[User]
45 girls and 60 boys are present at a party. there are 17 girl - boy are in relationship among them. if a girl and a boy is selected at random, what is the probability that they will be not a couple?
Answer the question using a single word or phrase.

[Assistant] 2683 / 2700

[User]
if p ( a ) = 2 / 15, p ( b ) = 4 / 15, and p ( a â ˆ ª b ) = 11 / 15 find p ( a | b )
Answer the question using a single word or phrase.

[Assistant] 11 / 4

[User]
how long does a train 110 m long running at the speed of 72 km / hr takes to cross a bridge 134 m length?
Answer the question using a single word or phrase.

[Assistant] 12.2 sec

[User]
what percent is 70 of 280?
Answer the question using a single word or phrase.

[Assistant] 25 %

[User]
ifaequals the sum of the even integers from 2 to 40, inclusive, andbequals the sum of the odd integers from 1 to 39, inclusive, what is the value of a - b?
Answer the question using a single word or phrase.

[Assistant] 20


[User]
a train running at the speed of 90 km / hr crosses a pole in 12 seconds. find the length of the train?
Answer the question using a single word or phrase.

[Assistant] 300

[User]
two cars, car 1 and car 2 move towards each other from e and y respectively with respective speeds of 20 m / s and 15 m / s. after meeting each other car 1 reaches y in 10 seconds. in how many seconds does car 2 reach e starting from y?
Answer the question using a single word or phrase.

[Assistant] 31.11 sec

[User]
how many two - digit whole numbers yield a remainder of 3 when divided by 10 and also yield a remainder of 3 when divided by 4? options :
Answer the question using a single word or phrase.

[Assistant] four

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

[Assistant] 7

[User]
from the beginning to the end of 2007, the price of a stock rose 20 percent. in 2008, it dropped 25 percent. in 2009, it rose 30 percent. what percent of the stock â € ™ s 2007 starting price was the price of the stock at the end of 2009?
Answer the question using a single word or phrase.

[Assistant] 117


[User]
a rectangular tiled patio is composed of 40 square tiles. the rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles. after the change in layout, the patio will still have 40 tiles, and it will still be rectangular. how many rows are in the tile patio before the change in layout?
Answer the question using a single word or phrase.

[Assistant] 6

[User]
set s consists of integers { 6, 7, 10, 12, 15 }. if integer n is included in the set, the average ( arithmetic mean ) of set s will increase by 40 %. what is the value of integer n?
Answer the question using a single word or phrase.

[Assistant] 34

[User]
a girl was asked to multiply a certain number by 43. she multiplied it by 34 and got his answer less than the correct one by 1224. find the number to be multiplied.
Answer the question using a single word or phrase.

[Assistant] 136

[User]
what will be the difference between simple and compound interest @ 20 % per annum on a sum of $ 500 after 2 years?
Answer the question using a single word or phrase.

[Assistant] $ 20

[User]
martins made a part payment of $ 650 toward buying a brand new washing machine, which represents 15 % of the total cost of the washing machine, how much remains to be paid?
Answer the question using a single word or phrase.

[Assistant] $ 3683.3


[User]
a small, rectangular park has a perimeter of 560 feet and a diagonal measurement of 300 feet. what is its area, in square feet?
Answer the question using a single word or phrase.

[Assistant] 43,200

[User]
in the storage room of a certain bakery, the ratio of sugar to flour is 5 to 6, and the ratio of flour to baking soda is 10 to 1. if there were 60 more pounds of baking soda in the room, the ratio of flour to baking soda would be 8 to 1. how many pounds of sugar are stored in the room?
Answer the question using a single word or phrase.

[Assistant] 2000

[User]
the h. c. f of two numbers is 19 and their l. c. m is 4263. if one of the numbers is 399, then the other is?
Answer the question using a single word or phrase.

[Assistant] 203

[User]
in a restaurant, the profit is 110 % of the cost. if the cost increases by 12 % but the selling price remains constant, approximately what percentage of the selling price is the profit?
Answer the question using a single word or phrase.

[Assistant] 47 %

[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 3 / 4 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] 16 / 25


[User]
walking 6 / 5 of his usual rate, a boy reaches his school 4 min early. find his usual time to reach the school?
Answer the question using a single word or phrase.

[Assistant] 24

[User]
how many seconds will a 500 m long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 66 km / hr?
Answer the question using a single word or phrase.

[Assistant] 29

[User]
what number times ( 1 ⁄ 4 ) ^ 2 will give the value of 4 ^ 3?
Answer the question using a single word or phrase.

[Assistant] 1024

[User]
a vendor bought toffees at 6 for a rupee. how many for a rupee must he sell to gain 25 %?
Answer the question using a single word or phrase.

[Assistant] 9

[User]
one night 19 percent of the female officers on a police force were on duty. if 152 police 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] 400


[User]
a car ferry can hold up to 70 tons of cargo. what is the greatest number of vehicles that the ferry can carry if half the vehicles are cars with an average ( arithmetic mean ) weight of 0.75 tons and half of the vehicles are trucks with an average ( arithmetic mean ) weight of 6 tons?
Answer the question using a single word or phrase.

[Assistant] 20

[User]
a train passes a platform in 35 seconds. the same train passes a man standing on the platform in 20 seconds. if the speed of the train is 54 km / hr, the length of the platform is
Answer the question using a single word or phrase.

[Assistant] 225 meter

[User]
a grocer has 400 pounds of coffee in stock, 20 percent of which is decaffeinated. if the grocer buys another 100 pounds of coffee of which 50 percent is decaffeinated, what percent, by weight, of the grocer ’ s stock of coffee is decaffeinated?
Answer the question using a single word or phrase.

[Assistant] 26 %

[User]
praveen starts business with rs. 3220 and after 5 months, hari joins with praveen as his partner. after a year, the profit is divided in the ratio 2 : 3. what is hari ’ s contribution in the capital?
Answer the question using a single word or phrase.

[Assistant] s. 8280

[User]
how many integers from 22 to 160, inclusive, are divisible by 3 but not divisible by 7?
Answer the question using a single word or phrase.

[Assistant] 40


[User]
8 identical machines, working alone and at their constant rates, take 6 hours to complete a job lot. how long would it take for 4 such machines to perform the same job?
Answer the question using a single word or phrase.

[Assistant] 12 hours

[User]
a candidate got 35 % of the votes and lost to the rival by 2100 votes. how many votes were cast?
Answer the question using a single word or phrase.

[Assistant] 7000

[User]
what is the square root of 81, divided by 3?
Answer the question using a single word or phrase.

[Assistant] 3

[User]
the mean of 30 values was 250. it was detected on rechecking that one value 165 was wrongly copied as 135 for the computation of the mean. find the correct mean.
Answer the question using a single word or phrase.

[Assistant] 251

[User]
a cyclist rides a bicycle 9 km at an average speed of 11 km / hr and again travels 11 km at an average speed of 9 km / hr. what is the average speed for the entire trip?
Answer the question using a single word or phrase.

[Assistant] 9.8


[User]
a man can row upstream at 26 kmph and downstream at 30 kmph, and then find the speed of the man in still water?
Answer the question using a single word or phrase.

[Assistant] 28

[User]
in a group of 60 people, 35 have visited iceland and 23 have visited norway. if 31 people have visited both iceland and norway, how many people have visited neither country?
Answer the question using a single word or phrase.

[Assistant] 33

[User]
a reduction of 5 % in the price of oil enables a house wife to obtain 10 kgs more for rs. 5000, what is the reduced price for kg?
Answer the question using a single word or phrase.

[Assistant] 25

[User]
if a 2 - b 2 = 10 and a * b = 8, find a 4 + b 4.
Answer the question using a single word or phrase.

[Assistant] 228

[User]
find the sum of first 80 odd numbers
Answer the question using a single word or phrase.

[Assistant] 6400


[User]
of 58 players on a cricket team, 37 are throwers. the rest of the team is divided so one third are left - handed and the rest are right handed. assuming that all throwers are right handed, how many right - handed players are there total?
Answer the question using a single word or phrase.

[Assistant] 51

[User]
the amount of principal rs. 8000 at compound interest at the ratio of 5 % p. a. for 6 years is
Answer the question using a single word or phrase.

[Assistant] s. 10721

[User]
angelo and isabella are both salespersons. in any given week, angelo makes $ 590 in base salary plus 8 percent of the portion of his sales above $ 1,000 for that week. isabella makes 10 percent of her total sales for any given week. for what amount of weekly sales would angelo and isabella earn the same amount of money?
Answer the question using a single word or phrase.

[Assistant] 25,500

[User]
the product of the squares of two positive integers is 1600. how many pairs of positive integers satisfy this condition?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
what percent is 20 % of 25 %?
Answer the question using a single word or phrase.

[Assistant] 80 %


[User]
walking at 40 % of his usual speed a man takes 24 minutes more to cover a distance. what is his usual time to cover this distance?
Answer the question using a single word or phrase.

[Assistant] 16

[User]
there are 660 male and female participants in a meeting. half the female participants and one - quarter of the male participants are democrats. one - third of all the participants are democrats. how many of the democrats are female?
Answer the question using a single word or phrase.

[Assistant] 110

[User]
the speed of a train is 70 kmph. what is the distance covered by it in 10 minutes?
Answer the question using a single word or phrase.

[Assistant] 11.66 kmph

[User]
if the operation @ is defined for all a and b by the equation a @ b = ( a ^ b ) / 2, then ( 3 @ 2 ) =?
Answer the question using a single word or phrase.

[Assistant] 9 / 2

[User]
a boat can travel with a speed of 10 km / hr in still water. if the speed of the stream is 8 km / hr, find the time taken by the boat to go 54 km downstream.
Answer the question using a single word or phrase.

[Assistant] 3 hr


[User]
there is enough provisions for 9600 women in an army camp for 400 days. if there were 4800 men less, how long will the provision last?
Answer the question using a single word or phrase.

[Assistant] 800

[User]
if a * b * c = ( √ ( a + 2 ) ( b + 3 ) ) / ( c + 1 ), find the value of 6 * 15 * 3.
Answer the question using a single word or phrase.

[Assistant] 3

[User]
shannon and maxine work in the same building and leave work at the same time. shannon lives due north of work and maxine lives due south. the distance between maxine's house and shannon's house is 60 miles. if they both drive home at the rate 2 r miles per hour, maxine arrives home 60 minutes after shannon. if maxine rider her bike home at the rate of r per hour and shannon still drives at a rate of 2 r miles per hour, shannon arrives home 2 hours before maxine. how far does maxine live from work?
Answer the question using a single word or phrase.

[Assistant] 48

[User]
a and b began business with rs. 6000 and rs. 4000 after 8 months, a withdraws rs. 1000 and b advances rs. 1000 more. at the end of the year, their profits amounted to rs. 630 find the share of a.
Answer the question using a single word or phrase.

[Assistant] 357

[User]
a, b and c rents a pasture for rs. 950. a put in 12 horses for 8 months, b 16 horses for 9 months and 18 horses for 6 months. how much should c pay?
Answer the question using a single word or phrase.

[Assistant] 295


[User]
in what ratio p : q should the mixture p of milk and water in the ratio of 2 : 1 be mixed with another mixture q of milk and water in the ratio 1 : 5 so that the resultant mixture contains equal quantities of milk and water?
Answer the question using a single word or phrase.

[Assistant] 2 : 1

[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 350 - 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] 2,900

[User]
ifaequals the sum of the even integers from 2 to 80, inclusive, andbequals the sum of the odd integers from 1 to 79, inclusive, what is the value of a - b?
Answer the question using a single word or phrase.

[Assistant] 40

[User]
if 31 % of a number is 46.5, the number is?
Answer the question using a single word or phrase.

[Assistant] 150

[User]
if an average hard drive had a capacity of 0.6 tb in 2000, and average hard drive capacities double every 5 years, what will be the average hard drive capacity in 2050?
Answer the question using a single word or phrase.

[Assistant] 6144


[User]
two digits in father's age are the same as the digit in the son's age, but in reverse order. in 5 years father will be twice as old as son will be then. what is the difference in their current age?
Answer the question using a single word or phrase.

[Assistant] 18

[User]
a train running at the speed of 60 km / hr crosses a pole in 18 seconds. what is the length of the train?
Answer the question using a single word or phrase.

[Assistant] 300 m

[User]
the average monthly income of a and b is rs. 5050. the average monthly income of b and c is rs. 6250 and the average monthly income of a and c is rs. 5200. what is the monthly income of a?
Answer the question using a single word or phrase.

[Assistant] 4000

[User]
x, y, and z are different prime numbers. the product x ^ 3 * y ^ 2 * z ^ 1 is divisible by how many different positive numbers?
Answer the question using a single word or phrase.

[Assistant] 24

[User]
a man is 28 years older than his son. in four years, his age will be twice the age of his son. the present age of this son is
Answer the question using a single word or phrase.

[Assistant] 24 years


[User]
the cost of 3 pens and 5 pencils is rs. 200. also the cost of one pen and one pencil is in the ratio of 5 : 1 respectively. what is the cost of one dozen pens?
Answer the question using a single word or phrase.

[Assistant] rs. 600

[User]
the captain of a cricket team of 11 members is 25 years old and the wicket keeper is 5 years older. if the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. what is the average age of the team?
Answer the question using a single word or phrase.

[Assistant] 23

[User]
solution p is 20 percent lemonade and 80 percent carbonated water by volume ; solution q is 45 percent lemonade and 55 percent carbonated water by volume. if a mixture of pq contains 72 % percent carbonated water, what percent of the volume of the mixture is p?
Answer the question using a single word or phrase.

[Assistant] 68 %

[User]
there are 3 girls and 6 boys. how many kids are there?
Answer the question using a single word or phrase.

[Assistant] 9

[User]
two numbers n and 16 have lcm = 48 and gcf = 8. find n.
Answer the question using a single word or phrase.

[Assistant] 24


[User]
if y > 0, ( 2 y ) / 5 + ( 3 y ) / 10 is what percent of y?
Answer the question using a single word or phrase.

[Assistant] 70 %

[User]
convert 200 inches into centimeter?
Answer the question using a single word or phrase.

[Assistant] 508 cm

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

[Assistant] 25200

[User]
evaluate : 2344 - 12 * 3 * 2 =?
Answer the question using a single word or phrase.

[Assistant] 2337

[User]
a distributor sells a product through an on - line store, which take a commission of 20 % of the price set by the distributor. the distributor obtains the product from a producer at the price of $ 15 per item. what is the price that the buyer observers on - line if the distributor wants to maintain a 20 % profit on the cost of the item?
Answer the question using a single word or phrase.

[Assistant] 22.5


[User]
the product of x and y is a constant. if the value of x is increased by 80 %, by what percentage must the value of y be decreased?
Answer the question using a single word or phrase.

[Assistant] 44.44 %

[User]
in what time will a train 100 meters long cross an electric pole, if its speed is 90 km / hr
Answer the question using a single word or phrase.

[Assistant] 4 seconds

[User]
the roof of an apartment building is rectangular and its length is 7 times longer than its width. if the area of the roof is 847 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] 66.

[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. 3000. the difference between the profit shares of a and c is?
Answer the question using a single word or phrase.

[Assistant] 1200

[User]
the average age of 15 students of a class is 15 years. out of these, the average age of 4 students is 14 years and that of the other 10 students is 16 years, the age of the 15 th student is
Answer the question using a single word or phrase.

[Assistant] 9


[User]
the circumferences of two circles are 660 meters and 704 meters. find the difference between the areas of the larger and the smaller circles?
Answer the question using a single word or phrase.

[Assistant] 4774 sq m

[User]
p is 30 % more efficient than q. p can complete a work in 23 days. if p and q work together, how much time will it take to complete the same work?
Answer the question using a single word or phrase.

[Assistant] 13

[User]
the average ( arithmetic mean ) of the even integers from 0 to 100 inclusive is how much greater than the average ( arithmetic mean ) of the even integers from 0 to 50 inclusive?
Answer the question using a single word or phrase.

[Assistant] 25

[User]
how many positive integers less than 10,000 are such that the product of their digits is 30?
Answer the question using a single word or phrase.

[Assistant] 50

[User]
the speed at which a man can row a boat in still water is 16 kmph. if he rows downstream, where the speed of current is 4 kmph, what time will he take to cover 100 metres?
Answer the question using a single word or phrase.

[Assistant] 18


[User]
on the first of the year, james invested x dollars at proudstar bank in an account that yields 2 % in interest every quarter year. at the end of the year, during which he made no additional deposits or withdrawals, he had y dollars in the account. if james had invested the same amount in an account which pays interest on a yearly basis, what must the interest rate be for james to have y dollars at the end of the year?
Answer the question using a single word or phrase.

[Assistant] 8.25 %

[User]
the sale price sarees listed for rs. 390 after successive discount is 14 % and 15 % is?
Answer the question using a single word or phrase.

[Assistant] 285

[User]
with both inlets open, a water tank will be filled with water in 42 minutes. the first inlet alone would fill the tank in 2 hours. if in every minutes the second inlet admits 50 cubic meters of water than the first, what is the capacity of the tank?
Answer the question using a single word or phrase.

[Assistant] 7,000

[User]
if a rectangular billboard has an area of 91 square feet and a perimeter of 40 feet, what is the length of each of the shorter sides?
Answer the question using a single word or phrase.

[Assistant] 7

[User]
the ratio of the volumes of two cubes is 27 : 125. what is the ratio of their total surface areas?
Answer the question using a single word or phrase.

[Assistant] 9 : 25


[User]
the ratio of the first and second class fares between two stations is 3 : 1 and that of the number of passengers travelling between the two stations by the first and the second class is 1 : 50. if in a day, rs. 1, 325 are collected from the passengers travelling between the two stations, then the amount collected from the second class from the second class passengers is
Answer the question using a single word or phrase.

[Assistant] 1,250

[User]
find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 5 cm and 4 cm?
Answer the question using a single word or phrase.

[Assistant] 90 cm 2

[User]
a club wants to mix 20 pounds of candy worth $ 10.00 per pound with candy worth $ 5.00 per pound to reduce the cost of the mixture to $ 6.00 per pound. how many pounds of the $ 5.00 per pound candy should be used?
Answer the question using a single word or phrase.

[Assistant] 80

[User]
the reciprocal of the hcf and lcm of two are 1 / 12 and 1 / 312. if one of the number is 24 then other no. is
Answer the question using a single word or phrase.

[Assistant] 156

[User]
a can do a piece of work 20 days. b can do work in 35 days. in how many days they will complete the work together?
Answer the question using a single word or phrase.

[Assistant] 12.72 days


[User]
the sale price shirts listed for rs. 1000 after successive discount is 15 % and 2 % is?
Answer the question using a single word or phrase.

[Assistant] 833

[User]
what is the ratio of 4 / 7 to the product 3 * ( 7 / 3 )?
Answer the question using a single word or phrase.

[Assistant] 4 : 49

[User]
exactly 5 % of the reporters for a certain wire service cover local politics in country x. if 30 % 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] 92 %

[User]
kanul spent $ 35000 in buying raw materials, $ 40000 in buying machinery and 20 % of the total amount he had as cash with him. what was the total amount?
Answer the question using a single word or phrase.

[Assistant] $ 93750

[User]
the total age of a and b is 18 years more than the total age of b and c. c is how many years younger than a.?
Answer the question using a single word or phrase.

[Assistant] 18


[User]
the sector of a circle has radius of 21 cm and central angle 150 o. find its perimeter?
Answer the question using a single word or phrase.

[Assistant] 97

[User]
tom drives from town w to town b, driving at a constant speed of 60 miles per hour. from town b tom immediately continues to town c. the distance between w and b is twice the distance between b and c. if the average speed of the whole journey was 36 mph, then what is tom's speed driving from b to c in miles per hour?
Answer the question using a single word or phrase.

[Assistant] 20

[User]
the average of first 12 natural numbers is?
Answer the question using a single word or phrase.

[Assistant] 6.5

[User]
if 85 percent of the test takers taking an old paper and pencil gmat exam answered the first question on a given math section correctly, and 65 percent of the test takers answered the second question correctly, and 5 percent of the test takers answered neither question correctly, what percent answered both correctly?
Answer the question using a single word or phrase.

[Assistant] 55 %

[User]
what is the average of 12, 13, 14, 51, 52, 53, 1, 11.5, 1, 1.20, and 11.25?
Answer the question using a single word or phrase.

[Assistant] 21.06


[User]
what profit percent is made by selling an article at a certain price, if by selling at 2 / 3 rd of that price, there would be a loss of 5 %?
Answer the question using a single word or phrase.

[Assistant] 42.5 %

[User]
a jewelry store purchased a pair of earrings for $ 240 and was selling it at a price that equaled the purchase price of the earrings plus a markup that was 25 percent of the selling price. after some time a jewelry store owner decided to decrease the selling price by 20 percent. what was the jewelry store's gross profit on this sale?
Answer the question using a single word or phrase.

[Assistant] $ 16

[User]
if 1 / 4 of the passengers on a ship are from north america, 1 / 8 are europeans, 1 / 12 are from africa, 1 / 6 are from asia and the remaining 36 people are citizens of other continents, then how many passengers are on board the ship?
Answer the question using a single word or phrase.

[Assistant] 96

[User]
a hare and a tortoise have a race along a circle of 100 yards diameter. the tortoise goes in one direction and the hare in the other. the hare starts after the tortoise has covered 1 / 5 of its distance and that too leisurely. the hare and tortoise meet when the hare has covered only 1 / 8 of the distance. by what factor should the hare increase its speed so as to tie the race?
Answer the question using a single word or phrase.

[Assistant] 37.8

[User]
a certain rectangular crate measures 20 feet by 20 feet by 20 feet. a cylindrical gas tank is to be made for shipment in the crate and will stand upright when the crate is placed on one of its six faces. what should the radius of the tank be if it is to be of the largest possible volume?
Answer the question using a single word or phrase.

[Assistant] 10


[User]
jack got paid today for his part - time job as a juggler, and noticed that 20 % of his paycheck went to taxes. jack wants to spend 80 % of what's left on a new bike, and put the rest into savings. if jack puts $ 20 into savings, how much was his original paycheck before taxes?
Answer the question using a single word or phrase.

[Assistant] $ 125

[User]
find a sum for 1 st 5 prime no.'s?
Answer the question using a single word or phrase.

[Assistant] 28

[User]
a canoe has two oars, left and right. each oar either works or breaks. the failure or non - failure of each oar is independent of the failure or non - failure of the other. you can still row the canoe with one oar. the probability that the left oar works is 3 / 5. the probability that the right oar works is also 3 / 5. what is the probability w that you can still row the canoe?
Answer the question using a single word or phrase.

[Assistant] 21 / 25

[User]
working together, wayne and his son can shovel the entire driveway in three hours. if wayne can shovel two times as fast as his son can, how many hours would it take for his son to shovel the entire driveway on his own?
Answer the question using a single word or phrase.

[Assistant] 3

[User]
if a train, travelling at a speed of 90 kmph, crosses a pole in 5 sec, then the length of train is?
Answer the question using a single word or phrase.

[Assistant] 125 m


[User]
karthik read 7 / 13 th of a book in 1 st week and 5 / 9 th of the remaining book in 2 nd week. if there were 96 pages unread after 2 nd week, how many pages were there in the book?
Answer the question using a single word or phrase.

[Assistant] 468

[User]
find the quotient : 0.0204 / 17
Answer the question using a single word or phrase.

[Assistant] 0.0012

[User]
the consumption of diesel per hour of a bus varies directly as square of its speed. when the bus is travelling at 50 kmph its consumption is 1 litre per hour. if each litre costs $ 30 and other expenses per hous is $ 20, then what would be the minimum expenditure required to cover a distance of 400 km?
Answer the question using a single word or phrase.

[Assistant] 400

[User]
a group of students decided to collect as many paise from each member of group as is the number of members. if the total collection amounts to rs. 59.29, the number of the member is the group is :
Answer the question using a single word or phrase.

[Assistant] 77

[User]
if a ^ 2 + b ^ 2 = 30 and ab = 10, what is the value of the expression ( a - b ) ^ 2 + ( a + b ) ^ 2?
Answer the question using a single word or phrase.

[Assistant] 60


[User]
a can do a work in 30 days, b can do it in 20 days. they together under took to do a piece of work for rs. 1000, what is the share of b?
Answer the question using a single word or phrase.

[Assistant] rs. 600

[User]
3 x ^ 2 - 6 x + 3 = 0 find the above equation find the value of x
Answer the question using a single word or phrase.

[Assistant] 1

[User]
the income of a broker remains unchanged though the rate of commission is increased from 4 % to 5 %. the percentage of slump in business is :
Answer the question using a single word or phrase.

[Assistant] 20 %

[User]
how many gallons of milk that is 10 percent butter - fat must be added to 8 gallons of milk that is 45 percent butterfat to obtain milk that is 20 percent butterfat?
Answer the question using a single word or phrase.

[Assistant] 20

[User]
maxwell leaves his home and walks toward brad's house at the same time that brad leaves his home and runs toward maxwell's house. if the distance between their homes is 110 kilometers, maxwell's walking speed is 4 km / h, and brad's running speed is 7 km / h, what is the distance traveled by brad?
Answer the question using a single word or phrase.

[Assistant] 70


[User]
a dress on sale in a shop is marked at $ d. during the discount sale its price is reduced by 15 %. staff are allowed a further 10 % reduction on the discounted price. if a staff member buys the dress what will she have to pay in terms of d?
Answer the question using a single word or phrase.

[Assistant] 0.765 d

[User]
in a simultaneous throw of a pair of dice, find the probability of getting a total more than 11
Answer the question using a single word or phrase.

[Assistant] 11 / 25

[User]
sandy had $ 210 left after spending 30 % of the money she took for shopping. how much money did sandy take along with her?
Answer the question using a single word or phrase.

[Assistant] $ 300

[User]
if a ã — b = 2 a - 3 b + ab, then 2 ã — 5 + 5 ã — 2 is equal to :
Answer the question using a single word or phrase.

[Assistant] 18

[User]
if ( n + 2 )! / n! = 156, n =?
Answer the question using a single word or phrase.

[Assistant] 11


[User]
18 chess players take part in a tournament. every player plays twice with each of his opponents. how many games are to be played?
Answer the question using a single word or phrase.

[Assistant] 306

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

[Assistant] 28

[User]
a 6 - liter solution is 40 % alcohol. how many liters of pure alcohol must be added to produce a solution that is 50 % alcohol?
Answer the question using a single word or phrase.

[Assistant] 1.2

[User]
the present population of a town is 2100. population increase rate is 5 % p. a. find the population of town before 1 years?
Answer the question using a single word or phrase.

[Assistant] 2000

[User]
a math teacher has 25 cards, each of which is in the shape of a geometric figure. half of the cards are rectangles, and a third of the cards are rhombuses. if 8 cards are squares, what is the maximum possible number of cards that re circles.
Answer the question using a single word or phrase.

[Assistant] 8


[User]
when the positive integer x is divided by 9, the remainder is 5. what is the remainder when 7 x is divided by 9?
Answer the question using a single word or phrase.

[Assistant] 8

[User]
an alloy weighing 26 ounces is 70 percent gold. how many ounces of pure gold must be added to create an alloy that is 90 percent gold?
Answer the question using a single word or phrase.

[Assistant] 34

[User]
the sale price sarees listed for rs. 400 after successive discount is 25 % and 20 % is?
Answer the question using a single word or phrase.

[Assistant] 240

[User]
two trains of length 120 m and 210 m are 80 m apart. they start moving towards each other on parallel tracks, at speeds 69 kmph and 82 kmph. after how much time will the trains meet?
Answer the question using a single word or phrase.

[Assistant] 19 / 10

[User]
a shopkeeper sold 10 articles at the cost price of 8 articles. then find the profit % or lost %?
Answer the question using a single word or phrase.

[Assistant] 20 %


[User]
a and b can finish a work in 16 days while a alone can do the same work in 24 days. in how many days b alone will complete the work?
Answer the question using a single word or phrase.

[Assistant] 48 days

[User]
. 009 /? =. 01
Answer the question using a single word or phrase.

[Assistant] . 9

[User]
a can run a kilometer race in 4 1 / 2 min while b can run same race in 5 min. how many meters start can a give b in a kilometer race, so that the race mat end in a dead heat?
Answer the question using a single word or phrase.

[Assistant] 100 metre

[User]
if 10 people contributed a total of $ 30.00 toward a gift and each of them contributed at least $ 2.00, then the maximum possible amount any one person could have contributed is
Answer the question using a single word or phrase.

[Assistant] $ 12.00

[User]
when positive integer k is divided by 5, the remainder is 2. when k is divided by 6, the remainder is 5. if k is less than 42, what is the remainder when k is divided by 7?
Answer the question using a single word or phrase.

[Assistant] 3


[User]
a person borrows rs. 5000 for 2 years at 5 % p. a. simple interest. he immediately lends it to another person at 61 ⁄ 4 % p. a for 2 years. find his gain in the transaction per year.
Answer the question using a single word or phrase.

[Assistant] 62.5

[User]
a student chose a number, multiplied it by 6, then subtracted 138 from the result and got 102. what was the number he chose?
Answer the question using a single word or phrase.

[Assistant] 40

[User]
in a certain lottery, the probability that a number between 12 and 20, inclusive, is drawn is 1 / 6. if the probability that a number 12 or larger is drawn is 1 / 3, what is the probability that a number less than or equal to 20 is drawn?
Answer the question using a single word or phrase.

[Assistant] 5 / 6

[User]
10 years ago, the average age of a family of 4 members was 24 years. two children having been born ( with age diference of 2 years ), the present average age of the family is the same. the present age of the youngest child is :
Answer the question using a single word or phrase.

[Assistant] 3

[User]
if it takes 70 workers 3 hours to disassemble the exhibition rides at a small amusement park, how many hours would it take 30 workers to do this same job?
Answer the question using a single word or phrase.

[Assistant] 7


[User]
a batsman scored 150 runs which included 5 boundaries and 10 sixes. what percent of his total score did he make by running between the wickets?
Answer the question using a single word or phrase.

[Assistant] 46.67 %

[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 $ $ 390 per month. the salary of the new supervisor is :
Answer the question using a single word or phrase.

[Assistant] 510

[User]
a invested $ 400 in a business after 6 months b invested $ 200 in the business. end of the year if they got $ 100 as profit. find a shares?
Answer the question using a single word or phrase.

[Assistant] $ 80

[User]
two cars start from the opposite places of a main road, 150 km apart. first car runs for 25 km and takes a right turn and then runs 15 km. it then turns left and then runs for another 25 km and then takes the direction back to reach the main road. in the mean time, due to minor break down the other car has run only 62 km along the main road. what would be the distance between two cars at this point?
Answer the question using a single word or phrase.

[Assistant] 38

[User]
george went to a fruit market with certain amount of money. with this money he can buy either 50 oranges or 40 mangoes. he retains 10 % of the money for taxi fare and buys 10 mangoes. how many oranges can he buy?
Answer the question using a single word or phrase.

[Assistant] 20


[User]
a ’ s speed is 17 / 15 times that of b. if a and b run a race, what part of the length of the race should a give b as a head start, so that the race ends in a dead heat?
Answer the question using a single word or phrase.

[Assistant] 2 / 17

[User]
a box contains 8 apples, 7 of which are red. an apple is drawn from the box and its color is noted before it is eaten. this is done a total of n times, and the probability that a red apple is drawn each time is less than 0.5. what is the smallest possible value of n?
Answer the question using a single word or phrase.

[Assistant] 5

[User]
a factory produces 8000 toys per week. if the workers at this factory work 4 days a week and if these workers make the same number of toys everyday, how many toys are produced each day?
Answer the question using a single word or phrase.

[Assistant] 2000 toys

[User]
a store has 10 bottles of juice, including 6 bottles of apple juice. in the evening, 6 bottles of juice are sold one by one. what is the probability of selling 2 bottles of apple juice among the 6 bottles? assume that every bottle has an equal chance of being bought.
Answer the question using a single word or phrase.

[Assistant] 1 / 14

[User]
if 1 + 2 + 3 +... + n = n ( n + 1 ), then 3 ( 1 + 3 + 5 +.... + 89 ) =?
Answer the question using a single word or phrase.

[Assistant] 6075


[User]
in what time will a railway train 120 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Answer the question using a single word or phrase.

[Assistant] 12 sec

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

[Assistant] 84 %

[User]
the length of a room is 5.5 m and width is 3.75 m. find the cost of paying the floor by slabs at the rate of rs. 1400 per sq. metre.
Answer the question using a single word or phrase.

[Assistant] rs. 28,875

[User]
find the smallest positive integer n such that 11 n - 1 is divisible by 105.
Answer the question using a single word or phrase.

[Assistant] 6

[User]
there are 89 people that own pets. 15 people own only dogs, 10 people own only cats, 5 people own only cats and dogs, 3 people own cats, dogs and snakes. how many total snakes are there?
Answer the question using a single word or phrase.

[Assistant] 59


[User]
a sum of rs. 2691 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] 1656

[User]
when greenville state university decided to move its fine arts collection to a new library, it had to package the collection in 20 - inch by 20 - inch by 12 - inch boxes. if the university pays $ 0.50 for every box, and if the university needs 2.16 million cubic inches to package the collection, what is the minimum amount the university must spend on boxes?
Answer the question using a single word or phrase.

[Assistant] $ 225

[User]
a can do a piece of work in 15 days and b in 20 days. they began the work together but 5 days before the completion of the work, a leaves. the work was completed in?
Answer the question using a single word or phrase.

[Assistant] 11 3 / 7 days

[User]
a is half good a work man as b and together they finish a job in 10 days. in how many days working alone b finish the job?
Answer the question using a single word or phrase.

[Assistant] 15

[User]
rohit walked 25 m towards south. then he turned to his left and walked 20 m. he then turned to his left and walked 25 m. he again turned to his right and walked 15 m. at what distance is he from the starting point and in which direction?
Answer the question using a single word or phrase.

[Assistant] 35 m east


[User]
a mixture contains milk and water in the ratio 6 : 3. on adding 10 litters of water, the ratio of milk to water becomes 6 : 5. the quantity of milk in the original mixture is?
Answer the question using a single word or phrase.

[Assistant] 45

[User]
if the numerator of a fraction be increased by 20 % and its denominator be diminished by 10 %, the value of the fraction is 20 / 21. find the original fraction?
Answer the question using a single word or phrase.

[Assistant] 5 / 7

[User]
the ratio of a to b is 4 to 5, where a and b are positive. if x equals a increased by 25 percent of a, and m equals b decreased by 80 percent of b, what is the value of m / x?
Answer the question using a single word or phrase.

[Assistant] 1 / 5

[User]
a man saves 10 % of his monthly salary. if an account of dearness of things he is to increase his monthly expenses by 10 %, he is only able to save rs. 200 per month. what is his monthly salary?
Answer the question using a single word or phrase.

[Assistant] rs. 20,000

[User]
the median annual household income in a certain community of 21 households is $ 50000. if the mean w income of a household increases by 10 % per year over the next 2 years, what will the median income in the community be in 2 years?
Answer the question using a single word or phrase.

[Assistant] can not be determined


[User]
4 different children have jelly beans : aaron has 5, bianca has 7, callie has 8, and dante has 9. how many jelly beans must dante give to aaron to ensure that no child has more than 1 fewer jelly beans than any other child?
Answer the question using a single word or phrase.

[Assistant] 1

[User]
an engineer designed a ball so that when it was dropped, it rose with each bounce exactly one - half as high as it had fallen. the engineer dropped the ball from a 12 - meter platform and caught it after it had traveled 35.65 meters. how many times did the ball bounce?
Answer the question using a single word or phrase.

[Assistant] 6

[User]
a can complete a project in 20 days and b can complete the same project in 30 days. if a and b start working on the project together and b quits 10 days before the project is completed, in how many days total will the project be completed?
Answer the question using a single word or phrase.

[Assistant] 16

[User]
a present value of a machine is $ 128000. its value depletiation rate is 25 % per annum then find the machine value after 3 years?
Answer the question using a single word or phrase.

[Assistant] $ 54000

[User]
when 2 / 9 of the votes on a certain resolution have been counted, 3 / 4 of those counted are in favor of the resolution. what fraction f of the remaining votes must be against the resolution so that the total count will result in a vote of 2 to 1 against the resolution?
Answer the question using a single word or phrase.

[Assistant] 11 / 14


[User]
when 1 / 20 % of 8000 is subtracted from 1 / 10 of 8000, the difference is
Answer the question using a single word or phrase.

[Assistant] 798

[User]
what is the remainder when 47 * 50 is divided by 8?
Answer the question using a single word or phrase.

[Assistant] 14

[User]
there are 100 students in a class. if 14 % are absent on a particular day, find the number of students present in the class.
Answer the question using a single word or phrase.

[Assistant] 86

[User]
the megatek corporation is displaying its distribution of employees by department in a circle graph. the size of each sector of the graph representing a department is proportional to the percentage of total employees in that department. if the section of the circle graph representing the manufacturing department takes up 72 ° of the circle, what percentage of megatek employees are in manufacturing?
Answer the question using a single word or phrase.

[Assistant] 20 %

[User]
if the median of a list of numbers is m, the first quartile of the list is the median of the numbers in the list that are less than m. what is the first quartile of the list of numbers 42, 24, 30, 28, 26, 19, 33 and 35?
Answer the question using a single word or phrase.

[Assistant] 25


[User]
a boat having a length 3 m and breadth 2 m is floating on a lake. the boat sinks by 1.5 cm when a man gets on it. the mass of man is
Answer the question using a single word or phrase.

[Assistant] 90 kg

[User]
three numbers are in the ratio 1 : 3 : 6 and their average is 100. the largest number is :
Answer the question using a single word or phrase.

[Assistant] 180

[User]
how many 3 digit positive integers r exist that when divided by 7 leave a remainder of 5?
Answer the question using a single word or phrase.

[Assistant] 129

[User]
a total of 30 percent of the geese included in a certain migration study were male. if some of the geese migrated during the study and 20 percent of the migrating geese were male, what was the ratio of the migration rate for the male geese to the migration rate for the female geese? [ migration rate for geese of a certain sex = ( number of geese of that sex migrating ) / ( total number of geese of that sex ) ]
Answer the question using a single word or phrase.

[Assistant] 7 / 12

[User]
the average weight of a group of persons increased from 48 kg to 51 kg, when two persons weighing 88 kg and 93 kg join the group. find the initial number of members in the group?
Answer the question using a single word or phrase.

[Assistant] 26


[User]
a bag contains 3 red, 4 blue and 4 green balls. if 2 ballsare picked at random, what is the probability that both are red?
Answer the question using a single word or phrase.

[Assistant] 3 / 55

[User]
tom reads at an average rate of 30 pages per hour, while jan reads at an average rate of 39 pages per hour. if tom starts reading a novel at 4 : 30, and jan begins reading an identical copy of the same book at 5 : 06, at what time will they be reading the same page?
Answer the question using a single word or phrase.

[Assistant] 7 : 06

[User]
let f ( x, y ) be defined as the remainder when ( x – y )! is divided by x. if x = 24, what is the maximum value of y for which f ( x, y ) = 0?
Answer the question using a single word or phrase.

[Assistant] 20

[User]
for every x, the action [ x ] is defined : [ x ] is the greatest integer less than or equal to x. what is the value of [ 6.5 ] x [ 2 / 3 ] + [ 2 ] x 7.2 + [ 8.4 ] - 6.5?
Answer the question using a single word or phrase.

[Assistant] 15.7.

[User]
15 girls can complete a rangoli in 12 days, and 10 boys can complete the same work in 15 days. to complete the work earlier 10 boys and 15 girls are employed, in how many days will this work get completed?
Answer the question using a single word or phrase.

[Assistant] 6 2 / 3


[User]
when a certain number x is divided by 63, the remainder is 27. what is the remainder when x is divided by 8?
Answer the question using a single word or phrase.

[Assistant] 3

[User]
on dividing 100 by a number, the quotient is 9 and the remainder is 1. find the divisor?
Answer the question using a single word or phrase.

[Assistant] 11

[User]
a can do a work in 15 days and b in 20 days. if they work on it together for 5 days, then the fraction of the work that is left is :
Answer the question using a single word or phrase.

[Assistant] 5 / 12

[User]
a monkey ascends a greased pole 6 meters high. he ascends 2 meters in the first minute and then slips down 1 meter in the alternate minute. if this pattern continues until he climbs the pole, in how many minutes would he reach at the top of the pole?
Answer the question using a single word or phrase.

[Assistant] 9 th minute

[User]
what will be the reminder when ( 67 ^ 67 + 67 ) is divided by 68?
Answer the question using a single word or phrase.

[Assistant] 66


[User]
if leo gains 10 pounds, he will weigh 50 % more than his sister kendra. currently their combined weight is 140 pounds. what is leo's current weight?
Answer the question using a single word or phrase.

[Assistant] 80

[User]
aunt marge is giving candy to each of her nephews and nieces. she has 20 pieces of candy and she gives all the candy to the children according to her wish. if robert gets 2 more pieces than kate, bill gets 6 less than mary, mary gets 2 more pieces than robert, and kate gets 2 more pieces than bill, how many pieces of candy does kate get?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
in the list 3, 3, 4, 4, 5, 5, 5, 5, 7, 11, 21, what fraction of the data is less than the mode?
Answer the question using a single word or phrase.

[Assistant] 4 / 11

[User]
how many multiples of 4 are less than 3200, and also multiples of 16?
Answer the question using a single word or phrase.

[Assistant] 200

[User]
a man can row a boat at 10 kmph in still water and the speed of the stream is 8 kmph. what is then time taken to row a distance of 90 km down the stream?
Answer the question using a single word or phrase.

[Assistant] 5 hrs


[User]
the sum of two consecutive number is 109. which is the larger number?
Answer the question using a single word or phrase.

[Assistant] 55

[User]
what is the least number to be added to 1480 to make it a perfect square?
Answer the question using a single word or phrase.

[Assistant] 120

[User]
a hat company ships its hats, individually wrapped, in 8 - inch by 10 - inch by 12 - inch boxes. each hat is valued at $ 7.00. if the company ’ s latest order required a truck with at least 288,000 cubic inches of storage space in which to ship the hats in their boxes, what was the minimum value of the order?
Answer the question using a single word or phrase.

[Assistant] $ 2,100

[User]
in order to obtain an income of rs. 15000 from 80 % stock at rs. 200, one must make an investment of
Answer the question using a single word or phrase.

[Assistant] rs. 37500

[User]
the area of sector of a circle whose radius is 12 metro and whose angle at the center is 40 ° is?
Answer the question using a single word or phrase.

[Assistant] 50.2 m 2


[User]
the average runs scored by a batsman in 22 matches is 28. in the next 13 matches the batsman scored an average of 15 runs. find his average in all the 35 matches?
Answer the question using a single word or phrase.

[Assistant] 23.17

[User]
the sum of the numbers is 330. if the first number be twice the second and third number be one - third of the first, then the second number is :
Answer the question using a single word or phrase.

[Assistant] 90

[User]
a trailer carries 3, 4 and 5 crates on a trip. each crate weighs no less than 150 kg. what is the maximum weight of the crates on a single trip?
Answer the question using a single word or phrase.

[Assistant] 750

[User]
the weight of a glass of jar is 20 % 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 / 2

[User]
the diagonals of a rhombus are 16 cm and 20 cm. find its area?
Answer the question using a single word or phrase.

[Assistant] 160


[User]
the points a ( 0, 0 ), b ( 0, 4 a - 5 ) and c ( 2 a + 1, 2 a + 4 ) form a triangle. if angle abc = 90, what is the area of triangle abc?
Answer the question using a single word or phrase.

[Assistant] 65

[User]
carmen made a sculpture from small pieces of wood. the sculpture is 2 feet 10 inches tall. carmen places her sculpture on a base that is 6 inches tall. how tall are the sculpture andbase together?
Answer the question using a single word or phrase.

[Assistant] 3.3 feet

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

[Assistant] 256

[User]
a sum of money becomes 7 / 6 of itself in 5 years at a certain rate of simple interest. the rate per annum is?
Answer the question using a single word or phrase.

[Assistant] 10 / 3

[User]
a is two years older than b who is twice as old as c. if the total of the ages of a, b and c be 22, then how old is b?
Answer the question using a single word or phrase.

[Assistant] 8 years


[User]
all the students of class are told to sit in circle shape. here the boy at the 6 th position is exactly opposite to 16 th boy. total number of boys in the class?
Answer the question using a single word or phrase.

[Assistant] 20

[User]
the area of a square is 4624 sq cm. find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square.
Answer the question using a single word or phrase.

[Assistant] 11 : 34

[User]
in what time will a train 100 meters long cross an electric pole, if its speed is 162 km / hr
Answer the question using a single word or phrase.

[Assistant] 2.22 seconds

[User]
a certain shade of gray paint is obtained by mixing 3 parts of white paint with 5 parts of black paint. if 2 gallons of the mixture is needed and the individual colors can be purchased only in one gallon or half gallon cans, what is the least amount of paint t, in gallons, that must be purchased in order to measure out the portions needed for the mixture?
Answer the question using a single word or phrase.

[Assistant] 2 1 / 2

[User]
find the principle on a certain sum of money at 5 % per annum for 2 2 / 5 years if the amount being rs. 2120?
Answer the question using a single word or phrase.

[Assistant] rs. 1892.85


[User]
the average age of an adult class is 40 years. 8 new students with an avg age of 32 years join the class. therefore decreasing the average by 4 year. find what was theoriginal strength of class?
Answer the question using a single word or phrase.

[Assistant] 8

[User]
what is the ratio of two no. 5 xy and 8 xy.
Answer the question using a single word or phrase.

[Assistant] 5 : 8

[User]
how many positive integers less than 17 can be expressed as the sum of a positive multiple of 2 and a positive multiple of 3?
Answer the question using a single word or phrase.

[Assistant] 11

[User]
what least number should be added to 1056, so that the sum is completely divisible by 23?
Answer the question using a single word or phrase.

[Assistant] 2

[User]
at a restaurant, glasses are stored in two different - sized boxes. one box contains 12 glasses, and the other contains 16 glasses. if the average number of glasses per box is 15, and there are 16 more of the larger boxes, what is the total number of glasses t at the restaurant? ( assume that all boxes are filled to capacity. )
Answer the question using a single word or phrase.

[Assistant] t = 480


[User]
a discount electronics store normally sells all merchandise at a discount of 10 percent to 30 percent off the suggested retail price. if, during a special sale, an additional 20 percent were to be deducted from the discount price, what would be the lowest possible price of an item costing $ 200 before any discount?
Answer the question using a single word or phrase.

[Assistant] $ 112.00

[User]
a train 550 m long is running with a speed of 60 km / hr. in what time will it pass a man who is running at 6 km / hr in the direction opposite to that in which the train is going?
Answer the question using a single word or phrase.

[Assistant] 30

[User]
students at a school were on average 180 cm tall. the average female height was 170 cm, and the average male height was 186 cms. what was the ratio of men to women?
Answer the question using a single word or phrase.

[Assistant] 5 : 3

[User]
a person travels equal distances with speeds of 3 km / hr, 4 km / hr and 5 km / hr and takes a total time of 50 minutes. the total distance is?
Answer the question using a single word or phrase.

[Assistant] 3.19 km

[User]
how many digits are used to number a book containg 300 pages.
Answer the question using a single word or phrase.

[Assistant] 792


[User]
barbata invests $ 2800 in the national bank at 5 %. how much additional money must she invest at 8 % so that the total annual income will be equal to 6 % of her entire investment?
Answer the question using a single word or phrase.

[Assistant] 1400

[User]
at what rate percent on simple interest will rs. 600 amount to rs. 950 in 5 years?
Answer the question using a single word or phrase.

[Assistant] 11.67 %

[User]
a, b and c can do a work in 90, 45 and 6 days respectively. if they work together, in how many days will they complete the work?
Answer the question using a single word or phrase.

[Assistant] 5

[User]
a man can row upstream at 25 kmph and downstream at 41 kmph, and then find the speed of the man in still water?
Answer the question using a single word or phrase.

[Assistant] 33

[User]
i bought two books ; for rs. 450. 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] 262.5


[User]
how many 3 - digit positive integers are there, where each digit is positive, and no 3 adjacent digits are same?
Answer the question using a single word or phrase.

[Assistant] 504

[User]
if n = ( 33 ) ^ 43 + ( 23 ) ^ 33 what is the units digit of n?
Answer the question using a single word or phrase.

[Assistant] 6

[User]
for a positive integer n, if 5 ^ n is a factor of 20!, but 5 ^ n + 1 is not a factor of 20!, what is the value of n?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
a side of beef lost 35 percent of its weight in processing. if the side of beef weighed 570 pounds after processing, how many pounds did it weigh before processing?
Answer the question using a single word or phrase.

[Assistant] 876

[User]
the volume of a rectangular swimming pool is 840 cubic meters and water is flowing into the swimming pool. if the surface level of the water is rising at the rate of 0.5 meters per minute, what is the rate r, in cubic meters per minutes, at which the water is flowing into the swimming pool?
Answer the question using a single word or phrase.

[Assistant] not enough information to determine the rate


[User]
in what time will a railway train 96 m long moving at the rate of 45 kmph pass a telegraph post on its way?
Answer the question using a single word or phrase.

[Assistant] 8 sec

[User]
what is x if x + 2 y = 10 and y = 3?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
if 10 a = 6 b = 20, then 120 ab =
Answer the question using a single word or phrase.

[Assistant] 800

[User]
which number need to add to 7844213 to get a number exactly divisible by 549?
Answer the question using a single word or phrase.

[Assistant] 448

[User]
a scale 7 ft. 12 inches long is divided into 4 equal parts. find the length of each part.
Answer the question using a single word or phrase.

[Assistant] 24 inches


[User]
the population of a town increases 10 % and 20 % respectively in two consecutive years. after the growth the present population of the town is 1320. then what is the population of the town 2 years ago?
Answer the question using a single word or phrase.

[Assistant] 1000

[User]
there were two candidates in an election. winner candidate received 62 % of votes and won the election by 408 votes. find the number of votes casted to the winning candidate?
Answer the question using a single word or phrase.

[Assistant] 1054

[User]
balls of equal size are arranged in rows to form an equilateral triangle. the top most row consists of one ball, the 2 nd row of two balls and so on. if 1104 balls are added, then all the balls can be arranged in the shape of square and each of the sides of the square contain 8 balls less than the each side of the triangle did. how many balls made up the triangle?
Answer the question using a single word or phrase.

[Assistant] 2145

[User]
20 beavers, working together in a constant pace, can build a dam in 3 hours. how many v 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] v = 5.

[User]
one week, a certain truck rental lot had a total of 20 trucks, all of which were on the lot monday morning. if 50 % of the trucks that were rented out during the week were returned to the lot on or before saturday morning of that week, and if there were at least 10 trucks on the lot that saturday morning, what is the greatest number of different trucks that could have been rented out during the week?
Answer the question using a single word or phrase.

[Assistant] 20


[User]
the mean of 50 observations was 36. it was found later that an observation 48 was wrongly taken as 47. the corrected new mean is?
Answer the question using a single word or phrase.

[Assistant] 36.02

[User]
hillary and eddy are climbing to the summit of mt. everest from a base camp 5000 ft from the summit. when they depart for the summit at 06 : 00, hillary climbs at a rate of 800 ft / hr with eddy lagging behind at a slower rate of 500 ft / hr. if hillary stops 1000 ft short of the summit and then descends at a rate of 1000 ft / hr, at what time do hillary and eddy pass each other on her return trip?
Answer the question using a single word or phrase.

[Assistant] 12.0

[User]
$ 200 is divided amongst a, b and c so that a may get 2 / 3 as much as b and c together, b may get 6 / 9 as much as a and c together, then the share of a is
Answer the question using a single word or phrase.

[Assistant] $ 80

[User]
if a ( a + 6 ) = 27 and b ( b + 6 ) = 27, where a ≠ b, then a + b =
Answer the question using a single word or phrase.

[Assistant] − 6

[User]
jack and jill work at a hospital with 3 other workers. for an internal review, 2 of the 5 workers will be randomly chosen to be interviewed. what is the probability that jack and jill will both be chosen?
Answer the question using a single word or phrase.

[Assistant] 1 / 10


[User]
a river 2 m deep and 45 m wide is flowing at the rate of 4 kmph the amount of water that runs into the sea per minute is?
Answer the question using a single word or phrase.

[Assistant] 6000 m 3

[User]
the ratio of two quantities is 5 to 6. if each of the quantities is increased by 15, what is the ratio of these 2 new quantities?
Answer the question using a single word or phrase.

[Assistant] it can not be determined from the information given

[User]
a sum of $ 1000 amounts to $ 1500 in 5 years at simple interest. if the interest rate is increased by 5 % it would amount to how much?
Answer the question using a single word or phrase.

[Assistant] $ 1750

[User]
if f ( x ) = ax ^ 5 – 3 x ^ 2 + ax ^ 2 – x, then f ( b ) – f ( - b ) will equal :
Answer the question using a single word or phrase.

[Assistant] 2 ab ^ 5 - 2 b

[User]
the average age of students of a class is 15.8 years. the average age of boys in the class is 16.3 years and that of the girls is 15.4 years. the ration of the number of boys to the number of girls in the class is :
Answer the question using a single word or phrase.

[Assistant] 4 : 5


[User]
a man whose bowling average is 12.4, takes 8 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] 175

[User]
a number when divided by 342 gives a remainder 47. when the same number is divided by 19 what would be the remainder?
Answer the question using a single word or phrase.

[Assistant] 9

[User]
a train passes a station platform in 62 sec and a man standing on the platform in 20 sec. if the speed of the train is 54 km / hr. what is the length of the platform?
Answer the question using a single word or phrase.

[Assistant] 444 m

[User]
a, b and c enter into a partnership by investing $ 7000, $ 11000 and $ 18000 respectively. at the end of 8 months, b receives $ 2200 as his share. find the share of a.
Answer the question using a single word or phrase.

[Assistant] $ 1400

[User]
if 40 % of a certain number is 160, then what is 10 % of that number?
Answer the question using a single word or phrase.

[Assistant] 40


[User]
a man took loan from a bank at the rate of 12 % p. a. s. i. after 20 years he had to pay rs. 2100 interest only for the period. the principal amount borrowed by him was?
Answer the question using a single word or phrase.

[Assistant] 875

[User]
the average ( arithmetic mean ) of 24, 35, and 58 is 6 more than the average of 19, 51, and x. what is x?
Answer the question using a single word or phrase.

[Assistant] 29

[User]
instead of multiplying a number by 5, the number is divided by 5. what is the percentage of error obtained?
Answer the question using a single word or phrase.

[Assistant] 96 %

[User]
a person crosses a 600 m long street in 5 minutes, what is his speed in km per hour?
Answer the question using a single word or phrase.

[Assistant] 7.2

[User]
the length of a train and that of a platform are equal. if with a speed of 72 k / hr, the train crosses the platform in one minute, then the length of the train ( in meters ) is?
Answer the question using a single word or phrase.

[Assistant] 600


[User]
one hour after yolanda started walking from x to y, a distance of 60 miles, bob started walking along the same road from y to x. if yolanda â s walking rate was 5 miles per hour and bob â s was 6 miles per hour, how many miles had bob walked when they met?
Answer the question using a single word or phrase.

[Assistant] 30

[User]
in a class of 25 students, 15 play hockey and 16 play basketball. if there are 4 students who play neither sport, determine the number of students who play both hockey and basketball?
Answer the question using a single word or phrase.

[Assistant] 10

[User]
what is the difference between 80 % of 170 and 35 % of 300.
Answer the question using a single word or phrase.

[Assistant] 31

[User]
a car travels first 160 km at 90 km / hr and the next 160 km at 80 km / hr. what is the average speed for the first 320 km of the tour?
Answer the question using a single word or phrase.

[Assistant] 84.7

[User]
two trains are moving in the same direction at 72 kmph and 36 kmph. the faster train crosses a man in the slower train in 37 seconds. find the length of the faster train?
Answer the question using a single word or phrase.

[Assistant] 370


[User]
a water tank which could be filled in 5 hours takes one more hour to be filled as a result of a leak in its bottom. if the tank is full calculate the time it will take for the leak empty it?
Answer the question using a single word or phrase.

[Assistant] 30 hours

[User]
country x taxes each of its citizens an amount equal to 10 percent of the first $ 40,000 of income, plus 20 percent of all income in excess of $ 40,000. if a citizen of country x is taxed a total of $ 8,000, what is her income?
Answer the question using a single word or phrase.

[Assistant] $ 60,000

[User]
two trains of length 100 m and 200 m are 70 m apart. they start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. after how much time will the trains meet?
Answer the question using a single word or phrase.

[Assistant] 2 sec

[User]
peter's average ( arithmetic mean ) test score on 4 tests is 78. what must be the student's score on a 5 th test for the peter's average score on the 5 tests to be 80?
Answer the question using a single word or phrase.

[Assistant] 88

[User]
a 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 14 sec. what is the length of the platform?
Answer the question using a single word or phrase.

[Assistant] 535.71 m


[User]
a type of extra - large suv averages 12.2 miles per gallon ( mpg ) on the highway, but only 7.6 mpg in the city. what is the maximum distance, in miles, that this suv could be driven on 21 gallons of gasoline?
Answer the question using a single word or phrase.

[Assistant] 256

[User]
find the 15 th term of an arithmetic progression whose first term is 2 and the common difference is 3.
Answer the question using a single word or phrase.

[Assistant] 44

[User]
a fill pipe can fill 1 / 2 of cistern in 15 minutes. in how many minutes, it can fill 1 / 2 of the cistern?
Answer the question using a single word or phrase.

[Assistant] 15 min

[User]
a train passes a platform in 30 seconds. the same train passes a man standing on the platform in 20 seconds. if the speed of the train is 54 km / hr, the length of the platform is
Answer the question using a single word or phrase.

[Assistant] 150 meter

[User]
kiran has 85 currency notes in all, some of which were of rs. 100 denomination and the remaining of rs. 50 denomination. the total amount of all these currency notes was rs. 5000. how much amount did she have in the denomination of rs. 50?
Answer the question using a single word or phrase.

[Assistant] 3500


[User]
a 250 meter long train crosses a platform in 40 seconds while it crosses a signal pole in 20 seconds. what is the length of the platform?
Answer the question using a single word or phrase.

[Assistant] 250

[User]
in a 4 person race, medals are awarded to the fastest 3 runners. the first - place runner receives a gold medal, the second - place runner receives a silver medal, and the third - place runner receives a bronze medal. in the event of a tie, the tied runners receive the same color medal. ( for example, if there is a two - way tie for first - place, the top two runners receive gold medals, the next - fastest runner receives a silver medal, and no bronze medal is awarded ). assuming that exactly 3 medals are awarded, and that the 3 medal winners stand together with their medals to form a victory circle, how many different victory circles are possible?
Answer the question using a single word or phrase.

[Assistant] 96

[User]
a goods train runs at the speed of 72 kmph and crosses a 350 m long platform in 26 seconds. what is the length of the goods train?
Answer the question using a single word or phrase.

[Assistant] 170 m

[User]
the population of a town increased from 1, 62,500 to 2, 62,500 in a decade. the average percent increase of population per year is :
Answer the question using a single word or phrase.

[Assistant] 6.154 %

[User]
find the probability that a number selected from numbers 1, 2, 3,..., 45 is a prime number, when each of the given numbers is equally likely to be selected?
Answer the question using a single word or phrase.

[Assistant] 14 / 45


[User]
on increasing the price of t. v. sets by 80 %, their sale decreases by 20 %. what is the effect on the revenue receipts of the shop?
Answer the question using a single word or phrase.

[Assistant] 44

[User]
in a hostel, the number of students decreased by 15 % and the price of food increased by 20 % over the previous year. if each student consumes the same amount of food then by how much should the consumption of food be cut short by every student, so that the total cost of the food remains the same as that of the previous year?
Answer the question using a single word or phrase.

[Assistant] 1.96 %

[User]
a family pays $ 800 per year for an insurance plan that pays 70 percent of the first $ 1,000 in expenses and 100 percent of all medical expenses thereafter. in any given year, the total amount paid by the family will equal the amount paid by the plan when the family's medical expenses total.
Answer the question using a single word or phrase.

[Assistant] $ 1,400

[User]
a bag contains 5 red, 6 blue and 4 green balls. if 2 ballsare picked at random, what is the probability that both are red?
Answer the question using a single word or phrase.

[Assistant] 2 / 21

[User]
seed mixture x is 40 percent ryegrass and 60 percent bluegrass by weight ; seed mixture y is 25 percent ryegrass and 75 percent fescue. if a mixture of x and y contains 27 percent ryegrass, what percent of the weight of this mixture is x?
Answer the question using a single word or phrase.

[Assistant] 13.33 %


[User]
a, b, c, d, e, f are the only 6 families in indira nagar. a, b, c, d, e and f has 7, 8, 10, 13, 6, and 10 member in their families respectively. if 1 member from all the 6 families left their respective families to accommodate themselves in the hostel of iim lucknow, then the average number of member now in each family of indira nagar is
Answer the question using a single word or phrase.

[Assistant] 8

[User]
if - 2 x + 3 y = 8 and 4 x - 3 y = 20, what is the sum of x and y?
Answer the question using a single word or phrase.

[Assistant] 26

[User]
in a river flowing at 2 km / hr, a boat travels 72 km upstream and then returns downstream to the starting point. if its speed in still water be 6 km / hr, find the total journey time.
Answer the question using a single word or phrase.

[Assistant] 27 hours

[User]
the area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of rs. 3.50 per meter. two gates of 1 m width each are to be left for entrance. what is the total cost?
Answer the question using a single word or phrase.

[Assistant] s. 2331

[User]
if a - b = 5 and a 2 + b 2 = 29, find the value of ab.
Answer the question using a single word or phrase.

[Assistant] 2


[User]
seed mixture x is 40 % ryegrass and 60 % bluegrass by weight ; seed mixture y is 25 % ryegrass and 75 % fescue. if a mixture of x and y contains 37 % ryegrass, what percent of the weight of the mixture is from mixture x?
Answer the question using a single word or phrase.

[Assistant] 80 %

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

[Assistant] 1000 cubes

[User]
the speed of a car increases by 2 kms after every one hour. if the distance travelling in the first one hour was 35 kms. what was the total distance travelled in 12 hours?
Answer the question using a single word or phrase.

[Assistant] 552 kms

[User]
a and b together can do a piece of work in 10 days. b alone can finish it in 20 days. in how many days can a alone finish the work?
Answer the question using a single word or phrase.

[Assistant] 20

[User]
the ratio of pens to pencils is 5 to 6. there are 7 more pencils than pens. how many pencils are there?
Answer the question using a single word or phrase.

[Assistant] 42


[User]
the average score of a cricketer for 10 matches is 38.9 runs. if the average for the first 6 matches is 42, then find the average for the last 4 matches.
Answer the question using a single word or phrase.

[Assistant] 34.25

[User]
the area of a square is equal to seven times the area of a rectangle of dimensions 25 cm * 343 cm. what is the perimeter of the square?
Answer the question using a single word or phrase.

[Assistant] 980 cm

[User]
the distance between a & b is 600 km. a person is traveling from a to b at 70 km / hr started at 10 am and another person is traveling from b to a at 80 km / hr and started at same time. then at what time they meet together.
Answer the question using a single word or phrase.

[Assistant] 2 pm

[User]
a train running at 1 / 4 of its own speed reached a place in 12 hours. how much time could be saved if the train would have run at its own speed?
Answer the question using a single word or phrase.

[Assistant] 9 hrs

[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 $ 67.50, what was the total value of the item?
Answer the question using a single word or phrase.

[Assistant] $ 1,750


[User]
of 55 players on a cricket team, 37 are throwers. the rest of the team is divided so one third are left - handed and the rest are right handed. assuming that all throwers are right handed, how many right - handed players are there total?
Answer the question using a single word or phrase.

[Assistant] 49

[User]
a person want to give his money of $ 900 to his 3 children a, b, c in the ratio 2 : 3 : 4. what is the b's share?
Answer the question using a single word or phrase.

[Assistant] $ 300

[User]
a can do a piece of work in 21 days and b in 28 days. together they started the work and b left after 4 days. in how many days can a alone do the remaining work?
Answer the question using a single word or phrase.

[Assistant] 14

[User]
if a and b are the two values of t that satisfy the equation t ^ 2 â € “ 12 t + 20 = 0, with a > b, what is the value of a â € “ b?
Answer the question using a single word or phrase.

[Assistant] 8

[User]
the average ( arithmetic mean ) of 4 different integers is 74. if the largest integer is 90, what is the least possible value of the smallest integer?
Answer the question using a single word or phrase.

[Assistant] 29


[User]
eddy and freddy start simultaneously from city a and they travel to city b and city c respectively. eddy takes 3 hours and freddy takes 4 hours to complete the journey. if the distance between city a and city b is 900 kms and city a and city c is 300 kms. what is the ratio of their average speed of travel? ( eddy : freddy )
Answer the question using a single word or phrase.

[Assistant] 4 / 1

[User]
if 40 honey bees make 40 grams of honey in 40 days, then 1 honey bee will make 1 gram of honey in how many days?
Answer the question using a single word or phrase.

[Assistant] 40

[User]
a dog takes 5 leaps for every 8 leaps of a hare. if one leap of the dog is equal to 5 leaps of the hare, the ratio of the speed of the dog to that of the hare is :
Answer the question using a single word or phrase.

[Assistant] 25 : 8

[User]
of the families in city x in 2001, 25 percent owned a personal computer. the number of families in city x owning a computer in 2008 was 15 percent greater than it was in 2001, and the total number of families in city x was 6 percent greater in 2008 than it was in 2001. what percent of the families in city x owned a personal computer in 2008?
Answer the question using a single word or phrase.

[Assistant] 27.12 %

[User]
the mass of 1 cubic meter of a substance is 100 kg under certain conditions. what is the volume in cubic centimeters of 1 gram of this substance under these conditions? ( 1 kg = 1,000 grams and 1 cubic meter = 1, 000,000 cubic centimeters )
Answer the question using a single word or phrase.

[Assistant] 10


[User]
two pipes a and b can fill a tank in 12 and 24 minutes respectively. if both the pipes are used together, how long will it take to fill the tank?
Answer the question using a single word or phrase.

[Assistant] 8 min

[User]
what number is obtained by adding the units digits of 734 ^ 99 and 347 ^ 82?
Answer the question using a single word or phrase.

[Assistant] 13

[User]
the ratio between the number of sheep and the number of horses at the stewar farm is 3 to 7. if each of horse is fed 230 ounces of horse food per day and the farm needs a total 12880 ounces of horse food per day. what is number sheep in the form??
Answer the question using a single word or phrase.

[Assistant] 24

[User]
a pump can fill a tank with a water in 2 hours. because of a leak, it took 2 and 4 / 5 hours to fill the tank. the leak can drain all the water of the full tank in how many hours?
Answer the question using a single word or phrase.

[Assistant] 7

[User]
the sum of number of boys and girls in a school is 100. if the number of boys is x, then the number of girls becomes x % of the total number of students. the number of boys is?
Answer the question using a single word or phrase.

[Assistant] 50


[User]
the food in a camp lasts for 20 men for 50 days. if 20 more men join, how many days will the food last?
Answer the question using a single word or phrase.

[Assistant] 25 days

[User]
three numbers are in the ratio of 2 : 3 : 4 and their l. c. m. is 264. what is their h. c. f.?
Answer the question using a single word or phrase.

[Assistant] 22

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

[Assistant] 1 / 2

[User]
in a recent head - to - head run - off election, 12,000 absentee ballets were cast. 1 / 6 of the absentee ballets were thrown out and 3 / 5 of the remaining absentee ballets were cast for candidate a. how many absentee votes did candidate b receive?
Answer the question using a single word or phrase.

[Assistant] 4,000

[User]
a train 300 m long can cross an electric pole in 30 sec and then find the speed of the train?
Answer the question using a single word or phrase.

[Assistant] 36 kmph


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

[Assistant] 62

[User]
tough and tricky questions : word problems. a salesman's income consists of commission and base salary. his weekly income totals over the past 5 weeks have been $ 406, $ 413, $ 420, $ 436 and $ 395. what must his average ( arithmetic mean ) income over the next 5 weeks be to increase his average weekly income to $ 500 over the 10 - week period?
Answer the question using a single word or phrase.

[Assistant] $ 586

[User]
when a random experiment is conducted, the probability that event a occurs is 1 / 3. if the random experiment is conducted 4 independent times, what is the probability that event a occurs exactly twice?
Answer the question using a single word or phrase.

[Assistant] 8 / 27

[User]
if 16 % of 40 % of a number is 6, then the number is
Answer the question using a single word or phrase.

[Assistant] 93.75

[User]
one day a car rental agency rented 2 / 3 of its cars, including 3 / 5 of its cars with cd players. if 3 / 5 of its cars have cd players, what percent of the cars that were not rented had cd players?
Answer the question using a single word or phrase.

[Assistant] 18 / 25


[User]
a certain number when divided by 39 leaves a remainder 19, what is the remainder when the same number is divided by 13?
Answer the question using a single word or phrase.

[Assistant] 6

[User]
if the price of gasoline increases by 20 % and a driver intends to spend only 8 % more on gasoline, by how much percent should the driver reduce the quantity of gasoline that he buys?
Answer the question using a single word or phrase.

[Assistant] 10 %

[User]
the average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 50 kg. what might be the weight of the new person?
Answer the question using a single word or phrase.

[Assistant] 70 kg

[User]
machine a can finish a job in 4 hours, machine в can finish the job in 2 hours, and machine с can finish the job in 6 hours. how many hours will it take for a, b, and с together to finish the job?
Answer the question using a single word or phrase.

[Assistant] 12 / 11

[User]
a cubical block of metal weighs 3 pounds. how much will another cube of the same metal weigh if its sides are twice as long?
Answer the question using a single word or phrase.

[Assistant] 24


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

[Assistant] 1

[User]
a trader sells 85 meters of cloth for rs. 8925 at the profit of rs. 35 per metre of cloth. what is the cost price of one metre of cloth?
Answer the question using a single word or phrase.

[Assistant] 70

[User]
how many seconds will a train 200 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?
Answer the question using a single word or phrase.

[Assistant] 35 sec

[User]
a sum of rs. 427 is to be divided among a, b and c in such a way that 3 times a ’ s share, 4 times b ’ s share and 7 times c ’ s share are all equal. the share of c is
Answer the question using a single word or phrase.

[Assistant] 84

[User]
find the average of first 4 multiples of 12?
Answer the question using a single word or phrase.

[Assistant] 30


[User]
there is a rectangular prism made of 1 in cubes that has been covered in tin foil. there are exactly 128 cubes that are not touching any tin foil on any of their sides. if the width of the figure created by these 128 cubes is twice the length and twice the height, what is the p measure in inches of the width of the foil covered prism?
Answer the question using a single word or phrase.

[Assistant] 10

[User]
if 15 students in a class average 80 % on an english exam and 10 students average 90 % on the same exam, what is the average in percent for all 25 students?
Answer the question using a single word or phrase.

[Assistant] 84 %

[User]
a man sitting in a train which is traveling at 50 kmph observes that a goods train, traveling in opposite direction, takes 9 seconds to pass him. if the goods train is 280 m long, find its speed
Answer the question using a single word or phrase.

[Assistant] 62 kmph

[User]
how many positive factors do 160 and 96 have in common?
Answer the question using a single word or phrase.

[Assistant] 6

[User]
how many odd prime numbers are there less than 50?
Answer the question using a single word or phrase.

[Assistant] 14


[User]
at a local appliance manufacturing facility, the workers received a 15 % hourly pay raise due to extraordinary performance. if one worker decided to reduce the number of hours that he worked so that his overall pay would remain unchanged, by approximately what percent would he reduce the number of hours that he worked?
Answer the question using a single word or phrase.

[Assistant] 13 %

[User]
if the simple interest on $ 2000 increase by $ 40, when the time increase by 4 years. find the rate percent per annum.
Answer the question using a single word or phrase.

[Assistant] 0.5 %

[User]
in a room filled with 7 people, 4 people have exactly 1 sibling in the room and 3 people have exactly 2 siblings in the room. if two individuals are selected from the room at random, what is the probability that those two individuals are not siblings?
Answer the question using a single word or phrase.

[Assistant] 16 / 21

[User]
working at their respective constant rates, machine a makes 100 copies in 12 minutes and machine b makes 150 copies in 15 minutes. if these machines work simultaneously at their respective rates for 30 minutes, what is the total number of copies that they will produce?
Answer the question using a single word or phrase.

[Assistant] 550

[User]
which number can we add to 897326 to get a number exactly divisible by 456?
Answer the question using a single word or phrase.

[Assistant] 82


[User]
a can give b 200 meters start and c 400 meters start in a kilometer race. how much start can b give c in a kilometer race?
Answer the question using a single word or phrase.

[Assistant] 250

[User]
a reduction of 40 % in the price of bananas would enable a man to obtain 65 more for rs. 40, what is reduced price per dozen?
Answer the question using a single word or phrase.

[Assistant] 2.95

[User]
a shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 20 % while buying and by 10 % while selling. what is his percentage profit?
Answer the question using a single word or phrase.

[Assistant] 20 %

[User]
for the past n days, the average ( arithmetic mean ) daily production at a company was 50 units. if today's production of 115 units raises the average to 55 units per day, what is the value of n?
Answer the question using a single word or phrase.

[Assistant] 12

[User]
the h. c. f. of two numbers is 11 and their l. c. m. is 7700. if one of the numbers is 275, then the other is :
Answer the question using a single word or phrase.

[Assistant] 308


[User]
excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 41 kmph. for how many minutes does the bus stop per hour?
Answer the question using a single word or phrase.

[Assistant] 14.4 min

[User]
a train length 100 m going with speed 10 m / sec another train 150 m long going with speed 15 m / sec. the distance between two train is 50 m. then how much time second train will take to cross the first train?
Answer the question using a single word or phrase.

[Assistant] 60 sec

[User]
one copy machine can make 15 copies a minute, and a second copy machine makes 10 copies a minute. if the two copiers work together, how long would it take them to make 1,000 copies?
Answer the question using a single word or phrase.

[Assistant] 40 minutes

[User]
a and b start walking towards each other at 6 pm at speed of 6 kmph and 4 kmph. they were initially 50 km apart. at what time do they meet?
Answer the question using a single word or phrase.

[Assistant] 11 pm

[User]
what is the units digit of 33 ^ 2 * 17 ^ 3 * 49 ^ 3?
Answer the question using a single word or phrase.

[Assistant] 3


[User]
solution y is 30 percent liquid x and 70 percent water. if 2 kilograms of water evaporate from 10 kilograms of solution y and 2 kilograms of solution y are added to the remaining 6 kilograms of liquid, what percent of this new solution is liquid x?
Answer the question using a single word or phrase.

[Assistant] 36

[User]
water is poured into a tank so that the tank is being filled at the rate of 4 cubic feet per hour. if the empty rectangular tank is 6 feet long, 4 feet wide, and 3 feet deep, approximately how many hours does it take to fill the tank?
Answer the question using a single word or phrase.

[Assistant] 18

[User]
two pipes a and b can separately fill a cistern in 60 min and 75 min respectively. there is a third pipe in the bottom of the cistern to empty it. if all the 3 pipes are simultaneously opened, then the cistern is full in 50 min. in how much time, the third pipe alone can empty the cistern?
Answer the question using a single word or phrase.

[Assistant] 100 min

[User]
a and b undertake to do a piece of work for rs. 1200. a alone can do it in 6 days while b alone can do it in 8 days. with the help of c, they finish it in 3 days. find the share of b.
Answer the question using a single word or phrase.

[Assistant] 450

[User]
a trader sells 92 meters of cloth for rs. 9890 at the profit of rs. 24 per metre of cloth. what is the cost price of one metre of cloth?
Answer the question using a single word or phrase.

[Assistant] 83.5


[User]
what is the least value of x. so that 21 x 57 is divisible by 3.
Answer the question using a single word or phrase.

[Assistant] 0

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

[Assistant] 36

[User]
the average weight of a class of 20 boys was calculated to be 58.4 kgs and it was later found that one weight was misread as 56 kg instead of 65 kg. what is the correct weight?
Answer the question using a single word or phrase.

[Assistant] 58.85 kg

[User]
the sale price sarees listed for rs. 400 after successive discount is 30 % and 20 % is?
Answer the question using a single word or phrase.

[Assistant] 224

[User]
a runs 1 ¾ times as fast as b. if a gives b a start of 84 m, bow far must winning post be so that a and b might reach it at the same time?
Answer the question using a single word or phrase.

[Assistant] 196 m


[User]
a box contains 13 apples, 12 of which are red. an apple is drawn from the box and its color is noted before it is eaten. this is done a total of n times, and the probability that a red apple is drawn each time is less than 0.5. what is the smallest possible value of n?
Answer the question using a single word or phrase.

[Assistant] 7

[User]
a soccer store typically sells replica jerseys at a discount of 30 percent to 50 percent off list price. during the annual summer sale, everything in the store is an additional 40 percent off the original list price. if a replica jersey's list price is $ 80, approximately what percent of the list price is the lowest possible sale price?
Answer the question using a single word or phrase.

[Assistant] 20

[User]
a = { 2, 3, 5, 7, 11 } b = { 2, 4, 6, 19 } two integers will be randomly selected from sets a and b, one integer from set a and one from set b, and then multiplied together. how many different products can be obtained?
Answer the question using a single word or phrase.

[Assistant] 24

[User]
if one - seventh of a number exceeds its eleventh part by 100 then the number is …
Answer the question using a single word or phrase.

[Assistant] 1925

[User]
a rower whose speed is 6 km / hr in still water rows to a certain point upstream and back to the starting point in a river which flows at 3 km / hr. what is the rower's average speed ( in km / hr ) for the total journey?
Answer the question using a single word or phrase.

[Assistant] 4.5


[User]
list i : 3, 4, 8, 19 list ii : x, 3, 4, 8, 19
Answer the question using a single word or phrase.

[Assistant] 6

[User]
there are 4 more women than there are men on a local co - ed softball team. if there are a total of 20 players on the team, what is the ratio of men to women?
Answer the question using a single word or phrase.

[Assistant] 8 / 12

[User]
it is currently 9 : 53 pm. what time was it in the morning exactly 149,061 minutes ago?
Answer the question using a single word or phrase.

[Assistant] 9 : 32

[User]
a man can row his boat with the stream at 20 km / h and against the stream in 4 km / h. the man's rate is?
Answer the question using a single word or phrase.

[Assistant] 8 kmph

[User]
6 chess players take part in a tournament. every player plays twice with each of his opponents. how many games are to be played?
Answer the question using a single word or phrase.

[Assistant] 30


[User]
the time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. if the speed of the boat in still water is 51 kmph, find the speed of the stream?
Answer the question using a single word or phrase.

[Assistant] 17 kmph

[User]
the average ( arithmetic man ) of 3 integers a, b, and c is exactly 4 times the median. if a < b < c and a = 0, what is the value of c / b?
Answer the question using a single word or phrase.

[Assistant] 11

[User]
in 1950, richard was 4 times as old as robert. in 1955, richard was 3 times as old as robert. in which year was richard 1.75 times as old as robert?
Answer the question using a single word or phrase.

[Assistant] 1980

[User]
raman's salary was decreased by 50 % and subsequently increased by 50 %. how much percent does he loss
Answer the question using a single word or phrase.

[Assistant] 25

[User]
a dishonest shopkeeper professes to sell pulses at the cost price, but he uses a false weight of 930 gm. for a kg. his gain is … %.
Answer the question using a single word or phrase.

[Assistant] 7.53 %


[User]
the majority owner of a business received 25 % of the profit, with each of 4 partners receiving 25 % of the remaining profit. if the majority owner and two of the owners combined to receive $ 62,500, how much profit did the business make?
Answer the question using a single word or phrase.

[Assistant] $ 100,000

[User]
when a random experiment is conducted, the probability that event a occurs is 1 / 5. if the random experiment is conducted 4 independent times, what is the probability that event a occurs exactly twice?
Answer the question using a single word or phrase.

[Assistant] 96 / 625

[User]
two trains are moving in opposite directions at 60 km / hr and 90 km / hr. their lengths are 1.10 km and 0.9 km respectively. the time taken by the slower train to cross the faster train in seconds is :
Answer the question using a single word or phrase.

[Assistant] 48 sec

[User]
a 6 - liter solution is 30 % alcohol. how many liters of pure alcohol must be added to produce a solution that is 50 % alcohol?
Answer the question using a single word or phrase.

[Assistant] 2.4

[User]
find the average of all the numbers between 17 and 32 which are divisible by 3.
Answer the question using a single word or phrase.

[Assistant] 26


[User]
a boat can travel with a speed of 13 km / hr in still water. if the speed of the stream is 4 km / hr. find the time taken by the boat to go 72 km downstream?
Answer the question using a single word or phrase.

[Assistant] 4 hours 12 minutes

[User]
if you add all the numbers on your mobile phone, what is the answer?
Answer the question using a single word or phrase.

[Assistant] 45

[User]
what is the sum of the integers from - 190 to 192 inclusive?
Answer the question using a single word or phrase.

[Assistant] 383

[User]
if $ 650 is deposited into a savings account at an annual interest rate of 5 % that compounds monthly, what is the value of the investment after 7 years?
Answer the question using a single word or phrase.

[Assistant] $ 921.75

[User]
in a certain candy store, 22 % of the customers are caught sampling the candy and are charged a small fine, but 15 % of the customers who sample the candy are not caught. what is the total percent of all customers who sample candy?
Answer the question using a single word or phrase.

[Assistant] 26 %