[User]
sand is poured into a box so that the box is being filled at the rate of 3 cubic feet per hour. if the empty rectangular box is 5 feet long, 4 feet wide, and 3 feet deep, approximately how many hours does it take to fill the box?
Answer the question using a single word or phrase.

[Assistant] 20

[User]
jack and christina are standing 270 feet apart on a level surface. their dog, lindy, is standing next to christina. at the same time, they all begin moving toward each other. jack walks in a straight line toward christina at a constant speed of 4 feet per second and christina walks in a straight line toward jack at a constant speed of 5 feet per second. lindy runs at a constant speed of 8 feet per second from christina to jack, back to christina, back to jack, and so forth. what is the total distance, in feet, that lindy has traveled when the three meet at one place?
Answer the question using a single word or phrase.

[Assistant] 240

[User]
how many liters of water must be added to 20 liters of milk and water containing 10 % water to make it 50 % water?
Answer the question using a single word or phrase.

[Assistant] 16

[User]
man 1 alone can do a piece of work in 6 days and man 2 alone in 8 days. man 1 and man 2 undertook to do it for rs. 3200. with the help of man 3, they completed the work in 3 days. how much is to be paid to man 3?
Answer the question using a single word or phrase.

[Assistant] 400

[User]
in arun's opinion, his weight is greater than 65 kg but leas than 72 kg. his brother does not agree with arun and he thinks that arun's weight is greater than 60 kg but less than 70 kg. his mother's view is that his weight can not be greater than 68 kg. if all of them are correct in their estimation, what is the average of diferent probable weights of arun?
Answer the question using a single word or phrase.

[Assistant] 66.5 kg


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

[Assistant] 1 / 6

[User]
a batsman in his 12 th innings makes a score of 80 and thereby increases his average by 2 runs. what is his average after the 12 th innings if he had never been ‘ not out ’?
Answer the question using a single word or phrase.

[Assistant] 58

[User]
what is the compound interest on rs. 4500 at 5 % p. a. compounded half - yearly for 3 1 / 2 years.
Answer the question using a single word or phrase.

[Assistant] rs. 849.09

[User]
danny can divide his herd into 5 equal parts and also to 6 equal parts, but not to 9 equal parts. what could be the number of cows danny has in his herd?
Answer the question using a single word or phrase.

[Assistant] 120

[User]
a and b can do a work in 8 days, b and c can do it in 12 days ; a, b and c together can finish it in 6 days. a and c together will do it in?
Answer the question using a single word or phrase.

[Assistant] 8 days


[User]
how much is 90 % of 40 is greater than 4 / 5 of 25?
Answer the question using a single word or phrase.

[Assistant] 16

[User]
a grocer is storing soap boxes in cartons that measure 25 inches by 42 inches by 60 inches. if the measurement of each soap box is 7 inches by 6 inches by 6 inches, then what is the maximum number of soap boxes that can be placed in each carton?
Answer the question using a single word or phrase.

[Assistant] 250

[User]
suresh and ramesh started a business investing rs. 24,000 and rs. 40,000 respectively. out of total profit of rs. 19,000, what is ramesh's share?
Answer the question using a single word or phrase.

[Assistant] s. 11875

[User]
if difference between compound interest and simple interest on a sum at 5 % p. a. for 2 years is rs. 60, then what is the sum?
Answer the question using a single word or phrase.

[Assistant] rs. 24000

[User]
a larger cube has 343 cubic inch as a volume and in the cube there are 343 smaller cubes such that their volume is 1 cubic inch. what is the difference between the surface areas ’ sum of the 343 smaller cubes and the surface area of the larger cube, in square inch?
Answer the question using a single word or phrase.

[Assistant] 1764


[User]
salesperson a's compensation for any week is $ 360 plus 6 percent of the portion of a's total sales above $ 1000 for that week. salesperson b's compensation for any week is 10 percent of a's total sales for that week. for what amount of total weekly sales would both salepeople earn the same compensation?
Answer the question using a single word or phrase.

[Assistant] $ 15,000

[User]
if 1 / 2 of the air in a tank is removed with each stroke of a vacuum pump, what fraction of the original amount of air has been removed after 3 strokes?
Answer the question using a single word or phrase.

[Assistant] 7 / 8

[User]
if it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 300 responses are needed, what is the minimum number of questionnaires that should be mailed?
Answer the question using a single word or phrase.

[Assistant] 500

[User]
a person crosses a 1000 m long street in 10 minutes. what is his speed in km per hour?
Answer the question using a single word or phrase.

[Assistant] 6.0

[User]
how long does a train 110 m long travelling at 60 kmph takes to cross a bridge of 170 m in length?
Answer the question using a single word or phrase.

[Assistant] 16.8 sec


[User]
two trains from opposite directions are to cross each other. the length of two trains are 100 meter and 200 meter respectively. the speed of first train is 100 km / hour and second train 200 km / hour. in how much time will they cross each other?
Answer the question using a single word or phrase.

[Assistant] 3.6 second

[User]
let n be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. then sum of the digits in n is :
Answer the question using a single word or phrase.

[Assistant] 4

[User]
in a garden, there are 10 rows and 12 columns of mango trees. the distance between the two trees is 2 metres and a distance of five metre is left from all sides of the boundary of the garden. what is the length of the garden?
Answer the question using a single word or phrase.

[Assistant] 32

[User]
15.06 * 0.000001 =?
Answer the question using a single word or phrase.

[Assistant] 1.506 e - 05

[User]
darcy lives 1.5 miles from work. she can walk to work at a constant rate of 3 miles per hour, or she can ride the train to work at a constant rate of 20 miles per hour. if she rides the train, there is an additional x minutes spent walking to the nearest train station, waiting for the train, and walking from the final train station to her work. if it takes darcy a total of 2 more minutes to commute to work by walking than it takes her to commute to work by riding the train, what is the value of x?
Answer the question using a single word or phrase.

[Assistant] 23.5


[User]
a driver would have reduced the time it took to drive from home to the store by 1 / 4 if the average speed had been increased by 12 miles per hour. what was the actual average speed, in miles per hour, when the driver drove from home to the store?
Answer the question using a single word or phrase.

[Assistant] 36

[User]
a certain company expects quarterly earnings of $ 0.80 per share of stock, half of which will be distributed as dividends to shareholders while the rest will be used for research and development. if earnings are greater than expected, shareholders will receive an additional $ 0.04 per share for each additional $ 0.10 of per share earnings. if quarterly earnings are $ 1.10 per share, what will be the dividend paid to a person who owns 300 shares of the company's stock?
Answer the question using a single word or phrase.

[Assistant] $ 156

[User]
can you find the smallest non fractional number such that if the number gets divided by 6, we get the remainder of 1 ; if the number gets divided by 7, we get the remainder of 2 if the number gets divided by 8, we get the remainder of 3 ; if the number gets divided by 9, we get the remainder of 4.
Answer the question using a single word or phrase.

[Assistant] 1006

[User]
which is less than 3?
Answer the question using a single word or phrase.

[Assistant] 0.3

[User]
the difference of two numbers is 1360. on dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. what is the smaller number?
Answer the question using a single word or phrase.

[Assistant] 269


[User]
the average of 10 numbers is 23. if each number is increased by 2, what will the new average be?
Answer the question using a single word or phrase.

[Assistant] 25

[User]
on a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. on the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. on both days, all the orangeade that was made was sold. if the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $ 0.50 per glass on the first day, what was the price per glass on the second day?
Answer the question using a single word or phrase.

[Assistant] $ 0.33

[User]
a polling company surveyed a certain country, and it found that 35 % of that country ’ s registered voters had an unfavorable impression of both of that state ’ s major political parties and that 20 % had a favorable impression only of party t. if one registered voter has a favorable impression of both parties for every two registered voters who have a favorable impression only of party b, then what percentage of the country ’ s registered voters have a favorable impression of both parties ( assuming that respondents to the poll were given a choice between favorable and unfavorable impressions only )?
Answer the question using a single word or phrase.

[Assistant] 15

[User]
rs. 1500 is divided into two parts such that if one part is invested at 6 % and the other at 5 % the whole annual interest from both the sum is rs. 85. how much was lent at 5 %?
Answer the question using a single word or phrase.

[Assistant] 500

[User]
excluding stoppages, the speed of a train is 30 kmph and including stoppages it is 21 kmph. of how many minutes does the train stop per hour?
Answer the question using a single word or phrase.

[Assistant] 18


[User]
a man took loan from a bank at the rate of 5 % p. a. s. i. after 13 years he had to pay rs. 1300 interest only for the period. the principal amount borrowed by him was?
Answer the question using a single word or phrase.

[Assistant] 2000

[User]
in a games hour 4 different types of players came to the ground? cricket 15, hokey 12, football 13, softball 15. how many players are present in the ground?
Answer the question using a single word or phrase.

[Assistant] 55

[User]
if 2 / z = 2 / ( z + 1 ) + 2 / ( z + 25 ) which of these integers could be the value of z?
Answer the question using a single word or phrase.

[Assistant] 5

[User]
the average student age of a certain class which has 45 students is 14. if one student aged 15 go to another class and the age of the class teacher is included the average changes to 14.66. what is the age of class teacher?
Answer the question using a single word or phrase.

[Assistant] 45

[User]
41 % of 801 – 150.17 =? – 57 % of 910
Answer the question using a single word or phrase.

[Assistant] 697


[User]
the area of a square garden is q square feet and the perimeter is p feet. if q = 2 p + 33, what is the perimeter of the garden in feet?
Answer the question using a single word or phrase.

[Assistant] 44

[User]
the mean of 50 observations was 41. it was found later that an observation 48 was wrongly taken as 23. the corrected new mean is
Answer the question using a single word or phrase.

[Assistant] 41.5

[User]
a batsman makes a score of 87 runs in the 17 th inning and thus increases his average by 3. find his average after 17 th inning?
Answer the question using a single word or phrase.

[Assistant] 88

[User]
in what time will a train 300 meters long cross an electric pole, if its speed is 90 km / hr
Answer the question using a single word or phrase.

[Assistant] 12 seconds

[User]
a present value of a machine is $ 1100. its value depletion rate is 10 % per annum then find the machine value after 2 years?
Answer the question using a single word or phrase.

[Assistant] $ 891


[User]
vanessa, mike and sarah have missed a total of 17 days of school this year. vanessa and mike have missed 14 days total, and mike and sarah have missed 12 days total. how many days of school did vanessa miss alone?
Answer the question using a single word or phrase.

[Assistant] 5

[User]
sandy is younger than molly by 16 years. if the ratio of their ages is 7 : 9, how old is sandy?
Answer the question using a single word or phrase.

[Assistant] 56

[User]
if both 7 ^ 2 and 3 ^ 3 are factors of the number a * 4 ^ 3 * 6 ^ 2 * 13 ^ 11, then what is the smallest possible value of a?
Answer the question using a single word or phrase.

[Assistant] 147

[User]
in a village of 2,600 people, 800 people are over 70 years old and 850 people are female. it is known that 40 percent of the females are younger than 70 years old. if no one in the village is 70 years old, what is the probability that a person chosen at random is either a male or younger than 70 years old?
Answer the question using a single word or phrase.

[Assistant] 209 / 260

[User]
a circle graph shows how the budget of a certain company was spent : 60 percent for salaries, 9 percent for research and development, 5 percent for utilities, 4 percent for equipment, 2 percent for supplies, and the remainder for transportation. if the area of each sector of the graph is proportional to the percent of the budget it represents, how many degrees of the circle are used to represent transportation?
Answer the question using a single word or phrase.

[Assistant] 72 °


[User]
two trains 140 m and 160 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks. the time which they take to cross each other is?
Answer the question using a single word or phrase.

[Assistant] 10.8

[User]
working alone, a can complete a certain kind of job in 6 hours. a and d, working together at their respective rates, can complete one of these jobs in 4 hours. in how many hours can d, working alone, complete one of these jobs?
Answer the question using a single word or phrase.

[Assistant] 12

[User]
ashok secured average of 70 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] 50

[User]
population is 23000. population increases by 10 % every year, then the population after 3 years is?
Answer the question using a single word or phrase.

[Assistant] 30613

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

[Assistant] 180 meter


[User]
two numbers are in the ratio of 5 : 7. if 33 is subtracted from each number, they are in the ratio of 1 : 2. what are the two numbers?
Answer the question using a single word or phrase.

[Assistant] 55, 77

[User]
x and y are positive integers. when x is divided by 12, the remainder is 5, and when x is divided by 13, the remainder is 3. when y is divided by 14, the remainder is 5, and when y is divided by 7, the remainder is 5. what is the least possible value of x + y?
Answer the question using a single word or phrase.

[Assistant] 48

[User]
a train running at the speed of 180 km / hr crosses a pole in 7 seconds. what is the length of the train?
Answer the question using a single word or phrase.

[Assistant] 350

[User]
the length of a rectangular plot is thrice its breadth. if the area of the rectangular plot is 432 sq m, then what is the breadth of the rectangular plot?
Answer the question using a single word or phrase.

[Assistant] 12

[User]
one side of a rectangle is 3 cm shorter than the other side. if we increase the length of each side by 1 cm, then the area of the rectangle will increase by 16 cm 2. find the lengths of all sides.
Answer the question using a single word or phrase.

[Assistant] 9 and 6


[User]
the difference between simple interest and compound interest on rs. 1200 for one year at 10 % per annum reckoned half - yearly is :
Answer the question using a single word or phrase.

[Assistant] rs. 3

[User]
if a trader sold two cars each at rs. 325475 and gains 13 % on the first and loses 13 % on the second, then his profit or loss percent on the whole is?
Answer the question using a single word or phrase.

[Assistant] 1.69 %

[User]
p, q and r have rs. 5000 among themselves. r has two - thirds of the total amount with p and q. find the amount with r?
Answer the question using a single word or phrase.

[Assistant] rs. 2000

[User]
a cab driver 5 days income was $ 250, $ 400, $ 750, $ 400, $ 500. then his average income is?
Answer the question using a single word or phrase.

[Assistant] $ 460

[User]
a man, a woman and a boy can together complete a piece of work in 3 days. if a man alone can do it in 6 days and a boy alone in 9 days, how long will a woman take to complete the work?
Answer the question using a single word or phrase.

[Assistant] 18 days


[User]
a grocer has a sale of rs. 6435, rs. 6927, rs. 6855, rs. 7230 and rs. 6562 for 5 consecutive months. how much sale must he have in the sixth month so that he gets an average sale of rs. 6700?
Answer the question using a single word or phrase.

[Assistant] s. 6191

[User]
find the cube root of 804357?
Answer the question using a single word or phrase.

[Assistant] 93

[User]
if p and q are prime numbers, how many divisors does the product p ^ 3 * q ^ 7 have?
Answer the question using a single word or phrase.

[Assistant] 32

[User]
a person spends 40 % of his salary on food, 25 % on house rent, 15 % on entertainment and 15 % on conveyance. if his savings at the end of the month is rs. 1200, then his salary per month in rupees is :
Answer the question using a single word or phrase.

[Assistant] 24000

[User]
a train, 135 meters long travels at a speed of 45 km / hr crosses a bridge in 30 seconds. the length of the bridge is
Answer the question using a single word or phrase.

[Assistant] 240 m


[User]
find the ratio between 1 hr 30 minutes and 2 hrs 40 minutes.
Answer the question using a single word or phrase.

[Assistant] 9 : 16

[User]
a batsman makes a score of 87 runs in the 17 th inning and thus increases his averages by 3. what is his average after 17 th inning?
Answer the question using a single word or phrase.

[Assistant] 39

[User]
mrs. evans gave a test to her freshmen economics class, which has 40 students enrolled and 30 of them answered question 1 correctly. if 29 answered question 2 correctly and 10 did not take the test then how many answered both questions correctly?
Answer the question using a single word or phrase.

[Assistant] 29

[User]
nina has exactly enough money to purchase 5 widgets. if the cost of each widget were reduced by $ 1.25, then nina would have exactly enough money to purchase 8 widgets. how much money does nina have?
Answer the question using a single word or phrase.

[Assistant] $ 16.7

[User]
if the sales tax reduced from 3 1 / 2 % to 3 1 / 3 %, then what difference does it make to a person who purchases an article with market price of rs. 9000?
Answer the question using a single word or phrase.

[Assistant] 15


[User]
in a kilometer race, a beats b by 40 meters or 15 seconds. what time does a take to complete the race?
Answer the question using a single word or phrase.

[Assistant] 285 sec

[User]
a reduction of 40 % in the price of bananas would enable a man to obtain 67 more for rs. 40, what is reduced price per dozen?
Answer the question using a single word or phrase.

[Assistant] 2.86

[User]
a waitress's income consists of her salary and tips. during one week, her tips were 7 / 4 of her salary. what fraction of her income for the week came from tips?
Answer the question using a single word or phrase.

[Assistant] 7 / 11

[User]
if one cat eats 1.5 rats in 1.5 days, then in howmany days 3 cats will eat 3 rats??
Answer the question using a single word or phrase.

[Assistant] 1 day

[User]
the distance between two cities a and b is 465 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] 12


[User]
what is 5 / 8 as a percent
Answer the question using a single word or phrase.

[Assistant] 62.5 %

[User]
a group of students decided to collect as many paise from each member of group as is the number of members. if the total collection amounts to rs. 77.44, the number of the member is the group is :
Answer the question using a single word or phrase.

[Assistant] 88

[User]
a library has an average of 510 visitors on sunday and 240 on other days. the average number of visitors per day in a month of 30 days beginning with a sunday is :
Answer the question using a single word or phrase.

[Assistant] 285

[User]
some of the 50 % solution of acid was removed and this was replaced with an equal amount of 10 % solution of acid. as a result, a 20 % solution of acid was obtained. what fraction of the original solution was replaced?
Answer the question using a single word or phrase.

[Assistant] 3 / 4

[User]
in a park there are two ponds with both brown ducks and green ducks. in the smaller pond there are 30 ducks and in the larger pond there are 50 ducks. if 20 % of the ducks in the smaller pond are green and 12 % of the ducks in the larger pond are green, then what percentage of ducks are green?
Answer the question using a single word or phrase.

[Assistant] 15 %


[User]
the h. c. f of two numbers is 17 and their l. c. m is 5134. if one of the numbers is 289, then the other is?
Answer the question using a single word or phrase.

[Assistant] 302

[User]
a fruit drink is made of orange, watermelon, and grape juice, where 15 percent of the drink is orange juice and 60 percent is watermelon juice. if the drink is made with 35 ounces of grape juice, how many ounces is the drink total?
Answer the question using a single word or phrase.

[Assistant] 140

[User]
a money lender finds that due to a fall in the annual rate of interest from 8 % to 7 3 / 4 % his yearly income diminishes by rs. 61.50, his capital is?
Answer the question using a single word or phrase.

[Assistant] 24,600

[User]
a 210 m long train running at the speed of 120 km / hr crosses another train running in opposite direction at the speed of 80 km / hr in 9 sec. what is the length of the other train?
Answer the question using a single word or phrase.

[Assistant] 290

[User]
walking with 4 / 5 of my usual speed, i miss the bus by 6 minutes. what is my usual time?
Answer the question using a single word or phrase.

[Assistant] 24 min


[User]
the age of father 8 years ago was thrice the age of his son. 5 years hence, father's age will be twice that of his son. the ratio of their present ages is :
Answer the question using a single word or phrase.

[Assistant] 47 : 21

[User]
if the average ( arithmetic mean ) of ( 2 a + 16 ) and ( 3 a - 8 ) is 69, what is the value of a?
Answer the question using a single word or phrase.

[Assistant] 26

[User]
what is the remainder when 43 ^ 89 is divided by 5?
Answer the question using a single word or phrase.

[Assistant] 3

[User]
the value of 99 ^ ( 91 / 99 ) x 99 is :
Answer the question using a single word or phrase.

[Assistant] 9892

[User]
for any integer k greater than 1, the symbol k * denotes the product of all the fractions of the form 1 / t, where t is an integer between 1 and k, inclusive. what is the value of 3 * / 5 *?
Answer the question using a single word or phrase.

[Assistant] 5 / 4


[User]
the length of the bridge, which a train 130 m long and traveling at 45 km / hr can cross in 30 sec is?
Answer the question using a single word or phrase.

[Assistant] 245

[User]
if the average of 55, 48, 507, 2, 684 and y is 223, then what is y?
Answer the question using a single word or phrase.

[Assistant] 42

[User]
in the xy - coordinate system, if ( m, n ) and ( m + 5, n + k ) are two points on the line with the equation x = 2 y + 5, then k =
Answer the question using a single word or phrase.

[Assistant] 5 / 2

[User]
the surface area of a sphere is 4 π r 2, where r is the radius of the sphere. if the area of the base of a hemisphere is 3, what is the surface area r of that hemisphere?
Answer the question using a single word or phrase.

[Assistant] 9

[User]
the sum of the first 70 positive even integers is 4970. what is the sum of the first 70 odd integers?
Answer the question using a single word or phrase.

[Assistant] 4900


[User]
a train crosses a platform of 150 m in 10 sec, same train crosses another platform of length 250 m in 15 sec. then find the length of the train?
Answer the question using a single word or phrase.

[Assistant] 50 m

[User]
the total number of plums that grow during each year on a certain plum tree is equal to the number of plums that grew during the previous year, less the age of the tree in years ( rounded down to the nearest integer ). during its 5 th year, the plum tree grew 50 plums. if this trend continues, how many plums will it grow during its 7 th year?
Answer the question using a single word or phrase.

[Assistant] 39

[User]
two trains 170 m and 160 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks. the time which they take to cross each other is?
Answer the question using a single word or phrase.

[Assistant] 11.88 sec

[User]
on a certain road 12 % of the motorists exceed the posted speed limit and receive speeding tickets, but 20 % of the motorists who exceed the posted speed limit do not receive speeding tickets. what percent of the motorists on the road exceed the posted speed limit?
Answer the question using a single word or phrase.

[Assistant] 15 %

[User]
a 40 - liter solution of alcohol and water is 5 percent alcohol. if 2.5 liters of alcohol and 7.5 liters of water are added to this solution, what percent of the solution produced is alcohol?
Answer the question using a single word or phrase.

[Assistant] 9 %


[User]
in a consumer survey, 80 % of those surveyed liked at least one of 3 products : 1, 2, and 3. 50 % of those asked liked product 1, 30 % liked product 2, and 20 % liked product 3. if 5 % of the people in the survey liked all 3 of the products, what percentage of the survey participants liked more than one of the 3 products?
Answer the question using a single word or phrase.

[Assistant] 15

[User]
in township k each property is taxed at 8 percent of its assessed value. if the assessed value of a property in township k is increased from $ 180,000 to $ 24,000, by how much will the property tax increase?
Answer the question using a single word or phrase.

[Assistant] $ 480

[User]
find the greatest number which on dividing 1255 and 1490, leaves a reminder of 8 and 11 respectively
Answer the question using a single word or phrase.

[Assistant] 29

[User]
sonika deposited rs. 8000 which amounted to rs. 9200 after 3 years at simple interest. had the interest been 2.5 % more. she would get how much?
Answer the question using a single word or phrase.

[Assistant] 9800

[User]
8 business executives and 7 chairmen meet at a conference. if each business executive shakes the hand of every other business executive and every chairman once, and each chairman shakes the hand of each of the business executives but not the other chairmen, how many handshakes would take place?
Answer the question using a single word or phrase.

[Assistant] 84


[User]
there are 2 positive integers x and y. what is the probability that x + y is odd?
Answer the question using a single word or phrase.

[Assistant] 1 / 2

[User]
solution x contains 20 % of material a and 80 % of material b. solution y contains 30 % of material a and 70 % of material b. a mixture of both these solutions contains 22 % of material a in the final product. how much solution x is present in the mixture?
Answer the question using a single word or phrase.

[Assistant] 80 %

[User]
set a consists of the integers from 4 to 17, inclusive, while set b consists of the integers from 6 to 20, inclusive. how many distinct integers do belong to the both sets at the same time?
Answer the question using a single word or phrase.

[Assistant] 12

[User]
a student travels from his house to school at 10 km / hr and reaches school 2 hours late. the next day he travels 16 km / hr and reaches school 1 hour early. what is the distance between his house and the school?
Answer the question using a single word or phrase.

[Assistant] 80

[User]
at a loading dock, each worker on the night crew loaded 3 / 4 as many boxes as each worker on the day crew. if the night crew has 1 / 2 as many workers as the day crew, what fraction of all the boxes loaded by the two crews did the day crew load?
Answer the question using a single word or phrase.

[Assistant] 8 / 11


[User]
the cross - section of a cannel is a trapezium in shape. if the cannel is 12 m wide at the top and 5 m wide at the bottom and the area of cross - section is 344 sq m, the depth of cannel is?
Answer the question using a single word or phrase.

[Assistant] 40

[User]
when the number 209 y 913 is exactly divisible by 11, then the smallest whole number that can replace y?
Answer the question using a single word or phrase.

[Assistant] 0

[User]
pipe p can drain the liquid from a tank in 3 / 4 the time that it takes pipe q to drain it and in 1 / 3 the time that it takes pipe r to do it. if all 3 pipes operating simultaneously but independently are used to drain liquid from the tank, then pipe q drains what portion of the liquid from the tank?
Answer the question using a single word or phrase.

[Assistant] 9 / 25

[User]
a train of length l is traveling at a constant velocity and passes a pole in t seconds. if the same train travelling at the same velocity passes a platform in 5 t seconds, then what is the length of the platform?
Answer the question using a single word or phrase.

[Assistant] 4 l

[User]
the h. c. f. of two numbers is 20 and the other two factors of their l. c. m. are 21 and 23. the larger of the two numbers is
Answer the question using a single word or phrase.

[Assistant] 460


[User]
two numbers are in the ratio of 5 : 9. if 25 be subtracted from each, they are in the ratio of 35 : 59. find the numbers?
Answer the question using a single word or phrase.

[Assistant] 150,270

[User]
a train 110 m long is running with a speed of 24 km / hr. in what time will it pass a man who is running at 6 km / hr in the direction opposite to that in which the train is going?
Answer the question using a single word or phrase.

[Assistant] 13.2 sec

[User]
worker a takes 10 hours to do a job. worker b takes 12 hours to do the same job. how long it take both a & b, working together but independently, to do the same job?
Answer the question using a single word or phrase.

[Assistant] 60 / 11 days

[User]
rs. 1500 is divided into two parts such that if one part is invested at 6 % and the other at 5 % the whole annual interest from both the sum is rs. 80. how much was lent at 5 %?
Answer the question using a single word or phrase.

[Assistant] 1000

[User]
if a truck is traveling at a constant rate of 216 kilometers per hour, how many seconds will it take the truck to travel a distance of 600 meters? ( 1 kilometer = 1000 meters )
Answer the question using a single word or phrase.

[Assistant] 10


[User]
the l. c. m of two numbers is 48. the numbers are in the ratio 4 : 3. the sum of numbers is :
Answer the question using a single word or phrase.

[Assistant] 28

[User]
a number a is squared and then multiplied by negative 6. the result of this operation is equal to 3 times the sum of fourth times a and two. what is one possible value of a?
Answer the question using a single word or phrase.

[Assistant] 1

[User]
if 20 typists can type 38 letters in 20 minutes, then how many letters will 30 typists working at the same rate complete in 1 hour?
Answer the question using a single word or phrase.

[Assistant] 171

[User]
a fair 2 sided coin is flipped 6 times. what is the probability that tails will be the result at least twice, but not more than 4 times?
Answer the question using a single word or phrase.

[Assistant] 25 / 32

[User]
two cyclist start from the same places in opposite directions. one is going towards north at 10 kmph and the other is going towards south 40 kmph. what time will they take to be 50 km apart?
Answer the question using a single word or phrase.

[Assistant] 1 hr


[User]
if x is a sum of all even integers on the interval 13... 55 and y is their number, what is the gcd ( x, y )?
Answer the question using a single word or phrase.

[Assistant] 21

[User]
how many liters of pure alcohol must be added to a 100 - liter solution that is 20 percent alcohol in order to produce a solution that is 30 percent alcohol?
Answer the question using a single word or phrase.

[Assistant] 100 / 7

[User]
the banker's gain of a certain sum due 2 years hence at 10 % per annum is rs. 24. the present worth is
Answer the question using a single word or phrase.

[Assistant] rs. 600

[User]
danny is sitting on a rectangular box. the area of the front face of the box is half the area of the top face, and the area of the top face is 1.5 times the area of the side face. if the volume of the box is 3000, what is the area of the side face of the box?
Answer the question using a single word or phrase.

[Assistant] 200

[User]
the salary of a person was reduced by 20 %. by what percent should his reduced salary be raised so as to bring it at par with his original salary?
Answer the question using a single word or phrase.

[Assistant] 25 %


[User]
if 10 % of 30 % of 50 % of a number is 90, then what is the number?
Answer the question using a single word or phrase.

[Assistant] 6000

[User]
the average of non - zero number and its square is 5 times the number. the number is?
Answer the question using a single word or phrase.

[Assistant] 9

[User]
preethi has 6 flavors of ice cream in his parlor. how many options are there for dorathy to pick a one - flavor, two - flavor, 3 - flavor, 4 - flavor, 5 flavor or 6 flavor order?
Answer the question using a single word or phrase.

[Assistant] 63

[User]
the average weight of 2 person's increases by 4.5 kg when a new person comes in place of one of them weighing 65 kg. what might be the weight of the new person?
Answer the question using a single word or phrase.

[Assistant] 74 kg

[User]
john started a business, investing rs. 18000. after 3 months and 4 months respectively, rose and tom joined him with capitals of 12000 and 9000. at the end of the year the total profit was rs. 4070. what is the difference between rose ’ s and tom ’ s share in the profit?
Answer the question using a single word or phrase.

[Assistant] s. 370


[User]
if each year the population of the country grows by 20 %, how many years will elapse before the population of the country doubles?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
peter invests a sum of money and gets back an amount of $ 815 in 3 years. david invests an equal amount of money and gets an amount of $ 854 in 4 years. if both amounts were invested at the same rate ( simple interest ) what was the sum of money invested?
Answer the question using a single word or phrase.

[Assistant] 698

[User]
andrew purchased 10 kg of grapes at the rate of 82 per kg and 6 kg of mangoes at the rate of 62 per kg. how much amount did he pay to the shopkeeper?
Answer the question using a single word or phrase.

[Assistant] 1378

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

[Assistant] 9 / 20

[User]
tom and linda stand at point a. linda begins to walk in a straight line away from tom at a constant rate of 2 miles per hour. one hour later, tom begins to jog in a straight line in the exact opposite direction at a constant rate of 7 miles per hour. if both tom and linda travel indefinitely, what is the positive difference, in minutes, between the amount of time it takes tom to cover half of the distance that linda has covered and the amount of time it takes tom to cover twice the distance that linda has covered?
Answer the question using a single word or phrase.

[Assistant] 56


[User]
64 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. find the smallest part?
Answer the question using a single word or phrase.

[Assistant] 28

[User]
a man walking at the rate of 6 km / hr crosses a bridge in 15 minutes. the length of the bridge is ______.
Answer the question using a single word or phrase.

[Assistant] 1500 m

[User]
if w = 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]
if m and n are positive integers and m ^ 2 + n ^ 2 = 89, what is the value of m ^ 3 + n ^ 3?
Answer the question using a single word or phrase.

[Assistant] 637

[User]
the ratio of the number of red cars in a certain parking lot to the number of black cars is 3 to 8. if there are 70 black cars in the lot, how many red cars are there in the lot?
Answer the question using a single word or phrase.

[Assistant] 26


[User]
in 1970 there were 8,902 women stockbrokers in the united states. by 1978 the number had increased to 19,947. approximately what was the percent increase?
Answer the question using a single word or phrase.

[Assistant] 125 %

[User]
two kinds of vodka are mixed in the ratio 1 : 2 and 2 : 1 and they are sold fetching the profit 30 % and 20 % respectively. if the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4 / 3 and 5 / 3 times respectively, then the mixture will fetch the profit of
Answer the question using a single word or phrase.

[Assistant] 23 %

[User]
a rectangular room has the rectangular shaped rug shown as above figure such that the rug ’ s area is 200 square feet and its length is 10 feet longer than its width. if the uniform width between the rug and room is 10 feet, what is the area of the region uncovered by the rug ( shaded region ), in square feet?
Answer the question using a single word or phrase.

[Assistant] 1000

[User]
the sum of money will be double itself in 20 years and simple interest find rate of interest?
Answer the question using a single word or phrase.

[Assistant] 5 %

[User]
how many positive even integers less than 100 contain digits 3 or 7?
Answer the question using a single word or phrase.

[Assistant] 10


[User]
if the simple interest on a sum of money for 4 years at 8 % per annum is rs. 560, 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. 630.86

[User]
bert left the house with n dollars. he spent 1 / 3 of this at the hardware store, then $ 7 at the dry cleaners, and then half of what was left at the grocery store. when he got home, he had $ 10.50 left in his pocket. what was the value of n?
Answer the question using a single word or phrase.

[Assistant] $ 42

[User]
the average age of a group of 10 persons was decreased by 3 years when one person, whose age was 44 years, was replaced by a new person. find the age of the new person?
Answer the question using a single word or phrase.

[Assistant] 14

[User]
a train 360 m long is running at a speed of 42 km / hr. in what time will it pass a bridge 140 m long?
Answer the question using a single word or phrase.

[Assistant] 43 sec

[User]
pascal has 96 miles remaining to complete his cycling trip. if he reduced his current speed by 4 miles per hour, the remainder of the trip would take him 16 hours longer than it would if he increased his speed by 50 %. what is his current speed t?
Answer the question using a single word or phrase.

[Assistant] 8


[User]
in town p, 60 percent of the population are employed, and 45 percent of the population are employed males. what percent of the employed people in town p are females?
Answer the question using a single word or phrase.

[Assistant] 25 %

[User]
there are 2 sections a and b in a class, consisting of 26 and 34 students respectively. if the average weight of section a is 50 kg and that of section b is 30 kg, find the average of the whole class?
Answer the question using a single word or phrase.

[Assistant] 38.66 kg

[User]
find the amount on rs. 4000 in 2 years, the rate of interest being 4 % per first year and 5 % for the second year?
Answer the question using a single word or phrase.

[Assistant] 4368

[User]
a shopkeeper forced to sell at cost price, uses a 900 grams weight for a kilogram. what is his gain percent?
Answer the question using a single word or phrase.

[Assistant] 11.11 %

[User]
john want to buy a $ 100 trouser at the store, but he think it â € ™ s too expensive. finally, it goes on sale for $ 50. what is the percent decrease?
Answer the question using a single word or phrase.

[Assistant] 50 %


[User]
what are the last two digits of ( 301 * 402 * 503 * 604 * 646 * 547 * 449 * 349 ) ^ 2
Answer the question using a single word or phrase.

[Assistant] 24

[User]
divide rs. 1800 among a, b and c so that a receives 2 / 5 as much as b and c together and b receives 1 / 5 as a and c together. a's share is?
Answer the question using a single word or phrase.

[Assistant] 600

[User]
the ratio between the number of sheep and the number of horses at the stewar farm is 4 to 7. if each of horse is fed 230 ounces of horse food per day and the farm needs a total 12880 ounces of horse food per day. what is number sheep in the form??
Answer the question using a single word or phrase.

[Assistant] 32

[User]
a man purchased 3 blankets @ rs. 100 each, 5 blankets @ rs. 150 each and two blankets at a certain rate which is now slipped off from his memory. but he remembers that the average price of the blankets was rs. 154. find the unknown rate of two blankets?
Answer the question using a single word or phrase.

[Assistant] 490

[User]
last year, company x paid out a total of $ 1, 050,000 in salaries to its 21 employees. if no employee earned a salary that is more than 15 % greater than any other employee, what is the lowest possible salary that any one employee earned?
Answer the question using a single word or phrase.

[Assistant] $ 43,750


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

[Assistant] 1 / 3

[User]
when the positive integer x is divided by 9, the remainder is 5. what is the remainder when 8 x is divided by 9?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
a man can row upstream at 25 kmph and downstream at 65 kmph, and then find the speed of the man in still water?
Answer the question using a single word or phrase.

[Assistant] 45

[User]
a train crosses a bridge of length 150 m in 7.5 seconds and a lamp post on the bridge in 2.5 seconds. what is the length of the train in metres?
Answer the question using a single word or phrase.

[Assistant] 75 m

[User]
at a special sale, 12 tickets can be purchased for the price of 3 tickets. if 12 tickets are purchased at the sale, the amount saved will be what percent of the original price of the 12 tickets?
Answer the question using a single word or phrase.

[Assistant] 75 %


[User]
if x > 0, x / 40 + x / 20 is what percent of x?
Answer the question using a single word or phrase.

[Assistant] 75 %

[User]
the average age of students of a class is 15.8 years. the average age of boys in the class is 16.6 years and that of the girls is 15.4 years. the ration of the number of boys to the number of girls in the class is :
Answer the question using a single word or phrase.

[Assistant] 1 : 2

[User]
solution a is 20 % salt and solution b is 60 % salt. if you have 30 ounces of solution a and 60 ounces of solution b, in what ratio could you mix solution a with solution b to produce 50 ounces of a 50 % salt solution?
Answer the question using a single word or phrase.

[Assistant] 1 : 3

[User]
if 11.25 m of a uniform steel rod weighs 42.75 kg. what will be the weight of 8 m of the same rod?
Answer the question using a single word or phrase.

[Assistant] 30.4 kg

[User]
the radius of the wheel of a bus is 250 cms and the speed of the bus is 66 km / h, then the r. p. m. ( revolutions per minutes ) of the wheel is
Answer the question using a single word or phrase.

[Assistant] 70


[User]
1000 men have provisions for 21 days. if 800 more men join them, for how many days will the provisions last now?
Answer the question using a single word or phrase.

[Assistant] 11.6

[User]
a rectangular wall is covered entirely with two kinds of decorative tiles : regular and jumbo. 1 / 3 of the tiles are jumbo tiles, which have a length three times that of regular tiles and have the same ratio of length to width as the regular tiles. if regular tiles cover 40 square feet of the wall, and no tiles overlap, what is the area of the entire wall?
Answer the question using a single word or phrase.

[Assistant] 220

[User]
how many positive integers less than 10,000 are such that the product of their digits is 210?
Answer the question using a single word or phrase.

[Assistant] 54

[User]
find the last term of a g. p whose first term is 9 and common ratio is ( 1 / 3 ) if the sum of the terms of the g. p is ( 40 / 3 )
Answer the question using a single word or phrase.

[Assistant] 1 / 3

[User]
the average of marks obtained by 120 boys was 36. if the average of marks of passed boys was 39 and that of failed boys was 15, the number of boys who passed the examination is?
Answer the question using a single word or phrase.

[Assistant] 105


[User]
p is able to do a piece of work in 20 days and q can do the same work in 10 days. if they can work together for 2 days, what is the fraction of work left?
Answer the question using a single word or phrase.

[Assistant] 7 / 10

[User]
carina has 70 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] 4

[User]
the average weight of a, b and c is 45 kg. if the average weight of a and b be 42 kg and that of b and c be 43 kg, then the weight of b is :
Answer the question using a single word or phrase.

[Assistant] 35 kg

[User]
john found that the average of 15 numbers is 40. if 11 is added to each number then the mean of number is?
Answer the question using a single word or phrase.

[Assistant] 51

[User]
a boat goes 100 km downstream in 8 hours, and 75 km upstream in 15 hours. the speed of the stream is?
Answer the question using a single word or phrase.

[Assistant] 3.75


[User]
what is the number of integers from 1 to 1000 ( inclusive ) that are divisible by neither 11 nor by 30?
Answer the question using a single word or phrase.

[Assistant] 884

[User]
two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 26 kmph and 21 kmph respectively. when they meet, it is found that one train has traveled 60 km more than the other one. the distance between the two stations is?
Answer the question using a single word or phrase.

[Assistant] 564

[User]
what is the smallest no. which must be added to 25268 so as to obtain a sum which is divisible by 11?
Answer the question using a single word or phrase.

[Assistant] 10

[User]
a train 455 m long, running with a speed of 63 km / hr will pass a tree in?
Answer the question using a single word or phrase.

[Assistant] 39 sec

[User]
the price of an item is discounted 10 percent on day 1 of a sale. on day 2, the item is discounted another 10 percent, and on day 3, it is discounted an additional 15 percent. the price of the item on day 3 is what percentage of the sale price on day 1?
Answer the question using a single word or phrase.

[Assistant] 76.5 %


[User]
an aeroplane covers a certain distance at a speed of 120 kmph in 4 hours. to cover the same distance in 1 2 / 3 hours, it must travel at a speed of :
Answer the question using a single word or phrase.

[Assistant] 288

[User]
the present age of a father is 3 years more than 3 times the age of his son. 5 years hence, father's age will be 10 years more than twice the age of the son. find the present age of the father.
Answer the question using a single word or phrase.

[Assistant] 27

[User]
the h. c. f. of two numbers is 12 and their l. c. m. is 600. if one of the number is 20, find the other?
Answer the question using a single word or phrase.

[Assistant] 360

[User]
what is the next no. 4 12 84
Answer the question using a single word or phrase.

[Assistant] 732

[User]
x and y are positive integers. when x is divided by 9, the remainder is 2, and when x is divided by 7, the remainder is 4. when y is divided by 11, the remainder is 3, and when y is divided by 13, the remainder is 12. what is the least possible value of y - x?
Answer the question using a single word or phrase.

[Assistant] 14


[User]
at joes steakhouse the hourly wage for a chef is 22 % greater than that of a dishwasher, and the hourly wage of a dishwasher is half as much as the hourly wage of a manager. if a managers wage is $ 8.50 per hour, how much less than a manager does a chef earn each hour?
Answer the question using a single word or phrase.

[Assistant] $ 3.315

[User]
if xerox paper costs 5 cents a sheet and a buyer gets 10 % discount on all xerox paper one buys after the first 2000 papers and 20 % discount after first 10000 papers, how much will it cost to buy 15000 sheets of xerox paper?
Answer the question using a single word or phrase.

[Assistant] $ 700

[User]
if the sum of two positive integers is 18 and the difference of their squares is 36, what is the product of the two integers?
Answer the question using a single word or phrase.

[Assistant] 80

[User]
a certain number when divided by 80 leaves a remainder 25, what is the remainder if the same no. be divided by 15?
Answer the question using a single word or phrase.

[Assistant] 7

[User]
a candidate appearing for an examination has to secure 35 % marks to pass paper i. but he secured only 42 marks and failed by 23 marks. what is the maximum mark for paper i?
Answer the question using a single word or phrase.

[Assistant] 186


[User]
how many odd integers from 1 to 50 ( both inclusive ) have odd number of factors?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
a rectangular plot measuring 90 metres by 40 metres is to be enclosed by wire fencing. if the poles of the fence are kept 5 metres apart, how many poles will be needed?
Answer the question using a single word or phrase.

[Assistant] 52

[User]
find the value for x from below equation : x / 3 = - 2?
Answer the question using a single word or phrase.

[Assistant] - 6

[User]
dan can do a job alone in 12 hours. annie, working alone, can do the same job in just 9 hours. if dan works alone for 4 hours and then stops, how many hours will it take annie, working alone, to complete the job?
Answer the question using a single word or phrase.

[Assistant] 6

[User]
the measurement of a rectangular box with lid is 25 cmx 18 cmx 18 cm. find the volume of the largest sphere that can be inscribed in the box ( in terms of π cm 3 ). ( hint : the lowest measure of rectangular box represents the diameter of the largest sphere )
Answer the question using a single word or phrase.

[Assistant] 972


[User]
the probability that a computer company will get a computer hardware contract is 3 / 4 and the probability that it will not get a software contract is 5 / 9. if the probability of getting at least one contract is 4 / 5, what is the probability that it will get both the contracts?
Answer the question using a single word or phrase.

[Assistant] 71 / 180

[User]
working alone at its constant rate, machine a produces x boxes in 10 minutes and working alone at its constant rate, machine b produces 3 x boxes in 5 minutes. how many minutes does it take machines a and b, working simultaneously at their respective constant rates, to produce 3 x boxes?
Answer the question using a single word or phrase.

[Assistant] 4.2 minutes

[User]
a student chose a number, multiplied it by 4, then subtracted 138 from the result and got 102. what was the number he chose?
Answer the question using a single word or phrase.

[Assistant] 60

[User]
what is the speed of the stream if a canoe rows upstream at 4 km / hr and downstream at 12 km / hr
Answer the question using a single word or phrase.

[Assistant] 4 kmph

[User]
when asked what the time is, a person answered that the amount of time left is 3 / 5 of the time already completed. what is the time.
Answer the question using a single word or phrase.

[Assistant] 3 pm


[User]
equal amount of water were poured into two empty jars of different capacities, which made one jar 1 / 7 full and other jar 1 / 6 full. if the water in the jar with lesser capacity is then poured into the jar with greater capacity, what fraction of the larger jar will be filled with water?
Answer the question using a single word or phrase.

[Assistant] 2 / 7

[User]
given f ( x ) = 3 x – 5, for what value of x does 2 * [ f ( x ) ] – 10 = f ( x – 2 )?
Answer the question using a single word or phrase.

[Assistant] 3

[User]
the population of a town is 10000. it increases annually at the rate of 40 % p. a. what will be its population after 2 years?
Answer the question using a single word or phrase.

[Assistant] 19600

[User]
for any integer n greater than 1, # n denotes the product of all the integers from 1 to n, inclusive. how many prime numbers e are there between # 6 + 2 and # 6 + 6, inclusive?
Answer the question using a single word or phrase.

[User]
the unit digit in the product ( 784 x 618 x 917 x 463 ) is :
Answer the question using a single word or phrase.

[Assistant] 2


[User]
the average age of 38 students in a group is 14 years. when teacher â € ™ s age is included to it, the average increases by one. what is the teacher â € ™ s age in years?
Answer the question using a single word or phrase.

[Assistant] 53

[User]
the area of a square is 4761 sq cm. find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square.
Answer the question using a single word or phrase.

[Assistant] 15 : 46

[User]
a positive integer n is a perfect number provided that the sum of all the positive factors of n, including 1 and n, is equal to 2 n. what is the sum of the reciprocals of all the positive factors of the perfect number 28?
Answer the question using a single word or phrase.

[Assistant] 2

[User]
two trains 200 m and 150 m long are running on parallel rails at the rate of 40 kmph and 46 kmph respectively. in how much time will they cross each other, if they are running in the same direction?
Answer the question using a single word or phrase.

[Assistant] 210 sec

[User]
an employee ’ s annual salary was increased 50 %. if her old annual salary equals $ 80,000, what was the new salary?
Answer the question using a single word or phrase.

[Assistant] $ 120,000


[User]
a can do a job in 15 days and b in 20 days. if they work on it together for 8 days, then the fraction of the work that is left is?
Answer the question using a single word or phrase.

[Assistant] 1 / 15

[User]
a dishonest milkman wants to make a profit on the selling of milk. he would like to mix water ( costing nothing ) with milk costing rs. 33 per litre so as to make a profit of 20 % on cost when he sells the resulting milk and water mixture for rs. 36 in what ratio should he mix the water and milk?
Answer the question using a single word or phrase.

[Assistant] 1 : 10

[User]
a dishonest shopkeeper professes to sell pulses at the cost price, but he uses a false weight of 980 gm. for a kg. his gain is … %.
Answer the question using a single word or phrase.

[Assistant] 2.04 %

[User]
if 20 % of a number = 400, then 120 % of that number will be?
Answer the question using a single word or phrase.

[Assistant] 2400

[User]
at a certain resort, each of the 39 food service employees is trained to work in a minimum of 1 restaurant and a maximum of 3 restaurants. the 3 restaurants are the family buffet, the dining room, and the snack bar. exactly 17 employees are trained to work in the family buffet, 18 are trained to work in the dining room, and 12 are trained to work in the snack bar. if 4 employees are trained to work in exactly 2 restaurants, how many employees are trained to work in all 3 restaurants?
Answer the question using a single word or phrase.

[Assistant] 2


[User]
a tank holds x gallons of a saltwater solution that is 20 % salt by volume. one fourth of the water is evaporated, leaving all of the salt. when 6 gallons of water and 12 gallons of salt are added, the resulting mixture is 33 1 / 3 % salt by volume. what is the value of x?
Answer the question using a single word or phrase.

[Assistant] 90

[User]
there are 250 female managers in a certain company. find the total number 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] 625

[User]
income and expenditure of a person are in the ratio 15 : 8. if the income of the person is rs. 15000, then find his savings?
Answer the question using a single word or phrase.

[Assistant] 7000

[User]
ashok secured average of 78 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] 98

[User]
a man performs 1 / 2 of the total journey by rail, 1 / 3 by bus and the remaining 4 km on foot. his total journey is
Answer the question using a single word or phrase.

[Assistant] 24 km


[User]
a hat company ships its hats, individually wrapped, in 8 - inch by 10 - inch by 12 - inch boxes. each hat is valued at $ 7.50. if the company ’ s latest order required a truck with at least 384,000 cubic inches of storage space in which to ship the hats in their boxes, what was the minimum value of the order?
Answer the question using a single word or phrase.

[Assistant] $ 3,000

[User]
if p / q = 3 / 5, then 2 p + q =?
Answer the question using a single word or phrase.

[Assistant] 11

[User]
fred and sam are standing 100 miles apart and they start walking in a straight line toward each other at the same time. if fred walks at a constant speed of 5 miles per hour and sam walks at a constant speed of 5 miles per hour, how many miles has sam walked when they meet?
Answer the question using a single word or phrase.

[Assistant] 75

[User]
the difference between a two digit number and the number obtained by interchanging the digits is 36. what is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1 : 2?
Answer the question using a single word or phrase.

[Assistant] 8

[User]
40 + 5 * 12 / ( 180 / 3 ) =?
Answer the question using a single word or phrase.

[Assistant] 41


[User]
on dividing 13787 by a certain number, we get 89 as quotient and 14 as remainder. what is the divisor?
Answer the question using a single word or phrase.

[Assistant] 155

[User]
in a mixture 60 litres, the ra ɵ o of milk and water 2 : 1. if the this ra ɵ o 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 scale 6 ft. 8 inches long is divided into 4 equal parts. find the length of each part
Answer the question using a single word or phrase.

[Assistant] 20 inches

[User]
ramu bought an old car for rs. 42000. he spent rs. 12000 on repairs and sold it for rs. 64900. what is his profit percent?
Answer the question using a single word or phrase.

[Assistant] 20.18 %

[User]
there are 79 people that own pets. 15 people own only dogs, 10 people own only cats, 5 people own only cats and dogs, 3 people own cats, dogs and snakes. how many total snakes are there?
Answer the question using a single word or phrase.

[Assistant] 49


[User]
a man traveled a total distance of 900 km. he traveled one - third of the whole trip by plane and the distance traveled by train is two - thirds of the distance traveled by bus. if he traveled by train, plane and bus, how many kilometers did he travel by bus?
Answer the question using a single word or phrase.

[Assistant] 360

[User]
the cash difference between the selling prices of an article at a profit of 2 % and 6 % is rs. 3. the ratio of the two selling prices is?
Answer the question using a single word or phrase.

[Assistant] 51 : 53

[User]
in an it company, there are a total of 60 employees including 50 programmers. the number of male employees is 80, including 35 male programmers. how many employees must be selected to guaranty that we have 3 programmers of the same sex?
Answer the question using a single word or phrase.

[Assistant] 15

[User]
machine a takes 20 hours to complete a certain job and starts that job at 6 am. after four hour of working alone, machine a is joined by machine b and together they complete the job at 1 pm. how long would it have taken machine b to complete the job if it had worked alone for the entire job?
Answer the question using a single word or phrase.

[Assistant] 4.62

[User]
two pipes can fill the cistern in 10 hr and 12 hr respectively, while the third empty it in 15 hr. if all pipes are opened simultaneously, then the cistern will be filled in
Answer the question using a single word or phrase.

[Assistant] 8.57 hr


[User]
to fill a tank, 100 buckets of water is required. how many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to four - fifth of its present?
Answer the question using a single word or phrase.

[Assistant] 125

[User]
in what time will a railway train 65 m long moving at the rate of 32 kmph pass a telegraph post on its way?
Answer the question using a single word or phrase.

[Assistant] 7 sec

[User]
a rectangular grass field is 75 m * 55 m, it has a path of 2.8 m wide all round it on the outside. find the area of the path and the cost of constructing it at rs. 2 per sq m?
Answer the question using a single word or phrase.

[Assistant] s. 1518.8

[User]
the rational number for recurring decimal 0.125125.... is :
Answer the question using a single word or phrase.

[Assistant] 125 / 999

[User]
if n is a natural number, then ( 7 ( n 2 ) + 7 n ) is always divisible by :
Answer the question using a single word or phrase.

[Assistant] 7 and 14


[User]
how many of the positive divisors of 360 are also multiples of 4 not including 360?
Answer the question using a single word or phrase.

[Assistant] 11

[User]
3 candidates in an election and received 1136, 8236 and 11628 votes respectively. what % of the total votes did the winning candidate gotin that election?
Answer the question using a single word or phrase.

[Assistant] 55.4 %

[User]
if 12 men or 20 women can do a piece of work in 81 days, then in how many days can 9 men and 12 women together do the work?
Answer the question using a single word or phrase.

[Assistant] 60 days

[User]
increasing the original price of an article by 15 percent and then increasing the new price by 15 percent is equivalent to increasing the original price by
Answer the question using a single word or phrase.

[Assistant] 32.25 %

[User]
a merchant purchased a jacket for $ 48 and then determined a selling price that equalled the purchase price of the jacket plus a markup that was 40 percent of the selling price. during a sale, the merchant discounted the selling price by 20 percent and sold the jacket. what was the merchant ’ s gross profit on this sale?
Answer the question using a single word or phrase.

[Assistant] $ 16


[User]
a company has 15 managers and 75 associates. the 15 managers have an average salary of $ 90,000. the 75 associates have an average salary of $ 30,000. what is the average salary for the company?
Answer the question using a single word or phrase.

[Assistant] $ 40,000

[User]
in an election, candidate a got 75 % of the total valid votes. if 15 % of the total votes were declared invalid and the total numbers of votes is 560000, find the number of valid vote polled in favour of candidate?
Answer the question using a single word or phrase.

[Assistant] 357000

[User]
if 7 is one solution of the equation x ^ 2 + 3 x + k = 10, where k is a constant, what is the other solution?
Answer the question using a single word or phrase.

[Assistant] - 10

[User]
if both 112 and 33 are factors of the number a * 43 * 62 * 1311, then what is the smallest possible value of a?
Answer the question using a single word or phrase.

[Assistant] 363

[User]
two isosceles triangles have equal vertical angles and their areas are in the ratio 9 : 25. find the ratio of their corresponding heights.
Answer the question using a single word or phrase.

[Assistant] 3 / 5


[User]
a straight line in the xy - plane has y - intercept of 20. on this line the x - coordinate of the point is 150 and y - coordinate is 600 then what is the slope of the line?
Answer the question using a single word or phrase.

[Assistant] 3.9

[User]
a case contains c cartons. each carton contains b boxes, and each box contains 400 paper clips. how many paper clips are contained in 2 cases?
Answer the question using a single word or phrase.

[Assistant] 800 bc

[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. 5300, what is the length of the plot in metres?
Answer the question using a single word or phrase.

[Assistant] 200

[User]
mohit sold an article for $ 15000. had he offered a discount of 10 % on the selling price, he would have earned a profit of 8 %. what is the cost price of the article?
Answer the question using a single word or phrase.

[Assistant] 12500

[User]
calculate the time it will take for a train that is 250 meter long to pass a bridge of 150 meter length, if the speed of the train is 35 km / hour?
Answer the question using a single word or phrase.

[Assistant] 41.15 seconds


[User]
a number increased by 20 % gives 480. the number is?
Answer the question using a single word or phrase.

[Assistant] 400

[User]
if k ^ 3 is divisible by 1620, what is the least possible value of integer k?
Answer the question using a single word or phrase.

[Assistant] 90

[User]
ramesh purchased a refrigerator for rs. 12500 after getting a discount of 20 % on the labelled price. he spent rs. 125 on transport and rs. 250 on installation. at what price should it be sold so that the profit earned would be 16 % if no discount was offered?
Answer the question using a single word or phrase.

[Assistant] 18560

[User]
in a simultaneous throw of a pair of dice, find the probability of getting a total more than 7
Answer the question using a single word or phrase.

[Assistant] 5 / 12

[User]
a certain taxi company charges $ 3.00 for the first 1 / 5 of a mile plus $ 0.40 for each additional 1 / 5 of a mile. what would this company charge for a taxi ride that was 8 miles long?
Answer the question using a single word or phrase.

[Assistant] 18.6


[User]
two pipes a and b can fill a tank in 10 hour and 15 hours respectively. if both the pipes are opened simultaneously, how much time will be taken to fill the tank?
Answer the question using a single word or phrase.

[Assistant] 6 hrs

[User]
if x # y is defined to equal x ^ 2 / y for all x and y, then ( - 1 # 3 ) # 3 =
Answer the question using a single word or phrase.

[Assistant] 1 / 27

[User]
how many integers between 362,855 and 852,755 have tens digit 1 and units digit 3?
Answer the question using a single word or phrase.

[Assistant] 4,889

[User]
a train covers a distance of 12 km in 10 min. if it takes 15 sec to pass a telegraph post, then the length of the train is?
Answer the question using a single word or phrase.

[Assistant] 300 m

[User]
a certain country had a total annual expenditure of $ 4.8 x 10 ^ 11 last year. if the population of the country was 240 million last year, what was the per capita expenditure?
Answer the question using a single word or phrase.

[Assistant] $ 2,000


[User]
a waitress's income consists of her salary and tips. during one week, her tips were 2 / 4 of her salary. what fraction of her income for the week came from tips?
Answer the question using a single word or phrase.

[Assistant] 1 / 3

[User]
what is the sum of all even numbers from 1 to 601?
Answer the question using a single word or phrase.

[Assistant] 90300

[User]
60 percent of movie theatres in town x have 3 screens or less. 20 % of those theatres sell an average of more than $ 200 worth of popcorn per showing. 56 percent of all the movie theatres in town x sell $ 300 or less of popcorn per showing. what percent of all the stores on the street have 4 or more screens and sell an average of more than $ 300 worth of popcorn per day?
Answer the question using a single word or phrase.

[Assistant] 18

[User]
in a certain pond, 70 fish were caught, tagged, and returned to the pond. a few days later, 50 fish were caught again, of which 2 were found to have been tagged. if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond?
Answer the question using a single word or phrase.

[Assistant] 1,750

[User]
there are 990 male and female participants in a meeting. half the female participants and one - quarter of the male participants are democrats. one - third of all the participants are democrats. how many of the democrats are female?
Answer the question using a single word or phrase.

[Assistant] 165


[User]
5 years ago amith was 3 times as old as his daughter and 10 years hence, he will be two times as old as his daughter. then amith ’ s current age is,
Answer the question using a single word or phrase.

[Assistant] 20

[User]
at a tanning salon, customers are charged $ 10 for their first visit in a calendar month and $ 7 for each visit after that in the same calendar month. in the last calendar month, 100 customers visited the salon, of which 30 made a second visit, and 10 made a third visit. all other customers made only one visit. if those visits were the only source of revenue for the salon, what was the revenue for the last calendar month at the salon?
Answer the question using a single word or phrase.

[Assistant] $ 1280

[User]
a retailer buys a radio for rs 232. his overhead expenses are rs 15. he sellis the radio for rs 300. the profit percent of the retailer is
Answer the question using a single word or phrase.

[Assistant] 21.4 %

[User]
a batch of cookies was divided among 3 tins : 2 / 3 of all the cookies were placed in either the blue tin or the green tin, and the rest were placed in the red tin. if 1 / 4 of all the cookies were placed in the blue tin, what fraction q of the cookies that were placed in the other tins were placed in the green tin?
Answer the question using a single word or phrase.

[Assistant] 5 / 9

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

[Assistant] 6


[User]
a man engaged a servant on the condition that he would pay him rs. 710 and a uniform after a year service. he served only for 8 months and got rs. 460 and a uniform. find the price of the uniform?
Answer the question using a single word or phrase.

[Assistant] rs. 40

[User]
the cricket team of 11 members is 26 yrs old & the wicket keeper is 3 yrs older. if the ages ofthese 2 are excluded, the average age of theremaining players is 1 year less than the average age of the whole team. what is the average age of the team?
Answer the question using a single word or phrase.

[Assistant] 23

[User]
a student has to obtain 33 % of the total marks to pass. he got 125 marks and failed by 73 marks. the maximum marks are?
Answer the question using a single word or phrase.

[Assistant] 600

[User]
a ratio between two numbers is 3 : 4 and their l. c. m. is 180. the first number is
Answer the question using a single word or phrase.

[Assistant] 45

[User]
mike, jim and bob are all professional fisherman. mike can catch 30 fish in one hour, jim can catch twice as much and bob can catch 50 % more than jim. if the 3 started to fish together and after 40 minutes mike and bob left, how many fish did the 3 fishermen catch in one hour?
Answer the question using a single word or phrase.

[Assistant] 140


[User]
a cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 5 hours. if both the taps are opened simultaneously, then after how much time will the cistern get filled?
Answer the question using a single word or phrase.

[Assistant] 20

[User]
what is the sum of all 3 digit numbers that leave a remainder of'2'when divided by 4?
Answer the question using a single word or phrase.

[Assistant] 123,750

[User]
in an election a candidate who gets 60 % of the votes is elected by a majority of 1200 votes. what is the total number of votes polled?
Answer the question using a single word or phrase.

[Assistant] 6000

[User]
if money is invested at r percent interest, compounded annually, the amount of investment will double in approximately 70 / r years. if pat's parents invested $ 5000 in a long term bond that pays 8 percent interest, compounded annually, what will be the approximate total amount of investment 18 years later, when pat is ready for college?
Answer the question using a single word or phrase.

[Assistant] $ 20000

[User]
tomeka is playing a dice game. if she rolls the same number on her second roll as she rolls on her first, she wins. each roll is with two, fair, 6 - sided dice. if tomeka rolled a 7 on her first roll, what is the probability that she will win on her second roll?
Answer the question using a single word or phrase.

[Assistant] 1 / 6


[User]
a company has 15 managers and 75 associates. the 15 managers have an average salary of $ 90000. the 75 associates have an average salary of $ 30000. what is the average salary for the company?
Answer the question using a single word or phrase.

[Assistant] $ 40,000

[User]
a man can row upstream at 37 kmph and downstream at 53 kmph, and then find the speed of the man in still water?
Answer the question using a single word or phrase.

[Assistant] 45

[User]
a certain car dealership sells economy cars, luxury cars, and sport utility vehicles. the ratio of economy to luxury cars is 3 : 2. the ratio of economy cars to sport utility vehicles is 5 : 4. what is the ratio of luxury cars to sport utility vehicles?
Answer the question using a single word or phrase.

[Assistant] 10 : 12

[User]
in a certain apartment building, there are one - bedroom and two - bedroom apartments. the rental prices of the apartment depend on a number of factors, but on average, two - bedroom apartments have higher rental prices than do one - bedroom apartments. let m be the average rental price for all apartments in the building. if m is $ 1,500 higher than the average rental price for all one - bedroom apartments, and if the average rental price for all two - bedroom apartments is $ 6,000 higher that m, then what percentage of apartments in the building are two - bedroom apartments?
Answer the question using a single word or phrase.

[Assistant] 20 %

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

[Assistant] 9


[User]
john and jane went out for a dinner and they ordered the same dish. both used a 10 % discount coupon. john paid a 15 % tip over the original price of the dish, while jane paid the tip over the discounted price for the coupon. if john paid $ 0.54 more than jane, what was the original price of the dish?
Answer the question using a single word or phrase.

[Assistant] 36

[User]
80 % of 5 / 8 =
Answer the question using a single word or phrase.

[Assistant] 0.5

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

[Assistant] 12

[User]
angelina walked 720 meters from her home to the grocery at a constant speed. she then walked 480 meters to the gym at double the speed. she spent 40 seconds less on her way from the grocery to the gym than on her way from home to the grocery. what was angelina's speed, in meters per second, from the grocery to the gym?
Answer the question using a single word or phrase.

[Assistant] 24

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

[Assistant] 11


[User]
john and peter are among the 9 players a volleyball coach can choose from to field a 6 - player team. if all 6 players are chosen at random, what is the probability of choosing a team that includes john and peter?
Answer the question using a single word or phrase.

[Assistant] 5 / 12

[User]
a certain company has records stored with a record storage firm in 15 - inch by 12 - inch by 10 - inch boxes. the boxes occupy 1.08 million cubic inches of space. if the company pays $ 0.6 per box per month for the record storage, what is the total amount that the company pays each month for record storage?
Answer the question using a single word or phrase.

[Assistant] e. 360

[User]
how many diagonals does a 62 - sided convex polygon have?
Answer the question using a single word or phrase.

[Assistant] 1829

[User]
if y > 0, ( 8 y ) / 20 + ( 3 y ) / 10 is what percent of y?
Answer the question using a single word or phrase.

[Assistant] 70 %

[User]
how many kg of pure salt must be added to 30 kg of 2 % solution of salt and water to increase it to a 10 % solution?
Answer the question using a single word or phrase.

[Assistant] 8 / 3


[User]
on dividing 14698 by a certain number, we get 89 as quotient and 14 as remainder. what is the divisor?
Answer the question using a single word or phrase.

[Assistant] 165

[User]
how long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 190 m in length?
Answer the question using a single word or phrase.

[Assistant] 18.0 sec

[User]
paulson spends 75 % of his income. his income is increased by 20 % and he increased his expenditure by 10 %. find the percentage increase in his savings?
Answer the question using a single word or phrase.

[Assistant] 50 %

[User]
rice weighing 33 / 4 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] 33

[User]
ratio between rahul and deepak is 4 : 3, after 6 years rahul age will be 22 years. what is deepak present age?
Answer the question using a single word or phrase.

[Assistant] 12


[User]
in a certain company, a third of the workers do not have a retirement plan. 20 % of the workers who do not have a retirement plan are women, and 40 % of the workers who do have a retirement plan are men. if 112 of the workers of that company are men, how many of the workers are women?
Answer the question using a single word or phrase.

[Assistant] 98

[User]
if an object travels 70 feet in 2 seconds, what is the object ’ s approximate speed in miles per hour? ( note : 1 mile = 5280 feet )
Answer the question using a single word or phrase.

[Assistant] 23.86

[User]
85 litres of diesel is required to travel 600 km using a 800 cc engine. if the volume of diesel required to cover a distance varies directly as the capacity of the engine, then how many litres of diesel is required to travel 800 km using 1200 cc engine?
Answer the question using a single word or phrase.

[Assistant] 170 litres

[User]
evaluate 28 % of 650 + 45 % of 280
Answer the question using a single word or phrase.

[Assistant] 308

[User]
a can give b 300 meters start and c 600 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] 428.57


[User]
there are 2000 students in a school and among them 10 % of them attends chess class. 50 % of the students who are in the chess class are also enrolled for swimming. no other students are interested in swimming so how many will attend the swimming class if all enrolled attends?
Answer the question using a single word or phrase.

[Assistant] 100

[User]
a new tower has just been built at the verbico military hospital ; the number of beds available for patients at the hospital is now 6 times the number available before the new tower was built. currently, 1 / 3 of the hospital's original beds, as well as 1 / 5 of the beds in the new tower, are occupied. for the purposes of renovating the hospital's original wing, all of the patients in the hospital's original beds must be transferred to beds in the new tower. if patients are neither admitted nor discharged during the transfer, what fraction of the beds in the new tower will be unoccupied once the transfer is complete?
Answer the question using a single word or phrase.

[Assistant] 11 / 15

[User]
the sum of two numbers is 40 and their difference is 4. the ratio of the numbers is
Answer the question using a single word or phrase.

[Assistant] 11 : 9

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

[Assistant] 7

[User]
the ages of 2 persons differ by 21 years. if 15 years ago the elder one be 8 times as old as the younger one, find the present age of elder person.
Answer the question using a single word or phrase.

[Assistant] 47.9


[User]
in a 100 m race, a covers the distance in 30 seconds and b in 45 second. in this race a beats b by :
Answer the question using a single word or phrase.

[Assistant] 33.33 m

[User]
if ( 2 to the x ) - ( 2 to the ( x - 2 ) ) = 3 ( 2 to the 12 ), what is the value of x?
Answer the question using a single word or phrase.

[Assistant] 14

[User]
a, b, c can do a work in 15, 20,45 days respectively. they get rs 500 for their work. what is the share of a?
Answer the question using a single word or phrase.

[Assistant] rs. 240

[User]
express a speed of 252 kmph in meters per second?
Answer the question using a single word or phrase.

[Assistant] 70 mps

[User]
the temperature of a certain cup of coffee 10 minutes after it was poured was 120 degrees fahrenheit. if the temperature f of the coffee t minutes after it was poured can be determined by the formula f = 120 ( 2 ^ - at ) + 60, where f is in degrees fahrenheit and a is a constant. then the temperature of the coffee 40 minutes after it was poured was how many degrees fahrenheit?
Answer the question using a single word or phrase.

[Assistant] 67.5


[User]
a circular garden is surrounded by a fence of negligible width along the boundary. if the length of the fence is 1 / 3 of th area of the garden. what is the radius of the circular garden?
Answer the question using a single word or phrase.

[Assistant] 6

[User]
jean drew a gumball at random from a jar of pink and blue gumballs. since the gumball she selected was blue and she wanted a pink one, she replaced it and drew another. the second gumball also happened to be blue and she replaced it as well. if the probability of her drawing the two blue gumballs was 25 / 49, what is the probability that the next one she draws will be pink?
Answer the question using a single word or phrase.

[Assistant] 2 / 7

[User]
a hostel had provisions for 250 men for 40 days. if 50 men left the hostel, how long will the food last at the same rate?
Answer the question using a single word or phrase.

[Assistant] 50

[User]
a train covers a distance of 12 km in 10 min. if it takes 3 sec to pass a telegraph post, then the length of the train is?
Answer the question using a single word or phrase.

[Assistant] 60 m

[User]
if g and f are both odd prime numbers andg < f, then how many different positive integer factors does 2 gfhave?
Answer the question using a single word or phrase.

[Assistant] 8


[User]
a and b go around a circular track of length 600 m on a cycle at speeds of 30 kmph and 60 kmph. after how much time will they meet for the first time at the starting point?
Answer the question using a single word or phrase.

[Assistant] 72 sec

[User]
if $ 5,000 is invested in an account at a simple annual rate of r percent, the interest is $ 250. when $ 18,000 is invested at the same interest rate, what is the interest from the investment?
Answer the question using a single word or phrase.

[Assistant] $ 900

[User]
m and n are the x and y coordinates, respectively, of a point in the coordinate plane. if the points ( m, n ) and ( m + p, n + 18 ) both lie on the line defined by the equation x = ( y / 6 ) - ( 2 / 5 ), what is the value of p?
Answer the question using a single word or phrase.

[Assistant] 3

[User]
if w is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3 ^ k is a factor of w?
Answer the question using a single word or phrase.

[Assistant] 14

[User]
a and b started a business in partnership investing rs. 20000 and rs. 15000 respectively. after 6 months, c joined them with rs. 20000. what will be b's share in the total profit of rs. 25000 earned at the end of 2 years from the starting of the business?
Answer the question using a single word or phrase.

[Assistant] rs. 7500


[User]
length of a rectangular plot is 14 mtr more than its breadth. if the cost of fencing the plot at 26.50 per meter is rs. 5300, what is the length of the plot in mtr?
Answer the question using a single word or phrase.

[Assistant] 57 m

[User]
9 log 9 ( 7 ) =?
Answer the question using a single word or phrase.

[Assistant] 7

[User]
if ( a + b ) = 4, ( b + c ) = 5 and ( c + d ) = 3, what is the value of ( a + d )?
Answer the question using a single word or phrase.

[Assistant] 2.

[User]
indu gave bindu rs. 6500 on compound interest for 2 years at 4 % per annum. how much loss would indu has suffered had she given it to bindu for 2 years at 4 % per annum simple interest?
Answer the question using a single word or phrase.

[Assistant] 10.4

[User]
if the product of two numbers is 84942 and their h. c. f. is 33, find their l. c. m.
Answer the question using a single word or phrase.

[Assistant] 2574


[User]
if n is a natural number, then ( 6 n ^ 2 + 6 n ) is always divisible by
Answer the question using a single word or phrase.

[Assistant] 6 and 12 both

[User]
express the ratio 3 2 / 3 : 7 1 / 3 in its simplest form.
Answer the question using a single word or phrase.

[Assistant] 1 : 2

[User]
a runs twice as fast as b and gives b a start of 64 m. how long should the racecourse be so that a and b might reach in the same time?
Answer the question using a single word or phrase.

[Assistant] 128 m.

[User]
on a map, 2.5 inches represent 25 miles. how many miles approximately is the distance if you measured 55 centimeters assuming that 1 - inch is 2.54 centimeters?
Answer the question using a single word or phrase.

[Assistant] 216.5

[User]
a certain bus driver is paid a regular rate of $ 16 per hour for any number of hours that does not exceed 40 hours per week. for any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75 % higher than his regular rate. if last week the bus driver earned $ 920 in total compensation, how many total hours did he work that week?
Answer the question using a single word or phrase.

[Assistant] 50


[User]
the average age of a class of 20 students is 21 years. the average increased by 1 when the teacher's age also included. what is the age of the teacher?
Answer the question using a single word or phrase.

[Assistant] 42

[User]
when the positive integer k is divided by the positive integer n, the remainder is 11. if k / n = 71.2, what is the value of n?
Answer the question using a single word or phrase.

[Assistant] 80

[User]
if a and b are integers and ( a * b ) ^ 5 = 128 y, y could be :
Answer the question using a single word or phrase.

[Assistant] 8

[User]
jacob is now 12 years younger than michael. if 5 years from now michael will be twice as old as jacob, how old will jacob be in 4 years?
Answer the question using a single word or phrase.

[Assistant] 11

[User]
( 1000 ) 7 ÷ ( 10 ) 19 =?
Answer the question using a single word or phrase.

[Assistant] 100


[User]
tea worth rs. 126 per kg are mixed with a third variety in the ratio 1 : 1 : 2. if the mixture is worth rs. 143 per kg, the price of the third variety per kg will be
Answer the question using a single word or phrase.

[Assistant] rs. 165.50

[User]
3 numbers are in the ratio 3 : 5 : 7. the largest number is 56. what is the difference between smallest and largest number?
Answer the question using a single word or phrase.

[Assistant] 32

[User]
mixture a is 20 % oil and 80 % material b by weight. if 2 more kilograms of oil are added to the 8 kilograms mixture a, how many kilograms of mixture a must be added to make a 70 % material b in the new mixture?
Answer the question using a single word or phrase.

[Assistant] 6

[User]
kanul spent $ 5000 in buying raw materials, $ 200 in buying machinery and 30 % of the total amount he had as cash with him. what was the total amount?
Answer the question using a single word or phrase.

[Assistant] $ 7428.57

[User]
there is 60 % increase in an amount in 6 yrs at si. what will be the ci of rs. 12,000 after 3 years at the same rate?
Answer the question using a single word or phrase.

[Assistant] 3972


[User]
amar takes as much time in running 18 meters as a car takes in covering 48 meters. what will be the distance covered by amar during the time the car covers 1.8 km?
Answer the question using a single word or phrase.

[Assistant] 670 m

[User]
find the value of x from the below equation : x ^ 2 − 7 x + 10 = 0
Answer the question using a single word or phrase.

[Assistant] 5

[User]
find the largest 7 digit number which is exactly divisible by 88?
Answer the question using a single word or phrase.

[Assistant] 9999968

[User]
in a theater, the first row has 15 seats and each row has 2 more seats than previous row. if the last row has 53 seats, what is the total number of seats in the theater?
Answer the question using a single word or phrase.

[Assistant] 680

[User]
shipment - - - no. of defective chips / shipment - - - total chips in shipment s 1 - - - - - - - - - - - - - - - - - - - - - - 2 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 5,000 s 2 - - - - - - - - - - - - - - - - - - - - - - 4 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 12,000 s 3 - - - - - - - - - - - - - - - - - - - - - - 2 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 15,000 s 4 - - - - - - - - - - - - - - - - - - - - - - 4 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 16,000 a computer chip manufacturer expects the ratio of the number of defective chips to the total number of chips in all future shipments to equal the corresponding ratio for shipments s 1, s 2, s 3, and s 4 combined, as shown in the table above. what ’ s the expected number of defective chips in a shipment of 60,000 chips?
Answer the question using a single word or phrase.

[Assistant] 15


[User]
three numbers are in the ratio of 2 : 3 : 4 and their l. c. m. is 276. what is their h. c. f.?
Answer the question using a single word or phrase.

[Assistant] 23

[User]
in a mayoral election, candidate x received 1 / 3 more votes than candidate y, and candidate y received 1 / 7 fewer votes than z. if z received 21,000 votes how many votes did candidate x received?
Answer the question using a single word or phrase.

[Assistant] 24000

[User]
each factor of 200 is inscribed on its own plastic ball, and all of the balls are placed in a jar. if a ball is randomly selected from the jar, what is the probability that the ball is inscribed with a multiple of 42?
Answer the question using a single word or phrase.

[Assistant] 1 / 9

[User]
a car traveled 462 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city. if the car traveled 18 fewer miles per gallon in the city than on the highway, how many miles per gallon did the car travel in the city?
Answer the question using a single word or phrase.

[Assistant] 48

[User]
x can give y 100 meters start and z 200 meters start in x kilometer race. how much start can y give z in x kilometer race?
Answer the question using a single word or phrase.

[Assistant] 111.12 m


[User]
a sum of money deposited at c. i. amounts to rs. 1890 in 2 years and to rs. 2350 in 3 years. find the rate percent?
Answer the question using a single word or phrase.

[Assistant] 24 %

[User]
what is the least number that should be added to 1053, so the sum of the number is divisible by 23?
Answer the question using a single word or phrase.

[Assistant] 5

[User]
the salary of a, b, c, d, e is rs. 8000, rs. 5000, rs. 16000, rs. 7000, rs. 9000 per month respectively, then the average salary of a, b, c, d, and e per month is
Answer the question using a single word or phrase.

[Assistant] rs. 9000

[User]
find out the c. i on rs. 3000 at 4 % p. a. compound half - yearly for 1 1 / 2 years
Answer the question using a single word or phrase.

[Assistant] 183.62

[User]
a number when divided by 20 leaves 6 as a remainder. what will be the remainder if the number is divided by 19?
Answer the question using a single word or phrase.

[Assistant] 7


[User]
how many seconds will a 500 meter long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr?
Answer the question using a single word or phrase.

[Assistant] 30

[User]
the compound interest earned by sunil on a certain amount at the end of two years at the rate of 5 % p. a. was rs. 492. find the total amount that sunil got back at the end of two years in the form of principal plus interest earned.
Answer the question using a single word or phrase.

[Assistant] rs. 5292

[User]
a train 220 m long is running with a speed of 90 km / hr. in what time will it pass a bus that is running with a speed of 60 km / hr in the direction opposite to that in which the train is going?
Answer the question using a single word or phrase.

[Assistant] 5.28

[User]
a number is doubled and 9 is added. if resultant is trebled, it becomes 57. what is that number
Answer the question using a single word or phrase.

[Assistant] 5

[User]
tim and é lan are 30 miles away from one another. they are starting to move towards each other simultaneously, tim at a speed of 10 mph and é lan at a speed of 5 mph. if every hour they double their speeds, what is the distance that tim will pass until he meets é lan?
Answer the question using a single word or phrase.

[Assistant] 20 miles.


[User]
2 pipes can separately fill a tank in 20 hrs and 30 hrs respectively. both the pipes are opened tofill the tank, a leak develops in the tank through which one - third of water supplied by both the pipes goes out. what is the total time taken to fill the tank?
Answer the question using a single word or phrase.

[Assistant] 16 hrs

[User]
there are 99 people that own pets. 15 people own only dogs, 10 people own only cats, 5 people own only cats and dogs, 3 people own cats, dogs and snakes. how many total snakes are there?
Answer the question using a single word or phrase.

[Assistant] 69

[User]
a certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 2 of 9 candidates eligible to fill 2 identical positions in the computer science department. if none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the 3 positions?
Answer the question using a single word or phrase.

[Assistant] 252

[User]
the simple interest on rs. 8 for 12 months at the rate of 5 paise per rupeeper month is
Answer the question using a single word or phrase.

[Assistant] 4.8

[User]
an athlete runs 360 metres race in 24 seconds. what is his speed?
Answer the question using a single word or phrase.

[Assistant] 64.8


[User]
two trains, one from howrah to patna and the other from patna to howrah, start simultaneously. after they meet, the trains reach their destinations after 4 hours and 36 hours respectively. the ratio of their speeds is?
Answer the question using a single word or phrase.

[Assistant] 3 : 1

[User]
a batsman scored 120 runs which included 10 boundaries and 6 sixes. what % of his total score did he make by running between the wickets
Answer the question using a single word or phrase.

[Assistant] 36.67 %

[User]
the sum of the present ages of two persons a and b is 54. if the age of a is twice that of b, find the sum of their ages 5 years hence?
Answer the question using a single word or phrase.

[Assistant] 64

[User]
if 12 % of x is equal to 6 % of y, then 18 % of x will be equal to how much % of y?
Answer the question using a single word or phrase.

[Assistant] 9 %

[User]
heinz produces tomato puree by boiling tomato juice. the tomato puree has only 20 % water while the tomato juice has 90 % water. how many liters of tomato puree will be obtained from 80 litres of tomato juice?
Answer the question using a single word or phrase.

[Assistant] 10 liters.