[User]
a batsman makes a score of 87 runs in the 17 th inning and thus increases his average by 4. find his average after 17 th inning.
Answer the question using a single word or phrase.

[Assistant] 23

[User]
the sum of the first n positive perfect squares, where n is a positive integer, is given by the formula n ^ 3 / 3 + c * n ^ 2 + n / 6, where c is a constant. what is the sum of the first 16 positive perfect squares?
Answer the question using a single word or phrase.

[Assistant] 1,496

[User]
when the positive integer x is divided by 9, the remainder is 5. what is the remainder when 6 x is divided by 9?
Answer the question using a single word or phrase.

[Assistant] 3

[User]
set a : 3, r, 8, 10 set b : 4, g, 9, 11 the terms of each set above are given in ascending order. if the median of set a is equal to the median of set b, what is the value of g – r?
Answer the question using a single word or phrase.

[Assistant] - 1

[User]
how many integers from 40 to 200, inclusive, are divisible by 3 but not divisible by 7?
Answer the question using a single word or phrase.

[Assistant] 45


[User]
water boils at 212 ° f or 100 ° c and ice melts at 32 ° f or 0 ° c. if the temperature of a pot of water is 45 ° c, what is the temperature of the pot of water in ° f?
Answer the question using a single word or phrase.

[Assistant] 113 ° f

[User]
a sum of money at simple interest amounts to rs. 415 in 2 years and to rs. 514 in 4 years. the sum is?
Answer the question using a single word or phrase.

[Assistant] rs. 316

[User]
a man can row his boat with the stream at 26 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] 11 kmph

[User]
a and b can complete a work in 30 days and 15 day. they started doing the work together but after 5 days b had to leave and a alone completed the remaining work. the whole work was completed in?
Answer the question using a single word or phrase.

[Assistant] 20 days

[User]
karen places a bet with tom that she will beat tom in a car race by 4 miles even if karen starts 4 minutes late. assuming that karen drives at an average speed of 60 mph and tom drives at an average speed of 45 mph, how many e miles will tom drive before karen wins the bet?
Answer the question using a single word or phrase.

[Assistant] 24


[User]
the sum of two numbers is 73 and their difference is 28. find the difference between their squares.
Answer the question using a single word or phrase.

[Assistant] 2044

[User]
a large tank can filled by a and b in 60 minutes and 40 minutes respectively. how many minutes will it take to fill the tanker from empty state if b is used for half the time and a and b fill it together for the other half?
Answer the question using a single word or phrase.

[Assistant] 30 min

[User]
in order to fence a square manish fixed 48 poles. if the distance between two poles, is 1 metres then what will be the area of the square so formed?
Answer the question using a single word or phrase.

[Assistant] 144 cm 2

[User]
two vessels contains equal number of mixtures milk and water in the ratio 8 : 2 and 9 : 1. both the mixtures are now mixed thoroughly. find the ratio of milk to water in the new mixture so obtained?
Answer the question using a single word or phrase.

[Assistant] 17 : 3

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


[User]
walking at the rate of 8 kmph a man cover certain distance in 4 hr 45 min. running at a speed of 19 kmph the man will cover the same distance in.
Answer the question using a single word or phrase.

[Assistant] 120 min

[User]
a train 420 m long, running with a speed of 63 km / hr will pass a tree in?
Answer the question using a single word or phrase.

[Assistant] 24

[User]
every day daniel drives 100 miles back from work. on sunday, daniel drove all the way back from work at a constant speed of x miles per hour. on monday, daniel drove the first 32 miles back from work at ( 2 x ) miles per hour, and the rest of the way at ( x / 2 ) miles per hour. the time it took daniel to drive back from work on monday is longer than the time it took him to drive back from work on sunday by what percent?
Answer the question using a single word or phrase.

[Assistant] 52 %

[User]
in what ratio must tea of rs. 42 per kg be mixed with tea of rs. 50 per kg so that cost of mixture is rs. 45 per kg?
Answer the question using a single word or phrase.

[Assistant] 5 : 3

[User]
in the biotechnology class of 2000, there were x graduates. 32 of the graduates found a job, 45 continued on to their second degree and 13 did both. if only 9 people did n't do both, what is x equal to?
Answer the question using a single word or phrase.

[Assistant] 73


[User]
the number 61 can be written as the sum of the squares of 3 different positive integers. what is the sum of these 3 integers?
Answer the question using a single word or phrase.

[Assistant] 13

[User]
the average weight of 6 persons increases by 1.5 kg. if a person weighing 65 kg is replaced by a new person, what could be the weight of the new person?
Answer the question using a single word or phrase.

[Assistant] 74 kg

[User]
a sun is divided among x, y and z in such a way that for each rupee x gets, y gets 45 paisa and z gets 50 paisa. if the share of y is rs. 54, what is the total amount?
Answer the question using a single word or phrase.

[Assistant] 234

[User]
from the sale of sleeping bags, a retailer made a gross profit of 14 % of the wholesale cost. if each sleeping bag was sold for $ 28, what was the wholesale cost per bag?
Answer the question using a single word or phrase.

[Assistant] 24.56

[User]
in 150 m race, a covers the distance in 36 seconds and b in 45 seconds. in this race a beats b by :
Answer the question using a single word or phrase.

[Assistant] 30 m


[User]
the value of ( 34.31 * 0.473 * 1.567 ) / ( 0.5 * 23.25 * 7.57 ) is close to
Answer the question using a single word or phrase.

[Assistant] 0.29

[User]
if x is 12 percent greater than 70, then x =
Answer the question using a single word or phrase.

[Assistant] 78.4

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

[Assistant] 26 years

[User]
a and b invests rs. 3000 and rs. 10000 respectively in a business. if a doubles his capital after 6 months. in what ratio should a and b divide that year's profit?
Answer the question using a single word or phrase.

[Assistant] 9 : 20

[User]
a call center has two teams. each member of team a was able to process 7 / 5 calls as compared to each member of team b. if team a has 5 / 8 as many number of call center agents as team b, what fraction of the total calls was processed by team b?
Answer the question using a single word or phrase.

[Assistant] 8 / 15


[User]
the speed at which a man can row a boat in still water is 10 kmph. if he rows downstream, where the speed of current is 2 kmph, what time will he take to cover 60 metres?
Answer the question using a single word or phrase.

[Assistant] 18 seconds

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

[Assistant] 5 ( 4 ^ 4 )

[User]
the positive numbers w, x, y, and z are such that x is 10 percent greater than y, y is 20 percent greater than z, and w is 20 percent less than x. what percent greater than z is w?
Answer the question using a single word or phrase.

[Assistant] 16.0 %

[User]
a man misses a bus by 40 minutes if he travels at 30 kmph. if he travels at 40 kmph, then also he misses the bus by 10 minutes. what is the minimum speed required to catch the bus on time?
Answer the question using a single word or phrase.

[Assistant] 45

[User]
5 n + 2 > 12 and 7 n + 2 < 44 ; n must be between which numbers?
Answer the question using a single word or phrase.

[Assistant] 2 and 6


[User]
a committee is reviewing a total of 20 x black - and - white films and 4 y color films for a festival. if the committee selects y / x % of the black - and - white films and all of the color films, what fraction of the selected films are in color?
Answer the question using a single word or phrase.

[Assistant] 20 / 21

[User]
a jogger running at 9 kmph along side a railway track is 250 metres ahead of the engine of a 120 metre long train running at 45 kmph in the same direction. in how much time will the train pass the jogger?
Answer the question using a single word or phrase.

[Assistant] 37 sec

[User]
in traveling from a dormitory to a certain city, a student went 1 / 5 of the way by foot, 2 / 3 of the way by bus, and the remaining 11 kilometers by car. what is the distance, in kilometers, from the dormitory to the city?
Answer the question using a single word or phrase.

[Assistant] 63

[User]
a train traveling at 42 kms / hr passes a cyclist going in the same direction in 9 secs. if the cyclist had been going in the opposite direction, the train would have passed him in 5 secs. find the length of the train.
Answer the question using a single word or phrase.

[Assistant] 75 meters

[User]
the mean daily profit made by a shopkeeper in a month of 30 days was rs. 350. if the mean profit for the first fifteen days was rs. 245, then the mean profit for the last 15 days would be
Answer the question using a single word or phrase.

[Assistant] rs. 455


[User]
in what ratio should a variety of rice costing rs. 5.5 per kg be mixed with another variety of rice costing rs. 8.75 per kg to obtain a mixture costing rs. 7.50 per kg?
Answer the question using a single word or phrase.

[Assistant] 5 / 8

[User]
john can complete a given task in 16 days. jane will take only 12 days to complete the same task. john and jane set out to complete the task by beginning to work together. however, jane was indisposed 5 days before the work got over. in how many days did the work get over from the time john and jane started to work on it together?
Answer the question using a single word or phrase.

[Assistant] 68 / 7

[User]
what is the least positive integer that is not a factor of 30! and is not a prime number?
Answer the question using a single word or phrase.

[Assistant] 62

[User]
if the true discount on a sum due 3 years hence at 14 % per annum be rs. 168, the sum due is :
Answer the question using a single word or phrase.

[Assistant] 768

[User]
find the slope of the line perpendicular to the line y = ( 1 / 5 ) x - 7
Answer the question using a single word or phrase.

[Assistant] - 5


[User]
each child has 2 pencils and 13 skittles. if there are 9 children, how many pencils are there in total?
Answer the question using a single word or phrase.

[Assistant] 18

[User]
a 1200 m long train crosses a tree in 120 sec, how much time will i take to pass a platform 400 m long?
Answer the question using a single word or phrase.

[Assistant] 160 sec

[User]
the average of 13 numbers is 59. average of the first 7 of them is 57 and that of the last 7 is 61. find the 8 th number?
Answer the question using a single word or phrase.

[Assistant] 59

[User]
x is a positive integer less than 400. when x is divided by 7, the remainder is 1 ; when x is divided by 3, the remainder is 2. how many x are there?
Answer the question using a single word or phrase.

[Assistant] 23

[User]
a 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 8 sec. what is the length of the platform?
Answer the question using a single word or phrase.

[Assistant] 1162.5 m


[User]
the rate of increase of the price of sugar is observed to be 3 percent more than the inflation rate expressed in percentage. the price of sugar, on january 1, 1994, is rs. 25 per kg. the inflation rate for the years 1994 and 1995 are expected to be 12 % each. the expected price of sugar on january 1, 1996 would be
Answer the question using a single word or phrase.

[Assistant] 33.06

[User]
a metallic sheet is of rectangular shape with dimensions 30 m x 25 m. from each of its corners, a square is cut off so as to make an open box. if the length of the square is 6 m, the volume of the box ( in m cube ) is :
Answer the question using a single word or phrase.

[Assistant] none of these

[User]
average weight of 10 people increased by 3 kg when one person of 45 kg is replaced by a new man. then weight of the new man is
Answer the question using a single word or phrase.

[Assistant] 75

[User]
find the average of all numbers between 4 and 41 which are divisible by 5
Answer the question using a single word or phrase.

[Assistant] 22.5

[User]
the value of log 5 ( 1 / 125 ) is
Answer the question using a single word or phrase.

[Assistant] - 3


[User]
a train 280 m long, running with a speed of 63 km / hr will pass a tree in?
Answer the question using a single word or phrase.

[Assistant] 16 sec

[User]
at a certain bowling alley, it costs $ 1 to rent bowling shoes for the day and $ 1.25 to bowl 1 game. if a person has $ 12.80 and must rent shoes, what is the greatest number of complete games that person can bowl in one day?
Answer the question using a single word or phrase.

[Assistant] 9

[User]
sales price is $ 54, gross profit is 125 % of cost, what is the value of gross profit?
Answer the question using a single word or phrase.

[Assistant] 30

[User]
two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 22 kmph and 21 kmph respectively. when they meet, it is found that one train has traveled 60 km more than the other one. the distance between the two stations is?
Answer the question using a single word or phrase.

[Assistant] 516

[User]
marketing executives for a certain chewing gum company projected a 20 percent increase in revenue this year over that of last year, but revenue this year actually decreased by 10 %. what percent of the projected revenue was the actual revenue?
Answer the question using a single word or phrase.

[Assistant] 75 %


[User]
if the l. c. m of two numbers is 750 and their product is 18750, find the h. c. f of the numbers
Answer the question using a single word or phrase.

[Assistant] 25

[User]
in a certain pet shop, the ratio of dogs to cats to bunnies in stock is 3 : 7 : 12. if the shop carries 375 dogs and bunnies total in stock, how many dogs are there?
Answer the question using a single word or phrase.

[Assistant] 75

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

[Assistant] 120

[User]
a sum of money at simple interest amounts to rs. 830 in 3 years and to rs. 854 in 4 years. the sum is :
Answer the question using a single word or phrase.

[Assistant] 758

[User]
a person p takes 4 hrs time to complete a job and q takes 6 hrs to complete the same job if they work together how much time will they require to complete the job?
Answer the question using a single word or phrase.

[Assistant] 2.4 hrs


[User]
a shopkeeper fixes the marked price of an item 35 % above its cost price. the percentage of discount allowed to gain 8 % is
Answer the question using a single word or phrase.

[Assistant] 20 %

[User]
if the cost price of 22 articles is equal to the selling price of 16 articles, what is the percentage of profit or loss that the merchant makes?
Answer the question using a single word or phrase.

[Assistant] 37.5 % profit

[User]
six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. in 30 minutes, how many times do they toll together?
Answer the question using a single word or phrase.

[Assistant] 16

[User]
at what rate percent per annum will the simple interest on a sum of money be 4 / 5 of the amount in 10 years?
Answer the question using a single word or phrase.

[Assistant] 8 %

[User]
the area of a rectangular field is equal to 300 square meters. its perimeter is equal to 70 meters. find the length of this rectangle.
Answer the question using a single word or phrase.

[Assistant] 20


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

[Assistant] 2.4 km

[User]
a sum fetched a total simple interest of $ 4106.25 at the rate of 9 p. c. p. a. in 5 years. what is the sum?
Answer the question using a single word or phrase.

[Assistant] $ 8927

[User]
a small pool filled only with water will require an additional 300 gallons of water in order to be filled to 75 % of its capacity. if pumping in these additional 300 gallons of water will increase the amount of water in the pool by 30 %, what is the total capacity of the pool in gallons?
Answer the question using a single word or phrase.

[Assistant] 1733.33

[User]
the profit earned by selling an article for $ 832 is equal to the loss incurred when the same article is sold for $ 448. what should be the sale price for making 45 % profit?
Answer the question using a single word or phrase.

[Assistant] $ 928

[User]
a motorist travels to a place 150 km away at an average speed of 50 km / hr and returns at 30 km / hr. his average speed for the whole journey in km / hr is?
Answer the question using a single word or phrase.

[Assistant] 37.5


[User]
4685 * 999
Answer the question using a single word or phrase.

[Assistant] 4680315

[User]
40 persons like apple. 7 like orange and mango dislike apple. 10 like mango and apple and dislike orange. 5 like all. how many people like apple?
Answer the question using a single word or phrase.

[Assistant] 48

[User]
a textile manufacturing firm employees 56 looms. it makes fabrics for a branded company. the aggregate sales value of the output of the 56 looms is rs 5, 00,000 and the monthly manufacturing expenses is rs 1, 50,000. assume that each loom contributes equally to the sales and manufacturing expenses are evenly spread over the number of looms. monthly establishment charges are rs 75000. if one loom breaks down and remains idle for one month, the decrease in profit is :
Answer the question using a single word or phrase.

[Assistant] 6250

[User]
a factory produces 5505 toys per week. if the workers at this factory work 5 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] 1101 toys

[User]
8 men, working 8 hours a day can complete a work in 24 days. how many hours a day must 12 men work to complete the same work in 16 days?
Answer the question using a single word or phrase.

[Assistant] 8


[User]
in a rectangular coordinate system, what is the area of a rectangle whose vertices have the coordinates ( - 9, 1 ), ( 1, 1 ), ( 1, - 8 ) and ( - 9, - 8 )?
Answer the question using a single word or phrase.

[Assistant] 90

[User]
company s produces two kinds of stereos : basic and deluxe. of the stereos produced by company s last month, 1 / 3 were basic and the rest were deluxe. if it takes 7 / 5 as many hours to produce a deluxe stereo as it does to produce a basic stereo, then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos?
Answer the question using a single word or phrase.

[Assistant] 14 / 19

[User]
a train is 460 meter long is running at a speed of 45 km / hour. in what time will it pass a bridge of 140 meter length?
Answer the question using a single word or phrase.

[Assistant] 48 seconds

[User]
joe needs to paint all the airplane hangars at the airport, so he buys 360 gallons of paint to do the job. during the first week, he uses 1 / 4 of all the paint. during the second week, he uses 1 / 6 of the remaining paint. how many gallons of paint has joe used?
Answer the question using a single word or phrase.

[Assistant] 135

[User]
a train 100 m long crosses a platform 180 m long in 14 sec ; find the speed of the train?
Answer the question using a single word or phrase.

[Assistant] 72 kmph


[User]
a meal cost $ 48.75 adn there was no tax. if the tip was more than 5 pc but less than 20 pc of the price, then the total amount paid should be :
Answer the question using a single word or phrase.

[Assistant] 51 - 59

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

[Assistant] 13.7

[User]
a basket of 1430 apples is divided equally among a group of apple lovers. if 45 people join the group, each apple lover would receive 9 apples less. how many apples f did each person get before 45 people joined the feast?
Answer the question using a single word or phrase.

[Assistant] 22.

[User]
an exam consists of 2 true / false questions. brian forgets to study, so he must guess blindly on each question. if any score above 70 % is a passing grade, what is the probability that brian passes?
Answer the question using a single word or phrase.

[Assistant] 1 / 16

[User]
the average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 28 years. find the average age of the women?
Answer the question using a single word or phrase.

[Assistant] 32


[User]
a girl was riding her scooter. her father wanted to calculate her speed. he knew that the street was 600 meters from end to end. he saw his daughter make the roundtrip 6 times. it took her 20 minutes to complete those 6 trips. how fast was the girl riding her scooter in kilometers per hour?
Answer the question using a single word or phrase.

[Assistant] 2.4

[User]
the ratio of two quantities is 2 : 3. if each of the quantities is increased by 6, what is the ratio of the new quantities?
Answer the question using a single word or phrase.

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

[User]
a rower whose speed is 2.5 km / hr in still water rows to a certain point upstream and back to the starting point in a river which flows at 0.5 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] 2.4

[User]
in what ratio should a variety of wheat costing rs. 3 per kg be mixed with another variety of wheat costing rs. 6.25 per kg to obtain a mixture costing rs. 4.50 per kg?
Answer the question using a single word or phrase.

[Assistant] 7 : 6

[User]
in a rectangular axis system, what is the area of a parallelogram with the coordinates : ( 5,3 ), ( 8,3 ), ( 4,5 ), ( 7,5 )?
Answer the question using a single word or phrase.

[Assistant] 6.


[User]
find the amount on rs. 8000 in 2 years, the rate of interest being 4 % per first year and 5 % for the second year?
Answer the question using a single word or phrase.

[Assistant] 8736

[User]
of the 1000 inhabitants of a town, 60 % are males of whom 20 % are literate. if, of all the inhabitants, 25 % are literate, then what percent of the females of the town are literate?
Answer the question using a single word or phrase.

[Assistant] 32.5

[User]
how much water must be added to 68 litres of milk at 1 1 ⁄ 2 litres for 20 so as to have a mixture worth 10 2 ⁄ 3 a litre?
Answer the question using a single word or phrase.

[Assistant] 17 litres

[User]
i bought two books ; for rs. 600. 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] 350

[User]
if x is to be chosen at random from the set { 1, 2, 3, 4 } and y is to be chosen at random from the set { 5, 6, 7, 8 }, what is the probability that xy will be even?
Answer the question using a single word or phrase.

[Assistant] 1 / 2


[User]
the largest four digit number which is a multiple of 8, 10,12 and 15 is :
Answer the question using a single word or phrase.

[Assistant] 9960

[User]
in how many ways can the integer 84 be expressed as a product of two different positive integers?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
find the value of y from ( 12 ) ^ 3 x 6 ^ 2 ÷ 432 = y?
Answer the question using a single word or phrase.

[Assistant] 144

[User]
a man buys an article for $ 20. and sells it for $ 35. find the gain percent?
Answer the question using a single word or phrase.

[Assistant] 75 %

[User]
a ball dropped from h height and moves 80 % of height each time. total distance covered is
Answer the question using a single word or phrase.

[Assistant] 9 h


[User]
calculate 73196 ÷? = 631
Answer the question using a single word or phrase.

[Assistant] 116

[User]
two trains of equal length, running with the speeds of 60 and 20 kmph, take 50 seconds to cross each other while they are running in the same direction. what time will they take to cross each other if they are running in opposite directions?
Answer the question using a single word or phrase.

[Assistant] 12.5

[User]
on the number line, the number p is twice as many units from - 2 as - 2 is from 7. if p is less than – 2, what is the value of p?
Answer the question using a single word or phrase.

[Assistant] – 20

[User]
find value for x from below equation? x + 1 = 4
Answer the question using a single word or phrase.

[Assistant] 3

[User]
find large number from below question the difference of two numbers is 1325. on dividing the larger number by the smaller, we get 5 as quotient and the 5 as remainder
Answer the question using a single word or phrase.

[Assistant] 1650


[User]
jo's collection contains us, indian and british stamps. if the ratio of us to indian stamps is 4 to 2 and the ratio of indian to british stamps is 5 to 1, what is the ratio of us to british stamps?
Answer the question using a single word or phrase.

[Assistant] 20 : 2

[User]
if 11 boys meet at a reunion and each boy shakes hands exactly once with each of the others, then what is the total number of handshakes
Answer the question using a single word or phrase.

[Assistant] 55

[User]
0.0005215 / 0.000305 x 6.2 =?
Answer the question using a single word or phrase.

[Assistant] 10.6

[User]
the output of a factory was increased by 10 % to keep up with rising demand. to handle the holiday rush, this new output was increased by 25 %. by approximately what percent would the output now have to be decreased in order to restore the original output?
Answer the question using a single word or phrase.

[Assistant] 27 %

[User]
a and b started a business investing rs. 24,000 and rs 18,000 respectively. in what ratio the profit earned after 2 years be divided between a and b respectively?
Answer the question using a single word or phrase.

[Assistant] 4 : 3


[User]
find 283 / 1983 × 100
Answer the question using a single word or phrase.

[Assistant] 14.21

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

[Assistant] 0.5

[User]
compound x contains elements a and b at an approximate ratio, by weight, of 2 : 10. approximately how many grams of element b are there in 342 grams of compound x?
Answer the question using a single word or phrase.

[Assistant] 280

[User]
a certain article of clothing was discounted during a special sale to 4 / 5 of its original retail price. when the clothing did n't sell, it was discounted even further to 1 / 2 of its original retail price during a second sale. by what percent did the price of this article of clothing decrease from the first sale to the second sale?
Answer the question using a single word or phrase.

[Assistant] 40 %

[User]
income and expenditure of a person are in the ratio 8 : 7. if the income of the person is rs. 40000, then find his savings?
Answer the question using a single word or phrase.

[Assistant] 5000


[User]
workers decided to raise rs. 3 lacs by equal contribution from each. had they contributed rs. 50 eachextra, the contribution would have been rs. 3.50 lacs. how many workers were they?
Answer the question using a single word or phrase.

[Assistant] 1000

[User]
how many positive integers less than 60 have a reminder 01 when divided by 4?
Answer the question using a single word or phrase.

[Assistant] 15

[User]
a boat goes 100 km downstream in 10 hours, and 200 km upstream in 25 hours. the speed of the stream is?
Answer the question using a single word or phrase.

[Assistant] 1

[User]
if 25 % of x is 30 less than 20 % of 1000, then x is?
Answer the question using a single word or phrase.

[Assistant] 680

[User]
mr. bhaskar is on tour and he has rs. 360 for his expenses. if he exceeds his tour by 4 days, he must cut down his daily expenses by rs. 3. for how many days is mr. bhaskar on tour?
Answer the question using a single word or phrase.

[Assistant] 20


[User]
a cube of side 4 meter length is cut into small cubes of side 25 cm each. how many such small cubes can be obtained?
Answer the question using a single word or phrase.

[Assistant] 4096

[User]
on a certain date, pat invested $ 6,000 at x percent annual interest, compounded annually. if the total value of the investment plus interest at the end of 10 years will be $ 24,000, in how many years total will the total value of the investment plus interest increase to $ 48,000?
Answer the question using a single word or phrase.

[Assistant] 15

[User]
if | y + 7 | = 12, what is the sum of all the possible values of y?
Answer the question using a single word or phrase.

[Assistant] - 14

[User]
the tax on a commodity is diminished by 15 % and its consumption increased by 10 %. the effect on revenue is?
Answer the question using a single word or phrase.

[Assistant] 6.5

[User]
positive integer y is 50 percent of 50 percent of positive integer x, and y percent of x equals 25. what is the value of x?
Answer the question using a single word or phrase.

[Assistant] 100


[User]
cindy has her eye on a sundress but thinks it is too expensive. it goes on sale for 15 % less than the original price. before cindy can buy the dress, however, the store raises the new price by 25 %. if the dress cost $ 78.2 after it went on sale for 15 % off, what is the difference between the original price and the final price?
Answer the question using a single word or phrase.

[Assistant] $ 5.75

[User]
evaluate 20 % of 450 + 45 % of 200
Answer the question using a single word or phrase.

[Assistant] 180

[User]
which greatest possible length can be used to measure exactly 12 meter 34 cm, 8 meter 98 cm and 6 meter 65 cm
Answer the question using a single word or phrase.

[Assistant] 1 cm

[User]
working together, printer a and printer b would finish the task in 20 minutes. printer a alone would finish the task in 60 minutes. how many pages does the task contain if printer b prints 4 pages a minute more than printer a?
Answer the question using a single word or phrase.

[Assistant] 240

[User]
a perfect square is defined as the square of an integer and a perfect cube is defined as the cube of an integer. how many positive integers n are there such that n is less than 20,000 and at the same time n is a perfect square and a perfect cube?
Answer the question using a single word or phrase.

[Assistant] 5


[User]
if 20 liters of chemical x are added to 80 liters of a mixture that is 30 % chemical x and 70 % chemical y, then what percentage of the resulting mixture is chemical x?
Answer the question using a single word or phrase.

[Assistant] 44 %

[User]
the present population of a town is 60000. the population increases annually at 10 %. find the population after 3 years.
Answer the question using a single word or phrase.

[Assistant] 79860

[User]
sam ’ s car was fined when he gave joe and peter a ride, so they decided to help sam pay the fine. joe paid $ 4 more than 1 / 4 of the fine and peter paid $ 4 less than 1 / 3 of the fine, leaving pay $ 5 less than 1 / 2 the fine to complete the payment. what fraction of the fine did sam pay?
Answer the question using a single word or phrase.

[Assistant] $ 25

[User]
the total car population in a chennai is 900 out of which 500 are made by honda. out of every 100 honda cars, 90 are red in color, but only 60 % of the total car population is red. find the % of non - honda cars that are red
Answer the question using a single word or phrase.

[Assistant] 22.5 %

[User]
find the least number of 5 digits which is exactly divisible by 12, 15 and 18?
Answer the question using a single word or phrase.

[Assistant] 10080


[User]
if 9 a - b = 10 b + 80 = - 12 b - 2 a, what is the value of 2 a + 22 b?
Answer the question using a single word or phrase.

[Assistant] - 80

[User]
a can do a work in 24 days and b can do it in 8 days. in how many days a and b can do the work?
Answer the question using a single word or phrase.

[Assistant] 6 days

[User]
the difference between the ages of two persons is 10 years. fifteen years ago, the elder one was twice as old as the younger one. the present age of the elder person is :
Answer the question using a single word or phrase.

[Assistant] 35 years

[User]
sandy gets 3 marks for each correct sum and loses 2 marks for each incorrect sum. sandy attempts 30 sums and obtains 65 marks. how many sums did sandy get correct?
Answer the question using a single word or phrase.

[Assistant] 25

[User]
the average weight of 4 persons increases by 1.5 kg. if a person weighing 65 kg is replaced by a new person, what could be the weight of the new person?
Answer the question using a single word or phrase.

[Assistant] 71 kg


[User]
convert 0.38 in to a vulgar fraction?
Answer the question using a single word or phrase.

[Assistant] 19 / 50

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

[Assistant] rs. 60.

[User]
when tossed, a certain coin has equal probability of landing on either side. if the coin is tossed 5 times, what is the probability that it will land on either side all 5 times?
Answer the question using a single word or phrase.

[Assistant] 1 / 16

[User]
a farmer spent $ 35 on feed for chickens and goats. he spent 40 % money on chicken feed, which he bought at a 10 % discount off the full price, and spent the rest on goat feed, which he bought at full price. if the farmer had paid full price for both the chicken feed and the goat feed, what amount would he have spent on the chicken feed and goat feed combined?
Answer the question using a single word or phrase.

[Assistant] $ 36.55

[User]
three numbers are in the ratio 3 : 4 : 5 and their l. c. m. is 240. their h. c. f is?
Answer the question using a single word or phrase.

[Assistant] 4


[User]
a cistern is normally filled in 14 hours but takes two hours longer to fill because of a leak in its bottom. if the cistern is full, the leak will empty it in?
Answer the question using a single word or phrase.

[Assistant] 112

[User]
the overall age of x and y is 15 year greater than the overall age of y and z. z is how many decades younger that x?
Answer the question using a single word or phrase.

[Assistant] 15

[User]
sachin is younger than rahul by 5 years. if the ratio of their ages is 7 : 9, find the age of sachin
Answer the question using a single word or phrase.

[Assistant] 15.5

[User]
two goods trains each 500 m long are running in opposite directions on parallel tracks. their speeds are 42 km / hr and 30 km / hr respectively. find the time taken by the slower train to pass the driver of the faster one?
Answer the question using a single word or phrase.

[Assistant] 50

[User]
julie put half of her savings in a savings account that pays an annual simple interest and half in a savings account that pays an annual compound interest. after two years she earned $ 128 and $ 140 from the simple interest account and the compound interest account respectively. if the interest rates for both accounts were the same, what was the amount of julie's initial savings?
Answer the question using a single word or phrase.

[Assistant] 640


[User]
every student in a room is either a junior or a senior. there is at least one junior and at least one senior in the room. if 2 / 5 of the juniors is equal to 1 / 3 of the seniors, what fraction of the students in the room are juniors?
Answer the question using a single word or phrase.

[Assistant] 5 / 11

[User]
dominos charges $ 6.25 for a veg pizza of std size that costs a total of $ 2.85 to make. pizza hut charges $ 5.80 for a similar pizza that costs $ 1.80 to make. if dominos sells 2000 pizzas, how many must pizza hut sell to make at least as much in total gross profit as its competitor does?
Answer the question using a single word or phrase.

[Assistant] 1875

[User]
a certain company reported that the revenue on sales increased 20 % from 2000 to 2003, and increased 40 % from 2000 to 2005. what was the approximate percent increase in revenue for this store from 2003 to 2005?
Answer the question using a single word or phrase.

[Assistant] 17 %

[User]
the average height of 30 students in a class was calculated as 175 cm. it has later found that the height of one of the students in the class was incorrectly written as 151 cm whereas the actual height was 136 cm. what was the actual average height of the students in the class?
Answer the question using a single word or phrase.

[Assistant] 174.5

[User]
how many integers are between 2 and 57 / 7, inclusive?
Answer the question using a single word or phrase.

[Assistant] 7


[User]
mr. john used to purchase certain number of mangoes for $ 360 since the price of mangoes is reduced by 10 % he got 12 more mangoes today. find the original price of 130 mangoes.
Answer the question using a single word or phrase.

[Assistant] 433

[User]
if 3 a – 2 b – 2 c = 32 and √ 3 a - √ ( 2 b + 2 c ) = 5, what is the value of a + b + c?
Answer the question using a single word or phrase.

[Assistant] 9

[User]
if n is a positive integer and the product of all the integers from 1 to n, inclusive, is a multiple of 1000, what is the least possible value of n?
Answer the question using a single word or phrase.

[Assistant] 15

[User]
in the first m games of a team's season, the ratio of the team's wins to its losses was 1 : 2. in the subsequent n games, the ratio of the team ´ s wins to losses was 1 : 4. if m : n = 4 : 5, what was the ratio of the team's wins to its losses for all m + n games?
Answer the question using a single word or phrase.

[Assistant] 7 : 20

[User]
in an it company, there are a total of 120 employees including 50 programmers. the number of male employees is 80, including 35 male programmers. how many employees must be selected to guaranty that we have 3 programmers of the same sex?
Answer the question using a single word or phrase.

[Assistant] 75


[User]
a and b can do a piece of work in 6 days, b and c in 8 days, c and a in 12 days. how long will c take to do it?
Answer the question using a single word or phrase.

[Assistant] 48 days

[User]
john can row at 5 kmph and still water. he takes 5 hours to row from a to b and back. what is the distance between a and b if the speed of the stream is 1 kmph?
Answer the question using a single word or phrase.

[Assistant] 12 km

[User]
a semicircle has a radius of 12. what is the approximate perimeter of the semicircle?
Answer the question using a single word or phrase.

[Assistant] 62

[User]
a certain sum of money is divided among a, b and c so that for each rs. a has, b has 65 paisa and c 40 paisa. if c's share is rs. 64, find the sum of money?
Answer the question using a single word or phrase.

[Assistant] 328

[User]
sonika bought a v. c. r. at the list price of 18,400. if the rate of sales tax was 8 %, find the amount she had to pay for purchasing the v. c. r.
Answer the question using a single word or phrase.

[Assistant] 19,872


[User]
if x is equal to the sum of the integers from 60 to 80, inclusive, and y is the number of even integers from 60 to 80, inclusive, what is the value of x + y?
Answer the question using a single word or phrase.

[Assistant] 1481

[User]
a mixture contains alcohol and water in the ratio 2 : 5. if 10 liters of water is added to the mixture, the ratio becomes 2 : 7. find the quality of alcohol in the given mixture.
Answer the question using a single word or phrase.

[Assistant] 10

[User]
in the biology lab of ` ` jefferson ''high school there are 5.4 * 10 ^ 6 germs, equally divided among 10800 petri dishes. how many germs live happily in a single dish?
Answer the question using a single word or phrase.

[Assistant] 500

[User]
if x is 11 percent greater than 80, then x =
Answer the question using a single word or phrase.

[Assistant] 88.8

[User]
a, b and c completed a piece of work, a worked for 6 days, b for 9 days and c for 4 days. their daily wages were in the ratio of 3 : 4 : 5. find the daily wages of c, if their total earning was rs. 1628?
Answer the question using a single word or phrase.

[Assistant] s. 110


[User]
8 people decided to split the restaurant bill evenly. if the bill was $ 314.12 dollars, how much money did they 1 cent is the smallest unit?
Answer the question using a single word or phrase.

[Assistant] $ 314.16

[User]
the average ( arithmetic mean ) monthly income of 4 workers is $ 1000. after one worker ’ s income increases by 50 percent the new average income is $ 1200. what was the original income of the worker whose monthly income increased?
Answer the question using a single word or phrase.

[Assistant] $ 1,600

[User]
if the numerator of a fraction be increased by 15 % and its denominator be diminished by 8 %, the value of the fraction is 15 / 16. find the original fraction.
Answer the question using a single word or phrase.

[Assistant] 3 / 4

[User]
in town x, 72 percent of the population are employed, and 36 percent of the population are employed males. what percent of the employed people in town x are females?
Answer the question using a single word or phrase.

[Assistant] 50 %

[User]
the radius of a wheel is 22.4 cm. what is the distance covered by the wheel in making 100 resolutions.
Answer the question using a single word or phrase.

[Assistant] 141 m


[User]
speed of a boat in standing water is 9 kmph and the speed of the stream is 6 kmph. a man rows to place at a distance of 210 km and comes back to the starting point. the total time taken by him is :
Answer the question using a single word or phrase.

[Assistant] 84 hours

[User]
a cistern 9 m long and 4 m wide contains water up to a depth of 1 m 25 cm. the total area of the wet surface is :
Answer the question using a single word or phrase.

[Assistant] 68.5 m 2

[User]
at a contest with 2,500 participants, 1 / 2 of the people are aged 10 to 12. next year, the number of people aged 10 to 12 will increase by 1 / 5. after this change, what percentage of the total 2,500 people will the 10 - to 12 - year - olds represent?
Answer the question using a single word or phrase.

[Assistant] 60 %

[User]
a boat can travel with a speed of 24 km / hr in still water. if the speed of the stream is 4 km / hr, find the time taken by the boat to go 140 km downstream
Answer the question using a single word or phrase.

[Assistant] 5 hours

[User]
there are 10 pairs of socks and 2 socks are worn from that such that the pair of socks worn are not of the same pair. what is the number of pair that can be formed.
Answer the question using a single word or phrase.

[Assistant] 90


[User]
find out the ratio of milk to that of water, if a mixture is formed after mixing milk and water of 3 different vessels containning the mixture of milk to that of water in the proportion 3 : 2, 7 : 3, 9 : 2 respectively.
Answer the question using a single word or phrase.

[Assistant] 233 : 97

[User]
a student scored an average of 85 marks in 3 subjects : physics, chemistry and mathematics. if the average marks in physics and mathematics is 90 and that in physics and chemistry is 70, what are the marks in physics?
Answer the question using a single word or phrase.

[Assistant] 65

[User]
abce is an isosceles trapezoid and acde is a rectangle. ab = 10 and ec = 20. what is the length of ae.
Answer the question using a single word or phrase.

[Assistant] 10

[User]
evaluate 24.39 + 562.093 + 35.96
Answer the question using a single word or phrase.

[Assistant] 622.443

[User]
rs 3400 is divided into two parts such that one part is put out at 3 % and the other at 5 %. if the annual interest earned from both the investments be rs 144, find the first part.
Answer the question using a single word or phrase.

[Assistant] s 1300


[User]
at a certain college, 40 percent of the total number of students are freshmen. if 50 percent of the fresh - men are enrolled in the school of liberal arts and, of these, 50 percent are psychology majors, what percent of the students at the college are freshmen psychology majors enrolled in the school of liberal arts?
Answer the question using a single word or phrase.

[Assistant] 10 %

[User]
90 students represent x percent of the boys at jones elementary school. if the boys at jones elementary make up 40 % of the total school population of x students, what is x?
Answer the question using a single word or phrase.

[Assistant] 150

[User]
in x game of billiards, x can give y 20 points in 60 and he can give z 30 points in 60. how many points can y give z in x game of 100?
Answer the question using a single word or phrase.

[Assistant] 25

[User]
3500 – ( 1000 ÷ 20.50 ) is equal to :
Answer the question using a single word or phrase.

[Assistant] 3451.21

[User]
a man swims downstream 60 km and upstream 40 km taking 4 hours each time ; what is the speed of the current?
Answer the question using a single word or phrase.

[Assistant] 2.5 kmph


[User]
two trains of equal length 120 metres move in the same direction. the faster train completely overtakes the slower one in 15 seconds. if the slower train were to move at half its speed, the over taking would take in 10 seconds. at what speeds are the 2 trains moving ( faster and slower respectively in m / s )
Answer the question using a single word or phrase.

[Assistant] 32, 16

[User]
present ages of abi and suji are in the ratio of 5 : 4 respectively. 3 years hence, the ratio of their ages will become 11 : 9 respectively. what is suji's present age in years?
Answer the question using a single word or phrase.

[Assistant] 24

[User]
a can do a work in 15 days and b in 20 days. if they work on it together for 4 days, then the fraction of the work that is left is?
Answer the question using a single word or phrase.

[Assistant] 8 / 15

[User]
let f ( x ) = x ^ 2 + bx + c. if f ( 1 ) = 0 and f ( - 7 ) = 0, then f ( x ) crosses the y - axis at what y - coordinate?
Answer the question using a single word or phrase.

[Assistant] - 7

[User]
the ratio of flour to water to sugar in a recipe is 8 : 4 : 3. the ratio in a new recipe calls for a doubling of the ratio of flour to water from the original recipe and a halving of the ratio of flour to sugar. if the new recipe calls for 2 cups of water, how much sugar is required?
Answer the question using a single word or phrase.

[Assistant] 6


[User]
a train 165 meters long is running with a speed of 60 kmph. in what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Answer the question using a single word or phrase.

[Assistant] 9

[User]
joan took out a mortgage from hel local bank. each monthly mortgage payment she makes must be triple the amount of the previous month's payment. if her first payment is $ 100, and the total amount she must pay back is $ 12100, how many months will it take joan to pay back her mortgage?
Answer the question using a single word or phrase.

[Assistant] 5

[User]
s ( n ) is a n - digit number formed by attaching the first n perfect squares, in order, into one integer. for example, s ( 1 ) = 1, s ( 2 ) = 14, s ( 3 ) = 149, s ( 4 ) = 14916, s ( 5 ) = 1491625, etc. how many digits q are in s ( 99 )?
Answer the question using a single word or phrase.

[Assistant] q = 353

[User]
bhanu spends 30 % of his income on petrol on scooter 30 % of the remaining on house rent and the balance on food. if he spends rs. 300 on petrol then what is the expenditure on house rent?
Answer the question using a single word or phrase.

[Assistant] 210

[User]
at veridux corporation, there are 250 employees. of these, 90 are female, and the rest are males. there are a total of 40 managers, and the rest of the employees are associates. if there are a total of 150 male associates, how many female managers are there?
Answer the question using a single word or phrase.

[Assistant] 30


[User]
the average height of 35 boys in a class was calculated as 183 cm. it has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. find the actual average height of the boys in the class ( round off your answer to two decimal places ).?
Answer the question using a single word or phrase.

[Assistant] 181.29 cm

[User]
65 + 5 * 12 / ( 180 / 3 ) =?
Answer the question using a single word or phrase.

[Assistant] 66

[User]
what is the ratio between perimeters of two squares one having 1.5 times the diagonal then the other?
Answer the question using a single word or phrase.

[Assistant] 1.5 : 1

[User]
a circular garden is surrounded by a fence of negligible width along the boundary. if the length of the fence is 1 / 6 of th area of the garden. what is the radius of the circular garden?
Answer the question using a single word or phrase.

[Assistant] 12

[User]
what is the 28 th digit to the right of the decimal point in the decimal form of 4 / 11?
Answer the question using a single word or phrase.

[Assistant] 6


[User]
the radius of the wheel of a bus is 140 cms and the speed of the bus is 66 km / h, then the r. p. m. ( revolutions per minutes ) of the wheel is
Answer the question using a single word or phrase.

[Assistant] 125

[User]
a can finish a work in 15 days and b can do the same work in 15 days. b worked for 10 days and left the job. in how many days, a alone can finish the remaining work?
Answer the question using a single word or phrase.

[Assistant] 5

[User]
in the county of veenapaniville, there are a total of 50 high schools, of 3 kinds : 25 public schools, 16 parochial schools, and 9 private independent schools. these 50 schools are divided between 3 districts : a, b, and c. district a has 18 high schools total. district b has 17 high schools total, and only two of those are private independent schools. if district c has an equal number of each of the 3 kinds of schools, how many private independent schools are there in district a?
Answer the question using a single word or phrase.

[Assistant] 2

[User]
a train traveling at 100 kmph overtakes a motorbike traveling at 64 kmph in 12 seconds. what is the length of the train in meters?
Answer the question using a single word or phrase.

[Assistant] 120 meters

[User]
how many positive integers less than 22 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] 17


[User]
the average weight of 19 students is 15 kg. by the admission of a new student the average weight is reduced to 14.4 kg. the weight of the new student is?
Answer the question using a single word or phrase.

[Assistant] 3 kg

[User]
a, b, c can complete a piece of work in 21, 6,12 days. working together, they complete the same work in how many days?
Answer the question using a single word or phrase.

[Assistant] 84 / 25

[User]
ratio between rahul and deepak is 4 : 3, after 6 years rahul age will be 26 years. what is deepak present age
Answer the question using a single word or phrase.

[Assistant] 15

[User]
a new model car was not selling as expected and the base retail price was lowered by 5 % to increase sales. a customer haggled on the price and negotiated a final agreed price of 90 % of the retail price. how much did the customer save off the retail price?
Answer the question using a single word or phrase.

[Assistant] 14.5 %

[User]
a machine, working at a constant rate, manufactures 40 pencils in 30 minutes. how many pencils does it make in 1 hr 30 min?
Answer the question using a single word or phrase.

[Assistant] 120


[User]
sandy buys an old scooter for $ 900 and spends $ 300 on its repairs. if sandy sells the scooter for $ 1320, what is the gain percent?
Answer the question using a single word or phrase.

[Assistant] 10 %

[User]
the cross - section of a cannel is a trapezium in shape. if the cannel is 8 m wide at the top and 2 m wide at the bottom and the area of cross - section is 770 sq m, the depth of cannel is?
Answer the question using a single word or phrase.

[Assistant] 154

[User]
a train traveling at 100 kmph overtakes a motorbike traveling at 64 kmph in 80 seconds. what is the length of the train in meters?
Answer the question using a single word or phrase.

[Assistant] 800 meters

[User]
if 8 men can reap 80 hectares in 24 days, then how many hectares can 36 men reap in 30 days?
Answer the question using a single word or phrase.

[Assistant] 450

[User]
1 / 4 of all married couples have more than one child. 1 / 5 of all married couples have more than 3 children. what fraction of all married couples have 2 or 3 children?
Answer the question using a single word or phrase.

[Assistant] 1 / 20


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

[Assistant] 75

[User]
a man can row downstream at the rate of 26 kmph and upstream at 12 kmph. find the man ’ s rate in still water and rate of current?
Answer the question using a single word or phrase.

[Assistant] 7.0

[User]
in a renowned city, the average birth rate is 7 people every two seconds and the death rate is 1 people every two seconds. estimate the size of the population net increase that occurs in one day.
Answer the question using a single word or phrase.

[Assistant] 259,200

[User]
each week, harry is paid x dollars per hour for the first 30 hours and 1.5 x dollars for each additional hour worked that week. each week, james is paid x dollars per per hour for the first 40 hours and 2 x dollars for each additional hour worked that week. last week james worked a total of 45 hours if harry and james were paid the same amount last week, how many hours did harry work last week?
Answer the question using a single word or phrase.

[Assistant] 43

[User]
a certain cube floating in a bucket of water has between 60 and 85 percent of its volume below the surface of the water. if between 9 and 26 cubic centimeters of the cube's volume is above the surface of the water, then the length of a side of the cube is approximately
Answer the question using a single word or phrase.

[Assistant] 4


[User]
how long does a train 150 m long running at the speed of 72 km / hr takes to cross a bridge 132 m length?
Answer the question using a single word or phrase.

[Assistant] 14.1 sec

[User]
the weights of one liter vegetable ghee packet of two brands ‘ a ’ and ‘ b ’ are 900 gm and 800 gm respectively. if they are mixed in the ratio of 3 : 2 by volumes to form a mixture of 4 liters, what is the weight ( in kg ) of the mixture?
Answer the question using a single word or phrase.

[Assistant] 3.44

[User]
what is the unit ’ s digit of 7 ^ 7
Answer the question using a single word or phrase.

[Assistant] 3

[User]
the list price of an article is rs. 70. a customer pays rs. 61.11 for it. he was given two successive discounts, one of them being 10 %. the other discount is?
Answer the question using a single word or phrase.

[Assistant] 3 %

[User]
a train is 300 meter long is running at a speed of 35 km / hour. in what time will it pass a bridge of 115 meter length?
Answer the question using a single word or phrase.

[Assistant] 42.686


[User]
the perimeter of an equilateral triangle is 60. if one of the sides of the equilateral triangle is the side of an isosceles triangle of perimeter 70, then how long is the base of isosceles triangle?
Answer the question using a single word or phrase.

[Assistant] 30

[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 28 % ryegrass, what percent of the weight of the mixture is from mixture x?
Answer the question using a single word or phrase.

[Assistant] 20 %

[User]
if a light flashes every 6 seconds, how many times will it flash in 1 / 5 of an hour?
Answer the question using a single word or phrase.

[Assistant] 121

[User]
in how many ways can the integer 800 be expressed as a product of two different positive integers?
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 15 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] 103.5


[User]
at a particular graduation party with 300 guests, 70 % of the guests brought gifts, and 40 % of the female guests brought gifts. if 15 males did not bring gifts to the party, how many females did bring gifts?
Answer the question using a single word or phrase.

[Assistant] 50

[User]
a square mirror has exactly half the area of the rectangular wall on which it is hung. if each side of the mirror is 34 inches and the width of the wall is 54 inches, what is the length of the wall, in inches?
Answer the question using a single word or phrase.

[Assistant] 42.8

[User]
how many positive integers less than 100 have a remainder of 11 when divided by 13?
Answer the question using a single word or phrase.

[Assistant] 11

[User]
last year elaine spent 20 % of her annual earnings on rent. this year she earned 25 % more than last year and she spent 30 % of her annual earnings on rent. the amount she spent on rent this year is what percent of the amount spent on rent last year?
Answer the question using a single word or phrase.

[Assistant] 187.5

[User]
how much time does a train 150 metres long running at 90 km / hr take to pass a pole?
Answer the question using a single word or phrase.

[Assistant] 6 s


[User]
a dog takes 4 leaps for every 5 leaps of a hare. if one leap of the dog is equal to 3 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] 12 : 5

[User]
if an article is sold at 19 % profit instead of 12 % profit, then the profit would be rs. 105 more. what is the cost price?
Answer the question using a single word or phrase.

[Assistant] 1990

[User]
on the independence day, bananas were be equally distributed among the children in a school so that each child would get two bananas. on the particular day 130 children were absent and as a result each child got two extra bananas. find the actual number of children in the school?
Answer the question using a single word or phrase.

[Assistant] 260

[User]
an intern wants to label folders with numbers using digit stickers only. if the intern uses 999 stickers, how many folders have been numbered? ( the numbers of the folders are consecutive and the number of the first folder is 1 ).
Answer the question using a single word or phrase.

[Assistant] 369

[User]
each month a retailer sells 100 identical items. on each item he makes a profit of $ 50 that constitutes 10 % of the item's price to the retailer. if the retailer contemplates giving a 5 % discount on the items he sells, what is the least number of items he will have to sell each month to justify the policy of the discount?
Answer the question using a single word or phrase.

[Assistant] 223


[User]
the perimeter of a square is equal to the perimeter of a rectangle of length 20 cm and breadth 14 cm. find the circumference of a semicircle whose diameter is equal to the side of the square. ( round off your answer to two decimal places )
Answer the question using a single word or phrase.

[Assistant] 26.71

[User]
working alone, printers x, y, and z can do a certain printing job, consisting of a large number of pages, in 16, 12, and 8 hours, respectively. what is the ratio of the time it takes printer x to do the job, working alone at its rate, to the time it takes printers y and z to do the job, working together at their individual rates?
Answer the question using a single word or phrase.

[Assistant] 10 / 3

[User]
a hollow iron pipe is 21 cm long and its external diameter is 8 cm. if the thickness of the pipe is 1 cm and iron weighs, then the weight of the pipe is
Answer the question using a single word or phrase.

[Assistant] 3.696 kg

[User]
in may, the grounds keeper at spring lake golf club built a circular green with an area of 49 π square feet. in august, he doubled the distance from the center of the green to the edge of the green. what is the total area of the renovated green?
Answer the question using a single word or phrase.

[Assistant] 196 pi

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

[Assistant] 6.25


[User]
if k is the greatest positive integer such that 3 ^ k is a divisor of 21! then k =
Answer the question using a single word or phrase.

[Assistant] 9

[User]
a chemist mixes one liter of pure water with x liters of a 30 % salt solution, and the resulting mixture is a 20 % salt solution. what is the value of x?
Answer the question using a single word or phrase.

[Assistant] 2

[User]
what is the unit digit in 15 ^ 100?
Answer the question using a single word or phrase.

[Assistant] 5

[User]
a person walks from one end to the other of a 90 - meter long moving walkway at a constant rate in 30 seconds, assisted by the walkway. when this person reaches the end, they reverse direction and continue walking with the same speed, but this time it takes 120 seconds because the person is traveling against the direction of the moving walkway. if the walkway were to stop moving, how many seconds would it take this person to walk from one end of the walkway to the other?
Answer the question using a single word or phrase.

[Assistant] 48

[User]
right now, the ratio between the ages of sandy and molly is 4 : 3. after 6 years, sandy ’ s age will be 34 years. what is molly's age right now?
Answer the question using a single word or phrase.

[Assistant] 21


[User]
a 420 meter long train crosses a platform in 60 seconds while it crosses a signal pole in 30 seconds. what is the length of the platform?
Answer the question using a single word or phrase.

[Assistant] 420

[User]
a, b and c rents a pasture for rs. 435. a put in 12 horses for 8 months, b 16 horses for 9 months and 18 horses for 6 months. how much should b pay?
Answer the question using a single word or phrase.

[Assistant] 180

[User]
a, b and c enter into partnership. a invests some money at the beginning, b invests double the amount after 6 months, and c invests thrice the amount after 8 months. if the annual gain be rs. 15000. a's share is?
Answer the question using a single word or phrase.

[Assistant] 5000

[User]
a car traveled 80 % of the way from town x to town y at an average speed of 80 mph. the car traveled at an average speed of v mph for the remaining part of the trip. the average speed for the entire trip was 50 mph. what is v in mph?
Answer the question using a single word or phrase.

[Assistant] 20

[User]
a guy was asked to specify his age in years. he said, “ take my age 8 years hence, multiply it by 8 and subtract 8 times of my age 8 years ago and get the half of the result and you will know my age. ” what was the age of that guy?
Answer the question using a single word or phrase.

[Assistant] 64


[User]
there are 12 students in a class. on the day the test was given, ella was absent. the other 11 students took the test and their average was 74. the next day, ella took the test, and with this grade included, the new average was 75. what was ella's grade on the test?
Answer the question using a single word or phrase.

[Assistant] 86

[User]
at what price must an book costing $ 47.50 be marked in order that after deducting 20 % from the list price. it may be sold at a profit of 25 % on the cost price?
Answer the question using a single word or phrase.

[Assistant] 64.2

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

[Assistant] 6 / 7

[User]
in a certain circle there are 10 points. what is the number of the triangles connecting 4 points of the 10 points?
Answer the question using a single word or phrase.

[Assistant] 210

[User]
two trains of length 400 m and 200 m are 200 m apart. they start moving towards each other on parallel tracks, at speeds 54 kmph and 36 kmph. after how much time will the trains meet?
Answer the question using a single word or phrase.

[Assistant] 8 sec


[User]
the diagonals of two squares are in the ratio of 3 : 7 then find the ratio of its areas?
Answer the question using a single word or phrase.

[Assistant] 9 : 49

[User]
the average marks of a class of 30 students is 40 and that of another class of 50 students is 90. find the average marks of all the students?
Answer the question using a single word or phrase.

[Assistant] 71.25

[User]
in the storage room of a certain bakery, the ratio of sugar to flour is 3 to 8, 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] 900

[User]
jacob is 18 years old. he is 2 times as old as his brother. how old will jacob be when he is twice as old?
Answer the question using a single word or phrase.

[Assistant] 36

[User]
3897 x 999 =?
Answer the question using a single word or phrase.

[Assistant] 3893103


[User]
the average monthly salary of 20 employees in an organisation is rs. 1500. if the manager's salary is added, then the average salary increases by rs. 600. what is the manager's monthly salary?
Answer the question using a single word or phrase.

[Assistant] rs. 14100

[User]
noelle walks from point a to point b at an average speed of 5 kilometers per hour. at what speed, in kilometers per hour, must noelle walk from point b to point a so that her average speed for the entire trip is 8 kilometers per hour?
Answer the question using a single word or phrase.

[Assistant] 20

[User]
a man buy a book in rs 50 & sale it rs 90. what is the rate of profit???
Answer the question using a single word or phrase.

[Assistant] 80 %

[User]
in what time will a train 250 metres long cross an electric pole, if its speed be 162 km / hr?
Answer the question using a single word or phrase.

[Assistant] 5.55 sec

[User]
an ant is climbing 30 meters tall pole. it climbs 3 meter during the day and slips down 2 meters down during night in sleep, how many days it takes to reach the top of the pole?
Answer the question using a single word or phrase.

[Assistant] c - 28


[User]
if 50 apprentices can finish a job in 4 hours, and 30 journeymen can finish the same job in 5 hours, how much of the job should be completed by 10 apprentices and 15 journeymen in one hour?
Answer the question using a single word or phrase.

[Assistant] 3 / 20

[User]
a can contains a mixture of liquids a and b is the ratio 7 : 5. when 3 litres of mixture are drawn off and the can is filled with b, the ratio of a and b becomes 7 : 9. how many liter of liquid a was contained by the can initially?
Answer the question using a single word or phrase.

[Assistant] 7

[User]
rohan spends 40 % of his salary on food, 20 % on house rent, 10 % on entertainment and 10 % on conveyance. if his savings at the end of a month are rs. 1500. then his monthly salary is
Answer the question using a single word or phrase.

[Assistant] rs. 7500

[User]
what percentage of numbers from 1 to 95 have squares that end in the digit 0?
Answer the question using a single word or phrase.

[Assistant] 9.47

[User]
what is the square root of 400, divided by 2?
Answer the question using a single word or phrase.

[Assistant] 10


[User]
for a recipe for triple berry pie calls for cups of strawberries, raspberries, and blueberries in a ratio of 1 : 2 : 3. how many total cups of fruit will you need to make the pie?
Answer the question using a single word or phrase.

[Assistant] 6

[User]
in how many ways can 21 books on english and 19 books on hindi be placed in a row on a shelf so that two books on hindi may not be together?
Answer the question using a single word or phrase.

[Assistant] 1540

[User]
two trains 121 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. in what time will they be completely clear of each other from the moment they meet?
Answer the question using a single word or phrase.

[Assistant] 7.15

[User]
the number which exceeds 16 % of it by 63 is :
Answer the question using a single word or phrase.

[Assistant] 75

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

[Assistant] 133


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

[Assistant] rs. 4000

[User]
how many integers between 324,700 and 387,600 have tens digit 1 and units digit 3?
Answer the question using a single word or phrase.

[Assistant] 629

[User]
the salary of a, b, c, d, e is rs. 10000, rs. 5000, rs. 11000, rs. 7000, rs. 9000 per month respectively, then the average salary of a, b, c, d, and e per month is
Answer the question using a single word or phrase.

[Assistant] rs. 8400

[User]
if ( 1 – 1.25 ) n = 3, then n =
Answer the question using a single word or phrase.

[Assistant] - 12

[User]
running at the same constant rate, 6 identical machines can produce a total of 300 bottles per minute. at this rate, how many bottles could 10 such machines produce in 4 minutes?
Answer the question using a single word or phrase.

[Assistant] 2000


[User]
the ratio between the length and the breadth of a rectangular park is 3 : 2. if a man cycling along theboundary of the park at the speed of 12 km / hr completes one round in 8 min, then the area of the park is?
Answer the question using a single word or phrase.

[Assistant] 153600 m

[User]
reema took a loan of rs 1500 with simple interest for as many years as the rate of interest. if she paid rs. 735 as interest at the end of the loan period, what was the rate of interest.
Answer the question using a single word or phrase.

[Assistant] 7 %

[User]
a can do a piece of work in 5 days and b can do it in 7 days how long will they both work together to complete the work?
Answer the question using a single word or phrase.

[Assistant] 9 / 12

[User]
find the value of m 72519 x 9999 = m?
Answer the question using a single word or phrase.

[Assistant] 725117481

[User]
sandy buys an old scooter for $ 800 and spends $ 200 on its repairs. if sandy sells the scooter for $ 1200, what is the gain percent?
Answer the question using a single word or phrase.

[Assistant] 20 %


[User]
a certain bacteria colony doubles in size every day for 21 days, at which point it reaches the limit of its habitat and can no longer grow. if two bacteria colonies start growing simultaneously, how many days will it take them to reach the habitat ’ s limit?
Answer the question using a single word or phrase.

[Assistant] 20

[User]
a starts business with rs. 3500 and after 5 months, b joins with a as his partner. after a year, the profit is divided in the ratio 2 : 3. what is b ’ s contribution in the capital?
Answer the question using a single word or phrase.

[Assistant] 9000

[User]
how many consecutive zeros are there at the end of 100! ( 100 factorial )?
Answer the question using a single word or phrase.

[Assistant] 24

[User]
the ratio of spinsters to cats is 2 to 7. if there are 55 more cats than spinsters, how many spinsters are there?
Answer the question using a single word or phrase.

[Assistant] 22

[User]
a alone can do a piece of work in 6 days and b alone in 8 days. a and b undertook to do it for rs. 4000. with the help of c, they completed the work in 3 days. how much is to be paid to c?
Answer the question using a single word or phrase.

[Assistant] s. 500


[User]
a sports retailer ordered white and yellow tennis balls in equal number but the dispatch clerk of the tennis ball company erred and dispatched 20 extra yellow balls and making ratio of white balls to yellow balls 8 / 13. how many tennis balls did the retailer order originally.
Answer the question using a single word or phrase.

[Assistant] 64

[User]
ramu bought an old car for rs. 42000. he spent rs. 10000 on repairs and sold it for rs. 64900. what is his profit percent?
Answer the question using a single word or phrase.

[Assistant] 24.8 %

[User]
find the average of all numbers between 5 and 45 which are divisible by 6
Answer the question using a single word or phrase.

[Assistant] 28

[User]
a group of men decided to do a work in 40 days, but 5 of them became absent. if the rest of the group did the work in 60 days, find the original number of men?
Answer the question using a single word or phrase.

[Assistant] 15

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

[Assistant] 32400


[User]
the youngest of 4 children has siblings who are 3, 6, and 7 years older than she is. if the average ( arithmetic mean ) age of the 4 siblings is 30, what is the age of the youngest sibling?
Answer the question using a single word or phrase.

[Assistant] 26

[User]
water consists of hydrogen and oxygen, and the approximate ratio, by mass, of hydrogen to oxygen is 2 : 16. approximately how many grams of oxygen are there in 126 grams of water?
Answer the question using a single word or phrase.

[Assistant] 112

[User]
in what ratio p : q should the mixture p of milk and water in the ratio of 6 : 1 be mixed with another mixture q of milk and water in the ratio 3 : 4 so that the resultant mixture contains equal quantities of milk and water?
Answer the question using a single word or phrase.

[Assistant] 1 : 5

[User]
sum of two numbers prime to each other is 8 and their l. c. m. is 15. what are the numbers?
Answer the question using a single word or phrase.

[Assistant] 3 and 5

[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 $ 0.40 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] $ 180


[User]
the sector of a circle has radius of 21 cm and central angle 90 o. find its perimeter?
Answer the question using a single word or phrase.

[Assistant] 75

[User]
in what ratio should a variety of rice costing rs. 5 per kg be mixed with another variety of rice costing rs. 8.75 per kg to obtain a mixture costing rs. 7.50 per kg?
Answer the question using a single word or phrase.

[Assistant] 1 / 2

[User]
3 friends a, b, c went for week end party to mcdonald ’ s restaurant and there they measure there weights in some order in 7 rounds. a, b, c, ab, bc, ac, abc. final round measure is 160 kg then find the average weight of all the 7 rounds?
Answer the question using a single word or phrase.

[Assistant] 91.4 kgs

[User]
bob wants to run a mile in the same time as his sister. if bob ’ s time for a mile is currently 10 minutes 30 seconds and his sister ’ s time is currently 9 minutes 36 seconds, by what percent does bob need to improve his time in order run a mile in the same time as his sister?
Answer the question using a single word or phrase.

[Assistant] 9 %

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

[Assistant] 12000 cubic meters


[User]
if p # q denotes the least common multiple of p and q, then t = ( ( 12 # 16 ) # ( 18 # 24 ) ) =?
Answer the question using a single word or phrase.

[Assistant] 144

[User]
how many seconds will it take for a car that is traveling at a constant rate of 90 miles per hour to travel a distance of 22 yards? ( 1 mile = 1,160 yards )
Answer the question using a single word or phrase.

[Assistant] 0.5

[User]
if 4 men and 1 boy working together, can do two times as much work per hour as a man and a boy together. find the ratio of the work done by a man and that of a boy for a given time?
Answer the question using a single word or phrase.

[Assistant] 1 : 2

[User]
two trains are moving in opposite directions at 60 km / hr and 90 km / hr. their lengths are 1.10 km and 1.15 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] 54 sec

[User]
two carpenters, working in the same pace, can build 2 desks in two hours and a half. how many desks can 4 carpenters build in 5 hours?
Answer the question using a single word or phrase.

[Assistant] 8.


[User]
a retailer buys 60 pens at the market price of 36 pens from a wholesaler, if he sells these pens giving a discount of 1 %, what is the profit %?
Answer the question using a single word or phrase.

[Assistant] 65

[User]
if 65 percent of a class answered the first question on a certain test correctly, 55 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly?
Answer the question using a single word or phrase.

[Assistant] 40 %

[User]
a person starts walking at a speed of 5 km / hr through half the distance, rest of the distance he covers with aspeed 4 km / hr. total time of travel is 6 hours. what is the maximum distance he can cover?
Answer the question using a single word or phrase.

[Assistant] 26.6 km

[User]
the population of a town is 10000. it increases annually at the rate of 20 % p. a. what will be its population after 1 year?
Answer the question using a single word or phrase.

[Assistant] 12000

[User]
two assembly line inspectors, lauren and steven, inspect widgets as they come off the assembly line. if lauren inspects every fifth widget, starting with the fifth, and steven inspects every third, starting with the third, how many of the 95 widgets produced in the first hour of operation are not inspected by either inspector?
Answer the question using a single word or phrase.

[Assistant] 50


[User]
what percent is 10 gm of 1 kg?
Answer the question using a single word or phrase.

[Assistant] 1 %

[User]
7 people went to a restaurant for dinner. 6 of them spent $ 11 each on their meals and the seventh person spent $ 6 more than the average expenditure of all 7 people. what was the total amount of money that the 7 people spent?
Answer the question using a single word or phrase.

[Assistant] $ 84

[User]
on june 1 a bicycle dealer noted that the number of bicycles in stock had decreased by 4 for each of the past 5 months. if the stock continues to decrease at the same rate for the rest of the year, how many fewer bicycles will be in stock on september 1 than were in stock on january 1?
Answer the question using a single word or phrase.

[Assistant] 32

[User]
there are 15 stations between hyderabad and bangalore. how many second class tickets have to be printed, so that a passenger can travel from any station to any other station?
Answer the question using a single word or phrase.

[Assistant] 272

[User]
how long will it take a train travelling at 68 kmph to pass an electric pole if the train is 170 m long
Answer the question using a single word or phrase.

[Assistant] 8.99


[User]
a, b and c rents a pasture for rs. 1073. 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] 333

[User]
during a special promotion, a certain filling station is offering a 10 percent discount on gas purchased after the first 15 gallons. if kim purchased 20 gallons of gas, and isabella purchased 25 gallons of gas, then isabella ‟ s total per - gallon discount is what percent of kim ‟ s total per - gallon discount?
Answer the question using a single word or phrase.

[Assistant] 160 %

[User]
a batsman makes a score of 100 runs in the 11 th inning and thus increases his average by 5. find his average after 11 th inning.
Answer the question using a single word or phrase.

[Assistant] 50

[User]
sam wrote 7 letters on tuesday and 3 letters on wednesday. how many letters did he write on average per day?
Answer the question using a single word or phrase.

[Assistant] 5

[User]
on a trip covering 250 km, a bicyclist travels the first 100 km at 20 km per hour and the remainder of the distance at 15 km per hour. what is the average speed, in km per hour, for the entire trip?
Answer the question using a single word or phrase.

[Assistant] 16.7


[User]
the mean of 20 observations was 36. it was found later that an observation 25 was wrongly taken as 40. the corrected new mean is
Answer the question using a single word or phrase.

[Assistant] 35.25

[User]
an outlet pipe can empty 2 / 3 of a cistern in 12 minutes. in 4 minutes, what part of the cistern will be emptied?
Answer the question using a single word or phrase.

[Assistant] 2 / 9

[User]
an engineer undertakes a project to build a road 15 km long in 300 days and employs 30 men for the purpose. after 100 days, he finds only 2.5 km of the road has been completed. find the ( approximate ) number of extra men he must employ to finish the work in time.
Answer the question using a single word or phrase.

[Assistant] b. 45

[User]
how many of the positive factors of 24 are not factors of 26
Answer the question using a single word or phrase.

[Assistant] 6

[User]
he average weight of 6 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. what might be the weight of the new person?
Answer the question using a single word or phrase.

[Assistant] 80 kg


[User]
after 10 % of the inhabitants of a village disappeared, a panic set in during which 25 % of the remaining inhabitants left the village. at that time, the population was reduced to 5265. what was the number of original inhabitants?
Answer the question using a single word or phrase.

[Assistant] 7800

[User]
a merchant has 1000 kg of sugar part of which he sells at 8 % profit and the rest at 18 % profit. he gains 14 % on the whole. the quantity sold at 18 % profit is?
Answer the question using a single word or phrase.

[Assistant] 600 kg

[User]
a rower whose speed is 8 km / hr in still water rows to a certain point upstream and back to the starting point in a river which flows at 4 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] 6

[User]
how many pounds of salt at 50 cents / lb must be mixed with 40 lbs of salt that costs 25 cents / lb so that a merchant will get 20 % profit by selling the mixture at 48 cents / lb?
Answer the question using a single word or phrase.

[Assistant] 60

[User]
if 10 gallons of grape juice are added to 40 gallons of a mixture, which contains 10 percent grape juice then what percent of the resulting mixture is grape juice?
Answer the question using a single word or phrase.

[Assistant] 28 %


[User]
18 men can complete a piece of work in 30 days. in how many days can 15 men complete that piece of work?
Answer the question using a single word or phrase.

[Assistant] 36 days

[User]
if the sales tax be reduced from 4 ( 1 / 4 ) % to 1 ( 1 / 2 ) %, then what difference does it make to a person who purchases a bag with marked price of rs. 4500?
Answer the question using a single word or phrase.

[Assistant] rs. 123.75

[User]
two, trains, one from howrah to patna and the other from patna to howrah, start simultaneously. after they meet, the trains reach their destinations after 9 hours and 16 hours respectively. the ratio of their speeds is :
Answer the question using a single word or phrase.

[Assistant] 4 : 3

[User]
in a colony of 70 resident s, the ratio of the number of men and women is 4 : 3. among the women, the ratio of the educated to the uneducated is 1 : 4. if the ratio of the number of education to uneducated persons is 8 : 27, then find the ratio of the number of educated and uneducated men in the colony?
Answer the question using a single word or phrase.

[Assistant] 1 ratio 3

[User]
what is the average ( arithmetic mean ) of all multiples of 10 from 10 to 300 inclusive?
Answer the question using a single word or phrase.

[Assistant] 155


[User]
if 0.75 : x : : 5 : 8, then x is equal to
Answer the question using a single word or phrase.

[Assistant] 1.20

[User]
the reciprocal of the hcf and lcm of two are 1 / 13 and 1 / 312. if one of the number is 24 then other no. is
Answer the question using a single word or phrase.

[Assistant] 169

[User]
the ratio of two no. addition and subtraction be 4 : 3. the what is the ratio of numbers?
Answer the question using a single word or phrase.

[Assistant] 7 : 1

[User]
among 300 students, 56 % study sociology, 44 % study mathematics and 40 % study biology. if 30 % of students study both mathematics and sociology, what is the largest possible number of students who study biology but do not study either mathematics or sociology?
Answer the question using a single word or phrase.

[Assistant] 90

[User]
6 / [ ( 1 / 0.03 ) + ( 1 / 0.37 ) ] =?
Answer the question using a single word or phrase.

[Assistant] 0.16666


[User]
a marketing survey of anytown found that the ratio of trucks to sedans to motorcycles was 3 : 7 : 2, respectively. given that there are 9,800 sedans in anytown, how many motorcycles are there?
Answer the question using a single word or phrase.

[Assistant] 2800

[User]
in a can, there is a mixture of milk and water in the ratio 1 : 5. if it is filled with an additional 2 litres of milk the can would be full and ratio of milk and water would become 2.00001 : 5.00001. find the capacity of the can?
Answer the question using a single word or phrase.

[Assistant] 14

[User]
the speed of a car increases by 2 kms after every one hour. if the distance travelling in the first one hour was 55 kms. what was the total distance travelled in 12 hours?
Answer the question using a single word or phrase.

[Assistant] 792 kms

[User]
45 x? = 35 % of 900
Answer the question using a single word or phrase.

[Assistant] 7

[User]
if the average of 54, 55, 57, 58, 59, 62, 62, 63, 65 and x is 60, what is the value of x?
Answer the question using a single word or phrase.

[Assistant] 65


[User]
a wholesaler wishes to sell 100 pounds of mixed nuts at $ 2.50 a pound. she mixes peanuts worth $ 1.50 a pound with cashews worth $ 4.00 a pound. how many pounds of cashews must she use?
Answer the question using a single word or phrase.

[Assistant] 40

[User]
each week, harry is paid x dollars per hour for the first 30 hours and 1.5 x dollars for each additional hour worked that week. each week, annie is paid x dollars per hour for the first 40 hours and 2 x dollars for each additional hour worked that week. last week annie worked a total of 44 hours. if harry and annie were paid the same amount last week, how many hours did harry work last week?
Answer the question using a single word or phrase.

[Assistant] 42

[User]
two pipes a and b can fill a cistern in 9 and 18 minutes respectively, and a third pipe c can empty it in 24 minutes. how long will it take to fill the cistern if all the three are opened at the same time?
Answer the question using a single word or phrase.

[Assistant] 8 min

[User]
laura took out a charge account at the general store and agreed to pay 5 % simple annual interest. if she charges $ 35 on her account in january, how much will she owe a year later, assuming she does not make any additional charges or payments?
Answer the question using a single word or phrase.

[Assistant] $ 36.75

[User]
a pharmaceutical company received $ 3 million in royalties on the first $ 20 million in sales of the generic equivalent of one of its products and then $ 9 million in royalties on the next $ 108 million in sales. by approximately what percent did the ratio of royalties to sales decrease from the first $ 20 million in sales to the next $ 108 million in sales?
Answer the question using a single word or phrase.

[Assistant] 45 %


[User]
what is the sum of the integers from - 194 to 195 inclusive?
Answer the question using a single word or phrase.

[Assistant] 195

[User]
if x and y are integers such that | y + 3 | ≤ 3 and 2 y – 3 x + 6 = 0, what is the least possible value q of the product xy?
Answer the question using a single word or phrase.

[Assistant] 0

[User]
the average of first seven prime numbers which are between 30 and 70 is
Answer the question using a single word or phrase.

[Assistant] 44.4

[User]
a batsman makes a score of 90 runs in the 17 th inning and thus increases his averages by 3. what is his average after 17 th inning?
Answer the question using a single word or phrase.

[Assistant] 42

[User]
if x / y = 3 / z, then 4 x ^ 2 =
Answer the question using a single word or phrase.

[Assistant] 36 y ² / z ²


[User]
the captain of a cricket team of 11 members is 25 years old and the wicket keeper is 3 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] 22 years

[User]
on a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. on the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. on both days, all the orangeade that was made was sold. if the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $ 0.90 per glass on the first day, what was the price per glass on the second day?
Answer the question using a single word or phrase.

[Assistant] $ 0.6

[User]
if a person walks at 25 km / hr instead of 10 km / hr, he would have walked 31 km more. the actual distance traveled by him is?
Answer the question using a single word or phrase.

[Assistant] 20.67

[User]
the speed of a boat in still water is 8 kmph. if it can travel 1 km upstream in 1 hr, what time it would take to travel the same distance downstream?
Answer the question using a single word or phrase.

[Assistant] 4 minutes

[User]
# p is defined as 2 p - 20 for any number p. what is p, if # ( # ( # p ) ) = 12?
Answer the question using a single word or phrase.

[Assistant] 19


[User]
if 90 percent of 600 is 50 percent of x, then x =?
Answer the question using a single word or phrase.

[Assistant] 1080

[User]
a number increased by 20 % gives 1080. the number is?
Answer the question using a single word or phrase.

[Assistant] 900

[User]
a train 500 m long can cross an electric pole in 20 sec and then find the speed of the train?
Answer the question using a single word or phrase.

[Assistant] 90 kmph

[User]
if 5 < x < 12 and y = x + 3, what is the greatest possible integer value of x + y?
Answer the question using a single word or phrase.

[Assistant] 26

[User]
on dividing a number by 357, we get 42 as remainder. on dividing the same number by 17, what will be the remainder?
Answer the question using a single word or phrase.

[Assistant] 8


[User]
evaluate : 20 - 16 ÷ 4 × 3 =
Answer the question using a single word or phrase.

[Assistant] 8

[User]
a train 1020 m long running at 102 kmph crosses a platform in 50 sec. what is the length of the platform?
Answer the question using a single word or phrase.

[Assistant] 396

[User]
a seller of used cars has 15 cars to sell and each of his clients selected 3 cars that he liked most. if each car was selected exactly thrice, how many clients visited the garage?
Answer the question using a single word or phrase.

[Assistant] 15

[User]
if a rectangular room measures 11 meters by 6 meters by 4 meters, what is the volume of the room in cubic centimeters? ( 1 meter = 100 centimeters )
Answer the question using a single word or phrase.

[Assistant] 264, 000,000

[User]
a rock is dropped into a well and the distance traveled is 16 t 2 feet, where t is the time. if the water splash is heard 3 seconds after the rock was dropped, and that the speed of sound is 1100 ft / sec, approximate the height of the well
Answer the question using a single word or phrase.

[Assistant] 132.7 feet


[User]
a man can row his boat with the stream at 18 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] 7 kmph

[User]
how is 2 % expressed as a decimal fraction?
Answer the question using a single word or phrase.

[Assistant] 0.02

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

[User]
25.25 / 3000 is equal to :
Answer the question using a single word or phrase.

[Assistant] 0.008416667

[User]
a man can row downstream at 28 kmph and upstream at 10 kmph. find the speed of the man in still water and the speed of stream respectively?
Answer the question using a single word or phrase.

[Assistant] 19, 9


[User]
two bullet trains of equal lengths take 8 seconds and 15 seconds respectively to cross a telegraph post. if the length of each bullet train be 120 metres, in what time ( in seconds ) will they cross each other travelling in opposite direction?
Answer the question using a single word or phrase.

[Assistant] 10.4 sec.

[User]
how many even number in the range between 10 to 170 inclusive are not divisible by 3
Answer the question using a single word or phrase.

[Assistant] 54

[User]
a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. if the area of the field is 600 sq. ft, how many feet of fencing will be required?
Answer the question using a single word or phrase.

[Assistant] 80 feet

[User]
when positive integer x is divided by positive integer y, the remainder is 8. if x / y = 96.16, what is the value of y?
Answer the question using a single word or phrase.

[Assistant] 50

[User]
the mean of 30 values was 140. it was detected on rechecking that one value 145 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] 140.33


[User]
two trains 110 meters and 180 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. in what time will they be completely clear of each other from the moment they meet?
Answer the question using a single word or phrase.

[Assistant] 7.2

[User]
the perimeter of a triangle is 20 cm and the inradius of the triangle is 2.5 cm. what is the area of the triangle?
Answer the question using a single word or phrase.

[Assistant] 25 cm 2

[User]
a large box contains 21 small boxes and each small box contains 25 chocolate bars. how many chocolate bars are in the large box?
Answer the question using a single word or phrase.

[Assistant] 525

[User]
a typist uses a sheet measuring 20 cm by 30 cm lenghtwise. if a margin of 2 cm is left on each side and a 3 cm margin on the top and bottom, then what is the percentage of page used by the typist?
Answer the question using a single word or phrase.

[Assistant] 64 %

[User]
an association of mathematics teachers has 1,260 members. only 525 of these members cast votes in the election for president of the association. what percent of the total membership voted for the winning candidate if the winning candidate received 62 percent of the votes cast?
Answer the question using a single word or phrase.

[Assistant] 25.83 %


[User]
for any positive integer n, the sum of the first n positive integers equals n ( n + 1 ) / 2. what is the sum of all the even integers between 99 and 161?
Answer the question using a single word or phrase.

[Assistant] 4030

[User]
a clock shows the time as 11 a. m. if the minute hand gains 5 minutes every hour, how many minutes will the clock gain by 6 p. m.?
Answer the question using a single word or phrase.

[Assistant] 35 minutes

[User]
a man is 26 years older than his son. in two years, his age will be twice the age of his son. what is the present age of his son?
Answer the question using a single word or phrase.

[Assistant] 24 years

[User]
a and b can do a piece of work in 6 days. with the help of c they finish the work in 5 days. c alone can do that piece of work in?
Answer the question using a single word or phrase.

[Assistant] 30 days

[User]
an aeroplane covers a certain distance at a speed of 120 kmph in 5 hours. to cover the same distance in 1 2 / 3 hours, it must travel at a speed of :
Answer the question using a single word or phrase.

[Assistant] 520