[User]
how many even 4 - digit integers greater than 8000 are there such that all their digits are different?
Answer the question using a single word or phrase.

[Assistant] 469

[User]
a certain farmer pays $ 60 per acre per month to rent farmland. how much does the farmer pay per month to rent a rectangular plot of farmland that is 360 feet by 1210 feet? ( 43,560 square feet = 1 acre )
Answer the question using a single word or phrase.

[Assistant] $ 600

[User]
today joelle opened an interest - bearing savings account and deposited $ 6,000. if the annual interest rate is 5 percent compounded interest, and she neither deposits nor withdraws money for exactly 2 years, how much money will she have in the account?
Answer the question using a single word or phrase.

[Assistant] $ 6615

[User]
what is x if x + 2 y = 100 and y = 25?
Answer the question using a single word or phrase.

[Assistant] 50

[User]
a can do a piece of work in 15 days. a does the work for 5 days only and leaves the job. b does the remaining work in 3 days. in how many days b alone can do the work?
Answer the question using a single word or phrase.

[Assistant] 4.5 days


[User]
a tiger is 50 of its own leaps behind a deer. the tiger takes 5 leaps per minutes to deer ’ s 4. if the tiger and the deer cover 8 m and 5 m per leap respectively, what distance will the tiger have to run before it catches the deer?
Answer the question using a single word or phrase.

[Assistant] 800 m

[User]
a man can row upstream at 25 kmph and downstream at 39 kmph, and then find the speed of the man in still water?
Answer the question using a single word or phrase.

[Assistant] 32

[User]
if the sum of two numbers is 60 and the h. c. f and l. c. m of these numbers are 3 and 120 respectively, then the sum of the reciprocal of the numbers is equal to :
Answer the question using a single word or phrase.

[Assistant] 1 / 6

[User]
last year department store x had a sales total for december that was 2 times the average ( arithmetic mean ) of the monthly sales totals for january through november. the sales total for december was what fraction of the sales total for the year?
Answer the question using a single word or phrase.

[Assistant] 2 / 13

[User]
a worker earns $ 24 on the first day and spends $ 18 on the second day. the worker earns $ 24 on the third day and spends $ 18 on the fourth day. if this pattern continues, on which day will the worker first reach a net total of $ 72?
Answer the question using a single word or phrase.

[Assistant] 17


[User]
in a class of students, 2 / 3 of the number of girls is equal to 1 / 5 of the total number of students. what is the ratio of boys to girls in the class?
Answer the question using a single word or phrase.

[Assistant] 7 / 3

[User]
jaya two digits age when appended with the two digits age of amitabh the 4 digits number formed is a perfect square. what is the the sum of the 4 digits no.?
Answer the question using a single word or phrase.

[Assistant] 7

[User]
pure milk costs 3.60 per litre. a milkman adds water to 25 litres of pure milk and sells the mixture at 3 per litre. how many litres of water does he add?
Answer the question using a single word or phrase.

[Assistant] 5 litres

[User]
machine a can process 6000 envelopes in 3 hours. machines b and c working together but independently can process the same number of envelopes in 2.5 hours. if machines a and c working together but independently process 3000 envelopes in 1 hour, then how many hours would it take machine b to process 12000 envelopes.
Answer the question using a single word or phrase.

[Assistant] 60 / 7

[User]
what is 2 4 / 3 - 3 1 / 4 divided by 2 / 3 - 1 / 6?
Answer the question using a single word or phrase.

[Assistant] 1 / 6


[User]
the avg weight of a, b & c is 84 kg. if d joins the group, the avg weight of the group becomes 80 kg. if another man e who weights is 6 kg more than d replaces a, then the avgof b, c, d & e becomes 79 kg. what is the weight of a?
Answer the question using a single word or phrase.

[Assistant] 78

[User]
the length of the bridge, which a train 160 metres long and travelling at 45 km / hr can cross in 30 seconds, is?
Answer the question using a single word or phrase.

[Assistant] 215

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

[Assistant] 14

[User]
pipe a can fill a tank in 6 hours. due to a leak at the bottom, it takes 9 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] 18

[User]
if x / y = 3 and ( 2 a - x ) / ( 5 b - y ) = 3, then the value of a / b is?
Answer the question using a single word or phrase.

[Assistant] 15 / 2


[User]
what could be the range of a set consisting of odd multiples of 7?
Answer the question using a single word or phrase.

[Assistant] 70

[User]
a man invests some money partly in 4 % stock at 48 and partly in 10 % stock at 110. to obtain equal dividends from both, he must invest the money in the ratio :
Answer the question using a single word or phrase.

[Assistant] 6 : 5

[User]
what least number must be added to 1096, so that the sum is completely divisible by 23?
Answer the question using a single word or phrase.

[Assistant] 8

[User]
the ratio of the amount of the oil bill for the month of february to the amount of the oil bill for the month of january was 5 : 4. if the oil bill for february had been $ 45 more, the corresponding ratio would have been 3 : 2. how much was the oil bill for january?
Answer the question using a single word or phrase.

[Assistant] $ 180

[User]
trains a and b start simultaneously from stations 450 miles apart, and travel the same route toward each other on adjacent parallel tracks. if train a and train b travel at a constant rate of 50 miles per hour and 50 miles per hour, respectively, how many miles will train a have traveled when the trains pass each other, to the nearest mile?
Answer the question using a single word or phrase.

[Assistant] 225


[User]
a theater box office sold an average ( arithmetic mean ) of 64 tickets per staff member to a particular movie. among the daytime staff, the average number sold per member was 80, and among the evening staff, the average number sold was 60. if there are no other employees, what was the ratio of the number of daytime staff members to the number of evening staff members?
Answer the question using a single word or phrase.

[Assistant] 1 : 4

[User]
12 welders work at a constant rate they complete an order in 3 days. if after the first day, 9 welders start to work on the other project, how many more days the remaining welders will need to complete the rest of the order?
Answer the question using a single word or phrase.

[Assistant] 8

[User]
a rectangular cube has sides measuring 15 inches long by 12 inches wide by 2 inches high. if the surface area of the rectangle is the same as a cube, what do the sides / walls of the cube measure? round to the nearest whole number.
Answer the question using a single word or phrase.

[Assistant] 9

[User]
what is the units digit of the solution to 177 ^ 28 − 133 ^ 23?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
a watch was sold at a loss of 10 %. if it was sold for rs. 140 more, there would have been a gain of 3 %. what is the cost price?
Answer the question using a single word or phrase.

[Assistant] 1077


[User]
nicky and cristina are running a 300 meter race. since cristina is faster than nicky, she gives him a 12 second head start. if cristina runs at a pace of 5 meters per second and nicky runs at a pace of only 3 meters per second, how many seconds will nicky have run before cristina catches up to him?
Answer the question using a single word or phrase.

[Assistant] 30

[User]
nd the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 13 cm?
Answer the question using a single word or phrase.

[Assistant] 247 cm 2

[User]
after decreasing 24 % in the price of an article costs rs. 760. find the actual cost of an article?
Answer the question using a single word or phrase.

[Assistant] 1000

[User]
the salaries of a and b together amount to $ 7000. a spends 95 % of his salary and b, 85 % of his. if now, their savings are the same, what is a's salary?
Answer the question using a single word or phrase.

[Assistant] $ 5250

[User]
what is the least number should be added to 1056, so the sum of the number is completely divisible by 28?
Answer the question using a single word or phrase.

[Assistant] 8


[User]
shopkeeper rise price by 34 % and gives successive discount of 10 % and 15 %. what is overall % gain or loss?
Answer the question using a single word or phrase.

[Assistant] 2.51 %

[User]
the sector of a circle has radius of 21 cm and central angle 45 o. find its perimeter?
Answer the question using a single word or phrase.

[Assistant] 58.5

[User]
excluding stoppages, the speed of a train is 55 kmph and including stoppages it is 30 kmph. of how many minutes does the train stop per hour?
Answer the question using a single word or phrase.

[Assistant] 27

[User]
find the average of all the numbers between 16 and 34 which are divisible by 5?
Answer the question using a single word or phrase.

[Assistant] 28

[User]
what is the square root of 261,121?
Answer the question using a single word or phrase.

[Assistant] 511


[User]
a man can row 10 kmph in still water. when the river is running at 1.2 kmph, it takes him 1 hour to row to a place and back. what is the total distance traveled by the man?
Answer the question using a single word or phrase.

[Assistant] 9.86 km

[User]
what is the tens digit of 36 ^ 10?
Answer the question using a single word or phrase.

[Assistant] 7

[User]
the ratio between x and y is 8 / 5 ; x and y are decreased by 5, what is the ratio between the new values of x and y?
Answer the question using a single word or phrase.

[Assistant] it can not be determined

[User]
# p is defined as 2 p + 20 for any number p. what is p, if # ( # ( # p ) ) = - 4?
Answer the question using a single word or phrase.

[Assistant] - 18

[User]
the average student age of a certain class which has 30 students is 10. if one student aged 11 go to another class and the age of the class teacher is included the average changes to 11. what is the age of class teacher?
Answer the question using a single word or phrase.

[Assistant] 41


[User]
find the number of divisors of 1728.?
Answer the question using a single word or phrase.

[Assistant] 28

[User]
the diagonals of two squares are in the ratio of 2 : 5 then find the ratio of its areas?
Answer the question using a single word or phrase.

[Assistant] 4 : 25

[User]
ifaequals the sum of the even integers from 2 to 60, inclusive, andbequals the sum of the odd integers from 1 to 59, inclusive, what is the value of a - b?
Answer the question using a single word or phrase.

[Assistant] 30

[User]
a, b and c have rs. 500 between them, a and c together have rs. 200 and b and c rs. 310. how much does c have?
Answer the question using a single word or phrase.

[Assistant] 10

[User]
a car takes 6 hours to cover a distance of 288 km. how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time?
Answer the question using a single word or phrase.

[Assistant] 32 kmph


[User]
of the total amount that jill spent on a shopping trip, excluding taxes, she spent 50 percent on clothing, 20 percent on food, and 30 percent on other items. if jill paid a 4 percent tax on the clothing, no tax on the food, and an 8 percent tax on all other items, then the total tax that she paid was what percent of the total amount that she spent, excluding taxes?
Answer the question using a single word or phrase.

[Assistant] 4.4 %

[User]
of the 200 employees in a certain company, 25 percent will be relocated to city x and the remaining 75 percent will be relocated to city y. however, 30 percent of the employees prefer city y and 70 percent prefer city x. what is the highest possible number of employees who will be relocated to the city they prefer?
Answer the question using a single word or phrase.

[Assistant] 110

[User]
united telephone charges a base rate of $ 8.00 for service, plus an additional charge of $ 0.25 per minute. atlantic call charges a base rate of $ 12.00 for service, plus an additional charge of $ 0.20 per minute. for what number of minutes would the bills for each telephone company be the same?
Answer the question using a single word or phrase.

[Assistant] 80 minutes

[User]
by weight, liquid x makes up 0.8 percent of solution a and 1.8 percent of solution b. if 600 grams of solution a are mixed with 700 grams of solution b, then liquid x accounts for what percent of the weight of the resulting solution?
Answer the question using a single word or phrase.

[Assistant] 1.74 %

[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. 12200 after a year?
Answer the question using a single word or phrase.

[Assistant] 3660


[User]
a contractor undertakes to do a job within 100 days and hires 10 people to do it. after 20 days, he realizes that one fourth of the work is done so he fires 2 people. in how many more days w will the work get over?
Answer the question using a single word or phrase.

[Assistant] w = 75

[User]
ravi can do a piece of work in 24 days while prakash can do it in 40 days. in how many days will they finish it together?
Answer the question using a single word or phrase.

[Assistant] 15

[User]
the tax on a commodity is diminished by 30 % but its consumption is increased by 20 %. find the decrease percent in the revenue derived from it?
Answer the question using a single word or phrase.

[Assistant] 16 %

[User]
when throwing 2 dices, and looking at the sum of numbers on the dices - what is the probability to have a sum which is smaller than 5?
Answer the question using a single word or phrase.

[Assistant] 1 / 6

[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 the son is :
Answer the question using a single word or phrase.

[Assistant] 22


[User]
a and b put in rs. 300 and rs. 500 respectively into a business. a reinvests into the business his share of the first year's profit of rs. 200 where as b does not. in what ratio should they divide the second year's profit?
Answer the question using a single word or phrase.

[Assistant] 15 : 16

[User]
if 42.18 = k ( 14 + m / 50 ), where k and m are positive integers and m < 50, then what is the value of k + m?
Answer the question using a single word or phrase.

[Assistant] 6

[User]
it takes joey the postman 1 hours to run a 5 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 8 mile / hour, what is the speed with which joey returns?
Answer the question using a single word or phrase.

[Assistant] 20

[User]
a ’ s speed is 20 / 16 times that of b. if a and b run a race, what part of the length of the race should a give b as a head start, so that the race ends in a dead heat?
Answer the question using a single word or phrase.

[Assistant] 4 / 20

[User]
for any integer k > 1, the term “ length of an integer ” refers to the number of positive prime factors, not necessarily distinct, whose product is equal to k. for example, if k = 24, the length of k is equal to 4, since 24 = 2 × 2 × 2 × 3. if x and y are positive integers such that x > 1, y > 1, and x + 3 y < 980, what is the maximum possible sum of the length of x and the length of y?
Answer the question using a single word or phrase.

[Assistant] 16


[User]
how long will a boy take to run round a square field of side 55 meters, if he runs at the rate of 9 km / hr?
Answer the question using a single word or phrase.

[Assistant] 88 sec

[User]
a contractor undertook to do a piece of work in 15 days. he employed certain number of laboures but 5 of them were absent from the very first day and the rest could finish the work in only 20 days. find the number of men originally employed?
Answer the question using a single word or phrase.

[Assistant] 20

[User]
the temperature of a certain cup of coffee 2 minutes after it was poured was 120 degrees fahrenheit. if the temperature f of the coffee t minutes after it was poured can be determined by the formula f = 120 * 2 ^ ( - at ) + 60, where f is in degrees fahrenheit and a is a constant. then the temperature of the coffee 30 minutes after it was poured was how many degrees fahrenheit?
Answer the question using a single word or phrase.

[Assistant] 60.003662

[User]
10 % of ( 50 % of $ 500 ) is?
Answer the question using a single word or phrase.

[Assistant] $ 25

[User]
a chemical supply company has 60 liters of a 20 % hno 3 solution. how many liters of pure undiluted hno 3 must the chemists add so that the resultant solution is a 50 % solution?
Answer the question using a single word or phrase.

[Assistant] 36


[User]
a can finish a piece of work in 5 days. b can do it in 25 days. they work together for four days and then a goes away. in how many days will b finish the work?
Answer the question using a single word or phrase.

[Assistant] 1 day

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

[Assistant] 4 days

[User]
if p is a prime number greater than 3, find the remainder when p ^ 2 + 13 is divided by 12.
Answer the question using a single word or phrase.

[Assistant] 2

[User]
yesterday's closing prices of 2,640 different stocks listed on a certain stock exchange were all different from today's closing prices. the number of stocks that closed at a higher price today than yesterday was 20 percent greater than the number that closed at a lower price. how many of the stocks closed at a higher price today than yesterday?
Answer the question using a single word or phrase.

[Assistant] 1,440

[User]
a bag consists of 20 marbles, of which 6 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] 7 / 10


[User]
suppose 12 monkeys take 12 minutes to eat 12 bananas. how many monkeys would it take to eat 72 bananas in 72 minutes?
Answer the question using a single word or phrase.

[Assistant] 12

[User]
a farmer with 1,350 acres of land had planted his fields with corn, sugar cane, and tobacco in the ratio of 5 : 2 : 2, respectively, but he wanted to make more money, so he shifted the ratio to 2 : 2 : 5, respectively. how many more acres of land were planted with tobacco under the new system?
Answer the question using a single word or phrase.

[Assistant] 450

[User]
the ratio of ages of aman, bren, and charlie are in the ratio 5 : 8 : 7 respectively. if 8 years ago, the sum of their ages was 76, what will be the age of charlie 9 years from now?
Answer the question using a single word or phrase.

[Assistant] 44

[User]
the grade point average of the entire class is 87. if the average of one third of the class is 95, what is the average of the rest of the class?
Answer the question using a single word or phrase.

[Assistant] 83

[User]
an equilateral triangle t 2 is formed by joining the mid points of the sides of another equilateral triangle t 1. a third equilateral triangle t 3 is formed by joining the mid - points of t 2 and this process is continued indefinitely. if each side of t 1 is 30 cm, find the sum of the perimeters of all the triangles.
Answer the question using a single word or phrase.

[Assistant] 180 cm


[User]
john and amanda stand at opposite ends of a straight road and start running towards each other at the same moment. their rates are randomly selected in advance so that john runs at a constant rate of 2, 3, 4, 5, or 6 miles per hour and amanda runs at a constant rate of 3, 4, 5, 6, or 7 miles per hour. what is the probability that john has traveled farther than amanda by the time they meet?
Answer the question using a single word or phrase.

[Assistant] 6 / 25

[User]
the sum of four consecutive even numbers is 292. what would be the largest number?
Answer the question using a single word or phrase.

[Assistant] 76

[User]
on dividing 127 by a number, the quotient is 5 and the remainder is 2. find the divisor.
Answer the question using a single word or phrase.

[Assistant] 25

[User]
two pipes a and b can separately fill a cistern in 80 minutes and 160 minutes respectively. there is a third pipe in the bottom of the cistern to empty it. if all the three pipes are simultaneously opened, then the cistern is full in 40 minutes. in how much time, the third pipe alone can empty the cistern?
Answer the question using a single word or phrase.

[Assistant] 160 min

[User]
if 15 students in a class average 70 % on an exam and 10 students average 95 % on the same exam, what is the average in percent for all 25 students?
Answer the question using a single word or phrase.

[Assistant] 80 %


[User]
a reduction of 30 % in the price of oil enables a house wife to obtain 9 kgs more for rs. 1800, what is the reduced price for kg?
Answer the question using a single word or phrase.

[Assistant] rs. 60

[User]
a train passes a man standing on a platform in 8 seconds and also crosses the platform which is 273 metres long in 20 seconds. the length of the train ( in metres ) is :
Answer the question using a single word or phrase.

[Assistant] 182

[User]
a certain manufacturer produces items for which the production costs consist of annual fixed costs totaling $ 130000 and variables costs averaging $ 10 per item. if the manufacturer ’ s selling price per item is $ 15, how many items the manufacturer produce and sell to earn an annual profit of $ 150000?
Answer the question using a single word or phrase.

[Assistant] 56,000

[User]
robert is travelling on his cycle and has calculated to reach point a at 2 p. m. if he travels at 10 km / hr ; he will reach there at 12 noon if he travels at 15 km / hr. at what speed must he travel to reach a at 1 p. m.?
Answer the question using a single word or phrase.

[Assistant] 12 kmph

[User]
seed mixture x is 40 percent ryegrass and 60 percent bluegrass by weight ; seed mixture y is 25 percent ryegrass and 75 percent fescue. if a mixture of x and y contains 32 percent ryegrass, what percent of the weight of this mixture is x?
Answer the question using a single word or phrase.

[Assistant] 46.66 %


[User]
during 2003, a company produced an average of 2000 products per month. how many products will the company need to produce from 2004 through 2007 in order to increase its monthly average for the period from 2003 through 2007 by 150 % over its 2003 average?
Answer the question using a single word or phrase.

[Assistant] 284,000

[User]
in how many ways can a 5 - letter password be chosen, using the letters a, b, c, d, e, f, g, and / or h such that at least one letter is repeated within the password?
Answer the question using a single word or phrase.

[Assistant] 26048

[User]
how many seconds will a 700 metre long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr?
Answer the question using a single word or phrase.

[Assistant] 42

[User]
a man walking at a constant rate of 5 miles per hour is passed by a woman traveling in the same direction along the same path at a constant rate of 15 miles per hour. the woman stops to wait for the man 2 minutes after passing him, while the man continues to walk at his constant rate. how many minutes must the woman wait until the man catches up?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
a certain galaxy is known to comprise approximately 2 x 10 ^ 11 stars. of every 50 million of these stars, one is larger in mass than our sun. approximately how many stars in this galaxy are larger than the sun?
Answer the question using a single word or phrase.

[Assistant] 4,000


[User]
a side of beef lost 35 percent of its weight in processing. if the side of beef weighed 550 pounds after processing, how many pounds did it weigh before processing?
Answer the question using a single word or phrase.

[Assistant] 846

[User]
right triangle abc is to be drawn in the xy - plane so that the right angle is at a and ab is parallel to the y - axis. if the x - and y - coordinates of a, b, and c are to be integers that are consistent with the inequalities - 5 ≤ x ≤ 2 and 4 ≤ y ≤ 9, then how many different triangles can be drawn that will meet these conditions?
Answer the question using a single word or phrase.

[Assistant] 1440

[User]
the triplicate ratio of 1 : 8 is?
Answer the question using a single word or phrase.

[Assistant] 1 : 512

[User]
find the greatest number which on dividing 4351 and 5161, leaves a reminder of 8 and 10 respectively
Answer the question using a single word or phrase.

[Assistant] 101

[User]
a jar contains only red, yellow, and orange marbles. if there are 1 red, 5 yellow, and 4 orange marbles, and 3 marbles are chosen from the jar at random without replacing any of them, what is the probability that 2 yellow, 1 red, and no orange marbles will be chosen?
Answer the question using a single word or phrase.

[Assistant] 1 / 45


[User]
a scale 6 ft. 8 inches long is divided into 4 equal parts. find the length of each part.
Answer the question using a single word or phrase.

[Assistant] 20 inches

[User]
if w is the set of all the integers between 59 and 99, inclusive, that are either multiples of 3 or multiples of 2 or multiples of both, then w contains how many numbers?
Answer the question using a single word or phrase.

[Assistant] 27

[User]
find the value of a / b + b / a, if a and b are the roots of the quadratic equation x 2 + 4 x + 2 = 0?
Answer the question using a single word or phrase.

[Assistant] 2

[User]
what least no. must be subtracted from 50248 so that remaining no. is divisible by 20?
Answer the question using a single word or phrase.

[Assistant] 8

[User]
find the area of a parallelogram with base 32 cm and height 15 cm.
Answer the question using a single word or phrase.

[Assistant] 480


[User]
the radius of a cylinder is 10 m, height 14 m. the volume of the cylinder is :
Answer the question using a single word or phrase.

[Assistant] 4400

[User]
at what price must an article costing rs. 47.50 be marked in order that after deducting 5 % from the list price. it may be sold at a profit of 30 % on the cost price?
Answer the question using a single word or phrase.

[Assistant] 65

[User]
income and expenditure of a person are in the ratio 5 : 3. if the income of the person is rs. 10000, then find his savings?
Answer the question using a single word or phrase.

[Assistant] rs. 4000

[User]
in 50 l can, milk and water in the ratio of 3 : 1. if the ratio has made 1 : 3 then the quantity of water that has to be added further is?
Answer the question using a single word or phrase.

[Assistant] 100

[User]
find the sum of all 4 digit numbers formed using digits 1,2, 5,6.
Answer the question using a single word or phrase.

[Assistant] 93324


[User]
if 3 people can do 3 times of a particular work in 3 days, then how many days would it take 6 people to do 6 times of that particular work?
Answer the question using a single word or phrase.

[Assistant] 3

[User]
if 4 xz + yw = 7 and xw + yz = 14, what is the value of the expression ( 2 x + y ) ( 2 z + w )?
Answer the question using a single word or phrase.

[Assistant] 35.

[User]
a, b, k start from the same place and travel in the same direction at speeds of 30 km / hr, 40 km / hr, 120 km / hr respectively. b starts two hours after a. if b and k overtake a at the same instant, how many hours after a did k start?
Answer the question using a single word or phrase.

[Assistant] 6

[User]
a river 3 m deep and 55 m wide is flowing at the rate of 1 kmph the amount of water that runs into the sea per minute is?
Answer the question using a single word or phrase.

[Assistant] 2748.9

[User]
in x - y plane, there is a right triangle abc ( ∠ b = 90 o ). if the length of ac is 100 and the slope of line segment ac is 4 / 3, what is the length of ab?
Answer the question using a single word or phrase.

[Assistant] 80


[User]
what is the remainder when 14,451 × 15,651 × 16,788 is divided by 5?
Answer the question using a single word or phrase.

[Assistant] 3

[User]
a dishonest dealer professes to sell goods at the cost price but uses a weight of 850 grams per kg, what is his percent?
Answer the question using a single word or phrase.

[Assistant] 17 %

[User]
a bag contains 7 red, 9 blue and 5 green balls. if 3 balls are picked at random, what is the probability that both are red?
Answer the question using a single word or phrase.

[Assistant] 1 / 38

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

[Assistant] 17.5

[User]
hammers and wrenches are manufactured at a uniform weight per hammer and a uniform weight per wrench. if the total weight of two hammers and three wrenches is one - third that of 8 hammers and 4 wrenches, then the total weight of one wrench is how many times that of one hammer?
Answer the question using a single word or phrase.

[Assistant] 2 / 5


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

[Assistant] 2.4 km

[User]
in a certain school, the ratio of boys to girls is 5 to 13. if there are 80 more girls than boys, how many boys are there?
Answer the question using a single word or phrase.

[Assistant] 50

[User]
a reduction in the price of petrol by 10 % enables a motorist to buy 5 gallons more for $ 300. find the original price of petrol?
Answer the question using a single word or phrase.

[Assistant] $ 6.6

[User]
it costs a publishing company 50000 dollars to make books. the 50000 is a fixed cost or a cost that can not change. to help the publishing company sell the books, a marketing company charges 4 dollars for each book sold. if the company charges 9 dollars per book, how many books should they sell to break even?
Answer the question using a single word or phrase.

[Assistant] 10000

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

[Assistant] 84 %


[User]
sam invested rs. 6000 @ 10 % per annum for one year. if the interest is compounded half - yearly, then the amount received by sam at the end of the year will be?
Answer the question using a single word or phrase.

[Assistant] 6615.0

[User]
30 men can do a work in 40 days. when should 20 men leave the work so that the entire work is completed in 40 days after they leave the work?
Answer the question using a single word or phrase.

[Assistant] 10 days

[User]
find the area of the quadrilateral of one of its diagonals is 50 cm and its off sets 10 cm and 8 cm?
Answer the question using a single word or phrase.

[Assistant] 450 cm 2

[User]
for any real number x, the operatoris defined as : ( x ) = x ( 2 − x ) if p + 1 = ( p + 1 ), then p =
Answer the question using a single word or phrase.

[Assistant] 1

[User]
sachin borrows rs. 5000 for 2 years at 4 % p. a. simple interest. he immediately lends money to rahul at 25 / 4 % p. a. for 2 years. find the gain of one year by sachin.
Answer the question using a single word or phrase.

[Assistant] 112.5


[User]
a work which could be finished in 11 days was finished 3 days earlier after 10 more men joined. the number of men employed was?
Answer the question using a single word or phrase.

[Assistant] 12

[User]
the ratio of numbers is 3 : 4 and their h. c. f is 5. their l. c. m is :
Answer the question using a single word or phrase.

[Assistant] 60

[User]
if the average ( arithmetic mean ) of a and b is 50 and the average of b and c is 70, what is the value of c − a?
Answer the question using a single word or phrase.

[Assistant] 40

[User]
a invested $ 15000 in a business after 6 months b invested $ 18000 in the business. end of the year if they got $ 16000 as profit. find b shares?
Answer the question using a single word or phrase.

[Assistant] $ 6000

[User]
if 85 percent of the test takers taking an old paper and pencil gmat exam answered the first question on a given math section correctly, and 70 percent of the test takers answered the second question correctly, and 5 percent of the test takers answered neither question correctly, what percent answered both correctly?
Answer the question using a single word or phrase.

[Assistant] 60 %


[User]
what is the area of a square field whose diagonal of length 22 m?
Answer the question using a single word or phrase.

[Assistant] 220 sq m

[User]
if p ( a ) = 0.18, p ( b ) = 0.5 and p ( b | a ) = 0.2, find p ( a n b )?
Answer the question using a single word or phrase.

[Assistant] 0.36

[User]
an error 1 % in excess is made while measuring the side of a square. what is the percentage of error in the calculated area of the square?
Answer the question using a single word or phrase.

[Assistant] 2.01 %

[User]
a survey of n people in the town of eros found that 50 % of them preferred brand a. another surveyof 100 people in the town of angie found that 60 % preferred brand a. in total, 55 % of all the people surveyed together preferred brand a. what is the total number of people surveyed?
Answer the question using a single word or phrase.

[Assistant] 200

[User]
325.124 x 12.98 ã · 3.001 + 21.21 =?
Answer the question using a single word or phrase.

[Assistant] 1430.08


[User]
the price of a book is increased from $ 300 to $ 450. what is the % of increase in its price?
Answer the question using a single word or phrase.

[Assistant] 50 %

[User]
a man can row downstream at 26 kmph and upstream at 22 kmph. find the speed of the man in still water and the speed of stream respectively?
Answer the question using a single word or phrase.

[Assistant] 24, 2

[User]
a train is walking at 6 / 7 of its usual speed, the train is 20 minutes too late. find its usual time to cover the journey.
Answer the question using a single word or phrase.

[Assistant] 2 hours

[User]
what is the sum of all remainders obtained when the first 110 natural numbers are divided by 9?
Answer the question using a single word or phrase.

[Assistant] 403

[User]
by how much is 30 % of 80 greater than 4 / 5 th of 25?
Answer the question using a single word or phrase.

[Assistant] 4


[User]
there are 4 people of different heights standing in order of increasing height. the difference is 2 inches between the first person and the second person, and also between the second person and the third person. the difference between the third person and the fourth person is 6 inches and the average height is 77. how tall is the fourth person?
Answer the question using a single word or phrase.

[Assistant] 83

[User]
t = { 2, 3, 4, 5 } b = { 4, 5, 6, 7, 8 } two integers will be randomly selected from the sets above, one integer from set t and one integer from set b. what is the probability that the sum of the two integers will equal 9?
Answer the question using a single word or phrase.

[Assistant] 0.20

[User]
a man whose speed is 7 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?
Answer the question using a single word or phrase.

[Assistant] 6.7

[User]
a sum was put at simple interest at a certain rate for 3 years. had it been put at 2 % higher rate, it would have fetched rs. 360 more. find the sum.
Answer the question using a single word or phrase.

[Assistant] 6000

[User]
30 ^ 10 / 210 ^ 5 =?
Answer the question using a single word or phrase.

[Assistant] ( 30 / 7 ) ^ 5


[User]
on selling 17 balls at rs. 720, there is a loss equal to the cost price of 5 balls. the cost price of a ball is
Answer the question using a single word or phrase.

[Assistant] 60

[User]
the ratio between the perimeter and the width of a rectangle is 5 : 1. if the area of the rectangle is 384 square centimeters, what is the length of the rectangle in centimeters?
Answer the question using a single word or phrase.

[Assistant] 24

[User]
a hat company ships its hats, individually wrapped, in 8 - inch by 10 - inch by 12 - inch boxes. each hat is valued at $ 5.0. if the company ’ s latest order required a truck with at least 288,000 cubic inches of storage space in which to ship the hats in their boxes, what was the minimum value of the order?
Answer the question using a single word or phrase.

[Assistant] $ 1,500

[User]
ramesh purchased a refrigerator for rs. 12500 after getting a discount of 20 % on the labelled price. he spent rs. 125 on transport and rs. 250 on installation. at what price should it be sold so that the profit earned would be 10 % if no discount was offered?
Answer the question using a single word or phrase.

[Assistant] 17600

[User]
9873 + x = 13200, then x is?
Answer the question using a single word or phrase.

[Assistant] 3327


[User]
a library has an average of 510 visitors on sundays and 240 on other day. the average number of visitors in a month of 5 days starting with sunday is
Answer the question using a single word or phrase.

[Assistant] 1710

[User]
in an election, candidate a got 70 % 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 favor of candidate?
Answer the question using a single word or phrase.

[Assistant] 333200

[User]
a telephone company needs to create a set of 3 - digit area codes. the company is entitled to use only digits 2, 4 and 5, which can be repeated. if the product of the digits in the area code must be odd, how many different codes can be created?
Answer the question using a single word or phrase.

[Assistant] 1

[User]
if a * b denotes the greatest common divisor of a and b, then ( ( 12 * 16 ) * ( 30 * 24 ) ) =?
Answer the question using a single word or phrase.

[Assistant] 2

[User]
a certain number of horses and an equal number of men are going somewhere. half of the owners are on their horses'back while the remaining ones are walking along leading their horses. if the number of legs walking on the ground is 60, how many horses are there?
Answer the question using a single word or phrase.

[Assistant] 12


[User]
in a certain parking lot, 2 % of the cars are towed for parking illegally. however 90 % of the cars which are parked illegally are not towed. what percentage of cars in the parking lot are parked illegally?
Answer the question using a single word or phrase.

[Assistant] 20 %

[User]
a certain sky blue paint contains 10 percent blue pigment and 90 percent red pigment by weight. a certain green paint contains 70 percent blue pigment and 30 percent yellow pigment. when these paints are mixed to produce a brown paint, the brown paint contains 40 percent blue pigment. if the brown paint weighs 10 grams, then the red pigment contributes how many grams of that weight?
Answer the question using a single word or phrase.

[Assistant] 4.5

[User]
alok ordered 16 chapatis, 5 plates of rice, 7 plates of mixed vegetable and 6 ice - cream cups. the cost of each chapati is rs. 6, that of each plate of rice is rs. 45 and that of mixed vegetable is rs. 70. the amount that alok paid the cashier was rs. 985. find the cost of each ice - cream cup?
Answer the question using a single word or phrase.

[Assistant] 29

[User]
excluding stoppages, the speed of a bus is 65 kmph and including stoppages, it is 48 kmph. for how many minutes does the bus stop per hour?
Answer the question using a single word or phrase.

[Assistant] 15.6 min

[User]
a and b ’ s salaries together amount to rs. 2,000. a spends 95 % of his salary and b spends 85 % of his. if now their savings are the same, what is b ’ s salary?
Answer the question using a single word or phrase.

[Assistant] 500


[User]
the inner circumference of a circular race track, 14 m wide is 440 m. find the radius of the outer circle.
Answer the question using a single word or phrase.

[Assistant] 84

[User]
the length of the rectangular field is double its width. inside the field there is square shaped pond 8 m long. if the area of the pond is 1 / 8 of the area of the field. what is the length of the field?
Answer the question using a single word or phrase.

[Assistant] 32

[User]
two goods train each 500 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] 24 sec

[User]
the age of somu is one - third his father's. 5 years back he was one - fifth of his father's age. what is his persent age?
Answer the question using a single word or phrase.

[Assistant] 10

[User]
a charitable association sold an average of 66 raffle tickets per member. among the female members, the average was 70 raffle tickets. the male to female ratio of the association is 1 : 2. what was the average number w of tickets sold by the male members of the association
Answer the question using a single word or phrase.

[Assistant] 58


[User]
the maximum number of students among them 1001 pens and 910 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] 91

[User]
how many even integers n, such that 20 < = n < = 250 are of the form 3 k + 4, where k is any natural number?
Answer the question using a single word or phrase.

[Assistant] 39

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

[Assistant] $ 90

[User]
a fruit - salad mixture consists of apples, peaches, and grapes in the ratio 12 : 8 : 7, respectively, by weight. if 54 pounds of the mixture is prepared, the mixture includes how many more pounds of apples than grapes?
Answer the question using a single word or phrase.

[Assistant] 10

[User]
of the six - digit positive integers that have no digits equal to zero, how many have two digits that are equal to each other and the remaining digit different from the other two?
Answer the question using a single word or phrase.

[Assistant] 5443200


[User]
in a can, there is a mixture of milk and water in the ratio 2 : 5. if it is filled with an additional 8 litres of milk the can would be full and ratio of milk and water would become 4 : 5. find the capacity of the can?
Answer the question using a single word or phrase.

[Assistant] 8

[User]
90 % of the population of a village is 45000. the total population of the village is?
Answer the question using a single word or phrase.

[Assistant] 50000

[User]
total 52 matches are conducted in knockout match type. how many players will be participated in that tournament?
Answer the question using a single word or phrase.

[Assistant] 51

[User]
the ratio between the number of sheep and the number of horses at the stewart farm is 1 to 7, if each horse is fed 230 ounces of horse food per day and the farm needs a total 12,880 ounces of horse food per day, what is the number of sheep in the farm?
Answer the question using a single word or phrase.

[Assistant] 8

[User]
there are 12 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] 66


[User]
1 / 3 + 1 / 2 - 5 / 6 + 1 / 5 + 1 / 4 - 9 / 20 - 2 / 15 =
Answer the question using a single word or phrase.

[Assistant] 2 / 15

[User]
a river 2 m deep and 45 m wide is flowing at the rate of 3 kmph the amount of water that runs into the sea per minute is?
Answer the question using a single word or phrase.

[Assistant] 4500

[User]
in a coconut grove, ( x + 2 ) trees yield 60 nuts per year, x trees yield 120 nuts per year and ( x – 2 ) trees yield 180 nuts per year. if the average yield per year per tree be 100, find x.
Answer the question using a single word or phrase.

[Assistant] 7

[User]
tourist purchased a total of 30 travelers checks in $ 50 and $ 100 denominations. the total worth of the travelers checks is $ 1800. how many checks of $ 50 denominations can he spend so that average amount ( arithmetic mean ) of the remaining travelers checks is $ 70?
Answer the question using a single word or phrase.

[Assistant] 15

[User]
in a graduating class, 40 percent of the students are male. in this class, 50 percent of the male students and 40 percent of the female students are 25 years old or older. if one student in the class is randomly selected, approximately what is the probability that he or she will be less than 25 years old?
Answer the question using a single word or phrase.

[Assistant] 0.56


[User]
a boat can travel with a speed of 13 km / hr in still water. if the speed of the stream is 4 km / hr, find the time taken by the boat to go 68 km downstream.
Answer the question using a single word or phrase.

[Assistant] 4

[User]
the events a and b are independent, the probability that event a occurs is greater than 0, and the probability that event a occurs is twice the probability that event b occurs. the probability that at least one of events a and b occurs is 5 times the probability that both events a and b occur. what is the probability that event a occurs?
Answer the question using a single word or phrase.

[Assistant] 1 / 2

[User]
a, b, and c are integers and a < b < c. s is the set of all integers from a to b, inclusive. q is the set of all integers from b to c, inclusive. the median of set s is ( 3 / 4 ) * b. the median of set q is ( 7.5 / 8 ) * c. if r is the set of all integers from a to c, inclusive, what fraction of c is the median of set r?
Answer the question using a single word or phrase.

[Assistant] 23 / 32

[User]
barbata invests $ 1400 in the national bank at 5 %. 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] 700

[User]
a person has 12004 coins of silver. how much would he need to add so that he can distribute equally among his 7 children in whole numbers?
Answer the question using a single word or phrase.

[Assistant] 1 coin


[User]
a cistern 7 m long and 4 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] 55.5 m 2

[User]
a man purchased 3 blankets @ rs. 100 each, 5 blankets @ rs. 150 each and two blankets at a certain rate which is now slipped off from his memory. but he remembers that the average price of the blankets was rs. 162. find the unknown rate of two blankets?
Answer the question using a single word or phrase.

[Assistant] 570

[User]
a and b can together finish a work in 40 days. they worked together for 10 days and then b left. after another 12 days, a finished the remaining work. in how many days a alone can finish the job?
Answer the question using a single word or phrase.

[Assistant] 16

[User]
the sale price of an article including the sales tax is rs. 616. the rate of sales tax is 10 %. if the shopkeeper has made a profit of 20 %, then the cost price of the article is :
Answer the question using a single word or phrase.

[Assistant] 466.7

[User]
the l. c. m of two numbers is 48. the numbers are in the ratio 1 : 4. the sum of numbers is :
Answer the question using a single word or phrase.

[Assistant] 60


[User]
a candidate got 33 % of the votes polled and he lost to his rival by 833 votes. how many votes were cast?
Answer the question using a single word or phrase.

[Assistant] 2450

[User]
calculate the effect changes in dimension of a rectangle will have on its area, if length is increased by 18 % and its breadth is decreased by 16 %?
Answer the question using a single word or phrase.

[Assistant] 0.88 % decrease

[User]
a boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. how long will it take to go 6 km in stationary water?
Answer the question using a single word or phrase.

[Assistant] 1 hour 30 min

[User]
jane makes toy bears. when she works with an assistant, she makes 71 percent more bears per week and works 10 percent fewer hours each week. having an assistant increases jane ’ s output of toy bears per hour by what percent?
Answer the question using a single word or phrase.

[Assistant] 90 %

[User]
a train 120 meters long completely crosses a 480 meters long bridge in 55 seconds. what is the speed of the train is?
Answer the question using a single word or phrase.

[Assistant] 39


[User]
the length of the bridge, which a train 170 metres long and travelling at 45 km / hr can cross in 30 seconds, is :
Answer the question using a single word or phrase.

[Assistant] 205

[User]
employees of a certain company are each to receive a unique 6 - digit identification code consisting of the digits 0, 1, 2, 3, 4, and 5 such that no digit is used more than once in any given code. in valid codes, the second digit in the code is exactly twice the first digit. how many valid codes are there?
Answer the question using a single word or phrase.

[Assistant] 48

[User]
the diagonals of a rhombus are 22 cm and 30 cm. find its area?
Answer the question using a single word or phrase.

[Assistant] 330

[User]
in an examination, a pupil ’ s average marks were 63 per paper. if he had obtained 20 more marks for his geography paper and 2 more marks for his history paper, his average per paper would have been 65. how many papers were there in the examination?
Answer the question using a single word or phrase.

[Assistant] 11

[User]
if 15 % of 40 is greater than 25 % of a number by 2, then find the number is?
Answer the question using a single word or phrase.

[Assistant] 16


[User]
the class mean score on a test was 80, and the standard deviation was 15. if jack's score was within 2 standard deviations of the mean, what is the lowest score he could have received?
Answer the question using a single word or phrase.

[Assistant] 50

[User]
the average age of applicants for a new job is 32, with a standard deviation of 8. the hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age. assuming that all applicants'ages are integers and that the endpoints of the range are included, what is the maximum number of different ages of the applicants?
Answer the question using a single word or phrase.

[Assistant] 7

[User]
two numbers are in the ratio 3 : 5. if 9 be subtracted from each, they are in the ratio of 9 : 17. the first number is :
Answer the question using a single word or phrase.

[Assistant] 36

[User]
in a kilometer race, a beats b by 48 meters or 6 seconds. what time does a take to complete the race?
Answer the question using a single word or phrase.

[Assistant] 119

[User]
a shopkeeper sells 20 % of his stock at 10 % profit ans sells the remaining at a loss of 5 %. he incurred an overall loss of rs. 200. find the total worth of the stock?
Answer the question using a single word or phrase.

[Assistant] 10000


[User]
the average weight of 10 person's increases by 5 kg when a new person comes in place of one of them weighing 60 kg. what is the weight of the new person?
Answer the question using a single word or phrase.

[Assistant] 110

[User]
the speed at which a man can row a boat in still water is 15 kmph. if he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres?
Answer the question using a single word or phrase.

[Assistant] 12 seconds

[User]
solution a is 10 % salt and solution b is 80 % salt. if you have 30 ounces of solution a and 60 ounces of solution b, in what ratio could you mix solution a with solution b to produce 50 ounces of a 50 % salt solution?
Answer the question using a single word or phrase.

[Assistant] 3 : 4

[User]
at what price must an article costing rs. 47.50 be marked in order that after deducting 12 % 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] 67.5

[User]
if p ( a ) = 2 / 15, p ( b ) = 4 / 15, and p ( a â ˆ ª b ) = 6 / 15 find p ( b | a )
Answer the question using a single word or phrase.

[Assistant] 3


[User]
if x + y = 9 and x – y = 3, then x ^ 2 - y ^ 2 =
Answer the question using a single word or phrase.

[Assistant] 27

[User]
in a primary school, the ratio of the number of girls to boys is 5 : 8. if there are 160 girls, the total number of students in the college is :
Answer the question using a single word or phrase.

[Assistant] 300

[User]
a confectioner decides to sell all of his pastry due to the coming holiday. his pastry goods are equally divided among a group of 35 regular customers. if only 49 customers come to the bakery, each one will receive 6 less pastry goods. how much pastry does the confectioner needs to sell?
Answer the question using a single word or phrase.

[Assistant] 525.

[User]
( 74 + 75 + 76 + 77 +..... + 149 + 150 ) =?
Answer the question using a single word or phrase.

[Assistant] 8624

[User]
an item is being sold for $ 10 each. however, if a customer will “ buy at least 3 ” they have a promo discount of 17 %. also, if a customer will “ buy at least 10 ” items they will deduct an additional 8 % to their “ buy at least 3 ” promo price. if sam buys 10 pcs of that item how much should he pay?
Answer the question using a single word or phrase.

[Assistant] $ 75.00


[User]
a leak in the bottom of a tank can empty the full tank in 6 hours. an inlet pipe fills water at the rate of 3 liters per minute. when the tank is full in inlet is opened and due to the leak the tank is empties in 8 hours. the capacity of the tank is?
Answer the question using a single word or phrase.

[Assistant] 4320

[User]
a feed store sells two varieties of birdseed : brand a, which is 65 % millet and 35 % sunflower, and brand b, which is 40 % millet and 60 % safflower. if a customer purchases a mix of the two types of birdseed that is 50 % millet, what percent of the mix is brand a?
Answer the question using a single word or phrase.

[Assistant] 40 %

[User]
of 60 children, 30 are happy, 10 are sad, and 20 are neither happy nor sad. there are 16 boys and 44 girls. if there are 6 happy boys and 4 sad girls, how many boys are neither happy nor sad?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
pipe p can drain the liquid from a tank in 1 / 4 the time that it takes pipe q to drain it and in 2 / 3 the time that it takes pipe r to do it. if all 3 pipes operating simultaneously but independently are used to drain liquid from the tank, then pipe q drains what portion of the liquid from the tank?
Answer the question using a single word or phrase.

[Assistant] 3 / 23

[User]
a box contains 10 apples, 9 of which are red. an apple is drawn from the box and its color is noted before it is eaten. this is done a total of n times, and the probability that a red apple is drawn each time is less than 0.5. what is the smallest possible value of n?
Answer the question using a single word or phrase.

[Assistant] 6


[User]
the water level in a rectangular swimming pool measuring 60 feet by 10 feet is to be lowered by 6 inches. how many gallons of water must be removed? ( 1 cu ft = 7.5 gallons )
Answer the question using a single word or phrase.

[Assistant] 2250

[User]
a leak in the bottom of a tank can empty the tank in 6 hrs. an pipe fills water atthe rate of 4 ltrs / min. when the tank is full in inlet is opened and due to the leak the tank is empties in 8 hrs. the capacity of the tank is?
Answer the question using a single word or phrase.

[Assistant] 5760

[User]
what is the least number of squares tiles required to pave the floor of a room 2 m 25 cm long and 1 m 35 cm broad?
Answer the question using a single word or phrase.

[Assistant] 15

[User]
7 people average age is 30. youngest person age is 8. find average of the people when youngest was born.
Answer the question using a single word or phrase.

[Assistant] 22

[User]
24 people can write 48 book in 6 days working 8 hour a day. then in how many day 192 can be written by 50 people?
Answer the question using a single word or phrase.

[Assistant] 288 / 25


[User]
john makes $ 60 a week from his job. he earns a raise andnow makes $ 75 a week. what is the % increase?
Answer the question using a single word or phrase.

[Assistant] 25 %

[User]
at a supermarket, john spent 1 / 2 of his money on fresh fruits and vegetables, 1 / 3 on meat products, and 1 / 10 on bakery products. if he spent the remaining $ 5 on candy, how much did john spend at the supermarket?
Answer the question using a single word or phrase.

[Assistant] $ 75

[User]
a bus started its journey from chennai and reached mumbai in 50 min with its average speed of 60 km / hr. if the average speed of the bus is increased by 6 km / hr, how much time will it take to cover the same distance?
Answer the question using a single word or phrase.

[Assistant] 55 min.

[User]
two goods trains each 500 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] 48 sec

[User]
the ratio between the present ages of a and b is 4.5 : 3 respectively. the ratio between a's age 4 years ago and b's age 4 years hence is 1 : 1. what is the ratio between a's age 4 years hence and b's age 4 years ago?
Answer the question using a single word or phrase.

[Assistant] 7 : 3


[User]
the average weight of a, b and c is 46 kg. if the average weight of a and b be 40 kg and that of b and c be 43 kg, then the weight of b is :
Answer the question using a single word or phrase.

[Assistant] 22 kg

[User]
the rate of spin of a certain gyroscope doubled every 10 seconds from the moment a particular stopwatch started. if after a minute and a half the gyroscope reached a speed of 6400 meters per second, what was the speed, in meters per second, when the stopwatch was started?
Answer the question using a single word or phrase.

[Assistant] 25 / 2

[User]
if two integers x, y ( x > y ) are selected from - 5 to 6 ( inclusive ), how many cases are there?
Answer the question using a single word or phrase.

[Assistant] 66

[User]
what is the remainder when 2 ^ 20 is divided by 10?
Answer the question using a single word or phrase.

[Assistant] 6

[User]
what will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is rs. 56?
Answer the question using a single word or phrase.

[Assistant] s. 3808


[User]
the average weight of a group of boys is 20 kg. after a boy of weight 34 kg joins the group, the average weight of the group goes up by 1 kg. find the number of boys in the group originally?
Answer the question using a single word or phrase.

[Assistant] 13

[User]
in a certain school, 20 % of students are below 8 years of age. the number of students above 8 years of age is 2 / 3 of the number of students of 8 years of age which is 12. what is the total number of students in the school?
Answer the question using a single word or phrase.

[Assistant] 25

[User]
if w is a positive integer and 10 ^ w – 74 in decimal notation has digits whose sum is 440, what is the value of w?
Answer the question using a single word or phrase.

[Assistant] 50

[User]
the average age of 30 students of a class is 20 years. out of these, the average age of 10 students is 16 years and that of the other 19 students is 22 years. the age of the 30 th student is :
Answer the question using a single word or phrase.

[Assistant] 22 years

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

[Assistant] 28 km


[User]
in an election only two candidates contested. a candidate secured 70 % of the valid votes and won by a majority of 176 votes. find the total number of valid votes?
Answer the question using a single word or phrase.

[Assistant] 440

[User]
( 17 ) 5.25 x ( 17 )? = 178
Answer the question using a single word or phrase.

[Assistant] 2.75

[User]
the time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. if the speed of the boat in still water is 54 kmph, find the speed of the stream?
Answer the question using a single word or phrase.

[Assistant] 18

[User]
some ladies can do a piece of work in 12 days. two times the number of such ladies will do half of that work in :
Answer the question using a single word or phrase.

[Assistant] 3 days

[User]
think of a number, divide it by 5 and add 6 to it. the result is 65. what is the number thought of?
Answer the question using a single word or phrase.

[Assistant] 295


[User]
sarah operated her lemonade stand monday through friday over a two week period and made a total profit of 200 dollars. on hot days she sold cups of lemonade for a price that was 25 percent higher than the regular days. each cup she sold had a total cost of 75 cents and sarah did not incur any other costs. if every day she sold exactly 32 cups and 4 of the days were hot, then what was the price of 1 cup on a hot day?
Answer the question using a single word or phrase.

[Assistant] $ 1.56

[User]
a candidate got 32 % of the votes polled and he lost to his rival by 1908 votes. how many votes were cast?
Answer the question using a single word or phrase.

[Assistant] 5300

[User]
the sub - duplicate ratio of 1 : 9 is
Answer the question using a single word or phrase.

[Assistant] 1 : 3

[User]
a sum of money is put out at compound interest for 2 years at 20 %. it would fetch rs. 482 more if the interest were payable half - yearly, then it were pay able yearly. find the sum.
Answer the question using a single word or phrase.

[Assistant] 2000

[User]
what is the value of 10 ^ 8 - 6 ^ 4?
Answer the question using a single word or phrase.

[Assistant] 9,99, 98,704


[User]
in a two digit number, the digit in the units place is 6 times the digit in 10's place and sum of the digits is equal to 7. what is the number?
Answer the question using a single word or phrase.

[Assistant] 16

[User]
shannon and maxine work in the same building and leave work at the same time. shannon lives due north of work and maxine lives due south. the distance between maxine's house and shannon's house is 40 miles. if they both drive home at the rate 2 r miles per hour, maxine arrives home 40 minutes after shannon. if maxine rider her bike home at the rate of r per hour and shannon still drives at a rate of 2 r miles per hour, shannon arrives home 2 hours before maxine. how far does maxine live from work?
Answer the question using a single word or phrase.

[Assistant] 38

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

[Assistant] $ 780

[User]
in an exam, amar scored 64 percent, bhavan scored 36 percent and chetan 44 percent. the maximum score awarded in the exam is 900. find the average mark scored by all the 3 boys?
Answer the question using a single word or phrase.

[Assistant] 432

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

[Assistant] 220 m


[User]
find the average of first 5 multiples of 5?
Answer the question using a single word or phrase.

[Assistant] 15

[User]
a train passes a station platform in 36 sec and a man standing on the platform in 20 sec. if the speed of the train is 108 km / hr. what is the length of the platform?
Answer the question using a single word or phrase.

[Assistant] 480

[User]
a train with a length of 100 meters, is traveling at a speed of 72 km / hr. the train enters a tunnel 2.9 km long. how many minutes does it take the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?
Answer the question using a single word or phrase.

[Assistant] 2.5

[User]
a train 120 m long is running at a speed of 68 kmph. how long does it take to pass a man who is running at 8 kmph in the same direction as the train?
Answer the question using a single word or phrase.

[Assistant] 7.2 sec

[User]
if exactly 7 guests drank only one of the two types of drinks, how many guests drank both types of drinks?
Answer the question using a single word or phrase.

[Assistant] 2


[User]
if a train, travelling at a speed of 160 kmph, crosses a pole in 9 sec, then the length of train is?
Answer the question using a single word or phrase.

[Assistant] 400

[User]
when a certain number x is divided by 63, the remainder is 11. what is the remainder when x is divided by 9?
Answer the question using a single word or phrase.

[Assistant] 2

[User]
due to construction, the speed limit along an 15 - 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] 9.36

[User]
[ ( 3.242 x 12 ) / 100 ] =?
Answer the question using a single word or phrase.

[Assistant] 0.038904

[User]
for all positive integers m, [ m ] = 3 m when m is odd and [ m ] = ( 1 / 2 ) * m when m is even. what is [ 5 ] * [ 6 ] equivalent to?
Answer the question using a single word or phrase.

[Assistant] [ 15 ]


[User]
find the c. i. on a sum of rs. 10000 for 9 months at 20 % per annum, interest being compounded quarterly?
Answer the question using a single word or phrase.

[Assistant] 1025

[User]
a person crosses a 720 m long street in 12 minutes. what is his speed in km per hour?
Answer the question using a single word or phrase.

[Assistant] 3.6

[User]
in a certain boys camp, 20 % of the total boys are from school a and 30 % of those study science. if there are 28 boys in the camp that are from school a but do not study science then what is the total number of boys in the camp?
Answer the question using a single word or phrase.

[Assistant] 200

[User]
if 22 lines are drawn in a plane such that no two of them are parallel and no three are concurrent, then in how many points do they intersect?
Answer the question using a single word or phrase.

[Assistant] 231

[User]
the population of a town increased from 1, 75,000 to 2, 45,000 in a decade. the average percent increase of population per year is
Answer the question using a single word or phrase.

[Assistant] 4 %


[User]
how many integers between 1 and 10 ^ 20 are such that the sum of their digits is 2?
Answer the question using a single word or phrase.

[Assistant] 210

[User]
the price of commodity x increases by 40 paise every year, while the price of commodity y increases by 15 paise every year. if in 1988, the price of commodity x was 4.20 and that of y was 6.30, in which year will commodity x cost 40 paise more than commodity y?
Answer the question using a single word or phrase.

[Assistant] 1998

[User]
when tom works alone he chops 4 lb. salad in 3 minutes, and when tammy works alone she chops 3 lb. salad in 4 minutes. they start working together, and after some time finish chopping 65 lb. of salad. of those 80 lb., the salad quantity chopped by tammy is what percent greater than the quantifying chopped by tom?.
Answer the question using a single word or phrase.

[Assistant] 125 %

[User]
of the total amount that jill spent on a shopping trip, excluding taxes, she spent 45 percent on clothing, 45 percent on food, and 10 percent on other items. if jill paid a 5 percent tax on the clothing, no tax on the food, and an 10 percent tax on all other items, then the total tax that she paid was what percent of the total amount that she spent, excluding taxes?
Answer the question using a single word or phrase.

[Assistant] 3.25

[User]
a cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 10 hours. if both the taps are opened simultaneously, then after how much time will the cistern get filled?
Answer the question using a single word or phrase.

[Assistant] 6.7 hrs


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

[Assistant] 6.25

[User]
the speed of a car is 90 km in the first hour and 80 km in the second hour. what is the average speed of the car?
Answer the question using a single word or phrase.

[Assistant] 85

[User]
if the price of gasoline increases by 25 % and ron intends to spend only 15 % more on gasoline, by how much % should he reduce the quantity of gasoline that he buys?
Answer the question using a single word or phrase.

[Assistant] 8 %

[User]
in how many years will a sum of money doubles itself at 10 % per annum on simple interest?
Answer the question using a single word or phrase.

[Assistant] 10 %

[User]
if x gets 25 % more than y and y gets 20 % more than z, the share of z out of rs. 925 will be :
Answer the question using a single word or phrase.

[Assistant] rs. 250


[User]
one pipe can fill a pool 1.25 times faster than a second pipe. when both pipes are opened, they fill the pool in 4 hours. how long would it take to fill the pool if only the slower pipe is used?
Answer the question using a single word or phrase.

[Assistant] 9

[User]
what will be the reminder when ( 27 ^ 27 + 27 ) is divided by 28?
Answer the question using a single word or phrase.

[Assistant] 26

[User]
ram's salary is 25 % more than raja's. how much percent is raja's salary less than ram's?
Answer the question using a single word or phrase.

[Assistant] 20 %

[User]
what is the tens digit of 6 ^ 20?
Answer the question using a single word or phrase.

[Assistant] 7

[User]
x and y invested in a business. they earned some profit which they divided in the ratio of 1 : 3. if x invested rs. 10,000. the amount invested by y is
Answer the question using a single word or phrase.

[Assistant] rs. 30,000


[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 80 % 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] 48 %

[User]
a car going at 10 miles per hour set out on an 80 - mile trip at 9 : 00 a. m. exactly 10 minutes later, a second car left from the same place and followed the same route. how fast, in miles per hour, was the second car going if it caught up with the first car at 10 : 30 a. m.?
Answer the question using a single word or phrase.

[Assistant] 20

[User]
0.009 / x = 0.1. find the value of x
Answer the question using a single word or phrase.

[Assistant] 0.09

[User]
the decimal 0.1 is how many times greater than the decimal ( 0.01 ) ^ 4?
Answer the question using a single word or phrase.

[Assistant] 10 ^ 7

[User]
in a group of 70 people, 60 like swimming, 50 like wrestling. how many like both swimming and wrestling?
Answer the question using a single word or phrase.

[Assistant] 40


[User]
find the area of the quadrilateral of one of its diagonals is 40 cm and its off sets 11 cm and 9 cm?
Answer the question using a single word or phrase.

[Assistant] 400 cm 2

[User]
if 3 taps are opened together a tank is filled in 3 hrs. one of the taps alone can fill it in 10 hrs. and another in 15 hrs. in how many hours will the third tap fill it?
Answer the question using a single word or phrase.

[Assistant] 6 hrs.

[User]
a man took a loan from a bank at the rate of 10 % p. a. simple interest. after 3 years he had to pay rs. 5400 interest only for the period. the principal amount borrowed by him was :
Answer the question using a single word or phrase.

[Assistant] rs. 18,000

[User]
how many different positive integers exist between 10 ^ 9 and 10 ^ 10, the sum of whose digits is equal to 2?
Answer the question using a single word or phrase.

[Assistant] 10

[User]
a pair of articles was bought for $ 50 at a discount of 60 %. what must be the marked price of each of the article?
Answer the question using a single word or phrase.

[Assistant] $ 10


[User]
the average runs of a cricket player of 15 innings was 25. how many runs must he make in his next innings so as to increase his average of runs by 6?
Answer the question using a single word or phrase.

[Assistant] 121

[User]
two airplanes take off from one airfield at noon. one flies due east at 202 miles per hour while the other flies directly northeast at 283 miles per hour. approximately how many miles apart are the airplanes at 2 p. m.?
Answer the question using a single word or phrase.

[Assistant] 404

[User]
( x ) + 1315 + 9211 - 1569 = 11901. calculate the value of x
Answer the question using a single word or phrase.

[Assistant] 87803

[User]
find the product of the local value and absolute value of 8 in 564823
Answer the question using a single word or phrase.

[Assistant] 6400

[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 110 kmph, find the rate at which the train b runs.
Answer the question using a single word or phrase.

[Assistant] 165


[User]
a man can row 3.9 km / hr in still water. it takes him twice as long to row upstream as to row downstream. what is the rate of the current?
Answer the question using a single word or phrase.

[Assistant] 1.3

[User]
a sun is divided among x, y and z in such a way that for each rupee x gets, y gets 45 paisa and z gets 50 paisa. if the share of y is rs. 27, what is the total amount?
Answer the question using a single word or phrase.

[Assistant] 117

[User]
if a ( a + 4 ) = 21 and b ( b + 4 ) = 21, where a ≠ b, then a + b =
Answer the question using a single word or phrase.

[Assistant] − 4

[User]
the length of a train and that of a platform are equal. if with a speed of 90 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] 750

[User]
the average weight of 7 person's increases by 6.2 kg when a new person comes in place of one of them weighing 76 kg. what might be the weight of the new person?
Answer the question using a single word or phrase.

[Assistant] 119.4 kg


[User]
the cost of 3 pens and 5 pencils is rs. 100. also the cost of one pen and one pencil is in the ratio of 5 : 1 respectively. what is the cost of one dozen pens?
Answer the question using a single word or phrase.

[Assistant] rs. 300

[User]
the compound interest earned on a sum for the second and the third years are $ 1200 and $ 1272 respectively. what is the rate of interest?
Answer the question using a single word or phrase.

[Assistant] 6 %

[User]
10 camels cost as much as 24 horses, 26 horses cost as much as 4 oxen and 6 oxen as much as 4 elephants. if the cost of 10 elephants is rs. 170000, find the cost of a camel?
Answer the question using a single word or phrase.

[Assistant] rs. 4184.5

[User]
if the perimeter of a rectangular garden is 680 m, its length when its breadth is 82 m is?
Answer the question using a single word or phrase.

[Assistant] 258 m

[User]
what is the least number. which should be added to 0.0478 to make it a perfect square?
Answer the question using a single word or phrase.

[Assistant] 0.0006


[User]
the average score of a cricketer for 7 matches is 56 runs. if the average for first 4 matches is 46, then average for last 3 matches is
Answer the question using a single word or phrase.

[Assistant] 69

[User]
if in a cricket one day match, there were no wide balls, no wides, no extras and no overthrows. what is the maximum number of runs that a batsman can score in an ideal case scenario?
Answer the question using a single word or phrase.

[Assistant] 1653

[User]
how many multiples of 10 are there between 11 and 1001?
Answer the question using a single word or phrase.

[Assistant] 99

[User]
a 20 litre mixture of milk and water contains milk and water in the ratio 3 : 2. 10 litres of the mixture is removed and replaced with pure milk and the operation is repeated once more. at the end of the two removal and replacement, what is the ratio of milk and water in the resultant mixture?
Answer the question using a single word or phrase.

[Assistant] 9 : 1

[User]
6 workers should finish a job in 8 days. after 3 days came 4 workers join them. how many days x do they need to finish the same job?
Answer the question using a single word or phrase.

[Assistant] 3


[User]
if an investor puts $ 600 in a savings account that earns 10 percent annual interest compounded semiannually, how much money will be in the account after one year?
Answer the question using a single word or phrase.

[Assistant] $ 661.50

[User]
a “ sophie germain ” prime is any positive prime number p for which 2 p + 1 is also prime. the product of all the possible units digits of sophie germain primes greater than 6 is
Answer the question using a single word or phrase.

[Assistant] 189

[User]
the difference of two numbers is 1335. on dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. what is the smaller number?
Answer the question using a single word or phrase.

[Assistant] 264

[User]
dawson has to secure 30 % marks to clear his exam of class 8 th. he got 30 marks and failed by 36 marks. what is the maximum marks?
Answer the question using a single word or phrase.

[Assistant] 220

[User]
if the price of a book is first decreased by 15 % and then increased by 10 %, then the net change in the price will be :
Answer the question using a single word or phrase.

[Assistant] 6.5


[User]
a warehouse is labeling computer inventory with 5 - digit codes. each code is to consist of 4 digits between the numbers 0 and 9. the manager is debating whether to allow any 5 - digit codes to have leading zero's before a non - zero number is used. if not allowed, then numbers like 0025 cannot be used. the manager wants to measure the magnitude of the number of 5 - digit code possibilities that are lost if he disallows the use of leading zero's. how many such codes would be lost?
Answer the question using a single word or phrase.

[Assistant] 10000

[User]
tim and é lan are 90 miles away from one another. they are starting to move towards each other simultaneously, tim at a speed of 10 mph and é lan at a speed of 5 mph. if every hour they double their speeds, what is the distance that tim will pass until he meets é lan?
Answer the question using a single word or phrase.

[Assistant] 60 miles.

[User]
every year an amount increases by 1 / 9 th of itself. how much will it be after two years if its present value is rs. 64000?
Answer the question using a single word or phrase.

[Assistant] 79012.3

[User]
if c is 20 % of a and 10 % of b, what percent of a is b?
Answer the question using a single word or phrase.

[Assistant] 200 %

[User]
an amount of money is to be divided between p, q and r in the ratio of 3 : 7 : 12. if the difference between the shares of p and q is rs. 3600, what will be the difference between q and r's share?
Answer the question using a single word or phrase.

[Assistant] 4500


[User]
10 camels cost as much as 24 horses, 16 horses cost as much as 4 oxen and 6 oxen as much as 4 elephants. if the cost of 10 elephants is rs. 120000, find the cost of a camel?
Answer the question using a single word or phrase.

[Assistant] s. 4800

[User]
in an exam ashley secured 332 marks. if she secured 83 % makes, find the maximum marks
Answer the question using a single word or phrase.

[Assistant] 400

[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 his son is
Answer the question using a single word or phrase.

[Assistant] 22 years

[User]
a number when divided by 100 leaves 11 as a remainder. what will be the remainder if the number is divided by 11?
Answer the question using a single word or phrase.

[Assistant] 1

[User]
if 3 x = 8 y = z, what is x + y, in terms of z?
Answer the question using a single word or phrase.

[Assistant] 11 z / 24


[User]
a train requires 10 seconds to pass a pole while it requires 35 seconds to cross a stationary train which is 500 mtrs long. find the speed of the train.
Answer the question using a single word or phrase.

[Assistant] 72 kmph

[User]
the average salary of all the workers in a workshop is rs. 8000. the average salary of 7 technicians is rs. 12000 and the average salary of the rest is rs. 6000. the total number of workers in the workshop is
Answer the question using a single word or phrase.

[Assistant] 21

[User]
the radius of a wheel is 22.6 cm. what is the distance covered by the wheel in making 750 resolutions?
Answer the question using a single word or phrase.

[Assistant] 1055.04 m

[User]
car z travels 45 miles per gallon of gasoline when driven at a constant rate of 45 miles per hour, but travels 20 percent fewer miles per gallon of gasoline when driven at a constant rate of 60 miles per hour. how many miles does car z travel on 10 gallons of gasoline when driven at a constant rate of 60 miles per hour?
Answer the question using a single word or phrase.

[Assistant] 360

[User]
evaluate : log 3 27
Answer the question using a single word or phrase.

[Assistant] 3


[User]
how long does a train 110 m long running at the speed of 72 km / hr takes to cross a bridge 140 m length?
Answer the question using a single word or phrase.

[Assistant] 12.5 sec

[User]
the average of 12 result is 55. average of the first 6 of them is 42 and that of the last 6 is 48. find the 8 th result?
Answer the question using a single word or phrase.

[Assistant] 564

[User]
15 % of 75 is the same as vx % of 450. find x.
Answer the question using a single word or phrase.

[Assistant] 2.5

[User]
a fill pipe can fill 1 / 2 of cistern in 25 minutes. in how many minutes, it can fill 1 / 2 of the cistern?
Answer the question using a single word or phrase.

[Assistant] 25 min

[User]
a straight line in the xy - plane has a slope of 2 and a y - intercept of 2. on this line, what is the x - coordinate of the point whose y - coordinate is 520?
Answer the question using a single word or phrase.

[Assistant] 259


[User]
if 15 % of 40 is greater than 25 % of a number by 2, the number is
Answer the question using a single word or phrase.

[Assistant] 16

[User]
john purchased 1325 large bottles at $ 1.89 per bottle and 750 small bottles at $ 1.38 per bottle. what was the approximate average price paid per bottle?
Answer the question using a single word or phrase.

[Assistant] $ 1.71

[User]
find the smallest number of six digits exactly divisible by 25, 35,45 and 15.
Answer the question using a single word or phrase.

[Assistant] 100775

[User]
the moon revolves around the earth at a speed of approximately 1.05 kilometers per second. this approximate speed is how many kilometers per hour?
Answer the question using a single word or phrase.

[Assistant] 3,780

[User]
the speed of a car is 100 km in the first hour and 60 km in the second hour. what is the average speed of the car?
Answer the question using a single word or phrase.

[Assistant] 80


[User]
a sum of money is put out at compound interest for 2 years at 20 %. it would fetch rs. 1446 more if the interest were payable half - yearly, then it were pay able yearly. find the sum.
Answer the question using a single word or phrase.

[Assistant] 60000

[User]
a man buys a cycle for rs. 2000 and sells it at a loss of 10 %. what is the selling price of the cycle?
Answer the question using a single word or phrase.

[Assistant] 1800

[User]
a runs twice as fast as b and gives b a start of 71 m. how long should the racecourse be so that a and b might reach in the same time?
Answer the question using a single word or phrase.

[Assistant] 142 m.

[User]
a and b began business with rs. 3000 and rs. 4000 after 8 months, a withdraws rs. 1000 and b advances rs. 1000 more. at the end of the year, their profits amounted to rs. 630 find the share of b.
Answer the question using a single word or phrase.

[Assistant] 390

[User]
a reduction of 20 % in the price of salt enables a lady to obtain 10 kgs more for rs. 500, find the original price per kg?
Answer the question using a single word or phrase.

[Assistant] s. 12.5


[User]
evaluate : 59 - 12 * 3 * 2 =?
Answer the question using a single word or phrase.

[Assistant] 51

[User]
the average age of a class of 20 students is 22 years. the average increased by 2 when the teacher's age also included. what is the age of the teacher?
Answer the question using a single word or phrase.

[Assistant] 44 years

[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 540 kilos of plankton, how many kilos did he consume on the sixth hour?
Answer the question using a single word or phrase.

[Assistant] 63

[User]
walking at 70 % 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] 56

[User]
the profit earned by selling an article for rs. 832 is equal to the loss incurred when the same article is sold for rs. 448. what should be the sale price for making 40 % profit?
Answer the question using a single word or phrase.

[Assistant] 896


[User]
two employees x and y are paid a total of rs. 880 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. 400

[User]
two trains start from p and q respectively and travel towards each other at a speed of 50 km / hr and 40 km / hr respectively. by the time they meet, the first train has travelled 1 ookm more than the second. the distance between p and q is
Answer the question using a single word or phrase.

[Assistant] 900 km

[User]
a certain store sold pens for $ 0.35 each and pencils for $ 0.25 each. if a customer purchased both pens and pencils from the store for a total of $ 3.50, what total number of pens and pencils did the customer purchase?
Answer the question using a single word or phrase.

[Assistant] 12

[User]
dan ’ s car gets 32 miles per gallon. if gas costs $ 4 / gallon, then how many miles can dan ’ s car go on $ 42 of gas?
Answer the question using a single word or phrase.

[Assistant] 336

[User]
aarti can do a piece of work in 8 days. in how many days will she complete three time of work of same type?
Answer the question using a single word or phrase.

[Assistant] 24 days


[User]
in a box of 11 pencils, a total of 2 are defective. if a customer buys 3 pencils selected at random from the box, what is the probability that neither pencils will be defective?
Answer the question using a single word or phrase.

[Assistant] 28 / 55

[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. 8300. 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] 5300

[User]
by investing rs. 1800 in 9 % stock, syam earns rs. 120. find out the stock is then quoted at which rate?
Answer the question using a single word or phrase.

[Assistant] 135

[User]
65 % of x = 20 % of 552.50. find the value of x?
Answer the question using a single word or phrase.

[Assistant] 170

[User]
find the value of y from ( 12 ) ^ 3 x 6 ^ 3 ÷ 432 = y?
Answer the question using a single word or phrase.

[Assistant] 864


[User]
a train 105 m long passes a man, running at 5 km / hr in the same direction in which the train is going, in 10 seconds. the speed of the train is :
Answer the question using a single word or phrase.

[Assistant] 42.8

[User]
find the greatest number that will divide 256, 193 and 210 leaving 6, 18 and 100 as remainders respectively
Answer the question using a single word or phrase.

[Assistant] 25

[User]
the area of a circle is increased by 1500 %. by what percent has the radius of the circle increased?
Answer the question using a single word or phrase.

[Assistant] 300 %

[User]
the total price of a basic computer and printer are $ 2,500. if the same printer had been purchased with an enhanced computer whose price was $ 500 more than the price of the basic computer, then the price of the printer would have been 1 / 6 of that total. what was the price of the basic computer?
Answer the question using a single word or phrase.

[Assistant] 2000

[User]
a certain car's price decreased by 2.5 % ( from the original price ) each year from 1996 to 2002, during that time the owner of the car invested in a new carburetor and a new audio system for the car, which increased car's price by $ 1,000. if the price of the car in 1996 was $ 22,000, what is the car's price in 2002?
Answer the question using a single word or phrase.

[Assistant] $ 19,700


[User]
what positive number, when squared, is equal to the cube of the positive square root of 12?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
if 20 men can build a wall 112 metres long in 6 days, what length of a similar wall can be built by 10 men in 3 days?
Answer the question using a single word or phrase.

[Assistant] 28 mtr

[User]
a alone can finish a work in 10 days which b alone can finish in 15 days. if they work together and finish it, then out of a total wages of rs. 3200, a will get :
Answer the question using a single word or phrase.

[Assistant] rs. 1920

[User]
triathlete dan runs along a 3 - mile stretch of river and then swims back along the same route. if dan runs at a rate of 10 miles per hour and swims at a rate of 6 miles per hour, what is his average rate for the entire trip in miles per minute?
Answer the question using a single word or phrase.

[Assistant] 1 / 8

[User]
i flew my tiny seaplane to visit my mother. on the flight up, i flew at 140 mph. on the way home, i flew 88 mph. what was my average speed for the trip?
Answer the question using a single word or phrase.

[Assistant] 114 mph


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

[Assistant] 3

[User]
the average age of 25 students in a group is 12 years. when teacher's age is included to it, the average increases by one. what is the teacher's age in years?
Answer the question using a single word or phrase.

[Assistant] 38

[User]
a $ 84.95 lawn chair was sold for $ 59.95 at a special sale. by approximately what percent was the price decreased?
Answer the question using a single word or phrase.

[Assistant] 29 %

[User]
what is 35 % of 4 / 13 of 845?
Answer the question using a single word or phrase.

[Assistant] 80

[User]
a grocer has a sale of rs. 5700, rs. 8550, rs. 6855, rs. 3850 for 4 consecutive months. how much sale must he have in the fifth month so that he gets an average sale of rs. 7800?
Answer the question using a single word or phrase.

[Assistant] s. 14045


[User]
the cash difference between the selling prices of an book at a profit of 4 % and 8 % is $ 3. the ratio of the two selling prices is :
Answer the question using a single word or phrase.

[Assistant] 26 : 27

[User]
the ratio of ducks and frogs in a pond is 35 : 39 respectively. the average number of ducks and frogs in the pond is 152. what is the number of frogs in the pond?
Answer the question using a single word or phrase.

[Assistant] 160

[User]
suraj has a certain average of runs for 14 innings. in the 15 th innings he scores 140 runs thereby increasing his average by 8 runs. what is his average after the 15 th innings?
Answer the question using a single word or phrase.

[Assistant] 28

[User]
a cistern is fille in 8 hours and it takes 12 hours when there is a leak in its bottom. if the cistern is full, in what time shall the leak empty it?
Answer the question using a single word or phrase.

[Assistant] 24 hours

[User]
if 12 men do a work in 80 days, in how many days will 16 men do it?
Answer the question using a single word or phrase.

[Assistant] 60


[User]
how many points ( x, y ) lie on the line segment between ( 22, 12 2 / 3 ) and ( 16, 17 2 / 3 ) such that x and y are both integers?
Answer the question using a single word or phrase.

[Assistant] 1

[User]
a certain class of students is being divided into teams. the class can either be divided into 15 teams with an equal number of players on each team or 24 teams with an equal number of players on each team. what is the lowest possible number of students in the class?
Answer the question using a single word or phrase.

[Assistant] 120

[User]
a department store perceived a run on a lower priced garment and raised the price by 20 % to keep stock available until another shipment arrived. customers fumed and the department store manager allowed them to purchase the garments at 80 % of the new price to save face. what was the difference in the new retail price and the price the customers were allowed to pay instead?
Answer the question using a single word or phrase.

[Assistant] 4.0 %

[User]
the price of a mobile was increased by 40 percent. the new price was then decreased by 15 percent. a single increase of what percent is equivalent to these two successive changes?
Answer the question using a single word or phrase.

[Assistant] 19 %

[User]
a, b and c completed a piece of work, a worked for 16 days, b for 9 days and c for 4 days. their daily wages were in the ratio of 3 : 4 : 5. find the daily wages of c, if their total earning was rs. 1480?
Answer the question using a single word or phrase.

[Assistant] rs. 71.15


[User]
there are 20 students in a class. in how many different ways can a committee of 3 students be formed?
Answer the question using a single word or phrase.

[Assistant] 1140

[User]
the closest approximation of w ( 69.28 × 0.004 ) / 0.03 is
Answer the question using a single word or phrase.

[Assistant] 9.2

[User]
the least number by which 72 must be multiplied in order to produce a multiple of 112, is :
Answer the question using a single word or phrase.

[Assistant] 14

[User]
if there are 200 questions in a 3 hr examination. among these questions are 50 type a problems, which requires twice as much as time be spent than the rest of the type b problems. how many minutes should be spent on type a problems?
Answer the question using a single word or phrase.

[Assistant] 72 min

[User]
a person spends 1 / 3 rd of the money with him on clothes, 1 / 5 th of the remaining on food and 1 / 4 th of the remaining on travel. now, he is left with rs 100. how much did he have with him in the beginning?
Answer the question using a single word or phrase.

[Assistant] rs 250


[User]
marginal cost is the cost of increasing the quantity produced ( or purchased ) by one unit. if the fixed cost for n products is $ 10,000 and the marginal cost is $ 80, and the total cost is $ 16,000, what is the value of n?
Answer the question using a single word or phrase.

[Assistant] 75

[User]
find the area, diameter = 12 m.
Answer the question using a single word or phrase.

[Assistant] 113.04 square meter

[User]
how many integers from 20 to 150, inclusive, are divisible by 3 but not divisible by 7?
Answer the question using a single word or phrase.

[Assistant] 37

[User]
on a two - dimensional coordinate plane, the line d = x ^ 2 - x ^ 3 touches the x - axis in how many places?
Answer the question using a single word or phrase.

[Assistant] 2

[User]
how many even integers from 1 to 100 ( both inclusive ) have even number of factors?
Answer the question using a single word or phrase.

[Assistant] 5


[User]
the ratio of the number of females to males at a party was 1 : 2 but when 4 females and 4 males left, the ratio became 1 : 3. how many people were at the party originally?
Answer the question using a single word or phrase.

[Assistant] 24

[User]
if 7875 / 5.25 = 1500, then 787.5 / 52.5 is equal to?
Answer the question using a single word or phrase.

[Assistant] 15

[User]
two trains, one from howrah to patna and the other from patna to howrah, start simultaneously. after they meet, the trains reach their destinations after 18 hours and 8 hours respectively. the ratio of their speeds is
Answer the question using a single word or phrase.

[Assistant] 4 : 9

[User]
when the price of an article is reduced by 30 %, the sales increases by 50 %. the percentage change in the total amount of receipts is?
Answer the question using a single word or phrase.

[Assistant] 5 % increase

[User]
find the ratio in which rice at rs. 7.20 a kg be mixed with rice at rs. 5.60 a kg to produce a mixture worth rs. 6.30 a kg
Answer the question using a single word or phrase.

[Assistant] 7 : 9