[User]
laura took out a charge account at the general store and agreed to pay 6 % 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] $ 37.10

[User]
with both inlets open, a water tank will be filled with water in 24 minutes. the first inlet alone would fill the tank in 2 hours. if in every minutes the second inlet admits 50 cubic meters of water than the first, what is the capacity of the tank?
Answer the question using a single word or phrase.

[Assistant] 2,000

[User]
if 4 men can colour 48 m long cloth in 2 days, then 6 men can colour 36 m long cloth in?
Answer the question using a single word or phrase.

[Assistant] 1 day

[User]
find the area of a rhombus one side of which measures 20 cm and one diagonal is 23 cm.
Answer the question using a single word or phrase.

[Assistant] 368 cm 2

[User]
compound interest of rs. 6000 at 10 % per annum for 1 1 / 2 years will be ( interest compounded half yearly ).
Answer the question using a single word or phrase.

[Assistant] rs. 945


[User]
a and b started a business investing rs. 75,000 and rs 20,000 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] 13 : 4

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

[Assistant] 112.50

[User]
a side of beef lost 30 percent of its weight in processing. if the side of beef weighed 500 pounds after processing, how many pounds did it weigh before processing?
Answer the question using a single word or phrase.

[Assistant] 714.28

[User]
if the price of a tv is first decreased by 20 % and then increased by 40 %, then the net change in the price will be :
Answer the question using a single word or phrase.

[Assistant] 12 % increase

[User]
two sets of 3 consecutive positive odd integers have exactly one integer in common. the sum of the integers in the set with greater numbers is how much greater than the sum of the integers in the other set?
Answer the question using a single word or phrase.

[Assistant] 12


[User]
a train running at 1 / 5 of its own speed reached a place in 20 hours. how much time could be saved if the train would have run at its own speed?
Answer the question using a single word or phrase.

[Assistant] 16 hrs

[User]
in a certain pond, 60 fish were caught, tagged, and returned to the pond. a few days later, 50 fish were caught again, of which 2 were found to have been tagged. if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond?
Answer the question using a single word or phrase.

[Assistant] 1,500

[User]
how many 4 - digit even numbers are possible such that if one of the digits is 5, the next / succeeding digit to it should be 7?
Answer the question using a single word or phrase.

[Assistant] 50

[User]
a man has 1044 candles. after burning, he can make a new candle from 9 stubs left behind. find the maximum number of candles that can be made.
Answer the question using a single word or phrase.

[Assistant] 130

[User]
find the amount on rs. 7000 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] 7644


[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

[User]
a trader sells 40 metres of cloth for rs. 8200 at a profit of rs. 25 per metre of cloth. how much profit will the trder earn on 40 metres of cloth?
Answer the question using a single word or phrase.

[Assistant] rs. 1000

[User]
a batsman makes a score of 64 runs in the 16 th innings and thus increased his average by 3. find his average after the 16 th inning?
Answer the question using a single word or phrase.

[Assistant] 19

[User]
when 2 is added to half of one - third of one - fifth of a number, the result is one - fifteenth of the number. find the number?
Answer the question using a single word or phrase.

[Assistant] 60

[User]
a sells a bicycle to b at a profit of 20 %. b sells it to c at a profit of 25 %. if c pays rs. 225 for it, the cost price of the bicycle for a is
Answer the question using a single word or phrase.

[Assistant] 150


[User]
the perimeter of a triangle is 32 cm and the inradius of the triangle is 3.5 cm. what is the area of the triangle?
Answer the question using a single word or phrase.

[Assistant] 56

[User]
if circles x and y have the same area and circle x has a circumference of 10 π, half of the radius of circle y is :
Answer the question using a single word or phrase.

[Assistant] 2.5

[User]
how many positive integers, from 2 to 100, inclusive, are not divisible by even integers greater than 1?
Answer the question using a single word or phrase.

[Assistant] 6

[User]
how many terminating zeroes does 200! have?
Answer the question using a single word or phrase.

[Assistant] 49

[User]
two airplanes fly the same exact route from atlanta to chicago. plane a flies 200 mph while plane b flies 300 mph ( assume that simple model versus actual acceleration / deceleration near the airports ). if plane a took off exactly 40 minutes before plane b, after how many minutes will plane b overtake plane a?
Answer the question using a single word or phrase.

[Assistant] 80


[User]
a certain manufacturer produces items for which the production costs consist of annual fixed costs totaling $ 130,000 and variables costs averaging $ 11 per item. if the manufacturer ’ s selling price per item is $ 15, how many items the manufacturer produce and sell to earn an annual profit of $ 150,000?
Answer the question using a single word or phrase.

[Assistant] 70,000

[User]
the area of a parallelogram is 450 sq m and its altitude is twice the corresponding base. then the length of the base is?
Answer the question using a single word or phrase.

[Assistant] 15

[User]
a math teacher has 32 cards, each of which is in the shape of a geometric figure. half of the cards are rectangles, and a third of the cards are rhombuses. if 8 cards are squares, what is the maximum possible number of cards that re circles.
Answer the question using a single word or phrase.

[Assistant] 15

[User]
in one hour, a boat goes 15 km along the stream and 5 km against the stream. the speed of the boat in still water ( in km / hr ) is :
Answer the question using a single word or phrase.

[Assistant] 10

[User]
find the least number which when divided by 20, 2535 and 40 leaves remainders 14, 1929 and 34 respectively.
Answer the question using a single word or phrase.

[Assistant] 1394


[User]
ravi and kavi start a business by investing â ‚ ¹ 4000 and â ‚ ¹ 72000, respectively. find the ratio of their profits at the end of year.
Answer the question using a single word or phrase.

[Assistant] 1 : 18

[User]
108. triangle a ’ s base is 12 % greater than the base of triangle b, and a ’ s height is 12 % less than the height of triangle b. the area of triangle a is what percent less or more than the area of triangle b?
Answer the question using a single word or phrase.

[Assistant] 0.7 % less

[User]
two airplanes take off from one airfield at noon. one flies due east at 204 miles per hour while the other flies directly northeast at 283 miles per hour. approximately how many miles apart are the airplanes at 2 p. m.?
Answer the question using a single word or phrase.

[Assistant] 408

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

[Assistant] 8 : 125

[User]
how many two - digit numbers that do not contain the digits 1 or 4 are there?
Answer the question using a single word or phrase.

[Assistant] 56


[User]
marla starts running around a circular track at the same time nick starts walking around the same circular track. marla completes 10 laps around the track per hour and nick completes 5 laps around the track per hour. how many minutes after marla and nick begin moving will marla have completed 4 more laps around the track than nick?
Answer the question using a single word or phrase.

[Assistant] 48

[User]
the average expenditure of a labourer for 6 months was 75 and he fell into debt. in the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30. his monthly income i
Answer the question using a single word or phrase.

[Assistant] 72

[User]
dick and jane each saved $ 2,500 in 1989. in 1990 dick saved 9 percent more than in 1989, and together he and jane saved a total of $ 5200. approximately what percent less did jane save in 1990 than in 1989?
Answer the question using a single word or phrase.

[Assistant] 1 %

[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 31 % ryegrass, what percent of the weight of the mixture is from mixture x?
Answer the question using a single word or phrase.

[Assistant] 40 %

[User]
in a tree, 3 / 7 of the birds are parrots while the rest are toucans. if 2 / 3 of the parrots are female and 7 / 10 of the toucans are female, what fraction of the birds in the tree are male?
Answer the question using a single word or phrase.

[Assistant] 11 / 35


[User]
income and expenditure of a person are in the ratio 10 : 8. if the income of the person is rs. 10000, then find his savings?
Answer the question using a single word or phrase.

[Assistant] 2000

[User]
in a school with 600 students, the average age of the boys is 12 years and that of the girls is 11 years. if the average age of the school is 11 years 9 months, then the number of girls in the school is
Answer the question using a single word or phrase.

[Assistant] 150

[User]
when sold at a 50 % discount, a sweater nets the merchant a 40 % profit on the wholesale cost at which he initially purchased the item. by what % is the sweater marked up from wholesale at its normal retail price?
Answer the question using a single word or phrase.

[Assistant] 64.29 %

[User]
one fourth of a solution that was 12 % sugar by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight. the second solution was what percent sugar by weight?
Answer the question using a single word or phrase.

[Assistant] 28 %

[User]
a palindrome is a number that reads the same forward and backward, such as 144. how many odd, 4 - digit numbers are palindromes?
Answer the question using a single word or phrase.

[Assistant] 62


[User]
a diagonal of a polygon is an segment between two non - adjacent vertices of the polygon. how many diagonals does a regular 30 - sided polygon have?
Answer the question using a single word or phrase.

[Assistant] 405

[User]
a batsman makes a score of 66 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] 18

[User]
find the value of e from ( 14 ) ^ 2 x 5 ^ 3 ã · 568 = e.
Answer the question using a single word or phrase.

[Assistant] 43.1

[User]
a cube of side one meter length is cut into small cubes of side 5 cm each. how many such small cubes can be obtained?
Answer the question using a single word or phrase.

[Assistant] 8000

[User]
if 0.75 of a number is equal to 0.025 of another number, the ratio of the numbers is :
Answer the question using a single word or phrase.

[Assistant] 1 : 30


[User]
a company has two models of computers, model x and model y. operating at a constant rate, a model x computer can complete a certain task in 60 minutes and a model y computer can complete the same task in 30 minutes. if the company used the same number of each model of computer to complete the task in 1 minute, how many model x computers were used?
Answer the question using a single word or phrase.

[Assistant] 20

[User]
a certain number of men can do a work in 40 days. if there were 5 men less it could be finished in 10 days more. how many men are there?
Answer the question using a single word or phrase.

[Assistant] 25 men

[User]
mike earns $ 12 per hour and phil earns $ 6 per hour. approximately how much less, as a percentage, does phil earn than mike per hour?
Answer the question using a single word or phrase.

[Assistant] 50 %

[User]
a can do a job in 45 days and b can do it in 30 days. a and b working together will finish four times the amount of work in - - - - - - - days?
Answer the question using a single word or phrase.

[Assistant] 72 days

[User]
a certain bus driver is paid a regular rate of $ 14 per hour for any number of hours that does not exceed 40 hours per week. for any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75 % higher than his regular rate. if last week the bus driver earned $ 982 in total compensation, how many total hours did he work that week?
Answer the question using a single word or phrase.

[Assistant] 57


[User]
the least number which when divided by 3, 4, 5 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is
Answer the question using a single word or phrase.

[Assistant] 243

[User]
70 + 5 * 12 / ( 180 / 3 ) =?
Answer the question using a single word or phrase.

[Assistant] 71

[User]
the length of the rectangular field is double its width. inside the field there is square shaped pond 4 m long. if the area of the pond is 1 / 8 of the area of the field. what is the length of the field?
Answer the question using a single word or phrase.

[Assistant] 16

[User]
14 men can complete a piece of work in 25 days. in how many days can 20 men complete that piece of work?
Answer the question using a single word or phrase.

[Assistant] 17.5 days

[User]
a train leaves mumabai at 9 am at a speed of 40 kmph. after one hour, another train leaves mumbai in the same direction as that of the first train at a speed of 50 kmph. when and at what distance from mumbai do the two trains meet?
Answer the question using a single word or phrase.

[Assistant] 200


[User]
reduce 368 / 598 to the lowest terms
Answer the question using a single word or phrase.

[Assistant] 8 / 13

[User]
a, b and c started a partnership business by investing rs. 5000, rs. 8000, rs. 9000 respectively. at the end of the year, the profit were distributed among them. if c's share of profit is 36000, what is the total profit?
Answer the question using a single word or phrase.

[Assistant] 88000

[User]
5 n + 2 > 12 and 7 n - 5 < 37 ; n must be between which numbers?
Answer the question using a single word or phrase.

[Assistant] 2 and 6

[User]
a man invested rs. 14,400 in rs. 100 shares of a company at 20 % premium. if the company declares 5 % dividend at the end of the year, then how much does he get?
Answer the question using a single word or phrase.

[Assistant] rs. 600

[User]
two isosceles triangles have equal vertical angles and their areas are in the ratio 16 : 49. find the ratio of their corresponding heights.
Answer the question using a single word or phrase.

[Assistant] 4 / 7


[User]
two numbers are respectively 50 % and 100 % more than a third number. the percentage that is first of the second is?
Answer the question using a single word or phrase.

[Assistant] 75 %

[User]
if an object travels 300 feet in 5 seconds, what is the object's approximate speed in miles per hour? ( note : 1 mile = 5280 feet )
Answer the question using a single word or phrase.

[Assistant] 41

[User]
rs. 875 becomes rs. 956 in 3 years at a certain rate of simple interest. if the rate of interest is increased by 4 %, what amount will rs. 875 become in 3 years?
Answer the question using a single word or phrase.

[Assistant] rs. 1061

[User]
0.003 *? * 0.0003 = 0.00000027
Answer the question using a single word or phrase.

[Assistant] 0.3

[User]
a alone can finish a work in 10 days which b alone can finish in 15 days. if they work together and finish it, then out of a total wages of rs. 3400, a will get :
Answer the question using a single word or phrase.

[Assistant] rs. 2040


[User]
what will be the reminder when ( 19 ^ 19 + 19 ) is divided by 20?
Answer the question using a single word or phrase.

[Assistant] 18

[User]
a couple who own an appliance store discover that if they advertise a sales discount of 10 % on every item in the store, at the end of one month the number of total items sold increases 12 %. their gross income from sales for one month increases by what percent?
Answer the question using a single word or phrase.

[Assistant] 0.8 %

[User]
a pharmaceutical company received $ 3 million in royalties on the first $ 20 million in sales of and then $ 9 million in royalties on the next $ 102 million in sales. by approximately what percentage did the ratio of royalties to sales decrease from the first $ 20 million in sales to the next $ 102 million in sales?
Answer the question using a single word or phrase.

[Assistant] 40 %

[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 55, then how long is the base of isosceles triangle?
Answer the question using a single word or phrase.

[Assistant] 15

[User]
in the number 11,0 ab, a and b represent the tens and units digits, respectively. if 11,0 ab is divisible by 52, what is the greatest possible value of b × a?
Answer the question using a single word or phrase.

[Assistant] 22


[User]
find the average of first 8 multiples of 5?
Answer the question using a single word or phrase.

[Assistant] 22.5

[User]
a luxury liner, queen marry ii, is transporting several cats as well as the crew ( sailors, a cook, and one - legged captain ) to a nearby port. altogether, these passengers have 16 heads and 45 legs. how many cats does the ship host?
Answer the question using a single word or phrase.

[Assistant] 7

[User]
the lcm of two numbers is 2310 and hcf is 83. if one of the numbers is 210. then what is the other number?
Answer the question using a single word or phrase.

[Assistant] 913

[User]
nhai employs 100 men to build a highway of 2 km in 50 days working 8 hours a day. if in 25 days, they completed 1 / 3 part of work. than how many more employees should nhai hire to finish it in time working 10 hours a day?
Answer the question using a single word or phrase.

[Assistant] 60

[User]
a man is walking at a speed of 6 km per hour. after every km he takes rest for 6 minutes. how much time will he take to cover a distance of 12 km.
Answer the question using a single word or phrase.

[Assistant] 3 hr. 6 min


[User]
what least number must be subtracted from 9671 so that the remaining number is divisible by 2?
Answer the question using a single word or phrase.

[Assistant] 1

[User]
find the value of ( 200 + 200 / 90 ) × 90
Answer the question using a single word or phrase.

[Assistant] 18200

[User]
mr. loyd wants to fence his square shaped land of 130 sqft each side. if a pole is laid every 10 ft how many poles do he need?
Answer the question using a single word or phrase.

[Assistant] 52

[User]
a beekeeper has 600000 bees living in 4 beehives. among these beehives, the sizes of the beehives are proportional to the numbers of bees living in them. no beehive has less than 80 % the number of bees of any other beehive. what is the maximum possible number of bees that the greatest beehive could have?
Answer the question using a single word or phrase.

[Assistant] 176470

[User]
if 36 men can do a piece of work in 25 hours, in how many hours will 10 men do it?
Answer the question using a single word or phrase.

[Assistant] 90


[User]
of the total amount that jill spent on a shopping trip, excluding taxes, she spent 50 percent on clothing, 10 percent on food, and 40 percent on other items. if jill paid a 4 percent tax on the clothing, no tax on the food, and an 8 percent tax on all other items, then the total tax that she paid was what percent of the total amount that she spent, excluding taxes?
Answer the question using a single word or phrase.

[Assistant] 5.2 %

[User]
if the average ( arithmetic mean ) of 4 x - 5, 8 x - 6, and 9 x + 5 is 279, what is the value of x?
Answer the question using a single word or phrase.

[Assistant] 27

[User]
a retailer bought a hat at wholesale and marked it up 70 % to its initial price of $ 34. by how many more dollars does he need to increase the price to achieve a 100 % markup?
Answer the question using a single word or phrase.

[Assistant] 6

[User]
an exam consists of 8 true / false questions. brian forgets to study, so he must guess blindly on each question. if any score above 90 % is a passing grade, what is the probability that brian passes?
Answer the question using a single word or phrase.

[Assistant] 15 / 16

[User]
a fruit seller had some oranges. he sells 30 % oranges and still has 420 oranges. how many oranges he had originally?
Answer the question using a single word or phrase.

[Assistant] 600


[User]
70 is subtracted from 30 % of a number, the result is 20. find the number?
Answer the question using a single word or phrase.

[Assistant] 300

[User]
sonika deposited rs. 8000 which amounted to rs. 9200 after 3 years at simple interest. had the interest been 0.5 % more. she would get how much?
Answer the question using a single word or phrase.

[Assistant] 9320

[User]
what is the area of a square field whose sides have a length of 13 meters?
Answer the question using a single word or phrase.

[Assistant] 169 sq m

[User]
what is the cp of rs 100 stock at 6 discount, with 1 / 5 % brokerage?
Answer the question using a single word or phrase.

[Assistant] 94.2

[User]
x does a work in 15 days. y does the same work in 30 days. in how many days they together will do the same work?
Answer the question using a single word or phrase.

[Assistant] 10


[User]
two trains of equal lengths take 10 sec and 20 sec respectively to cross a telegraph post. if the length of each train be 120 m, in what time will they cross other travelling in opposite direction?
Answer the question using a single word or phrase.

[Assistant] 13 sec

[User]
set a contains all the even numbers between 4 and 50 inclusive. set b contains all the even numbers between 104 and 150 inclusive. what is the difference between the sum of elements of set b and the sum of the elements of set a?
Answer the question using a single word or phrase.

[Assistant] 2400

[User]
for any number y, y * is defined as the greatest positive even integer less than or equal to y. what is the value of 8.2 – 8.2 *?
Answer the question using a single word or phrase.

[Assistant] 2.2

[User]
( 1000 ) 7 ÷ ( 10 ) 20 =?
Answer the question using a single word or phrase.

[Assistant] 10

[User]
a number when divided by 5 gives a number which is 8 more than the remainder obtained on dividing the same number by 34. such a least possible number v is
Answer the question using a single word or phrase.

[Assistant] v = 75


[User]
in the hillside summer camp there are 50 children. 80 % of the children are boys and the rest are girls. the camp administrator decided to make the number of girls only 10 % of the total number of children in the camp. how many more boys must she bring to make that happen?
Answer the question using a single word or phrase.

[Assistant] 50

[User]
a man invests rs. 8,000 at the rate of 5 % per annum. how much more should he invest at the rate of 8 %, so that he can earn a total of 6 % per annum?
Answer the question using a single word or phrase.

[Assistant] rs. 4000

[User]
how many 3 digit odd numbers do not use any digit more than once
Answer the question using a single word or phrase.

[Assistant] 280

[User]
a sum of 25 was paid for a work which a can do in 32 days, b in 20 days, b and c in 12 days and d in 24 days. how much did c receive if all the 4 work together?
Answer the question using a single word or phrase.

[Assistant] 16 ⁄ 3

[User]
a room 13 m 47 cm long and 7 m 77 cm broad is to be paved with square tiles. find the least number of square tiles required to cover the floor.
Answer the question using a single word or phrase.

[Assistant] 116291


[User]
if a number p is prime, and 2 p + 3 = q, where q is also prime, then the decimal expansion of 1 / q will produce a decimal with q - 1 digits. if this method produces a decimal with 166 digits, what is the units digit of the product of p and q?
Answer the question using a single word or phrase.

[Assistant] 1

[User]
what will be the percentage increase in the area of the cube's surface if each of the cube's edges grows by 60 %?
Answer the question using a single word or phrase.

[Assistant] 156 %

[User]
the workforce of company x is 60 % female. the company hired 20 additional male workers, and as a result, the percent of female workers dropped to 55 %. how many employees did the company have after hiring the additional male workers?
Answer the question using a single word or phrase.

[Assistant] 240

[User]
if | 20 x - 10 | = 90, then find the product of the values of x?
Answer the question using a single word or phrase.

[Assistant] - 20

[User]
two brothers took the gmat exam, the higher score is x and the lower one is y. if the difference between the two scores is 1 / 3, what is the value of x / y?
Answer the question using a single word or phrase.

[Assistant] 4


[User]
let a be the event that a randomly selected two digit number is divisible by 2 and let b be the event that a randomly selected two digit number is divisible by 10. what is p ( a and b )?
Answer the question using a single word or phrase.

[Assistant] 1 / 20

[User]
in a flight of 600 km, an aircraft was slowed down due to bad weather. its average speed for the trip was reduced by 200 km / hr and the time of flight increased by 30 minutes. the duration of the flight is :
Answer the question using a single word or phrase.

[Assistant] 1 hour

[User]
a person travels equal distances with speeds of 50 km / hr, 100 km / hr and 120 km / hr and takes a total time of 23 minutes. the total distance is?
Answer the question using a single word or phrase.

[Assistant] 30 km

[User]
two pipes can fill the cistern in 10 hr and 12 hr respectively, while the third empty it in 25 hr. if all pipes are opened simultaneously, then the cistern will be filled in
Answer the question using a single word or phrase.

[Assistant] 6.98 hr

[User]
if 5 + 3 + 2 = 151022, 9 + 2 + 4 = 183652, then 7 + 2 + 5 =?
Answer the question using a single word or phrase.

[Assistant] 143547


[User]
4 mat - weavers can weave 4 mats in 4 days. at the same rate, how many mats would be woven by 14 mat - weavers in 14 days?
Answer the question using a single word or phrase.

[Assistant] 49

[User]
find √? / 15 = 4?
Answer the question using a single word or phrase.

[Assistant] 3600

[User]
if a ( a - 1 ) = 20 and b ( b - 1 ) = 20, where a ≠ b, then a + b =
Answer the question using a single word or phrase.

[Assistant] − 1

[User]
the length of the bridge, which a train 130 meters long and travelling at 45 km / hr can cross in 30 seconds, is?
Answer the question using a single word or phrase.

[Assistant] 245

[User]
a sum of rs. 2743 is lent into two parts so that the interest on the first part for 8 years at 3 % per annum may be equal to the interest on the second part for 3 years at 5 % per annum. find the second sum?
Answer the question using a single word or phrase.

[Assistant] 1688


[User]
tom and john traveled in the same direction along the equal route at their constant speed rates of 15 km per hour and 10 km per hour, respectively. after 15 minutes tom passed john, tom reaches a certain gas station, how many t minutes it takes john to reach the station?
Answer the question using a single word or phrase.

[Assistant] 7 and 1 / 2 min

[User]
when positive integer n is divided by positive integer j, the remainder is 18. if n / j = 134.08, what is value of j?
Answer the question using a single word or phrase.

[Assistant] 225

[User]
a can finish a work in 18 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] 6

[User]
the difference of two numbers is 1375. on dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. what is the smaller number?
Answer the question using a single word or phrase.

[Assistant] 272

[User]
the population of a town is 7600. it decreases annually at the rate of 10 % p. a. what was its population 2 years ago?
Answer the question using a single word or phrase.

[Assistant] 9400


[User]
the average of first 10 prime numbers which are odd is?
Answer the question using a single word or phrase.

[Assistant] 15.8

[User]
on increasing the price of t. v. sets by 60 %, their sale decreases by 20 %. what is the effect on the revenue receipts of the shop?
Answer the question using a single word or phrase.

[Assistant] 28

[User]
a meal cost $ 35.50 adn there was no tax. if the tip was more than 2 pc but less than 12 pc of the price, then the total amount paid should be :
Answer the question using a single word or phrase.

[Assistant] 36 - 40

[User]
in an office in singapore there are 60 % female employees. 50 % of all the male employees are computer literate. if there are total 62 % employees computer literate out of total 1200 employees, then the no. of female employees who are computer literate?
Answer the question using a single word or phrase.

[Assistant] 504

[User]
a paint store mixes 3 / 4 pint of red paint and 2 / 3 pint of white paint to make a new paint color called perfect pink. how many pints of red paint would be needed to make 40 pints of perfect pink paint?
Answer the question using a single word or phrase.

[Assistant] 21


[User]
two trains of length 100 m and 200 m are 100 m apart. they start moving towards each other on parallel tracks, at speeds 72 kmph and 90 kmph. in how much time will the trains cross each other?
Answer the question using a single word or phrase.

[Assistant] 80 / 9

[User]
a fruit seller sells mangoes at the rate of rs. 13 per kg and thereby loses 25 %. at what price per kg, he should have sold them to make a profit of 15 %?
Answer the question using a single word or phrase.

[Assistant] rs. 19.93

[User]
mahesh can do a piece of work in 40 days. he works at it for 20 days and then rajesh finished it in 30 days. how long will y take to complete the work?
Answer the question using a single word or phrase.

[Assistant] 60

[User]
a store ’ s selling price of $ 2240 for a certain printer would yield a profit of 40 percent of the store ’ s cost for the printer. what selling price would yield a profit of 50 percent of the printer ’ s cost?
Answer the question using a single word or phrase.

[Assistant] $ 2400

[User]
a contractor undertakes to built a walls in 50 days. he employs 50 peoples for the same. however after 25 days he finds that only 40 % of the work is complete. how many more man need to be employed to complete the work in time?
Answer the question using a single word or phrase.

[Assistant] 25


[User]
convert 500 miles into meters?
Answer the question using a single word or phrase.

[Assistant] 804670

[User]
the average ( arithmetic mean ) of the 5 positive integers k, m, r, s, and t is 12, and k < m < r < s < t. if t is 20, what is the greatest possible value of the median of the 5 integers?
Answer the question using a single word or phrase.

[Assistant] 20

[User]
a work as fast as b. if b can complete a work in 36 days independently, the number of days in which a and b can together finish the work in?
Answer the question using a single word or phrase.

[Assistant] 12 days

[User]
a car covers a distance of 200 km in 2 hours 40 minutes, whereas a jeep covers the same distance in 2 hours. what is the ratio of t
Answer the question using a single word or phrase.

[Assistant] 3 : 4

[User]
the average of 13 numbers is 60. average of the first 7 of them is 54 and that of the last 7 is 61. find the 8 th number?
Answer the question using a single word or phrase.

[Assistant] 25


[User]
a man is 22 years older than his son. in three years, his age will be thrice the age of his son. the present age of this son is
Answer the question using a single word or phrase.

[Assistant] 8 years

[User]
for each color copy, print shop x charges $ 1.20 and print shop y charges $ 1.70. how much greater is the charge for 70 color copies at print shop y than at print shop x?
Answer the question using a single word or phrase.

[Assistant] $ 35

[User]
pipe a fills a tank of capacity 850 liters at the rate of 40 liters a minute. another pipe b fills the same tank at the rate of 30 liters a minute. a pipe at the bottom of the tank drains the tank at the rate of 20 liters a minute. if pipe a is kept open for a minute and then closed and pipe b is open for a minute and then closed and then pipe c is open for a minute and then closed and the cycle is repeated, when will the tank be full?
Answer the question using a single word or phrase.

[Assistant] 51 minutes

[User]
a picnic attracts 240 persons. there are 80 more men than women, and 80 more adults than children. how many men are at this picnic?
Answer the question using a single word or phrase.

[Assistant] 120

[User]
tap a runs 3 liters of water per minute into a bucket that has a total volume of 36 liters. tap b fills a third of the bucket in 20 mins. working together how long will it take both taps to fill the bucket?
Answer the question using a single word or phrase.

[Assistant] 10 minutes


[User]
a, b and c enter into a partnership. a invests 3 times as much as b invests and 2 / 3 of what c invests. at the end of the year, the profit earned is rs. 22000. what is the share of c?
Answer the question using a single word or phrase.

[Assistant] rs. 6000

[User]
if the radius of a circle is decreased 40 %, what happens to the area?
Answer the question using a single word or phrase.

[Assistant] 64 % decrease

[User]
what is the probability of randomly selecting one of the shortest diagonals from all the diagonals of a regular 9 - sided polygon )?
Answer the question using a single word or phrase.

[Assistant] 1 / 3

[User]
if 10 gallons of grape juice are added to 30 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] 32.5 %

[User]
if ( 10 ^ 4 * 3.456789 ) ^ 12 is written as a single term, how many digits would be to the right of the decimal place?
Answer the question using a single word or phrase.

[Assistant] 24


[User]
convert 150 inches into centimeter?
Answer the question using a single word or phrase.

[Assistant] 381 cm

[User]
one day eesha started 30 min late from home and reached her office 50 min late while driving 25 % slower than her usual speed. how much time in min does eesha usually take to reach her office from home?
Answer the question using a single word or phrase.

[Assistant] 60

[User]
the sum of three consecutive even numbers is 24. find the middle number of the three?
Answer the question using a single word or phrase.

[Assistant] 16

[User]
two trains of equal length, running with the speeds of 50 and 40 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] 5.55 sec

[User]
if 6 men can colour 48 m long cloth in 2 days, then 2 men can colour 36 m long cloth in
Answer the question using a single word or phrase.

[Assistant] 4.5 days


[User]
the decimal 0.1 is how many times greater than the decimal ( 0.001 ) ^ 4?
Answer the question using a single word or phrase.

[Assistant] 10 ^ 11

[User]
in what time will a train 400 meters long cross an electric pole, if its speed is 144 km / hr
Answer the question using a single word or phrase.

[Assistant] 10 seconds

[User]
p software has coding line 5 % more than n, n software has coding line 5 / 2 more than m. m software has 108 lines of coding. find p lines.
Answer the question using a single word or phrase.

[Assistant] 397

[User]
a certain list consists of 21 different numbers. if n is in the list and n is 2 times the average ( arithmetic mean ) of the other 20 numbers in the list, then n is what fraction of the sum of the 21 numbers in the list?
Answer the question using a single word or phrase.

[Assistant] 1 / 11

[User]
the value of a machine depreciates at 20 % per annum. if its present value is rs. 1, 50,000, at what price should it be sold after two years such that a profit of rs. 20,000 is made?
Answer the question using a single word or phrase.

[Assistant] 116000


[User]
mary works in a restaurant a maximum of 60 hours. for the first 20 hours, she is paid $ 8 per hour. for each overtime hour, she is paid at a rate which is 25 % higher than her regular rate. how much mary can earn in a week?
Answer the question using a single word or phrase.

[Assistant] 560

[User]
how many seconds will a 600 m long train take to cross a man walking with a speed of 4 km / hr in the direction of the moving train if the speed of the train is 64 km / hr?
Answer the question using a single word or phrase.

[Assistant] 36

[User]
two interconnected, circular gears travel at the same circumferential rate. if gear a has a diameter of 40 centimeters and gear b has a diameter of 50 centimeters, what is the ratio of the number of revolutions that gear a makes per minute to the number of revolutions that gear b makes per minute?
Answer the question using a single word or phrase.

[Assistant] 5 : 4

[User]
if ( 2 ^ 13 ) ( 25 ^ s ) = 5 ( 10 ^ m ) what is the value of m?
Answer the question using a single word or phrase.

[Assistant] 13

[User]
a, b, c subscribe rs. 50,000 for a business. if a subscribes rs. 4000 more than b and b rs. 5000 more than c, out of a total profit of rs. 36,000, what will be the amount a receives?
Answer the question using a single word or phrase.

[Assistant] 15120


[User]
a glucose solution contains 20 grams of glucose per 1000 cubic centimeters of solution. if 500 cubic centimeters of the solution were poured into an empty container, how many grams of glucose would be in the container?
Answer the question using a single word or phrase.

[Assistant] 10.00

[User]
right triangle abc is to be drawn in the xy - plane so that the right angle is at a and ab is parallel to the y - axis. if the x - and y - coordinates of a, b, and c are to be integers that are consistent with the inequalities - 6 ≤ x ≤ 2 and 4 ≤ y ≤ 9, then how many different triangles can be drawn that will meet these conditions?
Answer the question using a single word or phrase.

[Assistant] 2,160

[User]
the market value of a 10.5 % stock, in which an income of rs. 756 is derived by investing rs. 6000, brokerage being 1 / 4 %, is :
Answer the question using a single word or phrase.

[Assistant] 83.08

[User]
the curved surface of a sphere is 64 pi cm 2. find its radius?
Answer the question using a single word or phrase.

[Assistant] 4 cm

[User]
a hollow iron pipe is 42 cm long and its external diameter is 8 cm. if the thickness of the pipe is 1 cm and iron weighs 3 g / cm 3, then the weight of the pipe is :
Answer the question using a single word or phrase.

[Assistant] 2.772 kg


[User]
a shopping cart contains only apples, oranges, and pears. if there are 3 times as many oranges as apples, and 4 times as many pears as oranges, then the apples are equivalent to what fraction of the pears?
Answer the question using a single word or phrase.

[Assistant] 1 / 12

[User]
the compound interest earned by sunil on a certain amount at the end of two years at the rate of 6 % p. a. was rs. 370.80. find the total amount that sunil got back at the end of two years in the form of principal plus interest earned.
Answer the question using a single word or phrase.

[Assistant] rs. 3370.80

[User]
q ' = 3 q - 3, what is the value of ( 3 ' ) '?
Answer the question using a single word or phrase.

[Assistant] 30

[User]
a watch was sold at a loss of 10 %. if it was sold for rs. 180 more, there would have been a gain of 5 %. what is the cost price?
Answer the question using a single word or phrase.

[Assistant] rs. 1200

[User]
a train 80 m in length crosses a telegraph post in 6 seconds. the speed of the train is?
Answer the question using a single word or phrase.

[Assistant] 48 kmph


[User]
a cheese factory sells its cheese in rectangular blocks. a normal block has a volume of 5 cubic feet. if a large block has three times the width, twice the depth, and half the length of a normal block, what is the volume of cheese in a large block in cubic feet?
Answer the question using a single word or phrase.

[Assistant] 15

[User]
after a storm deposits 120 billion gallons of water into the city reservoir, the reservoir is 60 % full. if the original contents of the reservoir totaled 240 billion gallons, the reservoir was approximately what percentage full before the storm?
Answer the question using a single word or phrase.

[Assistant] 54 %

[User]
the average of first six prime numbers greater than 65 is?
Answer the question using a single word or phrase.

[Assistant] 77

[User]
crazy eddie has a key chain factory. eddie managed to decrease the cost of manufacturing his key chains while keeping the same selling price, and thus increased the profit from the sale of each key chain from 25 % of the selling price to 50 % of the selling price. if the manufacturing cost is now $ 50, what was it before the decrease?
Answer the question using a single word or phrase.

[Assistant] $ 75

[User]
' a'and'b'are positive integers such that their lcm is 20 and their hcf is 1. what is the addition of the maximum and minimum possible values of'a + b '?
Answer the question using a single word or phrase.

[Assistant] 30


[User]
what is the area of an equilateral triangle whose one side length is 70?
Answer the question using a single word or phrase.

[Assistant] 1225 √ 3

[User]
speed of a boat in standing water is 9 kmph and speed of the stream is 1.5 kmph. a man can rows to a place at a distance of 105 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] 24 hours

[User]
the speed at which a man can row a boat in still water is 15 kmph. if he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 30 metres?
Answer the question using a single word or phrase.

[Assistant] 6

[User]
a money lender finds that due to a fall in the annual rate of interest from 8 % to 7 3 / 4 % his yearly income diminishes by rs. 62.50, his capital is?
Answer the question using a single word or phrase.

[Assistant] 25,000

[User]
it was calculated that 75 men could complete a piece of work in 20 days. when work was scheduled to commence, it was found necessary to send 25 men to another project. how much longer will it take to complete the work?
Answer the question using a single word or phrase.

[Assistant] 30


[User]
10 % people of a village in sri lanka died by bombardment, 20 % of the remainder left the village on account of fear. if now the population is reduced to 4500, how much was it in the beginning?
Answer the question using a single word or phrase.

[Assistant] 6250

[User]
the tax on a commodity is diminished by 25 % but its consumption is increased by 10 %. find the decrease percent in the revenue derived from it?
Answer the question using a single word or phrase.

[Assistant] 17.5 %

[User]
a rectangular metallic piece of paper that covers exactly the area of a cube. the length of the piece of paper is 48 inches and the width is 72 inches. what is the volume of the cube in cubic feet is 1 feet is 12 inches?
Answer the question using a single word or phrase.

[Assistant] a 8

[User]
the sum of the first 60 positive even integers is 3,750. what is the sum of the odd integers from 101 to 200, inclusive?
Answer the question using a single word or phrase.

[Assistant] 4,700

[User]
ages of two persons differ by 18 years. if 6 year ago, the elder one be 3 times as old the younger one, find their present age
Answer the question using a single word or phrase.

[Assistant] 15,33


[User]
the h. c. f. of two numbers is 28 and the other two factors of their l. c. m. are 12 and 15. the larger of the two numbers is
Answer the question using a single word or phrase.

[Assistant] 420

[User]
in the first 8 overs of a cricket game, the run rate was only 2.3 what should be the rate in the remaining 20 overs to reach the target of 260 runs?
Answer the question using a single word or phrase.

[Assistant] 12.08

[User]
in the first 20 overs of a cricket game, the run rate was only 4.3. what should be the run rate in the remaining 30 overs to reach the target of 264 runs?
Answer the question using a single word or phrase.

[Assistant] 5.93

[User]
at what price must an article costing rs. 150 be marked in order that after deducting 10 % from the list price. it may be sold at a profit of 30 % on the cost price?
Answer the question using a single word or phrase.

[Assistant] 216.67

[User]
a man can row 8 kmph in still water. when the river is running at 2 kmph, it takes him 1 hour to row to a place and black. what is the total distance traveled by the man?
Answer the question using a single word or phrase.

[Assistant] 7.5


[User]
the average salary of raj and roshan is rs. 4000 but the average salary of raj, roshan and thomas is rs. 5000. what is the salary of thomas?
Answer the question using a single word or phrase.

[Assistant] 7000

[User]
gopi gives rs. 90 plus one turban as salary to his servant for one year. the servant leaves after 9 months and receives rs. 45 and the turban. find the price of the turban.
Answer the question using a single word or phrase.

[Assistant] 90

[User]
the radius of a semi circle is 35 cm then its perimeter is?
Answer the question using a single word or phrase.

[Assistant] 180

[User]
the present worth of rs. 1404 due in two equal half - yearly installments at 8 % per annum simple interest is :
Answer the question using a single word or phrase.

[Assistant] rs. 1350

[User]
a train moves with a speed of 72 kmph. its speed in metres per second is
Answer the question using a single word or phrase.

[Assistant] 20


[User]
40 % of 2 is equal to
Answer the question using a single word or phrase.

[Assistant] 0.8

[User]
how many positive integers less than 243 are multiple of 4 but not multiples of 6?
Answer the question using a single word or phrase.

[Assistant] 40

[User]
a can finish a piece of work in 5 days. b can do it in 10 days. they work together for two days and then a goes away. in how many days will b finish the work?
Answer the question using a single word or phrase.

[Assistant] 4 days

[User]
vishal invested 10 % more than trishul. trishul invested 10 % less than raghu. if the total sum of their investments is rs. 6936, how much amount did raghu invest?
Answer the question using a single word or phrase.

[Assistant] 2400

[User]
an engineer designed a ball so that when it was dropped, it rose with each bounce exactly one - half as high as it had fallen. the engineer dropped the ball from a 20 - meter platform and caught it after it had traveled 59.4 meters. how many times did the ball bounce?
Answer the question using a single word or phrase.

[Assistant] 6


[User]
a rectangular tiled patio is composed of 80 square tiles. the rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles. after the change in layout, the patio will still have 80 tiles, and it will still be rectangular. how many rows are in the tile patio before the change in layout?
Answer the question using a single word or phrase.

[Assistant] 12

[User]
the maximum numbers of students among them 891 pens and 810 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is
Answer the question using a single word or phrase.

[Assistant] 81

[User]
what is the slope of a line on a standard xy - plane that passes through the point ( 1, 3 ) and ( 4, – 3 )?
Answer the question using a single word or phrase.

[Assistant] - 2

[User]
the telephone company wants to add an area code composed of 2 letters to every phone number. in order to do so, the company chose a special sign language containing 124 different signs. if the company used 122 of the signs fully and two remained unused, how many additional area codes can be created if the company uses all 124 signs?
Answer the question using a single word or phrase.

[Assistant] 492

[User]
pipe a can fill a tank in 5 hours. due to a leak at the bottom, it takes 10 hours for the pipe a to fill the tank. in what time can the leak alone empty the full tank?
Answer the question using a single word or phrase.

[Assistant] 10


[User]
a large box contains 20 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] 500

[User]
find the fraction which has the same ratio to 2 / 13 that 5 / 34 has to 7 / 48.
Answer the question using a single word or phrase.

[Assistant] 240 / 1547

[User]
if 40 % of a number is greater than 80 % of 5 by 2, what is the number?
Answer the question using a single word or phrase.

[Assistant] 15

[User]
each week, harry is paid x dollars per hour for the first 30 hours and 2 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 1.5 x dollars for each additional hour worked that week. last week james worked a total of 41 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] 35.75

[User]
in a group of 80 people, 45 have visited iceland and 33 have visited norway. if 41 people have visited both iceland and norway, how many people have visited neither country?
Answer the question using a single word or phrase.

[Assistant] 33


[User]
seven 6 faced dice are thrown together. the probability that all the three show the same number on them is?
Answer the question using a single word or phrase.

[Assistant] 1 / 46656

[User]
the market value of a 10.5 % stock, in which an income of rs. 756 is derived by investing rs. 8000, brokerage being 1 / 4 %, is :
Answer the question using a single word or phrase.

[Assistant] 110.86

[User]
p starts a business with rs. 4000. after 4 months, q joins with p as his partner. after a year, the profit is divided in the ratio 2 : 3. q's contribution in the capital is?
Answer the question using a single word or phrase.

[Assistant] rs. 9000

[User]
what is the probability of getting exactly 1 head in a single throw of five fair coins?
Answer the question using a single word or phrase.

[Assistant] 5 / 32

[User]
- 64 * 29 + 468 =?
Answer the question using a single word or phrase.

[Assistant] - 1388


[User]
there are 70 supermarkets in the fgh chain. all of them are either in the us or canada. if there are 14 more fgh supermarkets in the us than in canada, how many fgh supermarkets are there in the us?
Answer the question using a single word or phrase.

[Assistant] 42

[User]
a is twice as good a work man as b and together they finish the work in 14 days. in how many days a alone can finish the work?
Answer the question using a single word or phrase.

[Assistant] 21

[User]
find the least number must be subtracted from 165826 so that remaining no. is divisible by 4?
Answer the question using a single word or phrase.

[Assistant] 2

[User]
hcf and lcm two numbers are 14 and 396 respectively. if one of the numbers is 36, then the other number is?
Answer the question using a single word or phrase.

[Assistant] 154

[User]
a train 240 m long is running at a speed of 60 km / hr. in what time will it pass a bridge 240 m long?
Answer the question using a single word or phrase.

[Assistant] 28.8 sec


[User]
a trained covered x km at 40 kmph and another 2 x km at 20 kmph. find the average speed of the train in covering the entire 2 x km.
Answer the question using a single word or phrase.

[Assistant] 16 kmph

[User]
if x and y are positive integers, and y = x ^ 2 + 8, the greatest common divisor of a and b can not be
Answer the question using a single word or phrase.

[Assistant] 9

[User]
a light flashes every 12 seconds, how many times will it flash in? of an hour?
Answer the question using a single word or phrase.

[Assistant] 300

[User]
some of the 68 % solution of acid was removed and this was replaced with an equal amount of 11 % solution of acid. as a result, a 35 % solution of acid was obtained. what fraction of the original solution was replaced?
Answer the question using a single word or phrase.

[Assistant] 11 / 19

[User]
how many natural numbers between 23 and 137 are divisible by 7?
Answer the question using a single word or phrase.

[Assistant] 16


[User]
how many times are the hands of a clock at right angle in 6 hours?
Answer the question using a single word or phrase.

[Assistant] 11

[User]
a and b can do a piece of work in 4 days, b and c in 6 days, c and a in 3 days. how long will c take to do it?
Answer the question using a single word or phrase.

[Assistant] 8 days

[User]
45 % of the employees of a company are men. 60 % of the men in the company speak french and 40 % of the employees of the company speak french. what is % of the women in the company who do not speak french?
Answer the question using a single word or phrase.

[Assistant] 76.36 %

[User]
a person spent rs. 6,040 from his salary on food and 5,000 on house rent. after that he was left with 80 % of his monthly salary. what is his monthly salary?
Answer the question using a single word or phrase.

[Assistant] 55,200

[User]
if henry were to add 5 gallons of water to a tank that is already 3 / 4 full of water, the tank would be 7 / 8 full. how many gallons of water would the tank hold if it were full?
Answer the question using a single word or phrase.

[Assistant] 40


[User]
in a box of 10 pens, a total of 3 are defective. if a customer buys 2 pens selected at random from the box, what is the probability that neither pen will be defective?
Answer the question using a single word or phrase.

[Assistant] 7 / 15

[User]
in 10 years, a will be twice as old as b was 10 years ago. if a is now 9 years older than b, the present age of b is :
Answer the question using a single word or phrase.

[Assistant] 39

[User]
in the recent, climate conference in new york, out of 700 men, 500 women, 800 children present inside the building premises, 20 % of the men, 40 % of the women and 10 % of the children were indians. find the percentage of people who were not indian?
Answer the question using a single word or phrase.

[Assistant] 79 %

[User]
a can do a work in 9 days and b can do the same work in 18 days. if they work together, in how many days will they complete the work?
Answer the question using a single word or phrase.

[Assistant] 6 days

[User]
the sum of the numbers is 660. if the first number be twice the second and third number be one - third of the first, then the second number is :
Answer the question using a single word or phrase.

[Assistant] 180


[User]
jim drove 642 miles of a 1200 miles journey. how many more miles does he need to drive to finish his journey?
Answer the question using a single word or phrase.

[Assistant] 558 miles

[User]
working together, jose and jane can complete an assigned task in 30 days. however, if jose worked alone and complete half the work and then jane takes over the task and completes the second half of the task, the task will be completed in 45 days. how long will jose take to complete the task if he worked alone? assume that jane is more efficient than jose
Answer the question using a single word or phrase.

[Assistant] 90 days

[User]
two trains are running in opposite directions in the same speed. the length of each train is 120 meter. if they cross each other in 8 seconds, the speed of each train ( in km / hr ) is
Answer the question using a single word or phrase.

[Assistant] 54

[User]
the floor of a rectangular room is 17 m long and 12 m wide. the room is surrounded by a veranda of width 2 m on all its sides. the area of the veranda is :
Answer the question using a single word or phrase.

[Assistant] 132 m 2

[User]
how many cubes of 2 cm edge can be cut out of a cube of 24 cm edge
Answer the question using a single word or phrase.

[Assistant] 1728


[User]
a sum fetched total simple interest of 4016.25 at the rate of 14 p. c. p. a. in 5 years. what is the sum?
Answer the question using a single word or phrase.

[Assistant] 5737.5

[User]
a train passes a station platform in 36 sec and a man standing on the platform in 21 sec. if the speed of the train is 54 km / hr. what is the length of the platform?
Answer the question using a single word or phrase.

[Assistant] 225

[User]
seed mixture x is 40 % ryegrass and 60 % bluegrass by weight ; seed mixture y is 24 % ryegrass and 75 % fescue. if a mixture of x and y contains 36 % ryegrass, what percent of the weight of the mixture is from mixture x?
Answer the question using a single word or phrase.

[Assistant] 75 %

[User]
hcf of two numbers is 15 and their lcm is 180. if their sum is 105, then the numbers are
Answer the question using a single word or phrase.

[Assistant] 45 and 60

[User]
lloyd normally works 7.5 hours per day and earns $ 5.50 per hour. for each hour he works in excess of 7.5 hours on a given day, he is paid 1.5 times his regular rate. if lloyd works 10.5 hours on a given day, how much does he earn for that day?
Answer the question using a single word or phrase.

[Assistant] $ 66.00


[User]
the cyclist going at a constant rate of 20 miles per hour is passed by a motor - cyclist traveling in the same direction along the same path at 60 miles per hour. the motor - cyclist stops to wait for the cyclist 10 minutes after passing her, while the cyclist continues to travel at constant rate, how many minutes must the motor - cyclist wait until the cyclist catches up?
Answer the question using a single word or phrase.

[Assistant] 20

[User]
how many 4 digit numbers divisible by 4 can be made with digits 1, 2, 3, 4, 5 if the repetition of digits is not allowed?
Answer the question using a single word or phrase.

[Assistant] 30

[User]
x and y are positive integers. when x is divided by 17, the remainder is 3, and when x is divided by 19, the remainder is 1. when y is divided by 14, the remainder is 5, and when y is divided by 21, the remainder is 12. what is the least possible value of y - x?
Answer the question using a single word or phrase.

[Assistant] 13

[User]
how many hours are there in 1200 minutes?
Answer the question using a single word or phrase.

[Assistant] 20

[User]
how many terminating zeroes t does 200! have?
Answer the question using a single word or phrase.

[Assistant] 49


[User]
brindavan express leave chennai central station every day at 07.50 am and goes to bangalore city railway station. this train is very popular among the travelers. on 25 th july 2012 number of passengers traveling by i class and ii class was in the ratio 1 : 4. the fare for this travel is in the ratio 3 : 1. the total fare collected was rs. 224000 /. ( rs. two lakhs 20 4 1000 only ). what was the fare collected from i class passengers on that day?
Answer the question using a single word or phrase.

[Assistant] rs. 96000

[User]
worker a takes 5 hours to do a job. worker b takes 15 hours to do the same job. how long it take both a & b, working together but independently, to do the same job?
Answer the question using a single word or phrase.

[Assistant] 15 / 4

[User]
there are 14 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] 240

[User]
in a theater, the first row has 12 seats and each row has 2 more seats than previous row. if the last row has 48 seats, what is the total number of seats in the theater?
Answer the question using a single word or phrase.

[Assistant] 570

[User]
the average age of a family of 6 members is 22 years. if the age of the youngest member is 7 years, what was the average age of the family at the birth of the youngest member?
Answer the question using a single word or phrase.

[Assistant] 15


[User]
in a certain diving competition, 5 judges score each dive on a scale from 1 to 10. the point value of the dive is obtained by dropping the highest score and the lowest score and multiplying the sum of the remaining scores by the degree of difficulty. if a dive with a degree of difficulty of 3.2 received scores of 7.5, 8.1, 9.0, 6.0, and 8.5, what was the point value of the dive?
Answer the question using a single word or phrase.

[Assistant] 77.12

[User]
a swimming pool 9 m wide and 12 m long is 1 m deep on the shallow side and 4 m deep on the deeper side. its volume is?
Answer the question using a single word or phrase.

[Assistant] 270 m 3

[User]
a man has rs. 10350 in the form of rs. 50 notes and rs. 500 notes. the total number of notes are 54. find the number of notes of rs. 50 denomination.
Answer the question using a single word or phrase.

[Assistant] 37

[User]
one - third less than 15 % of 180 is equal to :
Answer the question using a single word or phrase.

[Assistant] 18

[User]
evaluate 2.5 /. 0005
Answer the question using a single word or phrase.

[Assistant] 5000


[User]
tom opened a shop investing rs. 30000. jose joined him 2 months later, investing rs. 45000. they earned a profit of rs. 63000 after completion of one year. what will be jose's share of profit?
Answer the question using a single word or phrase.

[Assistant] 35000

[User]
a wooden cube whose edge length is 5 inches is composed of smaller cubes with edge lengths of one inch. the outside surface of the large cube is painted red and then it is split up into its smaller cubes. if one cube is randomly selected from the small cubes, what is the probability that the cube will have at least one red face?
Answer the question using a single word or phrase.

[Assistant] 78.4 %

[User]
in may mrs lee's earnings were 60 percent of the lee family's total income. in june mrs lee earned 40 percent more than in may. if the rest of the family's income was the same both months, then, in june, mrs lee's earnings were approximately what percent of the lee family's total income?
Answer the question using a single word or phrase.

[Assistant] 68 %

[User]
if bill can buy 3 pairs of jeans and 2 shirts for $ 69 or 2 pairs of jeans and 3 shirts for $ 86, how much does one shirt cost?
Answer the question using a single word or phrase.

[Assistant] $ 24

[User]
if the cost price of 17 articles is same as the selling price of 25 articles. find the gain or loss percentage?
Answer the question using a single word or phrase.

[Assistant] 32 % loss


[User]
tough and tricky questions : word problems. if bill's salary increased by 16 percent, he would earn $ 812 per month. if instead, his salary were to increase by only 10 percent, how much money r would he earn per month?
Answer the question using a single word or phrase.

[Assistant] $ 770

[User]
a trader sells 85 meters of cloth for rs. 8925 at the profit of rs. 25 per metre of cloth. what is the cost price of one metre of cloth?
Answer the question using a single word or phrase.

[Assistant] 80

[User]
an aeroplane covers a certain distance of 480 kmph in 4 hours. to cover the same distance in 4 1 / 3 hours, it must travel at a speed of
Answer the question using a single word or phrase.

[Assistant] 443

[User]
tough and tricky questions : decimals. the value of x is derived by summing a, b, and c and then rounding the result to the tenths place. the value of y is derived by first rounding a, b, and c to the tenths place and then summing the resulting values. if a = 5.45, b = 2.95, and c = 3.74, what is y – x?
Answer the question using a single word or phrase.

[Assistant] 0.2

[User]
a train covers a distance of 20 km in 30 min. if it takes 18 sec to pass a telegraph post, then the length of the train is?
Answer the question using a single word or phrase.

[Assistant] 200 m


[User]
the radius of a wheel is 22.4 cm. what is the distance covered by the wheel in making 500 resolutions?
Answer the question using a single word or phrase.

[Assistant] 704 m

[User]
12 spheres of the same size are made from melting a solid cylinder of 16 cm diameter and 16 cm height. what is the diameter of each sphere?
Answer the question using a single word or phrase.

[Assistant] 8 cm

[User]
the ratio of the ages of mini and minakshi is 4 : 3. the sum of their ages is 35 years. the ratio of their ages after 8 years will be
Answer the question using a single word or phrase.

[Assistant] 28 : 23

[User]
one fourth of a solution that was 15 % salt by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight. the second solution was what percent salt by weight?
Answer the question using a single word or phrase.

[Assistant] 19 %

[User]
[ 1 / ( 1. 2.3 ) ] + [ 1 / ( 2. 3.4 ) ] + [ 1 / ( 3. 4.5 ) ] + [ 1 / ( 4. 5.6 ) ] is equal to
Answer the question using a single word or phrase.

[Assistant] 7 / 30


[User]
a ’ s speed is 21 / 19 times that of b. if a and b run a race, what part of the length of the race should a give b as a head start, so that the race ends in a dead heat?
Answer the question using a single word or phrase.

[Assistant] 2 / 21

[User]
2.01 ã — 0.001 =?
Answer the question using a single word or phrase.

[Assistant] 0.00201

[User]
if there are half as many women as men in a group and an equal number of men and women do not own cars - a group that is 40 % of the total. what fraction of the total is women who own cars?
Answer the question using a single word or phrase.

[Assistant] 2 ⁄ 15

[User]
the total population of city a and city b is 5000 more than the total population of city b and city c. how much lesser is the population in city c as compared to city a?
Answer the question using a single word or phrase.

[Assistant] 5000

[User]
the ratio between the perimeter and the width of a rectangle is 5 : 1. if the area of the rectangle is 294 sq. cm, what is the length of the rectangle?
Answer the question using a single word or phrase.

[Assistant] 21 cm


[User]
the length of the bridge, which a train 250 metres long and travelling at 72 km / hr can cross in 30 seconds, is :
Answer the question using a single word or phrase.

[Assistant] 350 m

[User]
some of the 50 % solution of acid was removed and this was replaced with an equal amount of 14 % solution of acid. as a result, a 23 % solution of acid was obtained. what fraction of the original solution was replaced?
Answer the question using a single word or phrase.

[Assistant] 3 / 4

[User]
if 7 spiders make 7 webs in 7 days, then 1 spider will make 1 web in how many days?
Answer the question using a single word or phrase.

[Assistant] 7

[User]
if p's height is 40 % less than that of q, how much percent q's height is more than that of p?
Answer the question using a single word or phrase.

[Assistant] 66.66 %

[User]
a can finish a piece of work in 12 days. b can do it in 20 days. they work together for 9 days and then a goes away. in how many days will b finish the work?
Answer the question using a single word or phrase.

[Assistant] 5 days


[User]
if each participant of a chess tournament plays exactly one game with each of the remaining participants, then 120 games will be played during the tournament. find the number of participants.
Answer the question using a single word or phrase.

[Assistant] 16

[User]
a parking garage rents parking spaces for $ 10 per week or $ 35 per month. how much does a person save in a year by renting by the month rather than by the week?
Answer the question using a single word or phrase.

[Assistant] $ 100

[User]
the cost of the paint is rs. 40 per kg. if 1 kg of paint covers 20 sq. ft, how much will it cost to paint outside of a cube having 30 feet each side
Answer the question using a single word or phrase.

[Assistant] rs. 10800

[User]
the sum of four consecutive even numbers is 52, find the third number?
Answer the question using a single word or phrase.

[Assistant] 14

[User]
earl can stuff advertising circulars into envelopes at the rate of 36 envelopes per minutes and ellen requires a minutes and half to stuff the same number of envelops. working together, how long will it take earl and ellen to stuff 60 envelopes
Answer the question using a single word or phrase.

[Assistant] 1 minute


[User]
if 5395 / 4.15 = 1300, then 539.5 / 41.5 is equal to?
Answer the question using a single word or phrase.

[Assistant] 13

[User]
in a certain math department, students are required to enroll in either calculus or trigonometry, each of which is offered in beginner and advanced courses. the number of students enrolled in trigonometry is 50 % greater than the number of students enrolled in calculus, and 80 % of calculus students are enrolled in the beginner course. if 4 / 5 of students are in the beginner courses, and one student is selected at random, what is the probability that an advanced trigonometry student is selected?
Answer the question using a single word or phrase.

[Assistant] 12 %

[User]
pipe a can fill a tank in 15 minutes and pipe b cam empty it in 24 minutes. if both the pipes are opened together after how many minutes should pipe b be closed, so that the tank is filled in 30 minutes?
Answer the question using a single word or phrase.

[Assistant] 24

[User]
a train starts full of passengers at the first station it drops 1 / 3 of the passengers and takes 280 more at the second station it drops one half the new total and takes 12 more. on arriving at the third station it is found to have 242 passengers. find the no of passengers in the beginning?
Answer the question using a single word or phrase.

[Assistant] 270

[User]
a farming field can be ploughed by 6 tractors in 4 days. when 6 tractors work together, each of them ploughs 120 hectares a day. if two of the tractors were moved to another field, then the remaining 4 tractors could plough the same field in 5 days. how many hectares a day would one tractor plough then?
Answer the question using a single word or phrase.

[Assistant] 144


[User]
o ( x ) represents the least odd integer greater than x, whereas o ( x ) represents the greatest odd integer less than x. likewise, e ( x ) represents the least even integer greater than x, whereas e ( x ) represents the greatest even integer less than x. according to these definitions, the value of o ( 3.2 ) + e ( – 1.7 ) + o ( – 3.3 ) + e ( 4.7 ) is :
Answer the question using a single word or phrase.

[Assistant] 4

[User]
a mixture of 125 gallons of wine and water contains 20 % of water. how much water must be added to the mixture in order to increase the percentage of water to 25 % of the new mixture?
Answer the question using a single word or phrase.

[Assistant] 8.33 gallons

[User]
barbata invests $ 3000 in the national bank at 5 %. how much additional money must she invest at 8 % so that the total annual income will be equal to 6 % of her entire investment?
Answer the question using a single word or phrase.

[Assistant] 1500

[User]
the price of a jacket is reduced by 15 %. during a special sale the price of the jacket is reduced another 30 %. by approximately what percent must the price of the jacket now be increased in order to restore it to its original amount?
Answer the question using a single word or phrase.

[Assistant] 68.25

[User]
village p ’ s population is 800 greater than village q's population. if village q ’ s population were reduced by 700 people, then village p ’ s population would be 7 times as large as village q's population. what is village q's current population?
Answer the question using a single word or phrase.

[Assistant] 950


[User]
the ratio of number of boys and girls in a school is 2 : 5. if there are 490 students in the school, find the number of girls in the school?
Answer the question using a single word or phrase.

[Assistant] 350

[User]
the average height of 15 girls out of a class of 30 is 152 cm. and that of the remaining girls is 156 cm. the average height of the whole class is :
Answer the question using a single word or phrase.

[Assistant] 154 cms

[User]
a cylinder of height h is 6 / 7 of water. when all of the water is poured into an empty cylinder whose radius is 25 percent larger than that of the original cylinder, the new cylinder is 3 / 5 full. the height of the new cylinder is what percent of h?
Answer the question using a single word or phrase.

[Assistant] 70 %

[User]
a sum was put a simple interest at a certain rate for 1 years. had it been put at 6 % higher rate, it would have fetched rs. 30 more. the sum is :
Answer the question using a single word or phrase.

[Assistant] s. 500

[User]
of the 19,210 employees of the anvil factory, 2 / 7 are journeymen. if half of the journeymen were laid off, what percentage of the total remaining employees would be journeymen?
Answer the question using a single word or phrase.

[Assistant] 33 %


[User]
two trains are moving in opposite directions @ 60 kmph and 90 kmph. their length are 1.10 km and 0.9 km. the time taken by the slower train to cross faster train in second is?
Answer the question using a single word or phrase.

[Assistant] 48 sec

[User]
how many integers are between 9 and 67 / 5, inclusive?
Answer the question using a single word or phrase.

[Assistant] 5

[User]
total 36 matches are conducted in knockout match type. how many players will be participated in that tournament?
Answer the question using a single word or phrase.

[Assistant] 35

[User]
a pipe can empty 3 / 4 th of a cistern in 12 mins. in 8 mins, what part of the cistern will be empty?
Answer the question using a single word or phrase.

[Assistant] 1 / 2

[User]
benny goes to the market for buying some apples to be distributed between her 9 kids equally. she takes 360 dollars with her. the cost of each apple is 2 dollars. how many apples does she buy to share them equally between her 6 kids?
Answer the question using a single word or phrase.

[Assistant] 30


[User]
in one year, the population, of a village increased by 12 % and in the next year, it decreased by 12 %. if at the end of 2 nd year, the population was 14784, what was it in the beginning?
Answer the question using a single word or phrase.

[Assistant] 15000

[User]
a grocer has a sale of rs. 5266, rs. 5744, rs. 5864, rs. 6122 and rs. 6588 for 5 consecutive months. how much sale must he have in the sixth month so that he gets an average sale of rs. 5750?
Answer the question using a single word or phrase.

[Assistant] 4916

[User]
in a house a hall is 20 m long, 15 m wide and 5 m high. its interior has to be covered with mat. what will be the total expenditure if it costs rs. 20 per square m?
Answer the question using a single word or phrase.

[Assistant] s. 19000

[User]
a shipment of 220 smartphones contains 84 that are defective. if a customer buys two smartphones at random from the shipment, what is the approximate probability that both phones are defective?
Answer the question using a single word or phrase.

[Assistant] 11 / 76

[User]
after decreasing 20 % in the price of an article costs rs. 600. find the actual cost of an article?
Answer the question using a single word or phrase.

[Assistant] 775


[User]
the average score of a cricketer in 2 matches is 27 and in other 3 matches is 32. then find the average score in all the 5 matches?
Answer the question using a single word or phrase.

[Assistant] 30

[User]
the number of singles that a baseball player hit increased 18 percent from her first season to her second season, and the number of doubles that she hit in the same time period decreased by 6 percent. if the total number of singles and doubles that she hit increased 3 percent from her first season to her second season, what is the ratio of the number of singles she hit in her first season to the number of doubles she hit in her first season?
Answer the question using a single word or phrase.

[Assistant] 3 : 5

[User]
if a and d are both integers, a > d, and - 3 c > 19, then the largest value of d would be?
Answer the question using a single word or phrase.

[Assistant] - 8

[User]
huey's hip pizza sells two sizes of square pizzas : a small pizza that measures 6 inches on a side and costs $ 10, and a large pizza that measures 9 inches on a side and costs $ 20. if two friends go to huey's with $ 30 apiece, how many more square inches of pizza can they buy if they pool their money than if they each purchase pizza alone?
Answer the question using a single word or phrase.

[Assistant] 9 square inches

[User]
a reduction of 20 % in the price of salt enables a lady to obtain 20 kgs more for rs. 100, find the original price per kg?
Answer the question using a single word or phrase.

[Assistant] 1.25


[User]
the charge for a single room at hotel p is 50 percent less than the charge for a single room at hotel r and 10 percent less than the charge for a single room at hotel g. the charge for a single room at hotel r is what percent greater than the charge for a single room at hotel g?
Answer the question using a single word or phrase.

[Assistant] 80 %

[User]
0.009 / x = 0.03. find the value of x
Answer the question using a single word or phrase.

[Assistant] 0.3

[User]
a man rows his boat 90 km downstream and 70 km upstream, taking 3 hours each time. find the speed of the stream?
Answer the question using a single word or phrase.

[Assistant] 3.5 kmph

[User]
one night 18 percent of the female officers on a police force were on duty. if 180 officers were on duty that night and half of these were female officers, how many female officers were on the police force?
Answer the question using a single word or phrase.

[Assistant] 500

[User]
there are 24 students in a seventh grade class. they decided to plant birches and roses at the school's backyard. while each girl planted 3 roses, every three boys planted 1 birch. by the end of the day they planted 24 plants. how many birches and roses were planted?
Answer the question using a single word or phrase.

[Assistant] 6


[User]
of the 13 employees in a certain department, 1 has an annual salary of 38,000, 2 have an annual salary of 45,900 each, 2 have an annual salary of 42,500 each, 3 have an annual salary of 40,000 each and 5 have an annual salary of 48,500 each. what is the median annual salary for the 13 employees?
Answer the question using a single word or phrase.

[Assistant] 45,900

[User]
if shares of two persons in profits are rs. 400 and rs. 1200 then ratio of their capitals is
Answer the question using a single word or phrase.

[Assistant] 1 : 3

[User]
rectangular tile each of size 60 cm by 56 cm must be laid horizontally on a rectangular floor of size 560 cm by 240 cm, such that the tiles do not overlap and they are placed with edges jutting against each other on all edges. a tile can be placed in any orientation so long as its edges are parallel to the edges of floor. no tile should overshoot any edge of the floor. the maximum number of tiles that can be accommodated on the floor is :
Answer the question using a single word or phrase.

[Assistant] 40

[User]
the l. c. m of two numbers is 495 and their h. c. f is 5. if the sum of the numbers is 10, then their difference is
Answer the question using a single word or phrase.

[Assistant] 10

[User]
how many 4 digit numbers are there, if it is known that the first digit is even, the second is odd, the third is prime, the fourth ( units digit ) is divisible by 3, and the digit 9 can be used only once?
Answer the question using a single word or phrase.

[Assistant] 304


[User]
there are two positive numbers in the ratio 5 : 8. if the larger number exceeds the smaller by 45, then find the smaller number?
Answer the question using a single word or phrase.

[Assistant] 75

[User]
the sum of ages of 4 children born 2 years different each is 36 years. what is the age of the elder child?
Answer the question using a single word or phrase.

[Assistant] 12

[User]
if ajay completes a certain work in 8 days and vijay can complete the same work in 24 days, find the time in which the work will be completed if both ajay and vijay work together.
Answer the question using a single word or phrase.

[Assistant] 6 days

[User]
a cube of edge 15 cm is immersed completely in a rectangular vessel containing water. if the dimensions of the base of vessel are 20 cm * 14 cm, find the rise in water level?
Answer the question using a single word or phrase.

[Assistant] 12.05 cm

[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 / 9 of all the paint. during the second week, he uses 1 / 5 of the remaining paint. how many gallons of paint has joe used?
Answer the question using a single word or phrase.

[Assistant] 104


[User]
what is the sum of 59 consecutive integers from - 29 inclusive, in a increasing order?
Answer the question using a single word or phrase.

[Assistant] 0

[User]
if an integer n is to be selected at random from 1 to 400, inclusive, what is probability n ( n + 1 ) will be divisible by 8?
Answer the question using a single word or phrase.

[Assistant] 1 / 4

[User]
students at a school were on average 180 cm tall. the average female height was 170 cm, and the average male height was 185 cms. what was the ratio of men to women?
Answer the question using a single word or phrase.

[Assistant] 2 : 1

[User]
a and b start walking towards each other at 6 pm at speed of 4 kmph and 6 kmph. they were initially 18 km apart. at what time do they meet?
Answer the question using a single word or phrase.

[Assistant] 8 pm

[User]
calculate the l. c. m of 5 / 6, 4 / 7, 9 / 10, 8 / 9 is :
Answer the question using a single word or phrase.

[Assistant] 360


[User]
find the least positive integer divisible by each of the integers between 5 through 10 ( including 10 ).
Answer the question using a single word or phrase.

[Assistant] 2520

[User]
a number when divided by a divisor leaves a remainder of 25. when twice the original number is divided by the same divisor, the remainder is 11. what is the value of the divisor?
Answer the question using a single word or phrase.

[Assistant] 38

[User]
dexter and prexter are competing with each other in a friendly community competition in a pool of 50 m length and the race is for 1000 m. dexter crosses 50 m in 2 min and prexter in 3 min 15 sec. each time they meet / cross each other, they do handshake's. how many such handshake's will happen if they start from the same end at the same time?
Answer the question using a single word or phrase.

[Assistant] 19

[User]
find the average of all numbers between 6 and 34 which are divisible by 5
Answer the question using a single word or phrase.

[Assistant] 20

[User]
two numbers are less than third number by 35 % and 37 % respectively. how much percent is the second number less than by the first
Answer the question using a single word or phrase.

[Assistant] 33 %


[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 $ 8 more than 1 / 4 of the fine and peter paid $ 8 less than 1 / 3 of the fine, leaving pay $ 15 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] $ 75

[User]
according to the directions on a packet of smoothie mix, 1 3 - ounce packet of smoothie mix is to be combined with 12 ounces of water to make a smoothie. how many 2 - ounce packets of smoothie mix are required to prepare 150 12 - ounce smoothies?
Answer the question using a single word or phrase.

[Assistant] 180

[User]
a man gains 60 % by selling an article for a certain price. if he sells it at double the price, the percentage of profit will be.
Answer the question using a single word or phrase.

[Assistant] 320 %

[User]
the difference between a two - digit number and the number obtained by interchanging the positions of its digits is 54. what is the difference between the two digits of that number?
Answer the question using a single word or phrase.

[Assistant] 6

[User]
the ratio, by volume, of soap to alcohol to water in a certain solution is 2 : 40 : 70. the solution will be altered so that the ratio of soap to alcohol is doubled while the ratio of soap to water is halved. if the altered solution will contain 100 cubic centimeters of alcohol, how many cubic centimeters of water will it contain?
Answer the question using a single word or phrase.

[Assistant] 700


[User]
a grocery shop has a sale of rs. 6435, rs. 6927, rs. 6855, rs. 7230 and rs. 6562 for 5 consecutive months. how much sale must he have in the sixth month so that he gets an average sale of rs. 6500?
Answer the question using a single word or phrase.

[Assistant] 4991

[User]
if rs. 420 amount to rs. 540 in 4 years, what will it amount to in 6 years at the same rate % per annum?
Answer the question using a single word or phrase.

[Assistant] s. 600

[User]
what is the ratio of 3 / 7 to the product 2 * ( 7 / 3 )?
Answer the question using a single word or phrase.

[Assistant] 9 : 98

[User]
if 40 % of a number exceeds 20 % of it by 12, then find the number?
Answer the question using a single word or phrase.

[Assistant] 60

[User]
a discount electronics store normally sells all merchandise at a discount of 5 percent to 25 percent off the suggested retail price. if, during a special sale, an additional 25 percent were to be deducted from the discount price, what would be the lowest possible price of an item costing $ 300 before any discount?
Answer the question using a single word or phrase.

[Assistant] $ 168.75


[User]
a train covers a distance of 12 km in 10 minutes. if it takes 6 seconds to pass a telegraph post, then the length of the train is :
Answer the question using a single word or phrase.

[Assistant] 120 m

[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. 3.20 lacs. how many workers were they?
Answer the question using a single word or phrase.

[Assistant] 400

[User]
each digit 1 through 5 is used exactly once to create a 5 - digit integer. if the 1 and the 2 can not be adjacent digits in the integer, how many 5 - digit integers are possible?
Answer the question using a single word or phrase.

[Assistant] none of these

[User]
if a rectangular billboard has an area of 130 square feet and a perimeter of 46 feet, what is the length of each of the longer sides?
Answer the question using a single word or phrase.

[Assistant] 13

[User]
a train running at the speed of 60 km / hr crosses a pole in 6 seconds. what is the length of the train?
Answer the question using a single word or phrase.

[Assistant] 100 metres


[User]
find the greatest number which on dividing 3815 and 4521, leaves a reminder of 31 and 33 respectively
Answer the question using a single word or phrase.

[Assistant] 88

[User]
16 men can complete a piece of work in 28 days. in how many days can 20 men complete that piece of work?
Answer the question using a single word or phrase.

[Assistant] 22.4 days

[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 16 hours and 25 hours respectively. the ratio of their speeds is?
Answer the question using a single word or phrase.

[Assistant] 5 : 4

[User]
a man deposits $ 2000 in a bank at 4 % per annum and $ 3000 in uti at 14 % per annum. find the rate of interest for the whole sum.
Answer the question using a single word or phrase.

[Assistant] 17 %

[User]
the credit card and a global payment processing companies have been suffering losses for some time now. a well known company recently announced its quarterly results. according to the results, the revenue fell to $ 55.0 billion from $ 69.0 billion, a year ago. by what percent did the revenue fall?
Answer the question using a single word or phrase.

[Assistant] 25.5


[User]
convert 30 miles into yards?
Answer the question using a single word or phrase.

[Assistant] 52800 yards

[User]
a garrison of 2000 men has provisions for 65 days. at the end of 15 days, a reinforcement arrives, and it is now found that the provisions will last only for 20 days more. what is the reinforcement?
Answer the question using a single word or phrase.

[Assistant] 3000

[User]
in what time will a railway train 70 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Answer the question using a single word or phrase.

[Assistant] 7 sec

[User]
a retail appliance store priced a video recorder at 20 percent above the wholesale cost of $ 200. if a store employee applied the 20 percent employee discount to the retail price to buy the recorder, how much did the employee pay for the recorder?
Answer the question using a single word or phrase.

[Assistant] $ 192

[User]
what is the sum of all 3 digit numbers that leave a remainder of'2'when divided by 5?
Answer the question using a single word or phrase.

[Assistant] 98,910


[User]
how many positive integers h between 200 and 300 ( both inclusive ) are not divisible by 2, 3 or 5?
Answer the question using a single word or phrase.

[Assistant] 26

[User]
if the sides of a triangle are 91 cm, 84 cm and 35 cm, what is its area?
Answer the question using a single word or phrase.

[Assistant] 1470 cm 2

[User]
for every even positive integer m, f ( m ) represents the product of all even integers from 2 to m, inclusive. for example, f ( 12 ) = 2 x 4 x 6 x 8 x 10 x 12. what is the greatest prime factor of f ( 28 )?
Answer the question using a single word or phrase.

[Assistant] 13

[User]
mike needs 30 % to pass. if he scored 212 marks and falls short by 16 marks, what was the maximum marks he could have got?
Answer the question using a single word or phrase.

[Assistant] 760

[User]
a student completes a 3 part exam as follows. the student completes sections a in 18 minutes and takes an equal time to complete the two remaining sections. what is the ratio of time spent on section c to section a if the total duration is 1 hour?
Answer the question using a single word or phrase.

[Assistant] 7 : 6


[User]
. a car covers a distance of 742 km in 7 hours. find its speed?
Answer the question using a single word or phrase.

[Assistant] 148

[User]
how many bricks each measuring 20 cm x 10 cm x 8 cm, will be needed to build a wall 10 m x 8 m x 24.5 m
Answer the question using a single word or phrase.

[Assistant] 12250

[User]
angelo and isabella are both salespersons. in any given week, angelo makes $ 550 in base salary plus 8 percent of the portion of his sales above $ 2,000 for that week. isabella makes 10 percent of her total sales for any given week. for what amount of weekly sales would angelo and isabella earn the same amount of money?
Answer the question using a single word or phrase.

[Assistant] 19,500

[User]
if 45 % of z is 120 % of y and y is 75 % of x, what percent of x is z?
Answer the question using a single word or phrase.

[Assistant] 200

[User]
if money is invested at r percent interest, compounded annually, the amount of the investment will double in approximately 50 / r years. if luke's parents invested $ 13,500 in a long term bond that pays 12 percent interest compounded annually, what will be the approximate total amount of the investment 12 years later, when luke is ready for college?
Answer the question using a single word or phrase.

[Assistant] 100,500


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

[Assistant] 9

[User]
how is 4 % expressed as a decimal fraction?
Answer the question using a single word or phrase.

[Assistant] 0.04

[User]
in a certain school, the ratio of boys to girls is 5 to 13. if there are 128 more girls than boys, how many boys are there?
Answer the question using a single word or phrase.

[Assistant] 80

[User]
i remember during the school days, the teacher asked the class ` ` can you tell me the sum of the first 50 odd numbers? ` `. i ran quickly to the teacher and told her ` ` the answer is 2500 ' '. the teacher replied ` ` lucky guess ' '. she then asked me ` ` can you tell me the sum of first 75 odd numbers? ` `. i wait for approx 10 seconds and replied with the correct answer. how can i answer so quickly and whats the correct answer?
Answer the question using a single word or phrase.

[Assistant] 5625

[User]
in one hour, a boat goes 11 km along the stream and 7 km against the stream. the sped of the boat in still water ( in km / hr ) is :
Answer the question using a single word or phrase.

[Assistant] 9


[User]
the average of first five prime numbers greater than 10 is?
Answer the question using a single word or phrase.

[Assistant] 16.6

[User]
following an increase in prices, the price of a candy box was 15 pounds and the price of a can of soda was 6 pounds. if the price of a candy box was raised by 25 %, and the price of a can of soda was raised by 50 %. what was the price of a box of candy plus a can of soda before prices were raised?
Answer the question using a single word or phrase.

[Assistant] 16

[User]
city a and city b are 140 miles apart. train c departs city a, heading towards city b, at 4 : 00 and travels at 40 miles per hour. train d departs city b, heading towards city a, at 4 : 20 and travels at 20 miles per hour. the trains travel on parallel tracks. at what time do the two trains meet?
Answer the question using a single word or phrase.

[Assistant] 6 : 20

[User]
a mathematics teacher tabulated the marks secured by 35 students of 8 th class. the average of their marks was 72. if the marks secured by reema was written as 46 instead of 56 then find the correct average marks up to two decimal places.
Answer the question using a single word or phrase.

[Assistant] 72.28

[User]
a number when divided by a divisor leaves a remainder of 21. when twice the original number is divided by the same divisor, the remainder is 11. what is the value of the divisor?
Answer the question using a single word or phrase.

[Assistant] 37


[User]
last year a certain bond price with a face value of 5000 yielded 7 % of its face value in interest. if that interest was approx 6.5 of the bond's selling price approx what was the bond's selling price?
Answer the question using a single word or phrase.

[Assistant] 5385

[User]
a 300 m long train crosses a platform in 54 sec while it crosses a signal pole in 18 sec. what is the length of the platform?
Answer the question using a single word or phrase.

[Assistant] 600

[User]
a can run 4 times as fast as b and gives b a start of 72 m. how long should the race course be so that a and b might reach in the same time?
Answer the question using a single word or phrase.

[Assistant] 96 m

[User]
evaluate : 30 - 12 ÷ 3 × 2 =?
Answer the question using a single word or phrase.

[Assistant] 22

[User]
a certain telephone company offers two plans, a and b. under plan a, the company charges a total of $ 0.60 for the first 5 minutes of each call and $ 0.06 per minute thereafter. under plan b, the company charges $ 0.08 per minute of each call. what is the duration of a call, in minutes, for which the company charges the same amount under plan a and under plan b?
Answer the question using a single word or phrase.

[Assistant] 15


[User]
an employer pays rs. 30 for each day a worker works, and forfeits rs. 5 for each day he is idle. at the end of 60 days, a worker gets rs. 500. for how many days did the worker remain idle?
Answer the question using a single word or phrase.

[Assistant] 52

[User]
a can finish a piece of work in 5 days. b can do it in 15 days. they work together for two days and then a goes away. in how many days will b finish the work?
Answer the question using a single word or phrase.

[Assistant] 7 days

[User]
find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 16 cm
Answer the question using a single word or phrase.

[Assistant] 304 cm 2

[User]
a policeman noticed a criminal from a distance of 180 km. the criminal starts running and the policeman chases him. the criminal and the policeman run at the rate of 8 km and 9 km per hour respectively. what is the distance between them after 5 minutes?
Answer the question using a single word or phrase.

[Assistant] 96.7 m

[User]
8269 ã — 9998 =?
Answer the question using a single word or phrase.

[Assistant] 82673462


[User]
let f ( x ) = x ^ 2 + bx + c. if f ( 1 ) = 0 and f ( - 8 ) = 0, then f ( x ) crosses the y - axis at what y - coordinate?
Answer the question using a single word or phrase.

[Assistant] - 8

[User]
two numbers are in the ratio of 5 : 7. if 12 is subtracted from each number, they are in the ratio of 11 : 17. what are the two numbers?
Answer the question using a single word or phrase.

[Assistant] 45, 63

[User]
the sale price sarees listed for rs. 600 after successive discount is 10 % and 5 % is?
Answer the question using a single word or phrase.

[Assistant] 513

[User]
in an election between two candidates a and b, the number of valid votes received by a exceeds those received by b by 15 % of the total number of votes polled. if 20 % of the votes polled were invalid and a total of 6720 votes were polled, then how many valid votes did b get?
Answer the question using a single word or phrase.

[Assistant] 2184

[User]
harold works at a resort from the beginning of march to the end of september. during the month of august this past year, he made 5 times the average ( arithmetic mean ) of his monthly totals in tips for the other months. his total tips for august were what fraction of his total tips for all of the months he worked?
Answer the question using a single word or phrase.

[Assistant] 5 / 11