[User]
how many paying stones, each measuring 2 1 / 2 m * 2 m are required to pave a rectangular court yard 70 m long and 16 1 / 2 m board?
Answer the question using a single word or phrase.

[Assistant] 231

[User]
what is the rate percent when the simple interest on rs. 1200 amount to rs. 160 in 4 years?
Answer the question using a single word or phrase.

[Assistant] 3.3 %

[User]
the simple form of the ratio 2 / 3 : 2 / 5 is?
Answer the question using a single word or phrase.

[Assistant] 5 : 2

[User]
on a map, 1 inch represents 28 miles. how many inches would be necessary to represent a distance of 383.6 miles?
Answer the question using a single word or phrase.

[Assistant] 13.7

[User]
the average age of students of a class is 15.8 years. the average age of boys in the class is 16.4 years and that of the girls is 15.5 years, the ratio 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]
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 3 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] 8

[User]
how many multiples of 5 are less than 5000, and also multiples of 50?
Answer the question using a single word or phrase.

[Assistant] 100

[User]
solution for 3.15 +. 014 +. 458
Answer the question using a single word or phrase.

[Assistant] 3.622

[User]
a, b and c are entered into a partnership. a invested rs. 6500 for 6 months, b invested rs. 8400 for 5 months and c invested for rs. 10000 for 3 months. a is a working partner and gets 5 % of the total profit for the same. find the share of c in a total profit of rs. 7400.
Answer the question using a single word or phrase.

[Assistant] 1900

[User]
3, 7,12, 18,25.............. 9 th terms
Answer the question using a single word or phrase.

[Assistant] 63


[User]
if 60 % of ( x - y ) = 30 % of ( x + y ) then what percent of x is y?
Answer the question using a single word or phrase.

[Assistant] 33 %

[User]
working alone at their respective constant rates, a can complete a task in ‘ a ’ days and b in ‘ b ’ days. they take turns in doing the task with each working 2 days at a time. if a starts they finish the task in exactly 10 days. if b starts, they take a day more. how long does it take to complete the task if they both work together?
Answer the question using a single word or phrase.

[Assistant] 5

[User]
a multiple choice test consists of 4 questions, and each question has 5 answer choices. in how many q ways can the test be completed if every question is unanswered?
Answer the question using a single word or phrase.

[Assistant] 625

[User]
at a speed of 60 miles per hour, a certain car uses 1 gallon of gasoline every 30 miles. if the car starts with a full 12 gallon tank of gasoline and travels for 5 hours at 60 miles per hour, the amount of gasoline used would be what fraction of a full tank?
Answer the question using a single word or phrase.

[Assistant] 5 / 6

[User]
on a map, 2 inches represent 30 miles. how many miles approximately is the distance if you measured 38 centimeters assuming that 1 - inch is 2.54 centimeters?
Answer the question using a single word or phrase.

[Assistant] 224


[User]
a is an integer greater than 49 but less than 61, b is an integer greater than 59 but less than 71, what is the range of a / b?
Answer the question using a single word or phrase.

[Assistant] 2 / 7

[User]
find the value of x, y by solving the below equations x + y = 15 x - y = 5
Answer the question using a single word or phrase.

[Assistant] 10, 5

[User]
in a urban village of india named ` ` owlna ' ', 90 % people have refrigerator, 86 % people have television, 80 % people got computers and 80 % got air - conditionor. how many people ( minimum ) got all these luxury.
Answer the question using a single word or phrase.

[Assistant] 36 %

[User]
the annual interest rate earned by an investment increased by 8 percent from last year to this year. if the annual interest rate earned by the investment this year was 27 percent, what was the annual interest rate last year?
Answer the question using a single word or phrase.

[Assistant] 25 %

[User]
if a and b are positive numbers, and a ^ 3 + b ^ 3 = 140, then the greatest possible value of a is between :
Answer the question using a single word or phrase.

[Assistant] 5 and 8


[User]
a train 160 m long is running at a speed of 45 km / hr. in what time will it pass a bridge 140 m long?
Answer the question using a single word or phrase.

[Assistant] 24 sec

[User]
the proportion of water to alcohol in solution a is 4 : 1 and the proportion of water to alcohol in solution b is 2 : 3. if an equal amount of each solution is mixed together, what is the concentration of alcohol in the new solution?
Answer the question using a single word or phrase.

[Assistant] 40 %

[User]
at what rate percent on simple interest will rs. 750 amount to rs. 900 in 4 years?
Answer the question using a single word or phrase.

[Assistant] 5 %

[User]
if m is not equal to zero, and m + 1 / m = 1, then what is the value of m ^ 4 + ( 1 / m ) ^ 4?
Answer the question using a single word or phrase.

[Assistant] - 1

[User]
the ratio of money with ram and gopal is 7 : 17 and that with gopal and krishan is 7 : 17. if ram has rs. 539, krishan has?
Answer the question using a single word or phrase.

[Assistant] s. 3179


[User]
the price of a cycle is reduced by 25 per cent. the new price is reduced by a further 20 per cent. the two reductions together are equal to a single reduction of
Answer the question using a single word or phrase.

[Assistant] 40

[User]
suresh started a business, investing rs. 18000. after 3 months and 4 months respectively, rohan and sudhir joined him with capitals of 12000 and 9000. at the end of the year the total profit was rs. 3960. what is the difference between rohan ’ s and sudhir ’ s share in the profit?
Answer the question using a single word or phrase.

[Assistant] s. 360

[User]
in a ratio which is equal to 7 : 9, if the antecedent is 56, then the consequent is?
Answer the question using a single word or phrase.

[Assistant] 72

[User]
if 20 % of a certain number is 60, then what is 80 % of that number?
Answer the question using a single word or phrase.

[Assistant] 240

[User]
if 2 men or 3 women can reap a field in 5 days how long will 5 men and 6 women take to reap it?
Answer the question using a single word or phrase.

[Assistant] 9 / 10


[User]
a customer went to a shop and paid a total of $ 30, out of which $ 1.28 was for sales tax on taxable purchases. if the tax rate was 8 %, then what was the cost of the tax free items?
Answer the question using a single word or phrase.

[Assistant] $ 12.72

[User]
2 + 2 + 2 ² + 2 ³... + 2 ^ 11
Answer the question using a single word or phrase.

[Assistant] 2 ^ 12

[User]
if a number p is prime, and 2 p + 5 = q, where q is also prime, then the decimal expansion of 1 / q will produce a decimal with q - 1 digits. if this method produces a decimal with 166 digits, what is the units digit of the product of p and q?
Answer the question using a single word or phrase.

[Assistant] 1

[User]
walking at 25 % of his usual speed a man takes 24 minutes more to cover a distance. what is his usual time to cover this distance?
Answer the question using a single word or phrase.

[Assistant] 8

[User]
the lowest number which should be added to 1277 so that the sum is exactly divisible by 3, 2, 5, 4 and 7 is :
Answer the question using a single word or phrase.

[Assistant] 403


[User]
father is aged 3 times more than his son ronit. after 8 years, he would be two and half times if ronit's age. after further 8 years, how many times would he be of ronit's age?
Answer the question using a single word or phrase.

[Assistant] 2 times

[User]
due to construction, the speed limit along an 12 - mile section of highway is reduced from 55 miles per hour to 35 miles per hour. approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit?
Answer the question using a single word or phrase.

[Assistant] 7

[User]
the area of sector of a circle whose radius is 12 metro and whose angle at the center is 54 â ° is?
Answer the question using a single word or phrase.

[Assistant] 67.9

[User]
by selling 10 pens for a rupee a woman loses 18 %. how many for a rupee should he sell in order to gain 30 %?
Answer the question using a single word or phrase.

[Assistant] 6

[User]
what is the greatest number of 4 digits which is divisible by 15, 25, 40 and 75?
Answer the question using a single word or phrase.

[Assistant] 9600


[User]
a one - foot stick is marked in 1 / 3 and 1 / 4 portion. how many total markings will there be, including the end points?
Answer the question using a single word or phrase.

[Assistant] 7

[User]
a company has a hierarchical system where for every 10 workers, there is one team lead, and for every 3 teams leads, there is one supervisor. if the company has 13 supervisors, how many workers does it have?
Answer the question using a single word or phrase.

[Assistant] 390

[User]
the ratio between the length and the breadth of a rectangular park is 3 : 2. if a man cycling along the boundary of the park at the speed of 9 km / hr completes one round in 5 min, then the area of the park ( in sq. m ) is?
Answer the question using a single word or phrase.

[Assistant] 33750 m

[User]
a train 120 m long is running with a speed of 66 km / hr. in what time will it pass a man who is roller skating at 12 km / hr in the direction opposite to that in which the train is going?
Answer the question using a single word or phrase.

[Assistant] 6.92

[User]
paul's income is 20 % less than rex's income, quentin's income is 20 % less than paul's income, and sam's income is 40 % less than paul's income. if rex gave 60 % of his income to sam and 40 % of his income to quentin, quentin's new income would be what fraction of sam's new income?
Answer the question using a single word or phrase.

[Assistant] 26 / 27


[User]
it takes joey the postman 1 hours to run a 4 mile long route every day. he delivers packages and then returns to the post office along the same path. if the average speed of the round trip is 5 mile / hour, what is the speed with which joey returns?
Answer the question using a single word or phrase.

[Assistant] 6 2 / 3

[User]
a business executive and his client are charging their dinner tab on the executive's expense account. the company will only allow them to spend a total of 50 $ for the meal. assuming that they will pay 7 % in sales tax for the meal and leave a 15 % tip, what is the most their food can cost?
Answer the question using a single word or phrase.

[Assistant] 40.63 $

[User]
the sum of present age of abe and the age before 7 years is 37. find the present age of abe. what will be his age after 7 years?
Answer the question using a single word or phrase.

[Assistant] 29

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

[Assistant] 120

[User]
what is the total number of integers between 111 and 222 that are divisible by 9?
Answer the question using a single word or phrase.

[Assistant] 12


[User]
350 is increased by 50 %. find the final number.
Answer the question using a single word or phrase.

[Assistant] 525

[User]
a train 240 m in length crosses a telegraph post in 16 seconds. the speed of the train is?
Answer the question using a single word or phrase.

[Assistant] 54 kmph

[User]
a can do a particular work in 6 days. b can do the same work in 8 days. a and b signed to do it for rs. 2400. they completed the work in 3 days with the help of c. how much is to be paid to c?
Answer the question using a single word or phrase.

[Assistant] s. 300

[User]
because he ’ s taxed by his home planet, mork pays a tax rate of 45 % on his income, while mindy pays a rate of only 15 % on hers. if mindy earned 4 times as much as mork did, what was their combined tax rate?
Answer the question using a single word or phrase.

[Assistant] 21 %

[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]
the h. c. f. of two numbers is 23 and the other two factors of their l. c. m. are 13 and 17. the larger of the two numbers is :
Answer the question using a single word or phrase.

[Assistant] 391

[User]
find the value of ( 55 + 113 / 78 ) × 78
Answer the question using a single word or phrase.

[Assistant] 4403

[User]
if two typists can type two pages in two minutes, how many typists will it take to type 25 pages in 5 minutes?
Answer the question using a single word or phrase.

[Assistant] 10

[User]
the total age of a and b is 11 years more than the total age of b and c. c is how many year younger than
Answer the question using a single word or phrase.

[Assistant] 11 years

[User]
n ^ ( n / 2 ) = 2 is true when n = 2 in the same way what is the value of n if n ^ ( n / 2 ) = 12?
Answer the question using a single word or phrase.

[Assistant] 12


[User]
a sum of money at simple interest amounts to rs. 800 in 3 years and to rs. 850 in 4 years. the sum is :
Answer the question using a single word or phrase.

[Assistant] rs. 600

[User]
according to the directions on a packet of smoothie mix, 1 3 - ounce packet of smoothie mix is to be combined with 19 ounces of water to make a smoothie. how many 3 - ounce packets of smoothie mix are required to prepare 150 12 - ounce smoothies?
Answer the question using a single word or phrase.

[Assistant] 600

[User]
if p and q are positive integers each greater than 1, and 17 ( p + 1 ) = 20 ( q + 1 ), what is the least possible value of p + q?
Answer the question using a single word or phrase.

[Assistant] 35

[User]
a portion of the 80 % solution of chemicals was replaced with an equal amount of 20 % solution of chemicals. as a result, 50 % solution of chemicals resulted. what part of the original solution was replaced?
Answer the question using a single word or phrase.

[Assistant] 1 / 2

[User]
the maximum number of students among them 1008 pens and 928 pencils can be distributed in such a way that each student get the same number of pens and same number of pencils?
Answer the question using a single word or phrase.

[Assistant] 16


[User]
lilly has 10 fish and rosy has 12 fish. in total, how many fish do they have in all?
Answer the question using a single word or phrase.

[Assistant] 22

[User]
what is the least common multiple of 6, 18, and 24?
Answer the question using a single word or phrase.

[Assistant] 72

[User]
the ratio of number of boys and girls in a school is 2 : 5. if there are 420 students in the school, find the number of girls in the school?
Answer the question using a single word or phrase.

[Assistant] 300

[User]
a train covers a distance of 100 km in 1 hour. if its speed is decreased by 20 km / hr, the time taken by the car to cover the same distance will be?
Answer the question using a single word or phrase.

[Assistant] 1 hr 15 min

[User]
a bag contains 3 red, 4 black and 2 white balls. what is the probability of drawing a red and a white ball in two successive draws, each ball being put back after it is drawn?
Answer the question using a single word or phrase.

[Assistant] 4 / 27


[User]
list k consists of 12 consecutive integers. if - 3 is the least integer in list k, what is the range of the positive integers in list k?
Answer the question using a single word or phrase.

[Assistant] 7

[User]
let a, b, c be distinct digits. consider a two - digit number ‘ ab ’ and a 3 - digit number ‘ ccb ’, both defined under the usual decimal number system, if ( ab ) 2 = ccb > 300, then the value of b is
Answer the question using a single word or phrase.

[Assistant] 1

[User]
a train running at the speed of 60 km / hr crosses a pole in 21 seconds. find the length of the train.
Answer the question using a single word or phrase.

[Assistant] 350 m

[User]
instead of multiplying a number by 7, the number is divided by 7. what is the percentage of error obtained?
Answer the question using a single word or phrase.

[Assistant] 97.959 %

[User]
find how many 4 digits no. is less then 1239 such that all 4 digits are distinct.
Answer the question using a single word or phrase.

[Assistant] 69


[User]
if a coin is flipped, the probability that the coin will land tails is 1 / 2. if the coin is flipped 3 times, what is the probability that it will land tails up on the first flip and not on the last 2 flips?
Answer the question using a single word or phrase.

[Assistant] 1 / 8

[User]
a whale goes on a feeding frenzy that lasts for 9 hours. for the first hour he catches and eats x kilos of plankton. in every hour after the first, it consumes 3 kilos of plankton more than it consumed in the previous hour. if by the end of the frenzy the whale will have consumed a whopping accumulated total 360 kilos of plankton, how many kilos did he consume on the sixth hour?
Answer the question using a single word or phrase.

[Assistant] 43

[User]
a factory produces 4340 toys per week. if the workers at this factory work 2 days a week and if these workers make the same number of toys everyday, how many toys are produced each day?
Answer the question using a single word or phrase.

[Assistant] 2170 toys

[User]
at what price must an article costing rs. 47.50 be marked in order that after deducting 9 % from the list price. it may be sold at a profit of 25 % on the cost price?
Answer the question using a single word or phrase.

[Assistant] 65.25

[User]
the mean of 50 observations was 36. it was found later that an observation 34 was wrongly taken as 23. the corrected new mean is :
Answer the question using a single word or phrase.

[Assistant] 36.22


[User]
in kaya's teacher's desk there are 4 pink highlighters, 2 yellow highlighters, and 5 blue highlighters. how many highlighters are there in all?
Answer the question using a single word or phrase.

[Assistant] 11

[User]
the average weight of 10 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. what is the weight of the new person?
Answer the question using a single word or phrase.

[Assistant] 90 kg

[User]
on a map, 1 inch represents 28 miles. how many z inches would be necessary to represent a distance of 383.6 miles?
Answer the question using a single word or phrase.

[Assistant] 13.7

[User]
a train 150 m long is running with a speed of 60 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] 8

[User]
the h. c. f. of two numbers is 40 and the other two factors of their l. c. m. are 11 and 15. the larger of the two numbers is :
Answer the question using a single word or phrase.

[Assistant] 600


[User]
a train 385 meters long is running with a speed of 60 kmph. in what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Answer the question using a single word or phrase.

[Assistant] 21

[User]
a fashion designer sold a pair of jeans to a retail store for 40 percent more than it cost to manufacture the pair of jeans. a customer bought the pair of jeans for 15 percent more than the retailer paid for them. the price the customer paid was what percent greater than the cost of manufacturing the jeans?
Answer the question using a single word or phrase.

[Assistant] 61 %

[User]
a mixture contains alcohol and water in the ratio 4 : 3. if 9 litres of water is added to the mixture, the ratio becomes 4 : 5. find the quantity of alcohol in the given mixture
Answer the question using a single word or phrase.

[Assistant] 18 litres

[User]
if 12 men or 20 women can do a piece of work in 54 days, then in how many days can 9 men and 39 women together do the work?
Answer the question using a single word or phrase.

[Assistant] 20 days

[User]
in an election, candidate a got 79 % 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] 357090


[User]
if a car had traveled 35 kmh faster than it actually did, the trip would have lasted 30 minutes less. if the car went exactly 105 km, at what speed did it travel?
Answer the question using a single word or phrase.

[Assistant] 70 kmh

[User]
10 % people of a village in sri lanka died by bombardment, 15 % of the remainder left the village on account of fear. if now the population is reduced to 6514, how much was it in the beginning?
Answer the question using a single word or phrase.

[Assistant] 8515

[User]
if each year the population of the country grows by 10 %, how many years will elapse before the population of the country doubles?
Answer the question using a single word or phrase.

[Assistant] 8

[User]
5 percent of a certain grass seed is timothy. if the amount of the mixture needed to plant one acre contains 2 pounds of timothy, how many acres can be planted with 600 pounds of the seed mixture?
Answer the question using a single word or phrase.

[Assistant] 15

[User]
we invested a total of $ 1,000. we invested one part of the money at 5 % and the rest of the money at 6 %. the total investment with interest at the end of the year was $ 1, 054.50. how much money did we invest at 5 %?
Answer the question using a single word or phrase.

[Assistant] $ 550


[User]
the average of 1 st 3 of 4 numbers is 16 and of the last 3 are 15. if the sum of the first and the last number is 19. what is the last numbers?
Answer the question using a single word or phrase.

[Assistant] 8

[User]
if two integers x, y ( x > y ) are selected from - 10 to 5 ( inclusive ), how many possible cases are there?
Answer the question using a single word or phrase.

[Assistant] 120

[User]
a cistern 8 m long and 6 m wide contains water up to a depth of 1 m 25 cm. the total area of the wet surface is :
Answer the question using a single word or phrase.

[Assistant] 83 m 2

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

[Assistant] 63 %

[User]
a sum fetched a total simple interest of 4016.25 at the rate of 9 %. p. a. in 5 years. what is the sum?
Answer the question using a single word or phrase.

[Assistant] 8925


[User]
a bag consists of 20 marbles, of which 5 are blue, 9 are red, and the remainder are white. if lisa is to select a marble from the bag at random, what is the probability that the marble will be red or white?
Answer the question using a single word or phrase.

[Assistant] 3 / 4

[User]
how many different positive integers exist between 10 ^ 6 and 10 ^ 7, the sum of whose digits is equal to 2?
Answer the question using a single word or phrase.

[Assistant] 7

[User]
john distributes his pencil among his 4 friends rose, mary, ranjan, and rohit in the ratio 1 / 1 : 1 / 3 : 1 / 4 : 1 / 5. what is the minimum no. of pencils that the person should have?
Answer the question using a single word or phrase.

[Assistant] 107

[User]
a sum of rs. 1550 was lent partly at 5 % and partly at 8 % p. a. simple interest. the total interest received after 3 years was rs. 300. the ratio of the money lent at 5 % to that lent at 8 % is :
Answer the question using a single word or phrase.

[Assistant] 16 : 15

[User]
a certain library assesses fines for overdue books as follows. on the first day that a book is overdue, the total fine is $ 0.20. for each additional day that the book is overdue, the total fine is either increased by $ 0.30 or doubled, whichever results in the lesser amount. what is the total for a book on the third day it is overdue?
Answer the question using a single word or phrase.

[Assistant] $ 0.70


[User]
a part - time employee ’ s hourly wage was increased by 15 %. she decided to decrease the number of hours worked per week so that her total income did not change. by approximately what percent should the number of hours worked be decreased?
Answer the question using a single word or phrase.

[Assistant] 13 %

[User]
if y is 60 % greater than x, than x is what % less than y?
Answer the question using a single word or phrase.

[Assistant] 37.5 %

[User]
a student gets 50 % in one subject, 70 % in the other. to get an overall of 70 % how much should get in third subject.
Answer the question using a single word or phrase.

[Assistant] 90 %

[User]
the product of two successive numbers is 2652. which is the smaller of the two numbers?
Answer the question using a single word or phrase.

[Assistant] 51

[User]
a sum of money deposited at c. i. amounts to rs. 2560 in 3 years and to rs. 2989 in 4 years. find the rate percent?
Answer the question using a single word or phrase.

[Assistant] 16 %


[User]
if k is a non - negative integer and 30 ^ k is a divisor of 929,260 then 3 ^ k - k ^ 3 =
Answer the question using a single word or phrase.

[Assistant] 1

[User]
a particular store purchased a stock of turtleneck sweaters and marked up its cost by 20 %. during the new year season, it further marked up its prices by 25 % of the original retail price. in february, the store then offered a discount of 18 %. what was its profit on the items sold in february?
Answer the question using a single word or phrase.

[Assistant] 23 %

[User]
in an election between two candidates, one got 55 % of the total valid votes, 20 % of the votes were invalid. if the total number of votes was 5500, the number of valid votes that the other candidate got, was :
Answer the question using a single word or phrase.

[Assistant] 1980

[User]
there are 7 players in a bowling team with an average weight of 103 kg. if two new players join the team, one weighs 110 kg and the second weighs 60 kg, what will be the new average weight?
Answer the question using a single word or phrase.

[Assistant] 99 kg.

[User]
find the average of all numbers between 3 and 86 which are divisible by 5
Answer the question using a single word or phrase.

[Assistant] 45


[User]
if the annual increase in the population of a town is 10 % and the present number of people is 14000, what will the population be in 2 years?
Answer the question using a single word or phrase.

[Assistant] 16940

[User]
the average of 21 numbers is 44. average of the first 11 of them is 48 and that of the last 11 is 41. find the 11 th number?
Answer the question using a single word or phrase.

[Assistant] 55

[User]
a train running at the speed of 30 km / hr crosses a pole in 9 sec. what is the length of the train?
Answer the question using a single word or phrase.

[Assistant] 75 m

[User]
three unbiased coins are tossed, what is the probability of ge ƫ ng at least 2 tails?
Answer the question using a single word or phrase.

[Assistant] 1 / 2

[User]
in the next cricket world cup t - 20, team t has decided to score 200 runs only through 4 s and 6 s. in how many ways can the team t score these 200 runs?
Answer the question using a single word or phrase.

[Assistant] 17


[User]
for each 6 - month period during a light bulb's life span, the odds of it not burning out from over - use are half what they were in the previous 6 - month period. if the odds of a light bulb burning out during the first 6 - month period following its purchase are 1 / 5, what are the odds of it burning out during the period from 6 months to 1 year following its purchase?
Answer the question using a single word or phrase.

[Assistant] 1 / 2

[User]
the perimeter of an isosceles right triangle is 8 + 8 sq rt 2. what is the length of the hypotenuse of the triangle?
Answer the question using a single word or phrase.

[Assistant] 5.656

[User]
when x is multiplied by 3, the result is 18 more than the result of subtracting x from 26. what is the value of x?
Answer the question using a single word or phrase.

[Assistant] 11

[User]
a bag contains 5 red, 6 blue and 2 green balls. if 2 ballsare picked at random, what is the probability that both are red?
Answer the question using a single word or phrase.

[Assistant] 5 / 39

[User]
find the value of x. ( 47 % of 1442 - 36 % of 1412 ) + 61 = x?
Answer the question using a single word or phrase.

[Assistant] 2


[User]
meena wrote all the numbers from 1 to 49,999 inclusive. how many digits did she write in total?
Answer the question using a single word or phrase.

[Assistant] 238,889

[User]
the ratio of investments of two partners p and q is 7 : 5 and the ratio of their profits is 7 : 12. if p invested the money for 5 months, find for how much time did q invest the money?
Answer the question using a single word or phrase.

[Assistant] 12

[User]
two employees x and y are paid a total of rs. 770 per week by their employer. if x is paid 120 percent of the sum paid to y, how much is y paid per week?
Answer the question using a single word or phrase.

[Assistant] s. 350

[User]
how many positive integers less than 300 can be formed using the numbers 1, 2, 3 and 5 for the digits?
Answer the question using a single word or phrase.

[Assistant] 52

[User]
if 3 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] - 6


[User]
a starts business with rs. 35,000 and after 5 months, b joins with a as his partner. after a year, the profit is divided in the ratio 2 : 3. what is b ’ s contribution in the capital?
Answer the question using a single word or phrase.

[Assistant] 9000

[User]
a person want to give his money of $ 600 to his 3 children a, b, c in the ratio 1 : 2 : 3. what is the b + c share?
Answer the question using a single word or phrase.

[Assistant] $ 500

[User]
if the area of a square with sides of length 7 centimeters is equal to the area of a rectangle with a width of 4 centimeters, what is the length of the rectangle, in centimeters?
Answer the question using a single word or phrase.

[Assistant] 13

[User]
a baker makes chocolate cookies and peanut cookies. his recipes allow him to make chocolate cookie in batches of 7 and peanut cookies in batches of 6. if he makes exactly 98 cookies, what is the minimum number of chocolate chip cookies he makes?
Answer the question using a single word or phrase.

[Assistant] 14

[User]
the tax on a commodity is diminished by 30 % but its consumption is increased by 15 %. find the decrease percent in the revenue derived from it?
Answer the question using a single word or phrase.

[Assistant] 20 %


[User]
two trains 137 meters and 163 meters in length are running towards each other on parallel lines, one at the rate of 42 kmph and another at 48 kmpb. in what time will they be clear of each other from the moment they meet
Answer the question using a single word or phrase.

[Assistant] 12 sec

[User]
arnold and danny are two twin brothers that are celebrating their birthday. the product of their ages today is smaller by 17 from the product of their ages a year from today. what is their age today?
Answer the question using a single word or phrase.

[Assistant] 8.

[User]
a bowl contains equal numbers of red, orange, green, blue, and yellow candies. kaz eats all of the green candies and half of the orange ones. next, he eats half of the remaining pieces of each color. finally, he eats red and yellow candies in equal proportions until the total number of remaining candies of all colors equals 30 % of the original number. what percent of the red candies remain?
Answer the question using a single word or phrase.

[Assistant] 37.5 %

[User]
mixture a is 10 percent alcohol, and mixture b is 40 percent alcohol. if the two are poured together to create a 4 - gallon mixture that contains 20 percent alcohol, approximately how many gallons of mixture a are in the mixture?
Answer the question using a single word or phrase.

[Assistant] 1.6

[User]
rs. 100 amounts to rs. 320 in 4 years at simple interest. if the interest is increased by 3 %, it would amount to how much?
Answer the question using a single word or phrase.

[Assistant] 110


[User]
a family has two children. find the probability that both the children are girls given that at least one of them is a girl?
Answer the question using a single word or phrase.

[Assistant] 1 / 3

[User]
two good train each 650 m long, are running in opposite directions on parallel tracks. their speeds are 45 km / hr and 30 km / hr respectively. find the time taken by the slower train to pass the driver of the faster one.
Answer the question using a single word or phrase.

[Assistant] 62.4 sec

[User]
1, 3,5, 7,9,.. 50 find term of sequnce for this?
Answer the question using a single word or phrase.

[Assistant] 2500

[User]
he total marks obtained by a student in physics, chemistry and mathematics is 130 more than the marks obtained by him in physics. what is the average mark obtained by him in chemistry and mathematics?
Answer the question using a single word or phrase.

[Assistant] 65

[User]
the tax on a commodity is diminished by 10 % and its consumption increased by 20 %. the effect on revenue is?
Answer the question using a single word or phrase.

[Assistant] 8 % increase


[User]
4, 12, 48, 240, 1440, (... )
Answer the question using a single word or phrase.

[Assistant] 10080

[User]
a salesman gets commission on total sales at 9 %. if the sale is exceeded rs. 10000 he gets an additional commission as bonus of 3 % on the excess of sales over rs. 10000. if he gets total commission of rs. 1380, then the bonus he received is :
Answer the question using a single word or phrase.

[Assistant] 120

[User]
a work can be finished in 20 days by 10 women. the same work can be finished in fifteen days by 20 men. the ratio between the capacity of a man and a woman is
Answer the question using a single word or phrase.

[Assistant] 2 : 3

[User]
the length of a train and that of a platform are equal. if with a speed of 216 k / hr, the train crosses the platform in one minute, then the length of the train ( in meters ) is?
Answer the question using a single word or phrase.

[Assistant] 1800

[User]
if it takes a machine 4 ⁄ 5 minute to produce one item, how many items will it produce in 2 hours?
Answer the question using a single word or phrase.

[Assistant] 150


[User]
what is the smallest integer k for which 64 ^ k > 4 ^ 22?
Answer the question using a single word or phrase.

[Assistant] 8

[User]
the number 0.8 is how much greater than 1 / 8?
Answer the question using a single word or phrase.

[Assistant] 27 / 40

[User]
if the radius of a circle is decreased by 50 %, find the percentage decrease
Answer the question using a single word or phrase.

[Assistant] 75

[User]
the difference between the place values of 9 and 4 in the number 927435 is
Answer the question using a single word or phrase.

[Assistant] 899600

[User]
a certain hobby shop sold model cars for $ 5.00 each and model trains for $ 8.00 each. if a customer purchased both cars and trains from the store for a total of $ 31.00, what total number of cars and trains did the customer purchase?
Answer the question using a single word or phrase.

[Assistant] 5


[User]
a company has 15 managers and 75 associates. the 15 managers have an average salary of $ 180,000. 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] $ 55,000

[User]
john and david work at a hospital with 10 other workers. for an internal review, 2 of the 10 workers will be randomly chosen to be interviewed. what is the probability that john and david will both be chosen?
Answer the question using a single word or phrase.

[Assistant] 1 / 45

[User]
in a two - digit, if it is known that its unit's digit exceeds its 10's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is?
Answer the question using a single word or phrase.

[Assistant] 24

[User]
mrs. evans gave a test to her freshmen economics class, which has 30 students enrolled and 25 of them answered question 1 correctly. if 22 answered question 2 correctly and 5 did not take the test then how many answered both questions correctly?
Answer the question using a single word or phrase.

[Assistant] 22

[User]
what is the smallest number which when diminished by 12, is divisible 8, 12, 22 and 24?
Answer the question using a single word or phrase.

[Assistant] 276


[User]
k is a 3 digit number such that the the ratio of the number to the sum of its digits is least. what is the difference between the hundreds and tens digit?
Answer the question using a single word or phrase.

[Assistant] 8

[User]
♠ n denotes the number obtained when n is rounded to the nearest tenth. for example ♠ 4.31 = 4.3 ♠ 2.423 - ♠ 3.421 =
Answer the question using a single word or phrase.

[Assistant] - 0.8

[User]
if 1 tic equals 5 tacs and 2 tacs equal 8 tocs, what is the ratio of one tic to one toc?
Answer the question using a single word or phrase.

[Assistant] 20 / 1

[User]
one hour after yolanda started walking from x to y, a distance of 65 miles, bob started walking along the same road from y to x. if yolanda â s walking rate was 5 miles per hour and bob â s was 7 miles per hour, how many miles had bob walked when they met?
Answer the question using a single word or phrase.

[Assistant] 35

[User]
if 30 % of 100 is greater than 50 % of a number by 10, then the number is?
Answer the question using a single word or phrase.

[Assistant] 40


[User]
there were 35 students in a hostel. due to the admission of 7 new students, he expenses of the mess were increased by rs. 42 per day while the average expenditure per head diminished by rs 1. what was the original expenditure of the mess?
Answer the question using a single word or phrase.

[Assistant] 420

[User]
at a speed of 40 miles per hour, a certain car uses 1 gallon of gasoline every 40 miles. if the car starts with a full 12 gallon tank of gasoline and travels for 5 hours at 40 miles per hour, the amount of gasoline used would be what fraction of a full tank?
Answer the question using a single word or phrase.

[Assistant] 5 / 12

[User]
niharika covers a distance in 30 min, if she drives at a speed of 60 km / h on an average. find the speed at which she must drive at to reduce the time of the journey by 30 %.
Answer the question using a single word or phrase.

[Assistant] 85.71 kmph.

[User]
rahul's housing colony have one tap, working alone at its maximum constant rate, can fill a certain tank in 230 seconds. a second tap, working alone at its maximum constant rate, can fill the same tank in 234 seconds. if both taps work together at their respective maximum constant rates, the time it will take to fill the tank is closest to
Answer the question using a single word or phrase.

[Assistant] 116 seconds

[User]
a certain junior class has 1,000 students and a certain senior class has 600 students. among these students, there are 60 siblings pairs, each consisting of 1 junior and 1 senior. if 1 student is to be selected at random from each class, what is the probability that the 2 students selected at will be a sibling pair?
Answer the question using a single word or phrase.

[Assistant] 1 / 10,000


[User]
a man goes from a to b at a speed of 35 kmph and comes back to a at a speed of 28 kmph. find his average speed for the entire journey?
Answer the question using a single word or phrase.

[Assistant] 38.1 kmph

[User]
the parameter of a square is equal to the perimeter of a rectangle of length 22 cm and breadth 20 cm. find the circumference of a semicircle whose diameter is equal to the side of the square.
Answer the question using a single word or phrase.

[Assistant] 33.0

[User]
a certain lab experiments with white and brown mice only. in one experiment, 2 / 5 of the mice are brown. if there are 12 white mice in the experiment, how many mice in total are in the experiment?
Answer the question using a single word or phrase.

[Assistant] 20

[User]
last month, john rejected 0.5 % of the products that he inspected and jane rejected 0.6 percent of the products that she inspected. if total of 0.75 percent of the products produced last month were rejected, what fraction of the products did jane inspect?
Answer the question using a single word or phrase.

[Assistant] 1 / 4

[User]
the total number of digits used in numbering the pages of a book having 346 pages is
Answer the question using a single word or phrase.

[Assistant] 930


[User]
a light has a rating of 110 watts, it is replaced with a new light that has 30 % higher wattage. how many watts does the new light have?
Answer the question using a single word or phrase.

[Assistant] 143

[User]
a train 150 m long crosses a platform 100 m long in 10 sec ; find the speed of the train?
Answer the question using a single word or phrase.

[Assistant] 90

[User]
calculate the time it will take for a train that is 240 meter long to pass a bridge of 130 meter length, if the speed of the train is 50 km / hour?
Answer the question using a single word or phrase.

[Assistant] 26.64 seconds

[User]
there are 200 doctors and nurses at a hospital. if the ratio of doctors to nurses is 4 to 6, how many nurses are at the hospital?
Answer the question using a single word or phrase.

[Assistant] 120

[User]
milk contains 5 % water. what content of pure milk should be added to 10 liters of milk to reduce this to 2 %?
Answer the question using a single word or phrase.

[Assistant] 15 liters


[User]
the current in a river is 4 mph. a boat can travel 18 mph in still water. how far up the river can the boat travel if the round trip is to take 10 hours?
Answer the question using a single word or phrase.

[Assistant] 85.5 miles

[User]
a batsman scored 90 runs which included 2 boundaries and 5 sixes. what percent of his total score did he make by running between the wickets.
Answer the question using a single word or phrase.

[Assistant] 57 %

[User]
for any integer k greater than 1, the symbol k * denotes the product of all integers between 1 and k, inclusive. if k * is a multiple of 2835 what is the least possible value of k?
Answer the question using a single word or phrase.

[Assistant] 9

[User]
in a class of 120 students, 25 did not opt for math. 10 did not opt for science and 2 did not opt for either. how many students of the class opted for both math and science?
Answer the question using a single word or phrase.

[Assistant] 87

[User]
at joes steakhouse the hourly wage for a chef is 20 % 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] $ 3.40


[User]
101 ã — 101 + 99 ã — 99 =?
Answer the question using a single word or phrase.

[Assistant] 20002

[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 female or younger than 70 years old?
Answer the question using a single word or phrase.

[Assistant] 231 / 260

[User]
jaclyn buys $ 40 000 worth of debentures in a company. she earns 9.5 % p. a. simple interest, paid to her quarterly ( that is, every 3 months ). if the agreed period of the debenture was 18 months : calculate the amount of interest jaclyn will earn for each quarter
Answer the question using a single word or phrase.

[Assistant] 950

[User]
60 percent of andrea's living room floor is covered by a carpet that is 4 feet by 9 feet. what is the area of her living room floor?
Answer the question using a single word or phrase.

[Assistant] 60

[User]
a case contains c cartons. each carton contains b boxes, and each box contains 500 paper clips. how many paper clips are contained in 2 cases?
Answer the question using a single word or phrase.

[Assistant] 1000 bc


[User]
a car started running at a speed of 30 km / hr and the speed of the car was increased by 2 km / hr at the end of every hour. find the total distance covered by the car in the first 8 hours of the journey.
Answer the question using a single word or phrase.

[Assistant] 296 km

[User]
a, b and c start a business with each investing rs 20000. after 5 months a withdraws rs 5000, b withdraws rs 4000 and c invests rs 6000 more. at the end of the year, a total profit of rs 69900 was recorded. find the share of a.
Answer the question using a single word or phrase.

[Assistant] 20500

[User]
the c. p of 15 books is equal to the s. p of 20 books. find his gain % or loss %?
Answer the question using a single word or phrase.

[Assistant] 25 % loss

[User]
vishal invested 10 % more than trishul. trishul invested 10 % less than raghu. if the total sum of their investments is rs. 6647, how much amount did raghu invest?
Answer the question using a single word or phrase.

[Assistant] 2300

[User]
sonika bought a v. c. r. at the list price of 18,800. if the rate of sales tax was 8 %, find the amount she had to pay for purchasing the v. c. r.
Answer the question using a single word or phrase.

[Assistant] 20,304


[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. 42 per litre so as to make a profit of 20 % on cost when he sells the resulting milk and water mixture for rs. 48 in what ratio should he mix the water and milk?
Answer the question using a single word or phrase.

[Assistant] 1 : 20

[User]
4524 -? = 2456
Answer the question using a single word or phrase.

[Assistant] none of these

[User]
in a weight - lifting competition, the total weight of joe's two lifts was 600 pounds. if twice the weight of his first lift was 300 pounds more than the weight of his second lift, what was the weight, in pounds, of his first lift?
Answer the question using a single word or phrase.

[Assistant] 300

[User]
find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 12 cm.
Answer the question using a single word or phrase.

[Assistant] 228 cm 2

[User]
in measuring the sides of a rectangle, one side is taken 8 % in excess, and the other 7 % in deficit. find the error percent in the area calculated from these measurements.
Answer the question using a single word or phrase.

[Assistant] 0.44 %


[User]
what is the 9 th digit to the right of the decimal point in the decimal equivalent of 48 / 11?
Answer the question using a single word or phrase.

[Assistant] 3

[User]
a is two years older than b who is twice as old as c. the total of the ages of a, b and c is 27. how old is b?
Answer the question using a single word or phrase.

[Assistant] 10

[User]
find the value of x : x ² + 6 x + 9.
Answer the question using a single word or phrase.

[Assistant] - 3

[User]
joe needs to paint all the airplane hangars at the airport, so he buys 360 gallons of paint to do the job. during the first week, he uses 1 / 6 of all the paint. during the second week, he uses 1 / 5 of the remaining paint. how many gallons of paint has joe used?
Answer the question using a single word or phrase.

[Assistant] 120

[User]
the e train leaves station a moving at a constant speed, and passes by stations b and c, in this order. it takes the e train 7 hours to reach station b, and 5 additional hours to reach station c. the distance between stations a and b is m kilometers longer than the distance between stations b and c. what is the distance between stations a and c in terms of m?
Answer the question using a single word or phrase.

[Assistant] 6 m


[User]
dana borrows 5000 pounds annually for her college education. if dana gives her parents 4 % of that amount back each month, how much will she still owe her parents after 4 years of college?
Answer the question using a single word or phrase.

[Assistant] 10200

[User]
a student scored an average of 75 marks in 3 subjects : physics, chemistry and mathematics. if the average marks in physics and mathematics is 90 and that in physics and chemistry is 70, what are the marks in physics?
Answer the question using a single word or phrase.

[Assistant] 95

[User]
a positive number x is multiplied by 8, and this product is then divided by 3. if the positive square root of the result of these two operations equals x, what is the value of x?
Answer the question using a single word or phrase.

[Assistant] 8 / 3

[User]
a and b working together could mow a field in 28 days and with the help of c they could have mowed it in 21 days. how long would c take by himself?
Answer the question using a single word or phrase.

[Assistant] 84 days

[User]
two employees x and y are paid a total of rs. 590 per week by their employer. if x is paid 120 percent of the sum paid to y, how much is y paid per week?
Answer the question using a single word or phrase.

[Assistant] s. 268


[User]
tom opened a shop investing rs. 30000. jose joined him 2 months later, investing rs. 45000. they earned a profit of rs. 36000 after completion of one year. what will be jose's share of profit?
Answer the question using a single word or phrase.

[Assistant] 20000

[User]
if 10 % of x = 20 % of y, then x : y is equal to?
Answer the question using a single word or phrase.

[Assistant] 2 : 1

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

[Assistant] 52 %

[User]
a and b can do a work in 12 days, b and c in 30 days and c and a in 36 days. in how many days will the work be completed, if all three of them work together?
Answer the question using a single word or phrase.

[Assistant] 180 / 13

[User]
if the median of a list of numbers is m, the first quartile of the list is the median of the numbers in the list that are less than m. what is the first quartile of the list of numbers 42, 24, 30, 22, 28, 19, 33 and 35?
Answer the question using a single word or phrase.

[Assistant] 23


[User]
a and b can do a piece of work in 18 days ; band c can do it in 24 days a and c can do it in 36 days. in how many days will a, band c finish it together?
Answer the question using a single word or phrase.

[Assistant] 16 days

[User]
what is the sum of all possible solutions to | x - 3 | ^ 2 + | x - 3 | = 30?
Answer the question using a single word or phrase.

[Assistant] 5

[User]
let the number which when multiplied by 12 is increased by 198.
Answer the question using a single word or phrase.

[Assistant] 18

[User]
200 college students were asked in a survey if they preferred windows or mac brand computers. 70 students claimed that they preferred mac to windows brand computers. one third as many of the students who preferred mac to windows, equally preferred both brands. 80 of the students had no preference. how many of the students in the survey preferred windows to mac brand computers?
Answer the question using a single word or phrase.

[Assistant] 50

[User]
what is the smallest no. that should be added to 27452 to make it exactly divisible by 9?
Answer the question using a single word or phrase.

[Assistant] 9


[User]
a circle graph shows how the megatech corporation allocates its research and development budget : 14 % microphotonics ; 25 % home electronics ; 15 % food additives ; 29 % genetically modified microorganisms ; 8 % industrial lubricants ; and the remainder for basic astrophysics. if the arc of each sector of the graph is proportional to the percentage of the budget it represents, how many degrees of the circle are used to represent basic astrophysics research?
Answer the question using a single word or phrase.

[Assistant] 33 °

[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 ( in seconds ) which they take to cross each other, is :
Answer the question using a single word or phrase.

[Assistant] 10.8

[User]
a certain company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales were up 7 percent from 1996. if total revenues from car sales and truck sales in 1997 were up 1 percent from 1996, what is the ratio t of revenue from car sales in 1996 to revenue from truck sales in 1996?
Answer the question using a single word or phrase.

[Assistant] 1 : 2

[User]
in a recent election, geoff received 0.5 percent of the 6,000 votes cast. to win the election, a candidate needed to receive more than x % of the vote. if geoff needed exactly 3,000 more votes to win the election, what is the value of x?
Answer the question using a single word or phrase.

[Assistant] 50.5

[User]
if a ^ 3 is divisible by 240 what is the least possible value of integer a?
Answer the question using a single word or phrase.

[Assistant] 60


[User]
a goods train runs at a speed of 72 kmph and crosses a 250 m long platform in 26 seconds. what is the length of the goods train?
Answer the question using a single word or phrase.

[Assistant] 270 m

[User]
the average of temperatures at noontime from monday to friday is 60 ; the lowest one is 50, what is the possible maximum range of the temperatures?
Answer the question using a single word or phrase.

[Assistant] 50

[User]
find the area of a rhombus one side of which measures 20 cm and one diagonal is 26 cm.
Answer the question using a single word or phrase.

[Assistant] 416 cm 2

[User]
what are the last two digits of ( 301 * 402 * 503 * 604 * 646 * 547 * 448 * 349 ) ^ 2
Answer the question using a single word or phrase.

[Assistant] 76

[User]
if two of the 4 expressions x + y, x + 5 y, x - y, and 5 x - y are chosen at random, what is the probability t that their product will be of the form of x ^ 2 - ( by ) ^ 2, where b is an integer?
Answer the question using a single word or phrase.

[Assistant] t = 1 / 6


[User]
if n = 2.0767 and n * is the decimal obtained by rounding n to the nearest hundredth, what is the value of n * – n?
Answer the question using a single word or phrase.

[Assistant] 0.0033

[User]
list f consists of 12 consecutive integers. if - 4 is the least integer in list f, what is the range of positive integers in list f?
Answer the question using a single word or phrase.

[Assistant] 6

[User]
a man is 32 years older than his son. in two years, his age will be twice the age of his son. the present age of the son is?
Answer the question using a single word or phrase.

[Assistant] 30

[User]
a man can row upstream at 8 kmph and downstream at 13 kmph. the speed of the stream is?
Answer the question using a single word or phrase.

[Assistant] 2.5 kmph

[User]
a vessel of capacity 30 litres is fully filled with pure milk. nine litres of milk is removed from the vessel and replaced with water. nine litres of the solution thus formed is removed and replaced with water. find the quantity of pure milk in the final milk solution?
Answer the question using a single word or phrase.

[Assistant] 14.7


[User]
in smithtown, the ratio of right - handed people to left - handed people is 3 to 1 and the ratio of men to women is 3 to 2. if the number of right - handed men is maximized, then what s percent of all the people in smithtown are left - handed women?
Answer the question using a single word or phrase.

[Assistant] 25 %

[User]
a man is 24 years older than his son. in two years, his age will be twice the age of his son. the present age of this son is
Answer the question using a single word or phrase.

[Assistant] 22 years

[User]
how many cubes of 10 cm edge can be put in a cubical box of 1 m edge
Answer the question using a single word or phrase.

[Assistant] 1000

[User]
each of the integers from 1 to 14 is written on the a seperate index card and placed in a box. if the cards are drawn from the box at random without replecement, how many cards must be drawn to ensure that the product of all the integers drawn is even?
Answer the question using a single word or phrase.

[Assistant] 8

[User]
two trains of length 200 m and 300 m are 200 m apart. they start moving towards each other on parallel tracks, at speeds 36 kmph and 72 kmph. in how much time will the trains cross each other?
Answer the question using a single word or phrase.

[Assistant] 70 / 3


[User]
a salesman ’ s terms were changed from a flat commission of 5 % on all his sales to a fixed salary of rs. 1200 plus 2.5 % commission on all sales exceeding rs. 4,000. if his remuneration as per new scheme was rs. 1200 more than that by the previous schema, his sales were worth?
Answer the question using a single word or phrase.

[Assistant] 16000

[User]
i chose a number and divide it by 6. then i subtracted 15 from the result and got 5. what was the number i chose?
Answer the question using a single word or phrase.

[Assistant] 120

[User]
veena ranks 44 rd from the top in a class of 182. what is her rank from the bottom if 22 students have failed the examination?
Answer the question using a single word or phrase.

[Assistant] 117

[User]
an alloy of copper and zinc contains copper and zinc in the ratio 5 : 4. another alloy of copper and zinc contains copper and zinc in the ratio 3 : 6. in what ratio should the two alloys be mixed so that the resultant alloy contains equal proportions of copper and zinc?
Answer the question using a single word or phrase.

[Assistant] 1 : 3

[User]
find the area of a parallelogram with base 26 cm and height 14 cm?
Answer the question using a single word or phrase.

[Assistant] 364 cm 2


[User]
after decreasing 24 % in the price of an article costs rs. 532. find the actual cost of an article?
Answer the question using a single word or phrase.

[Assistant] 700

[User]
a motorcyclist started riding at highway marker a, drove 120 miles to highway marker b, and then, without pausing, continued to highway marker c, where she stopped. the average speed of the motorcyclist, over the course of the entire trip, was 25 miles per hour. if the ride from marker a to marker b lasted 3 times as many hours as the rest of the ride, and the distance from marker b to marker c was half of the distance from marker a to marker b, what was the average speed, in miles per hour, of the motorcyclist while driving from marker b to marker c?
Answer the question using a single word or phrase.

[Assistant] 108

[User]
an engineer designed a ball so that when it was dropped, it rose with each bounce exactly one - half as high as it had fallen. the engineer dropped the ball from a 16 - meter platform and caught it after it had traveled 44.5 meters. how many times did the ball bounce?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
of 70 players on a cricket team, 37 are throwers. the rest of the team is divided so one third are left - handed and the rest are right handed. assuming that all throwers are right handed, how many right - handed players are there total?
Answer the question using a single word or phrase.

[Assistant] 59

[User]
a rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. find the area of the path and the cost of constructing it at rs. 5 per sq m?
Answer the question using a single word or phrase.

[Assistant] 675, rs. 3375


[User]
an integer n between 1 and 100, inclusive, is to be chosen at random. what is the probability that n ( n + 1 ) will be divisible by 4?
Answer the question using a single word or phrase.

[Assistant] 1 / 2

[User]
the product of two numbers is 120 and the sum of their squares is 289. the sum of the number is?
Answer the question using a single word or phrase.

[Assistant] 23

[User]
an army ’ s recruitment process included n rounds of selection tasks. for the first a rounds, the rejection percentage was 60 percent per round. for the next b rounds, the rejection percentage was 50 percent per round and for the remaining rounds, the selection percentage was 70 percent per round. if there were 100000 people who applied for the army and 1400 were finally selected, what was the value of n?
Answer the question using a single word or phrase.

[Assistant] 6

[User]
express a speed of 342 kmph in meters per second?
Answer the question using a single word or phrase.

[Assistant] 90 mps

[User]
how many positive integers less than 50 are multiples of 3 but not multiples of 5?
Answer the question using a single word or phrase.

[Assistant] 12


[User]
out of 9 persons, 8 persons spent rs. 30 each for their meals. the ninth one spent rs. 20 more than the average expenditure of all the 9. the total money spent by all of them was
Answer the question using a single word or phrase.

[Assistant] rs. 292.50

[User]
a driver just filled the car's gas tank with 36 liters of gasohol, a mixture consisting of 5 % ethanol and 95 % gasoline. if the car runs best on a mixture consisting of 10 % ethanol and 90 % gasoline, how many liters of ethanol must be added into the gas tank for the car to achieve optimum performance?
Answer the question using a single word or phrase.

[Assistant] 2

[User]
when working alone, painter w can paint a room in 2 hours, and working alone, painter x can paint the same room in f hours. when the two painters work together and independently, they can paint the room in 3 / 4 of an hour. what is the value of f?
Answer the question using a single word or phrase.

[Assistant] 1 [ 1 / 5 ]

[User]
a woman invested $ 1,000, part at 5 % and the rest at 6 %. her total investment with interest at the end of the year was $ 1,054. how much did she invest at 5 %?
Answer the question using a single word or phrase.

[Assistant] $ 600

[User]
what is the rate percent when the simple interest on rs. 800 amount to rs. 192 in 4 years?
Answer the question using a single word or phrase.

[Assistant] 6 %


[User]
the average of 10 numbers is calculated as 16. it is discovered later on that while calculating the average, the number 45 was incorrectly read as 25, and this incorrect number was used in the calculation. what is the correct average?
Answer the question using a single word or phrase.

[Assistant] 18

[User]
what percent of 15 is 15 percent of 1?
Answer the question using a single word or phrase.

[Assistant] 1

[User]
two trains a and b starting from two points and travelling in opposite directions, reach their destinations 9 hours and 4 hours respectively after meeting each other. if the train a travels at 70 kmph, find the rate at which the train b runs.
Answer the question using a single word or phrase.

[Assistant] 105

[User]
7528 : 5306 : : 4673 :?
Answer the question using a single word or phrase.

[Assistant] 2451

[User]
in a urban village of india named ` ` owlna ' ', 70 % people have refrigerator, 75 % people have television, 90 % people got computers and 85 % got air - conditionor. how many people ( minimum ) got all these luxury.
Answer the question using a single word or phrase.

[Assistant] 20 %


[User]
a merchant has selected two items to be placed on sale, one of which currently sells for 20 percent less than the other. if he wishes to raise the price of the cheaper item so that the two items are equally priced, by what percentage must he raise the price of the less expensive item?
Answer the question using a single word or phrase.

[Assistant] 25 %

[User]
what is the ratio between perimeters of two squares one having 5 times the diagonal then the other?
Answer the question using a single word or phrase.

[Assistant] 5 : 1

[User]
find the area of a parallelogram with base 48 cm and height 36 cm?
Answer the question using a single word or phrase.

[Assistant] 1728 cm 2

[User]
a and b complete a work in 3 days. a alone can do it in 9 days. if both together can do the work in how many days?
Answer the question using a single word or phrase.

[Assistant] 4.75 days

[User]
a question paper has 2 parts, a & b, each containing 10 questions. if a student has to choose 8 from part a & 5 from part b, in how many ways can he choose the questions?
Answer the question using a single word or phrase.

[Assistant] 1140


[User]
what must be added to each term of the ratio 4 : 15, so that it may become equal to 3 : 4?
Answer the question using a single word or phrase.

[Assistant] 29

[User]
what is the greatest prime factor of ( 11! × 10!   + 10! × 9! ) / 111?
Answer the question using a single word or phrase.

[Assistant] 7

[User]
a sum of money is to be distributed among a, b, c, d in the proportion of 5 : 2 : 4 : 3. if c gets rs. 1000 more than d, what is b's share?
Answer the question using a single word or phrase.

[Assistant] 2000

[User]
there are 11 teams in a soccer league and each team plays each of the other teams once. how many games will be played in total?
Answer the question using a single word or phrase.

[Assistant] 55

[User]
the average of 10 numbers was calculated as 17. it is discovered later on that while calculating the average, one number, namely 56, was incorrectly read as 26. what is the correct average?
Answer the question using a single word or phrase.

[Assistant] 20


[User]
the average of 6 observations is 15. a new observation is included and the new average is decreased by 1. the seventh observation is?
Answer the question using a single word or phrase.

[Assistant] 8

[User]
a bag holds 4 red marbles and 4 green marbles. if you removed two randomly selected marbles from the bag, without replacement, what is the probability that both would be red?
Answer the question using a single word or phrase.

[Assistant] 3 / 14

[User]
a motorcyclist goes from bombay to pune, a distance of 288 kms at an average of 32 kmph speed. another man starts from bombay by car 2 ½ hours after the first, and reaches pune ½ hour earlier. what is the ratio of the speed of the motorcycle and the car?
Answer the question using a single word or phrase.

[Assistant] 2 : 3

[User]
what is the area of square field whose side of length 5 m?
Answer the question using a single word or phrase.

[Assistant] 25 sq m

[User]
if 25 % of x is 30 less than 15 % of 1500, then x is?
Answer the question using a single word or phrase.

[Assistant] 780


[User]
by selling an article at rs. 1000, a shopkeeper makes a profit of 25 %. at what price should he sell the article so as to make a loss of 25 %?
Answer the question using a single word or phrase.

[Assistant] s. 600

[User]
if the population of a certain country increases at the rate of one person every 20 seconds, by how many persons does the population increase in 1 hour?
Answer the question using a single word or phrase.

[Assistant] 180

[User]
working alone, printers x, y, and z can do a certain printing job, consisting of a large number of pages, in 12, 40, and 50 hours, respectively. what is the ratio of the time it takes printer x to do the job, working alone at its rate, to the time it takes printers y and z to do the job, working together at their individual rates?
Answer the question using a single word or phrase.

[Assistant] 200 / 9

[User]
jane and thomas are among the 9 people from which a committee of 4 people is to be selected. how many different possible committees of 4 people can be selected from these 9 people if at least one of either jane or thomas is to be selected?
Answer the question using a single word or phrase.

[Assistant] 91

[User]
albert is 2 times mary ’ s age and 4 times as old as betty. mary is 22 years younger than albert. how old is betty?
Answer the question using a single word or phrase.

[Assistant] 11


[User]
a train speeds past a pole in 10 seconds and a platform 150 m long in 25 seconds. its length is :
Answer the question using a single word or phrase.

[Assistant] 100 m.

[User]
two brother x and y appeared for an exam. the probability of selection of x is 1 / 5 and that of b is 2 / 3. find the probability that both of them are selected.
Answer the question using a single word or phrase.

[Assistant] 2 / 15

[User]
what is the smallest number which when increased by 7 is divisible by 25, 49, 15, and 21?
Answer the question using a single word or phrase.

[Assistant] 3,668

[User]
at the opening of a trading day at a certain stock exchange, the price per share of stock k was $ 10. if the price per share of stock k was $ 15 at the closing of the day, what was the percent increase in the price per share of stock k for that day?
Answer the question using a single word or phrase.

[Assistant] 50 %

[User]
find the least number which when divided by 5, 6,7, and 8 leaves a remainder 3, but when divided by 9 leaves no remainder.
Answer the question using a single word or phrase.

[Assistant] 1683


[User]
a can give b 100 meters start and c 150 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] 55.55 meters

[User]
if 213 × 16 = 3408, then 1.6 × 2.13 is equal to :
Answer the question using a single word or phrase.

[Assistant] 3.408

[User]
in how many no. between 100 and 1000 exactly one of the digits is 3?
Answer the question using a single word or phrase.

[Assistant] 225

[User]
the owner of a furniture shop charges his customer 25 % more than the cost price. if a customer paid rs. 8340 for a computer table, then what was the cost price of the computer table?
Answer the question using a single word or phrase.

[Assistant] rs. 6672

[User]
everyone shakes hands with everyone else in a room. total number of handshakes is 78. number of persons =?
Answer the question using a single word or phrase.

[Assistant] 13


[User]
if n is a positive integer and n ^ 2 is divisible by 134, then the largest positive integer that must divide n is
Answer the question using a single word or phrase.

[Assistant] 24

[User]
in a group of 400 players some are outdoor players, some are indoor players and some plays both. 350 plays outdoors and 110 plays indoor. how many plays indoor as well as outdoor games.
Answer the question using a single word or phrase.

[Assistant] 60

[User]
if 50 % of x equals the sum of y and 20, then what is the value of x – 2 y?
Answer the question using a single word or phrase.

[Assistant] 40

[User]
weights of two friends ram and shyam are in the ratio of 4 : 5. ram ’ s weight increases by 10 % and the total weight of ram and shyam together becomes 82.8 kg, with an increase of 15 %. by what per cent did the weight of shyam increase?
Answer the question using a single word or phrase.

[Assistant] 19 %

[User]
1397 x 1397
Answer the question using a single word or phrase.

[Assistant] 1951609


[User]
if n divided by 9 has a remainder of 8, what is the remainder when 2 times n is divided by 9?
Answer the question using a single word or phrase.

[Assistant] 7

[User]
barbata invests $ 2400 in the national bank at 4 %. how much additional money must she invest at 8 % so that the total annual income will be equal to 6 % of her entire investment?
Answer the question using a single word or phrase.

[Assistant] 2400

[User]
what is the value of ( 4 ) ^ - 5?
Answer the question using a single word or phrase.

[Assistant] 1 / 1024

[User]
if m is an integer such that ( - 2 ) ^ 2 m = 2 ^ ( 12 - m ) then m =?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
p and q are the only two applicants qualified for a short - term research project that pays 540 dollars in total. candidate p has more experience and, if hired, would be paid 50 percent more per hour than candidate q would be paid. candidate q, if hired, would require 10 hours more than candidate p to do the job. candidate p ’ s hourly wage is how many dollars greater than candidate q ’ s hourly wage?
Answer the question using a single word or phrase.

[Assistant] $ 9


[User]
the average of the marks of 12 students in a class is 50. if the marks of each student are doubled, find the new average?
Answer the question using a single word or phrase.

[Assistant] 100

[User]
if 75 percent of a class answered the first question on a certain test correctly, 25 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly?
Answer the question using a single word or phrase.

[Assistant] 20 %

[User]
pipe a can fill a tank in 6 hours. due to a leak at the bottom, it takes 8 hours for the pipe a to fill the tank. in what time can the leak alone empty the full tank?
Answer the question using a single word or phrase.

[Assistant] 24

[User]
if the sum of two numbers is 55 and the h. c. f. and l. c. m. of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to :
Answer the question using a single word or phrase.

[Assistant] 11 / 120

[User]
in a factory, there are 60 % technicians and 100 % non - technicians. if the 60 % of the technicians and 100 % of non - technicians are permanent employees, then the percentage of workers who are temporary is?
Answer the question using a single word or phrase.

[Assistant] 85 %


[User]
the average salary of a person for the months of january, february, march and april is rs. 8000 and that for the months february, march, april and may is rs. 8200. if his salary for the month of may is rs. 6500, find his salary for the month of january?
Answer the question using a single word or phrase.

[Assistant] 5700

[User]
the average age of 15 students of a class is 15 years. out of these, the average age of 5 students is 12 years and that of the other 9 students is 16 years. the age of the 15 th student is?
Answer the question using a single word or phrase.

[Assistant] 21 years

[User]
the width of a rectangular hall is ½ of its length. if the area of the hall is 800 sq. m, what is the difference between its length and breadth?
Answer the question using a single word or phrase.

[Assistant] 20 m

[User]
what decimal fraction is 20 ml of a litre?
Answer the question using a single word or phrase.

[Assistant] . 02

[User]
if n is a positive integer and the product of all integers from 1 to n, inclusive, is a multiple of 210, what is the least possible value of n?
Answer the question using a single word or phrase.

[Assistant] 7


[User]
a man covers a distance on scooter. had he moved 3 kmph faster he would have taken 40 min less. if he had moved 2 kmph slower, he would have taken 40 min more. the distance is.
Answer the question using a single word or phrase.

[Assistant] 40 km

[User]
p is 50 % more efficient than q. p can complete a work in 25 days. if p and q work together, how many days will it take to complete the same work?
Answer the question using a single word or phrase.

[Assistant] 15

[User]
a can do a piece of work in 4 hours. a and c together can do it in just 2 hours, while b and c together need 3 hours to finish the same work. b alone can complete the work in - - - hours.
Answer the question using a single word or phrase.

[Assistant] 12

[User]
beginning in town a, biker bob rides his bike 12 miles west, 6 miles north, 4 miles east, and then 12 miles north, to town b. how far apart are town a and town b? ( ignore the curvature of the earth. )
Answer the question using a single word or phrase.

[Assistant] 18.97 miles

[User]
median w of price of the car is 52000. which could be the median of the other two. 35000, 44000, x, y, 57000.
Answer the question using a single word or phrase.

[Assistant] 56000


[User]
each man in a gang of 100 investors has investments ineither equities or securities or both. exactly 2525 of the investors in equities haveinvestments in securities, exactly 4040 of the investorsin securities have investments inequities. how many have investmentsin equities?
Answer the question using a single word or phrase.

[Assistant] 80

[User]
a certain country had a total annual expenditure of $ 9.6 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] $ 4,000

[User]
in the manufacture of a certain product, 6 percent of the units produced are defective and 4 percent of the defective units are shipped for sale. what percent of the units produced are defective units that are shipped for sale?
Answer the question using a single word or phrase.

[Assistant] 0.24 %

[User]
the area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of rs. 1.10 per meter. two gates of 1 m width each are to be left for entrance. what is the total cost?
Answer the question using a single word or phrase.

[Assistant] 732.6

[User]
the distance between 2 cities a and b is 1000 km. a train starts from a at 8 a. m. and travels towards b at 100 km / hr. another starts from b at 9 a. m. and travels towards a at 150 km / hr. at what time do they meet?
Answer the question using a single word or phrase.

[Assistant] 1 p. m.


[User]
445, 221, 109, 53,...
Answer the question using a single word or phrase.

[Assistant] 25

[User]
car a runs at the speed of 65 km / hr & reaches its destination in 8 hr. car b runs at the speed of 70 km / h & reaches its destination in 5 h. what is the respective ratio of distances covered by car a & car b?
Answer the question using a single word or phrase.

[Assistant] 52 : 35

[User]
find the least number must be subtracted from 568219 so that remaining no. is divisible by 5?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
if the cost price of 40 articles is equal to the selling price of 25 articles, what is the % profit or loss made by the merchant?
Answer the question using a single word or phrase.

[Assistant] 60 % profit

[User]
the numbers 272738 and 232342, when divided by n, a two digit number, leave a remainder of 13 and 17 respectively. find the sum of the digits of n?
Answer the question using a single word or phrase.

[Assistant] 7


[User]
the area of an isosceles trapezoid with sides of length 5 and bases of length 11 and 17 is?
Answer the question using a single word or phrase.

[Assistant] 56

[User]
find the area of a parallelogram with base 36 cm and height 18 cm?
Answer the question using a single word or phrase.

[Assistant] 648 cm 2

[User]
when y is divided by 288, the remainder is 45. what is the remainder when the same y is divided by 24?
Answer the question using a single word or phrase.

[Assistant] 21

[User]
what is the sum of all 3 digit numbers that leave a remainder of'2'when divided by 6?
Answer the question using a single word or phrase.

[Assistant] 82,650

[User]
how many bricks, each measuring 50 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm?
Answer the question using a single word or phrase.

[Assistant] 3200


[User]
if teena is driving at 55 miles per hour and is currently 7.5 miles behind yoe, who is driving at 40 miles per hour in the same direction then in how many minutes will teena be 15 miles ahead of yoe?
Answer the question using a single word or phrase.

[Assistant] 90

[User]
at a certain zoo, the ratio of lions to penguins is 3 to 11. if there are 82 more penguins than lions at the zoo, how many lions are there?
Answer the question using a single word or phrase.

[Assistant] 30

[User]
if 15 % of 30 % of 50 % of a number is 117, then what is the number?
Answer the question using a single word or phrase.

[Assistant] 5200

[User]
machine a produces 100 parts twice as fast as machine b does. machine b produces 100 parts in 20 minutes. if each machine produces parts at a constant rate, how many parts does machine a produce in 8 minutes?
Answer the question using a single word or phrase.

[Assistant] 80

[User]
during a special promotion, a certain filling station is offering a 10 percent discount on gas purchased after the first 10 gallons. if kim purchased 20 gallons of gas, and isabella purchased 25 gallons of gas, then isabella ‟ s total per - gallon discount is what percent of kim ‟ s total per - gallon discount?
Answer the question using a single word or phrase.

[Assistant] 120 %


[User]
cereal a is 10 % sugar by weight, whereas healthier but less delicious cereal b is 4 % sugar by weight. to make a delicious and healthy mixture that is 6 % sugar, what should be the ratio of cereal a to cereal b, by weight?
Answer the question using a single word or phrase.

[Assistant] 1 : 2

[User]
how many numbers between 190 and 580 are divisible by 45 and 6?
Answer the question using a single word or phrase.

[Assistant] 6

[User]
if the cost price of 50 articles is equal to the selling price of 28 articles, then the gain or loss percent is?
Answer the question using a single word or phrase.

[Assistant] 78.57

[User]
a block of wood has dimensions 10 cm x 10 cm x 100 cm. the block is painted red and then cut evenly at the 50 cm mark, parallel to the sides, to form two rectangular solids of equal volume. what percentage of the surface area of each of the new solids is not painted red?
Answer the question using a single word or phrase.

[Assistant] 4.5 %

[User]
the length of a rectangle is twice its breadth. if its length is decreased by 5 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 75 sq. cm. find the length of the rectangle.
Answer the question using a single word or phrase.

[Assistant] 20


[User]
out of 420 students of a school, 325 play football, 175 play cricket and 50 neither play football nor cricket. how many students play both football and cricket?
Answer the question using a single word or phrase.

[Assistant] 130

[User]
in a certain company, the ratio of the number of managers to the number of non - managers in any department must always be greater than 5 : 24. in the company, what is the maximum number of non - managers in a department that has 8 managers :
Answer the question using a single word or phrase.

[Assistant] 38

[User]
the average runs scored by a batsman in 15 matches is 30. in the next 20 matches the batsman scored an average of 15 runs. find his average in all the 30 matches?
Answer the question using a single word or phrase.

[Assistant] 21.43

[User]
a goes to place x and b goes to place y. after a travelled 180 km more than b they together meet at a point between xy. they together had their lunch for half an hour. after that a took 2 hrs to reach x and b took 4.5 hrs to reach y. find distance between x and y?
Answer the question using a single word or phrase.

[Assistant] 900 km

[User]
a train 140 m long is running at 60 kmph. in how much time will it pass a platform 260 m long?
Answer the question using a single word or phrase.

[Assistant] 24 seconds


[User]
with both valves open, the pool will be filled with water in 48 minutes. the first valve alone would fill the pool in 2 hours. if the second valve emits 50 cubic meters of water more than the first every minute, then what is the capacity r of the pool?
Answer the question using a single word or phrase.

[Assistant] 12000 cubic meters

[User]
if the ratio of a to b is 2 to 3 and the ratio of b to c is 1 to 5, what is the ratio of a to c?
Answer the question using a single word or phrase.

[Assistant] 2 / 15

[User]
a factory that employs 1000 assembly line workers pays each of these workers $ 5 per hour for the first 40 hours worked during a week and 1 ½ times that rate for hours worked in excess of 40. what was the total payroll for the assembly - line workers for a week in which 30 percent of them worked 25 hours, 50 percent worked 40 hours, and the rest worked 50 hours?
Answer the question using a single word or phrase.

[Assistant] $ 192,500

[User]
a 290 meter long train running at the speed of 120 kmph crosses another train running in the opposite direction at the speed of 80 kmph in 9 seconds. what is the lenght of other train.
Answer the question using a single word or phrase.

[Assistant] 210 m

[User]
a, b and c play a cricket match. the ratio of the runs scored by them in the match is a : b = 2 : 4 and b : c = 2 : 5. if the total runs scored by all of them are 100, the runs scored by b are?
Answer the question using a single word or phrase.

[Assistant] 25


[User]
if f ( x ) = 6 x ^ 4 - 4 x ^ 3 - 3 x ^ 2 + 6 x, then f ( - 1 ) =
Answer the question using a single word or phrase.

[Assistant] 1

[User]
a train 820 m long is running at a speed of 78 km / hr. if it crosses a tunnel in 1 min, then the length of the tunnel is?
Answer the question using a single word or phrase.

[Assistant] 480

[User]
if 5 people contributed a total of $ 20.00 toward a gift and each of them contributed at least $ 3.00, then the maximum possible amount any one person could have contributed is
Answer the question using a single word or phrase.

[Assistant] $ 8.00

[User]
a man bought an article and sold it at a gain of 5 %. if he had bought it at 5 % less and sold it for re 8 less, he would have made a profit of 10 %. the c. p. of the article was
Answer the question using a single word or phrase.

[Assistant] 1600

[User]
jacob is now 12 years younger than michael. if 11 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] 5


[User]
the marks obtained by vijay and amith are in the ratio 2 : 5 and those obtained by amith and abhishek in the ratio of 3 : 2. the marks obtained by vijay and abhishek are in the ratio of?
Answer the question using a single word or phrase.

[Assistant] 3 : 5

[User]
a soccer store typically sells replica jerseys at a discount of 30 percent to 50 percent off list price. during the annual summer sale, everything in the store is an additional 20 percent off the original list price. if a replica jersey's list price is $ 80, approximately what percent e of the list price is the lowest possible sale price?
Answer the question using a single word or phrase.

[Assistant] 40

[User]
find a sum for 1 st 6 prime number's?
Answer the question using a single word or phrase.

[Assistant] 41

[User]
chris mixed 3 pounds of raisins with 4 pounds of nuts. if a pound of nuts costs 4 times as much as a pound of raisins, then the total cost of the raisins was what fraction of the total cost of the mixture?
Answer the question using a single word or phrase.

[Assistant] 3 / 19

[User]
45 x? = 45 % of 900
Answer the question using a single word or phrase.

[Assistant] 9


[User]
solve for the given equation 121 x 54 =?
Answer the question using a single word or phrase.

[Assistant] 75625

[User]
in a ratio which is equal to 7 : 9, if the antecedent is 42, then the consequent is?
Answer the question using a single word or phrase.

[Assistant] 54

[User]
john has 10 pairs of matched socks. if he loses 11 individual socks, what is the greatest number of pairs of matched socks he can have left?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
a meeting has to be conducted with 4 managers. find the number of ways in which the managers may be selected from among 7 managers, if there are 2 managers who refuse to attend the meeting together.
Answer the question using a single word or phrase.

[Assistant] 25

[User]
convert 100 inches into centimeter?
Answer the question using a single word or phrase.

[Assistant] 254 cm


[User]
nitin ranks 23 th in a class of 60 students. what is rank from the last?
Answer the question using a single word or phrase.

[Assistant] 38

[User]
in how many ways 4 boys and 1 girls can be seated in a row so that they are alternate.
Answer the question using a single word or phrase.

[Assistant] 24

[User]
{ - 10, - 6, - 5, - 4, - 2.5, - 1, 0, 2.5, 4, 6, 7, 10 } a number is to be selected at random from the set above. what is the probability that the number will be a solution to the equation ( x 3 ) ( x + 14 ) ( 2 x + 5 ) = 0?
Answer the question using a single word or phrase.

[Assistant] 1 / 12

[User]
the average of 10 numbers is 40.2. later it is found that two numbers have been wrongly copied. the first is 19 greater than the actual number and the second number added is 13 instead of 31. find the correct average.
Answer the question using a single word or phrase.

[Assistant] 40.1

[User]
the side of a rhombus is 22 m and length of one of its diagonals is 16 m. the area of the rhombus is?
Answer the question using a single word or phrase.

[Assistant] 327.9


[User]
sonika bought a v. c. r. at the list price of 18,600. if the rate of sales tax was 8 %, find the amount she had to pay for purchasing the v. c. r.
Answer the question using a single word or phrase.

[Assistant] 20,088

[User]
what is the measure of the radius of the circle that circumscribes a triangle whose sides measure 7, 24 and 25?
Answer the question using a single word or phrase.

[Assistant] 12.5

[User]
if 20 machine can finish a job in 36 days, then how many more machines would be needed to finish the job in one - third less time?
Answer the question using a single word or phrase.

[Assistant] c. 10

[User]
suganya and suriya are partners in a business. suganya invests rs. 38,000 for 8 months and suriya invests rs. 40,000 for 10 months. out of a profit of rs. 31,570. suganya's share is
Answer the question using a single word or phrase.

[Assistant] rs. 1435

[User]
suresh started a business, investing rs. 18000. after 3 months and 4 months respectively, rohan and sudhir joined him with capitals of 12000 and 9000. at the end of the year the total profit was rs. 3795. what is the difference between rohan ’ s and sudhir ’ s share in the profit?
Answer the question using a single word or phrase.

[Assistant] s. 345


[User]
for each 6 - month period during a light bulb's life span, the odds of it not burning out from over - use are half what they were in the previous 6 - month period. if the odds of a light bulb burning out during the first 6 - month period following its purchase are 1 / 3, what are the odds of it burning out during the period from 6 months to 1 year following its purchase?
Answer the question using a single word or phrase.

[Assistant] 4 / 9

[User]
a grocer has a sale of rs. 5921, rs. 5468, rs. 5568, rs. 6088 and rs. 6433 for 5 consecutive months. how much sale must he have in the sixth month so that he gets an average sale of rs. 5900?
Answer the question using a single word or phrase.

[Assistant] 5922

[User]
if x is real, find the maximum value of the expression - 2 x ^ 2 + 3 x + 5.
Answer the question using a single word or phrase.

[Assistant] 6.125

[User]
nelly made a part payment of $ 875 toward buying a brand new refrigerator, which represents 25 % of the total cost of the refrigerator, how much remains to be paid?
Answer the question using a single word or phrase.

[Assistant] $ 2625

[User]
16 is what % of 90?
Answer the question using a single word or phrase.

[Assistant] 17.78


[User]
amar takes as much time in running 12 meters as a car takes in covering 45 meters. what will be the distance covered by amar during the time the car covers 1.4 km?
Answer the question using a single word or phrase.

[Assistant] 373 m

[User]
how many 2 digit number contain number 3?
Answer the question using a single word or phrase.

[Assistant] 18

[User]
marla starts running around a circular track at the same time nick starts walking around the same circular track. marla completes 28 laps around the track per hour and nick completes 13 laps around the track per hour. how many minutes after marla and nick begin moving will marla have completed 4 more laps around the track than nick?
Answer the question using a single word or phrase.

[Assistant] 16

[User]
a, b and c invested rs. 6300, rs. 4200 and rs. 10500 respectively, in a partnership business. find the share of a in profit of rs. 14200 after a year?
Answer the question using a single word or phrase.

[Assistant] 4260

[User]
three coins are tossed. find the probability of at most 2 tails?
Answer the question using a single word or phrase.

[Assistant] 7 / 8


[User]
when a certain number x is divided by 63, the remainder is 25. what is the remainder when x is divided by 8?
Answer the question using a single word or phrase.

[Assistant] 1

[User]
the average of 25 results is 8. the average of first 12 of them is 14 and that of last 12 is 17. find the 13 result?
Answer the question using a single word or phrase.

[Assistant] 92

[User]
5.02 can be expressed in terms of percentage as
Answer the question using a single word or phrase.

[Assistant] 502 %

[User]
x and y invested in a business. they earned some profit which they divided in the ratio of 1 : 2. if x invested rs. 20,000. the amount invested by y is
Answer the question using a single word or phrase.

[Assistant] rs. 40,000

[User]
sari and ken climb up a mountain. at night, they camp together. on the day they are supposed to reach the summit, sari wakes up at 05 : 00 and starts climbing at a constant pace. ken starts climbing only at 07 : 00, when sari is already 700 meters ahead of him. nevertheless, ken climbs at a constant pace of 500 meters per hour, and reaches the summit before sari. if sari is 50 meters behind ken when he reaches the summit, at what time did ken reach the summit?
Answer the question using a single word or phrase.

[Assistant] 12 : 00


[User]
the mean of 50 observations was 36. 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] 36.5

[User]
it takes 3 workers a total of 12 hours to build a giant machine with each worker working at the same rate. if 4 workers start to build the machine at 11 : 00 am, and one extra worker per hour is added beginning at 3 : 00 pm, at what time will the machine be complete?
Answer the question using a single word or phrase.

[Assistant] 6 : 15

[User]
buffalo gives 4 liter milk, cow gives ( 1 / 2 ) liter milk and goat gives 1 / 4 liter milk. you have to get 20 liter milk by 20 animals. what is the number of cows?
Answer the question using a single word or phrase.

[Assistant] 15

[User]
claire has a total of 80 pets consisting of gerbils and hamsters only. one - quarter of the gerbils are male, and one - third of the hamsters are male. if there are 25 males altogether, how many gerbils does claire have?
Answer the question using a single word or phrase.

[Assistant] 36

[User]
a, band c can do a piece of work in 11 days, 45 days and 55 days respectively, working alone. how soon can the work be done if a is assisted by band c on alternate days?
Answer the question using a single word or phrase.

[Assistant] 9 days


[User]
15 people can write 90 book in 20 days working 7 hour a day. then in how many day 240 can be written by 72 people?
Answer the question using a single word or phrase.

[Assistant] 100 / 9

[User]
a number, x is chosen at random from the set of positive integers less than 10. what is the probability that ( 7 / x ) > x?
Answer the question using a single word or phrase.

[Assistant] 2 / 9

[User]
a factory producing tennis balls stores them in either big boxes, 25 balls per box, or small boxes, with 17 balls per box. if 94 freshly manufactured balls are to be stored, what is the least number of balls that can be left unboxed?
Answer the question using a single word or phrase.

[Assistant] 1

[User]
what is x if x + 3 y = 33 and y = 10?
Answer the question using a single word or phrase.

[Assistant] 3

[User]
a shopkeeper sold 50 articles at the cost price of 60 articles. then find the profit % or lost %
Answer the question using a single word or phrase.

[Assistant] 20 %


[User]
the owner of a furniture shop charges his customer 20 % more than the cost price. if a customer paid rs. 3000 for a computer table, then what was the cost price of the computer table?
Answer the question using a single word or phrase.

[Assistant] 2500

[User]
suresh can complete a job in 15 hours. ashutosh alone can complete the same job in 20 hours. suresh works for 9 hours and then the remaining job is completed by ashutosh. how many hours will it take ashutosh to complete the remaining job alone?
Answer the question using a single word or phrase.

[Assistant] 8

[User]
sonika deposited rs. 9000 which amounted to rs. 10200 after 3 years at simple interest. had the interest been 2 % more. she would get how much?
Answer the question using a single word or phrase.

[Assistant] 10740

[User]
jerry ’ s average ( arithmetic mean ) score on the first 3 of 4 tests is 85. if jerry wants to raise his average by 3 points, what score must he earn on the fourth test?
Answer the question using a single word or phrase.

[Assistant] 97

[User]
a card game called “ high - low ” divides a deck of 52 playing cards into 2 types, “ high ” cards and “ low ” cards. there are an equal number of “ high ” cards and “ low ” cards in the deck and “ high ” cards are worth 2 points, while “ low ” cards are worth 1 point. if you draw cards one at a time, how many ways can you draw “ high ” and “ low ” cards to earn 4 points if you must draw exactly 2 “ low ” cards?
Answer the question using a single word or phrase.

[Assistant] 3


[User]
calculate how much time could be saved if the train would run at its usual speed, given that it ran at 4 / 9 of its own speed and got to its destination in 13 hours?
Answer the question using a single word or phrase.

[Assistant] 7.22 hrs

[User]
the average age of students of a class is 15.8 years. the average age of boys in the class is 16.4 years and that of the girls is 15.3 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] 5 : 6

[User]
a boy is travelling from his home to school at 6 km / hr and reached 7 min late. next day he travelled at 12 km / hr and reached 8 min early. distance between home and school?
Answer the question using a single word or phrase.

[Assistant] 3 km

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

[Assistant] 56 m

[User]
a boat can travel with a speed of 24 km / hr in still water. if the speed of the stream is 4 km / hr, find the time taken by the boat to go 84 km downstream
Answer the question using a single word or phrase.

[Assistant] 3 hours