[User]
alex takes a loan of $ 5,000 to buy a used truck at the rate of 2 % simple interest. calculate the annual interest to be paid for the loan amount.
Answer the question using a single word or phrase.

[Assistant] 100

[User]
during the first two weeks of january, the total rainfall in springdale was 40 inches. if the rainfall during the second week was 1.5 times the rainfall during the first week, what was the rainfall during the second week of january?
Answer the question using a single word or phrase.

[Assistant] 24 inches

[User]
tom, working alone, can paint a room in 20 hours. peter and john, working independently, can paint the same room in 10 hours and 5 hours, respectively. tom starts painting the room and works on his own for two hour. he is then joined by peter and they work together for two hour. finally, john joins them and the three of them work together to finish the room, each one working at his respective rate. what fraction of the whole job was done by peter?
Answer the question using a single word or phrase.

[Assistant] 2 / 5

[User]
a van takes 5 hours to cover a distance of 450 km. what speed in kph should the van maintain to cover the same distance in 3 / 2 of the previous time?
Answer the question using a single word or phrase.

[Assistant] 60

[User]
what is the compound interest paid on a sum of rs. 4500 for the period of 2 years at 10 % per annum.
Answer the question using a single word or phrase.

[Assistant] 945


[User]
at veridux corporation, there are 250 employees. of these, 90 are female, and the rest are males. there are a total of 40 managers, and the rest of the employees are associates. if there are a total of 145 male associates, how many female managers are there?
Answer the question using a single word or phrase.

[Assistant] 25

[User]
if 10 parallel lines in a plane is intersected by a family of another 8 parallel lines, how many parallelograms are there in the network thus formed?
Answer the question using a single word or phrase.

[Assistant] 1260

[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 5 cups of tea. last week mo drank a total of 22 cups of tea and hot chocolate together. if during that week mo drank 8 more tea cups than hot chocolate cups, then how many rainy days were there last week?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
two cars a and b start from boston and new york respectively simultaneously and travel towards each other at constant speeds along the same route. after meeting at a point between boston and new york the two cars a and b proceed to their respective destinations of new york and boston. car a reaches new york 10 minutes after the two cars have met and car b reaches boston 90 minutes after they have met. how long did car a take to cover the distance between boston and new york?
Answer the question using a single word or phrase.

[Assistant] 50 minutes

[User]
70 % of a number is added to 120, the result is the same number. find the number?
Answer the question using a single word or phrase.

[Assistant] 400


[User]
the area of a square is equal to five times the area of a rectangle of dimensions 25 cm * 5 cm. what is the perimeter of the square?
Answer the question using a single word or phrase.

[Assistant] 100

[User]
in a college, the ratio of the number of boys to girls is 8 : 4. if there are 200 girls, the total number of students in the college is
Answer the question using a single word or phrase.

[Assistant] 600

[User]
a certain bag contains 60 balls — 22 white, 18 green, 5 yellow, 6 red, and 9 purple. if a ball is to be chosen at random, what is the probability that the ball will be neither red nor purple?
Answer the question using a single word or phrase.

[Assistant] 0.75

[User]
a and b start a business, with a investing the total capital of rs. 50000, on the condition that b pays a interest @ 10 % per annum on his half of the capital. a is a working partner and receives rs. 1500 per month from the total profit and any profit remaining is equally shared by both of them. at the end of the year, it was found that the income of a is twice that of b. find the total profit for the year?
Answer the question using a single word or phrase.

[Assistant] 59000

[User]
on a certain date, pat invested $ 6000 at x percent annual interest, compounded annually. if the total value of the investment plus interest at the end of 10 years will be $ 24000, in how many years total will the total value of the investment plus interest increase to $ 48000?
Answer the question using a single word or phrase.

[Assistant] 15


[User]
equal amount of water were poured into two empty jars of different capacities, which made one jar 1 / 6 full and other jar 1 / 5 full. if the water in the jar with lesser capacity is then poured into the jar with greater capacity, what fraction of the larger jar will be filled with water?
Answer the question using a single word or phrase.

[Assistant] 1 / 3

[User]
abel can complete a work in 10 days, ben in 14 days and carla in 15 days. all of them began the work together, but abel had to leave after 2 days and ben 3 days before the completion of the work. how long did the work last?
Answer the question using a single word or phrase.

[Assistant] 7 10 / 29

[User]
what is the smallest positive integer that can be multiplied by 432 to make it a perfect square?
Answer the question using a single word or phrase.

[Assistant] 3

[User]
the price of lunch for 14 people was $ 207 including a 15 % gratuity for service. what was the average price per person, excluding the gratuity?
Answer the question using a single word or phrase.

[Assistant] 12.85

[User]
the difference between the place values of two sevens in the numeral 69758472 is
Answer the question using a single word or phrase.

[Assistant] 699930


[User]
if x is less than y by 20 % then y exceed x by :
Answer the question using a single word or phrase.

[Assistant] 25 %

[User]
a picnic attracts 200 persons. there are 20 more men than women, and 20 more adults than children. how many men are at this picnic?
Answer the question using a single word or phrase.

[Assistant] 65

[User]
the smallest fraction, which each of 6 / 7, 5 / 14, 10 / 21 will divide exactly is :
Answer the question using a single word or phrase.

[Assistant] 30 / 7

[User]
what is rate of interest if principal. amount be 400, simple interest 180 and time 2 year.
Answer the question using a single word or phrase.

[Assistant] 22.5

[User]
find the smallest number which when divided by 11 and 12 leaves respective remainders of 2 and 3.
Answer the question using a single word or phrase.

[Assistant] 131


[User]
the mean of 50 observations was 36. it was found later that an observation 28 was wrongly taken as 23. the corrected new mean is :
Answer the question using a single word or phrase.

[Assistant] 36.1

[User]
the rate of interest on a sum of money is 9 % p. a. for the first 3 years, 4 % p. a. for the next 4 years, and 5 % for the period beyond 7 years. if the s. i, occured on the sum for the total period of 8 years is rs. 540 / -, the sum is
Answer the question using a single word or phrase.

[Assistant] 1,125

[User]
in a games hour 4 different types of players came to the ground? cricket 22, hokey 15, football 21, softball 19. how many players are present in the ground?
Answer the question using a single word or phrase.

[Assistant] 77

[User]
an alloy is to contain copper and zinc in the ratio 5 : 3. the zinc required to be melted with 40 kg of copper is?
Answer the question using a single word or phrase.

[Assistant] 24 kg

[User]
if 5 % more is gained by selling an article for rs. 350 than by selling it for rs. 348, the cost of the article is
Answer the question using a single word or phrase.

[Assistant] 40


[User]
a man traveled a total distance of 900 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?
Answer the question using a single word or phrase.

[Assistant] 400 km

[User]
if a no. when divided by 44, gives 432 as quotient and 0 as remainder. what will be the remainder when dividing the same no. by 30
Answer the question using a single word or phrase.

[Assistant] 18

[User]
in country z, 18 % of the people do not have a university diploma but have the job of their choice, and 25 % of the people who do not have the job of their choice have a university diploma. if 40 % of the people have the job of their choice, what percent of the people have a university diploma?
Answer the question using a single word or phrase.

[Assistant] 37 %

[User]
if 0.5 of a number is equal to 0.09 of another number, the ratio of the numbers i
Answer the question using a single word or phrase.

[Assistant] 9 : 50

[User]
two trains t 1 and t 2 start simultaneously from two stations x and y respectively towards each other. if they are 70 km apart both 3 and 6 hours after start, then find the distance between the two stations.
Answer the question using a single word or phrase.

[Assistant] 210 km


[User]
among 7 numbers the average of first 4 numbers is 13 and the average of last 4 numbers is 15. the sum of last 3 numbers is 55. the square of the fourth number is equal to the last number then what is the last number?
Answer the question using a single word or phrase.

[Assistant] 25

[User]
a driver would have reduced the time it took to drive from home to the store by 1 / 3 if the average speed had been increased by 12 miles per hour. what was the actual average speed, in miles per hour, when the driver drove from home to the store?
Answer the question using a single word or phrase.

[Assistant] 24

[User]
the sum of all the digits of the integers from 18 to 21 inclusive is 24 ( 1 + 8 + 1 + 9 + 2 + 0 + 2 + 1 = 24 ). what is the sum q of all the digits of the integers from 0 to 99 inclusive?
Answer the question using a single word or phrase.

[Assistant] 900

[User]
a man has rs. 10350 in the form of rs. 50 notes and rs. 500 notes. the total number of notes are 126. find the number of notes of rs. 50 denomination.
Answer the question using a single word or phrase.

[Assistant] 117

[User]
a dealer purchases 15 articles for rs. 25 and sells 12 articles for rs. 33. find the profit percentage?
Answer the question using a single word or phrase.

[Assistant] 65 %


[User]
each factor of 230 is inscribed on its own plastic ball, and all of the balls are placed in a jar. if a ball is randomly selected from the jar, what is the probability that the ball is inscribed with a multiple of 42?
Answer the question using a single word or phrase.

[Assistant] 3 / 16

[User]
3 different containers contain 496 litres, 403 litres and 713 litres of mixtures of milk and water respectively. what biggest measure can measure all the different quantities exactly?
Answer the question using a single word or phrase.

[Assistant] 31 litres

[User]
12 persons can complete the work in 18 days. after working for 6 days, 4 more persons added to complete the work fast. in how many more days they will complete the work?
Answer the question using a single word or phrase.

[Assistant] 9 days

[User]
there are 870 male and female participants in a meeting. half the female participants and one - quarterof the male participants are democrats. one - third of all the participants are democrats. how many of the democrats are female?
Answer the question using a single word or phrase.

[Assistant] 145

[User]
is two years older than b who is twice as old as c. if the total of the ages of a, b and c be 37, then how old is b?
Answer the question using a single word or phrase.

[Assistant] 14


[User]
a and b invests rs. 10000 each, a investing for 9 months and b investing for all the 12 months in the year. if the total profit at the end of the year is rs. 21000, find their shares?
Answer the question using a single word or phrase.

[Assistant] 9000,12000

[User]
a batsman scored 150 runs which included 5 boundaries and 5 sixes. what percent of his total score did he make by running between the wickets.
Answer the question using a single word or phrase.

[Assistant] 66.66 %

[User]
speed of a boat in standing water is 16 kmph and the speed of the stream is 2 kmph. a man rows to a place at a distance of 7380 km and comes back to the starting point. the total time taken by him is :
Answer the question using a single word or phrase.

[Assistant] 937.1 hours

[User]
a jar of 220 marbles is divided equally among a group of marble - players today. if 2 people joined the group in the future, each person would receive 1 marble less. how many people are there in the group today?
Answer the question using a single word or phrase.

[Assistant] 20

[User]
a train running at the speed of 60 km / hr crosses a pole in 6 seconds. find the length of the train?
Answer the question using a single word or phrase.

[Assistant] 100 meter


[User]
if ( m - 8 ) is a factor of m ^ 2 - sm - 24, then s =
Answer the question using a single word or phrase.

[Assistant] 5

[User]
a dice has one of the first 4 prime number on each its 6 sides, with no two sides having the same number. the dice is rolled 10 times and the results added. the addition is most likely to be closet to
Answer the question using a single word or phrase.

[Assistant] 43

[User]
each of the products produced yesterday was checked by worker x or worker y. 0.5 % of the products checked by worker x are defective and 0.8 % of the products checked by worker y are defective. if the total defective rate of all the products checked by worker x and worker y is 0.7 %, what fraction of the products was checked by worker y?
Answer the question using a single word or phrase.

[Assistant] 2 / 3

[User]
40 men took a dip in a water tank 40 m long and 20 m broad on a religious day. if the average displacement of water by a man is 4 m 3, then the rise in the water level in the tank will be :
Answer the question using a single word or phrase.

[Assistant] 20 cm

[User]
if a is thrice as fast as b and together can do a work in 18 days. in how many days a alone can do the work?
Answer the question using a single word or phrase.

[Assistant] 24


[User]
a factory produces 3400 toys per week. if the workers at this factory work 5 days a week and if these workers make the same number of toys everyday, how many toys are produced each day?
Answer the question using a single word or phrase.

[Assistant] 680 toys

[User]
if the cost price is 99 % of selling price then what is the profit percentage.
Answer the question using a single word or phrase.

[Assistant] 1.01

[User]
g ( a ) is defined as the product of all even integers k such that 0 < k ≤ x. for example, g ( 14 ) = 2 × 4 × 6 × 8 × 10 × 12 × 14. if g ( y ) is divisible by 4 ^ 11, what is the smallest possible value for a?
Answer the question using a single word or phrase.

[Assistant] 24

[User]
j is 25 % less than p and 20 % less than t. t is w % less than p. what is the value of w?
Answer the question using a single word or phrase.

[Assistant] 6.25

[User]
how many litres of pure acid are there in 4 litres of a 35 % solution
Answer the question using a single word or phrase.

[Assistant] 1.4


[User]
last year department store x had a sales total for december that was 7 times the average ( arithmetic mean ) of the monthly sales totals for january through november. the sales total for december was what fraction of the sales total for the year?
Answer the question using a single word or phrase.

[Assistant] 7 / 18

[User]
a man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. the ratio of the speed of the boat ( in still water ) and the stream is :
Answer the question using a single word or phrase.

[Assistant] 3 : 1

[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

[User]
a shopkeeper sold an article at $ 100 with 10 % profit. then find its cost price?
Answer the question using a single word or phrase.

[Assistant] $ 91

[User]
how many factors does 25 ^ 2 have?
Answer the question using a single word or phrase.

[Assistant] 8


[User]
a glass was filled with 12 ounces of water, and 0.03 ounce of the water evaporated each day during a 22 - day period. what percent of the original amount of water evaporated during this period?
Answer the question using a single word or phrase.

[Assistant] 5.5 %

[User]
dan ’ s car gets 32 miles per gallon. if gas costs $ 4 / gallon, then how many miles can dan ’ s car go on $ 38 of gas?
Answer the question using a single word or phrase.

[Assistant] 304

[User]
if x + y = 20, x - y = 10, for integers of x and y, x =?
Answer the question using a single word or phrase.

[Assistant] 15

[User]
molly's age in 18 years will be 5 times her age 6 years ago. what is molly's present age?
Answer the question using a single word or phrase.

[Assistant] 12

[User]
in a circuit board factory, all circuit boards that pass a verification process are certified. every board that fails the verification process is indeed faulty, but 1 / 8 of those that pass are also faulty. approximately how many faulty circuit boards exist in a group of 3200 circuit boards where 64 fail inspection?
Answer the question using a single word or phrase.

[Assistant] 456


[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 90 / kg. how much did a kg of coffee cost in june?
Answer the question using a single word or phrase.

[Assistant] 90

[User]
a dealer purchased an article at 3 / 4 of its list price and sold 50 % more than the list price. find his gain percent?
Answer the question using a single word or phrase.

[Assistant] 100 %

[User]
4 / 15 of 5 / 7 of a number is greater than 4 / 9 of 2 / 5 of the same number by 24. what is half of that number?
Answer the question using a single word or phrase.

[Assistant] 945

[User]
a driver just filled the car's gas tank with 54 liters of gasohol, a mixture consisting of 5 % ethanol and 95 % gasoline. if the car runs best on a mixture consisting of 10 % ethanol and 90 % gasoline, how many liters of ethanol must be added into the gas tank for the car to achieve optimum performance?
Answer the question using a single word or phrase.

[Assistant] 3

[User]
a store owner estimates that the average price of type a products will increase by 30 % next year and that the price of type b products will increase by 20 % next year. this year, the total amount paid for type a products was $ 3200 and the total price paid for type b products was $ 5800. according to the store owner's estimate, and assuming the number of products purchased next year remains the same as that of this year, how much will be spent for both products next year?
Answer the question using a single word or phrase.

[Assistant] $ 11,129


[User]
20 % of employees are women with fair hair. 40 % of fair - haired employees are women. what percent of employees have fair hair?
Answer the question using a single word or phrase.

[Assistant] 50

[User]
the cost of a one - family home was $ 120,000 in 1980. in 1988, the price had increased to $ 168,000. what was the percent increase in the cost of the home?
Answer the question using a single word or phrase.

[Assistant] 40 %

[User]
marginal cost is the cost of increasing the quantity produced ( or purchased ) by one unit. if the fixed cost for n products is $ 10,000 and the marginal cost is $ 250, and the total cost is $ 16,000, what is the value of n?
Answer the question using a single word or phrase.

[Assistant] 24

[User]
in a sports club with 30 members, 17 play badminton and 19 play tennis and 2 do not play either. how many members play both badminton and tennis?
Answer the question using a single word or phrase.

[Assistant] 8

[User]
a fill pipe can fill 1 / 2 of cistern in 10 minutes. in how many minutes, it can fill 1 / 2 of the cistern?
Answer the question using a single word or phrase.

[Assistant] 10 min


[User]
wink, inc. follows a certain procedure that requires two tasks to be finished independently in order for a job to be done. on any given day, there is a 3 / 8 probability that task 1 will be completed on time, and a 3 / 5 probability that task 2 will be completed on time. on a certain day, what is the probability that task 1 will be completed on time, but task 2 will not?
Answer the question using a single word or phrase.

[Assistant] 3 / 20

[User]
the average weight of 10 person's increases by 3.5 kg when a new person comes in place of one of them weighing 65 kg. what might be the weight of the new person?
Answer the question using a single word or phrase.

[Assistant] 100 kg

[User]
what will be remainder when ( 67 ^ 67 + 67 ) is divided by 68?
Answer the question using a single word or phrase.

[Assistant] 66

[User]
a reduction of 25 % in the price of oil enables a house wife to obtain 5 kgs more for rs. 1000, what is the reduced price for kg?
Answer the question using a single word or phrase.

[Assistant] s. 50

[User]
two cars a and b start from boston and new york respectively simultaneously and travel towards each other at constant speeds along the same route. after meeting at a point between boston and new york the two cars a and b proceed to their respective destinations of new york and boston. car a reaches new york 20 minutes after the two cars have met and car b reaches boston 90 minutes after they have met. how long did car a take to cover the distance between boston and new york?
Answer the question using a single word or phrase.

[Assistant] 1 hour 20 minutes


[User]
the price of a coat in a certain store is $ 500. if the price of the coat is to be reduced by $ 300, by what percent is the price to be reduced?
Answer the question using a single word or phrase.

[Assistant] 60 %

[User]
what is the 10 th digit to the right of the decimal point in the decimal equivalent of 124 / 22?
Answer the question using a single word or phrase.

[Assistant] 3

[User]
- - - - - - - - - - - - - - - - yes - - - - - - - - - no - - - - unsure subject m - - - - 500 - - - - - - - - 200 - - - - - 100 subject r - - - - 400 - - - - - - - - 100 - - - - - 300 a total of 800 students were asked whether they found two subjects, m and r, interesting. each answer was either yes or no or unsure, and the numbers of students who gave these answers are listed in the table above. if 170 students answered yes only for subject m, how many of the students did not answer yes for either subject?
Answer the question using a single word or phrase.

[Assistant] 230

[User]
a man can do a piece of work in 10 days, but with the help of his son, he can finish it in 5 days. in what time can the son do it alone?
Answer the question using a single word or phrase.

[Assistant] 10

[User]
alan buys 4 tvs, a 26 inch, a 28 inch, a 30 inch, and a 32 inch, for his new house. each tv costs $ 200 more than the size below it. alan spends a total of $ 4,400. how much would he have spent if he had bought only the 28 inch and 30 inch tvs?
Answer the question using a single word or phrase.

[Assistant] 2,200


[User]
find large number from below question the difference of two numbers is 750. on dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
Answer the question using a single word or phrase.

[Assistant] 897

[User]
a man, a woman and a boy can together complete a piece of work in 4 days. if a man alone can do it in 6 days and a boy alone in 18 days, how long will a woman take to complete the work?
Answer the question using a single word or phrase.

[Assistant] 36 days

[User]
the price of lunch for 15 people was $ 210.00, including a 15 percent gratuity for service. what was the average price per person, excluding the gratuity?
Answer the question using a single word or phrase.

[Assistant] $ 12.72

[User]
82 a 7 + 6 b ____ 190 if a and b represent positive single digits in the correctly worked computation above, what is the value of a + 2 b?
Answer the question using a single word or phrase.

[Assistant] 6

[User]
the average expenditure of a labourer for 6 months was 85 and he fell into debt. in the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30. his monthly income i
Answer the question using a single word or phrase.

[Assistant] 78


[User]
in a certain alphabet, 13 letters contain a dot and a straight line. 24 letters contain a straight line but do not contain a dot. if that alphabet has 40 letters, all of which contain either a dot or a straight line or both, how many letters contain a dot but do not contain a straight line?
Answer the question using a single word or phrase.

[Assistant] 3

[User]
the tax on a commodity is diminished by 10 % but its consumption is increased by 20 %. find the decrease percent in the revenue derived from it?
Answer the question using a single word or phrase.

[Assistant] 4 %

[User]
what is the units digit of ( 493 ) ( 915 ) ( 381 ) ( 756 )
Answer the question using a single word or phrase.

[Assistant] 4

[User]
the edge of a cube is 2 a cm. find its surface?
Answer the question using a single word or phrase.

[Assistant] 24 a 2 cm 2

[User]
two men started from the same place walk at the rate of 10 kmph and 12 kmph respectively. what time will they take to be 2 km apart, if they walk in the same direction?
Answer the question using a single word or phrase.

[Assistant] 1 hours


[User]
of 30 applicants for a job, 10 had at least 4 years'experience, 18 had degrees, and 3 had less than 4 years'experience and did not have a degree. how many of the applicants had at least 4 years'experience and a degree?
Answer the question using a single word or phrase.

[Assistant] 9

[User]
of 70 players on a football team, 34 are throwers. the rest of the team is divided so one third are left - handed and the rest are right handed. assuming that all throwers are right handed, how many right - handed players are there total?
Answer the question using a single word or phrase.

[Assistant] 58

[User]
if the digits 31 in the decimal 0.00031 repeat indefinitely, what is the value of ( 10 ^ 5 - 10 ^ 3 ) ( 0.00031 )?
Answer the question using a single word or phrase.

[Assistant] 31

[User]
the perimeter of a triangle is 48 cm and the inradius of the triangle is 2.5 cm. what is the area of the triangle?
Answer the question using a single word or phrase.

[Assistant] 60 cm 2

[User]
a jar full of whisky contains 40 % alcohol. a part of this whisky is replaced by another containg 19 % alcohol and now the percentage of alcohol was found to be 24 %. what quantity of whisky is replaced?
Answer the question using a single word or phrase.

[Assistant] 16 / 21


[User]
two cars are driving toward each other. the first car is traveling at a speed of 100 km / h, which is 25 % faster than the second car's speed. if the distance between the cars is 720 km, how many hours will it take until the two cars meet?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
a tiger is chasing its prey at a constant speed. it entire body passes a blade of grass in 1 second. it then runs above a fallen tree trunk that is 20 meters long in 5 seconds. what is the length of the tiger?
Answer the question using a single word or phrase.

[Assistant] 5 m

[User]
a couple who own an appliance store discover that if they advertise a sales discount of 10 % on every item in the store, at the end of one month the number of total items sold increases 25 %. their gross income from sales for one month increases by what percent?
Answer the question using a single word or phrase.

[Assistant] 12.5 %

[User]
5 / 8 th of a job is completed in 10 days. if a person works at the same pace, how many days will he take to complete the job?
Answer the question using a single word or phrase.

[Assistant] 6

[User]
find the number of different prime factors of 12800
Answer the question using a single word or phrase.

[Assistant] 2


[User]
the sum of two numbers is 30 and their difference is 10. find their product.
Answer the question using a single word or phrase.

[Assistant] 200

[User]
difference of two numbers is 1660. if 7.5 % of the number is 12.5 % of the other number, find the number?
Answer the question using a single word or phrase.

[Assistant] 2490 and 4150

[User]
a car is running at a speed of 120 kmph. what distance will it cover in 12 sec?
Answer the question using a single word or phrase.

[Assistant] 396 m

[User]
jack and christina are standing 360 feet apart on a level surface. their dog, lindy, is standing next to christina. at the same time, they all begin moving toward each other. jack walks in a straight line toward christina at a constant speed of 5 feet per second and christina walks in a straight line toward jack at a constant speed of 7 feet per second. lindy runs at a constant speed of 12 feet per second from christina to jack, back to christina, back to jack, and so forth. what is the total distance, in feet, that lindy has traveled when the three meet at one place?
Answer the question using a single word or phrase.

[Assistant] 360

[User]
rs. 6000 is lent out in two parts. one part is lent at 6 % p. a simple interest and the other is lent at 10 % p. a simple interest. the total interest at the end of one year was rs. 450. find the ratio of the amounts lent at the lower rate and higher rate of interest?
Answer the question using a single word or phrase.

[Assistant] 5 : 3


[User]
average age of students of an adult school is 52 years. 120 new students whose average age is 32 years joined the school. as a result the average age is decreased by 4 years. find the number of students of the school after joining of the new students.
Answer the question using a single word or phrase.

[Assistant] 150

[User]
the h. c. f and l. c. m of two numbers are 11 and 385 respectively. if one number lies between 75 and 125, then that number is
Answer the question using a single word or phrase.

[Assistant] 77

[User]
a train running at the speed of 54 km / hr crosses a pole in 9 seconds. find the length of the train?
Answer the question using a single word or phrase.

[Assistant] 135 meter

[User]
simplify 3 / 4 of 6 0 – 8 / 5 of 60 +? = 12
Answer the question using a single word or phrase.

[Assistant] 63

[User]
a certain junior class has 1000 students and a certain senior class has 800 students. among these students, there are 60 siblings pairs each consisting of 1 junior and 1 senior. if 1 student is to be selected at random from each class, what is the probability that the 2 students selected will be a sibling pair?
Answer the question using a single word or phrase.

[Assistant] 3 / 40000


[User]
what is the average ( arithmetic mean ) of all the multiples of 10 from 10 to 160 inclusive?
Answer the question using a single word or phrase.

[Assistant] 70

[User]
michael earns $ 7.00 per hour for the first 40 hours he works per week, and twice this rate for overtime. if michael earned $ 320 last week, how many hours did he work?
Answer the question using a single word or phrase.

[Assistant] 43

[User]
if rs. 7500 are borrowed at c. i at the rate of 4 % per annum, then after 2 years the amount to be paid is?
Answer the question using a single word or phrase.

[Assistant] rs. 8112

[User]
steve traveled the first 2 hours of his journey at 50 mph and the remaining 3 hours of his journey at 80 mph. what is his average speed for the entire journey?
Answer the question using a single word or phrase.

[Assistant] 68 mph

[User]
pat, kate, and mark charged a total of 153 hours to a certain project. if pat charged twice as much time to the project as kate and 1 / 3 as much time as mark, how many more hours did mark charge to the project than kate?
Answer the question using a single word or phrase.

[Assistant] 85


[User]
if d = 1 / ( 2 ^ 3 * 5 ^ 8 ) is expressed as a terminating decimal, how many nonzero digits will d have?
Answer the question using a single word or phrase.

[Assistant] two

[User]
the arithmetic mean of 5 negative integers is - 100. if the average of 3 of these integers is - 90, what is the least possible value that one of the other 2 integers can have?
Answer the question using a single word or phrase.

[Assistant] - 229

[User]
rs. 3150 is divided so that 5 times the first share, thrice the 2 nd share and six times the third share amount to the same. what is the value of the third share?
Answer the question using a single word or phrase.

[Assistant] s 750

[User]
maxwell leaves his home and walks toward brad's house. one hour later, brad leaves his home and runs toward maxwell's house. if the distance between their homes is 94 kilometers, maxwell's walking speed is 4 km / h, and brad's running speed is 6 km / h. what is the total time it takes maxwell before he meets up with brad?
Answer the question using a single word or phrase.

[Assistant] 10

[User]
excluding stoppages, the speed of a train is 48 kmph and including stoppages it is 40 kmph. of how many minutes does the train stop per hour?
Answer the question using a single word or phrase.

[Assistant] 10


[User]
the number 0.5 is how much greater than 1 / 6?
Answer the question using a single word or phrase.

[Assistant] 1 / 3

[User]
there are 22 students in a class. in how many different ways can a committee of 3 students be formed?
Answer the question using a single word or phrase.

[Assistant] 1540

[User]
a 70 cm long wire is to be cut into two pieces so that one piece will be 2 / 5 th of the other, how many centimeters will the shorter piece be?
Answer the question using a single word or phrase.

[Assistant] 20

[User]
the slant height of a cone is 20 cm and radius of the base is 10 cm, find the curved surface of the cone.
Answer the question using a single word or phrase.

[Assistant] 628

[User]
evaluate : 6602.5 + 660.25 + 66.025 + 6.6025 + 0.66025
Answer the question using a single word or phrase.

[Assistant] 7336.03775


[User]
if a ^ 2 + b ^ 2 = 25 and ab = 10, what is the value of the expression ( a - b ) ^ 2 + ( a + b ) ^ 2?
Answer the question using a single word or phrase.

[Assistant] 50

[User]
if 25 typists can type 60 letters in 20 minutes, then how many letters will 75 typists working at the same rate complete in 1 hour?
Answer the question using a single word or phrase.

[Assistant] 540

[User]
a shopkeeper labeled the price of his articles so as to earn a profit of 20 % on the cost price. he then sold the articles by offering a discount of 10 % on the labeled price. what is the actual percent profit earned in the deal?
Answer the question using a single word or phrase.

[Assistant] 19 %

[User]
a person can row at 9 kmph and still water. he takes 6 1 / 2 hours to row from a to b and back. what is the distance between a and b if the speed of the stream is 1 kmph?
Answer the question using a single word or phrase.

[Assistant] 29

[User]
in the junior basketball league there are 18 teams, 2 / 3 of them are bad and ½ are rich. what ca n't be the number of teams that are rich and bad
Answer the question using a single word or phrase.

[Assistant] 10.


[User]
the sum of the present age of henry and jill is 43. what is their present ages if 5 years ago henry was twice the age of jill?
Answer the question using a single word or phrase.

[Assistant] and 27

[User]
a certain characteristic in a large population has a distribution that is symmetric about the mean m. if 84 percent of the distribution lies within one standard deviation d of the mean, what percent of the distribution is less than m + d?
Answer the question using a single word or phrase.

[Assistant] 92 %

[User]
the compound ratio of 5 : 8, 3 : 2 and 4 : 5?
Answer the question using a single word or phrase.

[Assistant] 3 : 4

[User]
by selling 14 pencils for a rupee a man loses 22 %. how many for a rupee should he sell in order to gain 22 %?
Answer the question using a single word or phrase.

[Assistant] 10

[User]
i travel the first part of my journey at 40 kmph and the second part at 60 kmph and cover the total distance of 240 km to my destination in 5 hours. how long did the first part of my journey last
Answer the question using a single word or phrase.

[Assistant] 3


[User]
if 4 cats can kill 4 rats in 4 minutes, how long will it take 100 cats to kill 100 rats?
Answer the question using a single word or phrase.

[Assistant] 4 minutes

[User]
how many seconds will a 500 m long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 75 km / hr?
Answer the question using a single word or phrase.

[Assistant] 25

[User]
if x and y are integers such that ( x + 1 ) ^ 2 is less than or equal to 49 and ( y - 1 ) ^ 2 is less than 64, what is the sum of the maximum possible value of xy and the minimum possible value of xy?
Answer the question using a single word or phrase.

[Assistant] - 16

[User]
in an election between two candidates, one got 55 % of the total valid votes, 20 % of the votes were invalid. if the total number of votes was 7500, the number of valid votes that the other candidate got, was
Answer the question using a single word or phrase.

[Assistant] 2700

[User]
cost is expressed by the formula tb ^ 4. if b is doubled, the new cost r is what percent of the original cost?
Answer the question using a single word or phrase.

[Assistant] r = 1600


[User]
the ratio of three numbers is 5 : 3 : 4 and their sum is 108. the second number of the three numbers is?
Answer the question using a single word or phrase.

[Assistant] 27

[User]
there are two concentric circles with radii 5 and 4. if the radius of the outer circle is increased by 20 % and the radius of the inner circle decreased by 50 %, by what percent does the area between the circles increase?
Answer the question using a single word or phrase.

[Assistant] 256

[User]
a sum of money at simple interest amounts to rs. 815 in 2 years and to rs. 854 in 3 years. the sum is :
Answer the question using a single word or phrase.

[Assistant] 737

[User]
a rectangular floor that measures 8 meters by 10 meters is to be covered with carpet squares that each measure 2 meters by 2 meters. if the carpet squares cost $ 10 apiece, what is the total cost for the number of carpet squares needed to cover the floor?
Answer the question using a single word or phrase.

[Assistant] $ 200

[User]
there are 6 positive and 8 negative numbers. 4 numbers are choosen at random and multiplied. the probability that the product is positive is :
Answer the question using a single word or phrase.

[Assistant] 505 / 1001


[User]
population of a city in 20004 was 1000000. if in 2005 there isan increment of 15 %, in 2006 there is a decrements of 35 % and in 2007 there is an increment of 35 %, then find the population of city atthe end of the year 2007
Answer the question using a single word or phrase.

[Assistant] 1009125

[User]
f ( x ) is a function such that f ( x ) + 3 f ( 8 - x ) = x for all real numbers x. find the value of f ( 2 ).
Answer the question using a single word or phrase.

[Assistant] 2

[User]
a bag contains an equal number of one rupee, 50 paise and 25 paise coins respectively. if the total value is 105, how many coins of each type are there?
Answer the question using a single word or phrase.

[Assistant] 60 coins

[User]
john can complete a given task in 20 days. jane will take only 10 days to complete the same task. john and jane set out to complete the task by beginning to work together. however, jane was indisposed 5 days before the work got over. in how many days did the work get over from the time john and jane started to work on it together?
Answer the question using a single word or phrase.

[Assistant] 10

[User]
a man sold 20 articles for $ 60 and gained 10 %. how many articles should he sell for $ 90 to incur a loss 20 %?
Answer the question using a single word or phrase.

[Assistant] 40


[User]
list k consists of 10 consecutive integers. if - 4 is the least integer in list k, what is the range of the positive integers in list k?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
in a school of 400 boys, 44 % of muslims, 28 % hindus, 10 % sikhs and the remaining of other communities. how many belonged to the other communities?
Answer the question using a single word or phrase.

[Assistant] 72

[User]
a train 120 m in length crosses a telegraph post in 6 seconds. the speed of the train is?
Answer the question using a single word or phrase.

[Assistant] 72 kmph

[User]
two boats are heading towards each other at constant speeds of 3 miles / hr and 21 miles / hr respectively. they begin at a distance 20 miles from each other. how far are they ( in miles ) one minute before they collide?
Answer the question using a single word or phrase.

[Assistant] 3 / 15

[User]
two trains of equal lengths take 12 sec and 20 sec respectively to cross a telegraph post. if the length of each train be 120 m, in what time will they cross other travelling in opposite direction?
Answer the question using a single word or phrase.

[Assistant] 15 sec


[User]
a couple who own an appliance store discover that if they advertise a sales discount of 10 % on every item in the store, at the end of one month the number of total items sold increases 20 %. their gross income from sales for one month increases by what percent?
Answer the question using a single word or phrase.

[Assistant] 8 %

[User]
a reduction of 48 % in the price of bananas would enable a man to obtain 64 more for rs. 40, what is reduced price per dozen?
Answer the question using a single word or phrase.

[Assistant] 3.6

[User]
what is the remainder when 1271 * 1275 * 1279 * 1285 is divided by 12?
Answer the question using a single word or phrase.

[Assistant] 3

[User]
the s. i. on a certain sum of money for 3 years at 8 % per annum is half the c. i. on rs. 4000 for 2 years at 10 % per annum. the sum placed on s. i. is?
Answer the question using a single word or phrase.

[Assistant] 1750

[User]
in plutarch enterprises, 70 % of the employees are marketers, 20 % are engineers, and the rest are managers. marketers make an average salary of $ 60,000 a year, and engineers make an average of $ 80,000. what is the average salary for managers if the average for all employees is also $ 80,000?
Answer the question using a single word or phrase.

[Assistant] $ 220,000


[User]
a person buys an article at rs. 460. at what price should he sell the article so as to make a profit of 18 %?
Answer the question using a single word or phrase.

[Assistant] 542

[User]
if an integer n is to be chosen at random from the integers 1 to 86, inclusive, what is the probability that n ( n + 1 ) ( n + 2 ) will be divisible by 8?
Answer the question using a single word or phrase.

[Assistant] 55 / 86

[User]
a school has received 60 % 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?
Answer the question using a single word or phrase.

[Assistant] $ 277.78

[User]
the “ length of integer x ” refers to the number of prime factors, not necessarily distinct, that x has. ( if x = 60, the length of x would be 4 because 60 = 2 × 2 × 3 × 5. ) what is the greatest possible length of integer z if z < 1,000?
Answer the question using a single word or phrase.

[Assistant] 9

[User]
in a group of 6 boys and 4 girls are to be selected. in how many different ways can they be selected such that at least one boy should be there?
Answer the question using a single word or phrase.

[Assistant] 209


[User]
the youngest of 4 children has siblings who are 1, 4, and 7 years older than she is. if the average ( arithmetic mean ) age of the 4 siblings is 17, what is the age of the youngest sibling?
Answer the question using a single word or phrase.

[Assistant] 14

[User]
a, b, c weighted separately 1 st like a, b, c, then a & b, then b & c, then c & a at last a & b & c, the last weight was 167, then what will be the average weight of the 7 reading?
Answer the question using a single word or phrase.

[Assistant] 95.42

[User]
a man can row at 5 kmph in still water. if the velocity of current is 1 kmph and it takes him 1 hour to row to a plce and come back, how far is the place?
Answer the question using a single word or phrase.

[Assistant] 2.4 km

[User]
a box contains 24 electric bulbs, out of which 4 are defective. two bulbs are chosen at random from this box. the probability that at least one of these is defective is
Answer the question using a single word or phrase.

[Assistant] 24 / 77

[User]
one side of a rectangular field is 15 m and one of its diagonals is 17 m. find the area of the field in meter square
Answer the question using a single word or phrase.

[Assistant] 120


[User]
in a sample of christ college students, 30 percent are third year students and 90 percent are not second - year students. what fraction of those students who are not third - year students are second - year students?
Answer the question using a single word or phrase.

[Assistant] 1 / 7

[User]
an electric pump can fill a tank in 3 hours. because of a leak in the tank, it took 12 hours to fill the tank. if the tank is full, how much time will the leak take to empty it?
Answer the question using a single word or phrase.

[Assistant] 4 hours

[User]
in a school of 800 students, 45 % wear blue shirts, 23 % wear red shirts, 15 % wear green shirts, and the remaining students wear other colors. how many students wear other colors ( not blue, not red, not green )?
Answer the question using a single word or phrase.

[Assistant] 136

[User]
what is the hcf of 2 / 3, 4 / 12 and 6 / 5
Answer the question using a single word or phrase.

[Assistant] 1 / 30

[User]
michelle deposited a certain sum of money in a savings account on july 1 st, 2007. she earns an 10 % interest compounded semiannually. the sum of money in the account on december 31 st, 2009 is approximately what percent of the initial deposit?
Answer the question using a single word or phrase.

[Assistant] 127 %


[User]
john want to buy a $ 100 trouser at the store, but he think it â € ™ s too expensive. finally, it goes on sale for $ 70. what is the percent decrease?
Answer the question using a single word or phrase.

[Assistant] 30 %

[User]
the average salary of all the workers in a workshop is rs. 8000. the average salary of 7 technicians is rs. 10000 and the average salary of the rest is rs. 6000. the total number of workers in the workshop is :
Answer the question using a single word or phrase.

[Assistant] 14

[User]
a cistern 9 m long and 6 m wide contains water up to a breadth of 2 m 25 cm. find the total area of the wet surface.
Answer the question using a single word or phrase.

[Assistant] 122 m sqaure

[User]
in a company, 54 percent of the employees are men. if 60 percent of the employees are unionized and 70 percent of these are men, what percent of the non - union employees are women?
Answer the question using a single word or phrase.

[Assistant] 70 %

[User]
10 women can complete a work in 7 days & 10 children take 14 days to complete the work. how many days will 5 women and 10 children take to complete the work?
Answer the question using a single word or phrase.

[Assistant] 7 days


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

[Assistant] 1 and 7

[User]
the total cost of a vacation was divided among 3 people. if the total cost of the vacation had been divided equally among 4 people, the cost per person would have been $ 30 less. what was the total cost cost of the vacation?
Answer the question using a single word or phrase.

[Assistant] $ 360

[User]
a survey was sent to 75 customers, 7 of whom responded. then the survey was redesigned and sent to another 60 customers, 9 of whom responded. by approximately what percent did the response rate increase from the original survey to the redesigned survey?
Answer the question using a single word or phrase.

[Assistant] 60 %

[User]
mary's income is 60 % more than tim's income and tim's income is 20 % less than juan's income. what % of juan's income is mary's income.
Answer the question using a single word or phrase.

[Assistant] 128 %

[User]
a train 125 m long passes a man, running at 9 km / hr in the same direction in which the train is going, in 10 seconds. the speed of the train is?
Answer the question using a single word or phrase.

[Assistant] 54


[User]
steve traveled the first 2 hours of his journey at 40 mph and the last 3 hours of his journey at 80 mph. what is his average speed of travel for the entire journey?
Answer the question using a single word or phrase.

[Assistant] 64 mph

[User]
a brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 25 m * 2 m * 0.75 m?
Answer the question using a single word or phrase.

[Assistant] 25000

[User]
the ratio of the incomes of a and b is 5 : 4 and the ratio of their expenditure is 3 : 2. if at the end of the year, each saves $ 1600 then the income of a is?
Answer the question using a single word or phrase.

[Assistant] $ 4000

[User]
a wooden box of dimensions 8 m x 7 m x 6 m is to carry rectangularboxes of dimensions 8 cm x 7 cm x 6 cm. the maximum number ofboxes that can be carried in the wooden box, is
Answer the question using a single word or phrase.

[Assistant] 1000000

[User]
two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 16 kmph and 19 kmph respectively. when they meet, it is found that one train has traveled 60 km more than the other one. the distance between the two stations is?
Answer the question using a single word or phrase.

[Assistant] 420


[User]
the speed of the boat in still water in 12 kmph. it can travel downstream through 60 kms in 3 hrs. in what time would it cover the same distance upstream?
Answer the question using a single word or phrase.

[Assistant] 15 hours

[User]
if there are 200 questions in a 3 hr examination. among these questions are 25 type a problems, which requires twice as much as time be spent than the rest of the type b problems. how many minutes should be spent on type a problems?
Answer the question using a single word or phrase.

[Assistant] 40 min

[User]
the size of a television screen is given as the length of the screen's diagonal. if the screens were flat, then the area of a square 20 - inch screen would be how many square inches greater than the area of a square 18 - inch screen?
Answer the question using a single word or phrase.

[Assistant] 38

[User]
in a group of 8 engineers, 3 engineers have a phd degree ; the others have only an ms or bs degree. a team of 3 engineers is to be chosen which must have at least 1 engineer with a phd, how many different teams can be chosen?
Answer the question using a single word or phrase.

[Assistant] 46

[User]
in the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30. in the sport formulation, the ratio of flavoring to corn syrup is three times as great as in the standard formulation, and the ratio of flavoring to water is half that of the standard formulation. if a large bottle of the sport formulation contains 4 ounces of corn syrup, how many ounces of water does it contain?
Answer the question using a single word or phrase.

[Assistant] 60


[User]
in an election between two candidates, the winner has a margin of 20 % of the votes polled. if 1000 people change their mind and vote for the loser, the loser would have won by a margin of 20 % of the votes polled. find the total number of votes polled in the election?
Answer the question using a single word or phrase.

[Assistant] 5000

[User]
there are 600 students in a school. the ratio of boys and girls in this school is 3 : 5. find the total of girls & boys are there in this school?
Answer the question using a single word or phrase.

[Assistant] 375

[User]
8 is 2 % of a, and 2 is 8 % of b. c equals b / a. what is the value of c?
Answer the question using a single word or phrase.

[Assistant] 1 / 16

[User]
a certain psychologist charges $ 30 more for the first hour of therapy than for each additional hour. if the total charge to a patient who receives 5 hours of therapy is $ 400, what is the total charge to a patient who receives only 3 hours of therapy?
Answer the question using a single word or phrase.

[Assistant] $ 252

[User]
in a race, the speeds of a and b are in the ratio 3 : 4. a takes 30 minutes more than b to reach the destination. the time taken by a to reach the destination is?
Answer the question using a single word or phrase.

[Assistant] 2 hr


[User]
by selling an article at rs. 800, a profit of 25 % is made. find its cost price?
Answer the question using a single word or phrase.

[Assistant] s. 640

[User]
kanul spent $ 500 in buying raw materials, $ 400 in buying machinery and 10 % of the total amount he had as cash with him. what was the total amount?
Answer the question using a single word or phrase.

[Assistant] $ 1000

[User]
the area of one square is x ^ 2 + 8 x + 16 and the area of another square is 4 x ^ 2 − 20 x + 25. if the sum of the perimeters of both squares is 44, what is the value of x?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
what is the probability of getting exactly three heads on five flips of a fair coin?
Answer the question using a single word or phrase.

[Assistant] 5 / 16

[User]
simple interest on a certain sum of money for 4 years at 10 % per annum is half the compound interest on rs. 3000 for 3 years at 12 % per annum. the sum placed on simple interest is
Answer the question using a single word or phrase.

[Assistant] rs. 1518.48


[User]
in a certain lottery, the probability that a number between 14 and 20, inclusive, is drawn is 1 / 6. if the probability that a number 14 or larger is drawn is 2 / 3, what is the probability that a number less than or equal to 20 is drawn?
Answer the question using a single word or phrase.

[Assistant] 1 / 2

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

[Assistant] 6

[User]
in a can, there is a mixture of milk and water in the ratio 3 : 7. if it is filled with an additional 8 litres of milk the can would be full and ratio of milk and water would become 4 : 7. find the capacity of the can?
Answer the question using a single word or phrase.

[Assistant] 16.6

[User]
dawson and henry are in a relay race. dawson runs the first leg of the course in 38 seconds. henry runs the second leg of the course in 7 seconds. what was the average time they took to run a leg of the course?
Answer the question using a single word or phrase.

[Assistant] 22.5

[User]
if 1500 is increased by 20 %, and then reduced by y %, yielding 1080, what is y?
Answer the question using a single word or phrase.

[Assistant] 40 %


[User]
if a is thrice as fast as b and together can do a work in 24 days. in how many days a alone can do the work?
Answer the question using a single word or phrase.

[Assistant] 32

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

[Assistant] 7 ½ ft

[User]
find the product of the local value and absolute value of 4 in 20468?
Answer the question using a single word or phrase.

[Assistant] 1600

[User]
a train 500 meters long completely crosses a 300 meters long bridge in 45 seconds. what is the speed of the train is?
Answer the question using a single word or phrase.

[Assistant] 64

[User]
a and b invests rs. 3000 and rs. 4000 respectively in a business. if a doubles his capital after 6 months. in what ratio should a and b divide that year's profit?
Answer the question using a single word or phrase.

[Assistant] 9 : 8


[User]
we have boxes colored either red or blue. in each blue box there is a fixed number of blueberries. in each red box there is a fixed number of strawberries. if we dispose of one blue box for one additional red box, the total number of berries would increase by 30, and the difference between the total number of strawberries and the total number of blueberries would increase by 100. each blue box contains how many blueberries?
Answer the question using a single word or phrase.

[Assistant] 35

[User]
there are an average of 117 jellybeans in each of 34 bags of various sizes. after adding another bag, the average number of jellybeans per bag increases by 7. how many jellybeans are in the new bag?
Answer the question using a single word or phrase.

[Assistant] 362

[User]
a student has to obtain 33 % of the total marks to pass. he got 175 marks and failed by 89 marks. the maximum marks are?
Answer the question using a single word or phrase.

[Assistant] 800

[User]
a solution of 90 litres contains milk and water in the ratio 7 : x. if 10 litres of water is added to the solution, the ratio becomes 3 : 2, find the value of x?
Answer the question using a single word or phrase.

[Assistant] 3.5

[User]
in an election between the two candidates, the candidates who gets 70 % of votes polled is winned by 240 vote ’ s majority. what is the total number of votes polled?
Answer the question using a single word or phrase.

[Assistant] 600


[User]
in covering a distance of 42 km, abhay takes 2 hours more than sameer. if abhay doubles his speed, then he would take 1 hour less than sameer. abhay's speed is :
Answer the question using a single word or phrase.

[Assistant] 7 kmph

[User]
a store sells chairs and tables. if the price of 2 chairs and 1 table is 60 % of the price of 1 chair and 2 tables, and the price of 1 table and 1 chair is $ 96, what is the price, in dollars, of 1 table? ( assume that every chair has the same price and every table has the same price. )
Answer the question using a single word or phrase.

[Assistant] 84

[User]
the length of the bridge, which a train 140 meters long and travelling at 45 km / hr can cross in 30 seconds, is?
Answer the question using a single word or phrase.

[Assistant] 235

[User]
maths, physics and chemistry books are stored on a library shelf that can accommodate 25 books. currently, 20 % of the shelf spots remain empty. there are twice as many maths books as physics books and the number of physics books is 4 greater than that of chemistry books. among all the books, 12 books are soft cover and the remaining are hard - cover. if there are a total of 7 hard - cover books among the maths and physics books. what is the probability t, that a book selected at random is either a hard cover book or a chemistry book?
Answer the question using a single word or phrase.

[Assistant] 9 / 20

[User]
evaluate : 86 x 863 - 86 x 237
Answer the question using a single word or phrase.

[Assistant] 53836


[User]
a man complete a journey in 40 hours. he travels first half of the journey at the rate of 20 km / hr and second half at the rate of 30 km / hr. find the total journey in km.
Answer the question using a single word or phrase.

[Assistant] 960 km

[User]
a large box contains 19 small boxes and each small box contains 25 chocolate bars. how many chocolate bars are in the large box?
Answer the question using a single word or phrase.

[Assistant] 475

[User]
a store has 10 bottles of juice, including 6 bottles of apple juice. in the evening, 6 bottles of juice are sold one by one. what is the probability of selling 4 bottles of apple juice among the 6 bottles? assume that every bottle has an equal chance of being bought.
Answer the question using a single word or phrase.

[Assistant] 3 / 7

[User]
in a class of 50 students, 18 take chorus, 26 take band, and 2 take both chorus and band. how many students in the class are not enrolled in either chorus or band?
Answer the question using a single word or phrase.

[Assistant] 8

[User]
a shopkeeper sold an article offering a discount of 5 % and earned a profit of 34.9 %. what would have been the percentage of profit earned if no discount had been offered?
Answer the question using a single word or phrase.

[Assistant] 42


[User]
how long will a boy take to run round a square field of side 30 meters, if he runs at the rate of 12 km / hr?
Answer the question using a single word or phrase.

[Assistant] 36 sec

[User]
the number of timeshare condos available at sunset beach is 2 / 5 the number of timeshare condos available at playa del mar. if the total number of timeshare condos available at the two beaches combined is 280, what is the difference between the number of condos available at sunset beach and the number of condos available at playa del mar?
Answer the question using a single word or phrase.

[Assistant] 120

[User]
the price of a coat in a certain store is $ 500. if the price of the coat is to be reduced by $ 350, by what percent is the price to be reduced?
Answer the question using a single word or phrase.

[Assistant] 70 %

[User]
ratio of two numbers x and y is 7 : 9. if x is increased by 20 % and y is increased by 33 then the new ratio becomes 1 : 5. what is the ratio 2 y : ( x + 4 )
Answer the question using a single word or phrase.

[Assistant] 18 : 11

[User]
of 70 players on a football team, 52 are throwers. the rest of the team is divided so one third are left - handed and the rest are right handed. assuming that all throwers are right handed, how many right - handed players are there total?
Answer the question using a single word or phrase.

[Assistant] 64


[User]
a man can row upstream at 15 kmph and downstream at 35 kmph, and then find the speed of the man in still water?
Answer the question using a single word or phrase.

[Assistant] 25

[User]
39! is divided by 41. then what is the remainder?
Answer the question using a single word or phrase.

[Assistant] 1

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

[Assistant] rs. 60,000

[User]
if the product of two numbers is 82500 and their h. c. f. is 55, find their l. c. m.
Answer the question using a single word or phrase.

[Assistant] 1500

[User]
tabby is training for a triathlon. she swims at a speed of 1 mile per hour. she runs at a speed of 8 miles per hour. she wants to figure out her average speed for these two events. what is the correct answer for her?
Answer the question using a single word or phrase.

[Assistant] 4.5 mph


[User]
the average age of boys in a class is 16 years and that of the girls is 15 years. what is the average age for the whole class?
Answer the question using a single word or phrase.

[Assistant] insufficient data

[User]
there were totally 100 men. 84 are married. 75 have t. v, 85 have radio, 70 have a. c. how many men have t. v, radio, a. c and also married?
Answer the question using a single word or phrase.

[Assistant] 14

[User]
excluding stoppages, the average speed of a bus is 60 km / hr and including stoppages, the average speed of the bus is 35 km / hr. for how many minutes does the bus stop per hour?
Answer the question using a single word or phrase.

[Assistant] 24

[User]
one paper sheet can be used to create 8 paper boats or 6 paper planes. if total exact 80 paper toys are to be made, minimum how many sheets need to be used to make paper boats?
Answer the question using a single word or phrase.

[Assistant] 1

[User]
the h. c. f. of two numbers is 12 and their l. c. m. is 600. if one of the number is 60, find the other?
Answer the question using a single word or phrase.

[Assistant] 120


[User]
a bag of potatoes weighs 16 kg divided by a quarter of its weight. how much does the bag weigh?
Answer the question using a single word or phrase.

[Assistant] 8 kg

[User]
the cost price of a radio is rs. 1590 and it was sold for rs. 1450, find the loss %?
Answer the question using a single word or phrase.

[Assistant] 8 %

[User]
a retailer bought a machine at a wholesale price of $ 90 and later on sold it after a 10 % discount of the retail price. if the retailer made a profit equivalent to 20 % of the whole price, what is the retail price of the machine?
Answer the question using a single word or phrase.

[Assistant] 120

[User]
what is the least number should be added to 1056, so the sum of the number is completely divisible by 27?
Answer the question using a single word or phrase.

[Assistant] 24

[User]
if 30 % of the 880 students at a certain college are enrolled in biology classes, how many students at the college are not enrolled in a biology class?
Answer the question using a single word or phrase.

[Assistant] 616


[User]
the average of 9 observations was 9, that of the 1 st of 5 being 10 and that of the last 5 being 8. what was the 5 th observation?
Answer the question using a single word or phrase.

[Assistant] 9

[User]
in a certain company 20 % of the men and 40 % of the women attended the annual company picnic. if 30 % of all the employees are men. what % of all the employee went to the picnic?
Answer the question using a single word or phrase.

[Assistant] 34 %

[User]
30 is what percent of 100?
Answer the question using a single word or phrase.

[Assistant] 30 %

[User]
how many liters of a 40 % iodine solution need to be mixed with 35 liters of a 20 % iodine solution to create a 31 % iodine solution?
Answer the question using a single word or phrase.

[Assistant] 42

[User]
if k ^ 3 is divisible by 180, what is the least possible value of integer k?
Answer the question using a single word or phrase.

[Assistant] 30


[User]
a clock shows the time as 8 a. m. if the minute hand gains 5 minutes every hour, how many minutes will the clock gain by 6 p. m.?
Answer the question using a single word or phrase.

[Assistant] 50 minutes

[User]
a watch was sold at a loss of 12 %. if it was sold for rs. 140 more, there would have been a gain of 4 %. what is the cost price?
Answer the question using a single word or phrase.

[Assistant] s. 875

[User]
a vendor bought toffees at 6 for a rupee. how many for a rupee must he sell to gain 20 %?
Answer the question using a single word or phrase.

[Assistant] 5

[User]
ratio between rahul and deepak is 4 : 3, after 10 years rahul age will be 26 years. what is deepak present age
Answer the question using a single word or phrase.

[Assistant] 12

[User]
a man can row downstream at the rate of 10 km / hr and upstream at 4 km / hr. find man's rate in still water and the rate of current?
Answer the question using a single word or phrase.

[Assistant] 7,3


[User]
worker a takes 8 hours to do a job. worker b takes 12 hours to do the same job. how long it take both a & b, working together but independently, to do the same job?
Answer the question using a single word or phrase.

[Assistant] 24 / 5 days

[User]
denominator of a number is 4 less than the numerator. if 6 is added to the numerator, it becomes 3 times the denominator. find the denominator.
Answer the question using a single word or phrase.

[Assistant] 5

[User]
if m is an integer such that ( - 2 ) ^ 2 m = 2 ^ ( 3 - m ) then m =?
Answer the question using a single word or phrase.

[Assistant] 1

[User]
given a certain number ( x ), find x given that 5.76 is 12 % of 40 % of x?
Answer the question using a single word or phrase.

[Assistant] 120

[User]
a man sells an article at a profit of 25 %. if he had bought it at 20 % less and sold it for rs. 12.60 less, he would have gained 30 %. find the cost of the article.
Answer the question using a single word or phrase.

[Assistant] 60


[User]
a 270 m long train running at the speed of 120 km / hr crosses another train running in opposite direction at the speed of 80 km / hr in 9 sec. what is the length of the other train?
Answer the question using a single word or phrase.

[Assistant] 230

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

[Assistant] 4 : 5

[User]
a gardener wants to plant trees in his garden in such a way that the number of trees in each row should be the same. if there are 4 rows or 5 rows or 6 rows, then no tree will be left. find the least number of trees required
Answer the question using a single word or phrase.

[Assistant] 60

[User]
a batsman's avg in 12 innings is 24.00. if his avg is to be double of the no of innings ( 15 innings ), what should he score in the remaining 3 innings ( avg )?
Answer the question using a single word or phrase.

[Assistant] 144

[User]
in what time will a railway train 80 m long moving at the rate of 40 kmph pass a telegraph post on its way?
Answer the question using a single word or phrase.

[Assistant] 7.2


[User]
the number of people who purchased book a is twice the number of people who purchased book b. the number of people who purchased both books a and b is 500, which is twice the number of people who purchased only book b. what is the number of people z who purchased only book a?
Answer the question using a single word or phrase.

[Assistant] 1000

[User]
if the sum of two numbers is 20 and the sum of their squares is 200, then the product of the numbers is
Answer the question using a single word or phrase.

[Assistant] 100

[User]
ratio of two numbers x and y is 3 : 7. if x is increased by 50 % and y is increased by 2 then the new ratio becomes 1 : 2. what is the ratio 2 y : ( 2 x + 6 )
Answer the question using a single word or phrase.

[Assistant] 7 : 12

[User]
the sum of the ages of 4 children born at the intervals of 3 years each is 36 years. what is the age of the youngest child?
Answer the question using a single word or phrase.

[Assistant] 4.5

[User]
a certain number when divided by 39 leaves a remainder 16, what is the remainder when the same number is divided by 13?
Answer the question using a single word or phrase.

[Assistant] 3


[User]
a pump can fill a tank with water in 4 hours. because of a leak, it took 20 hours to fill the tank. the leak can drain all the water of the tank in?
Answer the question using a single word or phrase.

[Assistant] 5

[User]
suppose 5 monkeys take 5 minutes to eat 5 bananas. how many monkeys would it take to eat 15 bananas in 15 minutes?
Answer the question using a single word or phrase.

[Assistant] 5

[User]
what is the decimal equivalent of ( 1 / 4 ) ^ 6?
Answer the question using a single word or phrase.

[Assistant] 0.0002

[User]
3 men and 8 women complete a task in same time as 6 men and 2 women do. how much fraction of work will be finished in same time if 2 men and 2 women will do that task.
Answer the question using a single word or phrase.

[Assistant] 3 / 7

[User]
what is the remainder when the number 14 ^ 2 * 15 ^ 8 is divided by 5?
Answer the question using a single word or phrase.

[Assistant] 0


[User]
rahul played weel in this season. his current batting averagge is 52. if he score 78 runs in today match. his batting average will become 54. how many matches had he played in this season.
Answer the question using a single word or phrase.

[Assistant] 12

[User]
a container holding 12 ounces of a solution that is 1 part alcohol to 2 parts water is added to a container holding 9 ounces of a solution that is 1 part alcohol to 2 parts water. what is the ratio of alcohol to water in the resulting solution?
Answer the question using a single word or phrase.

[Assistant] 1 : 2

[User]
some of the 50 % solution of acid was removed and this was replaced with an equal amount of 20 % solution of acid. as a result, a 35 % solution of acid was obtained. what fraction of the original solution was replaced?
Answer the question using a single word or phrase.

[Assistant] 1 / 2

[User]
there are 202 lights which are functional and each is controlled by a separate on / off switch. two children a and b start playing with the switches. a starts by pressing every third switch till he reaches the end. b, thereafter, presses every fifth switch till he too reaches the end. if all switches were in off position at the beggining, how many lights are switched on by the end of this operation?
Answer the question using a single word or phrase.

[Assistant] 95

[User]
the maximum number of students among them 1048 pens and 828 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is :
Answer the question using a single word or phrase.

[Assistant] 4


[User]
a 6 by 8 rectangle is inscribed in circle. what is the circumference of the circle?
Answer the question using a single word or phrase.

[Assistant] 10 π

[User]
if all the 6 are replaced by 9, then the algebraic sum of all the numbers from 1 to 100 ( both inclusive ) varies by
Answer the question using a single word or phrase.

[Assistant] 330

[User]
a boy is travelling from his home to school at 3 km / hr and reached 7 min late. next day he traveled at 12 km / hr and reached 8 min early. distance between home and school?
Answer the question using a single word or phrase.

[Assistant] 1 km

[User]
a gold purification process cycle, is able to remove 1 / 16 of impurities in gold. if we have a 10 grams of gold ore dust containing 16 / 24 pure gold. how much impurities would have been removed from that old after 4 cycles of purification using that method?
Answer the question using a single word or phrase.

[Assistant] 0.76

[User]
if f ( x ) = 2 x ^ 2 + y, and f ( 2 ) = 20, what is the value of f ( 5 )?
Answer the question using a single word or phrase.

[Assistant] 62


[User]
find compound interest on $ 16000 at 15 % per annum for 2 years 4 months, compounded annually.
Answer the question using a single word or phrase.

[Assistant] 6218

[User]
calculate the circumference of a circular field whose radius is 8 centimeters.
Answer the question using a single word or phrase.

[Assistant] 16 π cm

[User]
the average score in an examination of 10 students of a class is 60. if the scores of the top 5 students are not considered, the average score of the remaining students falls by 5. the pass mark was 40 and the maximum mark was 100. it is also known that none of the students failed. if each of the top 5 scorers had distinct integral scores, the maximum possible score of the topper is......
Answer the question using a single word or phrase.

[Assistant] 99

[User]
5 + 3 + 2 = 151022 9 + 2 + 4 = 183652 8 + 6 + 3 = 482466 5 + 4 + 5 = 202541 then ; 7 + 2 + 5 =?
Answer the question using a single word or phrase.

[Assistant] 143547

[User]
on a map, 1.5 inches represent 24 miles. how many miles approximately is the distance if you measured 45 centimeters assuming that 1 - inch is 2.54 centimeters?
Answer the question using a single word or phrase.

[Assistant] 283


[User]
calculate the ratio between x and y if 80 % of x equal to 20 % of y?
Answer the question using a single word or phrase.

[Assistant] 4 : 1

[User]
the remainder of the division of a number by 63 is 27. what will be the remainder when that number is divided by 6? please explain
Answer the question using a single word or phrase.

[Assistant] 0

[User]
a cistern which could be filled in 9 hours takes one 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?
Answer the question using a single word or phrase.

[Assistant] 90 hrs

[User]
how many odd numbers between 10 and 1600 are the squares of integers?
Answer the question using a single word or phrase.

[Assistant] 18

[User]
aaron will jog from home at 6 miles per hour and then walk back home by the same route at 12 miles per hour. how many miles from home can aaron jog so that he spends a total of 3 hours jogging and walking?
Answer the question using a single word or phrase.

[Assistant] 12


[User]
a certain psychologist charges $ 25 more for the first hour of therapy than for each additional hour. if the total charge to a patient who receives 5 hours of therapy is $ 250, what is the total charge to a patient who receives only 2 hours of therapy?
Answer the question using a single word or phrase.

[Assistant] $ 115

[User]
there are 8 stores in town that had a total of 23 visitors on a particular day. however, only 12 people went shopping that day ; some people visited more than one store. if 8 people visited exactly two stores each, and everyone visited at least one store, what is the largest number of stores anyone could have visited?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
if difference between compound interest and simple interest on a sum at 10 % p. a. for 2 years is rs. 61 then sum is
Answer the question using a single word or phrase.

[Assistant] s. 6100

[User]
a sum of money at simple interest amounts to rs. 815 in 4 years and to rs. 854 in 5 years. the sum is :
Answer the question using a single word or phrase.

[Assistant] 659

[User]
according to the directions on a can of frozen orange juice concentrate, 1 can of concentrate is to be mixed with 4 cans of water to make orange juice. how many 12 ounce cans of concentrate are required to prepare 120 6 - ounce servings of orange juice?
Answer the question using a single word or phrase.

[Assistant] 12


[User]
at a certain restaurant, the price of a sandwich is $ 4.00 more than the price of a cup of coffee. if the price of a sandwich and a cup of coffee is $ 7.35, including a sales tax of 5 %, what is the price of a cup of coffee, excluding the sales tax?
Answer the question using a single word or phrase.

[Assistant] $ 1.50

[User]
if a, b, c, d, e and f are integers and ( ab + cdef ) < 0, then what is the maximum number a of integers that can be negative?
Answer the question using a single word or phrase.

[Assistant] 5

[User]
ritesh and co. generated revenue of rs. 1,500 in 2006. this was 12.5 % of its gross revenue. in 2007, the gross revenue grew by rs. 2,500. what is the percentage increase in the revenue in 2007?
Answer the question using a single word or phrase.

[Assistant] 20.83 %

[User]
if x is a number such that x ^ 2 + 4 x - 5 = 0 and x ^ 2 - 5 x + 4 = 0, then x =
Answer the question using a single word or phrase.

[Assistant] 1

[User]
if the ratio of two number is 3 : 4 and lcm of the number is 180 then what is the number.
Answer the question using a single word or phrase.

[Assistant] 15


[User]
calculate the average marks of a student who obtained 56, 60, 72, 85 and 80 marks ( out of 100 ) in geography, history and government, art, computer science and modern literature?
Answer the question using a single word or phrase.

[Assistant] 70.6

[User]
find the 21 th term of an arithmetic progression whose first term is 3 and the common difference is 5.
Answer the question using a single word or phrase.

[Assistant] 103

[User]
in δ pqs above, if pq = 6 and ps = 7, then
Answer the question using a single word or phrase.

[Assistant] 21 / 4

[User]
it was calculated that 75 men could complete a piece of work in 30 days. when work was scheduled to commence, it was found necessary to send 25 men to another project. how much longer will it take to complete the work?
Answer the question using a single word or phrase.

[Assistant] 45 days.

[User]
a committee is reviewing a total of 20 x black - and - white films and 6 y color films for a festival. if the committee selects y / x % of the black - and - white films and all of the color films, what fraction w of the selected films are in color?
Answer the question using a single word or phrase.

[Assistant] 30 / 31


[User]
a train of 45 carriages, each of 60 meters length, when an engine also of 60 meters length is running at a speed of 60 kmph. in what time will the train cross a bridge 1.5 km long?
Answer the question using a single word or phrase.

[Assistant] 4.2

[User]
mike needs 30 % to pass. if he scored 212 marks and falls short by 13 marks, what was the maximum marks he could have got?
Answer the question using a single word or phrase.

[Assistant] 750

[User]
a merchant gets a 5 % discount on each meter of fabric he buys after the first 2,000 meters and a 7 % discount on every meter after the next 1,500 meters. the price, before discount, of one meter of fabric is $ 2, what is the total amount of money the merchant spends on 7,000 meters of fabric?
Answer the question using a single word or phrase.

[Assistant] $ 13,360

[User]
when 100 is divided by positive integer x, the remainder is 4. what is the remainder when 196 is divided by x?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
a fair price shopkeeper takes 10 % profit on his goods. he lost 50 % goods during theft. his loss percent is :
Answer the question using a single word or phrase.

[Assistant] 45 %


[User]
a sum was put a simple interest at a certain rate for 4 years. had it been put at 3 % higher rate, it would have fetched rs. 120 more. the sum is :
Answer the question using a single word or phrase.

[Assistant] s. 1000

[User]
√ ( 14 ) ^ 2
Answer the question using a single word or phrase.

[Assistant] 14

[User]
in a graduating class of 236 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] 117

[User]
bruce purchased 8 kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg. how much amount did he pay to the shopkeeper?
Answer the question using a single word or phrase.

[Assistant] 1055

[User]
initially, the men and women in a room were in the ratio of 4 : 5. then, 2 men entered the room and 3 women left the room. then, the number of women doubled. now there are 14 men in the room. how many r women are currently in the room?
Answer the question using a single word or phrase.

[Assistant] 24


[User]
paul's salary was decreased by 50 % and subsequently increased by 50 %. how much percent does he lose?
Answer the question using a single word or phrase.

[Assistant] 25

[User]
a certain list consists of 21 different numbers. if n is in the list and n is 4 times the average ( arithmetic mean ) of the other 20 numbers in the list, then n is what fraction u of the sum of the 21 numbers in the list?
Answer the question using a single word or phrase.

[Assistant] 1 / 6

[User]
if an object travels 80 feet in 4 seconds, what is the object ’ s approximate speed in miles per hour? ( note : 1 mile = 5280 feet )
Answer the question using a single word or phrase.

[Assistant] 13.64

[User]
two different primes may be said torhymearound an integer if they are the same distance from the integer on the number line. for instance, 3 and 7 rhyme around 5. what integer t between 1 and 20, inclusive, has the greatest number of distinct rhyming primes around it?
Answer the question using a single word or phrase.

[Assistant] t = 18

[User]
what is the greatest prime factor of 42 ^ 2 + 75 ^ 2 + 6300
Answer the question using a single word or phrase.

[Assistant] 13


[User]
12 men can complete a piece of work in 30 days. in how many days can 10 men complete that piece of work?
Answer the question using a single word or phrase.

[Assistant] 36

[User]
if a - b = 4 and a ^ 2 + b ^ 2 = 80, find the value of ab
Answer the question using a single word or phrase.

[Assistant] 32

[User]
in the xy - plane the point ( - 2 - 3 ) is the centre of a circle, the point ( - 2, 3 ) lies inside the circle and the point ( 6, - 3 ) lies outside the circle. if the radius r of the circle r is an integer then r =
Answer the question using a single word or phrase.

[Assistant] 7

[User]
the timing of a college is from 11 p. m to 4.20 p. m. five lectures are held in the given duration and a break of 5 minutes after each lecture is given to the students. find the duration of each lecture.
Answer the question using a single word or phrase.

[Assistant] 52 minutes

[User]
efrida and frazer who live 10 miles apart, meet at a restaurant that is directly north of efrida's home and directly east of frazer's home. if the restaurant is three miles closer to efrida's home, than to frazer's home, how many miles is the restaurant from frazer's home?
Answer the question using a single word or phrase.

[Assistant] 7


[User]
a man performs 3 / 5 of the total journey by rail, 17 / 20 by bus and the remaining 6.5 km on foot. his total journey is?
Answer the question using a single word or phrase.

[Assistant] 130

[User]
find the fraction which has the same ratio to 2 / 3 that 3 / 5 has to 6 / 7
Answer the question using a single word or phrase.

[Assistant] 7 / 15

[User]
how many of the positive divisors g of 120 are also multiples of 4 not including 120?
Answer the question using a single word or phrase.

[Assistant] 7.

[User]
( 9568422 x 558 ) =?
Answer the question using a single word or phrase.

[Assistant] 5339179476

[User]
in a certain math department, students are required to enroll in either calculus or trigonometry, each of which is offered in beginner and advanced courses. the number of students enrolled in trigonometry is 50 % greater than the number of students enrolled in calculus, and 70 % of calculus students are enrolled in the beginner course. if 4 / 5 of students are in the beginner courses, and one student is selected at random, what is the probability that an advanced trigonometry student is selected?
Answer the question using a single word or phrase.

[Assistant] 8 %


[User]
the average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 70 kg. what is the weight of the new person?
Answer the question using a single word or phrase.

[Assistant] 90

[User]
a can contains a mixture of liquids a and b is the ratio 7 : 5. when 9 litres of mixture are drawn off and the can is filled with b, the ratio of a and b becomes 7 : 9. how many liter m of liquid a was contained by the can initially?
Answer the question using a single word or phrase.

[Assistant] 21

[User]
a train running at the speed of 120 km / hr crosses a pole in 12 seconds. what is the length of the train?
Answer the question using a single word or phrase.

[Assistant] 400 m

[User]
the function f ( y ) represents the number of ways that prime numbers can be uniquely summed to form a certain number y such that y = a + b + c + d … where those summed variables are each prime and a ≤ b ≤ c ≤ d... for instance f ( 8 ) = 3 and the unique ways are 2 + 2 + 2 + 2 and 2 + 3 + 3 and 3 + 5. what is f ( 12 )?
Answer the question using a single word or phrase.

[Assistant] 7

[User]
what is the remainder when 220 * 165 * 110 * 55 is divided by 15?
Answer the question using a single word or phrase.

[Assistant] 10


[User]
a person can swim in still water at 20 km / h. if the speed of water 12 km / h, how many hours will the man take to swim back against the current for 40 km?
Answer the question using a single word or phrase.

[Assistant] 5

[User]
a person was asked to state his age in years. his reply was, ` ` take my age 3 years hence, multiply it by 3 and subtract 3 times my age 3 years ago and you will know how old i am. ''what was the age of the person?
Answer the question using a single word or phrase.

[Assistant] 18

[User]
the average weight of 10 men is increased by 1 ½ kg when one of the men who weighs 48 kg is replaced by a new man. what is the weight of the new man?
Answer the question using a single word or phrase.

[Assistant] 63 kg

[User]
a man rows his boat 105 km downstream and 45 km upstream, taking 2 1 / 2 hours each time. find the speed of the stream?
Answer the question using a single word or phrase.

[Assistant] 12 kmph

[User]
a can do a job in 20 days and b can do it in 30 days. a and b working together will finish twice the amount of work in - - - - - - - days?
Answer the question using a single word or phrase.

[Assistant] 24 days


[User]
if the average of 744, 745, 747, 748, 749, 752, 752, 753, 755 and x is 750, what is the value of x?
Answer the question using a single word or phrase.

[Assistant] 755

[User]
the ratio, by volume, of soap to alcohol to water in a certain solution is 2 : 50 : 100. the solution will be altered so that the ratio of soap to alcohol is doubled while the ratio of soap to water is halved. if the altered solution will contain 100 cubic centimeters of alcohol, how many cubic centimeters of water will it contain?
Answer the question using a single word or phrase.

[Assistant] 800

[User]
if n is a positive integer and n ^ 2 is divisible by 72, then the largest positive integer that must divide n is
Answer the question using a single word or phrase.

[Assistant] 12

[User]
little john had $ 20.10. he spent $ 1.05 on sweets and gave to his two friends $ 1.00 each. how much money was left?
Answer the question using a single word or phrase.

[Assistant] $ 17.05

[User]
a small pool filled only with water will require an additional 300 gallons of water in order to be filled to 80 % of its capacity. if pumping in these additional 300 gallons of water will increase the amount of water in the pool by 30 %, what is the total capacity of the pool in gallons?
Answer the question using a single word or phrase.

[Assistant] 1625


[User]
the area of sector of a circle whose radius is 12 metro and whose angle at the center is 30 еў is?
Answer the question using a single word or phrase.

[Assistant] 37 m 2

[User]
there are two positive numbers in the ratio 3 : 11. if the larger number exceeds the smaller by 32, then what is the smaller number?
Answer the question using a single word or phrase.

[Assistant] 12

[User]
there are 200 female managers in a certain company. find the total number t of female employees in the company, if 2 / 5 of all the employees are managers and 2 / 5 of all male employees are managers.
Answer the question using a single word or phrase.

[Assistant] t = 500

[User]
60 + 5 * 12 / ( 180 / 3 ) =?
Answer the question using a single word or phrase.

[Assistant] 61

[User]
to a sugar solution of 3 liters containing 40 % sugar, one liter of water is added. the percentage of sugar in the new solution is?
Answer the question using a single word or phrase.

[Assistant] 30 %


[User]
a and b r 2 men who enter into business and they invest rs 1000, rs 2000 respectively. how will they divide the income of rs 5000
Answer the question using a single word or phrase.

[Assistant] 33331666

[User]
if the operation ø is defined for all positive integers x and w by x ø w = ( 2 ^ x ) / ( 2 ^ w ) then ( 4 ø 2 ) ø 3 =?
Answer the question using a single word or phrase.

[Assistant] 2

[User]
a survey was taken among 100 brainiacs. of those surveyed, twice as many brainiacs likerebus teasers as math teasers. if 18 brainiacs like both rebus teasers and math teasers and 4 like neither kind of teaser, how many brainiacs like math teasers but not rebus teasers?
Answer the question using a single word or phrase.

[Assistant] 20

[User]
in a certain pond, 80 fish were caught, tagged, and returned to the pond. a few days later, 80 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 is the approximate number of fish in the pond?
Answer the question using a single word or phrase.

[Assistant] 3,200

[User]
x is a positive integer of t less than 500. 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?
Answer the question using a single word or phrase.

[Assistant] 24


[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. 1400 per sq. metre.
Answer the question using a single word or phrase.

[Assistant] rs. 28875

[User]
in a rectangular box measuring 12 inches by 14 inches by 16 inches if small rectangular boxes measuring 3 inches by 7 inches by 2 inches are arranged in it, what is the max number of boxes that fit into it?
Answer the question using a single word or phrase.

[Assistant] 64

[User]
ashis's height is 25 % more than babji, by how much percent babji's height is less than ashis.
Answer the question using a single word or phrase.

[Assistant] 20 %

[User]
what is the difference between the place value and the face value of 7 in the numeral 297832?
Answer the question using a single word or phrase.

[Assistant] 5993

[User]
in a graduating class, 40 percent of the students are male. in this class, 40 percent of the male students and 20 percent of the female students are 25 years old or older. if one student in the class is randomly selected, approximately what is the probability that he or she will be less than 25 years old?
Answer the question using a single word or phrase.

[Assistant] 0.72


[User]
what is the least number to be subtracted from 696 to make it a perfect square?
Answer the question using a single word or phrase.

[Assistant] 20

[User]
if the remainder is 12 when the integer n is divided by 22, what is the remainder when 2 n is divided by 11?
Answer the question using a single word or phrase.

[Assistant] 2

[User]
the average marks of a class of 30 students is 40 and that of another class of 50 students is 80. find the average marks of all the students?
Answer the question using a single word or phrase.

[Assistant] 65

[User]
a jar contains a mixture of a & b in the ratio 4 : 1. when 10 l of mixture is replaced with liquid b, ratio becomes 2 : 3. how many liters of liquid a was present in mixture initially.
Answer the question using a single word or phrase.

[Assistant] 16

[User]
at an m & m factory, two types of m & ms are produced, red and blue. the m & ms are transported individually on a conveyor belt. anna is watching the conveyor belt, and has determined that 4 out of every 5 red m & ms are followed by a blue one, while one out of every 6 blue m & ms is followed by a red one. what proportion of the m & ms are red?
Answer the question using a single word or phrase.

[Assistant] 5 / 29


[User]
in a certain corporation, there are 300 male employees and 150 female employees. it is known that 50 % of the male employees have advanced degrees and 40 % of the females have advanced degrees. if one of the 450 employees is chosen at random, what is the probability this employee has an advanced degree or is female?
Answer the question using a single word or phrase.

[Assistant] 2 / 3

[User]
ravi and kavi start a business by investing â ‚ ¹ 5000 and â ‚ ¹ 72000, respectively. find the ratio of their profits at the end of year.
Answer the question using a single word or phrase.

[Assistant] 5 : 72

[User]
if a ( a + 2 ) = 99 and b ( b + 2 ) = 99, where a ≠ b, then a + b =
Answer the question using a single word or phrase.

[Assistant] - 2

[User]
three numbers are in the ratio 5 : 4 : 6 and their average is 750. the largest number is :
Answer the question using a single word or phrase.

[Assistant] 900

[User]
by selling 18 pencils for a rupee a man loses 20 %. how many for a rupee should he sell in order to gain 20 %?
Answer the question using a single word or phrase.

[Assistant] 12


[User]
find the average of all numbers between 3 and 69 which are divisible by 5
Answer the question using a single word or phrase.

[Assistant] 35

[User]
if x is a sum of all even integers on the interval 13... 63 and y is their number, what is the gcd ( x, y )?
Answer the question using a single word or phrase.

[Assistant] 25

[User]
joe invested a certain sum of money in a simple interest bond whose value grew to $ 260 at the end of 3 years and to $ 360 at the end of another 5 years. what was the rate of interest in which he invested his sum?
Answer the question using a single word or phrase.

[Assistant] 10 %

[User]
a cuban cigar would cost 3 dollar less than 1.5 times a french cigar, had the french cigar cost 0.7 dollar less than it does now. an arabian cigar costs 50 cents more than 1.5 times the cuban cigar. the 3 cigars together cost 74.7 dollars. what is the price of the french cigar?
Answer the question using a single word or phrase.

[Assistant] 14.7 $.

[User]
the salary of a worker is first increased by 15 % and afterwards reduced by 15 %. what is the net change in the worker's salary?
Answer the question using a single word or phrase.

[Assistant] 2.25 % decrease


[User]
a company decreased the price of its main product by 25 %. subsequently, the number of units sold increased such that the total revenue remained unchanged. what was the ratio of the percent increase in the units sold to the percent decrease of the original price for this product?
Answer the question using a single word or phrase.

[Assistant] 4.0

[User]
a firm is comprised of partners and associates in a ratio of 2 : 63. if 35 more associates were hired, the ratio of partners to associates would be 1 : 34. how many partners are currently in the firm?
Answer the question using a single word or phrase.

[Assistant] 14

[User]
carol and jordan draw rectangles of equal area. if carol's rectangle measures 12 inches by 15 inches and jordan's rectangle is 9 inches long, how wide is jordan's rectangle, in inches?
Answer the question using a single word or phrase.

[Assistant] 20

[User]
x starts a business with rs. 45000. y joins in the business after 6 months with rs. 30000. what will be the ratio in which they should share the profit at the end of the year?
Answer the question using a single word or phrase.

[Assistant] 3 : 1

[User]
sam invested $ 1000 @ 20 % per annum for one year. if the interest is compounded half yearly, then the amount received by sam at the end of the year will be?
Answer the question using a single word or phrase.

[Assistant] $ 1210