[User]
9773 + x = 13200, then x is?
Answer the question using a single word or phrase.

[Assistant] 3427

[User]
when 5 + 6 = 305, 6 + 7 = 425, 7 + 8 = 565, then 8 + 9 =?
Answer the question using a single word or phrase.

[Assistant] 725

[User]
the population of a town is 7800. it decreases annually at the rate of 10 % p. a. what was its population 2 years ago?
Answer the question using a single word or phrase.

[Assistant] 9600

[User]
when the positive integer x is divided by 9, the remainder is 5. what is the remainder when 4 x is divided by 9?
Answer the question using a single word or phrase.

[Assistant] 2

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

[Assistant] 16


[User]
the floor of a rectangular room is 21 m long and 12 m wide. the room is surrounded by a veranda of width 2 m on all its sides. the area of the veranda is :
Answer the question using a single word or phrase.

[Assistant] 148 m 2

[User]
two bullet trains of equal lengths take 10 seconds and 20 seconds respectively to cross a telegraph post. if the length of each bullet train be 120 metres, in what time ( in seconds ) will they cross each other travelling in opposite direction?
Answer the question using a single word or phrase.

[Assistant] 13.3 sec.

[User]
in a tree, 3 / 7 of the birds are robins while the rest are bluejays. if 1 / 3 of the robins are female and 3 / 5 of the bluejays are female, what fraction of the birds in the tree are male?
Answer the question using a single word or phrase.

[Assistant] 18 / 35

[User]
the length of a rectangular landscape is 8 times its breadth. there is a playground in it whose area is 1200 square mtr & which is 1 / 6 rd of the total landscape. what is the length of the landscape?
Answer the question using a single word or phrase.

[Assistant] 240

[User]
ratio and proportion 215 : 474 : : 537 :?
Answer the question using a single word or phrase.

[Assistant] 26


[User]
sheila works 8 hours per day on monday, wednesday and friday, and 6 hours per day on tuesday and thursday. she does not work on saturday and sunday. she earns $ 288 per week. how much does she earn in dollars per hour?
Answer the question using a single word or phrase.

[Assistant] 8

[User]
a statue is being carved by a sculptor. the original piece of marble weighed 200 kg. in the first week 20 percent is cut away. in the second week 25 percent of the remainder is cut away. in the third week the statue is completed when 35 percent of the remainder is cut away. what is the weight of the final statue?
Answer the question using a single word or phrase.

[Assistant] 97.5 kg

[User]
an offshore company sells two products, l and m. last year, seventy percent of the units sold were product l, and the price of product l was 25 percent greater than the price of product m. approximately what percent of the total revenue the company received last year was from the sale of product l?
Answer the question using a single word or phrase.

[Assistant] 74 %

[User]
if x, y, and z are positive integers, and 4 x = 5 y = 8 z, then the least possible value of x + y + z is
Answer the question using a single word or phrase.

[Assistant] 23

[User]
find the principal which yields a simple interest of rs. 20 and compound interest of rs. 28 in two years, at the same percent rate per annum?
Answer the question using a single word or phrase.

[Assistant] s. 25


[User]
joshua and jose work at an auto repair center with 2 other workers. for a survey on health care insurance, 2 of the 6 workers will be randomly chosen to be interviewed. what is the probability that joshua and jose will both be chosen?
Answer the question using a single word or phrase.

[Assistant] 1 / 6

[User]
in a certain accounting class of 100 students, 70 % of the students took the final exam on the assigned day while the rest of the students took the exam on a make - up date. if the students on the assigned day had an average score of 60 %, and the students on the make - up date had an average score of 90 %, what was the average score for the entire class?
Answer the question using a single word or phrase.

[Assistant] 69 %

[User]
of 90 applicants for a job, 42 had at least 4 years'experience, 54 had degrees, and 8 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] 14

[User]
a shopkeeper sold an article at $ 1110 and gained a 20 % profit. what was the cost price?
Answer the question using a single word or phrase.

[Assistant] $ 925

[User]
two trains running in opposite directions cross a pole placed on the platform in 47 seconds and 31 seconds respectively. if they cross each other in 33 seconds, what is the ratio of their speeds?
Answer the question using a single word or phrase.

[Assistant] 1 : 7


[User]
if 25 % of a class averages 80 % on a test, 50 % of the class averages 65 % on the test, and the remainder of the class averages 90 % on the test, what is the overall class average?
Answer the question using a single word or phrase.

[Assistant] 75 %

[User]
a dog is tied to a tree by a long nylon cord. if the dog runs from the due north side of the tree to the due south side of the tree with the cord extended to its full length at all items, and the dog ran approximately 30 feet, what was the approximate length of the nylon cord s, in feet?
Answer the question using a single word or phrase.

[Assistant] 10

[User]
if xy > 0, 1 / x + 1 / y = 6, and 1 / xy = 12, then ( x + y ) / 6 =?
Answer the question using a single word or phrase.

[Assistant] 1 / 12

[User]
how many 4 digit numbers have no repeat digits, do not contain zero, and have a sum of digits d equal to 28?
Answer the question using a single word or phrase.

[Assistant] 48

[User]
a basket contains 8 apples, of which 1 is spoiled and the rest are good. if we select 2 apples from the basket simultaneously and at random, what is the probability that the 2 apples selected will include the spoiled apple?
Answer the question using a single word or phrase.

[Assistant] 1 / 4


[User]
a train is 460 meter long is running at a speed of 45 km / hour. in what time will it pass a bridge of 140 meter length
Answer the question using a single word or phrase.

[Assistant] 48 seconds

[User]
of the 645 speckled trout in a certain fishery that contains only speckled and rainbow trout, the number of males is 45 more than twice the number of females. if the ratio of female speckled trout to male rainbow trout is 4 : 3 and the ratio of male rainbow trout to all trout is 3 : 20, how many female rainbow trout are there?
Answer the question using a single word or phrase.

[Assistant] 205

[User]
find compound interest on rs. 8000 at 15 % per annum for 2 years 4 months, compounded annually
Answer the question using a single word or phrase.

[Assistant] 3109

[User]
it costs $ 3 for the first 1 / 3 hour to use the laundry machine at the laundromat. after the first ¼ hour it costs $ 12 per hour. if a certain customer uses the laundry machine for 2 hours and 35 minutes, how much will it cost him?
Answer the question using a single word or phrase.

[Assistant] $ 32.

[User]
which number should replace both the asterisks in ( * / 21 ) x ( * / 84 ) = 1?
Answer the question using a single word or phrase.

[Assistant] 42


[User]
a train 140 m in length crosses a telegraph post in 16 seconds. the speed of the train is?
Answer the question using a single word or phrase.

[Assistant] 31.5 kmph

[User]
how much water must be added to 52 litres of milk at 1 1 ⁄ 2 litres for 20 so as to have a mixture worth 10 2 ⁄ 3 a litre?
Answer the question using a single word or phrase.

[Assistant] 13 litres

[User]
a train 500 m long takes 10 sec to cross a man walking at 5 kmph in a direction opposite to that of the train. find the speed of the train?
Answer the question using a single word or phrase.

[Assistant] 175 kmph

[User]
a card is drawn from a pack of 52 cards. the probability of getting a face card?
Answer the question using a single word or phrase.

[Assistant] 4 / 13

[User]
in what time will a railway train 90 m long moving at the rate of 44 kmph pass a telegraph post on its way?
Answer the question using a single word or phrase.

[Assistant] 7.4


[User]
in what ratio mental a at rs. 68 per kg be mixed with another metal at rs. 96 per kg so that cost of alloy ( mixture ) is rs. 72 per kg?
Answer the question using a single word or phrase.

[Assistant] 6 : 1

[User]
john was 43 years old when he married betty. they just celebrated their fifth wedding anniversary, and betty's age is now 7 / 8 of john's. how old is betty?
Answer the question using a single word or phrase.

[Assistant] 42

[User]
what is 120 % of 13 / 24 of 720?
Answer the question using a single word or phrase.

[Assistant] 468

[User]
a “ palindromic integer ” is an integer that remains the same when its digits are reversed. so, for example, 43334 and 516615 are both examples of palindromic integers. how many 6 - digit palindromic integers are both even and greater than 700,000?
Answer the question using a single word or phrase.

[Assistant] 100

[User]
mike took a taxi to the airport and paid $ 2.50 to start plus $ 0.25 per mile. annie took a different route to the airport and paid $ 2.50 plus $ 5.00 in bridge toll fees plus $ 0.25 per mile. if each was charged exactly the same amount, and annie's ride was 16 miles, how many miles was mike's ride?
Answer the question using a single word or phrase.

[Assistant] 36


[User]
if a man walks at a rate of 5 kmph, he misses a train by 7 minutes. however, if he walks at the rate of 6 kmph, he reaches the station 5 minutes before the arrival of the train. find the distance covered by him to reach the station.
Answer the question using a single word or phrase.

[Assistant] 6

[User]
the milk level in a rectangular box measuring 62 feet by 25 feet is to be lowered by 6 inches. how many gallons of milk must be removed? ( 1 cu ft = 7.5 gallons )
Answer the question using a single word or phrase.

[Assistant] 5812.5

[User]
the radius of a wheel is 22.4 cm. what is the distance covered by the wheel in making 320 resolutions?
Answer the question using a single word or phrase.

[Assistant] 450.6 m

[User]
what is 10 - 8 + 6 - 4 +... + ( - 12 )?
Answer the question using a single word or phrase.

[Assistant] 12

[User]
maxwell leaves his home and walks toward brad's house at the same time that brad leaves his home and runs toward maxwell's house. if the distance between their homes is 36 kilometers, maxwell's walking speed is 2 km / h, and brad's running speed is 4 km / h. what is the distance traveled by maxwell when they meet in the middle?
Answer the question using a single word or phrase.

[Assistant] 12


[User]
if 20 % of ( x - y ) = 15 % of ( x + y ), then what percent of x is y?
Answer the question using a single word or phrase.

[Assistant] 14.3 %

[User]
if a tap could fill entire tank in 18 hrs due to leakage, then in how much time tank can be emptied by leakage if tap can fill entire tank in 12 hrs without leakage?
Answer the question using a single word or phrase.

[Assistant] 36 hrs

[User]
what is the percentage increase in the area of a rectangle, if each of its sides is increased by 20 %?
Answer the question using a single word or phrase.

[Assistant] 44 %

[User]
the megatek corporation is displaying its distribution of employees by department in a circle graph. the size of each sector of the graph representing a department is proportional to the percentage of total employees in that department. if the section of the circle graph representing the manufacturing department takes up 252 ° of the circle, what percentage of megatek employees are in manufacturing?
Answer the question using a single word or phrase.

[Assistant] 70 %

[User]
in a 100 m race, a beats b by 10 m and c by 13 m. in a race of 180 m, b will beat c by :
Answer the question using a single word or phrase.

[Assistant] 6


[User]
the points a ( 0, 0 ), b ( 0, 4 a - 5 ) and c ( 2 a + 3, 2 a + 6 ) form a triangle. if angle abc = 90, what is the area of triangle abc?
Answer the question using a single word or phrase.

[Assistant] 119

[User]
jill works as a waitress at the local diner where she earns an hourly wage of $ 4.00 per hour and a standard tip rate of 15 % of the cost of the orders she serves. if she worked 3 8 - hour shifts this week and averaged $ 40 in orders per hour, how much did jill earn this week?
Answer the question using a single word or phrase.

[Assistant] 240

[User]
if a speaks the truth 85 % of the times, b speaks the truth 60 % of the times. what is the probability that they tell the truth at the same time
Answer the question using a single word or phrase.

[Assistant] 0.51

[User]
there are, in a certain league, 14 teams, and each team face another team for a total of 5 times. how many games are played in the season?
Answer the question using a single word or phrase.

[Assistant] 455

[User]
10 is added to a certain number, the sum is multiplied by 7, the product is divided by 5 and 5 is subtracted from the quotient. the remainder left is half of 88. what is the number?
Answer the question using a single word or phrase.

[Assistant] 25


[User]
a train speeds past a pole in 12 seconds and a platform 160 m long in 17 seconds. its length is?
Answer the question using a single word or phrase.

[Assistant] 384

[User]
a picnic attracts 240 persons. there are 40 more men than women, and 40 more adults than children. how many men are at this picnic?
Answer the question using a single word or phrase.

[Assistant] 90

[User]
two vessels contains equal number of mixtures milk and water in the ratio 4 : 1 and 7 : 3. both the mixtures are now mixed thoroughly. find the ratio of milk to water in the new mixture so obtained?
Answer the question using a single word or phrase.

[Assistant] 3 : 1

[User]
if x : y is 1 : 2 and y : z is 2 : 5 then x : z is equal to
Answer the question using a single word or phrase.

[Assistant] 1 : 5

[User]
if | x - 16 | = 2 x, then x =?
Answer the question using a single word or phrase.

[Assistant] - 16


[User]
in a 200 meter race a beats b by 35 meters in 7 seconds. a's time over the cause is?
Answer the question using a single word or phrase.

[Assistant] 33 sec

[User]
a life insurance company insured 25,000 young boys, 14,000 young girls and 16,000 young adults. the probability of death within 10 years of a young boy, young girl and a young adult are 0.02, 0.03 and 0.15 respectively. one insured person dies. what is the probability that the dead person is a young boy?
Answer the question using a single word or phrase.

[Assistant] 25 / 166

[User]
peter and tom shared the driving on a certain trip. if peter and tom both drove for the same amount of time, but peter only drove 3 / 5 of the total distance, what was the ratio of peter's average speed to tom's average speed?
Answer the question using a single word or phrase.

[Assistant] 3 : 2

[User]
jack and jill are marathon runners. jack can finish a marathon ( 42 km ) in 2.5 hours and jill can run a marathon in 4.2 hours. what is the ratio of their average running speed? ( jack : jill )
Answer the question using a single word or phrase.

[Assistant] 41 / 25

[User]
in a store, the total price for 20 shirts is $ 360 and the total price for 45 sweaters is $ 900. by how much does the average ( arithmetic mean ) price of a sweater exceed that of a shirt in this store?
Answer the question using a single word or phrase.

[Assistant] $ 2


[User]
a certain college's enrollment at the beginning of 1992 was 20 percent greater than it was at the beginning of 1991, and its enrollment at the beginning of 1993 was 10 percent greater than it was at the beginning of 1992. the college's enrollment at the beginning of 1993 was what percent greater than its enrollment at the beginning of 1991?
Answer the question using a single word or phrase.

[Assistant] 32 %

[User]
the average expenditure of a labourer for 8 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 is
Answer the question using a single word or phrase.

[Assistant] 95

[User]
in a fuel station the service costs $ 2.05 per car, every liter of fuel costs 0.6 $. assuming that you fill up 3 mini - vans and 2 trucks, how much money will the fuel cost to all the cars owners total, if a mini - van's tank is 65 liters and a truck's tank is 140 % bigger and they are all empty -?
Answer the question using a single word or phrase.

[Assistant] 314.45 $

[User]
66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. the length of the wire in metres will be :
Answer the question using a single word or phrase.

[Assistant] 84

[User]
if the cost price of 58 articles is equal to the selling price of 50 articles, then what is the percent profit?
Answer the question using a single word or phrase.

[Assistant] 16 %


[User]
a person is traveling at 20 km / hr and reached his destiny in 8 hr then find the distance?
Answer the question using a single word or phrase.

[Assistant] 160 km

[User]
at the wholesale store you can buy an 8 - pack of hot dogs for $ 1.55, a 20 - pack for $ 3.05, and a 250 - pack for $ 22.95. what is the greatest number of hot dogs you can buy at this store with $ 300?
Answer the question using a single word or phrase.

[Assistant] 3,250

[User]
a train 400 m long can cross an electric pole in 20 sec and then find the speed of the train?
Answer the question using a single word or phrase.

[Assistant] 72 kmph

[User]
two diesel trains of length 120 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. in what time will they be clear of each other from the moment they meet?
Answer the question using a single word or phrase.

[Assistant] 20 s

[User]
two trains start simultaneously from opposite ends of a 180 - km route and travel toward each other on parallel tracks. train x, traveling at a constant rate, completes the 180 - km trip in 5 hours. train y, travelling at a constant rate, completes the 180 - km trip in 4 hours. how many kilometers had train x traveled when it met train y?
Answer the question using a single word or phrase.

[Assistant] 80


[User]
maria bought 10 notebooks and 5 pens costing 2 dollars each. how much did maria pay?
Answer the question using a single word or phrase.

[Assistant] $ 30

[User]
a jogger running at 9 km / hr along side a railway track is 280 m ahead of the engine of a 120 m long train running at 45 km / hr in the same direction. in how much time will the train pass the jogger?
Answer the question using a single word or phrase.

[Assistant] 40 sec

[User]
what will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is rs. 55?
Answer the question using a single word or phrase.

[Assistant] s. 3740

[User]
in 10 years, a will be twice as old 5 as b was 10 years ago. if a is now 9 years older than b, the present age of b is
Answer the question using a single word or phrase.

[Assistant] 39 years

[User]
how many times hour hand covers full circle in a day?
Answer the question using a single word or phrase.

[Assistant] 2 times


[User]
if x ^ 2 + ( 1 / x ^ 2 ) = 3, x ^ 4 + ( 1 / x ^ 4 ) =?
Answer the question using a single word or phrase.

[Assistant] 7

[User]
how many integers between 400 and 1000 are there such that their unit digit is odd?
Answer the question using a single word or phrase.

[Assistant] 300

[User]
how many 4 - digit numbers contain no. 2?
Answer the question using a single word or phrase.

[Assistant] 98

[User]
a company pays 15.5 % dividend to its investors. if an investor buys rs. 50 shares and gets 25 % on investment, at what price did the investor buy the shares?
Answer the question using a single word or phrase.

[Assistant] 31

[User]
the average of first 6 prime numbers is?
Answer the question using a single word or phrase.

[Assistant] 6.83


[User]
jaya ranks 5 th in a class of 53. what is her rank from the bottom in the class?
Answer the question using a single word or phrase.

[Assistant] 49 th

[User]
if the weight of 10 meters long rod is 23.4 kg. what is the weight of 6 meters long rod?
Answer the question using a single word or phrase.

[Assistant] 14.04 kg.

[User]
a man owns 2 / 3 of market reserch beauro buzness, and sells 3 / 4 of his shares for 30000 rs, what is the value of buzness?
Answer the question using a single word or phrase.

[Assistant] 60000

[User]
the center of a circle lies on the origin of the coordinate plane. if a point ( x, y ) is randomly selected inside of the circle, what is the probability that y > x or x < 0?
Answer the question using a single word or phrase.

[Assistant] 5 / 8

[User]
at the opening of a trading day at a certain stock exchange, the price per share of stock k was $ 15. if the price per share of stock k was $ 16 at the closing of the day, what was the percent increase in the price per share of stock k for that day?
Answer the question using a single word or phrase.

[Assistant] 6.67 %


[User]
of the 70 house in a development, 50 have a two - car garage, 40 have an in - the - ground swimming pool, and 35 have both a two - car garage and an in - the - ground swimming pool. how many houses in the development have neither a two - car garage nor an in - the - ground swimming pool?
Answer the question using a single word or phrase.

[Assistant] 15

[User]
john and ingrid pay 30 % and 40 % tax annually, respectively. if john makes $ 57000 and ingrid makes $ 72000, what is their combined tax rate?
Answer the question using a single word or phrase.

[Assistant] 35.6 %

[User]
if a - b = 3 and a 2 + b 2 = 29, then find the value of ab
Answer the question using a single word or phrase.

[Assistant] 10

[User]
when greenville state university decided to move its fine arts collection to a new library, it had to package the collection in 20 - inch by 20 - inch by 15 - inch boxes. if the university pays $ 1.30 for every box, and if the university needs 3.06 million cubic inches to package the collection, what is the minimum amount the university must spend on boxes?
Answer the question using a single word or phrase.

[Assistant] $ 663

[User]
a tank is filled to one quarter of its capacity with a mixture consisting of water and sodium chloride. the proportion of sodium chloride in the tank is 50 % by volume and the capacity of the tank is 24 gallons. if the water evaporates from the tank at the rate of 0.5 gallons per hour, and the amount of sodium chloride stays the same, what will be the concentration of water in the mixture in 4 hours?
Answer the question using a single word or phrase.

[Assistant] 25 %


[User]
he ratio between the sale price and the cost price of an article is 4 : 7. what is the ratio between the profit and the cost price of that article?
Answer the question using a single word or phrase.

[Assistant] 3 : 7

[User]
a man covers a certain distance on bike. had he moved 4 kmph faster, he would have taken 72 minutes less. if he moves slow by 4 kmph, he will take hours more to cover the distance. what is the distance travelled by him?
Answer the question using a single word or phrase.

[Assistant] 96 km

[User]
excluding stoppages, the speed of a bus is 50 km / hr and including stoppages, it is 36 km / hr. for how many minutes does the bus stop per hour?
Answer the question using a single word or phrase.

[Assistant] 16 min

[User]
7 x + y = 19, and x + 3 y = 1. find the value of 2 x + y
Answer the question using a single word or phrase.

[Assistant] 5

[User]
what is the sum of the greatest common factor and the lowest common multiple of 12 and 16?
Answer the question using a single word or phrase.

[Assistant] 52


[User]
a person want to give his money of $ 3600 to his 3 children a, b, c in the ratio 2 : 3 : 4. what is the b's share?
Answer the question using a single word or phrase.

[Assistant] $ 1200

[User]
each week, harry is paid x dollars per hour for the first 24 hours and 1.5 x dollars for each additional hour worked that week. each week, james is paid x dollars per per hour for the first 40 hours and 2 x dollars for each additional hour worked that week. last week james worked a total of 41 hours if harry and james were paid the same amount last week, how many hours did harry work last week?
Answer the question using a single word or phrase.

[Assistant] 36

[User]
rs. 1600 is divided into two parts such that if one part is invested at 6 % and the other at 5 % the whole annual interest from both the sum is rs. 85. how much was lent at 5.00001 %?
Answer the question using a single word or phrase.

[Assistant] 1100

[User]
a box contains 10 tablets of medicine a and 16 tablets of medicine b. what is the least number of tablets that should be taken from the box to ensure that at least two tablets of each kind are among the extracted.
Answer the question using a single word or phrase.

[Assistant] 18

[User]
for any positive integer n, the sum of the first n positive integers equals n ( n + 1 ) / 2. what is the sum of all the even integers between 99 and 171?
Answer the question using a single word or phrase.

[Assistant] 4860


[User]
a train 3000 m long can cross an electric pole in 120 sec and then find the speed of the train?
Answer the question using a single word or phrase.

[Assistant] 90

[User]
at the wholesale store you can buy an 8 - pack of hot dogs for $ 1.55, a 20 - pack for $ 3.05, and a 500 - pack for $ 22.95. what is the greatest number of hot dogs you can buy at this store with $ 200?
Answer the question using a single word or phrase.

[Assistant] 4,100

[User]
a can give b 60 meters start and c 120 meters start in a kilometer race. how much start can b give c in a kilometer race?
Answer the question using a single word or phrase.

[Assistant] 63.83

[User]
from an island, it is possible to reach the mainland by either ferry p or ferry q. ferry p travels for 3 hours at 8 kilometers per hour, while ferry q takes a route that is three times longer. if ferry p is slower than ferry q by 1 kilometer per hour, how many hours longer is the journey of ferry q compared with the journey of ferry p?
Answer the question using a single word or phrase.

[Assistant] 5

[User]
n a certain flower shop, which stocks 4 types of flowers, there are 1 / 3 as many violets as carnations, and 1 / 4 as many tulips as violets. if there are equal numbers of roses and tulips, what percent of the flowers in the shop are carnations?
Answer the question using a single word or phrase.

[Assistant] 66.66


[User]
at a contest with 500 participants, 1 / 2 of the people are aged 28 to 32. next year, the number of people aged 28 to 32 will increase by 1 / 8. after this change, what percentage of the total 500 people will the 28 - to 32 - year - olds represent?
Answer the question using a single word or phrase.

[Assistant] 56.25 %

[User]
on a purchase of $ 130, a store offered a payment plan consisting of a $ 30 down payment and 12 monthly payments of $ 10 each. what percent of the purchase price, to the nearest tenth of a percent, did the customer pay in interest by using this plan?
Answer the question using a single word or phrase.

[Assistant] 23.1 %

[User]
the largest 4 digit number exactly divisible by 66 is?
Answer the question using a single word or phrase.

[Assistant] 9966

[User]
ashok secured average of 77 marks in 6 subjects. if the average of marks in 5 subjects is 74, how many marks did he secure in the 6 th subject?
Answer the question using a single word or phrase.

[Assistant] 92

[User]
roses can be purchased individually for $ 7.30, one dozen for $ 36, or two dozen for $ 50. what is the greatest number of roses that can be purchased for $ 680?
Answer the question using a single word or phrase.

[Assistant] 316


[User]
if the diameter of circle r is 20 % of the diameter of circle s, the area of circle r is what percent of the area of circle s?
Answer the question using a single word or phrase.

[Assistant] 4 %

[User]
walking with 4 / 5 of my usual speed, i arrive at the bus stop 9 minutes later than normal. how many minutes does it take to walk to the bus stop at my usual speed?
Answer the question using a single word or phrase.

[Assistant] 36

[User]
what will be the length of the mini - train, if it crosses a pole in 3 sec while travelling at a speed of 75 kmph?
Answer the question using a single word or phrase.

[Assistant] 62.5 m

[User]
if 4 x = 8 y = 12 z, then what is a possible sum of positive integers x, y, and z?
Answer the question using a single word or phrase.

[Assistant] 180

[User]
find a two digit number, given that the sum of the digits is 12 and the difference of the digits is 6.?
Answer the question using a single word or phrase.

[Assistant] 41


[User]
it takes joey the postman 1 hours to run a 3 mile long route every day. he delivers packages and then returns to the post office along the same path. if the average speed of the round trip is 6 mile / hour, what is the speed with which joey returns?
Answer the question using a single word or phrase.

[Assistant] 18

[User]
2056 x 987 =?
Answer the question using a single word or phrase.

[Assistant] 2029272

[User]
a rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. the area of the lawn is 2109 sq. m. what is the width of the road?
Answer the question using a single word or phrase.

[Assistant] 3 m

[User]
a train is moving at 6 / 7 of its usual speed. the train is 30 minutes too late. what is the usual time for the train to complete the journey?
Answer the question using a single word or phrase.

[Assistant] 3 hours

[User]
a volunteer organization is recruiting new members. in the fall they manage to increase their number by 5 %. by the spring however membership falls by 19 %. what is the total change in percentage from fall to spring?
Answer the question using a single word or phrase.

[Assistant] 14.95 %


[User]
two cars are driving toward each other. the first car is traveling at a speed of 90 km / h, which is 50 % faster than the second car's speed. if the distance between the cars is 975 km, how many hours will it take until the two cars meet?
Answer the question using a single word or phrase.

[Assistant] 6.5

[User]
find the annual income derived by investing $ 6800 in 40 % stock at 136.
Answer the question using a single word or phrase.

[Assistant] 2000

[User]
in 1982 and 1983, company b ’ s operating expenses were $ 12.0 million and $ 14.0 million, respectively, and its revenues were $ 15.6 million and $ 18.8 million, respectively. what was the percent increase in company b ’ s profit ( revenues minus operating expenses ) from 1982 to 1983?
Answer the question using a single word or phrase.

[Assistant] 33 1 / 3 %

[User]
what is the difference between local value & face value of 7 in the numeral 65793?
Answer the question using a single word or phrase.

[Assistant] 693

[User]
mike took a taxi to the airport and paid $ 2.50 to start plus $ 0.25 per mile. annie took a different route to the airport and paid $ 2.50 plus $ 5.00 in bridge toll fees plus $ 0.25 per mile. if each was charged exactly the same amount, and annie's ride was 14 miles, how many miles was mike's ride?
Answer the question using a single word or phrase.

[Assistant] 34


[User]
at 1 : 00 pm, a truck left city p and headed toward city q at a constant speed of 35 km / h. one hour later, a car left city q and headed toward city p along the same road at a constant speed of 40 km / h. if the distance between city p and city q is 335 km, at what time will the truck and the car meet each other?
Answer the question using a single word or phrase.

[Assistant] 6 : 00

[User]
a license plate in the country kerrania consists of 4 digits followed by two letters. the letters a, b, and c are used only by government vehicles while the letters d through z are used by non - government vehicles. kerrania's intelligence agency has recently captured a message from the country gonzalia indicating that an electronic transmitter has been installed in a kerrania government vehicle with a license plate starting with 79. if it takes the police 10 minutes to inspect each vehicle, what is the probability that the police will find the transmitter within 3 hours?
Answer the question using a single word or phrase.

[Assistant] 1 / 50

[User]
a particular library has 75 books in a special collection, all of which were in the library at the beginning of the month. these book are occasionally loaned out through an inter - library program. if, by the end of the month, 65 percent of books that were loaned out are returned and there are 61 books in the special collection at that time, how many books of the special collection were loaned out during that month?
Answer the question using a single word or phrase.

[Assistant] 40

[User]
one - sixth of the light switches produced by a certain factory are defective. 4 - fifths of the defective switches are rejected and 1 / 15 of the non defective switches are rejected by mistake. if all the switches not rejected are sold, what percent of the switches sold by the factory are defective?
Answer the question using a single word or phrase.

[Assistant] 4.1 %

[User]
a man buys a cycle for rs. 1600 and sells it at a loss of 12 %. what is the selling price of the cycle?
Answer the question using a single word or phrase.

[Assistant] 1408


[User]
at milk factory, each employee working the second shift produced 2 / 3 as many widgets as each employee working the first shift. if the first shift has 3 / 4 as many employees, what fraction of the total widgets did the second shift produce?
Answer the question using a single word or phrase.

[Assistant] 8 / 17

[User]
the cost of one photocopy is $ 0.02. however, a 25 % discount is offered on orders of more than 100 photocopies. if steve and david have to make 80 copies each, how much will each of them save if they submit a single order of 160 copies?
Answer the question using a single word or phrase.

[Assistant] $ 0.40

[User]
a sum of money is to be distributed among a, b, c, d in the proportion of 5 : 2 : 4 : 3. if c gets $ 500 more than d, what is a's share?
Answer the question using a single word or phrase.

[Assistant] $ 2500

[User]
when a certain tree was first planted, it was 4 feet tall, and the height of the tree increased by a constant amount each year for the next 6 years. at the end of the 6 th year, the tree was 1 / 7 taller than it was at the end of the 4 th year. by how many feet did the height of the tree increase each year?
Answer the question using a single word or phrase.

[Assistant] 2 / 5

[User]
a, b and c have rs. 500 between them, a and c together have rs. 200 and b and c rs. 350. how much does c have?
Answer the question using a single word or phrase.

[Assistant] 50


[User]
two trains are moving in the same direction at 72 kmph and 36 kmph. the faster train crosses a man in the slower train in 18 seconds. find the length of the faster train?
Answer the question using a single word or phrase.

[Assistant] 180

[User]
matt gets a $ 1,000 commission on a big sale. this commission alone raises his average commission by $ 150. if matt's new average commission is $ 550, how many sales has matt made?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
a man invested rs. 14400 in rs. 100 shares of a company at 20 % premium. if his company declares 5 % dividend at the end of the year, then how much does he get?
Answer the question using a single word or phrase.

[Assistant] 600

[User]
the distance between two cities a and b is 1140 km. a train starts from a at 8 a. m. and travel towards b at 60 km / hr. another train starts from b at 9 a. m and travels towards a at 75 km / hr. at what time do they meet?
Answer the question using a single word or phrase.

[Assistant] 05 pm

[User]
the sale price of an article including the sales tax is rs. 616. the rate of sales tax is 10 %. if the shopkeeper has made a profit of 15 %, then the cost price of the article is :
Answer the question using a single word or phrase.

[Assistant] 536


[User]
pipe a fills a swimming pool in 4 hours. pipe b empties the pool in 6 hours. if pipe a was opened at 7 : 00 am and pipe b at 8 : 00 am, at what time will the pool be full?
Answer the question using a single word or phrase.

[Assistant] 17 : 00

[User]
selling an kite for rs. 30, a shop keeper gains 35 %. during a clearance sale, the shopkeeper allows a discount of 10 % on the marked price. his gain percent during the sale is?
Answer the question using a single word or phrase.

[Assistant] 21.5 %

[User]
if the simple interest on a sum of money for 2 years at 5 % per annum is rs. 58, what is the compound interest on the same sum at the rate and for the same time?
Answer the question using a single word or phrase.

[Assistant] s. 59.45

[User]
if a = 105 and a ^ 3 = 21 × 25 × 45 × d, what is the value of d?
Answer the question using a single word or phrase.

[Assistant] 49

[User]
a present value of a machine is $ 40000. its value depletiation rate is 5 % per annum then find the machine value after 2 years?
Answer the question using a single word or phrase.

[Assistant] $ 36100


[User]
find the compound ratio of ( 3 : 4 ), ( 4 : 5 ) and ( 1 : 2 ) is
Answer the question using a single word or phrase.

[Assistant] 3 : 10

[User]
at veridux corporation, there are 218 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 135 male associates, how many female managers are there?
Answer the question using a single word or phrase.

[Assistant] 47

[User]
find a sum for 1 st 9 prime number's?
Answer the question using a single word or phrase.

[Assistant] 100

[User]
if d = 1 / ( 2 ^ 3 * 5 ^ 11 ) is expressed as a terminating decimal, how many nonzero digits will d have?
Answer the question using a single word or phrase.

[Assistant] three

[User]
a man is 25 years older than his son. in two years, his age will be twice the age of his son. the present age of the son is?
Answer the question using a single word or phrase.

[Assistant] 23


[User]
calculate the sum of first 89 natural numbers.
Answer the question using a single word or phrase.

[Assistant] 4005

[User]
a jogger running at 10 km / hr along side a railway track is 340 m ahead of the engine of a 120 m long train running at 46 km / hr in the same direction. in how much time will the train pass the jogger?
Answer the question using a single word or phrase.

[Assistant] 46 sec

[User]
an amount of rs. 10000 is invested in two types of shares. the first yields an interest of 9 % p. a and the second, 11 % p. a. if the total interest at the end of one year is 9 3 / 4 %, then the amount invested at 11 % was?
Answer the question using a single word or phrase.

[Assistant] 3750

[User]
the present population of a town is 300. population increase rate is 10 % p. a. find the population of town after 1 years?
Answer the question using a single word or phrase.

[Assistant] 330

[User]
in a race of 1000 m, a can beat by 100 m, in a race of 800 m, b can beat c by 100 m. by how many meters will a beat c in a race of 600 m?
Answer the question using a single word or phrase.

[Assistant] 127.5


[User]
today david, who is 40 years old, and his daughter, who is 12 years old, celebrate their birthdays. how many years will pass before david ’ s age is twice his daughter ’ s age?
Answer the question using a single word or phrase.

[Assistant] 16

[User]
( 17 ) 3.5 x ( 17 )? = 178
Answer the question using a single word or phrase.

[Assistant] 4.5

[User]
earl can stuff advertising circulars into envelopes at the rate of 36 envelopes per minutes and ellen requires a minutes and half to stuff the same number of envelops. working together, how long will it take earl and ellen to stuff 120 envelopes
Answer the question using a single word or phrase.

[Assistant] 2 minutes

[User]
if ( 400 ) ( 7000 ) = ( 28000 ) ( 100 ^ x ), what is the value of x?
Answer the question using a single word or phrase.

[Assistant] 1

[User]
having received his weekly allowance, john spent 3 / 5 of his allowance at the arcade. the next day he spent one third of his remaining allowance at the toy store, and then spent his last $ 0.64 at the candy store. what is john ’ s weekly allowance?
Answer the question using a single word or phrase.

[Assistant] $ 2.40


[User]
a book is bought for $ 600 and sold for $ 624. what is the profit in percentage?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
a store owner estimates that the average price of type a products will increase by 35 % next year and that the price of type b products will increase by 20 % next year. this year, the total amount aid for type a products was $ 3500 and the total price paid for type b products was $ 6300. 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] $ 12,285

[User]
a, b and c play a cricket match. the ratio of the runs scored by them in the match is a : b = 2 : 3 and b : c = 2 : 5. if the total runs scored by all of them are 75, the runs scored by a are?
Answer the question using a single word or phrase.

[Assistant] 12

[User]
two trains are moving in the same direction at 72 kmph and 36 kmph. the faster train crosses a man in the slower train in 10 seconds. find the length of the faster train?
Answer the question using a single word or phrase.

[Assistant] 100

[User]
a trader sells 78 meters of cloth for rs. 6788 at the profit of rs. 29 per metre of cloth. what is the cost price of one metre of cloth?
Answer the question using a single word or phrase.

[Assistant] 58


[User]
by selling an article at rs. 800, a shopkeeper makes a profit of 25 %. at what price should he sell the article so as to make a loss of 50 %?
Answer the question using a single word or phrase.

[Assistant] s. 320

[User]
a ( 8, w ^ 2 ) is the ( x, y ) coordinate of point located on the parabola y = x ^ 2 + 17. what is the value of w?
Answer the question using a single word or phrase.

[Assistant] 9.

[User]
on a certain transatlantic crossing, 40 percent of a ship ’ s passengers held round - trip tickets and also took their cars abroad the ship. if 50 percent of the passengers with round - trip tickets did not take their cars abroad the ship, what percent of the ship ’ s passengers held round - trip tickets?
Answer the question using a single word or phrase.

[Assistant] 80 %

[User]
if log 2 = 0.30103, the number of digits in 2128 is.
Answer the question using a single word or phrase.

[Assistant] 39

[User]
bag a contains red, white and blue marbles such that the red to white marble ratio is 1 : 3 and the white to blue marble ratio is 2 : 3. bag b contains red and white marbles in the ratio of 1 : 4. together, the two bags contain 40 white marbles. how many red marbles could be in bag a?
Answer the question using a single word or phrase.

[Assistant] 8


[User]
if a person walks at 5 km / hr instead of 4 km / hr, he would have walked 6 km more. the actual distance traveled by him is?
Answer the question using a single word or phrase.

[Assistant] 24

[User]
if tim had lunch at $ 60.80 and he gave 20 % tip, how much did he spend?
Answer the question using a single word or phrase.

[Assistant] $ 72.96

[User]
when asked what the time is, a person answered that the amount of time left is 1 / 3 of the time already completed. what is the time.
Answer the question using a single word or phrase.

[Assistant] 6 pm

[User]
a ladder 18 feet long is leaning against a wall that is perpendicular to level ground. the bottom of the ladder is 6 feet from the base of the wall. if the top of the ladder slips down 4 feet, how many feet will the bottom of the ladder slip?
Answer the question using a single word or phrase.

[Assistant] 12.5

[User]
if x is to be chosen at random from the set { 1, 2, 3, 4 } and y is to be chosen at random from the set { 5, 6, 7 }, what is the probability that xy will be even?
Answer the question using a single word or phrase.

[Assistant] 2 / 3


[User]
johnny makes $ 3.25 per hour at his work. if he works 8 hours, how much money will he earn?
Answer the question using a single word or phrase.

[Assistant] $ 26

[User]
an article is bought for rs. 1280 and sold for rs. 900, find the loss percent?
Answer the question using a single word or phrase.

[Assistant] 29 %

[User]
what is the rate percent when the simple interest on rs. 800 amount to rs. 160 in 3 years?
Answer the question using a single word or phrase.

[Assistant] 6.6 %

[User]
solve below question 2 x + 1 = - 17
Answer the question using a single word or phrase.

[Assistant] - 9

[User]
what is the difference between the largest number and the least number written with the digits 9, 3, 1, 2?
Answer the question using a single word or phrase.

[Assistant] 8082


[User]
if m and n are positive integer, and 1800 m = n ^ 3, what is the least possible value of m?
Answer the question using a single word or phrase.

[Assistant] 15

[User]
the moon revolves around the earth at a speed of approximately 1.04 kilometers per second. this approximate speed is how many kilometers per hour?
Answer the question using a single word or phrase.

[Assistant] 3,744

[User]
rates for having a manuscript typed at a certain typing service are $ 6 per page for the first time a page is typed and $ 3 per page each time a page is revised. if a certain manuscript has 100 pages, of which 30 were revised only once, 10 were revised twice, and the rest required no revisions, what was the total cost of having the manuscript typed?
Answer the question using a single word or phrase.

[Assistant] $ 690

[User]
a trader sells 85 meters of cloth for rs. 8925 at the profit of rs. 15 per metre of cloth. what is the cost price of one metre of cloth?
Answer the question using a single word or phrase.

[Assistant] rs. 98

[User]
20 % 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] 150


[User]
the length of a rectangular plot is 20 metres more than its breadth. if the cost of fencing the plot @ rs. 26.50 per metre is rs. 5830, what is the length of the plot in metres?
Answer the question using a single word or phrase.

[Assistant] 220

[User]
there is a train and car. the ratio between the speed of a train & a car is 16 : 15 respectively. also, a bus covered a distance of 480 km in 8 hours. the speed of the bus is 3 / 4 th of the speed of the train. how much distance will the car cover in 5 hours?
Answer the question using a single word or phrase.

[Assistant] 375 km

[User]
if a town of 65,000 people is growing at a rate of approx. 1 % per year, the population of the town in 5 years will be closest to?
Answer the question using a single word or phrase.

[Assistant] a. 66000

[User]
two trains, a and b, started simultaneously from opposite ends of a 75 - mile route and traveled toward each other on parallel tracks. train a, traveling at a constant rate, completed the 75 - mile trip in 3 hours ; train b, traveling at a constant rate, completed the 75 - mile trip in 2 hours. how many miles had train a traveled when it met train b?
Answer the question using a single word or phrase.

[Assistant] 30

[User]
in one alloy there is 12 % chromium while in another alloy it is 8 %. 15 kg of the first alloy was melted together with 30 kg of the second one to form a third alloy. find the percentage of chromium in the new alloy.
Answer the question using a single word or phrase.

[Assistant] 9.33 %


[User]
what is the remainder when 135 ^ 77 is divided by 7?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
the difference between a two - digit number and the number obtained by interchanging the positions of its digits is 45. what is the difference between the two digits of that number?
Answer the question using a single word or phrase.

[Assistant] 5

[User]
if 42.30 = k ( 14 + m / 50 ), where k and m are positive integers and m < 50, then what is the value of k + m?
Answer the question using a single word or phrase.

[Assistant] 8

[User]
a cube is painted red on all faces. it is then cut into 27 equal smaller cubes. how many j cubes are painted on only 2 faces?
Answer the question using a single word or phrase.

[Assistant] 12

[User]
at present the ratio between the ages of arun and deepak is 5 : 7. after 6 years, arun's age will be 36 years. what is the age of deepak at present?
Answer the question using a single word or phrase.

[Assistant] 42 years


[User]
the average age of 15 students of a class is 16 years. out of these, the average age of 5 students is 14 years and that of the other 10 students is 16 years. tee age of the 15 th student is?
Answer the question using a single word or phrase.

[Assistant] 10 years

[User]
excluding stoppages, the speed of a bus is 75 kmph and including stoppages, it is 45 kmph. for how many minutes does the bus stop per hour?
Answer the question using a single word or phrase.

[Assistant] 24

[User]
the visitors of a modern art museum who watched a certain picasso painting were asked to fill in a short questionnaire indicating whether they had enjoyed looking at the picture and whether they felt they had understood it. according to the results of the survey, all 130 visitors who did not enjoy the painting also did not feel they had understood the painting, and the number of visitors who enjoyed the painting was equal to the number of visitors who felt they had understood the painting. if 3 / 4 of the visitors who answered the questionnaire both enjoyed the painting and felt they had understood the painting, then how many visitors answered the questionnaire?
Answer the question using a single word or phrase.

[Assistant] 520

[User]
train a is 13 miles ahead of train b, which is traveling the same direction along the same route as train a. if train a is traveling at an average speed of 37 miles per hour and train b is traveling at an average speed of 43 miles per hour, how long will it take train b to overtake and drive 17 miles ahead of train a?
Answer the question using a single word or phrase.

[Assistant] 5 hours

[User]
x, y, and z are all unique numbers. if x is chosen randomly from the set { 9, 10, 11 } and y and z are chosen randomly from the set { 20, 21, 22, 23 }, what is the probability that x and y are prime and z is not?
Answer the question using a single word or phrase.

[Assistant] 1 / 12


[User]
on increasing the price of t. v. sets by 30 %, their sale decreases by 20 %. what is the effect on the revenue receipts of the shop?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
if sharon's weekly salary increased by 16 percent, she would earn $ 348 per week. if instead, her weekly salary were to increase by 10 percent, how much would she earn per week?
Answer the question using a single word or phrase.

[Assistant] $ 330

[User]
if the charge of staying in a student youth hostel $ 18.00 / day for the first week, and $ 14.00 / day for each additional week, how much does it cost to stay for 23 days?
Answer the question using a single word or phrase.

[Assistant] $ 350

[User]
mr. john used to purchase certain number of mangoes for $ 360 since the price of mangoes is reduced by 10 % he got 12 more mangoes today. find the original price of 125 mangoes.
Answer the question using a single word or phrase.

[Assistant] 416

[User]
calculate the time it will take for a full tank of water to become completely empty due to a leak given that the tank could be filled in 10 hours, but due to the leak in its bottom it takes 11 hours to be filled?
Answer the question using a single word or phrase.

[Assistant] 110 hours


[User]
in the first 25 overs of a cricket game, the run rate was only 5.4. what should be the run rate in the remaining 25 overs to reach the target of 400 runs?
Answer the question using a single word or phrase.

[Assistant] 10.6

[User]
if one positive integer is greater than another positive integer by 3, and the difference of their cubes is 279, what is their sum?
Answer the question using a single word or phrase.

[Assistant] 11

[User]
a, b and c invested rs. 6300, rs. 4200 and rs. 10500 respectively, in a partnership business. find the share of a in profit of rs. 12100 after a year?
Answer the question using a single word or phrase.

[Assistant] 3630

[User]
what is the unit digit in 4 ^ 100?
Answer the question using a single word or phrase.

[Assistant] 6

[User]
the average age of 37 students in a group is 14 years. when teacher's age is included to it, the average increases by one. what is the teacher's age in years?
Answer the question using a single word or phrase.

[Assistant] 52 years


[User]
pipe a can fill a tank in 12 hours. due to a leak at the bottom, it takes 18 hours for the pipe a to fill the tank. in what time can the leak alone empty the full tank?
Answer the question using a single word or phrase.

[Assistant] 36

[User]
if one and a half women, drink one and a half tea in one and a half minutes. how many tea can 9 women drink in 3 minutes?
Answer the question using a single word or phrase.

[Assistant] 18

[User]
a can run 2 km distance in 2 min 20 seconds, while b can run this distance in 3 min 5 sec.. by how much distance can a beat b?
Answer the question using a single word or phrase.

[Assistant] 500 m

[User]
the price of 10 chairs is equal to that of 4 tables. the price of 15 chairs and 2 tables together is rs. 4000. the total price of 12 chairs and 3 tables is :
Answer the question using a single word or phrase.

[Assistant] rs. 3900

[User]
if the remainder is 15 when the integer n is divided by 28, what is the remainder when 2 n is divided by 14?
Answer the question using a single word or phrase.

[Assistant] 2


[User]
rice weighing 25 / 2 pounds was divided equally and placed in 4 containers. how many ounces of rice were in each container? ( note that 1 pound = 16 ounces )
Answer the question using a single word or phrase.

[Assistant] 50

[User]
a man sold 18 toys for rs. 21000, gaining thereby the cost price of 3 toy find the cost price of a toy
Answer the question using a single word or phrase.

[Assistant] s. 1000

[User]
in a school of 700 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] 119

[User]
two brother x and y appeared for an exam. the probability of selection of x is 1 / 7 and that of b is 2 / 9. find the probability that both of them are selected.
Answer the question using a single word or phrase.

[Assistant] 2 / 63

[User]
150 metres long yard, 11 trees are palnted at equal distances, one tree being at each end of the yard. what is the distance between 2 consecutive trees
Answer the question using a single word or phrase.

[Assistant] 15


[User]
a sells a cricket bat to b at a profit of 20 %. b sells it to c at a profit of 25 %. if c pays $ 231 for it, the cost price of the cricket bat for a is :
Answer the question using a single word or phrase.

[Assistant] 154

[User]
the length of the bridge, which a train 150 m long and traveling at 45 km / hr can cross in 30 sec is?
Answer the question using a single word or phrase.

[Assistant] 225

[User]
a boat running up stram takes 4 hours to cover a certain distance, while it takes 8 hours to cover the same distance running down stream. what is the ratio between the speed of the boat and the speed of water current respectively?
Answer the question using a single word or phrase.

[Assistant] 3 : 1

[User]
a farmer used 1,034 acres of land for beans, wheat, and corn in the ratio of 5 : 2 : 4, respectively. how many w acres were used for corn?
Answer the question using a single word or phrase.

[Assistant] 376

[User]
find the l. c. m of 22, 25, 44 and 20.
Answer the question using a single word or phrase.

[Assistant] 1100


[User]
3 models ( f, g, and h ) of cars are distributed among 3 showrooms. the number of cars in each showrooms must be equal and each model must be represented by at least one car in every showroom. there are 19 cars of model f, 17 cars of model g, and 15 cars of model h. what is the maximum number of cars of model f in any showroom?
Answer the question using a single word or phrase.

[Assistant] 15

[User]
the timing of a college is from 12 p. m to 5.00 p. m. five lectures are held in the given duration and a break of 5 minutes after each lecture is given to the students. find the duration of each lecture.
Answer the question using a single word or phrase.

[Assistant] 56 minutes

[User]
if q = x ^ 4 + y ^ 4 = 100, then the greatest possible value of x is between
Answer the question using a single word or phrase.

[Assistant] 3 and 6

[User]
what is the units digit of 29! + 50! + 3! + 3!?
Answer the question using a single word or phrase.

[Assistant] 2

[User]
a train 285 m long, running with a speed of 54 km / hr will pass a tree in
Answer the question using a single word or phrase.

[Assistant] 19 sec


[User]
a group of 55 adults and 70 children go for trekking. if there is meal for either 70 adults or 90 children and if 7 adults have their meal, find the total number of children that can be catered with the remaining food.
Answer the question using a single word or phrase.

[Assistant] 81

[User]
if 42 / 330 = 0.1272, what is the 32 nd digit to the right of the decimal point of the fraction?
Answer the question using a single word or phrase.

[Assistant] 2

[User]
a began business with rs. 36000 and was joined afterwards by b with rs. 54000. when did b join if the profits at the end of the year were divided in the ratio of 2 : 1?
Answer the question using a single word or phrase.

[Assistant] 8

[User]
find the value of √ ( 25 / 16 ).
Answer the question using a single word or phrase.

[Assistant] 5 / 4

[User]
how many of the positive factors of 24 are not factors of 25
Answer the question using a single word or phrase.

[Assistant] 1


[User]
a man can do a piece of work in 4 days, but with the help of his daughter, he can do it in 3 days. in what time can his daughter do it alone?
Answer the question using a single word or phrase.

[Assistant] 12

[User]
john had a stock of 900 books in his bookshop. he sold 75 on monday, 50 on tuesday, 64 on wednesday, 78 on thursday and 135 on friday. what percentage of the books were not sold?
Answer the question using a single word or phrase.

[Assistant] 55.3 %

[User]
a sum of money at simple interest amounts to rs. 825 in 3 years and to rs. 854 in 4 years. the sum is :
Answer the question using a single word or phrase.

[Assistant] 738

[User]
the age of father 7 years ago was 5 times the age of his son. 5 years hence, father's age will be thrice that of his son. the ratio of their present ages is :
Answer the question using a single word or phrase.

[Assistant] 67 : 19

[User]
huey's hip pizza sells two sizes of square pizzas : a small pizza that measures 14 inches on a side and costs $ 10, and a large pizza that measures 21 inches on a side and costs $ 20. if two friends go to huey's with $ 30 apiece, how many more square inches of pizza can they buy if they pool their money than if they each purchase pizza alone?
Answer the question using a single word or phrase.

[Assistant] 49 square inches


[User]
if the lcm of a and b is 72 and their hcf is 6, what is the product of a & b?
Answer the question using a single word or phrase.

[Assistant] 432

[User]
in a 120 meters race a beats b by 56 m or 7 seconds. a's time over the course is :
Answer the question using a single word or phrase.

[Assistant] 8 seconds

[User]
if x is a randomly chosen integer between 1 and 20, inclusive, and y is a randomly chosen integer between 21 and 40, inclusive, what is the probability that xy is a multiple of 4?
Answer the question using a single word or phrase.

[Assistant] ½

[User]
the average of 20 number is zero of them at the most, how many may be greater than zero?
Answer the question using a single word or phrase.

[Assistant] 19

[User]
find the principle on a certain sum of money at 5 % per annum for 2 2 / 5 years if the amount being rs. 1792?
Answer the question using a single word or phrase.

[Assistant] 1600


[User]
of the 13 employees in a certain department, 1 has an annual salary of 38,000, 2 have an annual salary of 45,800 each, 2 have an annual salary of 42,500 each, 3 have an annual salary of 40,000 each and 5 have an annual salary of 48,500 each. what is the median annual salary for the 13 employees?
Answer the question using a single word or phrase.

[Assistant] 45,800

[User]
there are 200 female managers in a certain company. find the total number r 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] r = 500

[User]
in a certain boys camp, 20 % of the total boys are from school a and 30 % of those study science. if there are 49 boys in the camp that are from school a but do not study science then what is the total number of boys in the camp?
Answer the question using a single word or phrase.

[Assistant] 350

[User]
how many litres of pure acid are there in 8 litres of a 20 % solution?
Answer the question using a single word or phrase.

[Assistant] 1.6 litres

[User]
a 1200 m long train crosses a tree in 120 sec, how much time will i take to pass a platform 500 m long?
Answer the question using a single word or phrase.

[Assistant] 170 sec


[User]
what is the least number which when divided by 6, 7, 9 and 18 leaves remainder 4 in each care?
Answer the question using a single word or phrase.

[Assistant] 130

[User]
the profit earned by selling an article for rs. 832 is equal to the loss incurred when the same article is sold for rs. 448. what should be the sale price for making 50 % profit?
Answer the question using a single word or phrase.

[Assistant] 960

[User]
a room 14 m 21 cm long and 7 m 77 cm broad is to be paved with square tiles. find the least number of square tiles required to cover the floor.
Answer the question using a single word or phrase.

[Assistant] 22533

[User]
roja and pooja start moving in the opposite directions from a pole. they are moving at the speeds of 5 km / hr and 3 km / hr respectively. after 4 hours what will be the distance between them?
Answer the question using a single word or phrase.

[Assistant] 32 km

[User]
the number which exceeds 16 % of it by 105 is :
Answer the question using a single word or phrase.

[Assistant] 125


[User]
sachin is younger than rahul by 7 years. if the ratio of their ages is 6 : 9, find the age of sachin
Answer the question using a single word or phrase.

[Assistant] 14

[User]
a man has some hens and cows. if the number of heads be 44 and the number of feet equals 140, then the number of hens will be :
Answer the question using a single word or phrase.

[Assistant] 18

[User]
in the x - y plane, there are 4 points ( 00 ), ( 04 ), ( 54 ), and ( 50 ). if these 4 points makes a rectangle, what is the probability that x + y < 4?
Answer the question using a single word or phrase.

[Assistant] 2 / 5

[User]
the probability of two events a and b are 0.25 and 0.35 respectively. the probability that both a and b occur is 0.15. the probability that neither a nor b occur is _________
Answer the question using a single word or phrase.

[Assistant] 0.55

[User]
in a certificate by mistake a candidate gave his height as 25 % more than actual height. in the interview panel, he clarified that his height was 5 feet 8 nches. find the % correction made by the candidate from his stated height to his actual height?
Answer the question using a single word or phrase.

[Assistant] 17


[User]
the tens digit of a two digit number is 4 times of its unit digit and the sum of the digits be 10. then the first number is
Answer the question using a single word or phrase.

[Assistant] 82

[User]
a policeman noticed a criminal from a distance of 180 km. the criminal starts running and the policeman chases him. the criminal and the policeman run at the rate of 8 km and 9 km per hour respectively. what is the distance between them after 3 minutes?
Answer the question using a single word or phrase.

[Assistant] 130 m

[User]
in a fuel station the service costs $ 1.75 per car, every liter of fuel costs 0.65 $. assuming that a company owns 12 cars and that every fuel tank contains 40 liters and they are all empty, how much money total will it cost to fuel all cars?
Answer the question using a single word or phrase.

[Assistant] 333 $

[User]
in a mixture 60 litres, the ratio of milk and water 2 : 1. if this ratio is to be 1 : 2, then the quanity of water to be further added is
Answer the question using a single word or phrase.

[Assistant] 60 liters

[User]
a 280 meter long train running at the speed of 120 kmph crosses another train running in the opposite direction at the speed of 80 kmph in 9 seconds. what is the lenght of other train.
Answer the question using a single word or phrase.

[Assistant] 220 m


[User]
find the average of all the numbers between 11 and 34 which are divisible by 5?
Answer the question using a single word or phrase.

[Assistant] 22

[User]
x and y can do a piece of work in 20 days and 12 days respectively. x started the work alone and then after 4 days y joined him till the completion of work. how long did the work last?
Answer the question using a single word or phrase.

[Assistant] 10 days

[User]
if an integer n is to be selected at random from 1 to 100, inclusive, what is probability n ( n + 1 ) will be divisible by 8?
Answer the question using a single word or phrase.

[Assistant] 1 / 4

[User]
find the curved surface area, if the radius of a cone is 7 m and slant height is 14 m?
Answer the question using a single word or phrase.

[Assistant] 308

[User]
if | x | = 9 x - 16, then x =?
Answer the question using a single word or phrase.

[Assistant] 2


[User]
sonika deposited rs. 8000 which amounted to rs. 10200 after 3 years at simple interest. had the interest been 2 % more. she would get how much?
Answer the question using a single word or phrase.

[Assistant] 10680

[User]
the average monthly salary of 24 employees in an organisation is rs. 2400. if the manager's salary is added, then the average salary increases by rs. 100. what is the manager's monthly salary?
Answer the question using a single word or phrase.

[Assistant] rs. 4900

[User]
the s. i. on a certain sum of money for 6 years at 16 % per annum is half the c. i. on rs. 8000 for 2 years at 20 % per annum. the sum placed on s. i. is?
Answer the question using a single word or phrase.

[Assistant] 1833.33

[User]
if z is a multiple of 9402, what is the remainder when z ^ 2 is divided by 9?
Answer the question using a single word or phrase.

[Assistant] 0

[User]
a techno company has 14 machines of equal efficiency in its factory. the annual manufacturing costs are rs 42000 and establishment charges are rs 12000. the annual output of the company is rs 70000. the annual output and manufacturing costs are directly proportional to the number of machines. the shareholders get 12.5 profit, which is directly proportional to the annual output of the company. if 7.14 machines remain closed throughout the year, then the percentage decrease in the amount of profit of the shareholders would be :
Answer the question using a single word or phrase.

[Assistant] 12.5 %


[User]
p and q can complete a work in 80 days and 48 days respectively. p alone started the work and q joined him after 8 days till the completion of the work. how long did the work last?
Answer the question using a single word or phrase.

[Assistant] 35 days

[User]
a and b together can complete work in 6 days. a alone starts working and leaves it after working for 3 days completing only half of the work. in how many days it can be completed if the remaining job is undertaken by b?
Answer the question using a single word or phrase.

[Assistant] 3

[User]
let f ( x ) = x ^ 2 + bx + c. if f ( 4 ) = 0 and f ( - 3 ) = 0, then b + c =
Answer the question using a single word or phrase.

[Assistant] - 13

[User]
how many even number in the range between 25 to 100 inclusive are not divisible by 3
Answer the question using a single word or phrase.

[Assistant] 27

[User]
the sum of three consecutive multiples of 3 is 72. what is the larget number?
Answer the question using a single word or phrase.

[Assistant] 27


[User]
9 log 9 ( 6 ) =?
Answer the question using a single word or phrase.

[Assistant] 6

[User]
two mixtures of a and b have a and b in the ratio 3 : 2 and 3 : 4. in what proportion should these two mixtures be mixed to get a new mixture in which the ration of a to b is 5 : 4?
Answer the question using a single word or phrase.

[Assistant] 20 : 7

[User]
a certain characteristic in a large population has a distribution that is symmetric about the mean m. if 60 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] 80 %

[User]
8 kilograms of rice costing rs. 16 per kg is mixed with 4 kilograms of rice costing rs. 22 per kg. what is the average price of the mixture?
Answer the question using a single word or phrase.

[Assistant] 18

[User]
the speed at which a man can row a boat in still water is 15 kmph. if he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 70 metres?
Answer the question using a single word or phrase.

[Assistant] 14 seconds


[User]
if the simple interest on a sum of money for 5 years at 18 % per annum is rs. 900, what is the compound interest on the same sum at the rate and for the same time?
Answer the question using a single word or phrase.

[Assistant] rs. 1287.76

[User]
the true discount on a bill due 9 months hence at 16 % per annum is rs. 150. the amount of the bill is
Answer the question using a single word or phrase.

[Assistant] 1400

[User]
andrew travelling to 7 cities. gasoline prices varied from city to city. $ 1.75, $ 1.61, $ 1.79, $ 2.11, $ 1.96, $ 2.09, $ 1.81. what is the median gasoline price?
Answer the question using a single word or phrase.

[Assistant] $ 1.81

[User]
a freight elevator can carry a maximum load of 1100 pounds. sean, who weighs 200 pounds, is in the elevator with two packages weighing 150 pounds and 280 pounds. if he needs to fit 3 more packages in the elevator that weigh as much as possible without exceeding the elevator limit, what is the difference between their average and the average of the two packages already in the elevator?
Answer the question using a single word or phrase.

[Assistant] 59

[User]
power windows : 60 % anti - lock brakes : 25 % cd player : 75 % the table above shows the number of vehicles at bill's car dealership that have certain features. no vehicle has all 3 features, but 10 % have power windows and anti - lock brakes, 15 % have anti - lock brakes and a cd player, and 22 % have power windows and a cd player. what percent of the vehicles at bill's car dealership have a cd player but no power windows or anti - lock brakes?
Answer the question using a single word or phrase.

[Assistant] 38


[User]
a train 360 m long is running at a speed of 60 km / hr. in what time will it pass a bridge 140 m long?
Answer the question using a single word or phrase.

[Assistant] 30 sec

[User]
the value of ( log 9 27 + log 8 32 ) is :
Answer the question using a single word or phrase.

[Assistant] 5 / 3

[User]
a meal cost $ 37.50 and there was no tax. if the tip was more than 10 pc but less than 15 pc of the price, then the total amount paid should be :
Answer the question using a single word or phrase.

[Assistant] 41 - 43

[User]
find the slope of the line perpendicular to the line y = ( 1 / 4 ) x - 7
Answer the question using a single word or phrase.

[Assistant] - 4

[User]
a person can row at 9 kmph and still water. he takes 7 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] 33 km


[User]
walking with 4 / 5 of my usual speed, i miss the bus by 4 minutes. what is my usual time?
Answer the question using a single word or phrase.

[Assistant] 16 min

[User]
find the principal which yields a simple interest of rs. 20 and compound interest of rs. 22 in two years, at the same percent rate per annum?
Answer the question using a single word or phrase.

[Assistant] s. 100

[User]
if x / ( 11 p ) is an odd prime number, where x is a positive integer and p is a prime number, what is the least value of x?
Answer the question using a single word or phrase.

[Assistant] 66

[User]
9 persons went to a hotel for taking their meals. 8 of them spent rs. 12 each on their meals and the ninth spent rs. 8 more than the average expenditure of all the 9. what was the total money spent by them.
Answer the question using a single word or phrase.

[Assistant] rs. 117

[User]
a cube of edge 6 cm is cut into cubes each of edge 1 cm. the ratio of the total surface area of one of the small cubes to that of the large cube is equal to :
Answer the question using a single word or phrase.

[Assistant] 1 : 36


[User]
how many paying stones, each measuring 2 m * 2 m are required to pave a rectangular court yard 30 m long and 18 m board?
Answer the question using a single word or phrase.

[Assistant] 135

[User]
a jogger running at 9 km / hr along side a railway track is 250 m ahead of the engine of a 100 m long train running at 99 km / hr in the same direction. in how much time will the train pass the jogger?
Answer the question using a single word or phrase.

[Assistant] 14 sec

[User]
a train 200 m long passes a man, running at 5 km / hr in the same direction in which the train is going, in 20 seconds. the speed of the train is?
Answer the question using a single word or phrase.

[Assistant] 23

[User]
a pupil's marks were wrongly entered as 73 instead of 65. due to the average marks for the class got increased by half. the number of pupils in the class is?
Answer the question using a single word or phrase.

[Assistant] 16

[User]
the average salary of 16 people in the shipping department at a certain firm is $ 20,000. the salary of 5 of the employees is $ 25,000 each and the salary of 4 of the employees is $ 16,000 each. what is the average salary of the remaining employees?
Answer the question using a single word or phrase.

[Assistant] $ 18,714


[User]
a shopkeeper sold an article at $ 100 with 30 % profit. then find its cost price?
Answer the question using a single word or phrase.

[Assistant] $ 77

[User]
in an election between two candidates, the first candidate got 80 % of the votes and the second candidate got 480 votes. what was the total number of votes?
Answer the question using a single word or phrase.

[Assistant] 2400

[User]
peter invested a certain sum of money in a simple interest bond whose value grew to $ 400 at the end of 4 years and to $ 500 at the end of another 2 years. what was the rate of interest in which he invested his sum?
Answer the question using a single word or phrase.

[Assistant] 25 %

[User]
the ratio of boarders to day scholars at a school is 7 to 16. however, after a few new students join the initial 560 boarders, the ratio changed to 1 to 2, respectively. if no boarders became day scholars and vice versa, and no students left the school, how many boarders joined the school?
Answer the question using a single word or phrase.

[Assistant] 80

[User]
when positive integer n is divided by positive integer p, the quotient is 18, with a remainder of 6. when n is divided by ( p + 2 ), the quotient is 15 and the remainder is 3. what is the value of n?
Answer the question using a single word or phrase.

[Assistant] 168


[User]
g ( x ) 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 ( a ) 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]
the least common multiple of positive integer m and 3 - digit integer n is 690. if n is not divisible by 3 and m is not divisible by 2, what is the value of n?
Answer the question using a single word or phrase.

[Assistant] 230

[User]
if 5 % more is gained by selling an article for rs. 350 than by selling it for rs. 340, the cost of the article is :
Answer the question using a single word or phrase.

[Assistant] rs. 200

[User]
a certain characteristic in a large population has a distribution that is symmetric about the mean m. if 68 percent of the distribution lies within one standard deviation d of the mean, what percent f of the distribution is less than m + d?
Answer the question using a single word or phrase.

[Assistant] 84 %

[User]
the difference between the local value and the face value of 9 in the numeral 62975148 is
Answer the question using a single word or phrase.

[Assistant] 899991


[User]
a man complete a journey in 10 hours. he travels first half of the journey at the rate of 21 km / hr and second half at the rate of 24 km / hr. find the total journey in km.
Answer the question using a single word or phrase.

[Assistant] 224 km

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

[Assistant] 9 : 10

[User]
the true discount on a bill of rs. 2460 is rs. 360. what is the banker's discount?
Answer the question using a single word or phrase.

[Assistant] rs. 422

[User]
a number is doubled and 5 is added. if the resultant is trebled, it becomes 111. what is that number?
Answer the question using a single word or phrase.

[Assistant] 16

[User]
a sum of money is to be distributed among a, b, c, d in the proportion of 5 : 2 : 4 : 3. if c gets rs. 700 more than d, what is b's share?
Answer the question using a single word or phrase.

[Assistant] rs. 1400


[User]
if the simple interest on a sum of money for 5 years at 9 % per annum is rs. 800, what is the compound interest on the same sum at the rate and for the same time?
Answer the question using a single word or phrase.

[Assistant] rs. 957.55

[User]
find the difference between c. i and s. i on a sum of money rs. 2000 for 2 years. at 4 % p. a
Answer the question using a single word or phrase.

[Assistant] rs. 3.20

[User]
if 5 machines can produce 20 units in 10 hours, how long would it take 10 machines to produce 100 units?
Answer the question using a single word or phrase.

[Assistant] 25

[User]
a, b and c, each working alone can complete a job in 6, 8 and 12 days respectively. if all three of them work together to complete a job and earn $ 2340, what will be a's share of the earnings?
Answer the question using a single word or phrase.

[Assistant] $ 1040

[User]
the area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of rs. 1.00 per meter. two gates of 1 m width each are to be left for entrance. what is the total cost?
Answer the question using a single word or phrase.

[Assistant] s. 666


[User]
the pinedale bus line travels at an average speed of 60 km / h, and has stops every 5 minutes along its route. yahya wants to go from his house to the pinedale mall, which is 5 stops away. how far away, in kilometers, is pinedale mall away from yahya's house?
Answer the question using a single word or phrase.

[Assistant] 25 km

[User]
a positive number x is multiplied by 10, and this product is then divided by 3. if the positive square root of the result of these two operations equals x, what is the value of x?
Answer the question using a single word or phrase.

[Assistant] 10 / 3

[User]
if 90 % of a = 30 % of b and b = c % of a, then the value of c is?
Answer the question using a single word or phrase.

[Assistant] 300

[User]
in a group of dogs and people, the number of legs was 28 more than twice the number of heads. how many dogs were there? [ assume none of the people or dogs is missing a leg. ]
Answer the question using a single word or phrase.

[Assistant] 14

[User]
in a company, 50 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] 80 %


[User]
9 log 9 ( 4 ) =?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
the average of runs of a cricket player of 20 innings was 32. how many runs must he make in his next innings so as to increase his average of runs by 5?
Answer the question using a single word or phrase.

[Assistant] 137

[User]
yearly subscription to professional magazines cost a company $ 840.00. to make a 30 % cut in the magazine budget, how much less must be spent?
Answer the question using a single word or phrase.

[Assistant] 588

[User]
the area of a square is 4900 sq cm. find the ratio of the breadth and the length of a rectangle whose length is same the side of the square and breadth is 20 cm less than the side of the square?
Answer the question using a single word or phrase.

[Assistant] 5 : 7

[User]
a man walking at a rate of 10 km / hr crosses a bridge in 18 minutes. the length of the bridge is?
Answer the question using a single word or phrase.

[Assistant] 3000


[User]
elena ’ s bread recipe calls for 3 ounces of butter for each 4 cups of flour used. she needs to make 7 times the original recipe. if 12 ounces of butter is used, then how many cups of flour are needed?
Answer the question using a single word or phrase.

[Assistant] 28

[User]
find the area, diameter = 13 m.
Answer the question using a single word or phrase.

[Assistant] 132.78 square meter

[User]
the h. c. f. of two numbers is 12 and their l. c. m. is 600. if one of the number is 45, find the other?
Answer the question using a single word or phrase.

[Assistant] 160

[User]
in a can, there is a mixture of milk and water in the ratio 4 : 3. if the can is filled with an additional 8 liters of milk, the can would be full and the ratio of milk and water would become 2 : 1. find the capacity of the can?
Answer the question using a single word or phrase.

[Assistant] 36

[User]
to produce an annual income of rs. 1200 from a 12 % stock at 90, the amount of stock needed is :
Answer the question using a single word or phrase.

[Assistant] rs. 10,000


[User]
if the least common addition of two prime numbers x and y is 10, where x > y, then the value of 2 x + y is
Answer the question using a single word or phrase.

[Assistant] 17

[User]
what is the length of a bridge ( in meters ), which a train 156 meters long and travelling at 45 km / h can cross in 40 seconds?
Answer the question using a single word or phrase.

[Assistant] 344

[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 3 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] 8 / 21

[User]
if 10 men can reap 120 acres of land in 15 days, how many acres of land can 20 men reap in 30 days?
Answer the question using a single word or phrase.

[Assistant] 480

[User]
the profit earned by selling an article for 852 is equal to the loss incurred when the same article is sold for 448. what should be the sale price of the article for making 50 per cent profit?
Answer the question using a single word or phrase.

[Assistant] 975


[User]
cereal a is 10 % sugar by weight, whereas healthier but less delicious cereal b is 2 % sugar by weight. to make a delicious and healthy mixture that is 6 % sugar, what should be the ratio of cereal a to cereal b, by weight?
Answer the question using a single word or phrase.

[Assistant] 1 : 1

[User]
zachary is helping his younger brother, sterling, learn his multiplication tables. for every question that sterling answers correctly, zachary gives him 3 pieces of candy. for every question that sterling answers incorrectly, zachary takes away two pieces of candy. after 7 questions, if sterling had answered 2 more questions correctly, he would have earned 31 pieces of candy. how many of the 7 questions did zachary answer correctly?
Answer the question using a single word or phrase.

[Assistant] 7

[User]
find the least number which when divided by 35 and 11 leaves a remainder of 1 in each case.
Answer the question using a single word or phrase.

[Assistant] 386

[User]
the speed of a car is 90 km in the first hour and 75 km in the second hour. what is the average speed of the car?
Answer the question using a single word or phrase.

[Assistant] 82.5 kmph

[User]
a larger cube has 64 cubic inch as a volume and in the cube there are 64 smaller cubes such that their volume is 1 cubic inch. what is the difference between the surface areas ’ sum of the 64 smaller cubes and the surface area of the larger cube, in square inch?
Answer the question using a single word or phrase.

[Assistant] 288


[User]
a pump can fill a tank with water in 2 hours. because of a leak, it took 2 1 / 8 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] 34 hr

[User]
two buses each 3125 m long are running in opposite directions on parallel roads. their speeds are 40 km / hr and 35 km / hr respectively. find the time taken by the slower bus to pass the driver of the faster one?
Answer the question using a single word or phrase.

[Assistant] 50 sec

[User]
if the perimeter of a rectangular garden is 500 m, its length when its breadth is 100 m is?
Answer the question using a single word or phrase.

[Assistant] 150 m

[User]
a man goes from a to b at a speed of 15 kmph and comes back to a at a speed of 12 kmph. find his average speed for the entire journey?
Answer the question using a single word or phrase.

[Assistant] 13.3 kmph

[User]
a cube is divided into 729 identical cubelets. each cut is made parallel to some surface of the cube. but before doing that the cube is coloured with green colour on one set of adjacent faces, red on the other set of adjacent faces, blue on the third set. so, how many cubelets are there which are painted with exactly one colour?
Answer the question using a single word or phrase.

[Assistant] 294


[User]
in a mixed college 160 students are there in one class. out of this 160 students 3 / 4 students are girls. how many boys are there?
Answer the question using a single word or phrase.

[Assistant] 40

[User]
the product z of two prime numbers is between 10 and 30. if one of the prime numbers is greater than 2 but less than 6 and the other prime number is greater than 6 but less than 24, then what is z?
Answer the question using a single word or phrase.

[Assistant] 21

[User]
how many integers from 0 to 44, inclusive, have a remainder of 1 when divided by 3?
Answer the question using a single word or phrase.

[Assistant] 13

[User]
he total marks obtained by a student in physics, chemistry and mathematics is 150 more than the marks obtained by him in physics. what is the average mark obtained by him in chemistry and mathematics?
Answer the question using a single word or phrase.

[Assistant] 75

[User]
a pump can fill a tank with water in 2 hours. because of a leak, it took 2 1 / 7 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] 30 hr


[User]
a ranch has both horses and ponies. exactly 5 / 7 of the ponies have horseshoes, and exactly 2 / 3 of the ponies with horseshoes are from iceland. if there are 3 more horses than ponies, what is the minimum possible combined number of horses and ponies on the ranch?
Answer the question using a single word or phrase.

[Assistant] 45

[User]
there are 13 boys and 10 girls in a class. if three students are selected at random, in how many ways that 1 girl or 2 boys are selected?
Answer the question using a single word or phrase.

[Assistant] 88

[User]
a student gets 70 % in one subject, 80 % in the other. to get an overall of 75 % how much should get in third subject.
Answer the question using a single word or phrase.

[Assistant] 75 %

[User]
carina has 85 ounces of coffee divided into 5 - and 10 - ounce packages. if she has 2 more 5 - ounce packages than 10 - ounce packages, how many 10 - ounce packages does she have?
Answer the question using a single word or phrase.

[Assistant] 5

[User]
how much water must be added to 56 litres of milk at 1 1 ⁄ 2 litres for 20 so as to have a mixture worth 10 2 ⁄ 3 a litre?
Answer the question using a single word or phrase.

[Assistant] 14 litres


[User]
if the simple interest on a certain amount in at 4 % rate 5 years amounted to rs. 2000 less than the principal. what was the principal?
Answer the question using a single word or phrase.

[Assistant] 2500

[User]
if two integers x, y ( x > y ) are selected from - 10 to 10 ( inclusive ), how many possible cases are there?
Answer the question using a single word or phrase.

[Assistant] 210

[User]
jolene entered an 18 - month investment contract that guarantees to pay 2 percent interest at the end of 6 months, another 3 percent interest at the end of 12 months, and 4 percent interest at the end of the 18 month contract. if each interest payment is reinvested in the contract, and jolene invested $ 10,000 initially, what will be the total amount of interest paid during the 18 - month contract?
Answer the question using a single word or phrase.

[Assistant] $ 926.24

[User]
the sum of the numbers is 110. if the first number be twice the second and third number be one - third of the first, then the second number is :
Answer the question using a single word or phrase.

[Assistant] 30

[User]
total dinning bill of 3 people was $ 139.00 and 10 % tip divided the bill evenly? what is the bill amount each person shared.
Answer the question using a single word or phrase.

[Assistant] 50.96


[User]
the ratio of the radius of two circles is 5 : 3, and then the ratio of their areas is?
Answer the question using a single word or phrase.

[Assistant] 25 : 9

[User]
the population of locusts in a certain swarm doubles every two hours. if 4 hours ago there were 1,000 locusts in the swarm, in approximately how many hours will the swarm population exceed 512,000 locusts?
Answer the question using a single word or phrase.

[Assistant] 14

[User]
if the price of gasoline increases by 20 % and a driver intends to spend only 14 % more on gasoline, by how much percent should the driver reduce the quantity of gasoline that he buys?
Answer the question using a single word or phrase.

[Assistant] 5 %

[User]
a cube is divided into 343 identical cubelets. each cut is made parallel to some surface of the cube. but before doing that, the cube is painted with green on one set of opposite faces, red on another set of opposite faces, and blue on the third set of opposite faces. how many cubelets are painted with exactly one colour?
Answer the question using a single word or phrase.

[Assistant] 150

[User]
the average of 7 consecutive numbers is 20. the largest of these numbers is :
Answer the question using a single word or phrase.

[Assistant] 23


[User]
total dinning bill for 7 people was $ 211.00. if they add 15 % tip and divided the bill evenly, approximate. what was each persons find share
Answer the question using a single word or phrase.

[Assistant] 34.66

[User]
what is the area of square field whose side of length 20 m?
Answer the question using a single word or phrase.

[Assistant] 400 sq m

[User]
a cyclist bikes x distance at 8 miles per hour and returns over the same path at 812 miles per hour. what is the cyclist's average rate for the round trip in miles per hour?
Answer the question using a single word or phrase.

[Assistant] 9.6

[User]
in a survey of 345 employees, 104 of them are uninsured, 54 work part time, and 12.5 percent of employees who are uninsured work part time. if a person is to be randomly selected from those surveyed, what is the probability that the person will neither work part time nor be uninsured?
Answer the question using a single word or phrase.

[Assistant] 40 / 69

[User]
two dogsled teams raced across a 300 mile course in wyoming. team a finished the course in 3 fewer hours than team w. if team a's average speed was 5 mph greater than team w's, what was team w's average mph?
Answer the question using a single word or phrase.

[Assistant] 20


[User]
if a ( a - 5 ) = 6 and b ( b - 5 ) = 6 where a ≠ b, then a + b =
Answer the question using a single word or phrase.

[Assistant] 5

[User]
how many positive integers less than 100 have a remainder of 6 when divided by 13?
Answer the question using a single word or phrase.

[Assistant] 6

[User]
given f ( x ) = 3 x – 5, for what value of x does 2 * [ f ( x ) ] – 1 = f ( 3 x – 6 )
Answer the question using a single word or phrase.

[Assistant] 4

[User]
in n is a positive integer less than 200, and 18 n / 60 is an integer, then n has how many different positive prime factors?
Answer the question using a single word or phrase.

[Assistant] 2

[User]
the ratio of numbers is 3 : 4 and their h. c. f is 8. their l. c. m is :
Answer the question using a single word or phrase.

[Assistant] 96


[User]
every year an amount increases by 1 / 8 th of itself. how much will it be after two years if its present value is rs. 59000?
Answer the question using a single word or phrase.

[Assistant] 74671.875

[User]
a person buys an article at rs. 500. at what price should he sell the article so as to make a profit of 30 %?
Answer the question using a single word or phrase.

[Assistant] 650

[User]
if the sum and difference of two numbers are 20 and 8 respectively, then the difference of their square is :
Answer the question using a single word or phrase.

[Assistant] 160

[User]
raja complete a journey in 10 hours. he travels first half of the journey at the rate of 21 km / hr and second half at the rate of 24 km / hr. find the total journey in km.
Answer the question using a single word or phrase.

[Assistant] 224 km

[User]
the percentage increase in the area of a rectangle, if each of its sides is increased by 20 % is :
Answer the question using a single word or phrase.

[Assistant] 44 %


[User]
a person travels equal distances with speeds of 2 km / hr, 4 km / hr, 6 km / hr. and takes a total time of 11 minutes. find the total distance?
Answer the question using a single word or phrase.

[Assistant] 600 mts

[User]
the ratio of the radius of two circles is 1 : 9, and then the ratio of their areas is?
Answer the question using a single word or phrase.

[Assistant] 1 : 81

[User]
tom, working alone, can paint a room in 6 hours. peter and john, working independently, can paint the same room in 3 hours and 8 hours, respectively. tom starts painting the room and works on his own for one hour. he is then joined by peter and they work together for an 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] 23 / 45

[User]
at joel ’ s bookstore, the current inventory is 40 % historical fiction. of the historical fiction books, 40 % are new releases, while 40 % of the other books are new releases. what fraction of all new releases are the historical fiction new releases?
Answer the question using a single word or phrase.

[Assistant] 2 / 5

[User]
the price of lunch for 15 people was $ 209.00, 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] $ 12.66


[User]
the average of 50 numbers id 44. if two numbers, namely 45 and 55 are discarded, the average of the remaining numbers is :
Answer the question using a single word or phrase.

[Assistant] 43.75

[User]
mike earns $ 14 per hour and phil earns $ 12 per hour. approximately how much less, as a percentage, does phil earn than mike per hour?
Answer the question using a single word or phrase.

[Assistant] 14 %

[User]
what is the remainder when 45 * 49 is divided by 8?
Answer the question using a single word or phrase.

[Assistant] 5

[User]
6 persons in an organization including a and b were to be divided in two groups of 3 members each. the total number of groups containing both a and b is what fraction of the total number of groups which can be formed?
Answer the question using a single word or phrase.

[Assistant] 3 / 10

[User]
solution x is 80 % chemical a and 20 % chemical b by volume. solution y is 50 % chemical a and 50 % chemical b by volume. if a mixture of x and y is 68 % chemical a, what percent of the mixture is solution x?
Answer the question using a single word or phrase.

[Assistant] 40 %


[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 5 ounces of corn syrup, how many ounces of water does it contain?
Answer the question using a single word or phrase.

[Assistant] 75

[User]
what is the value of x ^ 2 yz − xyz ^ 2, if x = - 1, y = 1, and z = 3?
Answer the question using a single word or phrase.

[Assistant] 12

[User]
a batsman in his 19 th inning makes a score of 100 and their by increasing his average by 2. what is his average after the 19 th inning?
Answer the question using a single word or phrase.

[Assistant] 64

[User]
b takes 12 more days than a to finish a task. b and a start this task and a leaves the task 12 days before the task is finished. b completes 60 % of the overall task. how long would b have taken to finish the task if he had worked independently?
Answer the question using a single word or phrase.

[Assistant] 36 days

[User]
a train 100 m long is running with a speed of 68 kmph. in what time will it pass a man who is running at 8 kmph in the same direction in which the train is going?
Answer the question using a single word or phrase.

[Assistant] 6 sec.