[User]
at a florist shop on a certain day, all corsages sold for either $ 40 or $ 45. if 8 of the corsages that sold for $ 30 had instead sold for $ 20, then the store's revenue from corsages that day would have been reduced by 20 percent. what was the store's actual revenue from corsages that day?
Answer the question using a single word or phrase.

[Assistant] $ 200

[User]
when a laptop is sold for rs. 27000, the owner loses 10 %. at what price must that laptop be sold in order to gain 10 %?
Answer the question using a single word or phrase.

[Assistant] 33,000

[User]
if the radius of a circle is increased by 50 % then the area is increased by :
Answer the question using a single word or phrase.

[Assistant] 125 %

[User]
a certain company reported that the revenue on sales increased 40 % from 2000 to 2003, and increased 60 % from 2000 to 2005. what was the approximate percent increase in revenue for this store from 2003 to 2005?
Answer the question using a single word or phrase.

[Assistant] 14 %

[User]
the difference between the compound interest compounded annually and simple interest for 2 years at 20 % per annum is rs. 144. find the principal?
Answer the question using a single word or phrase.

[Assistant] 3600


[User]
if xy > 0, 1 / x + 1 / y = 6, and 1 / xy = 5, then ( x + y ) / 6 =?
Answer the question using a single word or phrase.

[Assistant] 1 / 5

[User]
a train 100 meters long completely crosses a 300 meters long bridge in 12 seconds. what is the speed of the train is?
Answer the question using a single word or phrase.

[Assistant] 120 kmph

[User]
a reduction of 30 % in the price of salt enables a lady to obtain 10 kgs more for rs. 200, find the original price per kg?
Answer the question using a single word or phrase.

[Assistant] 8.57

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

[Assistant] 50

[User]
if x = 7 and y = − 2, what is the value of ( x − 2 y ) ^ y?
Answer the question using a single word or phrase.

[Assistant] 0.001


[User]
an automobile parts supplier charges $ 25 per package of gaskets. when a customer orders more than 10 packages of gaskets, the supplier charges 4 / 5 the price for each package in excess of 10. during a certain week, the supplier sold 60 packages of gaskets. if 25 percent of the gaskets went to company x, 15 percent to company y, and the rest to company z, what was the total amount, in dollars, that the parts supplier received in payment for the gaskets?
Answer the question using a single word or phrase.

[Assistant] 1345

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

[Assistant] 18 %

[User]
the value of a scooter depreciates in such a way that its value of the end of each year is 3 / 4 of its value of the beginning of the same year. if the initial value of the scooter is rs. 40,000, what is the value at the end of 5 years?
Answer the question using a single word or phrase.

[Assistant] 9492

[User]
what percent of 16 is 16 percent of 1?
Answer the question using a single word or phrase.

[Assistant] 1

[User]
what is the length of a bridge ( in meters ), which a train 148 meters long and travelling at 45 km / h can cross in 30 seconds?
Answer the question using a single word or phrase.

[Assistant] 227


[User]
at a loading dock, each worker on the night crew loaded 3 / 4 as many boxes as each worker on the day crew. if the night crew has 4 / 7 as many workers as the day crew, what fraction of all the boxes loaded by the two crews did the day crew load?
Answer the question using a single word or phrase.

[Assistant] 7 / 10

[User]
in 2008, the profits of company n were 10 percent of revenues. in 2009, the revenues of company n fell by 20 percent, but profits were 11 percent of revenues. the profits in 2009 were what percent of the profits in 2008?
Answer the question using a single word or phrase.

[Assistant] 88 %

[User]
in the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30. in the ` ` sport ''formulation, the ratio of flavoring to corn syrup is 3 times as great as in the standard formulation, and the ratio of flavoring to water is half that of the standard formulation. if a large bottle of the ` ` sport ''formulation contains 3 ounces of corn syrup, how many ounces of water does it contain?
Answer the question using a single word or phrase.

[Assistant] 45

[User]
one year before the age of pramila was 4 times than her daughter swati. after 6 years the age of pramila will be 24 year greater than the age of swati. then calculate the ratio of ages of pramila and swati?
Answer the question using a single word or phrase.

[Assistant] 11 : 3

[User]
somehow or other i got talked into buying something on the installment plan. i'm notsure i got a good deal. the payments to date, according to my checkbook, have reached rs. 96. the second year cost rs. 2.00 more than the first year ; the third year cost rs. 3.00 more thanthe second ; and the fourth year cost me rs. 4.00 more than the third. what were mypayments the first year?
Answer the question using a single word or phrase.

[Assistant] 20


[User]
if x is a sum of all even integers on the interval 23... 65 and y is their number, what is the gcd ( x, y )?
Answer the question using a single word or phrase.

[Assistant] 21

[User]
a cube with its sides numbered 1 through 6 is rolled twice, first landing on a and then landing on b. if any roll of the cube yields an equal chance of landing on any of the numbers 1 through 6, what is the probability w that a + b is prime?
Answer the question using a single word or phrase.

[Assistant] 5 / 12

[User]
the radius of a wheel is 22.4 cm. what is the distance covered by the wheel in making 750 resolutions?
Answer the question using a single word or phrase.

[Assistant] 1056 m

[User]
a car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 450 kilometers per hour. at what speed, in kilometers per hour, is the car traveling?
Answer the question using a single word or phrase.

[Assistant] 360

[User]
a sum of rs. 2795 is lent into two parts so that the interest on the first part for 8 years at 3 % per annum may be equal to the interest on the second part for 3 years at 5 % per annum. find the second sum?
Answer the question using a single word or phrase.

[Assistant] 1720


[User]
in one year, the population, of a village increased by 25 % and in the next year, it decreased by 25 %. if at the end of 2 nd year, the population was 18750, what was it in the beginning?
Answer the question using a single word or phrase.

[Assistant] 20000

[User]
a small pool filled only with water will require an additional 300 gallons of water in order to be filled to 85 % of its capacity. if pumping in these additional 300 gallons of water will increase the amount of water in the pool by 30 %, what is the total capacity of the pool in gallons?
Answer the question using a single word or phrase.

[Assistant] 1529.41

[User]
if 85 % of 3 / 5 of a number is 36, then the number is?
Answer the question using a single word or phrase.

[Assistant] 70.5

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

[Assistant] 18

[User]
√ 3 percent of 3 √ 3 =
Answer the question using a single word or phrase.

[Assistant] 0.1


[User]
machine a produces 100 parts twice as fast as machine b does. machine b produces 100 parts in 40 minutes. if each machine produces parts at a constant rate, how many parts does machine a produce in 10 minutes?
Answer the question using a single word or phrase.

[Assistant] 50

[User]
an order was placed for the supply of a carper whose length and breadth were in the ratio of 3 : 2. subsequently, the dimensions of the carpet were altered such that its length and breadth were in the ratio 7 : 3 but were was no change in its parameter. find the ratio of the areas of the carpets in both the cases?
Answer the question using a single word or phrase.

[Assistant] 8 : 7

[User]
of the diplomats who attended a summit conference : 20 spoke french, 32 did not speak english and 20 % of the diplomats spoke neither french nor english. if 10 % of the diplomats spoke both french and english, then how many diplomats attended the conference?
Answer the question using a single word or phrase.

[Assistant] 120

[User]
a man spends 2 / 5 of his salary on house rent, 3 / 10 of his salary on food and 1 / 8 of his salary on conveyance. if he has $ 1400 left with him, find his expenditure on food.
Answer the question using a single word or phrase.

[Assistant] $ 2400

[User]
in the fifth grade at parkway elementary school there are 420 students. 312 students are boys and 250 students are playing soccer. 82 % of the students that play soccer are boys. how many girl student are in parkway that is not playing soccer?
Answer the question using a single word or phrase.

[Assistant] 63.


[User]
x, a, z, and b are single digit positive integers. x = 1 / 5 a. z = 1 / 5 b. ( 10 a + b ) – ( 10 x + z ) could not equal
Answer the question using a single word or phrase.

[Assistant] 33

[User]
how much water should be added to 10 liters of a 20 % - solution of alcohol to reduce the concentration of alcohol in the solution by 75 %?
Answer the question using a single word or phrase.

[Assistant] 30 liters

[User]
on a game show, a contestant is given 3 keys, each of which opens exactly one of 3 identical boxes. the first box contains $ 5, the second $ 500, and the third $ 5000. the contestant assigns each key to one of the boxes and wins the amount of money contained in any box that is opened by the key assigned to it. what is the probability that a contestant will win more than $ 5000?
Answer the question using a single word or phrase.

[Assistant] 1 / 6

[User]
sakshi can do a piece of work in 20 days. tanya is 25 % more efficient than sakshi. the number of days taken by tanya to do the same piece of work :
Answer the question using a single word or phrase.

[Assistant] 16

[User]
there are 18 stations between hyderabad and bangalore. how many second class tickets have to be printed, so that a passenger can travel from any station to any other station?
Answer the question using a single word or phrase.

[Assistant] 380


[User]
a boat traveled upstream 90 miles at an average speed of ( v - 3 ) miles per hour and then traveled the same distance downstream at an average speed of ( v + 3 ) miles per hour. if the trip upstream took a half hour longer than the trip downstream, then how many hours did it take the boat to travel downstream?
Answer the question using a single word or phrase.

[Assistant] 2.5

[User]
in a certain country 1 / 3 of 4 = 6. assuming the same proportion, what would be the value of 1 / 6 of 20?
Answer the question using a single word or phrase.

[Assistant] 15

[User]
working together, a and b can do a job in 6 days. b and c can do the same job in 10 days, while c and a can do it in 7.5 days. how long will it take if all a, b and c work together to complete the job?
Answer the question using a single word or phrase.

[Assistant] 5 days

[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 12 % if no discount was offered?
Answer the question using a single word or phrase.

[Assistant] 17920

[User]
if x / ( 12 p ) is an even prime number, where x is a positive integer and p is a prime number, what is the least value of x?
Answer the question using a single word or phrase.

[Assistant] 48


[User]
there are 8 players in a chess group, and each player plays each of the others once. given that each game is played by two players, how many total games will be played?
Answer the question using a single word or phrase.

[Assistant] 28

[User]
a driver just filled the car's gas tank with 45 liters of gasohol, a mixture consisting of 5 % ethanol and 95 % gasoline. if the car runs best on a mixture consisting of 10 % ethanol and 90 % gasoline, how many liters of ethanol must be added into the gas tank for the car to achieve optimum performance?
Answer the question using a single word or phrase.

[Assistant] 2.5

[User]
think of a number, divide it by 5 and add 23 to it. the result is 42. what is the number thought of?
Answer the question using a single word or phrase.

[Assistant] 95

[User]
ms. lopez deposits $ 100 in an account that pays 20 % interest, compounded semiannually. how much money will there be in the account at the end of one year?
Answer the question using a single word or phrase.

[Assistant] $ 121.00

[User]
the present population of a town is 1000. population increase rate is 20 % p. a. find the population of town after 2 years?
Answer the question using a single word or phrase.

[Assistant] 1440


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

[Assistant] 8774

[User]
kim can do a work in 3 days while david can do the same work in 2 days. both of them finish the work together and get rs. 150. what is the share of kim?
Answer the question using a single word or phrase.

[Assistant] 60

[User]
at what price must an article costing rs. 51.50 be marked in order that after deducting 5 % 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] 67.7

[User]
4,7, 11,18, 29,47,...?.., 123,199
Answer the question using a single word or phrase.

[Assistant] 76

[User]
there are two cars. one is 60 miles north of the other. simultaneously, the car to the north is driven westward at 15 miles per hour and the other car is driven eastward at 25 miles per hour. how many miles apart are the cars after 2 hours?
Answer the question using a single word or phrase.

[Assistant] 100


[User]
the diluted wine contains only 8 liters of wine and the rest is water. a new mixture whose concentration is 30 %, is to be formed by replacing wine. how many liters of mixture shall be replaced with pure wine if there was initially 32 liters of water in the mixture?
Answer the question using a single word or phrase.

[Assistant] 5

[User]
the length of the side of a square is represented by x + 2. the length of the side of an equilateral triangle is 2 x. if the square and the equilateral triangle have equal perimeter, then the value of x is?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
the cost price of 8 articles is equal to the selling price of 5 articles. what is the profit percent?
Answer the question using a single word or phrase.

[Assistant] 60 %

[User]
a man is 30 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] 28

[User]
in what ratio should a variety of rice costing rs. 7 per kg be mixed with another variety of rice costing rs. 8.75 per kg to obtain a mixture costing rs. 7.50 per kg?
Answer the question using a single word or phrase.

[Assistant] 5 / 2


[User]
q and r are two - digit positive integers that have the same digits but in reverse order. if the positive difference between q and r is less than 20, what is the greatest possible value of q minus r?
Answer the question using a single word or phrase.

[Assistant] 18

[User]
a 600 meter long train crosses a signal post in 50 seconds. how long will it take to cross a 3 kilometer long bridge, at the same speed?
Answer the question using a single word or phrase.

[Assistant] 5 min

[User]
a cistern is normally filled in 6 hrs, but takes 2 hrs longer to fill because of a leak on its bottom, if cistern is full, how much time citern would empty?
Answer the question using a single word or phrase.

[Assistant] 24 hours

[User]
a number x is multiplied with itself and then added to the product of 4 and x. if the result of these two operations is - 8, what is the value of x?
Answer the question using a single word or phrase.

[Assistant] can not be determined.

[User]
if the sum of two positive integers is 20 and the difference of their squares is 40, what is the product of the two integers?
Answer the question using a single word or phrase.

[Assistant] 99


[User]
8 men can do a piece of work in 12 days. 4 women can do it in 48 days and 10 children can do it in 24 days. in how many days can 10 men, 20 women and 10 children together complete the piece of work?
Answer the question using a single word or phrase.

[Assistant] 4 days

[User]
what is the remainder when 3 ^ 86 is divided by 5?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
if the ratio of two number is 2 : 5 and lcm of the number is 160 then what is the number.
Answer the question using a single word or phrase.

[Assistant] 16

[User]
the moon revolves around the earth at a speed of approximately 1.03 kilometers per second. this approximate speed is how many kilometers per hour?
Answer the question using a single word or phrase.

[Assistant] 3,708

[User]
the average marks obtained by 100 candidates in an examination is 50. find how many candidates have passed in the examination, if the average marks of candidates who passed is 70 and that of failed candidates is 20.
Answer the question using a single word or phrase.

[Assistant] 60


[User]
set v consists of integers { 3, - 8, y, 19, - 6 } and set b consists of integers { k, - 3, 0, 16, - 5, 9 }. number l represents the median of set v, number m represents mode of set b and number z = l ^ m. if y is an integer greater than 21, for what value of k will z be a divisor of 26?
Answer the question using a single word or phrase.

[Assistant] 0

[User]
in 1982 and 1983, company b ’ s operating expenses were $ 11.0 million and $ 14.0 million, respectively, and its revenues were $ 15.6 million and $ 18.8 million, respectively. what was the percent increase in company b ’ s profit ( revenues minus operating expenses ) from 1982 to 1983?
Answer the question using a single word or phrase.

[Assistant] 4 1 / 3 %

[User]
how many integers between 1 and 1,800 are divisible by 20, 30,40?
Answer the question using a single word or phrase.

[Assistant] 15

[User]
a sum of rs. 2704 is lent into two parts so that the interest on the first part for 8 years at 3 % per annum may be equal to the interest on the second part for 3 years at 5 % per annum. find the second sum?
Answer the question using a single word or phrase.

[Assistant] 1664

[User]
150 is increased by 40 %. find the final number.
Answer the question using a single word or phrase.

[Assistant] 210


[User]
a person's salary is getting reduced by 20 %. what percentage should be added to get back his original salary?
Answer the question using a single word or phrase.

[Assistant] 25 %

[User]
bag a contains red, white and blue marbles such that the red to white marble ratio is 1 : 3 and the white to blue marble ratio is 2 : 3. bag b contains red and white marbles in the ratio of 1 : 4. together, the two bags contain 18 white marbles. how many red marbles could be in bag a?
Answer the question using a single word or phrase.

[Assistant] 2

[User]
the price of lunch for 10 people was $ 207 including a 15 % gratuity for service. what was the average price per person, excluding the gratuity?
Answer the question using a single word or phrase.

[Assistant] 18

[User]
in an office, totally there are 1800 employees and 60 % of the total employees are males. 30 % of the males in the office are at - least 50 years old. find the number of males aged below 50 years?
Answer the question using a single word or phrase.

[Assistant] 756

[User]
if 25 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] 300


[User]
in a renowned city, the average birth rate is 5 people every two seconds and the death rate is 3 people every two seconds. estimate the size of the population net increase that occurs in one day.
Answer the question using a single word or phrase.

[Assistant] 86,400

[User]
population is 21000. population increases by 10 % every year, then the population after 3 years is?
Answer the question using a single word or phrase.

[Assistant] 27951

[User]
a, b, c hired a car for rs. 720 and used it for 9, 10 and 13 hours respectively. hire charges paid by b are :
Answer the question using a single word or phrase.

[Assistant] rs. 225

[User]
at what price must an book costing $ 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]
the average of 45 results is 13. the average of first 22 of them is 15 and that of last 22 is 20. find the 23 result?
Answer the question using a single word or phrase.

[Assistant] 695


[User]
if log 1087.5 = 5.9421, then the number of digits in ( 875 ) 10 is?
Answer the question using a single word or phrase.

[Assistant] 70

[User]
a japanese rock band made ¥ 3 million on their first album with sales of ¥ 12 million, and made ¥ 5 million on their second album with sales of ¥ 30 million. by approximately what percent did the ratio of profit to sales decrease from the first album to second album?
Answer the question using a single word or phrase.

[Assistant] 33 %

[User]
a number is doubled and 9 is added. if resultant is trebled, it becomes 69. what is that number
Answer the question using a single word or phrase.

[Assistant] 7

[User]
a motor boat takes 12 hours to go downstream and it takes 24 hours to return the same distance. what is the time taken by boat in still water?
Answer the question using a single word or phrase.

[Assistant] 16 h

[User]
if x is a positive integer, then the least value of x for which x! is divisible by 100000 is? can someone please explain intuitively what the question is asking?
Answer the question using a single word or phrase.

[Assistant] 20


[User]
a certain sum of money is divided among a, b and c such that a gets one - third of what b and c together get and b gets two - seventh of what a and c together get. if the amount received by a is $ 30 more than that received by b, find the total amount shared by a, b and c.
Answer the question using a single word or phrase.

[Assistant] $ 1080

[User]
if 0.25 of a number is equal to 0.05 of another number, the ratio of the numbers is :
Answer the question using a single word or phrase.

[Assistant] 1 : 5

[User]
what is the compound interest on rs : 50,000 for 4 months at the rate of 5 % per annum
Answer the question using a single word or phrase.

[Assistant] 838.55

[User]
the speed of a car increases by 2 kms after every one hour. if the distance travelling in the first one hour was 30 kms. what was the total distance traveled in 12 hours?
Answer the question using a single word or phrase.

[Assistant] 492 kms

[User]
how many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 54 kmph?
Answer the question using a single word or phrase.

[Assistant] 16.7 sec


[User]
if x and g are integers and 2 x – g = 11, then 4 x + g can not be
Answer the question using a single word or phrase.

[Assistant] 17

[User]
a fair 8 - sided dice labeled 1 to 8 is tossed 3 times. what is the probability the value of the dice shown is 3 at least once?
Answer the question using a single word or phrase.

[Assistant] 57 / 512

[User]
in what time will a train 100 m long cross an electric pole, it its speed be 216 km / hr?
Answer the question using a single word or phrase.

[Assistant] 1.7 sec

[User]
consider below info to be a table : amount of bacteria time - amount 1 pm - 10 gms 4 pm - x gms 7 pm - 12.1 gms data for a certain biology experiment are given in the table above. if the amount of bacteria present increased by the same factor during each of the two 3 - hour periods shown, how many grams of bacteria were present at 4 pm?
Answer the question using a single word or phrase.

[Assistant] 11.0

[User]
every day daniel drives 120 miles back from work. on sunday, daniel drove all the way back from work at a constant speed of x miles per hour. on monday, daniel drove the first 32 miles back from work at ( 2 x ) miles per hour, and the rest of the way at ( x / 2 ) miles per hour. the time it took daniel to drive back from work on monday is longer than the time it took him to drive back from work on sunday by what percent?
Answer the question using a single word or phrase.

[Assistant] 60 %


[User]
how many multiples of 4 are there between 1 and 100, inclusive?
Answer the question using a single word or phrase.

[Assistant] 25

[User]
caleb spends $ 66.50 on 50 hamburgers for the marching band. if single burgers cost $ 1.00 each and double burgers cost $ 1.50 each, how many double burgers did he buy?
Answer the question using a single word or phrase.

[Assistant] 33

[User]
a pump can fill a tank with water in 2 hours. because of a leak, it took hours to fill the tank. the leak can drain all the water of the tank in :
Answer the question using a single word or phrase.

[Assistant] 14

[User]
rectangular tile each of size 70 cm by 30 cm must be laid horizontally on a rectangular floor of size 900 cm by 600 cm, such that the tiles do not overlap and they are placed with edges jutting against each other on all edges. a tile can be placed in any orientation so long as its edges are parallel to the edges of floor. no tile should overshoot any edge of the floor. the maximum number of tiles that can be accommodated on the floor is :
Answer the question using a single word or phrase.

[Assistant] 100

[User]
a merchant has selected two items to be placed on sale, one of which currently sells for 45 percent less than the other. if he wishes to raise the price of the cheaper item so that the two items are equally priced, by what percentage must he raise the price of the less expensive item?
Answer the question using a single word or phrase.

[Assistant] 80 %


[User]
running at the same rate, 8 identical machines can produce 560 paperclips a minute. at this rate, how many paperclips could 15 machines produce in 6 minutes?
Answer the question using a single word or phrase.

[Assistant] 6300

[User]
in how many ways 3 boys and 3 girls can be seated in a row so that boys and girls are alternate?
Answer the question using a single word or phrase.

[Assistant] 72

[User]
if 7 gallons of gasoline are added to a tank that is already filled to 3 / 4 of its capacity, the tank is then filled to 9 / 10 of its capacity. how many gallons does the tank hold?
Answer the question using a single word or phrase.

[Assistant] 42

[User]
working at constant rate, pump x pumped out half of the water in a flooded basement in 6 hours. the pump y was started and the two pumps, working independently at their respective constant rates, pumped out rest of the water in 3 hours. how many hours would it have taken pump y, operating alone at its own constant rate, to pump out all of the water that was pumped out of the basement?
Answer the question using a single word or phrase.

[Assistant] d. 28

[User]
speed of a boat in standing water is 9 kmph and the speed of the stream is 6 kmph. a man rows to place at a distance of 170 km and comes back to the starting point. the total time taken by him is :
Answer the question using a single word or phrase.

[Assistant] 68 hours


[User]
if the cost price of 17 articles is equal to the selling price of 16 articles, what is the percentage of profit or loss that the merchant makes?
Answer the question using a single word or phrase.

[Assistant] 6.25 % profit

[User]
according to a recent student poll, 4 / 5 out of 20 members of the finance club are interested in a career in investment banking. if two students are chosen at random, what is the probability that at least one of them is interested in investment banking?
Answer the question using a single word or phrase.

[Assistant] 92 / 95

[User]
let p be a prime number. if n = 8 p, how many distinct even divisors does n have?
Answer the question using a single word or phrase.

[Assistant] 2

[User]
a candidate who gets 30 % of the marks fails by 30 marks. but another candidate who gets 45 % marks gets 15 marks more than necessary for passing. find the number of marks for passing?
Answer the question using a single word or phrase.

[Assistant] 120 marks

[User]
in a forest 190 deer were caught, tagged with electronic markers, then released. a week later, 50 deer were captured in the same forest. of these 50 deer, it was found that 5 had been tagged with the electronic markers. if the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest, and if no deer had either left or entered the forest over the preceding week, what is the approximate number of deer in the forest?
Answer the question using a single word or phrase.

[Assistant] 1,900


[User]
two goods trains each 500 m long are running in opposite directions on parallel tracks. their speeds are 20 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] 72

[User]
find the circumference and area of radius 11 cm.
Answer the question using a single word or phrase.

[Assistant] 380 cm ²

[User]
the average of marks obtained by 120 boys was 37. if the average of marks of passed boys was 39 and that of failed boys was 15, the number of boys who passed the examination is?
Answer the question using a single word or phrase.

[Assistant] 110

[User]
a fruit drink is made of orange, watermelon, and grape juice, where 25 percent of the drink is orange juice and 40 percent is watermelon juice. if the drink is made with 105 ounces of grape juice, how many ounces is the drink total?
Answer the question using a single word or phrase.

[Assistant] 300

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

[Assistant] 1683


[User]
it is the new year and mandy has made a resolution to lose weight this year. she plans to exercise and do yoga. for exercise she plans to workout at the gym and ride her bicycle in the ratio of 2 : 3 everyday. she will also do yoga in the ratio, yoga : exercise = 2 : 3. if she does yoga for 25 minutes, how much time will she spend in the gym?
Answer the question using a single word or phrase.

[Assistant] 25 min

[User]
find the compound interest accrued on an amount of rs. 14,800 at 13.5 % p. a at the end of two years. ( round off your answer to nearest integer?
Answer the question using a single word or phrase.

[Assistant] 4266

[User]
the ratio between the perimeter and the width of a rectangle is 5 : 1. if the area of the rectangle is 150 square centimeters, what is the length of the rectangle in centimeters?
Answer the question using a single word or phrase.

[Assistant] 15

[User]
how many odd numbers between 10 and 1500 are the squares of integers?
Answer the question using a single word or phrase.

[Assistant] 17

[User]
gold is 11 times as heavy as water and copper is 5 times as heavy as water. in what ratio should these be mixed to get an alloy 8 times as heavy as water?
Answer the question using a single word or phrase.

[Assistant] 1 : 1


[User]
if a car went the first third of the distance at 80 kmh, the second third at 24 kmh, and the last third at 30 kmh, what was the average speed of the car for the entire trip?
Answer the question using a single word or phrase.

[Assistant] 34 kmh

[User]
how many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 63 kmph?
Answer the question using a single word or phrase.

[Assistant] 14.3 sec

[User]
a store reported total sales of $ 385 million for february of this year. if the total sales for the same month last year was $ 320 million, approximately what was the percent increase i in sales?
Answer the question using a single word or phrase.

[Assistant] 20 %

[User]
income and expenditure of a person are in the ratio 5 : 4. if the income of the person is rs. 15000, then find his savings?
Answer the question using a single word or phrase.

[Assistant] 3000

[User]
salesperson a's compensation for any week is $ 280 plus 6 percent of the portion of a's total sales above $ 1,000 for that week. salesperson b's compensation for any week is 8 percent of b's total sales for that week. for what amount of total weekly sales would both salespeople earn the same compensation?
Answer the question using a single word or phrase.

[Assistant] $ 11,000


[User]
rashmi walks to her bus stop at 5 kmph and reaches there late by 10 minutes. on the next day, she increases her speed to 6 kmph and reaches the bus stop 10 minutes early. how far is the bus stop?
Answer the question using a single word or phrase.

[Assistant] 10

[User]
the amount of principal rs. 8000 at compound interest at the ratio of 5 % p. a. for 2 years is
Answer the question using a single word or phrase.

[Assistant] s. 8820

[User]
a cistern 6 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] 49

[User]
all the milk in container a which was filled to its brim was poured into two containers b and c. the quantity of milk in container b was 62.5 % less than the capacity of container a. if 152 liters was now transferred from c to b, then both the containers would have equal quantities of milk. what was the initial quantity of milk in container a?
Answer the question using a single word or phrase.

[Assistant] 1216

[User]
the average expenditure of a labourer for 7 months was 85 and he fell into debt. in the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30. his monthly income is
Answer the question using a single word or phrase.

[Assistant] 86.5


[User]
a man leaves a point p at 6 a. m. and reaches the point q at 10 a. m. another man leaves the point give at 8 a. m. and reaches the point p at 12 noon. at what time do they meet?
Answer the question using a single word or phrase.

[Assistant] 9 a. m

[User]
35 % of major airline companies equip their planes with wireless internet access. 70 % of major airlines offer passengers free on - board snacks. what is the greatest possible percentage of major airline companies that offer both wireless internet and free on - board snacks?
Answer the question using a single word or phrase.

[Assistant] 35 %

[User]
the batting average of a particular batsman is 59 runs in 46 innings. if the difference in his highest and lowest score is 150 runs and his average excluding these two innings is 58 runs, find his highest score.
Answer the question using a single word or phrase.

[Assistant] 156

[User]
find the simple interest on $ 3000 for 3 years at 10 % per annum?
Answer the question using a single word or phrase.

[Assistant] $ 900

[User]
if 9 ^ y = 3 ^ 12, what is y?
Answer the question using a single word or phrase.

[Assistant] 6


[User]
during a car trip, maria stopped to rest after she traveled 1 / 2 of the total distance to her destination. she stopped again after she traveled 1 / 4 of the distance remaining between her first stop and her destination, and then she drove the remaining 150 miles to her detination. what was the total distance, in miles from maria's starting point to her destination?
Answer the question using a single word or phrase.

[Assistant] 400

[User]
with a uniform speed a car covers the distance in 8 hours. had the speed been increased by 1 km / hr, the same distance could have been covered in 7 1 / 2 hours. what is the distance covered?
Answer the question using a single word or phrase.

[Assistant] 120 km

[User]
the ratio of the present age of sandy to that of molly is 7 : 2. eight years from now, the ratio of the ages of sandy to molly will be 5 : 2. what was sandy's age 6 years ago?
Answer the question using a single word or phrase.

[Assistant] 36

[User]
the average monthly salary of 8 workers and one supervisor in a factory was 430. @ sswhen @ ssthe @ sssupervisor @ cc @ sswhose @ sssalary @ sswas @ ss 430. @ sswhen @ ssthe @ sssupervisor @ cc @ sswhose @ sssalary @ sswas @ ss 430. whenthesupervisor, whosesalarywas 430. when the supervisor, whose salary was 870 per month, retired, a new person was appointed and then the average salary of 9 people was $ $ 420 per month. the salary of the new supervisor is :
Answer the question using a single word or phrase.

[Assistant] 780

[User]
the average of 6 no.'s is 3.95. the average of 2 of them is 3.6, while the average of the other 2 is 3.85. what is the average of the remaining 2 no's?
Answer the question using a single word or phrase.

[Assistant] 4.4


[User]
two trains 121 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 55 kmph. in what time will they be completely clear of each other from the moment they meet?
Answer the question using a single word or phrase.

[Assistant] 7.62

[User]
24 oz of juice p and 25 oz of juice q are mixed to make smothies x and y. the ratio of p to q in smothie x is 4 is to 1 and that in y is 1 is to 5. how many ounces of juice p are contained in the smothie x?
Answer the question using a single word or phrase.

[Assistant] 20

[User]
a shirt goes on sale for 90 % of its original price. one week later, the sale price is marked down 10 %. the final price is what percent of the original price?
Answer the question using a single word or phrase.

[Assistant] 81 %

[User]
in a certain parking lot, 2 % of the cars are towed for parking illegally. however 80 % 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] 10 %

[User]
the ages of patrick and michael are in the ratio of 3 : 5 and that of michael and monica are in the ratio of 3 : 5. if the sum of their ages is 145, what is the difference between the ages of patrick and monica?
Answer the question using a single word or phrase.

[Assistant] 48


[User]
a is an integer greater than 29 but less than 41, b is an integer greater than 39 but less than 51, what is the range of a / b?
Answer the question using a single word or phrase.

[Assistant] 2 / 5

[User]
in one year, the population, of a village increased by 5 % and in the next year, it decreased by 5 %. if at the end of 2 nd year, the population was 9975, what was it in the beginning?
Answer the question using a single word or phrase.

[Assistant] 10000

[User]
if 2 ^ ( 2 w ) = 8 ^ ( w − 1 ), what is the value of w?
Answer the question using a single word or phrase.

[Assistant] 3

[User]
a person travels equal distances with speeds of 7 km / hr, 8 km / hr and 9 km / hr and takes a total time of 47 minutes. the total distance is?
Answer the question using a single word or phrase.

[Assistant] 6 km

[User]
a leak in the bottom of a tank can empty the full tank in 9 hours. an inlet pipe fills water at the rate of 6 litres a minute. when the tank is full, the inlet is opened and due to the leak, the tank is empty in 12 hours. how many litres does the cistern hold?
Answer the question using a single word or phrase.

[Assistant] 12960


[User]
if k ^ 2 is divisible by 240 what is the least possible value of integer k?
Answer the question using a single word or phrase.

[Assistant] 60

[User]
you enter a weight loss challenge game and manage to lose 11 % of your body weight. for the final weigh in you are forced to wear clothes that add 2 % to your weight. what percentage of weight loss is measured at the final weigh in?
Answer the question using a single word or phrase.

[Assistant] 9.22 %

[User]
in a certain game, a large bag is filled with blue, green, purple and red chips worth 1, 5, x and 11 points each, respectively. the purple chips are worth more than the green chips, but less than the red chips. a certain number of chips are then selected from the bag. if the product of the point values of the selected chips is 2200, how many purple chips were selected?
Answer the question using a single word or phrase.

[Assistant] 1

[User]
solution a is 40 % 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 : 1

[User]
a no. when divided by the sum of 555 and 445 gives 2 times their difference as quotient & 40 as remainder. find the no. is?
Answer the question using a single word or phrase.

[Assistant] 220040


[User]
a, b and c started a business with capitals of rs. 8000, rs. 10000 and rs. 12000 respectively. at the end of the year, the profit share of b is rs. 1500. the difference between the profit shares of a and c is?
Answer the question using a single word or phrase.

[Assistant] 600

[User]
a cement mixture is composed of 3 elements. by weight, 1 / 3 of the mixture is sand, 1 / 2 of the mixture is water, and the remaining 8 pounds of the mixture is gravel. what is the weight of the entire mixture in pounds?
Answer the question using a single word or phrase.

[Assistant] 48

[User]
machine a and machine b are each used to manufacture 330 sprockets. it takes machine a 10 hours longer to produce 330 sprockets than machine b. machine b produces 10 % more sprockets per hour than machine a. how many sprockets per hour does machineaproduce?
Answer the question using a single word or phrase.

[Assistant] 3.3

[User]
albert is 2 times mary ’ s age and 4 times as old as betty. mary is 14 years younger than albert. how old is betty?
Answer the question using a single word or phrase.

[Assistant] 7

[User]
when y is divided by 276, the remainder is 42. what is the remainder when the same y is divided by 23?
Answer the question using a single word or phrase.

[Assistant] 19


[User]
when 200 is divided by positive integer x, the remainder is 2. what is the remainder when 398 is divided by x?
Answer the question using a single word or phrase.

[Assistant] 2

[User]
what quantity of water should taken out to concentrate 12 liters of 40 % acidic liquid to 60 % acidic liquid?
Answer the question using a single word or phrase.

[Assistant] 4 liters

[User]
john had a stock of 700 books in his bookshop. he sold 50 on monday, 82 on tuesday, 60 on wednesday, 48 on thursday and 40 on friday. what percentage of the books were not sold?
Answer the question using a single word or phrase.

[Assistant] 60 %

[User]
if it takes a tub 4 minutes to drain 5 / 7 of its content, how much more time will it take for the tub to be empty?
Answer the question using a single word or phrase.

[Assistant] 1 minute, 36 seconds

[User]
a welder received an order to make a 1 million liter cube - shaped tank. if he has only 4 x 2 meter sheets of metal that can be cut, how many metal sheets will be required for this ordert? ( 1 cubic meter = 1000 liters )
Answer the question using a single word or phrase.

[Assistant] 75


[User]
when a merchant imported a certain item, he paid a 9 percent import tax on the portion of the total value of the item in excess of $ 1,000. if the amount of the import tax that the merchant paid was $ 85.50, what was the total value of the item?
Answer the question using a single word or phrase.

[Assistant] $ 1,950

[User]
how many different 3 - digit multiples of 5 can be composed of digits 2, 7, 4, and 5 if none of the digits is repeated?
Answer the question using a single word or phrase.

[Assistant] 6

[User]
in a class of 38 children, 19 play tennis, 21 play squash and 10 play neither sport. ( 1 ) how many children play both sports?
Answer the question using a single word or phrase.

[Assistant] 12

[User]
a train 440 meters long is running with a speed of 60 kmph. in what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Answer the question using a single word or phrase.

[Assistant] 24 sec

[User]
firm a's revenues are described by the equation ra = 17.12 x and its costs by ca = 12.87 x + 2400. firm b's revenues are described by the equation rb = 13.27 x and its costs by cb = 8.77 x + 1500. ( x denotes the quantity of sales ). if a's volume of sales increases from 1000 to 3000 over the same period that b's volume increases from 2000 to 3000, the percent increase in profits for the firm with the biggest dollar increase in profits is
Answer the question using a single word or phrase.

[Assistant] 30 %


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

[Assistant] 30

[User]
a and b together can do a piece of work in 6 days and a alone can do it in 9 days. in how many days can b alone can do it?
Answer the question using a single word or phrase.

[Assistant] 18 days

[User]
√ 6 percent of 6 √ 6 =
Answer the question using a single word or phrase.

[Assistant] 0.35

[User]
20 binders can bind 1400 books in 21 days. how many binders will be required to bind 1600 books in 20 days?
Answer the question using a single word or phrase.

[Assistant] 24

[User]
a man can do a job in 20 days. his father takes 20 days and his son finishes it in 25 days. how long will they take to complete the job if they all work together?
Answer the question using a single word or phrase.

[Assistant] 7.1


[User]
what will be the vulgar fraction of 0.4
Answer the question using a single word or phrase.

[Assistant] 2 / 5

[User]
in a school 10 % of the boys are same in number as 1 / 4 th of the girls. what is the ratio of boys to the girls in the school?
Answer the question using a single word or phrase.

[Assistant] 5 : 2

[User]
two vessels p and q contain 62.5 % and 87.5 % of alcohol respectively. if 4 litres from vessel p is mixed with 6 litres from vessel q, the ratio of alcohol and water in the resulting mixture is?
Answer the question using a single word or phrase.

[Assistant] 31 : 9

[User]
a number whose fifth part increased by 2 is equal to its fourth part diminished by 2 is?
Answer the question using a single word or phrase.

[Assistant] 80

[User]
if an object travels at four feet per second, how many feet does it travel in one hour?
Answer the question using a single word or phrase.

[Assistant] 14400


[User]
a 230 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] 270 m

[User]
if the average ( arithmetic mean ) of a and b is 45 and the average of b and c is 90, what is the value of c â ˆ ’ a?
Answer the question using a single word or phrase.

[Assistant] 90

[User]
the diagonals of a rhombus are 17 cm and 20 cm. find its area?
Answer the question using a single word or phrase.

[Assistant] 170

[User]
? x 240 = 173 x 240
Answer the question using a single word or phrase.

[Assistant] 173

[User]
at a summer camp with 900 participants, 1 / 2 of the campers are aged 8 to 12. next year, the number of campers aged 8 to 12 will increase by 1 / 3. after this change, what percentage of the total 900 campers will the 8 - to 12 - year - olds represent?
Answer the question using a single word or phrase.

[Assistant] 66 2 / 3 %


[User]
if 3 / p = 6 and 3 / q = 15 then p – q =?
Answer the question using a single word or phrase.

[Assistant] 3 / 10

[User]
light glows for every 13 seconds. how many max. times did it glow between 1 : 57 : 58 and 3 : 20 : 47 am.
Answer the question using a single word or phrase.

[Assistant] 382 times

[User]
in an election, candidate a got 80 % 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] 380800

[User]
what is the square root of 239,121?
Answer the question using a single word or phrase.

[Assistant] 489

[User]
if n = 2 ^ 0.1 and n ^ b = 16, b must equal
Answer the question using a single word or phrase.

[Assistant] 40


[User]
find the perimeter and area of the rectangle of length 11 cm and breadth 7 cm.
Answer the question using a single word or phrase.

[Assistant] 77 cm 2

[User]
the maximum number of students among them 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is :
Answer the question using a single word or phrase.

[Assistant] 91

[User]
a will states that the estate would be divided among 6 sons with the remainder donated to charity. one stipulation in the will is that no one among the sons can receive an amount within 12 % of another's amount. if one of the beneficiaries received $ 30000, what is the smallest possible range between the highest and lowest amounts ( rounded to the nearest dollar ) among the 6 sons?
Answer the question using a single word or phrase.

[Assistant] $ 14043

[User]
calculate 469111 x 9999 =?
Answer the question using a single word or phrase.

[Assistant] 4690640889

[User]
simple interest on a certain sum at a certain annual rate of interest is 1 / 25 of the sum. if the numbers representing rate percent and time in years be equal, then the rate of interest is :
Answer the question using a single word or phrase.

[Assistant] 2 %


[User]
two numbers are in the ratio of 1 : 2. if 9 be added to both, their ratio changes to 3 : 5. the greater number is
Answer the question using a single word or phrase.

[Assistant] 36

[User]
bookman purchased 60 copies of a new book released recently, 10 of which are hardback and sold for $ 20 each, and rest are paperback and sold for $ 10 each. if 14 copies were sold and the total value of the remaining books was 660, how many paperback copies were sold?
Answer the question using a single word or phrase.

[Assistant] 24

[User]
last year manfred received 26 paychecks. each of his first 6 paychecks was $ 760 ; each of his remaining paychecks was $ 30 more than each of his first 6 paychecks. to the nearest dollar, what was the average ( arithmetic mean ) amount of his pay checks for the year?
Answer the question using a single word or phrase.

[Assistant] $ 783

[User]
two men started from the same place walk at the rate of 10 kmph and 12 kmph respectively. what time will they take to be 30 km apart, if they walk in the same direction?
Answer the question using a single word or phrase.

[Assistant] 15 hours

[User]
if a's salary is 20 % less than b's salary, by how much percentage is b's salary more than a's?
Answer the question using a single word or phrase.

[Assistant] 25 %


[User]
what is the 124 th digit to the right of the decimal point in the decimal form of 24 / 44?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
a palindrome is a number that reads the same forward and backward, such as 145. how many odd, 4 - digit numbers are palindromes?
Answer the question using a single word or phrase.

[Assistant] 80

[User]
when n is divided by 25, the remainder is 4. what is the remainder when n + 15 is divided by 5?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
find the 25 % of rs. 500.
Answer the question using a single word or phrase.

[Assistant] s. 125

[User]
what is the average ( arithmetic mean ) of all multiples of 10 from 10 to 200 inclusive?
Answer the question using a single word or phrase.

[Assistant] 105


[User]
the ages of two persons differ by 12 years. if 5 years ago, the elder one be 5 times as old as the younger one, their present ages ( in years ) are respectively
Answer the question using a single word or phrase.

[Assistant] 20,8

[User]
if n is the smallest integer such that 54 times n is the square of an integer, what is the value of n?
Answer the question using a single word or phrase.

[Assistant] 1

[User]
two trains a and b are 150 m and 150 m long and are moving at one another at 54 km / hr and 36 km / hr respectively. arun is sitting on coach b 1 of train a. calculate the time taken by arun to completely cross train b.
Answer the question using a single word or phrase.

[Assistant] 12 s

[User]
if 4 a = 5 b = 30, then 40 ab =
Answer the question using a single word or phrase.

[Assistant] 1800

[User]
if a train, travelling at a speed of 18 kmph, crosses a pole in 5 sec, then the length of train is?
Answer the question using a single word or phrase.

[Assistant] 25 m


[User]
a train speeds past a pole in 15 seconds and a platform 110 meters long in 25 seconds. what is the length of the train?
Answer the question using a single word or phrase.

[Assistant] 165 m

[User]
a train covers a distance at a speed of 150 kmph in 3 hours. to cover the same distance in 1 hours, it must travel at a speed of?
Answer the question using a single word or phrase.

[Assistant] 450

[User]
find the quotient : 0.63 / 9
Answer the question using a single word or phrase.

[Assistant] 0.7

[User]
x, y, and z are different prime numbers. the product x ^ 2 * y * z is divisible by how many different positive numbers?
Answer the question using a single word or phrase.

[Assistant] 12

[User]
a 120 meter long train crosses a man standing on the platform in 6 sec. what is the speed of the train?
Answer the question using a single word or phrase.

[Assistant] 72


[User]
peter takes a loan of $ 100000 with 12 % annual interest : the interest is paid once, at the end of the year. martha takes a loan of $ 100000 with 12 % annual interest, compounding monthly at the end of each month. at the end of one full year, compared to peter's loan interest, approximately how much more does martha have to repay?
Answer the question using a single word or phrase.

[Assistant] $ 682.50

[User]
the price of a jacket is reduced by 25 %. during a special sale the price of the jacket is reduced another 15 %. by approximately what percent must the price of the jacket now be increased in order to restore it to its original amount?
Answer the question using a single word or phrase.

[Assistant] 56.8

[User]
3 numbers are randomly selected, with replacement, from the set of integers { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }. if the first number selected is w, the second number selected is x, and the third number is y, what is the probability that w < x < y?
Answer the question using a single word or phrase.

[Assistant] 3 / 25

[User]
two trains a and b are 200 m and 150 m long and are moving at one another at 54 km / hr and 36 km / hr respectively. arun is sitting on coach b 1 of train a. calculate the time taken by arun to completely cross train b.
Answer the question using a single word or phrase.

[Assistant] 14 s

[User]
if 20 % of a class averages 80 % on a test, 50 % of the class averages 60 % on the test, and the remainder of the class averages 40 % on the test, what is the overall class average?
Answer the question using a single word or phrase.

[Assistant] 58 %


[User]
a man whose bowling average is 12.4, takes 6 wickets for 26 runs and there by decreases his average by 0.4. the number of wickets taken by him before his last match is?
Answer the question using a single word or phrase.

[Assistant] 115

[User]
of the 200 stamps in a collection, 90 are foreign and 70 are more than 10 years old. if 20 stamps are both foreign and more than 10 years old, how many stamps are neither foreign nor more than 10 years old?
Answer the question using a single word or phrase.

[Assistant] 60

[User]
the average age of 20 students in a class is 5 years. if teacher's age is also included then average increases 1 year then find the teacher's age?
Answer the question using a single word or phrase.

[Assistant] 20

[User]
how many zeroes are there at the end of the number n, if n = 80! + 160!?
Answer the question using a single word or phrase.

[Assistant] 19

[User]
the principal that amounts to rs. 4913 in 3 years at 6 1 / 4 % per annum c. i. compounded annually, is?
Answer the question using a single word or phrase.

[Assistant] 4096


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

[Assistant] 45

[User]
if n is a positive integer and the product of all the integers from 1 to n, inclusive, is a multiple of 9, what is the least possible value of n?
Answer the question using a single word or phrase.

[Assistant] 6

[User]
√ 289 - √ 625 ÷ √ 25 is equal to?
Answer the question using a single word or phrase.

[Assistant] 12

[User]
the average ( arithmetic mean ) of all scores on a certain algebra test was 90. if the average of the 8 male students ’ grades was 83, and the average of the female students ’ grades was 92, how many female students took the test?
Answer the question using a single word or phrase.

[Assistant] 28

[User]
what is the compound interest on rs. 9500 at 6 % p. a. compounded half - yearly for 1 1 / 2 years.
Answer the question using a single word or phrase.

[Assistant] 880.91


[User]
a and b ’ s salaries together amount to rs. 4,000. 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] 1000

[User]
the population of a bacteria culture doubles every 6 minutes. approximately how many minutes will it take for the population to grow from 1,000 to 500,000 bacteria
Answer the question using a single word or phrase.

[Assistant] 54

[User]
can you solve it? 2 + 3 = 8, 3 + 7 = 27, 4 + 5 = 32, 5 + 8 = 60, 6 + 7 = 72, 7 + 8 =??
Answer the question using a single word or phrase.

[Assistant] 98

[User]
if the remainder is 10 when positive integer n is divided by 14, what is the remainder when n is divided by 7?
Answer the question using a single word or phrase.

[Assistant] 3

[User]
if x ^ 2 + 1 / x ^ 2 = 2, what is the value of x ^ 4 + 1 / x ^ 4?
Answer the question using a single word or phrase.

[Assistant] 2


[User]
a certain debt will be paid in 52 installments from january 1 to december 31 of a certain year. each of the first 12 payments is to be $ 410 ; each of the remaining payments is to be $ 65 more than each of the first 12 payments. what is the average ( arithmetic mean ) payment that will be made on the debt for the year?
Answer the question using a single word or phrase.

[Assistant] 460

[User]
at what rate percent of simple interest will a sum of money double itself in 22 years?
Answer the question using a single word or phrase.

[Assistant] 4.54 %

[User]
find the missing value :? - 1936248 = 1635773
Answer the question using a single word or phrase.

[Assistant] 3572021

[User]
the tax on a commodity is diminished by 14 % and its consumption increased by 15 %. the effect on revenue is?
Answer the question using a single word or phrase.

[Assistant] 1.1 %

[User]
the sum of the ages of 4 children born at the intervals of 5 years each is 58 years. what is the age of the youngest child?
Answer the question using a single word or phrase.

[Assistant] 7


[User]
in a party every person shakes hands with every other person. if there were a total of 136 handshakes in the party then what is the number of persons present in the party?
Answer the question using a single word or phrase.

[Assistant] 17

[User]
set a consists of all the prime numbers between 12 and 32. what is the range of set a?
Answer the question using a single word or phrase.

[Assistant] 18

[User]
caleb spends $ 74.50 on 50 hamburgers for the marching band. if single burgers cost $ 1.00 each and double burgers cost $ 1.50 each, how many double burgers did he buy?
Answer the question using a single word or phrase.

[Assistant] 49

[User]
the average temperature for monday, tuesday, wednesday and thursday was 48 degrees and for tuesday, wednesday, thursday and friday was 40 degrees. if the temperature on monday was 42 degrees. find the temperature on friday?
Answer the question using a single word or phrase.

[Assistant] 10

[User]
if eight machines working at the same rate can do 3 / 4 of a job in 30 minutes, how many minutes would it take two machines working at the same rate to do 3 / 5 of the job?
Answer the question using a single word or phrase.

[Assistant] 96


[User]
if the sum of the 4 th term and the 12 th term of an arithmetic progression is 8, what is the sum of the first 15 terms of the progression?
Answer the question using a single word or phrase.

[Assistant] 60

[User]
niki covers a distance in 45 min, if she drives at a speed of 60 km / h on an average. find the speed at which she must drive at to reduce the time of the journey by 50 %.
Answer the question using a single word or phrase.

[Assistant] 121.62 kmph

[User]
a man complete a journey in 20 hours. he travels first half of the journey at the rate of 10 km / hr and second half at the rate of 15 km / hr. find the total journey in km.
Answer the question using a single word or phrase.

[Assistant] 240 km

[User]
a satellite is composed of 24 modular units, each of which is equipped with a set of sensors, some of which have been upgraded. each unit contains the same number of non - upgraded sensors. if the number of non - upgraded sensors on one unit is 1 / 4 the total number of upgraded sensors on the entire satellite, what fraction of the sensors on the satellite have been upgraded?
Answer the question using a single word or phrase.

[Assistant] 1 / 7

[User]
20 beavers, working together in a constant pace, can build a dam in 3 hours. how many b hours will it take 12 beavers that work at the same pace, to build the same dam?
Answer the question using a single word or phrase.

[Assistant] b = 5.


[User]
| x + 3 | – | 2 - x | = | 8 + x | how many solutions will this equation have?
Answer the question using a single word or phrase.

[Assistant] 2

[User]
from january 1, 1991, to january 1, 1993, the number of people enrolled in health maintenance organizations increased by 10 percent. the enrollment on january 1, 1993, was 45 million. how many million people, to the nearest million, were enrolled in health maintenance organizations on january 1, 1991?
Answer the question using a single word or phrase.

[Assistant] 41

[User]
if a 2 cm cube is cut into 1 cm cubes, then what is the percentage increase in the surface area of the resulting cubes?
Answer the question using a single word or phrase.

[Assistant] 100 %

[User]
a group of 4 investment bankers and 5 clients recently frequented the bonbon ribs restaurant. the total bill for the meal, including 20 % gratuity, came to $ 756. on average, how much did the meal of each individual cost before gratuity?
Answer the question using a single word or phrase.

[Assistant] $ 70

[User]
a salesman's income consists of a commission and a base salary of $ 370 per week. over the past 5 weeks, his weekly income totals have been $ 406, $ 413, $ 420, $ 436 and $ 395. what must his average ( arithmetic mean ) commission be per week over the next two weeks so that his average weekly income is $ 500 over the 7 - week period?
Answer the question using a single word or phrase.

[Assistant] $ 345


[User]
a car is running at a speed of 60 kmph. what distance will it cover in 8 sec?
Answer the question using a single word or phrase.

[Assistant] 136 m

[User]
without stoppages, a train travels certain distance with an average speed of 300 km / h, and with stoppages, it covers the same distance with an average speed of 200 km / h. how many minutes per hour the train stops?
Answer the question using a single word or phrase.

[Assistant] 20

[User]
a fruit drink is made of grapefruit, lemon, and orange juice, where 25 percent of the drink is grapefruit juice and 35 percent is lemon juice. if the drink is made with 20 ounces of orange juice, how many ounces is the drink total?
Answer the question using a single word or phrase.

[Assistant] 50

[User]
` ` how old are you, alchemerion? ''asked one of the wizards appearances the wizards answer with a riddle, ` ` i am still very young as wizards go. i am only 3 times my son's age. my father is 40 year more than twice of my age. together the 3 of us are a 1240 year old ' '. how old is alchemerion
Answer the question using a single word or phrase.

[Assistant] 360

[User]
in 1998 the profits of company n were 10 percent of revenues. in 1999, the revenues of company n fell by 20 percent, but profits were 16 percent of revenues. the profits in 1999 were what percent of the profits in 1998?
Answer the question using a single word or phrase.

[Assistant] 128 %


[User]
if a person walks at 14 km / hr instead of 10 km / hr, he would have walked 20 km more. the actual distance travelled by him is
Answer the question using a single word or phrase.

[Assistant] 50 km

[User]
at the wholesale store you can buy an 8 - pack of hot dogs for $ 1.55, a 20 - pack for $ 3.05, and a 300 - pack for $ 22.95. what is the greatest number of hot dogs you can buy at this store with $ 200?
Answer the question using a single word or phrase.

[Assistant] 2,500

[User]
find the 25 % of rs. 300.
Answer the question using a single word or phrase.

[Assistant] s. 75

[User]
a reduction of 50 % in the price of apples would enable a man to obtain 50 more for rs. 50, what is reduced price per dozen?
Answer the question using a single word or phrase.

[Assistant] 6

[User]
a 1000 liter tank, half - full of water is being filled from a pipe with a flow rate of 1 kiloliter every 2 minutes. at the same time, the tank is losing water from two drains at a rate of 1 kiloliter every 4 minutes and every 6 minutes. how many minutes does it take to fill the tank completely?
Answer the question using a single word or phrase.

[Assistant] 6


[User]
working simultaneously and independently at an identical constant rate, 4 machines of a certain type can produce a total of x units of product p in 6 days. how many of these machines, working simultaneously and independently at this constant rate, can produce a total of 2 x units of product p in 3 days?
Answer the question using a single word or phrase.

[Assistant] 16

[User]
a bag of potatoes weighs 36 lbs divided by half of its weight. how much does the bag of potatoes weight?
Answer the question using a single word or phrase.

[Assistant] 36 lb

[User]
p, q and r together earn rs. 1800 in 9 days. p and r can earn rs. 600 in 5 days. q and r in 7 days can earn rs. 910. how much amount does r can earn per day?
Answer the question using a single word or phrase.

[Assistant] s. 50

[User]
jackie has two solutions that are 2 percent sulfuric acid and 12 percent sulfuric acid by volume, respectively. if these solutions are mixed in appropriate quantities to produce 60 liters of a solution that is 5 percent sulfuric acid, approximately how many liters of the 2 percent solution will be required?
Answer the question using a single word or phrase.

[Assistant] 42

[User]
in a kilo meter race, if a gives b a 40 m start, a wins by 19 s. but if a gives b a 30 s start, b wins by 40 m. find the time taken by b to run 5,000 m?
Answer the question using a single word or phrase.

[Assistant] 750 s


[User]
0.9999 + 0.1111 =?
Answer the question using a single word or phrase.

[Assistant] 1.111

[User]
exactly 18 % of the reporters for a certain wire service cover local politics in country x. if 40 % of the reporters who cover politics for the wire service do not cover local politics in country x, what percent of the reporters for the wire service do not cover politics?
Answer the question using a single word or phrase.

[Assistant] 70 %

[User]
when 200 is divided by positive integer x, the remainder is 5. what is the remainder when 395 is divided by x?
Answer the question using a single word or phrase.

[Assistant] 5

[User]
xy = 1 then what is ( 7 ^ ( x + y ) ^ 2 ) / ( 7 ^ ( x - y ) ^ 2 )
Answer the question using a single word or phrase.

[Assistant] 2401

[User]
if a ( a + 2 ) = 80 and b ( b + 2 ) = 80, where a ≠ b, then a + b =
Answer the question using a single word or phrase.

[Assistant] - 2


[User]
a train starts full of passengers. at the first station, it drops one - third of the passengers and takes 280 more. at the second station, it drops one - half of the new total and takes 12 more. on arriving at the third station, it is found to have 248 passengers. find the number of passengers in the beginning.
Answer the question using a single word or phrase.

[Assistant] 288

[User]
the credit card and a global payment processing companies have been suffering losses for some time now. a well known company recently announced its quarterly results. according to the results, the revenue fell to $ 52.0 billion from $ 69.0 billion, a year ago. by what percent did the revenue fall?
Answer the question using a single word or phrase.

[Assistant] 24.6

[User]
what will be the compound interest on rs. 35000 after 3 years at the rate of 12 % per annum
Answer the question using a single word or phrase.

[Assistant] rs 14172.48

[User]
in what ratio must wheat at rs. 3.20 pe rkg be mixed with wheat at rs. 2.90 per kg so that the mixture be worth rs. 3.08 per kg
Answer the question using a single word or phrase.

[Assistant] 3 : 2

[User]
a, b and c can do a piece of work in 24 days, 30 days and 40 days respectively. they began the work together but c left 10 days before the completion of the work. in how many days was the work completed?
Answer the question using a single word or phrase.

[Assistant] 12.5 days


[User]
if a 2 + b 2 + c 2 = 213 and ab + bc + ca = 6, then a + b + c is
Answer the question using a single word or phrase.

[Assistant] 15

[User]
if a - b = 6 and a 2 + b 2 = 48, find the value of ab.
Answer the question using a single word or phrase.

[Assistant] 6

[User]
a certain article of clothing was discounted during a special sale to 2 / 5 of its original retail price. when the clothing did n't sell, it was discounted even further to 1 / 2 of its original retail price during a second sale. by what percent did the price of this article of clothing decrease from the first sale to the second sale?
Answer the question using a single word or phrase.

[Assistant] 16.66 %

[User]
a committee is reviewing a total of 30 x black - and - white films and 6 y color films for a festival. if the committee selects y / x % of the black - and - white films and all of the color films, what fraction of the selected films are in color?
Answer the question using a single word or phrase.

[Assistant] 20 / 21

[User]
after paying a 10 percent tax on all income over $ 3000, a person had a net income of $ 12000. what was the income before taxes?
Answer the question using a single word or phrase.

[Assistant] $ 13000


[User]
sam invested rs. 8000 @ 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] 8820.0

[User]
half a number plus 5 is 11. what is the number?
Answer the question using a single word or phrase.

[Assistant] 12

[User]
a can complete a certain job in 19 days. b is 90 % more efficient than a. in how many days can b complete the same job?
Answer the question using a single word or phrase.

[Assistant] 10

[User]
if 20 men can build a water fountain 56 metres long in 7 days, what length of a similar water fountain can be built by 35 men in 3 days?
Answer the question using a single word or phrase.

[Assistant] 42 m

[User]
jaime earned enough money by selling seashells at 20 cents each to buy several used paperback books at 55 cents each. if he spent all of the money he earned selling seashells to buy the books, what is the least number of seashells he could have sold?
Answer the question using a single word or phrase.

[Assistant] 22


[User]
a set s = { x, - 8, - 5, - 3, 3, 6, 9, y } with elements arranged in increasing order. if the median and the mean of the set are the same, what is the value of | x | - | y |?
Answer the question using a single word or phrase.

[Assistant] 2

[User]
the market value of a certain machine decreased by 30 percent of its purchase price each year. if the machine was purchased in 1982 for its market value of $ 10,000, what was its market value two years later?
Answer the question using a single word or phrase.

[Assistant] $ 4,000

[User]
the value of log 2 16 is
Answer the question using a single word or phrase.

[Assistant] 4

[User]
dividing by 3 ⁄ 7 and then multiplying by 5 ⁄ 6 is the same as dividing by what number?
Answer the question using a single word or phrase.

[Assistant] 35 ⁄ 18

[User]
the ratio of investments of two partners p and q is 7 : 5 and the ratio of their profits is 7 : 13. if p invested the money for 5 months, find for how much time did q invest the money?
Answer the question using a single word or phrase.

[Assistant] 13


[User]
excluding stoppages, the speed of a bus is 50 kmph and including stoppages, it is 45 kmph. for how many minutes does the bus stop per hour?
Answer the question using a single word or phrase.

[Assistant] 6 min

[User]
by selling 16 pencils for a rupee a man loses 20 %. how many for a rupee should he sell in order to gain 20 %?
Answer the question using a single word or phrase.

[Assistant] 24

[User]
the ratio of spinsters to cats is 2 to 9. if there are 42 more cats than spinsters, how many spinsters are there?
Answer the question using a single word or phrase.

[Assistant] 12

[User]
find the smallest number in a gp whose sum is 38 and product 1728
Answer the question using a single word or phrase.

[Assistant] 8

[User]
what no. should be subtracted from x ^ 3 + 4 x 2 − 7 x + 12 x ^ 3 + 4 x ^ 2 − 7 x + 12, if it is to be perfectly divisible by x + 3 x + 3?
Answer the question using a single word or phrase.

[Assistant] 42


[User]
76 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] 33.25

[User]
in a division sum, the quotient is 40, the divisor 72 and the remainder 64, find the dividend?
Answer the question using a single word or phrase.

[Assistant] 2944

[User]
a store sells chairs and tables. if the price of 3 chairs and 1 table is 60 % of the price of 1 chair and 3 tables, and the price of 1 table and 1 chair is $ 80, what is the price, in dollars, of 1 table? ( assume that every chair has the same price and every table has the same price. )
Answer the question using a single word or phrase.

[Assistant] 60

[User]
the probability that a man will be alive for 10 more yrs is 1 / 4 & the probability that his wife will alive for 10 more yrs is 1 / 3. the probability that none of them will be alive for 10 more yrs, is
Answer the question using a single word or phrase.

[Assistant] 1 / 2

[User]
how many positive even integers less than 100 contain digits 4 or 7?
Answer the question using a single word or phrase.

[Assistant] 18


[User]
a car traveled from san diego to san francisco at an average speed of 48 miles per hour. if the journey back took twice as long, what was the average speed of the trip?
Answer the question using a single word or phrase.

[Assistant] 32.

[User]
amount of bacteria present time amount 1 : 00 p. m. 8.0 grams 4 : 00 p. m. x grams 7 : 00 p. m. 12.4 grams data for a certain biology experiment are given in the table above. if the amount of bacteria present increased by the same fraction during each of the two 3 - hour periods shown, how many grams of bacteria were present at 4 : 00 p. m.?
Answer the question using a single word or phrase.

[Assistant] 10.0

[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

[User]
i bought two books ; for rs. 300. i sold one at a loss of 15 % and other at a gain of 19 % and then i found each book was sold at the same price. find the cost of the book sold at a loss?
Answer the question using a single word or phrase.

[Assistant] 175

[User]
p works 25 % more efficiently than q and q works 50 % more efficiently than r. to complete a certain project, p alone takes 50 days less than q alone. if, in this project p alone works for 60 days and then q alone works for 130 days, in how many days can r alone complete the remaining work?
Answer the question using a single word or phrase.

[Assistant] 83.6 days


[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 15 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] 450.

[User]
for any integer p, * p is equal to the product of all the integers between 1 and p, inclusive. how many prime numbers are there between * 8 + 3 and * 8 + 8, inclusive?
Answer the question using a single word or phrase.

[User]
the surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 12 cm each. the radius of the sphere is :
Answer the question using a single word or phrase.

[Assistant] 6 cm

[User]
during the first week of performances of a certain play, 5400 tickets were sold, all at reduced price. during the remaining weeks of performances, 5 times as many tickets were sold at full price as were sold at reduced price. if the total number of tickets e sold was 25200, how many of them were sold at full price?
Answer the question using a single word or phrase.

[Assistant] 16500

[User]
a cricket bat is sold for $ 900, making a profit of $ 100. the profit percentage would be
Answer the question using a single word or phrase.

[Assistant] 12.5 %


[User]
a train passes a man standing on a platform in 8 seconds and also crosses the platform which is 279 metres long in 20 seconds. the length of the train ( in metres ) is :
Answer the question using a single word or phrase.

[Assistant] 186

[User]
mary's income is 60 % more than tim's income and tim's income is 10 % less than juan's income. what % of juan's income is mary's income.
Answer the question using a single word or phrase.

[Assistant] 144 %

[User]
let s be the set of all positive integers that, when divided by 8, have a remainder of 5. what is the 75 th number in this set?
Answer the question using a single word or phrase.

[Assistant] 597

[User]
a particular library has 75 books in a special collection, all of which were in the library at the beginning of the month. these book are occasionally loaned out through an inter - library program. if, by the end of the month, 65 percent of books that were loaned out are returned and there are 54 books in the special collection at that time, how many books of the special collection were loaned out during that month?
Answer the question using a single word or phrase.

[Assistant] 60

[User]
rs. 1500 is divided into two parts such that if one part is invested at 6 % and the other at 5 % the whole annual interest from both the sum is rs. 86. how much was lent at 5 %?
Answer the question using a single word or phrase.

[Assistant] 400


[User]
what is the smallest no. that should be added to 236 to make it exactly divisible by 9?
Answer the question using a single word or phrase.

[Assistant] 7

[User]
each of the positive integers a, b, and c is a 3 - digit integer. if each of the digits 1 through 9 appears in one of these 3 integers, what is the maximum possible value of the sum of a, b, and c?
Answer the question using a single word or phrase.

[Assistant] 2256

[User]
the profits of qrs company rose 50 % from march to april, then dropped 20 % from april to may, then rose 50 % from may to june. what was the percent increase for the whole quarter, from march to june?
Answer the question using a single word or phrase.

[Assistant] 80 %

[User]
a certain bag contains 100 balls â € ” 20 white, 30 green, 10 yellow, 37 red, and 3 purple. if a ball is to be chosen at random, what is the probability that the ball will be neither red nor purple?
Answer the question using a single word or phrase.

[Assistant] 0.6

[User]
what is the next number : 2, 17, 257, __
Answer the question using a single word or phrase.

[Assistant] 4097


[User]
calculate the effect changes in dimension of a rectangle will have on its area, if length is increased by 15 % and its breadth is decreased by 10 %?
Answer the question using a single word or phrase.

[Assistant] 3.5 percent increase

[User]
in order to obtain an income of rs. 450 from 10 % stock at rs. 108, one must make an investment of
Answer the question using a single word or phrase.

[Assistant] 4860

[User]
in a ratio which is equal to 4 : 6, if the antecedent is 20, then the consequent is?
Answer the question using a single word or phrase.

[Assistant] 30

[User]
the area of a rectangular plot is 20 times its breadth. if the difference between the length and the breadth is 10 metres, what is its breadth?
Answer the question using a single word or phrase.

[Assistant] 10 metres

[User]
78654 * 9999
Answer the question using a single word or phrase.

[Assistant] 786461346


[User]
the weight of a glass of jar is 40 % of the weight of the jar filled with coffee beans. after some of the beans have been removed, the weight of the jar and the remaining beans is 60 % of the original total weight. what fraction part of the beans remain in the jar?
Answer the question using a single word or phrase.

[Assistant] 1 / 3

[User]
one - third of rahul's savings in national savings certificate is equal to one - half of his savings in public provident fund. if he has rs. 1, 75,000 as total savings, how much has he saved in public provident fund?
Answer the question using a single word or phrase.

[Assistant] 70000

[User]
how many positive integers less than 120 are there such that they are multiples of 13 or multiples of 12 but not both?
Answer the question using a single word or phrase.

[Assistant] 19

[User]
if the operation € is defined for all x and y by the equation x € y = 2 * x * y, then 9 € ( 4 € 5 ) =
Answer the question using a single word or phrase.

[Assistant] 720

[User]
jack and jill are marathon runners. jack can finish a marathon ( 43 km ) in 4.5 hours and jill can run a marathon in 4.3 hours. what is the ratio of their average running speed? ( jack : jill )
Answer the question using a single word or phrase.

[Assistant] 43 / 45


[User]
the sum of two numbers is 528 and their h. c. f is 33. the number of pairs of numbers satisfying the above conditions is :
Answer the question using a single word or phrase.

[Assistant] 4

[User]
what is the last digit in ( 7 ^ 95 - 3 ^ 58 )?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
how many cuboids of length 5 m, width 4 m and height 3 m can be farmed from a cuboid of 16 m length, 10 m width and 12 m height.
Answer the question using a single word or phrase.

[Assistant] 32

[User]
one night 10 percent of the female officers on a police force were on duty. if 200 officers were on duty that night and half of these were female officers, how many female officers were on the police force?
Answer the question using a single word or phrase.

[Assistant] 1,000

[User]
a furniture dealer purchased a desk for $ 140 and then set the selling price equal to the purchase price plus a markup that was 30 % of the selling price. if the dealer sold the desk at the selling price, what was the amount of the dealer's gross profit from the purchase and the sale of the desk?
Answer the question using a single word or phrase.

[Assistant] $ 60


[User]
find 96 × × 97
Answer the question using a single word or phrase.

[Assistant] 91 / 12

[User]
of 3 numbers, the third is twice the first and the second is 4 times the first. if their average is 77, the smallest of the 3 numbers is :
Answer the question using a single word or phrase.

[Assistant] 33

[User]
the slant height of a cone is 21 cm and radius of the base is 10 cm, find the curved surface of the cone.
Answer the question using a single word or phrase.

[Assistant] 660

[User]
a store reported total sales of $ 400 million for february of this year. if the total sales for the same month last year was $ 320 million, approximately what was the percent increase in sales?
Answer the question using a single word or phrase.

[Assistant] 25 %

[User]
two interconnected, circular gears travel at the same circumferential rate. if gear a has a diameter of 20 centimeters and gear b has a diameter of 50 centimeters, what is the ratio of the number of revolutions that gear a makes per minute to the number of revolutions that gear b makes per minute?
Answer the question using a single word or phrase.

[Assistant] 5 : 2


[User]
in a company, 56 percent of the employees are men. if 60 percent of the employees are unionized and 70 percent of these are men, what percent of the non - union employees are women?
Answer the question using a single word or phrase.

[Assistant] 65 %

[User]
in assembling a bluetooth device, a factory uses one of two kinds of modules. one module costs $ 15 and the other one, that is cheaper, costs $ 10. the factory holds a $ 140 worth stock of 13 modules. how many of the modules in the stock are of the cheaper kind?
Answer the question using a single word or phrase.

[Assistant] 11

[User]
in a two digit number it is known that its unit's digit exceeds its 10's digit by 4 and that the product of the given number and the sum of its digits is equal to 208, what is the number?
Answer the question using a single word or phrase.

[Assistant] 26

[User]
if a fills a tank in 30 mins, and b fills the same tank in 20 mins, and c emptys it in 40 min, if a, b, c works together how much time will the tank take to fill?
Answer the question using a single word or phrase.

[Assistant] 17.14 mins

[User]
an article is bought for rs. 560 and sold for rs. 340, find the loss percent?
Answer the question using a single word or phrase.

[Assistant] 39 %


[User]
jennifer had $ 180 to spend on herself. she spent 1 / 5 of the money on a sandwich, 1 / 6 for a ticket to a museum, and 1 / 2 of it on a book. how much money does jennifer have left over?
Answer the question using a single word or phrase.

[Assistant] $ 24

[User]
a certain car traveled twice as many miles from town a to town b as it did from town b to town c. from town a to town b, the car averaged 12 miles per gallon, and from town b to town c, the car averaged 16 miles per gallon. what is the average miles per gallon that the car achieved on its trip from town a through town b to town c?
Answer the question using a single word or phrase.

[Assistant] 14.4

[User]
the greater of two numbers is twice the less, and the sum of the numbers is 96. what are the numbers?
Answer the question using a single word or phrase.

[Assistant] 64

[User]
pipe p can fill a tank in 3 hours, pipe q in 9 hours and pipe r in 24 hours. if all the pipes are open, in how many hours will the tank be filled?
Answer the question using a single word or phrase.

[Assistant] 2.1 hours

[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 8 km in stationary water?
Answer the question using a single word or phrase.

[Assistant] 2 hours


[User]
one woman and one man can build a wall together in five hours, but the woman would need the help of two girls in order to complete the same job in the same amount of time. if one man and one girl worked together, it would take them nine hours to build the wall. assuming that rates for men, women and girls remain constant, how many hours would it take one woman, one man, and one girl, working together, to build the wall?
Answer the question using a single word or phrase.

[Assistant] 135 / 32

[User]
a trader sells 40 metres of cloth for rs. 8200 at a profit of rs. 35 per metre of cloth. how much profit will the trder earn on 40 metres of cloth?
Answer the question using a single word or phrase.

[Assistant] rs. 1400

[User]
a reduction of 25 % in the price of apples would enable a man to obtain 36 more for rs. 25, what is reduced price per dozen?
Answer the question using a single word or phrase.

[Assistant] 2

[User]
the ratio between the present age of p and q is 6 : 7. if q is 4 years old than p, what will be the ratio of the ages of p and q after 4 years?
Answer the question using a single word or phrase.

[Assistant] 8 : 7

[User]
what is the greatest value of positive integer x such that 2 ^ x is a factor of 100 ^ 60?
Answer the question using a single word or phrase.

[Assistant] 120


[User]
if both 5 ^ 3 and 3 ^ 3 are factors of n x ( 2 ^ 5 ) x ( 12 ^ 2 ) x ( 7 ^ 3 ) x ( 10 ^ 2 ), what is the smallest possible positive value of n?
Answer the question using a single word or phrase.

[Assistant] 15

[User]
in one hour, a boat goes 8 km along the stream and 2 km against the stream. the speed of the boat in still water ( in km / hr ) is :
Answer the question using a single word or phrase.

[Assistant] 5

[User]
the sale price sarees listed for rs. 200 after successive discount is 20 % and 10 % is?
Answer the question using a single word or phrase.

[Assistant] 144

[User]
sandy is younger than molly by 20 years. if the ratio of their ages is 7 : 9, how old is sandy?
Answer the question using a single word or phrase.

[Assistant] 70

[User]
5 times a number equals one 100. the number is
Answer the question using a single word or phrase.

[Assistant] 20


[User]
in some quantity of ghee, 50 % is pure ghee and 50 % is vanaspati. if 20 kg of pure ghee is added, then the strength of vanaspati ghee becomes 30 %. the original quantity was?
Answer the question using a single word or phrase.

[Assistant] 30

[User]
the roof of an apartment building is rectangular and its length is 4 times longer than its width. if the area of the roof is 1024 feet squared, what is the difference between the length and the width of the roof?
Answer the question using a single word or phrase.

[Assistant] 48.

[User]
at what price must an article costing rs. 38 be marked in order that after deducting 5 % 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] 50

[User]
if the given two numbers are respectively 6 % and 18 % of a third number, then what percentage is the first of the second?
Answer the question using a single word or phrase.

[Assistant] 33 1 / 3 %

[User]
a 4 % stock yield 5 %. the market value of the stock is?
Answer the question using a single word or phrase.

[Assistant] rs. 80


[User]
a train is 288 meter long is running at a speed of 29 km / hour. in what time will it pass a bridge of 101 meter length?
Answer the question using a single word or phrase.

[Assistant] 48.29

[User]
rani bought more apples than oranges. she sells apples at ₹ 23 apiece and makes 15 % profit. she sells oranges at ₹ 10 apiece and makes 25 % profit. if she gets ₹ 653 after selling all the apples and oranges, find her profit percentage c.
Answer the question using a single word or phrase.

[Assistant] 17.4 %

[User]
john had a stock of 1100 books in his bookshop. he sold 75 on monday, 50 on tuesday, 64 on wednesday, 78 on thursday and 135 on friday. what percentage of the books were not sold?
Answer the question using a single word or phrase.

[Assistant] 63.4 %

[User]
in the third grade of windblown school there are 108 students, one third of them failed the math test and 1 / 6 failed that literature test. at least how many students failed both tests?
Answer the question using a single word or phrase.

[Assistant] 0.

[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]
in a certificate by mistake a candidate gave his height as 10 % more than actual height. in the interview panel, he clarified that his height was 5 feet 5 nches. find the % correction made by the candidate from his stated height to his actual height?
Answer the question using a single word or phrase.

[Assistant] 6.5

[User]
rs. 900 becomes rs. 956 in 3 years at a certain rate of simple interest. if the rate of interest is increased by 4 %, what amount will rs. 900 become in 3 years?
Answer the question using a single word or phrase.

[Assistant] rs. 1064

[User]
if the population of a certain country increases at the rate of one person every 20 seconds, by how many persons does the population increase in 30 minutes?
Answer the question using a single word or phrase.

[Assistant] 90

[User]
jake took a bus from home to market, that travels at 10 kmph. while walking back at 2 kmph, halfway through, he suddenly realized he was getting late and he cycled back the remaining distance in 50 kmph. find the average speed.
Answer the question using a single word or phrase.

[Assistant] 1.67 kmph

[User]
a survey reveals that the average income of a company ’ s customers is $ 45000 per year. if 50 customers respond to the survey and the average income of the wealthiest 10 of those customers is $ 55000, what is the average income of the other 40 customers? is there a way to solve this using weighted average concept instead of doing tedious calculations?
Answer the question using a single word or phrase.

[Assistant] $ 42,500


[User]
hcf of two numbers is 11 and the product of these numbers is 363, what is the the greater number?
Answer the question using a single word or phrase.

[Assistant] 33

[User]
if n divided by 7 has a remainder of 2, what is the remainder when 4 times n is divided by 7?
Answer the question using a single word or phrase.

[Assistant] 1

[User]
running at the same rate, 8 identical machines can produce 560 paperclips a minute. at this rate, how many paperclips could 12 machines produce in 6 minutes?
Answer the question using a single word or phrase.

[Assistant] 5040

[User]
if 8 workers can build 8 cars in 8 days, then how many days would it take 5 workers to build 5 cars?
Answer the question using a single word or phrase.

[Assistant] 8

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

[Assistant] 441


[User]
how many times digit 6 is used while writing numbers from 100 to 1400?
Answer the question using a single word or phrase.

[Assistant] 350

[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 25 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] 300.

[User]
the sum of the non - prime numbers between 40 and 50, non - inclusive, is
Answer the question using a single word or phrase.

[Assistant] 274

[User]
fresh grapes contain 90 % by weight while dried grapes contain 20 % water by weight. what is the weight of dry grapes available from 20 kg of fresh grapes?
Answer the question using a single word or phrase.

[Assistant] 2.5 kg

[User]
there are 9 players in a chess group, and each player plays each of the others once. given that each game is played by two players, how many total games will be played?
Answer the question using a single word or phrase.

[Assistant] 36


[User]
in order to obtain an income of rs. 680 from 10 % stock at rs. 120, one must make an investment of
Answer the question using a single word or phrase.

[Assistant] 8160

[User]
in a party every person shakes hands with every other person. if there are 105 hands shakes, find the number of person in the party
Answer the question using a single word or phrase.

[Assistant] 15

[User]
the price of stock decreased by 8 % last year and rose by 10 % this year. what is the net percentage change in the price of the stock?
Answer the question using a single word or phrase.

[Assistant] 1.2 %

[User]
two men and three women working 7 hours a day finish a work in 5 days. four men and four women working 3 hours a day complete the work in 7 days. the number of days in which only 7 men working 4 hours a day will finish the work is?
Answer the question using a single word or phrase.

[Assistant] 5 days

[User]
a train is running at a speed of 40 km / hr and it crosses a post in 19.8 seconds. what is the length of the train?
Answer the question using a single word or phrase.

[Assistant] 220 metres


[User]
the average age of 20 persons in a office is 15 years. out of these, the average age of 5 of them is 14 years and that of the other 9 persons is 16 years. the age of the 15 th person is?
Answer the question using a single word or phrase.

[Assistant] 86

[User]
in a rectangular coordinate system, what is the area of a rectangle whose vertices have the coordinates ( - 8, 1 ), ( 1, 1 ), ( 1, - 7 and ( - 8, - 7 )?
Answer the question using a single word or phrase.

[Assistant] 72

[User]
on a certain farm the ratio of horses to cows is 6 : 1. if the farm were to sell 15 horses and buy 15 cows, the ratio of horses to cows would then be 3 : 1. after the transaction, how many more horses than cows would the farm own?
Answer the question using a single word or phrase.

[Assistant] 70

[User]
if a * b * c = 195, b * c * d = 65, c * d * e = 1000 and d * e * f = 250 the ( a * f ) / ( c * d ) =?
Answer the question using a single word or phrase.

[Assistant] 3 / 4

[User]
a circular well with a diameter of 2 metres, is dug to a depth of 4 metres. what is the volume of the earth dug out?
Answer the question using a single word or phrase.

[Assistant] 44 m ³