[User]
a and b can do a piece of work in 4 days. with the help of c they finish the work in 3 days. c alone can do that piece of work in?
Answer the question using a single word or phrase.

[Assistant] 12 days

[User]
in a garden, there are 10 rows and 16 columns of mango trees. the distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden. the length of the garden is
Answer the question using a single word or phrase.

[Assistant] 32 m

[User]
on a certain date, pat invested $ 9,000 at x percent annual interest, compounded annually. if the total value of the investment plus interest at the end of 10 years will be $ 36,000, in how many years total will the total value of the investment plus interest increase to $ 72,000?
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[Assistant] 15

[User]
30 pens and 75 pencils were purchased for 510. if the average price of a pencil was 2.00, find the average price of a pen.
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[Assistant] 12

[User]
a train is 357 meter long is running at a speed of 42 km / hour. in what time will it pass a bridge of 137 meter length?
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[Assistant] 42.343


[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 34 pints of perfect pink paint?
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[Assistant] 18

[User]
the value of ( 0.137 + 0.098 ) ² - ( 0.137 - 0.098 ) ² / 0.137 × 0.098 is
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[Assistant] 4

[User]
a grocer 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. 6900?
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[Assistant] s. 7391

[User]
mahesh marks an article 15 % above the cost price of rs. 540. what must be his discount percentage if he sells it at rs. 457?
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[Assistant] 26.4 %

[User]
a cheese factory sells its cheese in rectangular blocks. a normal block has a volume of 8 cubic feet. if a small block has half the width, half the depth, and half the length of a normal block, what is the volume of cheese in a small block in cubic feet?
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[Assistant] 1


[User]
boy sells a book for rs. 450 he gets a loss of 10 %, to gain 10 %, at price he should sell?
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[Assistant] rs. 550

[User]
how many seconds does sandy take to cover a distance of 700 meters, if sandy runs at a speed of 18 km / hr?
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[Assistant] 140

[User]
5358 x 51 =?
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[Assistant] 273258

[User]
a company purchased raw material worth 1 / 4 of it capital, 1 / 10 of the remaining is spent on machinery. how much fraction of the capital was left with the company after its expenditures on raw material and machinery?
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[Assistant] 27 / 40

[User]
if x = y = 2 z and xyz = 256 then what is the value of x?
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[Assistant] 8


[User]
danny is sitting on a rectangular box. the area of the front face of the box is half the area of the top face, and the area of the top face is 1.5 times the area of the side face. if the volume of the box is 5184, what is the area of the side face of the box?
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[Assistant] 288

[User]
if a ã — b = 2 a - 3 b + ab, then 4 ã — 5 + 5 ã — 4 is equal to :
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[Assistant] 31

[User]
my grandson is about as many days as my son in weeks, and my grandson is as many months as i am in years. my grandson, my son and i together are 100 years. can you tell my grandson age in years?
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[Assistant] 5 years

[User]
what is the difference between the place values of two sevens in the numeral 54179759?
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[Assistant] 69300

[User]
the manager at a health foods store mixes a unique superfruit juice cocktail that costs $ 1399.45 per litre to make. the cocktail includes mixed fruit juice and a ç ai berry juice, which cost $ 262.85 per litre and $ 3104.35 per litre, respectively. the manager has already opened 34 litres of the mixed fruit juice. how many litres of the a ç ai berry juice does he need to add?
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[Assistant] 22.67 litres


[User]
the equation of line s is y = 4 / 3 * x - 100. what is the smallest possible distance in the xy - plane from the point with coordinates ( 0, 0 ) to any point on line s?
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[Assistant] 60

[User]
jim â € ™ s taxi service charges an initial fee of $ 2.0 at the beginning of a trip and an additional charge of $ 0.35 for each 2 / 5 of a mile traveled. what is the total charge for a trip of 3.6 miles?
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[Assistant] $ 5.15

[User]
to a sugar solution of 10 liters containing 50 % sugar, 10 liter of water is added. the percentage of sugar in the new solution is?
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[Assistant] 25 %

[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 2 / 3 of all the paint. during the second week, he uses 1 / 5 of the remaining paint. how many gallons of paint has joe used?
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[Assistant] 264

[User]
a two - digit number is such that the product of the digits is 8. when 18 is added to the number, then the digits are reversed. the number is?
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[Assistant] 2


[User]
a clothing store purchased a pair of pants for $ 81 and was selling it at a price that equaled the purchase price of the pants plus a markup that was 25 percent of the selling price. after some time a clothing store owner decided to decrease the selling price by 20 percent. what was the clothing store's gross profit on this sale?
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[Assistant] $ 5.4

[User]
find the average of all prime numbers between 80 and 100
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[Assistant] 89.6

[User]
a certain number when divided by 65 leaves a remainder 25, what is the remainder if the same no. be divided by 15?
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[Assistant] 6

[User]
a train 240 meters long is running with a speed of 60 kmph. in what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Answer the question using a single word or phrase.

[Assistant] 13

[User]
the wages earned by robin is 30 % more than that earned by erica. the wages earned by charles is 70 % more than that earned by erica. how much percent is the wages earned by charles more than that earned by robin?
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[Assistant] 31 %


[User]
two brothers ram and ravi appeared for an exam. the probability of selection of ram is 3 / 7 and that of ravi is 1 / 5. find the probability that both of them are selected.
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[Assistant] 3 / 35

[User]
two trains start at same time from two stations and proceed towards each other at the rate of 20 km / hr and 25 km / hr respectively. when they meet, it is found that one train has traveled 60 km more than the other. what is the distance between the two stations?
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[Assistant] 540 km

[User]
a set consists of 18 numbers, all are even or multiple of 5. if 6 numbers are even and 12 numbers are multiple of 5, how many numbers is multiple of 10?
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[Assistant] 0

[User]
what is the units digit of 17 ^ 83 × 13 ^ 52 × 11 ^ 87?
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[Assistant] 5

[User]
during a certain two - week period, 50 percent of the movies rented from a video store were comedies, and of the remaining movies rented, there were 9 times as many dramas as action movies. if no other movies were rented during that two - week period and there were a action movies rented, then how many comedies, in terms of a, were rented during that two - week period?
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[Assistant] 10 a


[User]
the average of 7 consecutive numbers is 20. the largest of these numbers is
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[Assistant] 23

[User]
( 128.5 x 25 ) + ( 13.8 x 50 ) =? x 50
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[Assistant] 78.05

[User]
a bookseller sells his books at a 15 % markup in price. if he sells a book for $ 23.00, how much did he pay for it?
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[Assistant] $ 20.00

[User]
there are 20 poles with a constant distance between each pole. a car takes 24 second to reach the 12 th pole. how much will it take to reach the last pole.
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[Assistant] 41.4545

[User]
a person walks from one end to the other of a 100 - meter long moving walkway at a constant rate in 50 seconds, assisted by the walkway. when this person reaches the end, they reverse direction and continue walking with the same speed, but this time it takes 150 seconds because the person is traveling against the direction of the moving walkway. if the walkway were to stop moving, how many seconds would it take this person to walk from one end of the walkway to the other?
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[Assistant] 75


[User]
what will be the compound interest on a sum of rs. 23,000 after 3 years at the rate of 12 % p. a.?
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[Assistant] rs. 9313.34

[User]
the radius of a wheel is 16.8 cm. what is the distance covered by the wheel in making 300 resolutions?
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[Assistant] 316.512 m

[User]
evaluate : 6302.5 + 630.25 + 63.025 + 6.3025 + 0.63025
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[Assistant] 7002.70775

[User]
what is the sum of all the prime numbers from 20 to 40?
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[Assistant] 120

[User]
evaluate 30! / 28!
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[Assistant] 870


[User]
at present the ratio between the ages of arun and deepak is 2 : 5. after 10 years arun's age will be 30 years. what is the age of the deepak?
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[Assistant] 50

[User]
100 liters of a mixture contains milk and water in the ratio 4 : 1. if 10 liters of this mixture be replaced by 10 liters of milk, the ratio of milk to water in the new mixture would be?
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[Assistant] 9 : 2

[User]
there are 8 baskets numbered from 1 to 8 and filled with apples. 10 children are asked to pick apples one by one from each basket such that the number of apples picked by each child from each basket is equal to the number marked on the basket. if there were 1000 apples in total and the baskets were filled in such a way that none of the basket became empty in the process, how many apples were left in the end?
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[Assistant] 640

[User]
a rectangular floor that measures 6 meters by 10 meters is to be covered with carpet squares that each measure 2 meters by 2 meters. if the carpet squares cost $ 15 apiece, what is the total cost for the number of carpet squares needed to cover the floor?
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[Assistant] $ 225

[User]
on multiplying a numberz by 153, the result obtained was 102325. however, it is found that both the 2's are wrong. find the correct result.
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[Assistant] 109395


[User]
the average age of 40 passengers in a ferry is 35. what is the average age of the new group formed when combining the passengers with the 5 crew members of ferry whose average age is 25?
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[Assistant] 38.89

[User]
in a company of 15 employees, 6 employees earn $ 37,000, 5 employees earn $ 42,000, and the 4 highest - paid employees earn the same amount. if the average annual salary for the 15 employees is $ 45,000, what is the annual salary for each of the highest - paid employees?
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[Assistant] $ 60,750

[User]
what is the units digit of ( 493 ) ( 915 ) ( 381 ) ( 756 ) ( 22 )
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[Assistant] 1

[User]
a furniture dealer purchased a desk for $ 150 and then set the selling price equal to the purchase price plus a markup that was 25 % of the selling price. if the dealer sold the desk at the selling price, what was the amount of the dealer's gross profit from the purchase and the sale of the desk?
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[Assistant] 33.33 %

[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 90 kmph and 108 kmph. in how much time will the trains cross each other?
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[Assistant] 80 / 11


[User]
at a conference table, 6 employees gather around a table. one of the employees is the manager and he sits at the head of the table. two of the employees sit on either side of the table. how many different seating arrangements can be made with these 6 employees?
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[Assistant] 120

[User]
if q and t are positive integers, qt + q + t can not be
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[Assistant] 6

[User]
an urn contains 5 red, 6 blue and 8 green balls. 4 balls are randomly selected from the urn, find the probability that the drawn ball are 1 blue and 1 red and 2 green balls?
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[Assistant] 70 / 323

[User]
a toy factory stores its toys in either a big box or a small box. the big box can store 35 toys while the small box can store 14 toys. if the factory is to store 86 newly manufactured toys, what is the least number of toys that will be left unboxed?
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[Assistant] 2

[User]
a tank contains 10,000 gallons of a solution that is 5 percent sodium chloride by volume. if 3,500 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride?
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[Assistant] 7.69 %


[User]
a train leaves delhi at 9 a. m. at a speed of 30 kmph. another train leaves at 2 p. m. at a speed of 35 kmph on the same day and in the same direction. how far from delhi, will the two trains meet?
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[Assistant] 1050 km

[User]
total dinning bill for 9 people was $ 211.00. if they add 15 % tip and divided the bill evenly, approximate. what was each persons find share
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[Assistant] 26.96

[User]
a sum of money at simple interest amounts to rs. 805 in 3 years and to rs. 854 in 4 years. the sum is :
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[Assistant] s. 688

[User]
a shopkeeper fixes the marked price of an item 25 % above its cost price. the percentage of discount allowed to gain 8 % is
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[Assistant] 12.59 %

[User]
a small company is planning to rent either computer a or computer b to print customer mailing lists. both computer a and computer b must be rented on an hourly basis. the rental fee is based only on the amount of time the computer is turned on. it will cost 40 percent more per hour to rent computer a than to rent computer b. computer b would, however, require 20 hours more than computer a to do the job. if either computer a, or computer b were rented the total cost to rent the computer would be $ 550.00. what would be the approximate hourly charge to rent computer b?
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[Assistant] $ 7.85


[User]
a candidate got 30 % of the votes polled and he lost to his rival by 1760 votes. how many votes were cast?
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[Assistant] 4400

[User]
if 4 / p = 8 & 4 / q = 18 then p - q =?
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[Assistant] 5 / 18

[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 q minutes it takes john to reach the station?
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[Assistant] 7 and 1 / 2 min

[User]
a student completes a 3 part exam as follows. the student completes section a in 10 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?
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[Assistant] 5 : 2

[User]
a certain drink of type a is prepared by mixing 4 parts milk with 3 parts fruit juice. another drink of type b is prepared by mixing 4 parts of fruit juice and 3 parts of milk. how many liters of fruit juice must be added to 21 liters of drink a to convert it to drink b?
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[Assistant] 7


[User]
the l. c. m. of two numbers is 54. the numbers are in the ratio 2 : 3. then sum of the number is :
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[Assistant] 45

[User]
simple interest on a certain sum of money for 3 years at 8 % per annum is half the compound interest on rs. 4000 for 2 years at 10 % per annum. the sum placed on simple interest is
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[Assistant] rs 1750

[User]
a car is purchased on hire - purchase. the cash price is $ 21 000 and the terms are a deposit of 10 % of the price, then the balance to be paid off over 60 equal monthly instalments. interest is charged at 12 % p. a. what is the monthly instalment?
Answer the question using a single word or phrase.

[Assistant] $ 504

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

[Assistant] 24 m

[User]
the radius of a wheel is 25.4 cm. what is the distance covered by the wheel in making 500 resolutions?
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[Assistant] 798.3 m


[User]
divide $ 2000 among b, c in the ratio 4 : 16. how many $ that c get?
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[Assistant] $ 1600

[User]
an agent, gets a commission of 2.5 % on the sales of cloth. if on a certain day, he gets rs. 15 as commission, the cloth sold through him on that day is worth
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[Assistant] 600

[User]
the smallest 6 digit number exactly divisible by 111 is?
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[Assistant] 100011

[User]
according to the direction on a can of frozen orange juice concentrate is to be mixed with 3 cans of water to make orange juice. how many 12 - ounce cans of the concentrate are required to prepare 272 6 - ounce servings of orange juice?
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[Assistant] 34

[User]
the length of a rectangular field is 7 / 5 its width. if the perimeter of the field is 432 meters, what is the width of the field?
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[Assistant] 90


[User]
a train 160 m long is running at 30 kmph. in how much time will it pass a platform 120 m long?
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[Assistant] 14.93 seconds

[User]
the salaries of a and b together amount to $ 2000. a spends 95 % of his salary and b, 85 % of his. if now, their savings are the same, what is a's salary?
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[Assistant] $ 1500

[User]
what is the least value of p, so that 123 p 578 is divisible by 11
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[Assistant] 8

[User]
a train covers a distance of 12 km in 10 min. if it takes 11 sec to pass a telegraph post, then the length of the train is?
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[Assistant] 220 m

[User]
a man invested rs. 14,400 in rs. 100 shares of a company at 20 % premium. if his company declares 5 % dividend at the end of the year, then how much does he get?
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[Assistant] 600


[User]
a man sold 18 toys for rs. 27300, gaining thereby the cost price of 3 toy find the cost price of a toy
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[Assistant] s. 1300

[User]
if 5 < x < 11 and y = x + 7, what is the greatest possible integer value of x + y?
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[Assistant] 28

[User]
having received his weekly allowance, john spent 3 / 5 of his allowance at the arcade. the next day he spent one third of his remaining allowance at the toy store, and then spent his last $ 0.75 at the candy store. what is john ’ s weekly allowance?
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[Assistant] $ 2.80

[User]
a, b, c subscribe rs. 50,000 for a business. a subscribes rs. 4000 more than b and b rs. 5000 more than c. out of a total profit of rs. 30,000, a receives :
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[Assistant] s. 12,600

[User]
if the simple interest on a certain amount in at 4 % rate 5 years amounted to rs. 2080 less than the principal. what was the principal?
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[Assistant] 2600


[User]
dick and jane each saved $ 2,000 in 1989. in 1990 dick saved 10 percent more than in 1989, and together he and jane saved a total of $ 4,000. approximately what percent less did jane save in 1990 than in 1989?
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[Assistant] 10 %

[User]
tough and tricky questions : exponents. if 7 ^ ( 3 x - 1 ) * 3 ^ ( 4 y - 3 ) = 49 ^ x * 27 ^ y, then x + y =
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[Assistant] 4

[User]
a candidate got 35 % of the votes polled and he lost to his rival by 2250 votes. how many votes were cast?
Answer the question using a single word or phrase.

[Assistant] 7500

[User]
find the ratio in which rice at rs. 7.20 a kg be mixed with rice at rs. 5.70 a kg to produce a mixture worth rs. 6.30 a kg.
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[Assistant] 2 : 3

[User]
a volume of 11248 l water is in a container of sphere. how many hemisphere of volume 4 l each will be required to transfer all the water into the small hemispheres?
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[Assistant] 2812


[User]
b completes a work in 6 days. a alone can do it in 10 days. if both work together, the work can be completed in how many days?
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[Assistant] 3.33 days

[User]
a man can row upstream at 20 kmph and downstream at 28 kmph, and then find the speed of the man in still water?
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[Assistant] 24

[User]
if x and y are integers such that x ^ 2 = 2 y and xy = 256, then x – y =?
Answer the question using a single word or phrase.

[Assistant] - 24

[User]
if a tire rotates at 400 revolutions per minute when the car is traveling 144 km / h, what is the circumference of the tire?
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[Assistant] 6 meters

[User]
the average of runs of a cricket player of 10 innings was 18. how many runs must he make in his next innings so as to increase his average of runs by 4?
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[Assistant] 62


[User]
if a = 105 and a ^ 3 = 21 * 25 * 15 * b, what is the value of b?
Answer the question using a single word or phrase.

[Assistant] 147

[User]
if the difference of two numbers is 3 and the difference of their square is 39, then the larger number is :
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[Assistant] 8

[User]
the ratio of two numbers is 3 : 4 and their sum is 21. the greater of the two numbers is?
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[Assistant] 12

[User]
working alone at its constant rate, machine a produces x boxes in 10 minutes and working alone at its constant rate, machine b produces 2 x boxes in 5 minutes. how many minutes does it take machines a and b, working simultaneously at their respective constant rates, to produce 6 x boxes?
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[Assistant] 12 minutes

[User]
a light flashes every 15 seconds, how many times will it flash in? of an hour?
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[Assistant] 240


[User]
a train running at the speed of 60 km / hr crosses a pole in 7 seconds. find the length of the train.
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[Assistant] 116.67

[User]
in what time will a train 40 m long cross an electric pole, it its speed be 144 km / hr?
Answer the question using a single word or phrase.

[Assistant] 1.0 sec

[User]
a certain country had a total annual expenditure of $ 1.2 x 10 ^ 12. if the population of the country was 240 million last year, what was the per capita expenditure?
Answer the question using a single word or phrase.

[Assistant] $ 5000

[User]
in a dairy farm, 50 cows eat 50 bags of husk in 50 days. in how many days one cow will eat one bag of husk?
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[Assistant] 50 days

[User]
what is the range of all the roots of | x ^ 2 - 1 | = x?
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[Assistant] 1


[User]
one - third of rahul ’ s savings in national savings certificate is equal to one - half of his savings in public provident fund. if he has rs. 2, 50000 as total savings, how much has he saved in public provident fund?
Answer the question using a single word or phrase.

[Assistant] rs. 100,000

[User]
roja and pooja start moving in the opposite directions from a pole. they are moving at the speeds of 2 km / hr and 3 km / hr respectively. after 4 hours what will be the distance between them?
Answer the question using a single word or phrase.

[Assistant] 20

[User]
the proportion of water to alcohol in solution a is 4 : 1 and the proportion of water to alcohol in solution b is 3 : 1. if an equal amount of each solution is mixed together, what is the concentration of alcohol in the new solution?
Answer the question using a single word or phrase.

[Assistant] 22.5 %

[User]
find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 9 cm and 6 cm?
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[Assistant] 150 cm 2

[User]
how many integers between 0 and 1000 do not contain the integer 1
Answer the question using a single word or phrase.

[Assistant] 728


[User]
working simultaneously and independently at an identical constant rate, 4 machines of a certain type can produce a total of x units of product p in 6 days. how many of these machines, working simultaneously and independently at this constant rate, can produce a total of 3 x units of product p in 6 days?
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[Assistant] 12

[User]
how many factors of 270 are odd numbers greater than 1?
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[Assistant] 9

[User]
a batsman in his 12 th innings makes a score of 65 and thereby increases his average by 2 runs. what is his average after the 12 th innings if he had never been ‘ not out ’?
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[Assistant] 43

[User]
what is the unit digit in 7 ^ 105
Answer the question using a single word or phrase.

[Assistant] 7

[User]
if the number is decreased by 5 and divided by 7 the result is 7. what would be the result if 14 is subtracted and divided by 10?
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[Assistant] 4


[User]
the charge for a single room at hotel p is 25 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] 20 %

[User]
farm tax is levied on the 60 % of the cultivated land. the tax department collected total $ 4000 through the farm tax from the village of mr. willam. mr. willam paid only $ 500 as farm tax. the percentage of total land of mr. willam over the total taxable land of the village is :
Answer the question using a single word or phrase.

[Assistant] 20.83 %

[User]
the s. i. on a certain sum of money for 2 years at 6 % per annum is half the c. i. on rs. 4000 for 2 years at 10 % per annum. the sum placed on s. i. is?
Answer the question using a single word or phrase.

[Assistant] 3500

[User]
the avg weight of a, b & c is 60 kg. if d joins the group, the avg weight of the group becomes 65 kg. if another man e who weights is 3 kg more than d replaces a, then the avgof b, c, d & e becomes 64 kg. what is the weight of a?
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[Assistant] 87

[User]
a reduction of 40 % in the price of bananas would enable a man to obtain 66 more for rs. 40, what is reduced price per dozen?
Answer the question using a single word or phrase.

[Assistant] 2.91


[User]
a car travels uphill at 30 km / hr and downhill at 80 km / hr. it goes 100 km uphill and 50 km downhill. find the average speed of the car?
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[Assistant] 38 kmph

[User]
convert the 8 / 26 m / s into kilometers per hour?
Answer the question using a single word or phrase.

[Assistant] 1.1 kmph.

[User]
jane and thomas are among the 7 people from which a committee of 4 people is to be selected. how many different possible committees of 4 people can be selected from these 7 people if at least one of either jane or thomas is to be selected?
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[Assistant] 30

[User]
jack, jill, and sandy each have one try to make a basket from half court. if their individual probabilities of making the basket are 1 / 6, 1 / 7, and 1 / 8 respectively, what is the probability that jack and jill will make a basket but sandy will miss?
Answer the question using a single word or phrase.

[Assistant] 1 / 48

[User]
you hold some gold in a vault as an investment. over the past year the price of gold increases by 42 %. in order to keep your gold in the vault, you must pay 4 % of the total value of the gold per year. what percentage has the value of your holdings changed by over the past year.
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[Assistant] 36.32 %


[User]
if a # b = ab – b + b ^ 2, then 2 # 3 =
Answer the question using a single word or phrase.

[Assistant] 12

[User]
andy solves problems 70 to 125 inclusive in a math exercise. how many problems does he solve?
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[Assistant] 56

[User]
share rs. 4200 among john, jose & binoy in the ration 2 : 4 : 6. find the amount received by john?
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[Assistant] 1400

[User]
if k is a non - negative integer and 21 ^ k is a divisor of 435,961 then 7 ^ k - k ^ 7 =
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[Assistant] 1

[User]
maxwell leaves his home and walks toward brad's house at the same time that brad leaves his home and runs toward maxwell's house. if the distance between their homes is 60 kilometers, maxwell's walking speed is 4 km / h, and brad's running speed is 6 km / h, what is the distance traveled by brad?
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[Assistant] 36


[User]
the price of rice falls by 20 %. how much rice can be bought now with the money that was sufficient to buy 20 kg of rice previously?
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[Assistant] 25 kg

[User]
a boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream. if the speed of the boat in still water is 10 mph, the speed of the stream is
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[Assistant] 2 mph

[User]
if 2 + 3 = 10 ; 2 + 5 = 27 ; 2 + 7 = 53 then 2 + 11 =?
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[Assistant] 129

[User]
if the sides of a cube are in the ratio 7 : 3. what is the ratio of their diagonals?
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[Assistant] 7 : 3

[User]
the sum of two consecutive integers is 31. find the numbers.
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[Assistant] 15, 16


[User]
the average of 4 consecutive odd numbers is 24. find the largest number
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[Assistant] 27

[User]
what is the smallest integer that is multiple of 8,7 and 20
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[Assistant] 280

[User]
by travelling at 40 kmph, a person reaches his destination on time. he covered two - third the total distance in one - third of the total time. what speed should he maintain for the remaining distance to reach his destination on time?
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[Assistant] 20 kmph

[User]
the present population of a town is 260. population increase rate is 10 % p. a. find the population of town after 1 years?
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[Assistant] 286

[User]
a group of students decided to collect as many paise from each member of group as is the number of members. if the total collection amounts to rs. 3025., the number of the member is the group is :
Answer the question using a single word or phrase.

[Assistant] 55


[User]
in 1996, the property tax of a community is increased by 6 % over the 1995 tax. an additional surcharge of $ 200 is also added for a special project. if the petersons'1996 tax totals $ 2108, find their property tax for the year 1995
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[Assistant] 1800

[User]
in an election, candidate douglas won 64 percent of the total vote in counties x and y. he won 76 percent of the vote in county x. if the ratio of people who voted in county x to county y is 2 : 1, what percent of the vote did candidate douglas win in county y?
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[Assistant] 40 %

[User]
how many seconds will a 900 meter long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr?
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[Assistant] 400

[User]
16 * 16 * 16 * 16 * 16 = 4 ^?
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[Assistant] 10

[User]
fox jeans regularly sell for $ 15 a pair and pony jeans regularly sell for $ 18 a pair. during a sale these regular unit prices are discounted at different rates so that a total of $ 8.82 is saved by purchasing 5 pairs of jeans : 3 pairs of fox jeans and 2 pairs of pony jeans. if the sum of the two discount rates is 22 percent, what is the discount rate on pony jeans?
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[Assistant] 12 %


[User]
when average age of 25 members are 0, how many members greater than 0?
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[Assistant] 24

[User]
the length of the bridge, which a train 130 metres long and travelling at 45 km / hr can cross in 30 seconds, is :
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[Assistant] 245 meters

[User]
sakshi can do a piece of work in 10 days. tanya is 25 % more efficient than sakshi. the number of days taken by tanya to do the same piece of work :
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[Assistant] 8

[User]
there were two candidates in an election. winner candidate received 65 % of votes and won the election by 300 votes. find the number of votes casted to the winning candidate?
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[Assistant] 650

[User]
a grocer purchased a quantity of bananas at 3 pounds for $ 0.50 and sold the entire quantity at 4 pounds for $ 1.00. how many pounds did the grocer purchase if the profit from selling the bananas was $ 6.00?
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[Assistant] 72


[User]
johnny makes $ 2.35 per hour at his work. if he works 5 hours, how much money will he earn?
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[Assistant] $ 11.75

[User]
a and b together can plough a field in 10 hours but by himself a requires 15 hours. how long would b take to plough the same field?
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[Assistant] 30 hours

[User]
the roof of an apartment building is rectangular and its length is 4 times longer than its width. if the area of the roof is 576 feet squared, what is the difference between the length and the width of the roof?
Answer the question using a single word or phrase.

[Assistant] 36.

[User]
if two girls starting from same point, walking in the opposite directions with 7 km / hr and 3 km / hr as average speeds respectively. then the distance between them after 12 hours is?
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[Assistant] 120

[User]
two persons a and b can complete a piece of work in 30 days and 45 days respectively. if they work together, what part of the work will be completed in 7 days?
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[Assistant] 7 / 18


[User]
how many liters of pure alcohol must be added to a 100 - liter solution that is 20 percent alcohol in order to produce a solution that is 32 percent alcohol?
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[Assistant] 300 / 17

[User]
24 men working 8 hours a day can finish a work in 10 days. working at the rate of 10 hours a day, the number of men required to finish the same work in 6 days is
Answer the question using a single word or phrase.

[Assistant] 32

[User]
n and m are each 3 - digit integers. each of the numbers 3,4, 5, 6, 7, and 8 is a digit of either n or m. what is the smallest possible positive difference between n and m?
Answer the question using a single word or phrase.

[Assistant] 49

[User]
a jogger running at 9 km / hr along side a railway track is 190 m ahead of the engine of a 120 m long train running at 45 km / hr in the same direction. in how much time will the train pass the jogger?
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[Assistant] 31

[User]
a fruit seller sells mangoes at the rate of rs. 11 per kg and thereby loses 10 %. at what price per kg, he should have sold them to make a profit of 10 %?
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[Assistant] rs. 13.44


[User]
when 1 / 20 % of 6,000 is subtracted from 1 / 10 of 6,000, the difference is
Answer the question using a single word or phrase.

[Assistant] 598

[User]
a contractor is engaged for 30 days on the condition thathe receives rs. 25 for each day he works & is fined rs. 7.50 for each day is absent. he gets rs. 620 in all. for how many days was he absent?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
in 1982 and 1983, company b ’ s operating expenses were $ 13.0 million and $ 15.0 million, respectively, and its revenues were $ 15.6 million and $ 18.8 million, respectively. what was the percent increase in company b ’ s profit ( revenues minus operating expenses ) from 1982 to 1983?
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[Assistant] 46 1 / 6 %

[User]
the simple interest and the true discount on a certain sum for a given time and at a given rate are rs. 85 and rs. 80 respectively. the sum is :
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[Assistant] rs. 1360

[User]
a business executive and his client are charging their dinner tab on the executive's expense account. the company will only allow them to spend a total of 75 $ for the meal. assuming that they will pay 7 % in sales tax for the meal and leave a 15 % tip, what is the most their food can cost?
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[Assistant] 60.95 $


[User]
the age of father 5 years ago was 4 times the age of his son. 5 years hence, father's age will be twice that of his son. the ratio of their present ages is :
Answer the question using a single word or phrase.

[Assistant] 5 : 2

[User]
in a urban village of india named ` ` owlna ' ', 70 % people have refrigerator, 75 % people have television, 80 % people got computers and 80 % got air - conditionor. how many people ( minimum ) got all these luxury.
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[Assistant] 10 %

[User]
the population of a town is 20000. it decreases annually at the rate of 20 % p. a. what will be its population after 2 years?
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[Assistant] 12800

[User]
two spherical balls lie on the ground touching. if one of the balls has a radius of 6 cm, and the point of contact is 8 cm above the ground, what is the radius of the other ball?
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[Assistant] 12 cm

[User]
the population of a village is 15540. it increases annually at the rate of 28 % p. a. what will be its population after 2 years?
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[Assistant] 25460


[User]
if x / 4 + 24 / x = 5, what are the values of 2 x - 7?
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[Assistant] 17 and 9

[User]
which greatest possible length can be used to measure exactly 12 meter 15 cm, 10 meter 15 cm and 10 meter 65 cm
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[Assistant] 5 cm

[User]
the sum of money will be double itself in 10 years and simple interest find rate of interest?
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[Assistant] 10 %

[User]
a runner runs the 40 miles from marathon to athens at a constant speed. halfway through the run she injures her foot, and continues to run at half her previous speed. if the second half takes her 11 hours longer than the first half, how many hours did it take the runner to run the second half?
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[Assistant] 22

[User]
a man performs 1 / 2 of the total journey by rail, 1 / 3 by bus and the remaining 6 km on foot. his total journey is
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[Assistant] 36 km


[User]
the cost price of a radio is rs. 4500 and it was sold for rs. 3200, find the loss %?
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[Assistant] 28.9 %

[User]
the ratio of three numbers is 4 : 2 : 5 and their sum is 121. the second number of the three numbers is?
Answer the question using a single word or phrase.

[Assistant] 22

[User]
a gardener grows cabbages in her garden that is in the shape of a square. each cabbage takes 1 square feet of area in her garden. this year, she has increased her output by 197 cabbages as compared to last year. the shape of the area used for growing the cabbages has remained a square in both these years. how many cabbages did she produce this year?
Answer the question using a single word or phrase.

[Assistant] 9801

[User]
a special municipal payroll tax charges not tax on a payroll less than $ 200000 and only 0.2 % on a company ’ s payroll above $ 200000. if belfried industries paid $ 200 in this special municipal payroll tax, then they must have had a payroll of?
Answer the question using a single word or phrase.

[Assistant] $ 300,000

[User]
when positive integer n is divided by positive integer p, the quotient is 20, with a remainder of 7. when n is divided by ( p + 2 ), the quotient is 15 and the remainder is 2. what is the value of n?
Answer the question using a single word or phrase.

[Assistant] 107


[User]
a man bought an article and sold it at a gain of 5 %. if he had bought it at 5 % less and sold it for re 4 less, he would have made a profit of 10 %. the c. p. of the article was
Answer the question using a single word or phrase.

[Assistant] 800

[User]
in a group of people, if 30 people were made to stand in each column, 16 columns could be formed. if 40 people were made to stand in a column, how many columns could be formed?
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[Assistant] 12

[User]
find large number from below question the difference of two numbers is 1200. on dividing the larger number by the smaller, we get 5 as quotient and the 4 as remainder
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[Assistant] 1499

[User]
the area of a rectangular field is equal to 50 square meters. its perimeter is equal to 30 meters. find the width of this rectangle.
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[Assistant] 5

[User]
a person buys an article at rs. 500. at what price should he sell the article so as to make a profit of 35 %?
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[Assistant] 675


[User]
jerome anticipated that the webweb. com stock price would fall and sold all his webweb. com stocks for $ 5 per stock. he paid $ 10,000 tax on the revenue. a week later, jerome became convinced that the webweb. com stock price would rise, and he used the money that he had gotten from selling the webweb. com stocks to purchase them again, this time at $ 6 per stock. if jerome ended up having 3000 webweb. com stocks fewer than the number he had before selling them, how many webweb. com stocks did he have originally?
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[Assistant] 13,000

[User]
65 boys can complete a work in 30 days. how many men need to complete twice the work in 20 days
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[Assistant] 195

[User]
in a recent election, james received 0.5 percent of the 2000 votes cast. to win the election, a candidate needed to receive more than 50 percent of the vote. how many additional votes would james have needed to win the election?
Answer the question using a single word or phrase.

[Assistant] 991

[User]
the monthly incomes of a and b are in the ratio 5 : 2. b's monthly income is 12 % more than c's monthly income. if c's monthly income is rs. 12000, then find the annual income of a?
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[Assistant] rs. 403200

[User]
a shopkeeper sold an article offering a discount of 5 % and earned a profit of 42.5 %. what would have been the percentage of profit earned if no discount had been offered?
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[Assistant] 50


[User]
pants, shorts and shirts in a dresser are in the ratio of 7 : 7 : 10. if there are 14 pants, the number of shirts in the dresser is :
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[Assistant] 20

[User]
if x / ( 11 p ) is an even prime number, where x is a positive integer and p is a prime number, what is the least value of x?
Answer the question using a single word or phrase.

[Assistant] 44

[User]
list i : { y, 2, 4, 7, 10, 11 } list ii : { 3, 3, 4, 6, 7, 10 } if the median r of list i is equal to the sum of the median of list ii and the mode of list ii, then y equals
Answer the question using a single word or phrase.

[Assistant] r = 9

[User]
a computer manufacturer produces a certain electronic component at a cost of $ 80 per component. shipping costs for delivering the components are $ 4 per unit. further, the manufacturer has costs of $ 16,500 a month related to the electronic component regardless of how many it produces. if the manufacturer produces and sells 150 components a month, what is the lowest price it can sell them for such that the costs do n't exceed the revenues?
Answer the question using a single word or phrase.

[Assistant] $ 194

[User]
at a special sale, 9 tickets can be purchased for the price of 6 tickets. if 9 tickets are purchased at the sale, the amount saved will be what percent of the original price of the 9 tickets?
Answer the question using a single word or phrase.

[Assistant] 33.3 %


[User]
how many gallons of milk that is 10 percent butter - fat must be added to 8 gallons of milk that is 35 percent butterfat to obtain milk that is 20 percent butterfat?
Answer the question using a single word or phrase.

[Assistant] 12

[User]
a students was asked to find the arithmetic mean of the numbers 3, 11, 7, 9, 15, 13, 8, 19, 17, 21, 14 and x. he found the mean to be 12. what should be the number in place of x?
Answer the question using a single word or phrase.

[Assistant] 7

[User]
a chemical supply company has 60 liters of a 40 % hno 3 solution. how many liters of pure undiluted hno 3 must the chemists add so that the resultant solution is a 50 % solution?
Answer the question using a single word or phrase.

[Assistant] 12

[User]
the manager at a health foods store mixes a unique superfruit juice cocktail that costs $ 1399.45 per litre to make. the cocktail includes mixed fruit juice and a ç ai berry juice, which cost $ 262.85 per litre and $ 3104.35 per litre, respectively. the manager has already opened 36 litres of the mixed fruit juice. how many litres of the a ç ai berry juice does he need to add?
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[Assistant] 24 litres

[User]
a man spends 35 % of his income on food, 25 % on children education and 80 % of the remaining on house rent. what percent of his income he is left with?
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[Assistant] 8 %


[User]
a factory has three types of machines, each of which works at its own constant rate. if 7 machine as and 11 machine bs can produce 261 widgets per hour, and if 8 machine as and 22 machine cs can produce 600 widgets per hour, how many widgets could one machine a, one machine b, and one machine c produce in one 8 - hour day?
Answer the question using a single word or phrase.

[Assistant] 408

[User]
a container contains 20 liters of milk, from this container 2 liters of milk was taken out and replaced by water. this process was repeated further 2 times. how much milk is now contained by the container?
Answer the question using a single word or phrase.

[Assistant] 14.58 liters

[User]
the length of a rectangle is two - fifths of the radius of a circle. the radius of the circle is equal to the side of the square, whose area is 2025 sq. units. what is the area ( in sq. units ) of the rectangle if the rectangle if the breadth is 10 units?
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[Assistant] 180

[User]
a train of length 250 m crosses a bridge of length 150 m in 25 seconds. what is the speed of train?
Answer the question using a single word or phrase.

[Assistant] 57.6

[User]
indu gave bindu rs. 500 on compound interest for 2 years at 4 % per annum. how much loss would indu has suffered had she given it to bindu for 2 years at 4 % per annum simple interest?
Answer the question using a single word or phrase.

[Assistant] 0.8


[User]
jane makes toy bears. when she works with an assistant, she makes 80 percent more bears per week and works 10 percent fewer hours each week. having an assistant increases jane ’ s output of toy bears per hour by what percent r?
Answer the question using a single word or phrase.

[Assistant] 100 %

[User]
the cost to park a car in a certain parking garage is $ 15.00 for up to 2 hours of parking and $ 1.75 for each hour in excess of 2 hours. what is the average ( arithmetic mean ) cost per hour to park a car in the parking garage for 9 hours?
Answer the question using a single word or phrase.

[Assistant] $ 3.03

[User]
cereal a is 10 % sugar by weight, whereas healthier but less delicious cereal b is 2 % sugar by weight. to make a delicious and healthy mixture that is 4 % sugar, what should be the ratio of cereal a to cereal b, by weight?
Answer the question using a single word or phrase.

[Assistant] 1 : 3

[User]
a trader sells 75 meters of cloth for rs. 4950 at the profit of rs. 15 per metre of cloth. what is the cost price of one metre of cloth?
Answer the question using a single word or phrase.

[Assistant] 51

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

[Assistant] 586413


[User]
the contents of a certain box consist of 14 apples and 12 oranges. how many oranges must be removed from the box so that 70 percent of the pieces of fruit in the box will be apples?
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[Assistant] 6

[User]
he total marks obtained by a student in physics, chemistry and mathematics is 110 more than the marks obtained by him in physics. what is the average mark obtained by him in chemistry and mathematics?
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[Assistant] 55

[User]
the sale price sarees listed for rs. 400 after successive discount is 10 % and 5 % is?
Answer the question using a single word or phrase.

[Assistant] 342

[User]
the average age of 31 students in a group is 16 years. when teacher's age is included to it, the average increases by one. what is the teacher's age in years?
Answer the question using a single word or phrase.

[Assistant] 48

[User]
venki takes a trip and drives 5 hours from town x to town z at a rate of 80 miles per hour. on her way back, venki drives 45 miles per hour and stops in town y which is midway between town x and town z. how many hours does it take venki to drive from town z to town y?
Answer the question using a single word or phrase.

[Assistant] 4.44


[User]
log root ( 8 ) / log 8 is equal to
Answer the question using a single word or phrase.

[Assistant] 1 / 2

[User]
one - third less than 40 % of 180 is equal to :
Answer the question using a single word or phrase.

[Assistant] 48

[User]
alan buys 4 tvs, a 26 inch, a 28 inch, a 30 inch, and a 32 inch, for his new house. each tv costs $ 200 more than the size below it. alan spends a total of $ 4,600. how much would he have spent if he had bought only the 28 inch and 30 inch tvs?
Answer the question using a single word or phrase.

[Assistant] 2,300

[User]
a can finish a piece of work in 4 days. b can do it in 12 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]
when positive integer x is divided by 9, the quotient is y and the remainder is 4. when 2 x is divided by 7, the quotient is 2 y and the remainder is 1. what is the value of 5 y – x?
Answer the question using a single word or phrase.

[Assistant] 3


[User]
a school has 4 maths 3 physics and 3 chemistry teachers each teacher can teach 2 subjects max what is he minimum number of teachers required
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[Assistant] 5

[User]
two stations a and b are 245 km apart on a straight line. one train starts from a at 7 a. m. and travels towards b at 20 kmph. another train starts from b at 8 a. m. and travels towards a at a speed of 25 kmph. at what time will they meet?
Answer the question using a single word or phrase.

[Assistant] 1

[User]
for any integer p, * p is equal to the product of all the integers between 1 and p, inclusive. how many prime numbers are there between * 6 + 3 and * 6 + 6, inclusive?
Answer the question using a single word or phrase.

[User]
the tax on a commodity is diminished by 35 % but its consumption is increased by 15 %. find the decrease percent in the revenue derived from it?
Answer the question using a single word or phrase.

[Assistant] 25.25 %

[User]
a university cafeteria offers 4 flavors of pizza - pepperoni, chicken, hawaiian and vegetarian. if a customer has an option ( but not the obligation ) to add extra cheese, mushrooms or both to any kind of pizza, how many different pizza varieties are available?
Answer the question using a single word or phrase.

[Assistant] 16


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

[Assistant] 10080

[User]
a tank can be filled by pipe a in 5 hours and by pipe b in 8 hours, each pump working on its own. when the tank is full and a drainage hole is open, the water is drained in 20 hours. if initially the tank was empty and someone started the two pumps together but left the drainage hole open, how long does it take for the tank to be filled?
Answer the question using a single word or phrase.

[Assistant] 3.6 hours

[User]
a and b invests rs. 3000 and rs. 5000 respectively in a business. if a doubles his capital after 6 months. in what ratio should a and b divide that year's profit?
Answer the question using a single word or phrase.

[Assistant] 9 : 10

[User]
express a speed of 720 kmph in meters per second?
Answer the question using a single word or phrase.

[Assistant] 200 mps

[User]
84 / 12 / 0.8 =?
Answer the question using a single word or phrase.

[Assistant] 8.75


[User]
eddy and freddy start simultaneously from city a and they travel to city b and city c respectively. eddy takes 3 hours and freddy takes 4 hours to complete the journey. if the distance between city a and city b is 540 kms and city a and city c is 300 kms. what is the ratio of their average speed of travel? ( eddy : freddy )
Answer the question using a single word or phrase.

[Assistant] 12 / 5

[User]
in the first 10 overs of a cricket game, the run rate was only 3.4. what should be the run rate in the remaining 40 overs to reach the target of 282 runs?
Answer the question using a single word or phrase.

[Assistant] 6.2

[User]
the average weight of a group of boys is 20 kg. after a boy of weight 32 kg joins the group, the average weight of the group goes up by 1 kg. find the number of boys in the group originally?
Answer the question using a single word or phrase.

[Assistant] 11

[User]
a football team lost 5 yards and then gained 11. what is the team's progress?
Answer the question using a single word or phrase.

[Assistant] 6

[User]
two trains of equal lengths take 10 sec and 15 sec respectively to cross a telegraph post. if the length of each train be 160 m, in what time will they cross other travelling in opposite direction?
Answer the question using a single word or phrase.

[Assistant] 16 sec


[User]
last year a worker saved 10 % of her annual salary. this year, she made 10 % more money than last year and she saved 12 % of her salary. the amount she saved this year was what percent of the amount she saved last year?
Answer the question using a single word or phrase.

[Assistant] 132 %

[User]
what is the median of a set of consecutive integers if the sum of nth number from the beginning and nth number from the end is 120?
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[Assistant] 60

[User]
how many distinct integer values of n satisfy the inequality | | n - 3 | + 4 | ≤ 14?
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[Assistant] 12

[User]
a sum of money at simple interest amounts to 815 in 3 years and to 854 in 4 years. the sum is :
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[Assistant] 698

[User]
a woman spends 15 % of her income in house rent, 15 % of the rest on his children ’ s education, 10 % of the rest miscellaneous causes and 15 % in medical expenses. if she now posses rs. 5548 then her income is?
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[Assistant] 10038


[User]
a student got twice as many sums wrong as he got right. if he attempted 48 sums in all, how many did he solve correctly?
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[Assistant] 16

[User]
a worker is paid a regular rate of rs. 20 for completing a survey. the worker completes 50 surveys per week. for any survey involving the use of her cellphone, she is paid at a rate of that is 10 % higher than her regular rate. if she completed 35 surveys involving the use of her cellphone, how much did she get that week?
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[Assistant] 1070

[User]
reeya obtained 50, 60, 70, 80 and 80 out of 100 in different subjects, what will be the average
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[Assistant] 68

[User]
5 goats ’ s and 10 hens are brought for rs. 2500. if the average price of a hen be rs. 50. what is the average price of a goat.
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[Assistant] 400

[User]
kareena, saif, and a puppy start walking down a road. they start at the same time, from the same point, in the same direction. the saif walks at 5 miles / hour kareena at 6 miles / hour. the puppy runs from saif to kareena and back again with a constant speed of 10 miles / hour. the puppy does not slow down on the turn. how far does the puppy travel in 1 hour?
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[Assistant] 10 miles


[User]
if m is a positive integer and m ^ 2 is divisible by 39, then the largest positive integer that must divide m is?
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[Assistant] 13

[User]
a man can row 6 kmph in still water. when the river is running at 1.2 kmph, it takes him 1 hour to row to a place and back. what is the total distance traveled by the man?
Answer the question using a single word or phrase.

[Assistant] 5.76 kms

[User]
for any integer k greater than 1, the symbol k * denotes the product of all integers between 1 and k, inclusive. if k * is a multiple of 315 what is the least possible value of k?
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[Assistant] 7

[User]
find the value of a from ( 15 ) ^ 2 x 8 ^ 3 ã · 256 = a.
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[Assistant] 450

[User]
the sum of two prime numbers is 85. what is the product of these two prime numbers?
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[Assistant] 166


[User]
a and b can do a work in 15 days, b and c in 30 days, c and a in 45 days. if a, b and c work together, they will complete the work in?
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[Assistant] 16 days

[User]
a woman invested $ 1,000, part at 5 % and the rest at 6 %. her total investment with interest at the end of the year was $ 1,053. how much did she invest at 5 %?
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[Assistant] $ 700

[User]
6! / ( 6 - 3 )! =?
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[Assistant] 120

[User]
x is a positive integer less than 500. when x is divided by 7, the remainder is 1 ; when x is divided by 3, the remainder is 2. how many x are there?
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[Assistant] 24

[User]
the expression x # y denotes the product of the consecutive multiples of 3 between x and y, inclusive. what is the sum of the exponents in the prime factorization of 21 # 27?
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[Assistant] 9


[User]
the average age of the boys in a class is 16 years and that of the girls is 15 years. the average age for the whole class is
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[Assistant] data inadequate

[User]
the length of the bridge, which a train 170 meters long and travelling at 45 km / hr can cross in 30 seconds, is :
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[Assistant] 205

[User]
a collection of books went on sale, and 2 / 3 of them were sold for $ 3 each. if none of the 36 remaining books were sold, what was the total amount received for the books that were sold?
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[Assistant] $ 216

[User]
the captain of a cricket team of 11 members is 26 years old and the wicket keeper is 9 years older. if the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. what is the average age of the team?
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[Assistant] 26 years

[User]
if ( 2 ^ 12 ) ( 25 ^ s ) = 5 ( 10 ^ m ) what is the value of m?
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[Assistant] 12


[User]
the radius of a wheel is 22.4 cm. what is the distance covered by the wheel in making 125 resolutions?
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[Assistant] 176 m

[User]
if leo gains 10 pounds, he will weigh 50 % more than his sister kendra. currently their combined weight is 160 pounds. what is leo's current weight?
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[Assistant] 92

[User]
if 40 % of a certain number is 160, then what is 60 % of that number?
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[Assistant] 240

[User]
if 22 percent of the students at a certain school went to a camping trip and took more than $ 100, and 75 percent of the students who went to the camping trip did not take more than $ 100, what percentage of the students at the school went to the camping trip?
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[Assistant] 88

[User]
if a : b : c = 3 : 4 : 7, then the ratio ( a + b + c ) : c is equal to
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[Assistant] 2 : 1


[User]
a certain library assesses fines for overdue books as follows. on the first day that a book is overdue, the total fine is $ 0.05. for each additional day that the book is overdue, the total fine is either increased by $ 0.30 or doubled, whichever results in the lesser amount. what is the total for a book on the fifth day it is overdue?
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[Assistant] $ 0.70

[User]
linda spent 3 / 4 of her savings on furniture and the rest on a tv. if the tv cost her $ 230, what were her original savings?
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[Assistant] $ 920

[User]
45 x? = 10 % of 900
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[Assistant] 2

[User]
sales price is $ 44, gross profit is 120 % of cost, what is the value of gross profit?
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[Assistant] 24

[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 30 % ryegrass, what percent of the weight of the mixture is x?
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[Assistant] 33.33 %


[User]
a circular road runs around a circular garden. if the sum of the circumferences of the inner and outer circles is 88 metres and the radius of the inner circle is one - third of the outer circle, then the width of the road is :
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[Assistant] 7 metres

[User]
in a multiple choice test comprising 5 questions, each with 4 choices, what is the probability of a student getting 3 or more questions correct? each question has only one correct answer and the student is equally likely to choose any of the 4 choices.
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[Assistant] 53 / 512

[User]
p and q together can do a work in 6 days. if p alone can do it in 15 days. in how many days can q alone do it?
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[Assistant] 10

[User]
in a certain animal shelter, the ratio of the number of catsto the number of dogs is 15 to 7. if 12 additional dogs were to be taken in by the shelter, the ratio of the number of cats to the number of dogs would be 15 to 11. how many cats are in the shelter?
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[Assistant] 45

[User]
the ratio between the sale price and the cost price of an article is 9 : 5. what is the ratio between the profit and the cost price of that article?
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[Assistant] 4 : 5


[User]
a reduction of 20 % in the price of salt enables a lady to obtain 10 kgs more for rs. 300, find the original price per kg?
Answer the question using a single word or phrase.

[Assistant] s. 7.5

[User]
8 is 6 % of a, and 6 is 8 % of b. c equals b / a. what is the value of c?
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[Assistant] 9 / 16

[User]
of the 65 house in a development, 50 have a two - car garage, 40 have an in - the - ground swimming pool, and 35 have both a two - car garage and an in - the - ground swimming pool. how many houses in the development have neither a two - car garage nor an in - the - ground swimming pool?
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[Assistant] 10

[User]
exactly 3 / 8 of the people in the room are under the age of 21, and exactly 5 / 12 of the people in the room are over the age of 65. if the total number of the people in the room is greater than 50 and less than 100, how many people in the room are under the age of 21?
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[Assistant] 36

[User]
we have boxes colored either red or blue. in each blue box there is a fixed number of blueberries. in each red box there is a fixed number of strawberries. if we dispose of one blue box for one additional red box, the total number of berries would increase by 10, and the difference between the total number of strawberries and the total number of blueberries would increase by 50. each blue box contains how many blueberries?
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[Assistant] 20


[User]
if x / y = 3 and ( 2 a - x ) / ( 3 b - y ) = 3, then the value of a / b is?
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[Assistant] 9 / 2

[User]
if z is a multiple of 9702, what is the remainder when z ^ 2 is divided by 4?
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[Assistant] 0

[User]
a man buys a cycle for rs. 1400 and sells it at a loss of 15 %. what is the selling price of the cycle?
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[Assistant] rs. 1190

[User]
a and b can finish a work in 12 days while a alone can do the same work in 24 days. in how many days b alone will complete the work?
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[Assistant] 24 days

[User]
when n is divided by 5 the remainder is 3. what is the remainder when ( n + 2 ) ^ 2 is divided by 5?
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[Assistant] 0


[User]
if an average hard drive had a capacity of 0.3 tb in 2000, and average hard drive capacities double every 5 years, what will be the average hard drive capacity in 2050?
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[Assistant] 3072

[User]
the radius of a wheel is 22.4 cm. what is the distance covered by the wheel in making 250 resolutions?
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[Assistant] 352 m

[User]
if grapes are 93 % water and raisins are 16 % water, then how many kilograms did a quantity of raisins, which currently weighs 8 kilograms, weigh when all the raisins were grapes? ( assume that the only difference between their raisin - weight and their grape - weight is water that evaporated during their transformation. )
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[Assistant] 96

[User]
find the slope of the line perpendicular to the line y = x - 7
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[Assistant] - 1

[User]
set a consists of all the prime numbers between 10 and 25. what is the range of set a?
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[Assistant] 12


[User]
the h. c. f. of two numbers is 23 and the other two factors of their l. c. m. are 13 and 14. the larger of the two numbers is :
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[Assistant] 322

[User]
a and b undertake to do a piece of work for rs. 600. a alone can do it in 6 days while b alone can do it in 8 days. with the help of c, they finish it in 3 days.! find the share of b.
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[Assistant] 225

[User]
the radius of a wheel is 22.4 cm. what is the distance covered by the wheel in making 500 resolutions
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[Assistant] 704

[User]
a 220 m long train running at the speed of 120 km / hr crosses another train running in opposite direction at the speed of 80 km / hr in 9 sec. what is the length of the other train?
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[Assistant] 280

[User]
the sum of the first 50 positive even integers is 2550. what is the sum of the even integers from 402 to 500 inclusive?
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[Assistant] 22,550


[User]
we run a business that rents out canoes and kayaks. a canoe rental costs $ 9 per day, and a kayak rental costs $ 12 dollars per day. one day, our business rents out 4 canoes for every 3 kayaks and receives a total of $ 432 in revenue. how many more canoes than kayaks were rented out?
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[Assistant] 6

[User]
ramu bought an old car for rs. 48000. he spent rs. 14000 on repairs and sold it for rs. 72900. what is his profit percent?
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[Assistant] 17.5 %

[User]
rs. 2600 is divided into two parts such that if one part be put out at 5 % simple interest and the other at 6 %, the yearly annual income may be rs. 140. how much was lent at 5 %?
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[Assistant] 1600

[User]
a bag contains 6 white marbles and 6 black marbles. if each of 6 girls and 6 boys randomly selects and keeps a marble, what is the probability that all of the girls select the same colored marble?
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[Assistant] 1 / 462

[User]
the average weight of 7 person's increases by 3.5 kg when a new person comes in place of one of them weighing 75 kg. what might be the weight of the new person?
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[Assistant] 99.5 kg


[User]
in a group of people, if 30 people were made to stand in each column, 16 columns could be formed. if 32 people were made to stand in a column, how many columns could be formed?
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[Assistant] 15

[User]
what least number must be subtracted from 427398 so that remaining no. is divisible by 10
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[Assistant] 8

[User]
the average age of applicants for a new job is 10, with a standard deviation of 8. the hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age. assuming that all applicants'ages are integers and that the endpoints of the range are included, what is the maximum number of different ages of the applicants?
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[Assistant] 17

[User]
ajay can ride 50 km in 1 hour. in how many hours he can ride 900 km?
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[Assistant] 18 hrs

[User]
a and b invests rs. 6000 and rs. 12000 in a business. after 4 months, a withdraws half of his capital and 2 months later, b withdraws one - third of his capital. in what ratio should they share the profits at the end of the year?
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[Assistant] 8 : 21


[User]
tim came second in math. when his mother asked him how much he had scored, he answered that he got the sum of the first 7 even numbers. his mother immediately worked out the answer. how much had he scored in math?
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[Assistant] 56

[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 80 metres?
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[Assistant] 16 seconds

[User]
a certain clock marks every hour by striking a number of times equal to the hour, and the time required for a stroke is exactly equal to the time interval between strokes. at 6 : 00 the time lapse between the beginning of the first stroke and the end of the last stroke is 44 seconds. at 12 : 00, how many seconds elapse between the beginning of the first stroke and the end of the last stroke?
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[Assistant] c. 92

[User]
each week, harry is paid x dollars per hour for the first 21 hours and 1.5 x dollars for each additional hour worked that week. each week, james is paid x dollars per per hour for the first 40 hours and 2 x dollars for each additional hour worked that week. last week james worked a total of 41 hours if harry and james were paid the same amount last week, how many hours did harry work last week?
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[Assistant] 35

[User]
the volume of a cube is 729 cc. find its surface.
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[Assistant] 486


[User]
a bag contains 4 white marbles and 4 black marbles. if each of 4 girls and 4 boys randomly selects and keeps a marble, what is the probability that all of the girls select the same colored marble?
Answer the question using a single word or phrase.

[Assistant] 1 / 35

[User]
a can knit a pair of socks in 3 days. b can knit the same thing in 6 days. if they are knitting together, in how many days will they knit two pairs of socks?
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[Assistant] 4 days

[User]
the difference between c. i. and s. i. on an amount of $ 20,000 for 2 years is $ 72. what is the rate of interest per annum?
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[Assistant] 6 %

[User]
running at their respective constant rates, machine x takes 6 days longer to produce w widgets than machine y. at these rates, if the two machines together produce 5 / 4 w widgets in 3 days, how many days would it take machine x alone to produce 2 w widgets?
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[Assistant] 8

[User]
find the ones digit of 73 ^ 353
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[Assistant] 3


[User]
if 2 x + y = 26 and x + 2 y = 10, then ( x + y ) / 3 =
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[Assistant] 4

[User]
find the expenditure on digging a well 14 m deep and of 3 m diameter at rs. 16 per cubic meter?
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[Assistant] 1584

[User]
alok ordered 16 chapatis, 5 plates of rice, 7 plates of mixed vegetable and 6 ice - cream cups. the cost of each chapati is rs. 6, that of each plate of rice is rs. 45 and that of mixed vegetable is rs. 70. the amount that alok paid the cashier was rs. 1015. find the cost of each ice - cream cup?
Answer the question using a single word or phrase.

[Assistant] 34

[User]
a, b, c subscribe rs. 50000 for a business, a subscribes rs. 4000 more than b and b rs. 5000 more thanc. out of a total profit of rs. 35000, a receives :
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[Assistant] 14700

[User]
a certain car's price decreased by 2.5 % ( from the original price ) each year from 1996 to 2002, during that time the owner of the car invested in a new carburetor and a new audio system for the car, which increased car's price by $ 2,000. if the price of the car in 1996 was $ 22,000, what is the car's price in 2002?
Answer the question using a single word or phrase.

[Assistant] $ 20,700


[User]
a, b and c can do a piece of work in 24 days, 30 days and 40 days respectively. they began the work together but c left 6 days before the completion of the work. in how many days was the work completed?
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[Assistant] 11.5 days

[User]
linda spent 3 / 4 of her savings on furniture and the rest on a tv. if the tv cost her $ 300, what were her original savings?
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[Assistant] $ 1200

[User]
walking 7 / 6 of his usual rate, a boy reaches his school 6 min early. find his usual time to reach the school?
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[Assistant] 42

[User]
a jogger running at 9 kmph along side a railway track is 230 metres ahead of the engine of a 120 metre long train running at 45 kmph in the same direction. in how much time will the train pass the jogger?
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[Assistant] 35 sec

[User]
a train covers a distance of 36 km in 12 min. if it takes 10 sec to pass a telegraph post, then the length of the train is?
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[Assistant] 500 m


[User]
the length of a rectangle is two - fifths of the radius of a circle. the radius of the circle is equal to the side of the square, whose area is 1225 sq. units. what is the area ( in sq. units ) of the rectangle if the rectangle if the breadth is 12 units?
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[Assistant] 168 sq. units

[User]
a pineapple costs rs 9 each and a watermelon costs rs. 6 each. if i spend rs 51 on total what is the number of pineapple i purchased?
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[Assistant] 5

[User]
a & b started a partnership business. a's investment was thrice the investment of b and the period of his investment was two times the period of investments of b. if b received rs 4000 as profit, what is their total profit?
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[Assistant] 28000

[User]
ratio between rahul and deepak is 4 : 3, after 6 years rahul age will be 26 years. what is deepak present age?
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[Assistant] 15

[User]
a canoe has two oars, left and right. each oar either works or breaks. the failure or non - failure of each oar is independent of the failure or non - failure of the other. you can still row the canoe with one oar. the probability that the left oar works is 3 / 5. the probability that the right oar works is also 3 / 5. what is the probability j that you can still row the canoe?
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[Assistant] 21 / 25


[User]
how many multiples of 7 are there between 14 and 343, exclusive?
Answer the question using a single word or phrase.

[Assistant] 46

[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 5 kmph, what time will he take to cover 60 metres?
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[Assistant] 10.8 seconds

[User]
find the cube root of 185193.
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[Assistant] 57

[User]
david and lewis leave chennai for hyderabad simultaneously at 8 p. m in the night driving in two cars at speeds of 50 mph and 70 mph respectively. as soon as lewis reaches hyderabad he returns back to chennai along the same route and meets david on the way back. if the distance between the two cities is 350 miles, how far from chennai did david and lewis meet?
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[Assistant] 250 miles

[User]
divide $ 600 among a, b in the ratio 1 : 2. how many $ that a get?
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[Assistant] $ 600


[User]
how many three digit numbers w are divisible by 78 or 91?
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[Assistant] 19

[User]
cereal a is 10 % sugar by weight, whereas healthier but less delicious cereal b is 4 % sugar by weight. to make a delicious and healthy mixture that is 5 % sugar, what should be the ratio of cereal a to cereal b, by weight?
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[Assistant] 1 : 5

[User]
what is the hcf of 2 / 3, 4 / 9 and 6 / 18
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[Assistant] 1 / 9

[User]
the mean proportional between 234 and 104 is
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[Assistant] 156

[User]
a man sells an article at a profit of 25 %. if he had bought it at 20 % less and sold it for rs. 6.30 less, he would have gained 30 %. find the cost of the article.
Answer the question using a single word or phrase.

[Assistant] 30


[User]
a bus starts from city x. the number of women in the bus is half of the number of men. in city y, 16 men leave the bus and 8 women enter. now, number of men and women is equal. in the beginning, how many passengers entered the bus?
Answer the question using a single word or phrase.

[Assistant] 72

[User]
at tea factory, each employee working the second shift produced 2 / 3 as many widgets as each employee working the first shift. if the first shift has 3 / 4 as many employees, what fraction of the total widgets did the second shift produce?
Answer the question using a single word or phrase.

[Assistant] 8 / 17

[User]
there are two concentric circles with radii 6 and 4. if the radius of the outer circle is increased by 50 % and the radius of the inner circle decreased by 25 %, by what percent does the area between the circles increase?
Answer the question using a single word or phrase.

[Assistant] 260

[User]
john works at a resort from the beginning of march to the end of september. during the month of august this past year, he made 6 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] 1 / 2

[User]
a hat company ships its hats, individually wrapped, in 8 - inch by 10 - inch by 12 - inch boxes. each hat is valued at $ 7.50. if the company ’ s latest order required a truck with at least 192,000 cubic inches of storage space in which to ship the hats in their boxes, what was the minimum value of the order?
Answer the question using a single word or phrase.

[Assistant] $ 1,500


[User]
x does a work in 15 days. y does the same work in 45 days. in how many days they together will do the same work?
Answer the question using a single word or phrase.

[Assistant] 11.25

[User]
in a certain state, the ratio of registered republicans to registered democrats is 3 to 2, and every registered voter is either a republican or a democrat. if 75 percent of the republicans and 15 percent of the democrats are expected to vote for candidate x, and everyone else is expected to vote for candidate y, by what percent is candidate x expected to win the election?
Answer the question using a single word or phrase.

[Assistant] 2 %

[User]
the speeds of three asteroids were compared. asteroids x - 13 and y - 14 were observed for identical durations, while asteroid z - 15 was observed for 2 seconds longer. during its period of observation, asteroid y - 14 traveled three times the distance x - 13 traveled, and therefore y - 14 was found to be faster than x - 13 by 4000 kilometers per second. asteroid z - 15 had an identical speed as that of x - 13, but because z - 15 was observed for a longer period, it traveled five times the distance x - 13 traveled during x - 13's inspection. asteroid x - 13 traveled how many kilometers during its observation?
Answer the question using a single word or phrase.

[Assistant] 1,000

[User]
a corporation that had $ 10 billion in profits for the year paid out $ 500 million in employee benefits. approximately what percent of the profits were the employee benefits? ( note : 1 billion = 10 ^ 9 )
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[Assistant] 5 %

[User]
a train 280 m long can cross an electric pole in 20 sec and then find the speed of the train?
Answer the question using a single word or phrase.

[Assistant] 50 kmph


[User]
the tax on a commodity is diminished by 25 % and its consumption increased by 15 %. the effect on revenue is?
Answer the question using a single word or phrase.

[Assistant] 19 % decrease

[User]
every year an amount increases by 1 / 8 th of itself. how much will it be after two years if its present value is rs. 83200?
Answer the question using a single word or phrase.

[Assistant] 105300

[User]
the length of a side of a hexagon is 2 inches. what is the perimeter?
Answer the question using a single word or phrase.

[Assistant] 12

[User]
a student is ranked 12 th from right and 6 th from left. how many students are there in totality?
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[Assistant] 19

[User]
x starts a business with rs. 35000. y joins in the business after 3 months with rs. 25000. what will be the ratio in which they should share the profit at the end of the year?
Answer the question using a single word or phrase.

[Assistant] 28 : 15


[User]
in a certain parking lot, 5 % of the cars are towed for parking illegally. however 80 % of the cars which are parked illegally are not towed. what percentage of cars in the parking lot are parked illegally?
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[Assistant] 25 %

[User]
in n is a positive integer less than 200, and 14 n / 60 is an integer, then n has how many different positive prime factors?
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[Assistant] 3

[User]
if x is to be chosen at random from the integers between 1 to 6, inclusive, and y is to be chosen at random from the integers between 7 and 11, inclusive, what is the probability that x + y will be even?
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[Assistant] 1 / 2

[User]
how long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 290 m in length?
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[Assistant] 24.00 sec

[User]
the total number of plums that grow during each year on a certain plum tree is equal to the number of plums that grew during the previous year, less the age of the tree in years ( rounded down to the nearest integer ). during its 8 th year, the plum tree grew 50 plums. if this trend continues, how many plums will it grow during its 6 th year?
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[Assistant] 25


[User]
a man covers a distance of 180 km at 72 kmph and next 190 km at 88 kmph. what is his average speed for his whole journey of 370 km?
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[Assistant] 77.25 kmph

[User]
find the sum of first 16 natural numbers
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[Assistant] 136

[User]
in a zoo, the ratio of the number of cheetahs to the number of pandas is 1 : 3 and was the same 5 years ago. if the increase in the number of cheetahs in the zoo since then is 2, then what is the increase in the number of pandas?
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[Assistant] 6

[User]
ramesh purchased a refrigerator for rs. 16500 after getting a discount of 20 % on the labelled price. he spent rs. 125 on transport and rs. 250 on installation. at what price should it be sold so that the profit earned would be 10 % if no discount was offered?
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[Assistant] 23100

[User]
john bought a total of 16 mangoes and oranges. each mango costs 80 cents and each orange costs 60 cents. if the average price of the 16 mangoes and oranges that john originally purchased was 65 cents, then how many oranges needs to return to raise the average price of his purchase to 72 cents?
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[Assistant] 10


[User]
45 workers work 8 hours to dig a hole 30 meters deep. how many extra workers should be hired to dig another hole 30 meters deep by working for 6 hours?
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[Assistant] 15

[User]
the cost of 8 pens and 4 pencils is rs. 200 and the cost of 2 pens and 2 pencils is rs. 48. find the cost of each pen?
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[Assistant] rs. 26

[User]
if the product of 4 integers is negative, at most how many of the integers can be negative?
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[Assistant] 3

[User]
a man can row 9 kmph in still water. when the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. how far is the place?
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[Assistant] 4.42

[User]
if 12 men can reap 120 acres of land in 36 days, how many acres of land can 44 men reap in 54 days?
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[Assistant] 660 acres


[User]
the value of a scooter depreciates in such a way that its value of the end of each year is 3 / 4 of its value of the beginning of the same year. if the initial value of the scooter is rs. 40,000, what is the value at the end of 3 years?
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[Assistant] 16875

[User]
the wages earned by robin is 50 % more than that earned by erica. the wages earned by charles is 60 % more than that earned by erica. how much percent is the wages earned by charles more than that earned by robin?
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[Assistant] 7 %

[User]
a 20 litre mixture of milk and water contains milk and water in the ratio 3 : 2. 10 litres of the mixture is removed and replaced with pure milk and the operation is repeated once more. at the end of the two removal and replacement, what is the ratio r of milk and water in the resultant mixture?
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[Assistant] 9 : 1

[User]
reb normally drives to work in 45 minutes at an average speed of 40 miles per hour. this week, however, she plans to bike to work along a route that decreases the total distance she usually travels when driving by 20 %. if reb averages between 12 and 16 miles per hour when biking, how many minutes earlier will she need to leave in the morning in order to ensure she arrives at work at the same time as when she drives?
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[Assistant] 75

[User]
a merchant sells an item at a 20 % discount, but still makes a gross profit of 20 percent of the cost. what percent p of the cost would the gross profit on the item have been if it had been sold without the discount?
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[Assistant] 50 %


[User]
a store owner estimates that the average price of type a products will increase by 15 % next year and that the price of type b products will increase by 10 % next year. this year, the total amount paid for type a products was $ 4500 and the total price paid for type b products was $ 8300. according to the store owner's estimate, and assuming the number of products purchased next year remains the same as that of this year, how much will be spent for both products next year?
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[Assistant] $ 14,305

[User]
the area of one square is x ^ 2 + 8 x + 16 and the area of another square is 4 x ^ 2 − 28 x + 49. if the sum of the perimeters of both squares is 72, what is the value of x?
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[Assistant] 7

[User]
a particular library has 75 books in a special collection, all of which were in the library at the beginning of the month. these book are occasionally loaned out through an inter - library program. if, by the end of the month, 80 percent of books that were loaned out are returned and there are 65 books in the special collection at that time, how many books of the special collection were loaned out during that month?
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[Assistant] 50

[User]
while driving from a - ville to b - town, harriet drove at a constant speed of 95 kilometers per hour. upon arriving in b - town, harriet immediately turned and drove back to a - ville at a constant speed of 155 kilometers per hour. if the entire trip took 5 hours, how many minutes did it take harriet to drive from a - ville to b - town?
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[Assistant] 186

[User]
the owner of a furniture shop charges his customer 24 % more than the cost price. if a customer paid rs. 8091 for a computer table, then what was the cost price of the computer table?
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[Assistant] 6525


[User]
what is the smallest number which when diminished by 10, is divisible 2, 6, 12 and 24?
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[Assistant] 34

[User]
the cash realised on selling a 14 % stock is rs. 108.25, brokerage being 1 / 4 % is?
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[Assistant] 108

[User]
if n is the greatest positive integer for which 4 ^ n is a factor of 8!, then n =?
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[Assistant] 2

[User]
if the average ( arithmetic mean ) of a and b is 215, and the average of b and c is 160, what is the value of a − c?
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[Assistant] 110

[User]
3 boys are ages 4, 6 and 7 respectively. 3 girls are ages 5, 8 and 9, respectively. if two of the boys and two of the girls are randomly selected and the sum of the selected children's ages is w, what is the difference between the probability that w is even and the probability that w is odd?
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[Assistant] 1 / 9


[User]
a can do a job in 30 days and b can do it in 30 days. a and b working together will finish twice the amount of work in - - - - - - - days?
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[Assistant] 30 days

[User]
8 x 2.25 - 5 x 0.85 / 2.5 =?
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[Assistant] 5.5

[User]
a is a working partner and b is a sleeping partner in the business. a puts in rs. 20000 and b rs. 25000, a receives 10 % of the profit for managing the business the rest being divided in proportion of their capitals. out of a total profit of rs. 9600, money received by a is?
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[Assistant] 4800

[User]
if leo gains 10 pounds, he will weigh 50 % more than his sister kendra. currently their combined weight is 170 pounds. what is leo's current weight?
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[Assistant] 98

[User]
john and jane went out for a dinner and they ordered the same dish. both used a 10 % discount coupon. john paid a 15 % tip over the original price of the dish, while jane paid the tip over the discounted price for the coupon. if john paid $ 0.63 more than jane, what was the original price of the dish?
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[Assistant] 42


[User]
1904 x 1904 =?
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[Assistant] 3625216

[User]
at what rate percent per annum will sum of money double in 20 years?
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[Assistant] 5 %

[User]
n is a positive integer. when n + 1 is divided by 3, the remainder is 2. what is the remainder when n is divided by 3?
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[Assistant] 1

[User]
i bought two books ; for rs. 490. i sold one at a loss of 15 % and other at a gain of 19 % and then i found each book was sold at the same price. find the cost of the book sold at a loss?
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[Assistant] 285.83

[User]
if 13 men do a work in 80 days, in how many days will 20 men do it?
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[Assistant] 52 days