[User]
two men a and b start from place x walking at 4 ½ kmph and 5 ¾ kmph respectively. how many km apart they are at the end of 5 ½ hours if they are walking in the same direction?
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[Assistant] 6 7 / 8 km

[User]
a man walking at a rate of 10 km / hr crosses a bridge in 10 minutes. the length of the bridge is?
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[Assistant] 1667

[User]
the distance from steve's house to work is 40 km. on the way back steve drives twice as fast as he did on the way to work. altogether, steve is spending 6 hours a day on the roads. what is steve's speed on the way back from work?
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[Assistant] 20.

[User]
the average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 67 kg. what is the weight of the new person?
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[Assistant] 87

[User]
if a # b = ab – b + b ^ 2, then 3 # 8 =
Answer the question using a single word or phrase.

[Assistant] 80


[User]
a marching band of 240 musicians are to march in a rectangular formation with s rows of exactly t musicians each. there can be no less than 8 musicians per row and no more than 30 musicians per row. how many different rectangular formations z are possible?
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[Assistant] z = 8

[User]
find the sum of first 10 odd numbers
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[Assistant] 100

[User]
two trains 200 m and 150 m long are running on parallel rails at the rate of 40 kmph and 44 kmph respectively. in how much time will they cross each other, if they are running in the same direction?
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[Assistant] 140 sec

[User]
tom reads at an average rate of 30 pages per hour, while jan reads at an average rate of 37 pages per hour. if tom starts reading a novel at 4 : 00, and jan begins reading an identical copy of the same book at 4 : 56, at what time will they be reading the same page?
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[Assistant] 8 : 56

[User]
ratio between rahul and deepak is 4 : 3, after 6 years rahul age will be 42 years. what is deepak present age.
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[Assistant] 27


[User]
an outlet pipe can empty 2 / 3 of a cistern in 20 minutes. in 8 minutes, what part of the cistern will be emptied?
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[Assistant] 4 / 15

[User]
the number of diagonals of a polygon of n sides is given by the formula f = n ( n - 3 ) / 2. if a polygon has twice as many diagonals as sides, how many sides does it have?
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[Assistant] 5

[User]
a 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 16 sec. what is the length of the platform?
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[Assistant] 431.25 m

[User]
two poles of height 6 meters and 11 meters stand on a plane ground. if the distance between their feet is 12 meters then find the difference in the distance between their tops :
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[Assistant] 13 m

[User]
if teena is driving at 55 miles per hour and is currently 7.5 miles behind loe, who is driving at 40 miles per hour in the same direction then in how many minutes will teena be 15 miles ahead of loe?
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[Assistant] 90


[User]
a bag contains 4 red, 5 blue and 3 green balls. if 3 ballsare picked at random, what is the probability that both are red?
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[Assistant] 1 / 55

[User]
the length of a rectangular plot is thrice its width. if the area of the rectangular plot is 507 sq meters, then what is the width ( in meters ) of the rectangular plot?
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[Assistant] 13

[User]
the amount of time that three people worked on a special project was in the ratio of 3 to 5 to 6. if the project took 140 hours, how many more hours did the hardest working person work than the person who worked the least?
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[Assistant] 30 hours

[User]
a student gets 60 % in one subject, 80 % in the other. to get an overall of 75 % how much should get in third subject.
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[Assistant] 85 %

[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 20 - ounce cans of the concentrate are required to prepare 200 6 - ounce servings of orange juice?
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[Assistant] 15


[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 $ 0.36 more than jane, what was the original price of the dish?
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[Assistant] 24

[User]
a, b and c invested rs. 8000, rs. 4000 and rs. 8000 respectively in a business. a left after six months. if after eight months, there was a gain of rs. 4005, then what will be the share of b?
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[Assistant] rs 890

[User]
two pumps are connected to an empty tank. pump x fills the tank with water at a constant rate, while pump y drains water out of the tank at a constant rate. the two pumps finish filling the tank in 6 times the duration it would take pump x alone to fill the tank. if pump y alone can empty a whole tank in 48 minutes, then how many minutes does it take pump x alone to fill the tank?
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[Assistant] 40

[User]
a man sells an article at a profit of 25 %. if he had bought it at 20 % less and sold it for rs. 16.80 less, he would have gained 30 %. find the cost of the article.
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[Assistant] 80

[User]
given a two - digit number, the unit's digit exceeds its 10's digit by 5 and the product of the given number and the sum of its digits is equal to 90, which of the options is the number?
Answer the question using a single word or phrase.

[Assistant] 27


[User]
if â € œ * â €  is called â € œ + â € , â € œ / â €  is called â € œ * â € , â € œ - â €  is called â € œ / â € , â € œ + â €  is called â € œ - â € . 240 - 80 / 60 - 40 * 10 =?
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[Assistant] 14.5

[User]
a bus covered a distance of 250 km, partly at an average speed of 40 kmph and partly at 60 kmph. if the total time taken is 5.5 hours, then the distance covered at 40 kmph is
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[Assistant] 160 km

[User]
the least number which when increased by 3 each divisible by each one of 24, 32, 36 and 54 is :
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[Assistant] 861

[User]
two trains are moving in opposite directions at 60 km / hr and 90 km / hr. their lengths are 1.10 km and 0.15 km respectively. the time taken by the slower train to cross the faster train in seconds is?
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[Assistant] 30 sec

[User]
what is the compound interest on rs : 80,000 for 4 months at the rate of 5 % per annum
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[Assistant] 1341.69


[User]
tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. what is the probability that the ticket drawn has a number which is a multiple of 3 or 5?
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[Assistant] 9 / 20

[User]
the cross - section of a water channel is a trapezium in shape. if the channel is 14 meters wide at the top and 8 meters wide at the bottom and the area of cross - section is 770 square meters, what is the depth of the channel ( in meters )?
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[Assistant] 70

[User]
what is the measure of the radius of the circle that circumscribes a triangle whose sides measure 5, 12 and 13?
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[Assistant] 6.5

[User]
the cost price of 20 articles is the same as the selling price of x articles. if the profit is 25 % then determine the value of x.
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[Assistant] 16

[User]
how many positive integers less than 260 are multiple of 4 but not multiples of 6?
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[Assistant] 45


[User]
the area of sector of a circle whose radius is 10 metro and whose angle at the center is 42 â ° is?
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[Assistant] 36.7

[User]
120 is what percent of 80?
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[Assistant] 150 %

[User]
a rectangular room has the rectangular shaped rug shown as above figure such that the rug ’ s area is 140 square feet and its length is 4 feet longer than its width. if the uniform width between the rug and room is 4 feet, what is the area of the region uncovered by the rug ( shaded region ), in square feet?
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[Assistant] 256

[User]
at a meeting, 25 attendants used a pencil and 15 attendants used a pen. if exactly 20 attendants used only one of the two types of writing tools, how many attendants wrote with both types of writing tools?
Answer the question using a single word or phrase.

[Assistant] 10

[User]
in the xy - plane the point ( - 2 - 3 ) is the centre of a circle, the point ( - 2, 2 ) lies inside the circle and the point ( 5, - 3 ) lies outside the circle. if the radius r of the circle r is an integer then r =
Answer the question using a single word or phrase.

[Assistant] 6


[User]
working together, tim and tom can type 15 pages in one hour. if they would be able to type 18 pages in one hour if tom increases his typing speed by 60 %, what is the ratio of tom's normal typing speed to that of tim?
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[Assistant] 1 / 2

[User]
how many digits are in ( 12 × 10 ^ 14 ) ( 10 × 10 ^ 15 )?
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[Assistant] 32

[User]
20 men can complete a piece of work in 30 days. in how many days can 25 men complete that piece of work?
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[Assistant] 24

[User]
what is 12.5 % of 4 / 12 of 600?
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[Assistant] 25

[User]
what is 985 * 985?
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[Assistant] 970,225


[User]
find the slope of the line perpendicular to the line y = ( 1 / 6 ) x - 7
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[Assistant] - 6

[User]
a, b and c play a cricket match. the ratio of the runs scored by them in the match is a : b = 1 : 3 and b : c = 1 : 5. if the total runs scored by all of them are 95, the runs scored by c are?
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[Assistant] 75

[User]
dacid obtained 61, 65, 82, 67 and 85 marks ( out of 100 ) in english, mathematics, physics, chemistry and biology. what are his average marks?
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[Assistant] 72

[User]
7500 + ( 1250 / 50 )
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[Assistant] 7525

[User]
the prices of tea and coffee per kg were the same in june. in july the price of coffee shot up by 20 % and that of tea dropped by 20 %. if in july, a mixture containing equal quantities of tea and coffee costs 50 / kg. how much did a kg of coffee cost in june?
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[Assistant] 50


[User]
what is the least number of square tiles required to pave the floor of a room 13 m 44 cm long and 4 m 44 cm broad?
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[Assistant] 4144

[User]
micheal and adam can do together a piece of work in 20 days. after they have worked together for 16 days micheal stops and adam completes the remaining work in 10 days. in how many days micheal complete the work separately.
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[Assistant] 100 / 3 days

[User]
a palindrome is a number that reads the same forward and backward, such as 171. how many even, 6 - digit numbers are palindromes?
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[Assistant] 400

[User]
of the 200 stamps in a collection, 90 are foreign and 50 are more than 10 years old. if 20 stamps are both foreign and more than 10 years old, how many stamps are neither foreign nor more than 10 years old?
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[Assistant] 80

[User]
after doing 3 / 5 of the biology homework on monday night, sanjay did 1 / 3 of the remaining homework on tuesday night. what fraction of the original homework would sanjay have to do on wednesday night to complete the biology assignment?
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[Assistant] 4 / 15


[User]
difference of two numbers is 1860. if 7.5 % of the number is 12.5 % of the other number, find the number?
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[Assistant] 2790, 4650

[User]
a box contains 9 slips that are each labeled with one number : 1, 2, 3, 5, 8, 13, 21, and 55. two of the slips are drawn at random from the box without replacement. what is the probability that the sum of the numbers on the two slips is equal to one of the numbers left in the box?
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[Assistant] 5 / 28

[User]
a shopkeeper sold an article offering a discount of 4 % and earned a profit of 26 %. what would have been the percentage of profit earned if no discount was offered?
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[Assistant] 31

[User]
find the area of trapezium whose parallel sides are 24 cm and 14 cm long, and the distance between them is 18 cm?
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[Assistant] 342 cm 2

[User]
the reciprocal of the hcf and lcm of two are 1 / 17 and 1 / 312. if one of the number is 24 then other no. is
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[Assistant] 221


[User]
a man bought 10 crates of mangoes for $ 160 total. if he lost 2 of the crates, at what price would he have to sell each of the remaining crates in order to earn a total profit of 25 percent of the total cost?
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[Assistant] $ 25

[User]
the speed at which a man can row a boat in still water is 6.5 kmph. if he rows downstream, where the speed of current is 2.5 kmph, what time will he take to cover 90 metres?
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[Assistant] 36 seconds

[User]
if x = 1 + √ 2, then what is the value of x 4 - 4 x 3 + 4 x 2 + 4?
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[Assistant] 5

[User]
a cube of side 1.5 meter length is cut into small cubes of side 10 cm each. how many such small cubes can be obtained?
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[Assistant] 3375

[User]
if the average ( arithmetic mean ) of a and b is 45 and the average of b and c is 70, what is the value of c − a?
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[Assistant] 50


[User]
on selling 15 balls at rs. 720, there is a loss equal to the cost price of 5 balls. the cost price of a ball is :
Answer the question using a single word or phrase.

[Assistant] s. 72

[User]
two vessels p and q contain 62.5 % and 87.5 % of alcohol respectively. if 3 litres from vessel p is mixed with 4 litres from vessel q, the ratio of alcohol and water in the resulting mixture is?
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[Assistant] 179 : 54

[User]
x and y are positive integers. when x is divided by 6, the remainder is 3, and when x is divided by 16, the remainder is 5. when y is divided by 9, the remainder is 5, and when y is divided by 7, the remainder is 4. what is the least possible value of x / y?
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[Assistant] 1.5

[User]
in what time will a train 600 meters long cross an electric pole, if its speed is 144 km / hr
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[Assistant] 15 seconds

[User]
a certain class of students is being divided into teams. the class can either be divided into 10 teams with an equal number of players on each team or 24 teams with an equal number of players on each team. what is the lowest possible number of students in the class?
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[Assistant] 120


[User]
a man took a loan from a bank at the rate of 12 % p. a. simple interest. after 3 years he had to pay rs. 5400 interest only for the period. the principal amount borrowed by him was :
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[Assistant] rs. 15,000

[User]
the ratio of the present age of sandy to that of molly is 7 : 2. twelve years from now, the ratio of the ages of sandy to molly will be 5 : 2. what was sandy's age 6 years ago?
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[Assistant] 57

[User]
the sides of a triangle are in the ratio 3 : 5 : 7. if the pereimeter is 60 cms, the longest side is
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[Assistant] 28

[User]
how many positive integers between 5 and 5000 ( both are inclusive ) are there such that they are multiples of 5?
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[Assistant] 1000

[User]
the sale price sarees listed for rs. 528 after successive discount is 20 % and 10 % is?
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[Assistant] 380


[User]
a train covers a distance of 9 km in 6 min. if it takes 5 sec to pass a telegraph post, then the length of the train is?
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[Assistant] 125

[User]
the ratio of the number of red cars in a certain parking lot to the number of black cars is 3 to 8. if there are 52 black cars in the lot, how many red cars are there in the lot?
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[Assistant] 20

[User]
in a certain pet shop, the ratio of dogs to cats to bunnies in stock is 3 : 5 : 9. if the shop carries 204 dogs and bunnies total in stock, how many dogs are there?
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[Assistant] 51

[User]
there are 5 guys who have equal number of bullets. all of them shoot 4 bullets. the remaining bullets are equal to the total number of bullets remaining is equal to the bullets each had after division. what was the original number of bullets each one had?
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[Assistant] 25

[User]
the cost price of an article is 55 % of the marked price. calculate the gain percent after allowing a discount of 15 %.
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[Assistant] 54.5 %


[User]
a full stationary oil tank that is a right circular cylinder has a radius of 100 feet and a height of 25 feet. oil is pumped from the stationary tank to an oil truck that has a tank that is a right circular cylinder until the truck's tank is completely filled. if the truck's tank has a radius of 4 feet and a height of 10 feet, how far ( in feet ) did the oil level drop in the stationary tank?
Answer the question using a single word or phrase.

[Assistant] 0.016

[User]
peter and tom shared the driving on a certain trip. if peter and tom both drove for the same amount of time, but peter only drove 2 / 5 of the total distance, what was the ratio of tom's average speed to peter's average speed?
Answer the question using a single word or phrase.

[Assistant] 3 : 2

[User]
a grocery shop has a sale of rs. 6735, rs. 6927, rs. 6855, rs. 7230 and rs. 6562 for 5 consecutive months. how much sale must he have in the sixth month so that he gets an average sale of rs. 6500?
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[Assistant] 4691

[User]
a person can swim in still water at 4 km / h. if the speed of water 2 km / h, how many hours will the man take to swim back against the current for 12 km?
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[Assistant] 6

[User]
1 / 4 of all the juniors and 2 / 3 of all the seniors are going on a trip. if there are 2 / 3 as many juniors as seniors, what fraction of the students are not going on the trip?
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[Assistant] 1 / 2


[User]
sonika deposited rs. 4500 which amounted to rs. 8400 after 2 years at simple interest. had the interest been 4 % more. she would get how much?
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[Assistant] 8760

[User]
a grocer has a sale of rs. 4000, rs. 6524, rs. 5689, rs. 7230 and rs. 6000 for 5 consecutive months. how much sale must he have in the sixth month so that he gets an average sale of rs. 7000?
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[Assistant] s. 12557

[User]
in one hour, a boat goes 14 km / hr along the stream and 8 km / hr against the stream. the speed of the boat in still water ( in km / hr ) is :
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[Assistant] 11 km / hr

[User]
at a contest with 2000 participants, 1 / 2 of the people are aged 16 to 18. next year, the number of people aged 16 to 18 will increase by 1 / 4. after this change, what percentage of the total 2000 people will the 16 - to 18 - year - olds represent?
Answer the question using a single word or phrase.

[Assistant] 62.50 %

[User]
two trains each 250 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 70 kmph respectively. in what time will they cross each other completely?
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[Assistant] 12 sec


[User]
the closest approximation of f ( 69.28 × 0.004 ) / 0.03 is
Answer the question using a single word or phrase.

[Assistant] 9.2

[User]
there are 9 executives, including the ceo and cfo, that are asked to form a small team of 4 members. however, the ceo and cfo may not both be assigned to the team. given this constraint, how many ways are there to form the team?
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[Assistant] 105

[User]
the average of first 11 prime numbers is?
Answer the question using a single word or phrase.

[Assistant] 14.55

[User]
if 12 men or 20 women can do a piece of work in 108 days, then in how many days can 9 men and 12 women together do the work?
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[Assistant] 80 days

[User]
the market value of a 10.5 % stock, in which an income of rs. 756 is derived by investing rs. 7500, brokerage being 1 / 4 %, is :
Answer the question using a single word or phrase.

[Assistant] 103.92


[User]
a bag contains 6 black and 5 white balls. one ball is drawn at random. what is the probability that the ball drawn is white?
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[Assistant] 5 / 11

[User]
in what ratio water be mixed with milk costing rs. 12 per liter to obtain a mixture worth of rs. 8 per litre?
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[Assistant] 1 : 2

[User]
find the largest number of 4 digits which is exactly divisible by 2718, 1615
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[Assistant] 8640

[User]
a reindeer chased by a cheetah passed a certain tree at a constant speed of 50 miles per hour while being chased by a cheetah. then, 2 minutes later, the cheetah passed the same tree at a constant speed of 60 miles per hour. if both animals maintained their speeds, how long after the cheetah passed the tree did the cheetah catch up with the reindeer?
Answer the question using a single word or phrase.

[Assistant] 3 min

[User]
if the numbers 1 to 100 are written on 100 pieces of paper, ( one on each ) and one piece is picked at random, then what is the probability that the number drawn is neither prime nor composite?
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[Assistant] 1 / 100


[User]
a fort had provision of food for 150 men for 45 days. after 10 days, 25 men left the fort. find out the number of days for which the remaining food will last
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[Assistant] 42

[User]
a can do a work in 6 days, b can do a work in 8 days and c can do it in 12 days. b left work after 2 days. for how many number of days should a and c should work together to complete the remaining work?
Answer the question using a single word or phrase.

[Assistant] 1 / 3

[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 sandy will make a basket but jill will miss?
Answer the question using a single word or phrase.

[Assistant] 1 / 56

[User]
a mixture contains milk and water in the ratio 7 : 3. on adding 20 liters of water, the ratio of milk to water becomes 7 : 5. total quantity of milk & water before adding water to it?
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[Assistant] 100

[User]
the average age of a class of 20 students is 14 years. the average increased by 2 when the teacher's age also included. what is the age of the teacher?
Answer the question using a single word or phrase.

[Assistant] 36 years


[User]
a basketball team composed of 12 players scored 100 points in a particular contest. if none of the individual players scored fewer than 7 points, what is the greatest number of points w that an individual player might have scored?
Answer the question using a single word or phrase.

[Assistant] 23

[User]
the average length of 6 strings is 80 cm. if the average length of one third of the strings is 70 cm, what is the average of the other strings?
Answer the question using a single word or phrase.

[Assistant] 85.

[User]
a can do a piece of work in 24 days and b can do it in 15 days and c can do it 20 days. they started the work together and a leaves after 2 days and b leaves after 4 days from the beginning. how long will work lost?
Answer the question using a single word or phrase.

[Assistant] 13

[User]
a palindrome is a number that reads the same forward and backward, such as 242. how many even 9 - digit numbers are palindromes?
Answer the question using a single word or phrase.

[Assistant] 40000

[User]
a cube is divided into 64 identical cubelets. each cut is made parallel to some surface of the cube. but before doing that, the cube is painted with green on one set of opposite faces, red on another set of opposite faces, and blue on the third set of opposite faces. how many cubelets are painted with exactly one colour?
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[Assistant] 24


[User]
find the ones digit of 73 ^ 352
Answer the question using a single word or phrase.

[Assistant] 1

[User]
the difference between the compound interest and simple interest on a certain sum of money at 5 % per annum for 2 years is 45. then the original sum is?
Answer the question using a single word or phrase.

[Assistant] rs. 18000 / -

[User]
the least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 13 is :
Answer the question using a single word or phrase.

[Assistant] 553

[User]
sally has a gold credit card with a certain spending limit, and a platinum card with twice the spending limit of the gold card. currently, she has a balance on her gold card that is 1 / 3 of the spending limit on that card, and she has a balance on her platinum card that is 1 / 4 of the spending limit on that card. if sally transfers the entire balance on her gold card to her platinum card, what portion of her limit on the platinum card will remain unspent?
Answer the question using a single word or phrase.

[Assistant] 7 / 12

[User]
at the end of the day, february 14 th, a florist had 120 roses left in his shop, all of which were red, white or pink in color and either long or short - stemmed. a third of the roses were short - stemmed, 30 of which were white and 5 of which were pink. the percentage of pink roses that were short - stemmed equaled the percentage of red roses that were short - stemmed. if none of the long - stemmed roses were white, what percentage of the long - stemmed roses were red?
Answer the question using a single word or phrase.

[Assistant] 80 %


[User]
a car is running at a speed of 108 kmph. what distance will it cover in 15 sec?
Answer the question using a single word or phrase.

[Assistant] 450 m

[User]
two trains each 250 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 60 kmph respectively. in what time will they cross each other completely?
Answer the question using a single word or phrase.

[Assistant] 12.9 sec

[User]
at a certain food stand, the price of each apple is 40 ¢ and the price of each orange is 60 ¢. mary selects a total of 10 apples and oranges from the food stand, and the average ( arithmetic mean ) price of the 10 pieces of fruit is 52 ¢. how many oranges must mary put back so that the average price of the pieces of fruit that she keeps is 44 ¢?
Answer the question using a single word or phrase.

[Assistant] 5

[User]
there were 35 students in a hostel. due to the admission of 7 new students the expenses of the mess were increased by rs. 42 per day while the average expenditure per head diminished by re 1. what was the original expenditure of the mess?
Answer the question using a single word or phrase.

[Assistant] rs. 420

[User]
excluding stoppages, the speed of a bus is 54 km / hr and including stoppages, it is 45 km / hr. for how many minutes does the bus stop per hour?
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[Assistant] 10


[User]
what is the number of integers from 1 to 1000 ( inclusive ) that are divisible by neither 11 nor by 34?
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[Assistant] 890

[User]
veena ranks 79 rd from the top in a class of 182. what is her rank from the bottom if 22 students have failed the examination?
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[Assistant] 82

[User]
the avg weight of a, b & c is 84 kg. if d joins the group, the avg weight of the group becomes 80 kg. if another man e who weights is 4 kg more than d replaces a, then the avgof b, c, d & e becomes 79 kg. what is the weight of a?
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[Assistant] 76

[User]
a certain telescope increases the visual range at a particular location from 100 kilometers to 150 kilometers. by what percent is the visual range increased by using the telescope?
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[Assistant] 50 %

[User]
what is the area of a square field whose diagonal of length 10 m?
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[Assistant] 50


[User]
if a wholesaler distributes items to several outlets ( a, b, c and d ) in the ratio of 1 / 10 : 1 / 11 : 1 / 15 : 1 / 16, then find the total number of items the wholesaler distributes?
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[Assistant] 845

[User]
what is the lowest positive integer that is divisible by each of the integers 1 through 9 inclusive?
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[Assistant] 2520

[User]
the average weight of a group of boys is 20 kg. after a boy of weight 36 kg joins the group, the average weight of the group goes up by 1 kg. find the number of boys in the group originally?
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[Assistant] 15

[User]
if 2994 ã · 14.5 = 175, then 29.94 ã · 1.45 =?
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[Assistant] 17.5

[User]
what is the remainder when the number y = 14 ^ 2 * 15 ^ 8 is divided by 5?
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[Assistant] 0


[User]
there are 50 students in a class. if 2 % are absent on a particular day, find the number of students present in the class.
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[Assistant] 49

[User]
if k and w are the dimensions of a rectangle that has area 40, and if k and w are integers such that k > w, what is the total number of possible values of k?
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[Assistant] four

[User]
jim drove 215 miles of a 1200 miles journey. how many more miles does he need to drive to finish his journey?
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[Assistant] 985 miles

[User]
for a certain alarm system, each code is comprised of 5 digits, but no digit can be used more than twice. how many codes can be made?
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[Assistant] 91440

[User]
in the rectangular coordinate system, if the line x = 3 y + 5 passes through points ( m, n ) and ( m + 2, n + p ), what is the value of p?
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[Assistant] 2 / 3


[User]
a train 360 m long runs with a speed of 45 km / hr. what time will it take to pass a platform of 290 m long?
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[Assistant] 52 sec

[User]
if x and y are integers such that ( x + 1 ) ^ 2 is less than or equal to 81 and ( y - 1 ) ^ 2 is less than 64, what is the sum of the maximum possible value of xy and the minimum possible value of xy?
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[Assistant] - 20

[User]
the simple interest on a sum of money will be rs. 900 after 10 years. if the principal is trebled after 5 years what will be the total interest at the end of the tenth year?
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[Assistant] 1800

[User]
the present ratio of students to teachers at a certain school is 40 to 1. if the student enrollment were to increase by 50 students and the number of teachers were to increase by 5, the ratio of students to teachers would then be 25 to 1. what is the present number of teachers?
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[Assistant] 5

[User]
what is the sum of all possible solutions to | x - 6 | ^ 2 + | x - 6 | = 20?
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[Assistant] 12


[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 a
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[Assistant] 300

[User]
a hall is 18 meters long and 9 meters wide. if the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, what is the volume of the hall ( in cubic meters )?
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[Assistant] 972

[User]
truck x is 13 miles ahead of truck y, which is traveling the same direction along the same route as truck x. if truck x is traveling at an average speed of 47 miles per hour and truck y is traveling at an average speed of 53 miles per hour, how long will it take truck y to overtake and drive 5 miles ahead of truck x?
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[Assistant] 3 hours

[User]
how many bricks, each measuring 125 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm?
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[Assistant] 1280

[User]
the number of boxes in a warehouse can be divided evenly into 5 equal shipments by boat or 24 equal shipments by truck. what is the smallest number of boxes that could be in the warehouse?
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[Assistant] 120


[User]
a sum of money amounts to rs. 6690 after 3 years and to rs. 10,035 after 6 years on compound interest. find the sum.
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[Assistant] 4460

[User]
a sun is divided among x, y and z in such a way that for each rupee x gets, y gets 45 paisa and z gets 30 paisa. if the share of y is rs. 45, what is the total amount?
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[Assistant] 175

[User]
without stoppages, a train travels certain distance with an average speed of 100 km / h, and with stoppages, it covers the same distance with an average speed of 95 km / h. how many minutes per hour the train stops?
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[Assistant] 3

[User]
a tank is 25 m long, 12 m wide and 6 m deep. what is the cost of plastering its walls and bottom at the rate of 75 paise per sq. m?
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[Assistant] 558

[User]
a man swims downstream 36 km and upstream 26 km taking 2 hours each time, what is the speed of the man in still water?
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[Assistant] 15.5


[User]
an engineer designed a ball so that when it was dropped, it rose with each bounce exactly one - half as high as it had fallen. the engineer dropped the ball from a 18 - meter platform and caught it after it had traveled 53.4 meters. how many times did the ball bounce?
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[Assistant] 6

[User]
a certain telescope increases the visual range at a particular location from 90 kilometers to 150 kilometers. by what percent is the visual range increased by using the telescope?
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[Assistant] 66 2 / 3 %

[User]
bill made a profit of 10 % by selling a product. if he had purchased that product for 10 % less and sold it at a profit of 30 %, he would have received $ 35 more. what was his original selling price?
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[Assistant] $ 550

[User]
a car left town a towards town b driving at a speed of v = 32 km / hr. after 3 hours on the road the driver stopped for 15 min in town c. because of a closed road he had to change his route, making the trip 28 km longer. he increased his speed to v = 40 km / hr but still he was 30 min late. find the distance the car has covered.
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[Assistant] 116

[User]
total num of pupiles in 3 grades of scholl is 333. the no of pupiles in grades 1 and 2 are un 3 : 5 ratio and 2 and 3 grades are 7 : 11 ratio. what is the strength of class that has highest no of pupils
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[Assistant] 165


[User]
a train 150 metres long is moving at a speed of 25 kmph. it will cross a man coming from the opposite direction at a speed of 2 km per hour in :
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[Assistant] 20 sec

[User]
initially, the men and women in a room were in the ratio of 4 : 5. then, 2 men entered the room and 3 women left the room. then, the number of women doubled. now there are 14 men in the room. how many d women are currently in the room?
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[Assistant] 24

[User]
twenty four meters of wire is available to fence off a flower bed in the form of a circular sector. what must the radius of the circle in meters be, if we wish to have a flower bed with the greatest possible surface area?
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[Assistant] 6

[User]
the profit earned by selling an article for rs. 832 is equal to the loss incurred when the same article is sold for rs. 448. what should be the sale price for making 20 % profit?
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[Assistant] 768

[User]
how many positive integers, from 2 to 100, inclusive, are not divisible by odd integers greater than 1?
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[Assistant] 6


[User]
a and b finish the job in 15 days. while a, b and c can finish it in 6 days. c alone will finish the job in
Answer the question using a single word or phrase.

[Assistant] 10 days

[User]
in x game of billiards, x can give y 10 points in 60 and he can give z 30 points in 60. how many points can y give z in x game of 100?
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[Assistant] 40

[User]
find avrg speed if a man travels at speed of 16 km / hr up and 30 km / hr dawn at an altitude of 200 m.
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[Assistant] 20.8

[User]
a can do a work in 16 days and b can do it in 8 days. in how many days a and b can do the work?
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[Assistant] 5 1 / 3 days

[User]
in a forest 100 deer were caught, tagged with electronic markers, then released. a week later, 50 deer were captured in the same forest. of these 50 deer, it was found that 5 had been tagged with the electronic markers. if the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest, and if no deer had either left or entered the forest over the preceding week, what is the approximate number of deer in the forest?
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[Assistant] 1,000


[User]
find the sum the difference between the compound and s. i. on a certain sum of money for 2 years at 10 % per annum is rs. 20 of money?
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[Assistant] 2000

[User]
a man sold 20 articles for $ 50 and gained 20 %. how many articles should he sell for $ 90 to incur a loss 20 %?
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[Assistant] 54

[User]
find the least number must be added to 433124 so that remaining no. is divisible by 17?
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[Assistant] 2

[User]
a, b and c completed a piece of work, a worked for 6 days, b for 9 days and c for 4 days. their daily wages were in the ratio of 3 : 4 : 5. find the daily wages of c, if their total earning was rs. 1554?
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[Assistant] s. 105

[User]
the average weight of 25 girls increases by 1 kg when a new girl comes in place of one of them weighing 55 kg. what might be the weight of the new girl?
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[Assistant] 80 kg


[User]
everyone shakes hands with everyone else in a room. total number of handshakes is 120. number of persons =?
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[Assistant] e. 16

[User]
the average salary of the employees in a office is rs. 120 / month. the avg salary of officers is rs. 470 and of non officers is rs 110. if the no. of officers is 15, then find the no of nonofficers in the office.
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[Assistant] 525

[User]
find the least number which when divided by 31 and 9 leaves a remainder of 3 in each case.
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[Assistant] 282

[User]
two train each 500 m long, are running in opposite directions on parallel tracks. if their speeds are 45 km / hr and 30 km / hr respectively, the time taken by the slower train to pass the driver of the faster one is?
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[Assistant] 24 s

[User]
the average age of 32 students in a group is 10 years. when teacher's age is included to it, the average increases by one. what is the teacher's age in years?
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[Assistant] 43


[User]
mohit sold an article for $ 21000. had he offered a discount of 10 % on the selling price, he would have earned a profit of 8 %. what is the cost price of the article?
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[Assistant] 17500

[User]
a marketing firm determined that, of 200 households surveyed, 80 used neither brand k nor brand b soap, 60 used only brand k soap, and for every household that used both brands of soap, 3 used only brand b soap. how many of the 200 households surveyed used both brands of soap?
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[Assistant] 40

[User]
a shopkeeper cheats to the extent of 10 % while buying and selling, by using false weights. his total gain is.
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[Assistant] 21

[User]
the number of singles that a baseball player hit increased 15 percent from her first season to her second season, and the number of doubles that she hit in the same time period decreased by 5 percent. if the total number of singles and doubles that she hit increased 4 percent from her first season to her second season, what is the ratio of the number of singles she hit in her first season to the number of doubles she hit in her first season?
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[Assistant] 9 : 11

[User]
the product x of two prime numbers is between 17 and 55. if one of the prime numbers is greater than 2 but less than 6 and the other is greater than 13 but less than 25, then x =
Answer the question using a single word or phrase.

[Assistant] 51


[User]
in a college, 280 students study hindi, 254 students study sanskrit and 280 students study english. 97 students study hindi as well as physics, 138 students study sanskrit as well as english and 152 students study hindi as well as english. 73 students study all the 3 languages. how many total number of students are there in that college?
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[Assistant] 500

[User]
20 men shake hands with each other. maximum no of handshakes without cyclic handshakes.
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[Assistant] 190

[User]
a and b complete a work in 8 days. a alone can do it in 16 days. if both together can do the work in how many days?
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[Assistant] 5.3 days

[User]
suppose 8 monkeys take 8 minutes to eat 8 bananas. how many monkeys would it take to eat 48 bananas in 48 minutes
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[Assistant] 8 monkeys

[User]
a certain company has records stored with a record storage firm in 15 - inch by 12 - inch by 10 - inch boxes. the boxes occupy 1.08 million cubic inches of space. if the company pays $ 0.2 per box per month for the record storage, what is the total amount that the company pays each month for record storage?
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[Assistant] d. 120


[User]
company s produces two kinds of stereos : basic and deluxe. of the stereos produced by company s last month, 2 / 3 were basic and the rest were deluxe. if it takes 1.3 as many hours to produce a deluxe stereo as it does to produce a basic stereo, then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos?
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[Assistant] 13 / 33

[User]
two employees x and y are paid a total of rs. 528 per week by their employer. if x is paid 120 percent of the sum paid to y, how much is y paid per week?
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[Assistant] s. 240

[User]
8 identical machines, working alone and at their constant rates, take 6 hours to complete a job lot. how long would it take for 2 such machines to perform the same job?
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[Assistant] 24 hours

[User]
in a lake, there is a patch of lily pads. every day, the patch doubles in size. it takes 50 days for the patch to cover the entire lake, how many days would it take the patch to cover half of the lake?
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[Assistant] 49

[User]
a shopkeeper sold an article for rs 2564.36. approximately what was his profit percent if the cost price of the article was rs 2200
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[Assistant] 17 %


[User]
if a ( a - 6 ) = 27 and b ( b - 6 ) = 27, where a ≠ b, then a + b =?
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[Assistant] 6

[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 $ 8.64 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] 14 %

[User]
a cylindrical can has a radius of 4 centimeters and a height of 18 centimeters. what is the area, in square centimeters, of a rectangular label that completely covers the curved surface of the can without over - lapping?
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[Assistant] 144 pi

[User]
what is 5 2 / 3 - 3 5 / 4 divided by 5 / 2 - 7 / 6?
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[Assistant] 1

[User]
the perimeter of a triangle is 36 cm and the inradius of the triangle is 2.5 cm. what is the area of the triangle?
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[Assistant] 45 cm 2


[User]
sum of the squares of 3 no.'s is 222 and the sum of their products taken two at a time is 131. find the sum?
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[Assistant] 22

[User]
a salesman's income consists of a commission and a base salary of $ 450 per week. over the past 5 weeks, his weekly income totals have been $ 406, $ 413, $ 420, $ 436 and $ 395. what must his average ( arithmetic mean ) commission be per week over the next two weeks so that his average weekly income is $ 500 over the 7 - week period?
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[Assistant] $ 265

[User]
an art gallery has only paintings and sculptures. currently, 1 / 3 of the pieces of art are displayed, and 1 / 6 of the pieces on display are sculptures. if 1 / 3 of the pieces not on display are paintings, and 400 sculptures are not on display, how many pieces of art does the gallery have?
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[Assistant] 900

[User]
what is ( 25 ^ 7 + 25 ) / 25?
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[Assistant] 244140626

[User]
chris mixed 5 pounds of raisins with 4 pounds of nuts. if a pound of nuts costs 3 times as much as a pound of raisins, then the total cost of the raisins was what fraction of the total cost of the mixture?
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[Assistant] 5 / 17


[User]
a train running at the speed of 60 km / hr crosses a pole in 18 sec. what is the length of the train?
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[Assistant] 300

[User]
find the value for x from below equation : x / 3 = - 5?
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[Assistant] - 15

[User]
if an average hard drive had a capacity of 0.7 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] 7168

[User]
9 men went to a hotel. 8 of them spent rs. 3 each over their meals and the ninth spent rs. 2 more than the average expenditure of all the 9. determine the total money spent by them? a. rs. 29.25
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[Assistant] 29.25

[User]
a certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 2 of 10 candidates eligible to fill 2 identical positions in the computer science department. if none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the 3 positions?
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[Assistant] 315


[User]
in a certain company, a third of the workers do not have a retirement plan. 20 % of the workers who do not have a retirement plan are women, and 40 % of the workers who do have a retirement plan are men. if 144 of the workers of that company are men, how many of the workers are women?
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[Assistant] 126

[User]
95 white and black tiles will be used to form a 10 x 10 square pattern. if there must be at least one black tile in every row and at least one white tile in every column, what is the maximum difference between the number of black and white tiles that can be used?
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[Assistant] 85

[User]
in what time will a railway train 20 m long moving at the rate of 36 kmph pass a telegraph post on its way?
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[Assistant] 2 sec

[User]
what is the rate percent when the simple interest on rs. 800 amount to rs. 400 in 2 years?
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[Assistant] 25 %

[User]
taequan is playing a dice game where he rolls two, fair, 6 - sided dice twice. if he gets the same roll on his second try as his first, he wins. if he rolled an 8 on his first try, what is the probability that he will win with his second roll?
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[Assistant] 5 / 36


[User]
car a runs at the speed of 100 km / hr & reaches its destination in 5 hr. car b runs at the speed of 80 km / h & reaches its destination in 6 h. what is the respective ratio of distances covered by car a & car b?
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[Assistant] 25 : 24

[User]
george baked a total of 100 pizzas for 7 straight days, beginning on saturday. he baked 3 / 5 of the pizzas the first day, and 3 / 5 of the remaining pizzas the second day. if each successive day he baked fewer pizzas than the previous day, what is the maximum number of pizzas he could have baked on wednesday?
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[Assistant] 3

[User]
pipe a usually fills a tank in 2 hours. on account of a leak at the bottom of the tank, it takes pipe a 30 more minutes to fill the tank. how long will the leak take to empty a full tank if pipe a is shut?
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[Assistant] 10 hours

[User]
walking at 5 / 6 th of its usual speed a cab is 5 mnts late. find its usual time to cover the journey?
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[Assistant] 25 m

[User]
what is the 8 th digit to the right of the decimal point in the decimal expansion of 1 / 37?
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[Assistant] 2


[User]
there is a sufficient food for 200 men for 20 days after 15 days 100 men leave the place. for how many days will the rest of the food last for the rest of the men?
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[Assistant] 10 days

[User]
a motorcyclist started riding at highway marker a, drove 120 miles to highway marker b, and then, without pausing, continued to highway marker c, where she stopped. the average speed of the motorcyclist, over the course of the entire trip, was 30 miles per hour. if the ride from marker a to marker b lasted 3 times as many hours as the rest of the ride, and the distance from marker b to marker c was half of the distance from marker a to marker b, what was the average speed, in miles per hour, of the motorcyclist while driving from marker b to marker c?
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[Assistant] 90

[User]
how much 60 % of 50 is greater than 30 % of 30?
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[Assistant] 21

[User]
the average of 50 numbers id 50. if two numbers, namely 45 and 55 are discarded, the average of the remaining numbers is :
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[Assistant] 50

[User]
a can do a work in 9 days. b can do the same work in 18 days. if both a & b are working together in how many days they will finish the work?
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[Assistant] 6


[User]
how many numbers between 100 and 672 are divisible by 2, 3, and 7 together?
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[Assistant] 14

[User]
angelo and isabella are both salespersons. in any given week, angelo makes $ 550 in base salary plus 8 percent of the portion of his sales above $ 3,000 for that week. isabella makes 10 percent of her total sales for any given week. for what amount of weekly sales would angelo and isabella earn the same amount of money?
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[Assistant] 15,500

[User]
a girl scout was selling boxes of cookies. in a month, she sold both boxes of chocolate chip cookies ( $ 1.25 each ) and boxes of plain cookies ( $ 0.75 each ). altogether, she sold 1,585 boxes for a combined value of $ 1, 586.75. how many boxes of plain cookies did she sell?
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[Assistant] 789

[User]
a man purchased 3 blankets @ rs. 100 each, 5 blankets @ rs. 150 each and two blankets at a certain rate which is now slipped off from his memory. but he remembers that the average price of the blankets was rs. 157. find the unknown rate of two blankets?
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[Assistant] 520

[User]
0.0004? = 0.02
Answer the question using a single word or phrase.

[Assistant] 0.02


[User]
a bag contains 10 red jellybeans and 10 blue jellybeans. if 3 jellybeans are removed one at a time, at random and are not replaced, what is the probability t that all 3 jellybeans removed from the bag are blue?
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[Assistant] 2 / 19

[User]
the length of a rectangle is reduced by 25 %. by what % would the width have to be increased to maintainthe original area?
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[Assistant] 33 %

[User]
a survey was sent to 95 customers, 7 of whom responded. then the survey was redesigned and sent to another 63 customers, 9 of whom responded. by approximately what percent did the response rate increase from the original survey to the redesigned survey?
Answer the question using a single word or phrase.

[Assistant] 7 %

[User]
tough and tricky questions : word problems. ak car company wants to manufacture a new car known as model x, and it is trying to determine how many cars it needs to sell in order to make an annual profit of $ 30, 500000. the annual fixed costs for model x total $ 50, 200000. in addition, each model x car has an average cost of $ 5000 per vehicle to manufacture. if the company forecasts it will sell 20000 model x cars this year, at what price must the company sell the car to achieve the desired annual profit?
Answer the question using a single word or phrase.

[Assistant] $ 9035

[User]
according to the directions on a packet of smoothie mix, 1 3 - ounce packet of smoothie mix is to be combined with 15 ounces of water to make a smoothie. how many 3 - ounce packets of smoothie mix are required to prepare 150 12 - ounce smoothies?
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[Assistant] 180


[User]
how many 3 - digit numbers are divisible by 6 in all?
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[Assistant] 150

[User]
two pipes can fill a tank in 10 minutes and 25 minutes. an outlet pipe can empty the tank in 45 minutes. if all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
Answer the question using a single word or phrase.

[Assistant] 7 minutes

[User]
if 7 ^ k = 2, then 7 ^ ( 4 k + 2 ) =
Answer the question using a single word or phrase.

[Assistant] 784

[User]
one day a car rental agency rented 3 / 4 of its cars, including 3 / 5 of its cars with cd players. if 3 / 5 of its cars have cd players, what percent of the cars that were not rented had cd players?
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[Assistant] 24 / 25

[User]
little john had $ 5.10. he spent $ 1.05 on sweets and gave to his two friends $ 1.00 each. how much money was left?
Answer the question using a single word or phrase.

[Assistant] $ 2.05


[User]
the sum of the present ages of two persons a and b is 60. if the age of a is twice that of b, find the sum of their ages 4 years hence?
Answer the question using a single word or phrase.

[Assistant] 68

[User]
robert is travelling on his cycle andhas calculated to reach point a at 2 pm. if he travels at 10 kmph, he will reach there at 12 pm if he travels at 15 kmph. at what speed must he travel to reach a at 1 pm?
Answer the question using a single word or phrase.

[Assistant] 12 kmph

[User]
let f ( x, y ) be defined as the remainder when ( x – y )! is divided by x. if x = 36, what is the maximum value of y for which f ( x, y ) = 0?
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[Assistant] 30

[User]
a computer factory produces 4032 computers per month at a constant rate, how many computers are built every 30 minutes assuming that there are 28 days in one month?
Answer the question using a single word or phrase.

[Assistant] 3.00.

[User]
the ratio of the radius of two circles is 1 : 4, and then the ratio of their areas is?
Answer the question using a single word or phrase.

[Assistant] 1 : 16


[User]
the average age of a class of 39 students is 15 years. if the age of the teacher be included, then the average increased by 3 months. find the age of the teacher?
Answer the question using a single word or phrase.

[Assistant] 25

[User]
country x imported approximately $ 1.44 billion of goods in 1996. if country x imported $ 488 million of goods in the first two months of 1997 and continued to import goods at the same rate for the rest of the year, by how much would country xs 1997 imports exceed those of 1996?
Answer the question using a single word or phrase.

[Assistant] $ 1488 million

[User]
the ratio of 2 numbers is 2 : 7 and their h. c. f. is 18. their l. c. m. is?
Answer the question using a single word or phrase.

[Assistant] 252

[User]
110 people are attending a newspaper conference. 45 of them are writers and more than 38 are editors. of the people at the conference, x are both writers and editors and 2 x are neither. what is the largest possible number of people who are both writers and editors?
Answer the question using a single word or phrase.

[Assistant] 26

[User]
in may mrs lee's earnings were 70 percent of the lee family's total income. in june mrs lee earned 20 percent more than in may. if the rest of the family's income was the same both months, then, in june, mrs lee's earnings were approximately what percent of the lee family's total income?
Answer the question using a single word or phrase.

[Assistant] 74 %


[User]
one year ago, the ratio of roonie ’ s and ronaldo ’ s age was 6 : 7 respectively. 4 years hence, this ratio would become 7 : 8. how old is ronaldo?
Answer the question using a single word or phrase.

[Assistant] 36

[User]
a sum of money is to be distributed among a, b, c, d in the proportion of 5 : 2 : 4 : 3. if c gets rs. 900 more than d, what is b's share?
Answer the question using a single word or phrase.

[Assistant] rs. 1800

[User]
the speed at which a man can row a boat in still water is 14 kmph. if he rows downstream, where the speed of current is 2 kmph, what time will he take to cover 40 metres?
Answer the question using a single word or phrase.

[Assistant] 9 seconds

[User]
a, b and c started a business with a total investment of rs. 90000. a invests rs. 6000 more than b and b invests rs. 3000 less than c. if the total profit at the end of a year is rs. 8640, find c's share.
Answer the question using a single word or phrase.

[Assistant] rs. 2880

[User]
the ratio of the present age of sandy to that of molly is 9 : 2. sixteen years from now, the ratio of the ages of sandy to molly will be 5 : 2. what was sandy's age 6 years ago?
Answer the question using a single word or phrase.

[Assistant] 48


[User]
how many 3 - digits number are palindromic numbers? a palindromic number reads the same forward and backward, example 121.
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[Assistant] 90

[User]
the average of the 5 numbers is 6.8. if one of the numbers is multiplied by 3, the average of the numbers increases to 9.2. which of the 5 numbers is multiplied by 3?
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[Assistant] 6.0

[User]
( 3192 + 6160 ) / 28
Answer the question using a single word or phrase.

[Assistant] 334

[User]
a ferry can transport 100 tons of vehicles. automobiles range in weight from 1,800 to 3,200 pounds. what is the greatest number of automobiles that can be loaded onto the ferry?
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[Assistant] 110

[User]
when positive integer n is divided by positive integer j, the remainder is 25. if n / j = 204.05, what is value of j?
Answer the question using a single word or phrase.

[Assistant] 500


[User]
a, b, c subscribe rs. 50000 for a business. a subscribes rs. 4000 more than b and b rs. 5000 more than c. out of a total profit of rs. 30000, b receives :
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[Assistant] s. 10,200

[User]
a man swims downstream 48 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water?
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[Assistant] 11

[User]
if the population of a certain country increases at the rate of one person every 30 seconds, by how many persons does the population increase in 10 minutes?
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[Assistant] 20

[User]
a can complete a project in 20 days and b can complete the same project in 30 days. if a and b start working on the project together and b quits 15 days before the project is completed, in how many days total will the project be completed?
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[Assistant] 18

[User]
a meeting has to be conducted with 4 managers. find the number of ways in which the managers be selected from among 7 managers, if 2 managers will not attend the meeting together?
Answer the question using a single word or phrase.

[Assistant] 25


[User]
two trains each 150 m in length each, are running on two parallel lines in opposite directions. if one goes at the speed of 95 km / h while the other travels at 85 km / h. how long will it take for them to pass each other completely.
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[Assistant] 6 sec

[User]
p is 10 % more efficient than q. p can complete a work in 21 days. if p and q work together, how many days will it take to complete the same work?
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[Assistant] 11

[User]
the average weight of a, b and c is 44 kg. if the average weight of a and b be 40 kg and that of b and c be 43 kg, then the weight of b is :
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[Assistant] 28 kg

[User]
a, b, k start from the same place and travel in the same direction at speeds of 30 km / hr, 40 km / hr, 100 km / hr respectively. b starts two hours after a. if b and k overtake a at the same instant, how many hours after a did k start?
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[Assistant] 5.6

[User]
a shopkeeper bought 600 oranges and 400 bananas. he found 15 % of oranges and 4 % of bananas were rotten. find the percentage of fruits in good condition?
Answer the question using a single word or phrase.

[Assistant] 89.4 %


[User]
james took a 3 - hour bike ride. in the second hour he travlled 18 miles, which was 20 percent farther than he traveled the first hour. if he traveled 25 percent farther in the third hour than he did in the second hour, how many miles did jose travel during the entire ride?
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[Assistant] 55.5

[User]
by weight, liquid x makes up 2 percent of solution p and 7.5 percent of solution q. if 400 grams of solution p are mixed with 600 grams of solution q, then liquid x accounts for what percent of the weight of the resulting solution?
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[Assistant] 5.3 %

[User]
a train traveling at 216 kmph crosses a platform in 30 seconds and a man standing on the platform in 12 seconds. what is the length of the platform in meters?
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[Assistant] 720 meters

[User]
for my anniversary, i decided to surprise my wife. since she is a voracious reader, i decided to collect a lot of books for her. on the first day of the month, i bought one book, on the second, i bought two and on the third, i bought three. this process went on till the anniversary and on the day, i had 190 books with me to gift her. can you calculate, on which day is our anniversary?
Answer the question using a single word or phrase.

[Assistant] 19

[User]
at a tanning salon, customers are charged $ 10 for their first visit in a calendar month and $ 3 for each visit after that in the same calendar month. in the last calendar month, 100 customers visited the salon, of which 30 made a second visit, and 10 made a third visit. all other customers made only one visit. if those visits were the only source of revenue for the salon, what was the revenue for the last calendar month at the salon?
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[Assistant] $ 1120


[User]
0.9 * 0.007 =           _________
Answer the question using a single word or phrase.

[Assistant] 0.0063

[User]
a train passes a station platform in 31 sec and a man standing on the platform in 20 sec. if the speed of the train is 54 km / hr. what is the length of the platform?
Answer the question using a single word or phrase.

[Assistant] 165

[User]
the length of a rectangular garden is three times its width. if the area of the rectangular garden is 768 square meters, then what is the width of the rectangular garden?
Answer the question using a single word or phrase.

[Assistant] 16

[User]
mr. hernandez, who was a resident of state x for only 9 months last year, had a taxable income of $ 42,500 for the year. if the state tax rate were 4 percent of the year ’ s taxable income prorated for the proportion of the year during which the taxpayer was a resident, what would be the amount of mr. hernandez ’ s state x tax for last year?
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[Assistant] $ 1275

[User]
if a man lost 10 % by selling oranges at the rate of 10 a rupee at how many a rupee must he sell them to gain 50 %?
Answer the question using a single word or phrase.

[Assistant] 6


[User]
a candidate appearing for an examination has to secure 42 % marks to pass paper i. but he secured only 42 marks and failed by 22 marks. what is the maximum mark for paper i?
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[Assistant] 152

[User]
if ( - 3 ) ^ ( 2 x ) = 3 ^ ( 12 - x ) and x is an integer, what is the value of x?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
in a division sum, the divisor is 10 times the quotient and 5 times the remainder. if the remainder is 46, what is the dividend?
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[Assistant] 5336

[User]
find the perimeter and area of a square of side 11 cm.
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[Assistant] 121 cm ²

[User]
a company plans to gradually replace its fleet of 20 cars with newer models. at the end of every year starting with 2000 it retires 5 of its old cars and buys 6 new models. how many years did it take before the number of older cars left in the company's fleet was less than 50 percent of the fleet?
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[Assistant] 2


[User]
the ratio of radius of a circle and the side of a square is 2 : 3. find the ratio of their areas :
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[Assistant] 4 : 9

[User]
find the compound interest on $ 500 in 5 years at 5 % per annum, the interest being compounded yearly?
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[Assistant] $ 138.14

[User]
during 2003, a company produced an average of 1,000 products per month. how many products will the company need to produce from 2004 through 2007 in order to increase its monthly average for the period from 2003 through 2007 by 200 % over its 2003 average?
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[Assistant] 132,000

[User]
the sum of two numbers is 45. their difference is 5. the bigger number is
Answer the question using a single word or phrase.

[Assistant] 25

[User]
the present worth of rs. 338 due in 2 years at 4 % per annum compound interest is
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[Assistant] rs. 312.5


[User]
a merchant marks his goods up by 50 % and then offers a discount of 10 % on the marked price. what % profit does the merchant make after the discount?
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[Assistant] 35 %

[User]
i bought two books ; for rs. 460. i sold one at a loss of 15 % and other at a gain of 19 % and then i found each book was sold at the same price. find the cost of the book sold at a loss?
Answer the question using a single word or phrase.

[Assistant] 268.33

[User]
what is the least number of squares tiles required to pave the floor of a room 6 m 75 cm long and 4 m 5 cm broad?
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[Assistant] 15

[User]
in how many years will a sum of money doubles itself at 5 % per annum simple interest
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[Assistant] 20 years

[User]
for any positive integer n, the sum of the first n positive integers equals n ( n + 1 ) / 2. what is the sum of odd all the integers between 1 and 50?
Answer the question using a single word or phrase.

[Assistant] 625


[User]
if x = 6 ^ 36 and x ^ x = 6 ^ k, what is k?
Answer the question using a single word or phrase.

[Assistant] 6 ^ 38

[User]
a cylindrical can has a radius of 6 centimeters and a height of 12 centimeters. what is the area, in square centimeters, of a rectangular label that completely covers the curved surface of the can without over - lapping?
Answer the question using a single word or phrase.

[Assistant] 144 pi

[User]
a digital wristwatch was set accurately at 8.30 a. m and then lost 2 seconds every 5 minutes. what time was indicated on the watch at 6.30 p. m of the same day if the watch operated continuously that time?
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[Assistant] 6.26

[User]
what is the remainder of w = 3 ^ 19 when divided by 10?
Answer the question using a single word or phrase.

[Assistant] 7

[User]
a train 110 m long is running with a speed of 56 km / hr. in what time will it pass a man who is running at 6 km / hr in the direction opposite to that in which the train is going?
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[Assistant] 6.4


[User]
30 ^ 10 / 90 ^ 5 =?
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[Assistant] 10 ^ 5

[User]
the ratio of the areas of a square and rhombus whose base is same is :
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[Assistant] 1 : 1

[User]
a boat can travel with a speed of 25 km / hr in still water. if the speed of the stream is 5 km / hr, find the time taken by the boat to go 120 km downstream.
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[Assistant] 4 hrs

[User]
the banker â € ™ s gain on a sum due 3 years hence at 17 % per annum is rs. 100. the banker â € ™ s discount is
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[Assistant] rs. 296

[User]
an error 4 % in excess is made while measuring the side of a square. the percentage of error in the calculated area of the square is :
Answer the question using a single word or phrase.

[Assistant] 8.16


[User]
martin has to secure 80 % marks to clear his exam of class 9 th. he got 200 marks and failed by 200 marks. what is the maximum marks?
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[Assistant] 500

[User]
the length of each side of square a is increased by 100 percent to make square b. if the length of the side of square b is increased by 60 percent to make square c, by what percent is the area of square c greater than the sum of the areas of squares a and b?
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[Assistant] 104.8 %

[User]
find the perimeter and area of a square of side 15 cm.
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[Assistant] 225

[User]
what is the remainder when 980 * 1050 * 880 * 1010 is divided by 22?
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[Assistant] 12

[User]
a pizzeria in castroville creates its own special blend of shredded cheese at a cost of $ 696.05 per kilogram. the blend includes mozzarella, at $ 504.35 per kilogram, and romano cheese, at $ 887.75 per kilogram. if the employees have already shredded 19 kilograms of mozzarella cheese, how many kilograms of romano cheese will they need to shred now?
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[Assistant] 19 kg


[User]
product of two natural numbers is 17. then, the sum of reciprocals of their squares is
Answer the question using a single word or phrase.

[Assistant] 290 / 289

[User]
the perimeter of an isosceles right triangle is 10 + 10 sq rt 2. what is the length of the hypotenuse of the triangle?
Answer the question using a single word or phrase.

[Assistant] 7.07

[User]
the average of 10 numbers is 40.2. later it is found that two numbers have been wrongly copied. the first is 15 greater than the actual number and the second number added is 13 instead of 31. find the correct average.
Answer the question using a single word or phrase.

[Assistant] 40.5

[User]
a straight line in the xy - plane has a slope of 2 and a y - intercept of 2. on this line, what is the x - coordinate of the point whose y - coordinate is 998?
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[Assistant] 498

[User]
if two - third of a bucket is filled in 2 minutes then the time taken to fill the bucket completely will be.
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[Assistant] 3 minutes


[User]
if p gets 25 % more than q, then by what percent does q get less than p?
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[Assistant] 20

[User]
before 5 years, dog a ’ s age was 4 times of dog b ’ s age and after 4 years, dog a ’ s age will be 3 times of dog b ’ s age. what is the difference of dog a ’ s age and dog b ’ s now?
Answer the question using a single word or phrase.

[Assistant] 58

[User]
the number of people who purchased book a is twice the number of people who purchased book b. the number of people who purchased both books a and b is 500, which is twice the number of people who purchased only book b. what is the number of people b who purchased only book a?
Answer the question using a single word or phrase.

[Assistant] 1000

[User]
of 70 players on a football team, 37 are throwers. the rest of the team is divided so one third are left - handed and the rest are right handed. assuming that all throwers are right handed, how many right - handed players are there total?
Answer the question using a single word or phrase.

[Assistant] 59

[User]
paul's income is 40 % less than rex's income, quentin's income is 20 % less than paul's income, and sam's income is 40 % less than paul's income. if rex gave 60 % of his income to sam and 40 % of his income to quentin, sam's new income would be what fraction of quentin's new income?
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[Assistant] 12 / 11


[User]
how many integers k greater than 100 and less than 900 are there such that if the hundreds and the unit digits of k are reversed, the resulting integer is k + 99?
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[Assistant] 70

[User]
there are 200 female managers in a certain company. find the total number of female employees q in the company, if 2 / 5 of all the employees are managers and 2 / 5 of all male employees are managers.
Answer the question using a single word or phrase.

[Assistant] q = 500

[User]
john invests $ x at the semi - annual constant compounded rate of 2 percent and also does $ 8,000 at the quarterly constant compounded rate of 4 percent. if the interests are the same after 1 year, what is the value of x??
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[Assistant] 16160.8

[User]
if the sum of two numbers is 24 and the sum of their squares is 404, then the product of the numbers is
Answer the question using a single word or phrase.

[Assistant] 86

[User]
product of two natural numbers is 3. then, the sum of reciprocals of their squares is
Answer the question using a single word or phrase.

[Assistant] 10 / 9


[User]
if the least common multiple of two prime numbers x and y is 10, where x > y, then the value of 2 x + y is
Answer the question using a single word or phrase.

[Assistant] 12

[User]
if the cost price is 96 % of selling price then what is the profit percentage.
Answer the question using a single word or phrase.

[Assistant] 4.17

[User]
ratio between rahul and deepak is 4 : 3, after 6 years rahul age will be 50 years. what is deepak present age
Answer the question using a single word or phrase.

[Assistant] 33

[User]
if x ^ 3 is divisible by 240 what is the least possible value of integer x?
Answer the question using a single word or phrase.

[Assistant] 60

[User]
a man buys a cycle for rs. 1750 and sells it at a loss of 8 %. what is the selling price of the cycle?
Answer the question using a single word or phrase.

[Assistant] s. 1610


[User]
in a can, there is a mixture of milk and water in the ratio 4 : 5. if it is filled with an additional 12 litres of milk the can would be full and ratio of milk and water would become 6 : 5. find the capacity of the can?
Answer the question using a single word or phrase.

[Assistant] 66

[User]
a metallic sheet is of rectangular shape with dimensions 100 m x 50 m. from each of its corners, a square is cut off so as to make an open box. if the length of the square is 10 m, the volume of the box ( in m cube ) is :
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[Assistant] 24000 m cube

[User]
a rope of which a calf is tied is increased from 5 m to 9 m, how much additional grassy ground shall it graze?
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[Assistant] 176

[User]
if the number of white balls in a box are 6 times the black balls, which of the below is the total number of balls, if there are 8 black balls in the box?
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[Assistant] a - 56

[User]
a trader marked the selling price of an article at 50 % above the cost price. at the time of selling, he allows certain discount and suffers a loss of 1 %. he allowed a discount of :
Answer the question using a single word or phrase.

[Assistant] 7.3 %


[User]
45 % of 750 - 25 % of 480 =?
Answer the question using a single word or phrase.

[Assistant] 217.5

[User]
among all sales staff at listco corporation, college graduates and those without college degrees are equally represented. each sales staff member is either a level - 1 or level - 2 employee. level - 1 college graduates account for 15 % of listco's sales staff. listco employs 90 level - 1 employees, 30 of whom are college graduates. how many sales staff members without college degrees are level - 2 employees?
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[Assistant] 40

[User]
how many of the positive divisors of 120 are also multiples of 4 not including 120?
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[Assistant] 5.

[User]
the sale price sarees listed for rs. 400 after successive discount is 15 % and 5 % is?
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[Assistant] 323

[User]
efrida and frazer who live 15 miles apart, meet at a restaurant that is directly north of efrida's home and directly east of frazer's home. if the restaurant is two miles closer to efrida's home, than to frazer's home, how many miles is the restaurant from frazer's home?
Answer the question using a single word or phrase.

[Assistant] 13


[User]
the sum of two consecutive integers is 15. find the numbers.
Answer the question using a single word or phrase.

[Assistant] 7, 8

[User]
a and b are two partially filled buckets of water. if 3 liters are transferred from a to b, then a would contain one - third of the amount of water in b. alternatively, if 5 liters are transferred from b to a, b would contain one - half of the amount of water in a. bucket a contains how many liters of water?
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[Assistant] 39 / 5

[User]
a space shuttle orbits the earth at about 2 kilometers per second. this speed is equal to how many kilometers per hour?
Answer the question using a single word or phrase.

[Assistant] 7,200

[User]
a train 220 m long is running with a speed of 59 kmph.. in what will it pass a man who is running at 7 kmph in the direction opposite to that in which the train is going
Answer the question using a single word or phrase.

[Assistant] 12 sec

[User]
each week, harry is paid x dollars per hour for the first 35 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] 34


[User]
in what time will a railway train 80 m long moving at the rate of 36 kmph pass a telegraph post on its way?
Answer the question using a single word or phrase.

[Assistant] 8 sec

[User]
jaclyn buys $ 30 000 worth of debentures in a company. she earns 9.5 % p. a. simple interest, paid to her quarterly ( that is, every 3 months ). if the agreed period of the debenture was 18 months : calculate the amount of interest jaclyn will earn for each quarter
Answer the question using a single word or phrase.

[Assistant] 712.5

[User]
the average of 6 observations is 12. a new seventh observation is included and the new average is decreased by 1. the seventh observation is :
Answer the question using a single word or phrase.

[Assistant] 5

[User]
for a certain art exhibit, a museum sold admission tickets to a group of 30 people every 5 minutes from 9 : 00 in the morning to 5 : 55 in the afternoon, inclusive. the price of a regular admission ticket was $ 10 and the price of a student ticket was $ 5. if on one day 3 times as many regular admission tickets were sold as student tickets, what was the total revenue from ticket sales that day?
Answer the question using a single word or phrase.

[Assistant] $ 28350

[User]
how many factors of 880 are odd numbers greater than 1?
Answer the question using a single word or phrase.

[Assistant] 3


[User]
p alone can complete a job in 6 days. the work done by q alone in one day is equal to one - fifth of the work done by p alone in one day. in how many days can the work be completed if p and q work together?
Answer the question using a single word or phrase.

[Assistant] 5

[User]
60 % of a number is added to 150, the result is the same number. find the number?
Answer the question using a single word or phrase.

[Assistant] 375

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

[Assistant] 36

[User]
what is the smallest integer that is multiple of 87 and 20
Answer the question using a single word or phrase.

[Assistant] 280

[User]
two employees x and y are paid a total of rs. 600 per week by their employer. if x is paid 120 percent of the sum paid to y, how much is y paid per week?
Answer the question using a single word or phrase.

[Assistant] s. 272.72


[User]
a reduction of 20 % in the price of oil enables a house wife to obtain 5 kgs more for rs. 800, what is the reduced price for kg?
Answer the question using a single word or phrase.

[Assistant] s. 32

[User]
mary's income is 40 percent more than tim's income, and tim's income is 40 percent less than juan's income. what percent of juan's income is mary's income?
Answer the question using a single word or phrase.

[Assistant] 84 %

[User]
kim has 40 percent more money than sal and sal has 20 percent less money than phil. if sal and phil have a combined total of $ 1.80, how much money does kim have?
Answer the question using a single word or phrase.

[Assistant] $ 1.12

[User]
a gambler bought $ 3,000 worth of chips at a casino in denominations of $ 20 and $ 100. that evening, the gambler lost 14 chips, and then cashed in the remainder. if the number of $ 20 chips lost was 2 more or 2 less than the number of $ 100 chips lost, what is the largest amount of money that the gambler could have received back?
Answer the question using a single word or phrase.

[Assistant] $ 2,240

[User]
a dress on sale in a shop is marked at $ d. during the discount sale its price is reduced by 35 %. staff are allowed a further 30 % reduction on the discounted price. if a staff member buys the dress what will she have to pay in terms of d?
Answer the question using a single word or phrase.

[Assistant] 0.455 d


[User]
the number of boxes in a warehouse can be divided evenly into 6 equal shipments by boat or 28 equal shipments by truck. what is the smallest number of boxes that could be in the warehouse?
Answer the question using a single word or phrase.

[Assistant] 84

[User]
if k ^ 3 is divisible by 336, what is the least possible value of integer k?
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[Assistant] 84

[User]
there are 6 boxes numbered 1, 2,... 6. each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. the total number of ways in which this can be done is
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[Assistant] 21

[User]
rs. 500 amounts to rs. 670 in 5 years at simple interest. if the interest is increased by 2 %, it would amount to how much?
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[Assistant] 550

[User]
the lcm and hcf of two numbers are 10000 and 1000 respectively. find the larger of the two numbers if their sum is 11000.
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[Assistant] 10000


[User]
a cistern can be filled by a tap in 3 hours while it can be emptied by another tap in 10 hours. if both the taps are opened simultaneously, then after how much time will the cistern get filled?
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[Assistant] 4.3 hrs

[User]
a software engineer starts from home at 3 pm for every walk on a route which has level road for some distance and a then a hillock. he walks speed of 4 kmph on level ground and then at a speed of 3 kmph on the uphill and then down the hill at a speed of 6 kmph to the level ground and then at a speed of 4 kmph to the home if he reaches home at 9 pm. what is the distance one way of his route?
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[Assistant] 12 km

[User]
a box contains either blue or red flags. the total number of flags in the box is an even number. a group of children are asked to pick up two flags each. if all the flags are used up in the process such that 60 % of the children have blue flags, and 60 % have red flags, what percentage of children have flags of both the colors?
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[Assistant] 20 %

[User]
there are 30 balls which are red, blue or green. if 11 balls are green and the sum of red balls and green balls is less than 25, at most how many red balls are there?
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[Assistant] 13

[User]
the radius of a wheel is 22.4 cm. what is the distance covered by the wheel in making 3000 resolutions?
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[Assistant] 4224 m


[User]
what is the value of 3 x ^ 2 − 1.6 x + 0.3 for x = 0.8?
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[Assistant] 0.94

[User]
in a school of 900 students, 44 % wear blue shirts, 28 % wear red shirts, 10 % wear green shirts, and the remaining students wear other colors. how many students wear other colors ( not blue, not red, not green )?
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[Assistant] 162

[User]
if c is 14 % of a and 40 % of b, what percent of a is b?
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[Assistant] 35 %

[User]
a new tower has just been built at the verbico military hospital ; the number of beds available for patients at the hospital is now 2 times the number available before the new tower was built. currently, 1 / 3 of the hospital's original beds, as well as 1 / 5 of the beds in the new tower, are occupied. for the purposes of renovating the hospital's original wing, all of the patients in the hospital's original beds must be transferred to beds in the new tower. if patients are neither admitted nor discharged during the transfer, what fraction of the beds in the new tower will be unoccupied once the transfer is complete?
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[Assistant] 7 / 15

[User]
cricket match is conducted in us. the run rate of a cricket game was only 3.2 in first 10 over. what should be the run rate in the remaining 40 overs to reach the target of 222 runs?
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[Assistant] 4.75


[User]
if the sum of a number and its square is 342, what is the number?
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[Assistant] 18

[User]
the arithmetic mean and standard deviation of a certain normal distribution are 16.2 and 2.3, respectively. what value is exactly 2 standard deviations less than the mean?
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[Assistant] 11.6

[User]
a baker makes chocolate cookies and peanut cookies. his recipes allow him to make chocolate cookie in batches of 7 and peanut cookies in batches of 6. if he makes exactly 99 cookies, what is the minimum number of chocolate chip cookies he makes?
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[Assistant] 21

[User]
p and q started a business investing rs. 85,000 and rs. 25,000 respectively. in what ratio the profit earned after 2 years be divided between p and q respectively?
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[Assistant] 17 : 5

[User]
a shopkeeper has 280 kg of apples. he sells 40 % of these at 10 % profit and remaining 60 % at 30 % profit. find his % profit on total.
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[Assistant] 22 %


[User]
the simple interest on a sum of money will be rs. 600 after 10 years. if the principal is trebled after 5 years, what will be the total interest at the end of the tenth year?
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[Assistant] 1200 rupees

[User]
we define that k @ j is the product of j number from k in increasing order for positive integers k, j. for example, 6 @ 4 = 6 * 7 * 8 * 9. if a = 2020 and b = 2120, what is the value w of the ratio a / b?
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[Assistant] 1 / 2

[User]
out of 3 consecutive odd numbers 8 times the first number is equal to addition of thrice the third number and adding 5 to twice the second. what is the first number?
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[Assistant] 7

[User]
a train running at the speed of 60 km / hr crosses a pole in 30 sec. what is the length of the train?
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[Assistant] 500 m

[User]
a, b, c, d and e are 5 consecutive points on a straight line. if bc = 3 cd, de = 8, ab = 5 and ac = 11, what is the length of ae?
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[Assistant] 21


[User]
what is the smallest number which when increased by 3 is divisible by 9, 35, 25 and 21?
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[Assistant] 1572

[User]
if | r + s | = | r - s |, then r * s must be equal to :
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[Assistant] 0

[User]
8 cups of milk are to be poured into a 4 - cup bottle and a 8 - cup bottle. if each bottle is to be filled to the same fraction of its capacity, how many cups of milk should be poured into the 8 - cup bottle?
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[Assistant] 16 / 3

[User]
there are some people in party, 1 / 3 rd left the party. then 2 / 5 th of the remaining left the party, then 2 / 3 rd of the remaining left the party. at last 6 were remaining. how many people were in total?
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[Assistant] 45

[User]
in what ratio must tea at rs. 62 per kg be mixed with tea at rs. 72 per kg so that the mixture must be worth rs. 67 per kg?
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[Assistant] 1 : 1


[User]
a 8 % stock yielding 10 % is quoted at :
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[Assistant] 80

[User]
if it is assumed that 50 percent of those who receive a questionnaire by mail will respond and 300 responses are needed, what is the minimum number of questionnaires that should be mailed?
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[Assistant] 600

[User]
an error 8 % in excess is made while measuring the side of a square. now what is the percentage of error in the calculated area of the square?
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[Assistant] 16.64 %

[User]
the average age of 15 students of a class is 15 years. out of these, the average age of 7 students is 14 years and that of the other 7 students is 16 years. the age of the 15 th student is
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[Assistant] 15 years

[User]
car a travels at 3 times the average speed of car b. car a started to travel at 12 : 00 o'clock, car b started to travel at 16 : 00 o'clock. what is the speed of car b ( in km / h ) if the total distance that both cars traveled until 18 : 00 was 1000 km?
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[Assistant] 50.


[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. 931. find the cost of each ice - cream cup?
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[Assistant] 20

[User]
the average weight of 10 men is increased by 2 ½ kg when one of the men who weighs 68 kg is replaced by a new man. what is the weight of the new man?
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[Assistant] 93 kg

[User]
in a certain company, a third of the workers do not have a retirement plan. 20 % of the workers who do not have a retirement plan are women, and 40 % of the workers who do have a retirement plan are men. if 176 of the workers of that company are men, how many of the workers are women?
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[Assistant] 154

[User]
elena ’ s bread recipe calls for 3 ounces of butter for each 4 cups of flour used. she needs to make 6 times the original recipe. if 12 ounces of butter is used, then how many cups of flour are needed?
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[Assistant] 24

[User]
suganya and suriya are partners in a business. suganya invests rs. 35,000 for 8 months and suriya invests rs. 42,000 for 10 months. out of a profit of rs. 30,570. suganya's share is
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[Assistant] rs. 241.7