost by 20 %. during the new year season, it further marked up its prices by 25 % of the original retail price. in february, the store then offered a discount of 7 %. what was its profit on the items sold in february?
Answer the question using a single word or phrase.

[Assistant] 39.5 %

[User]
bill made a profit of 10 % by selling a product. if he had purchased that product for 10 % less and sold it at a profit of 30 %, he would have received $ 56 more. what was his original selling price?
Answer the question using a single word or phrase.

[Assistant] $ 880

[User]
a train speeds past a pole in 10 seconds and a platform 100 m long in 30 seconds. its length is?
Answer the question using a single word or phrase.

[Assistant] 50 m

[User]
suraj has a certain average of runs for 16 innings. in the 17 th innings he scores 112 runs thereby increasing his average by 6 runs. what is his average after the 17 th innings?
Answer the question using a single word or phrase.

[Assistant] 16


[User]
a man can row downstream at the rate of 16 km / hr and upstream at 8 km / hr. find man's rate in still water and the rate of current?
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[Assistant] 12,4

[User]
the average of squares of first 11 consecutive even numbers is :
Answer the question using a single word or phrase.

[Assistant] 184

[User]
the length of a rectangular plot is 10 mtr more than its width. the cost of fencing the plot along its perimeter at the rate of rs. 6.5 mtr is rs. 1430. the perimeter of the plot is?
Answer the question using a single word or phrase.

[Assistant] 220

[User]
rahul played weel in this season. his current batting averagge is 51. if he score 69 runs in today match. his batting average will become 54. how many matches had he played in this season.
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[Assistant] 5

[User]
1852 - 1230 ÷ 10.00 =?
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[Assistant] 1729


[User]
last year a certain bond price with a face value of 5000 yielded 8 % of its face value in interest. if that interest was approx 6.5 of the bond's selling price approx what was the bond's selling price?
Answer the question using a single word or phrase.

[Assistant] 6154

[User]
mixture contains alcohol and water in the ratio 4 : 3. if 8 liters of water is added to the mixture, the ratio becomes 4 : 5. find the quantity of alcohol in the given mixture.
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[Assistant] 4

[User]
mary's income is 60 % more than tim's income and tim's income is 50 % less than juan's income. what % of juan's income is mary's income.
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[Assistant] 80 %

[User]
laxmi and prasanna set on a journey. laxmi moves northwards at a speed of 40 kmph and prasanna moves southward at a speed of 38 kmph. how far will be prasanna from laxmi after 60 minutes?
Answer the question using a single word or phrase.

[Assistant] 78

[User]
a grocer has 400 pounds of coffee in stock, 20 percent of which is decaffeinated. if the grocer buys another 100 pounds of coffee of which 70 percent is decaffeinated, what percent, by weight, of the grocer ’ s stock of coffee is decaffeinated?
Answer the question using a single word or phrase.

[Assistant] 30 %


[User]
the value of ( 34.31 * 0.5 * 1.567 ) / ( 0.0673 * 23.25 * 7.57 ) is close to
Answer the question using a single word or phrase.

[Assistant] 2.27

[User]
the average age of 15 students of a class is 15 years. out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years. the age of the 15 th student is
Answer the question using a single word or phrase.

[Assistant] 11 years

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

[Assistant] 14400

[User]
what is the decimal equivalent of ( 1 / 4 ) ^ 3?
Answer the question using a single word or phrase.

[Assistant] 0.0156

[User]
a student took 6 courses last year and received an average ( arithmetic mean ) grade of 100 points. the year before, the student took 5 courses and received an average grade of 40 points. to the nearest tenth of a point, what was the student ’ s average grade for the entire two - year period?
Answer the question using a single word or phrase.

[Assistant] 72.72


[User]
at what price must an article costing rs. 66.5 be marked in order that after deducting 5 % from the list price. it may be sold at a profit of 25 % on the cost price?
Answer the question using a single word or phrase.

[Assistant] 87.5

[User]
three 6 faced dice are thrown together. the probability that all the three show the same number on them is -.
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[Assistant] 1 / 36

[User]
the smallest number which when diminished by 7, is divisible 12, 16, 18, 21 and 28 is :
Answer the question using a single word or phrase.

[Assistant] 1015

[User]
the average of first 15 even numbers is?
Answer the question using a single word or phrase.

[Assistant] 16

[User]
in 100 litres mixture milk and water are in the ratio 3 : 2. after adding how many liters of water its ratio will become 3 : 4
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[Assistant] 48


[User]
a sum fetched a total simple interest of 4034.25 at the rate of 9 %. p. a. in 5 years. what is the sum?
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[Assistant] 8965

[User]
rani bought more apples than oranges. she sells apples at ₹ 23 apiece and makes 15 % profit. she sells oranges at ₹ 10 apiece and makes 25 % profit. if she gets ₹ 653 after selling all the apples and oranges, find her profit percentage w.
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[Assistant] 17.4 %

[User]
cereal a is 9 % sugar by weight, whereas healthier but less delicious cereal b is 2 % sugar by weight. to make a delicious and healthy mixture that is 4 % sugar, what should be the ratio of cereal a to cereal b, by weight?
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[Assistant] 2 : 5

[User]
how long does a train 180 meters long running at the rate of 54 kmph take to cross a bridge 660 meters in length?
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[Assistant] 56

[User]
a profit of rs. 500 is divided between x and y in the ratio of 1 / 2 : 1 / 3. what is the difference between their profit shares?
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[Assistant] rs. 100


[User]
a man buys rs. 56 shares paying 9 % dividend. the man wants to have an interest of 12 % on his money. the market value of each share is :
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[Assistant] s. 42

[User]
of 440 surveyed students, 20 % of those who read book a also read book b and 25 % of those who read book b also read book a. if each student read at least one of the books, what is the difference between the number of students who read only book a and the number of students who read only book b?
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[Assistant] 55

[User]
on a certain road, 10 % of the motorists exceed the posted speed limit and receive speeding tickets, but 30 % of the motorists who exceed the posted speed limit do not receive speeding tickets. what percent of the motorists on that road exceed the posted speed limit?
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[Assistant] 14.3 %

[User]
ajay can ride 50 km in 1 hour. in how many hours he can ride 750 km?
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[Assistant] 15 hrs

[User]
a number of 47 marbles is to be divided and contain with boxes. if each box is to contain 3, 4, or 5 marbles, what is the largest possible number of boxes?
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[Assistant] 15


[User]
12 is subtracted from 95 % of a number, the result is 178. find the number?
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[Assistant] 200

[User]
a man invests rs. 8000 at the rate of 5 % per annum. how much more should he invest at the rate of 8 %, so that he can earn a total of 6 % per annum?
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[Assistant] rs. 4000

[User]
the cost per unit of electricity during a 4 year period is as follows : year 1, $ 3 per unit ; year 2, $ 4 per unit ; year 3, $ 5 per unit ; year 4, $ 6 per unit. if a factory spent equal dollars on electricity each year, what was the average cost of a unit of electricity during the 4 year period?
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[Assistant] $ 4.21

[User]
in what time will a train 45 m long cross an electric pole, it its speed be 108 km / hr?
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[Assistant] 1.5

[User]
in township k, 1 / 5 of the housing units are equiped with cable tv. if 1 / 10 of the housing units, including 1 / 4 of those that are equiped with cable tv, are equipped with videocassette recorders, what fraction of the housing units have neither cable tv nor videocassette recorders?
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[Assistant] 3 / 4


[User]
two trains of equal are running on parallel lines in the same direction at 46 km / hr and 36 km / hr. the faster train passes the slower train in 45 sec. the length of each train is?
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[Assistant] 62.5

[User]
a batsman makes a score of 87 runs in the 17 th inning and thus increases his averages by 3. find his average after 17 th inning?
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[Assistant] 39

[User]
in what time will a train 100 meters long cross an electric pole, if its speed is 360 km / hr
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[Assistant] 1 second

[User]
a 340 - liter solution of kola is made from 64 % water, 9 % concentrated kola and the rest is made from sugar. if 3.2 liters of sugar, 8 liter of water and 6.8 liters of concentrated kola were added to the solution, what percent of the solution is made from sugar?
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[Assistant] 26.5 %.

[User]
if ( 5 ^ 11 ) ( 9 ^ 6 ) = 3 ( 15 ^ x ), what is the value of x?
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[Assistant] 11


[User]
find the total number of prime factors in the expression ( 4 ) ^ 11 x ( 7 ) ^ 5 x ( 11 ) ^ 5
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[Assistant] 32

[User]
a rectangular photograph is surrounded by a border that is 1 inch wide on each side. the total area of the photograph and the border is m square inches. if the border had been 5 inches wide on each side, the total area would have been ( m + 180 ) square inches. what is the perimeter of the photograph, in inches?
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[Assistant] 21

[User]
a student took 6 courses last year and received an average ( arithmetic mean ) grade of 100 points. the year before, the student took 5 courses and received an average grade of 50 points. to the nearest tenth of a point, what was the student ’ s average grade for the entire two - year period?
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[Assistant] 77.27

[User]
jim ’ s taxi service charges an initial fee of $ 2.35 at the beginning of a trip and an additional charge of $ 0.35 for each 2 / 5 of a mile traveled. what is the total charge for a trip of 3.6 miles?
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[Assistant] $ 5.5

[User]
a miniature roulette wheel is divided into 9 equal sectors, each bearing a distinct integer from 1 to 9, inclusive. each time the wheel is spun, a ball randomly determines the winning sector by settling in that sector. if the wheel is spun three times, approximately what is the probability that the product of the three winning sectors ’ integers will be even?
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[Assistant] 83 %


[User]
local kennel has cats and dogs in the ratio of 2 : 3. if there are 6 fewer cats than dogs, how many dogs are in the kennel?
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[Assistant] 18

[User]
in the coordinate plane a slope of the line k is 3 / 2 times the y - intercept of the line k. what is the x - intercept of the line k?
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[Assistant] 2 / 3

[User]
10 camels cost as much as 24 horses, 16 horses cost as much as 4 oxen and 6 oxen as much as 4 elephants. if the cost of 10 elephants is rs. 140000, find the cost of a camel?
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[Assistant] s. 5600

[User]
a watch was sold at a loss of 10 %. if it was sold for rs. 140 more, there would have been a gain of 5 %. what is the cost price?
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[Assistant] s. 933.33

[User]
how many positive integers less than 15 can be expressed as the sum of a positive multiple of 2 and a positive multiple of 3?
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[Assistant] 8


[User]
the sum of all consecutive odd integers from − 31 to 41, inclusive, is
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[Assistant] 185

[User]
find the compound ratio of ( 2 : 5 ), ( 6 : 11 ) and ( 11 : 2 ) is
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[Assistant] 6 : 5

[User]
if a man lost 4 % by selling oranges at the rate of 24 a rupee at how many a rupee must he sell them to gain 44 %?
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[Assistant] 16

[User]
the ratio of the number of females to males at a party was 1 : 2 but when 6 females and 6 males left, the ratio became 1 : 3. how many people were at the party originally?
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[Assistant] 36

[User]
one robot builds a robot in 1 hour, another one builds a robot in 2 hours. the 2 robots work together and when a new robot is complete, it joins the others, working at a constant rate of one robot in 2 hours. how much time will it take until there are 6 robots altogether, if the robots build only one robot at a time?
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[Assistant] 114 min


[User]
john had a stock of 1200 books in his bookshop. he sold 75 on monday, 50 on tuesday, 64 on wednesday, 78 on thursday and 135 on friday. what percentage of the books were not sold?
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[Assistant] 66.5 %

[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 16?
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[Assistant] 3

[User]
find the average of all numbers between 2 and 63 which are divisible by 5
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[Assistant] 32.5

[User]
a mixture contains alcohol and water in the ratio 4 : 3. if 7 litres of water is added to the mixture, the ratio becomes 4 : 5. find the quantity of alcohol in the given mixture
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[Assistant] 14 litres

[User]
a sum fetched total simple interest of 4016.25 at the rate of 12 p. c. p. a. in 5 years. what is the sum?
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[Assistant] 6693.75


[User]
a man buys 50 pens at marked price of 46 pens from a whole seller. if he sells these pens giving a discount of 1 %, what is the profit percent?
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[Assistant] 7.6 %

[User]
a dog is tied to a tree by a long nylon cord. if the dog runs from the due north side of the tree to the due south side of the tree with the cord extended to its full length at all items, and the dog ran approximately 30 feet, what was the approximate length of the nylon cord w, in feet?
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[Assistant] 10

[User]
what is the least value of x, so that 2 x 5475 is divisible by 9
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[Assistant] 4

[User]
in the rectangular coordinate system, if the line x = 5 y + 5 passes through points ( m, n ) and ( m + 2, n + p ), what is the value of p?
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[Assistant] 2 / 5

[User]
in digging a pond 20 m * 15 m * 5 m the volumes of the soil extracted will be?
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[Assistant] 1500


[User]
a train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. the length of the train is :
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[Assistant] 50

[User]
the sum of the present ages of two persons a and b is 45. if the age of a is twice that of b, find the sum of their ages 5 years hence?
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[Assistant] 55

[User]
a car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 90 kilometers per hour. at what speed, in kilometers per hour, is the car traveling?
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[Assistant] 85.7

[User]
a searchlight on top of the watchtower makes 2 revolutions per minute. what is the probability that a man appearing near the tower will stay in the dark for at least 5 seconds?
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[Assistant] 5 / 6

[User]
on a map, 1 inch represents 28 miles. how many v inches would be necessary to represent a distance of 383.6 miles?
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[Assistant] 13.7


[User]
36 welders work at a constant rate they complete an order in 5 days. if after the first day, 12 welders start to work on the other project, how many more days the remaining welders will need to complete the rest of the order?
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[Assistant] 6

[User]
there are 23 students in a class. in how many different ways can a committee of 3 students be formed?
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[Assistant] 1771

[User]
the length of the bridge, which a train 150 meters long and travelling at 45 km / hr can cross in 30 seconds, is :
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[Assistant] 225

[User]
speed of a boat in standing water is 7 kmph and speed of the stream is 1.5 kmph. a man can 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] 31.44 hours

[User]
excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 37 kmph. of how many minutes does the train stop per hour?
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[Assistant] 11


[User]
a man traveled a total distance of 1800 km. he traveled one - third of the whole trip by plane and the distance traveled by train is one - half of the distance traveled by bus. if he traveled by train, plane and bus, how many kilometers did he travel by bus?
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[Assistant] 800

[User]
the jogging track in a sports complex is 726 m in circumference. suresh and his wife start from the same point and walk in opposite direction at 4.5 km / hr and 3.75 km / hr respectively. they will meet for the first time in :
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[Assistant] 5.28 min.

[User]
a and b have monthly incomes in the ratio 5 : 6 and monthly expenditures in the ratio 3 : 4. if they save rs. 1800 and rs. 1600 respectively, find the monthly income of b
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[Assistant] rs. 7200

[User]
mr. kramer, the losing candidate in a two - candidate election, received 942,568 votes, which was exactly 40 percent of all votes cast. approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast?
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[Assistant] 17 %

[User]
a certain manufacturer of cake, muffin, and bread mixes has 100 buyers, of whom 50 purchases cake mix, 40 purchase muffin mix, and 16 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] 13 / 50


[User]
if it is 5 : 14 in the evening on a certain day, what time in the morning was it exactly 2, 880702 minutes earlier? ( assume standard time in one location. )
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[Assistant] 5 : 32

[User]
a man can row 6 kmph in still water. when the river is running at 1.2 kmph, it takes him 1 hour to row to a place and back. how far is the place?
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[Assistant] 2.88

[User]
when positive integer n is divided by 3, the remainder is 2. when n is divided by 6, the remainder is 5. how many values less than 100 can n take?
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[Assistant] 4

[User]
a sports equipment store sold ping pong rackets for a total of $ 539. if the average ( arithmetic mean ) price of a pair of rackets is $ 9.8, how many pairs were sold?
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[Assistant] 55

[User]
a retailer bought a machine at a wholesale price of $ 80 and later on sold it after a 20 % discount of the retail price. if the retailer made a profit equivalent to 20 % of the wholesale price, what is the retail price of the machine?
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[Assistant] $ 120


[User]
there are 7 teams in a certain league and each team plays each of the other teams exactly twice. if each game is played by 2 teams, what is the total number of games played?
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[Assistant] 42

[User]
in expressing a length of 61.472 km as nearly as possible with the 3 significant digits, find the percentage error?
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[Assistant] 0.045 %

[User]
if x + y + z = 1. then xy + yz + zx is
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[Assistant] 1 / 4

[User]
in the storage room of a certain bakery, the ratio of sugar to flour is 5 to 2, and the ratio of flour to baking soda is 10 to 1. if there were 60 more pounds of baking soda in the room, the ratio of flour to baking soda would be 8 to 1. how many pounds of sugar are stored in the room?
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[Assistant] 6000

[User]
machine a can process 6000 envelopes in 3 hours. machines b and c working together but independently can process the same number of envelopes in 2.5 hours. if machines a and c working together but independently process 3000 envelopes in 1 hour, then how many hours would it take machine b to process 9800 envelopes.
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[Assistant] 7


[User]
difference between two numbers is 5, 6 times of the smaller lacks by 8 from the 4 times of the greater. find the numbers?
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[Assistant] 11,6

[User]
angelina walked 600 meters from her home to the grocery at a constant speed. she then walked 480 meters to the gym at double the speed. she spent 40 seconds less on her way from the grocery to the gym than on her way from home to the grocery. what was angelina's speed, in meters per second, from the grocery to the gym?
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[Assistant] 9

[User]
a train running at the speed of 180 km / hr crosses a pole in 36 seconds. what is the length of the train?
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[Assistant] 600 m

[User]
two brothers took the gmat exam, the higher score is x and the lower one is y. if the difference between the two scores 1 / 4, what is the value of y / x?
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[Assistant] 1 / 5

[User]
walking 3 / 2 of his usual rate, a boy reaches his school 4 min early. find his usual time to reach the school?
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[Assistant] 12


[User]
when 5 is added to half of one - third of one - fifth of a number, the result is one - fifteenth of the number. find the number?
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[Assistant] 150

[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 440, how many purple chips were selected?
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[Assistant] 1

[User]
9 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] 99

[User]
from a pack of cards, two cards are drawn one after the other, with replacement. what is the probability that the first card is a club and the second card is a king or queen?
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[Assistant] 1 / 26

[User]
a container has 40 l milk. 4 l milk is taken out and replaced with water, the process done 3 times. what is the amount of milk now left?
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[Assistant] 29.16 l


[User]
the average of 9 observations was 9, that of the 1 st of 4 being 10 and that of the last 4 being 8. what was the 5 th observation?
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[Assistant] 7

[User]
how much water must be added to 48 litres of milk at 1 1 ⁄ 2 litres for 20 so as to have a mixture worth 10 2 ⁄ 3 a litre?
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[Assistant] 12 litres

[User]
a salesman â € ™ s terms were changed from a flat commission of 5 % on all his sales to a fixed salary of rs. 1000 plus 2.5 % commission on all sales exceeding rs. 4,000. if his remuneration as per new scheme was rs. 100 more than that by the previous schema, his sales were worth?
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[Assistant] s. 32,000

[User]
two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 24 seconds. the ratio of their speeds is?
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[Assistant] 7 / 3

[User]
32 % of employees are women with fair hair. 40 % of fair - haired employees are women. what percent of employees have fair hair?
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[Assistant] 80


[User]
while visiting a small town in the united states, i lost my overcoat in a bus. when i reported the matter to the bus company i was asked the number of the bus. though i did not remember the exact number i did remember that the bus number bad a certain peculiarity about it. the number plate showed the bus number as a perfect square and also if the plate was turned upside down.? the number would still be a perfect square — of course it was not? i came to know from the bus company they had only 5 100 buses numbered from 1 to 500. from this i was able to deduce the bus number. can you tell what was the other number.
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[Assistant] 196

[User]
a car traveled from san diego to san francisco at an average speed of 51 miles per hour. if the journey back took twice as long, what was the average speed of the trip?
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[Assistant] 34.

[User]
in what time will a train 150 metres long cross an electric pole, if its speed be 122 km / hr?
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[Assistant] 4.42

[User]
what is the sum of the greatest common factor and the lowest common multiple of 16 and 36?
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[Assistant] 148

[User]
x is a positive integer less than 100. when x is divided by 7, the remainder is 1 ; when x is divided by 3, the remainder is 2. how many x are there?
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[Assistant] 14


[User]
a student has to obtain 33 % of the total marks to pass. he got 125 marks and failed by 40 marks. the maximum mark is
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[Assistant] 500

[User]
the number of boxes in a warehouse can be divided evenly into 9 equal shipments by boat or 24 equal shipments by truck. what is the smallest number of boxes that could be in the warehouse?
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[Assistant] 72

[User]
an outlet pipe empties a tank which is full in 5 hours. if the inlet pipe is kept open, which lets water in at the rate of 8 litres / min then outlet pipe would take 3 hours longer. find the capacity of the tank.
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[Assistant] 6400 litres

[User]
a can do a piece of work in 3 hours ; b and c together can do it in 2 hours, which a and b together can do it in 2 hours. how long will c alone take to do it?
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[Assistant] 3 hours

[User]
tony alone can paint a wall in 7 days and his friend roy alone can paint the same wall in 9 days. in how many days they can paint the wall working together? round off the answer to the nearest integer.
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[Assistant] 4


[User]
when the number 9 y 30012 is exactly divisible by 11, what is the smallest whole number that can replace y?
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[Assistant] 2

[User]
a worker's daily wage is increased by 40 % and the new wage is $ 35 per day. what was the worker's daily wage before the increase?
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[Assistant] $ 25

[User]
for the past n days, the average ( arithmetic mean ) daily production at a company was 60 units. if today's production of 90 units raises the average to 65 units per day, what is the value of n?
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[Assistant] 5

[User]
a 7 - digit combination lock on a safe has zero exactly 3 times, does not have the digit 1 at all. what is the probability that exactly 3 of its digits are odd?
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[Assistant] 1 / 4

[User]
the ratio of the cost price and the selling price is 4 : 5. the profit percent is :
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[Assistant] 25 %


[User]
pipe a and pipe b fill water into a tank of capacity 5000 litres, at a rate of 200 l / min and 50 l / min. pipe c drains at a rate of 25 l / min. pipe a is open for 1 min and closed, then pipe b is open for 2 min and closed. further the pipe c is opened and drained for another 2 min. this process is repeated until the tank is filled. how long will it take to fill the tank?
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[Assistant] 100

[User]
a can do a piece of work in 10 days and b in 20 days. they began the work together but 5 days before the completion of the work, a leaves. the work was completed in?
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[Assistant] 10 days

[User]
a car gets 20 kilometers per gallon of gasoline. how many gallons of gasoline would the car need to travel 130 kilometers?
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[Assistant] 6.5 gallons

[User]
the diameter of a garden roller is 1.4 m and it is 2 m long. how much area will it cover in 6 revolutions? ( use ï € = 22 â  „ 7 )
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[Assistant] 52.8 m 2

[User]
at what price must an article costing rs. 200 be marked in order that after deducting 10 % from the list price. it may be sold at a profit of 20 % on the cost price?
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[Assistant] 266.67


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

[User]
the lcm and hcf of two numbers are 1000 and 100 respectively. find the larger of the two numbers if their sum is 1100.
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[Assistant] 1000

[User]
ramesh purchased a refrigerator for rs. 12500 after getting a discount of 20 % on the labelled price. he spent rs. 125 on transport and rs. 250 on installation. at what price should it be sold so that the profit earned would be 15 % if no discount was offered?
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[Assistant] 18400

[User]
in a school 10 % of the boys are same in number as 1 / 6 th of the girls. what is the ratio of boys to the girls in the school?
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[Assistant] 5 : 3

[User]
the number of positive integer solutions for the equation x + y + z + t = 15 is
Answer the question using a single word or phrase.

[Assistant] 364


[User]
in a certain pond, 50 fish were caught, tagged, and returned to the pond. a few days later, 50 fish were caught again, of which 2 were found to have been tagged. if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what ` s the approximate number of fish in the pond?
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[Assistant] 1250

[User]
if the cost price of 12 pencils is equal to the selling price of 8 pencils, the gain percent is :
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[Assistant] 50

[User]
a and b together can do a work in 9 days. if a alone can do it in 18 days. in how many days can b alone do it?
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[Assistant] 18

[User]
solve below question 6 x - 1 = - 13
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[Assistant] - 2

[User]
if n = ( 32 ) ^ 43 + ( 43 ) ^ 33 what is the units digit of n?
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[Assistant] 8


[User]
if 125 ( 5 ^ y ) = 1 then y =
Answer the question using a single word or phrase.

[Assistant] - 3

[User]
a certain store sells all maps at one price and all books at another price. on monday the store sold 12 maps and 8 books for a total of $ 38.00, and on tuesday the store sold 20 maps and 12 books for a total of $ 60.00. at this store, how much less does a map sell for than a book?
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[Assistant] $ 1.00

[User]
the salary of a, b, c, d, e is rs. 8000, rs. 5000, rs. 11000, rs. 7000, rs. 9000 per month respectively, then the average salary of a, b, c, d, and e per month is
Answer the question using a single word or phrase.

[Assistant] rs. 8000

[User]
a car averages 75 mph for the first 4 hours of a trip and averages 60 mph for each additional hour. the average speed for the entire trip was 70 mph. how many hours long is the trip?
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[Assistant] 6

[User]
linda spent 3 / 4 of her savings on furniture and the rest on a tv. if the tv cost her $ 210, what were her original savings?
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[Assistant] $ 840


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

[User]
evaluate 50 % of 450 + 45 % of 500
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[Assistant] 450

[User]
ifaequals the sum of the even integers from 2 to 20, inclusive, andbequals the sum of the odd integers from 1 to 19, inclusive, what is the value of b - a?
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[Assistant] - 10

[User]
the angle of elevation of a ladder leaning against a wall is 60 º and the foot of the ladder is 4.6 m away from the wall. the length of the ladder is :
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[Assistant] 9.2 m

[User]
what is the cost of leveling the field in the form of parallelogram at the rate of rs. 50 / 10 sq. metre, whose base & perpendicular distance from the other side being 94 m & 54 m respectively?
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[Assistant] s. 5076


[User]
what is the minimum value of | x - 4 | + | x + 8 | + | x - 5 |?
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[Assistant] 13

[User]
divide rs. 1600 among a, b and c so that a receives 1 / 4 as much as b and c together and b receives 3 / 4 as a and c together. a's share is?
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[Assistant] 320

[User]
the population of a town is 10000. it increases annually at the rate of 15 % p. a. what will be its population after 2 years?
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[Assistant] 13225

[User]
a man's speed with the current is 16 km / hr and the speed of the current is 3.2 km / hr. the man's speed against the current is
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[Assistant] 9.6

[User]
a card game called “ high - low ” divides a deck of 52 playing cards into 2 types, “ high ” cards and “ low ” cards. there are an equal number of “ high ” cards and “ low ” cards in the deck and “ high ” cards are worth 2 points, while “ low ” cards are worth 1 point. if you draw cards one at a time, how many ways can you draw “ high ” and “ low ” cards to earn 6 points if you must draw exactly 3 “ low ” cards?
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[Assistant] 20


[User]
a card is drawn from a pack of 52 cards. the probability of not getting a face card?
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[Assistant] 9 / 13

[User]
what number is 64 more than two - fourth of itself?
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[Assistant] 128

[User]
in 10 years, a will be twice as old as b was 10 years ago. if a is now 6 years older than b the present age of b is
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[Assistant] 36

[User]
a train running at the speed of 56 km / hr crosses a pole in 9 sec. what is the length of the train?
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[Assistant] 140 m

[User]
the cross - section of a cannel is a trapezium in shape. if the cannel is 11 m wide at the top and 9 m wide at the bottom and the area of cross - section is 960 sq m, the depth of cannel is?
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[Assistant] 96


[User]
suppose 6 monkeys take 6 minutes to eat 6 bananas. how many monkeys would it take to eat 18 bananas in 18 minutes?
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[Assistant] 6

[User]
if 20 % of a number is equal to three - fifth of another number, what is the ratio of first number to the second number?
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[Assistant] 3 : 1

[User]
the sum of the ages of 5 children born at the intervals of 3 years each is 80 years. what is the age of the youngest child?
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[Assistant] 10 years

[User]
a runs 1 2 ⁄ 3 times as fast as b. if a gives b a start of 80 m, how far must the winning post be so that a and b might reach it at the same time?
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[Assistant] 200 m

[User]
in a division, a student took 42 as divisor instead of 36. his answer was 24. the correct answer is -
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[Assistant] 38


[User]
hyderabad chennai mumbai delhi bangalore trivandram ; hyderabad chennai mumbai delhi bangalore trivandram in the table above, what is the least number of table entries that are needed to show the mileage between each city and each of the other 5 cities?
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[Assistant] 15

[User]
the speed of a boat in still water in 20 km / hr and the rate of current is 5 km / hr. the distance travelled downstream in 24 minutes is :
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[Assistant] 10.0

[User]
the average weight of 8 person's increases by 3.5 kg when a new person comes in place of one of them weighing 65 kg. what is the weight of the new person?
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[Assistant] 93 kg

[User]
a river 5 m deep and 19 m wide is flowing at the rate of 4 kmph the amount of water that runs into the sea per minute is?
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[Assistant] 6333

[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 $ 158.50 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] $ 43


[User]
the prices of tea and coffee per kg were the same in june. in july the price of coffee shot up by 20 % and that of tea dropped by 20 %. if in july, a mixture containing equal quantities of tea and coffee costs 40 / kg. how much did a kg of coffee cost in june?
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[Assistant] 40

[User]
solve below question 4 x + 1 = 37
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[Assistant] 9

[User]
thabo owns exactly 220 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] 40

[User]
10 men do a work in 10 days. how many men are needed to finish the work in 5 days?
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[Assistant] 20

[User]
the average age of a family of 6 members is 28 years. if the age of the youngest member is 7 years, what was the average age of the family at the birth of the youngest member?
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[Assistant] 21


[User]
there are 84 supermarkets in the fgh chain. all of them are either in the us or canada. if there are 14 more fgh supermarkets in the us than in canada, how many fgh supermarkets are there in the us?
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[Assistant] 49

[User]
find out the square of a number which when doubled exceeds its one eighth by 15?
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[Assistant] 64

[User]
the h. c. f. of two numbers is 5 and their l. c. m. is 150. if one of the numbers is 25, then the other is :
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[Assistant] 30

[User]
a and b are two partially filled buckets of water. if 4 liters are transferred from a to b, then a would contain one - third of the amount of water in b. alternatively, if 5 liters are transferred from b to a, b would contain one - half of the amount of water in a. bucket a contains how many liters of water?
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[Assistant] 47 / 5

[User]
a sporting good store sells one type of baseball bat and one type of baseball. the cost for 2 bats and 4 balls is $ 220. the cost for 1 bat and 6 balls is $ 190, as well. if someone were to buy an equal number of bats and balls, at most how many bats can he purchase if he has a budget of $ 270 for the purchase?
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[Assistant] 3


[User]
in a coconut grove, ( x + 2 ) trees yield 30 nuts per year, x trees yield 120 nuts per year and ( x – 2 ) trees yield 180 nuts per year. if the average yield per year per tree be 100, find x.
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[Assistant] 10

[User]
a football player scores 2 goals in his fifth match thus increasing his average goals score by 0.3. the total number of goals in his 5 matches would be
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[Assistant] 4

[User]
jennifer had $ 120 to spend on herself. she spent 1 / 5 of the money on a sandwich, 1 / 6 for a ticket to a museum, and 1 / 2 of it on a book. how much money does jennifer have left over?
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[Assistant] $ 16

[User]
if the sum of two numbers is 55 and the h. c. f. and l. c. m of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to :
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[Assistant] 11 / 120

[User]
the banker's gain on a bill due due 1 year hence at 12 % per annum is rs. 7.8. the true discount is
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[Assistant] rs. 65


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

[User]
2 men and 4 boys can complete a work in 4 days. 5 men and 6 boys can complete the same work in 3 days. the work done by 2 boys is equal to the work of how many men?
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[Assistant] 5

[User]
the sides of a rectangular field are in the ratio 3 : 4. if the area of the field is 10092 sq. m, the cost of fencing the field @ 25 paise per metre is
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[Assistant] rs. 101.50

[User]
of 1000 surveyed students, 20 % of those who read book a also read book b and 25 % of those who read book b also read book a. if each student read at least one of the books, what is the difference between the number of students who read only book a and the number of students who read only book b?
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[Assistant] 125

[User]
a and b finish the job in 15 days. while a, b and c can finish it in 3 days. c alone will finish the job in
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[Assistant] 3.75 days


[User]
there is a total of 84 marbles in a box, each of which is red, green, blue, or white. if one marble is drawn from the box at random, the probability that it will be white is 1 / 4 and the probability that it will be green is 1 / 7. what is the probability that the marble will be either red or blue?
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[Assistant] 17 / 28

[User]
two trains of equal are running on parallel lines in the same direction at 50 km / hr and 36 km / hr. the faster train passes the slower train in 36 sec. the length of each train is?
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[Assistant] 70 m

[User]
a dog takes 3 leaps for every 7 leaps of a hare. if one leap of the dog is equal to 3 leaps of the hare, the ratio of the speed of the dog to that of the hare is :
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[Assistant] 9 : 7

[User]
what is the dividend. divisor 17, the quotient is 9 and the remainder is 5?
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[Assistant] 158

[User]
circular gears p and q start rotating at the same time at constant speeds. gear p makes 10 revolutions per minute and gear q makes 40 revolutions per minute. how many seconds after the gears start rotating will gear q have made exactly 2 more revolutions than gear p?
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[Assistant] 4


[User]
what are the last two digits of ( 301 * 402 * 502 * 604 * 646 * 547 * 448 * 349 ) ^ 2
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[Assistant] 56

[User]
p runs 25 % faster than q so p gives q a 60 meter head start. if the race ends in a tie, how far ( in meters ) did p run in the race?
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[Assistant] 300

[User]
joe invested a certain sum of money in a simple interest bond whose value grew to $ 560 at the end of 3 years and to $ 660 at the end of another 5 years. what was the rate of interest in which he invested his sum?
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[Assistant] 4 %

[User]
the average marks of a class of 25 students is 40 and that of another class of 30 students is 60. find the average marks of all the students?
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[Assistant] 50.9

[User]
two equally sized jugs full of water are each emptied into two separate unequally sized empty jugs, x and y. now, jug x is 1 / 3 full, while jug y is 2 / 3 full. if water is poured from jug x into jug y until jug y is filled, what fraction of jug x then contains water?
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[Assistant] 1 / 6


[User]
find the number of factors of 9321?
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[Assistant] 8

[User]
the average ( arithmetic mean ) of 20, 40, and 60 is 5 more than the average of 10, 60, and what number?
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[Assistant] 35

[User]
on dividing a number by 357, we get 39 as remainder. on dividing the same number by 17, what will be the remainder?
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[Assistant] 5

[User]
a man â € ™ s current age is ( 2 / 5 ) of the age of his father. after 12 years, he will be ( 1 / 2 ) of the age of his father. what is the age of father at now?
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[Assistant] 60

[User]
potato chips are on sale, buy 2 get 1 free. there are only 9 bags of chips left ( 4 plain and 5 bbq ). a shopper randomly grabs 3 bags. what is the probability the shopper will grab exactly 3 bags of bbq chips?
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[Assistant] 5 / 42


[User]
two spherical balls lie on the ground touching. if one of the balls has a radius of 10 cm, and the point of contact is 12 cm above the ground, what is the radius of the other ball ( in centimeters )?
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[Assistant] 15

[User]
there are two bags a and b. a contains 6 red flowers and 3 pink flowers. where as bag b contains 2 red flowers and 7 pink flowers. one flower is chosen from a bag randomly. what is the probability that the flower chosen is pink?
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[Assistant] 5 / 9

[User]
the length of the bridge, which a train 180 meters long and travelling at 45 km / hr can cross in 30 seconds, is?
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[Assistant] 195 m

[User]
a mixture of 50 litres of milk and water contains 10 % water. how many litres of water should be added to the mixture so that the mixture contains 15 % water?
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[Assistant] 25

[User]
a train 100 m long crosses a platform 125 m long in 30 sec ; find the speed of the train?
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[Assistant] 27


[User]
a small company is planning to rent either computer a or computer b to print customer mailing lists. both computer a and computer b must be rented on an hourly basis. the rental fee is based only on the amount of time the computer is turned on. it will cost 40 percent more per hour to rent computer a than to rent computer b. computer b would, however, require 20 hours more than computer a to do the job. if either computer a, or computer b were rented the total cost to rent the computer would be $ 650.00. what would be the approximate hourly charge to rent computer b?
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[Assistant] $ 9.28

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

[User]
a television have side 6 * 5. its screen size is 5 * 4. calculate the percentage of unscreened part t. v.
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[Assistant] 33.33

[User]
how many 5 digit number contain number 3?
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[Assistant] 37512

[User]
a train crosses a post in 15 seconds and a platform 100 m long in 25 seconds. its length is
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[Assistant] 150 m


[User]
how many factors does 49 ^ 2 have?
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[Assistant] 36

[User]
a cube of side one meter length is cut into small cubes of side 25 cm each. how many such small cubes can be obtained?
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[Assistant] 64

[User]
last week john spent 10 percent of his wages on recreation. this week, his wages are 10 percent less than last week ʼ s wages and he spent 40 percent of his wages on recreation. the amount he spends on recreation this week is what percent of the amount he spent on recreation last week
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[Assistant] 360 %

[User]
company s produces two kinds of stereos : basic and deluxe. of the stereos produced by company s last month, 2 / 3 were basic and the rest were deluxe. if it takes 8 / 5 as many hours to produce a deluxe stereo as it does to produce a basic stereo, then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos?
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[Assistant] 4 / 9

[User]
the age of mother one decade age was 3 times the age of her daughter. 10 years hence, mother ’ s age will be two times that of her daughter. the proposition of their current ages is :
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[Assistant] 7 : 3


[User]
1500 men have provisions for 17 days. if 320 more men join them, for how many days will the provisions last now?
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[Assistant] 14

[User]
the cost of carpeting a room 15 meters long with a carpet 75 cm wide at 30 paisa per meter is rs. 36. the breadth of the room is?
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[Assistant] 6 meters

[User]
the ratio between the length and the breadth of a rectangular park is 3 : 2. if a man cycling along the boundary of the park at the speed of 12 km / hr completes one round in 7 minutes, then the area of the park ( in sq. m ) is :
Answer the question using a single word or phrase.

[Assistant] 117600

[User]
james took a 3 - hour bike ride. in the second hour he traveled 6 miles, which was 20 percent farther than he traveled the first hour. if he traveled 25 percent farther in the third hour than he did in the second hour, how many miles did jose travel during the entire ride?
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[Assistant] 18.5

[User]
what least number must be added to 9599, so that the sum is completely divisible by 100?
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[Assistant] 1


[User]
in august, a cricket team that played 120 matches won 28 % of the games it played. after a continuous winning streak, this team raised its average to 52 %. how many matches did the team win to attain this average?
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[Assistant] 60

[User]
a fish can go upstream at 35 kmph and downstream at 55 kmph, and then find the speed of the fish in still water?
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[Assistant] 45

[User]
two numbers are respectively 20 % and 25 % more than a third number. so find the percentage that is first of the second is?
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[Assistant] 96

[User]
a shopkeeper sells 20 % of his stock at 10 % profit ans sells the remaining at a loss of 5 %. he incurred an overall loss of rs. 450. find the total worth of the stock?
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[Assistant] 22500

[User]
the number which exceeds 16 % of it by 126 is :
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[Assistant] 150


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

[User]
4.509 / 10.02 =
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[Assistant] 0.45

[User]
the captain of a cricket team of 11 members is 26 years old and the wicket keeper is 5 years older. if the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. what is the average age of the team?
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[Assistant] 24

[User]
the ratio of type of pen and type of notebook is 5 : 4. and in 80 ways one can start writing. tell me the no. of pen and no. of notebook.
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[Assistant] 10,8

[User]
joe ’ s average ( arithmetic mean ) test score across 4 equally weighted tests was 50. he was allowed to drop his lowest score. after doing so, his average test score improved to 55. what is the lowest test score that was dropped?
Answer the question using a single word or phrase.

[Assistant] 35


[User]
jamshid and irwin decided to make up their own version of basketball. in addition to being able to score 2 - point baskets, they created ways to score 5 -, 11 -, and 13 - point baskets. if at halftime the product of the point values of irwin ’ s baskets was 2420, how many 11 - point baskets e did irwin score?
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[Assistant] 2

[User]
a train is running at a speed of 40 km / hr and it crosses a post in 18 seconds. what is the length of the train?
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[Assistant] 200 metres

[User]
70 % of 300 + 25 % of 400 -? = 256
Answer the question using a single word or phrase.

[Assistant] 54

[User]
riya and priya set on a journey. riya moves eastward at a speed of 30 kmph and priya moves westward at a speed of 50 kmph. how far will be priya from riya after 45 minutes
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[Assistant] 60 kms

[User]
let c be defined as the sum of all prime numbers between 0 and 23. what is c / 3
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[Assistant] 25.3


[User]
a cistern which could be filled in 10 hours takes 2 hour more to be filled owing to a leak in its bottom. if the cistern is full, in what time will the leak empty it?
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[Assistant] 110 hours

[User]
when the positive integer x is divided by 9, the remainder is 5. what is the remainder when 5 x is divided by 9?
Answer the question using a single word or phrase.

[Assistant] 7

[User]
when positive integer x is divided by positive integer y, the remainder is 7. if x / y = 86.1, what is the value of y?
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[Assistant] 70

[User]
find the simple interest on $ 10000 at 8 % per annum for 12 months?
Answer the question using a single word or phrase.

[Assistant] $ 800

[User]
a fruit - salad mixture consists of apples, peaches, and grapes in the ratio 6 : 5 : 2, respectively, by weight. if 78 pounds of the mixture is prepared, the mixture includes how many more pounds of apples than grapes?
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[Assistant] 24


[User]
if ( a + b ) = 11, ( b + c ) = 9 and ( c + d ) = 3, what is the value of ( a + d )?
Answer the question using a single word or phrase.

[Assistant] 5.

[User]
from a vessel on the first day, 1 / 3 rd of the liquid evaporates. on the second day 3 / 4 th of the remaining liquid evaporates. what fraction of the volume is present at the end of the 2 day
Answer the question using a single word or phrase.

[Assistant] 1 / 6

[User]
the ratio of the incomes of uma and bala is 8 : 7 and the ratio of their expenditure is 7 : 6. if at the end of the year, each saves $ 2000 then the income of uma is?
Answer the question using a single word or phrase.

[Assistant] $ 16000

[User]
the average of 6 numbers is 30. if the average of first 4 is 25 and that of last 3 is 35, the fourth number is :
Answer the question using a single word or phrase.

[Assistant] 25

[User]
how many of the positive factors of 15, 45 and how many common factors are there in numbers?
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[Assistant] 3


[User]
divide rs. 32000 in the ratio 1 : 9?
Answer the question using a single word or phrase.

[Assistant] 3200, 28800

[User]
if a car had traveled 25 kmh faster than it actually did, the trip would have lasted 30 minutes less. if the car went exactly 75 km, at what speed did it travel?
Answer the question using a single word or phrase.

[Assistant] 50 kmh

[User]
in the faculty of reverse - engineering, 240 second year students study numeric methods, 423 second year students study automatic control of airborne vehicles and 134 second year students study them both. how many students are there in the faculty if the second year students are approximately 80 % of the total?
Answer the question using a single word or phrase.

[Assistant] 661.

[User]
machine a and machine b are each used to manufacture 770 sprockets. it takes machine a 10 hours longer to produce 770 sprockets than machine b. machine b produces 10 % more sprockets per hour than machine a. how many sprockets per hour does machineaproduce?
Answer the question using a single word or phrase.

[Assistant] 7.7

[User]
for any integer p, * p is equal to the product of all the integers between 1 and p, inclusive. how many prime numbers are there between * 5 + 3 and * 5 + 5, inclusive?
Answer the question using a single word or phrase.


[User]
a cistern is normally filled in 12 hrs, but takes 2 hrs longer to fill because of a leak on its bottom, if cistern is full, how much time citern would empty?
Answer the question using a single word or phrase.

[Assistant] 84 hours

[User]
what is the units digit of the product of the first 100 odd numbers?
Answer the question using a single word or phrase.

[Assistant] 5

[User]
how many positive integers between 20 and 2000 ( both are inclusive ) are there such that they are multiples of 10?
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[Assistant] 199

[User]
what is the cost of leveling the field in the form of parallelogram at the rate of rs. 50 / 10 sq. metre, whose base & perpendicular distance from the other side being 54 m & 24 m respectively?
Answer the question using a single word or phrase.

[Assistant] rs. 6480

[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, in how many days can b alone complete that work?
Answer the question using a single word or phrase.

[Assistant] 6


[User]
a, b and c rents a pasture for rs. 870. a put in 12 horses for 8 months, b 16 horses for 9 months and 18 horses for 6 months. how much should a pay?
Answer the question using a single word or phrase.

[Assistant] 240

[User]
caleb spends $ 68.50 on 50 hamburgers for the marching band. if single burgers cost $ 1.00 each and double burgers cost $ 1.50 each, how many double burgers did he buy?
Answer the question using a single word or phrase.

[Assistant] 37

[User]
in a graduating class of 234 students, 144 took geometry and 119 took biology. what is the difference between the greatest possible number and the smallest possible number of students that could have taken both geometry and biology?
Answer the question using a single word or phrase.

[Assistant] 115

[User]
two trains are moving at 60 kmph and 70 kmph in opposite directions. their lengths are 150 m and 100 m respectively. the time they will take to pass each other completely is?
Answer the question using a single word or phrase.

[Assistant] 7 sec

[User]
one fourth of a solution that was 11 % salt by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight. the second solution was what percent salt by weight?
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[Assistant] 31 %


[User]
80 percent of the members of a study group are women, and 40 percent of those women are lawyers. if one member of the study group is to be selected at random, what is the probability that the member selected is a woman lawyer?
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[Assistant] 0.32

[User]
if a and b are positive integers and ( 2 ^ a ) ^ b = 2 ^ 5, what is the value of 2 ^ a * 2 ^ b?
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[Assistant] 64

[User]
if money is invested at r percent interest, compounded annually, the amount of investment will double in approximately 70 / r years. if pat's parents invested $ 8000 in a long term bond that pays 8 percent interest, compounded annually, what will be the approximate total amount of investment 18 years later, when pat is ready for college?
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[Assistant] $ 32000

[User]
the average ( arithmetic mean ) of the even integers from 0 to 120 inclusive is how much greater than the average ( arithmetic mean ) of the even integers from 0 to 60 inclusive?
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[Assistant] 30

[User]
a batsman scored 120 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] 50 %


[User]
the average age of 6 men increases by 3 years when two women are included in place of two men of ages 24 and 26 years. find the average age of the women?
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[Assistant] 34

[User]
| 9 - 4 | - | 12 - 14 | =?
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[Assistant] 3

[User]
a school has received 80 % of the amount it needs for a new building by receiving a donation of $ 600 each from people already solicited. people already solicited represent 40 % of the people from whom the school will solicit donations. how much average contribution is requited from the remaining targeted people to complete the fund raising exercise?
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[Assistant] 100

[User]
if 4 ^ k = 5, then 4 ^ ( 2 k + 2 ) =
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[Assistant] 400

[User]
there are 16 stations between hyderabad and bangalore. how many second class tickets have to be printed, so that a passenger can travel from any station to any other station?
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[Assistant] 306


[User]
an auction house charges a commission of 15 % on the first $ 50,000 of the sale price of an item, plus 10 % on the amount of of the sale price in excess of $ 50,000. what was the price of a painting for which the house charged a total commission of $ 24,000?
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[Assistant] $ 215,000

[User]
a man travelled for 13 hours. he covered the first half of the distance at 20 kmph and remaining half of the distance at 25 kmph. find the distance travelled by the man?
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[Assistant] 200 km

[User]
in the storage room of a certain bakery, the ratio of sugar to flour is 5 to 4, and the ratio of flour to baking soda is 10 to 1. if there were 60 more pounds of baking soda in the room, the ratio of flour to baking soda would be 8 to 1. how many pounds of sugar are stored in the room?
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[Assistant] 3000

[User]
a can do a work in 2 days. b can do the same work in 3 days. both a & b together will finish the work and they got $ 500 from that work. find their shares?
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[Assistant] 300,200

[User]
a fruit seller had some apples. he sells 40 % apples and still has 420 apples. originally, he had
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[Assistant] 700 apples


[User]
if the radius of a circle is decreased by 50 %, find the percentage decrease in its area.
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[Assistant] 75 %

[User]
what is the least number of squares tiles required to pave the floor of a room 8 m 82 cm long and 2 m 52 cm broad?
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[Assistant] 14

[User]
a coin is tossed 8 times. what is the probability of getting exactly 7 heads?
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[Assistant] 1 / 32

[User]
the price of a jacket is reduced by 25 %. during a special sale the price of the jacket is reduced another 30 %. by approximately what percent must the price of the jacket now be increased in order to restore it to its original amount?
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[Assistant] 90.5

[User]
tough and tricky questions : word problems. mike, sarah and david decided to club together to buy a present. each of them gave equal amount of money. luckily sarah negotiated a 20 % discount for the present so that each of them paid 4 dollars less. how much did they pay for a present?
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[Assistant] 48


[User]
if each digit in the set a = { 1, 2, 3, 4, 5, 6, 7, 8, 9 } is used exactly once, in how many ways can the digits be arranged?
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[Assistant] 362,880

[User]
8 ^ 100 is divisible by 17. find the remainder?
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[Assistant] 16

[User]
in a competitive examination in a 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 80 more candidates got selected than a. what was the number of candidates appeared from each state?
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[Assistant] 8000

[User]
how many natural numbers are there between 23 and 100 which are exactly divisible by 6?
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[Assistant] 13

[User]
at a loading dock, each worker on the night crew loaded 3 / 4 as many boxes as each worker on the day crew. if the night crew has 4 / 9 as many workers as the day crew, what fraction of all the boxes loaded by the two crews did the day crew load?
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[Assistant] 3 / 4


[User]
a bowl was filled with 10 ounces of water, and 0.0008 ounce of the water evaporated each day during a 50 - day period. what percent of the original amount of water evaporated during this period?
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[Assistant] 0.40 %

[User]
if x ¤ y = ( x + y ) ^ 2 - ( x - y ) ^ 2. then √ 5 ¤ √ 5 =
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[Assistant] 20

[User]
which number should replace both the asterisks in ( * / 20 ) x ( * / 180 ) = 1?
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[Assistant] 60

[User]
how many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 18 kmph?
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[Assistant] 50 sec

[User]
what is the sum of all even numbers from 1 to 701?
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[Assistant] 122850


[User]
two numbers have a h. c. f of 11 and a product of two numbers is 1991. find the l. c. m of the two numbers?
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[Assistant] 181

[User]
at what price must an book costing $ 47.50 be marked in order that after deducting 15 % from the list price. it may be sold at a profit of 25 % on the cost price?
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[Assistant] 69.85

[User]
16.02 × 0.001 =?
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[Assistant] 0.01602

[User]
find the numbers which are in the ratio 3 : 2 : 3 such that the sum of the first and the second added to the difference of the third and the second is 24?
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[Assistant] 18, 12,18

[User]
in one hour, a boat goes 13 km along the stream and 5 km against the stream. the speed of the boat in still water ( in km / hr ) is :
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[Assistant] 9


[User]
a library has an average of 510 visitors on sundays and 240 on other days. what is the average number of visitors per day in a month of 30 days beginning with a sunday?
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[Assistant] 285

[User]
if each participant of a chess tournament plays exactly one game with each of the remaining participants, then 231 games will be played during the tournament. what is the number of participants?
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[Assistant] 22

[User]
in a certain archery competition, points were awarded as follows : the first place winner receives 11 points, the second place winner receives 7 points, the third place winner receives 5 points and the fourth place winner receives 2 points. no other points are awarded. john participated several times in the competition and finished first, second, third, or fourth each time. the product of all the points he received was 15400. how many times did he participate in the competition?
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[Assistant] 7

[User]
the owner of a furniture shop charges his customer 30 % more than the cost price. if a customer paid rs. 8450 for a computer table, then what was the cost price of the computer table?
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[Assistant] rs. 6500

[User]
on rainy mornings, mo drinks exactly n cups of hot chocolate ( assume that n is an integer ). on mornings that are not rainy, mo drinks exactly 6 cups of tea. last week mo drank a total of 22 cups of tea and hot chocolate together. if during that week mo drank 14 more tea cups than hot chocolate cups, then how many rainy days were there last week?
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[Assistant] 4


[User]
find the value of 85 p 3.
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[Assistant] 595650

[User]
water consists of hydrogen and oxygen, and the approximate ratio, by mass, of hydrogen to oxygen is 2 : 16. approximately how many grams of hydrogen are there in 171 grams of water?
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[Assistant] 19

[User]
two whole numbers whose sum is 42 can not be in the ratio
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[Assistant] 3 : 8

[User]
running at their respective constant rate, machine x takes 2 days longer to produce w widgets than machines y. at these rates, if the two machines together produce 5 w / 4 widgets in 3 days, how many days would it take machine x alone to produce 4 w widgets.
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[Assistant] 24

[User]
the average of first 32 natural numbers is?
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[Assistant] 16.5