[User]
a space shuttle orbits the earth at about 9 kilometers per second. this speed is equal to how many kilometers per hour?
Answer the question using a single word or phrase.

[Assistant] 32,400

[User]
7 liters of a 22 percent solution of alcohol in water are mixed with 3 liters of an 11 percent alcohol in water solution. what is the percentage of alcohol in the new solution?
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[Assistant] 18.7 %

[User]
a cricketer scored 136 runs which included 12 boundaries and 2 sixes. what percent of his total score did he make by running between the wickets.
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[Assistant] 55.88 %

[User]
by investing in 1623 % stock at 64, one earns rs. 1700. the investment made is
Answer the question using a single word or phrase.

[Assistant] s. 6528

[User]
for any integer k greater than 1, the symbol k * denotes the product of all integers between 1 and k, inclusive. if k * is a multiple of 945 what is the least possible value of k?
Answer the question using a single word or phrase.

[Assistant] 9


[User]
if ( 18 ^ a ) * 9 ^ ( 3 a – 1 ) = ( 2 ^ 2 ) ( 3 ^ b ) and a and b are positive integers, what is the value of a?
Answer the question using a single word or phrase.

[Assistant] 2

[User]
there are 6 people in the elevator. their average weight is 160 lbs. another person enters the elevator, and increases the average weight to 151 lbs. what is the weight of the 7 th person.
Answer the question using a single word or phrase.

[Assistant] 97

[User]
what least fraction should be added to 1 / ( 2 × 3 ) + 1 / ( 3 × 4 ) + 1 / ( 4 × 5 ) +....... + 1 / ( 21 × 22 ) so that the result is unity?
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[Assistant] 6 / 11

[User]
how many positive integers less than 160 are there such that they are multiples of 13 or multiples of 12 but not both?
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[Assistant] 23

[User]
24 * 22 =? / 8
Answer the question using a single word or phrase.

[Assistant] 4224


[User]
the area of a circular field is 13.86 hectares. find the cost of fencing it at the rate of rs. 4.70 per metre.
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[Assistant] 6204

[User]
if x / 4 + 24 / x = 5, what are the values of 4 x - 7?
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[Assistant] 25 and 41

[User]
a room is 6 meters 72 centimeters in length and 4 meters 32 centimeters in width. find the least number of square tiles of equal size required to cover the entire floor of the room.
Answer the question using a single word or phrase.

[Assistant] 126

[User]
a bottle contains a certain solution. in the bottled solution, the ratio of water to soap is 3 : 4, and the ratio of soap to salt is four times this ratio. the solution is poured into an open container, and after some time, the ratio of water to soap in the open container is halved by water evaporation. at that time, what is the ratio of water to salt in the solution?
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[Assistant] 3 : 12

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


[User]
if x is a positive integer with fewer than 3 digits, what is the probability q that x * ( x + 1 ) is a multiple of either 4 or 5?
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[Assistant] 86 / 99

[User]
by weight, liquid x makes up 0.8 percent of solution a and 1.8 percent of solution b. if 200 grams of solution a are mixed with 700 grams of solution b, then liquid x accounts for what percent of the weight of the resulting solution?
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[Assistant] 1.42 %

[User]
the s. i. on a certain sum of money for 3 years at 5 % per annum is half the c. i. on rs. 4000 for 2 years at 10 % per annum. the sum placed on s. i. is?
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[Assistant] 2800

[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 sec

[User]
if a fraction is multiplied by itself and then divided by the reciprocal of the same fraction, the result is 18 26 / 27. find the fraction.
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[Assistant] 2 2 / 3


[User]
two trains of length 100 meters and 200 meters are 630 meters apart. they are moving towards each other on parallel tracks, at speeds of 90 km / h and 72 km / h. after how many seconds will the trains meet?
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[Assistant] 14

[User]
a can do a job in 15 days and b can do it in 30 days. a and b working together will finish twice the amount of work in days?
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[Assistant] 20

[User]
find the value of y from ( 12 ) ^ 3 x 6 ^ 4 ÷ 432 = y?
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[Assistant] 5184

[User]
in a graduating class, 40 percent of the students are male. in this class, 60 percent of the male students and 40 percent of the female students are 25 years old or older. if one student in the class is randomly selected, approximately what is the probability that he or she will be less than 25 years old?
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[Assistant] 0.52

[User]
the length of the bridge, which a train 130 metres long and travelling at 45 km / hr can cross in 30 seconds, is?
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[Assistant] 88


[User]
at a tanning salon, customers are charged $ 10 for their first visit in a calendar month and $ 8 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] $ 1240

[User]
if n is a positive integer, what is the remainder when ( 7 ^ ( 4 n + 2 ) ) ( 6 ^ n ) is divided by 10?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
audrey 4 hours to complete a certain job. ferris can do the same job in 3 hours. audrey and ferris decided to collaborate on the job, working at their respective rates. while audrey worked continuously, ferris took 1 breaks of equal length. if the two completed the job together in 2 hours, how many minutes long was each of ferris ’ breaks?
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[Assistant] 30

[User]
sahil purchased a machine at rs 11000, then got it repaired at rs 5000, then gave its transportation charges rs 1000. then he sold it with 50 % of profit. at what price he actually sold it.
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[Assistant] rs. 25500

[User]
a boat can travel with a speed of 16 km / hr in still water. if the speed of the stream is 4 km / hr, find the time taken by the boat to go 60 km downstream.
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[Assistant] 3 hours.


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

[Assistant] 20

[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 16 - meter platform and caught it after it had traveled 46.5 meters. how many times did the ball bounce?
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[Assistant] 5

[User]
6000 - 5000 ÷ 20.00 =?
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[Assistant] 5750

[User]
mahesh can do a piece of work in 50 days. he works at it for 20 days and then rajesh finished it in 30 days. how long will y take to complete the work?
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[Assistant] 50

[User]
a baker makes chocolate cookies and peanut cookies. his recipes allow him to make chocolate cookie in batches of 5 and peanut cookies in batches of 6. if he makes exactly 94 cookies, what is the minimum number of chocolate chip cookies he makes?
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[Assistant] 40


[User]
when y is divided by 264, the remainder is 42. what is the remainder when the same y is divided by 22?
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[Assistant] 20

[User]
if x < y < z and y - x > 1, where x is an even integer and y and z are odd integers, what is the least possible value of z - x?
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[Assistant] 3

[User]
a 12 % stock yielding 8 % is quoted at?
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[Assistant] 150

[User]
the toll for crossing a certain bridge is $ 0.75 each crossing. drivers who frequently use the bridge may instead purchase a sticker each month for $ 13.00 and then pay only $ 0.10 each crossing during that month. if a particular driver will cross the bridge twice on each of x days next month and will not cross the bridge on any other day, what is the least value of x for which this driver can save money by using the sticker?
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[Assistant] 12

[User]
9 people are planning to share equally the cost of a rental van. if one person withdraws from the arrangement and the others share equally the cost of the rental van, then the share of each of the remaining people will increase by...?
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[Assistant] 1 / 8


[User]
what will be the percentage increase in the area of the cube's surface if each of the cube's edges grows by 50 %?
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[Assistant] 125 %

[User]
there is a 5 % chance that tigers will not win at all during the whole season. there is a 5 % chance that federer will not play at all in the whole season. what is the greatest possible probability that the tigers will win and federer will play during the season?
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[Assistant] 95 %

[User]
at a florist shop on a certain day, all corsages sold for either $ 25 or $ 40. if 8 of the corsages that sold for $ 30 had instead sold for $ 20, then the store's revenue from corsages that day would have been reduced by 40 percent. what was the store's actual revenue from corsages that day?
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[Assistant] $ 300

[User]
in an election between two candidates, the first candidate got 60 % of the votes and the second candidate got 480 votes. what was the total number of votes?
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[Assistant] 1200

[User]
a jogger running at 9 km / hr along side a railway track is 260 m ahead of the engine of a 120 m long train running at 45 km / hr in the same direction. in how much time will the train pass the jogger?
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[Assistant] 38 sec


[User]
pipe a that can fill a tank in an hour and pipe b that can fill the tank in 15 are opened simultaneously when the tank is empty. pipe b is shut 15 minutes before the tank overflows. when will the tank overflow?
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[Assistant] 30 mins

[User]
john has exactly 31 pens, and each pen is either bule, black, or red. if he has 5 more black pens than red pens, and twice as many blue pens as black pens, how many blue pens does john has?
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[Assistant] 18

[User]
what is the average ( arithmetic mean ) of the numbers 5, 6, 7, 7, 8, and 9?
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[Assistant] 7

[User]
the average monthly salary of 20 employees in an organisation is rs. 1500. if the manager's salary is added, then the average salary increases by rs. 500. what is the manager's monthly salary?
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[Assistant] rs. 12000

[User]
a rectangular tiled patio is composed of 50 square tiles. the rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles. after the change in layout, the patio will still have 50 tiles, and it will still be rectangular. how many rows are in the tile patio before the change in layout?
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[Assistant] 6


[User]
the tax on a commodity is diminished by 20 % but its consumption is increased by 15 %. find the decrease percent in the revenue derived from it?
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[Assistant] 8 %

[User]
the number of stamps that kaye and alberto had were in the ration of 5 : 3 respectively. after kaye gave alberto 15 of her stamps, the ration of the number of kaye had to the number of alberto had was 4 : 3. as a result of the gift, kaye had how many more stamps than alberto?
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[Assistant] 70

[User]
find the area of a parallelogram with base 24 cm and height 10 cm?
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[Assistant] 240 cm 2

[User]
what is the unit digit in 7 ^ 100?
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[Assistant] 1

[User]
beginning in town a, biker bob rides his bike 8 miles west, 5 miles north, 4 miles east, and then 15 miles north, to town b. how far apart are town a and town b? ( ignore the curvature of the earth. )
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[Assistant] 20.4 miles


[User]
a rectangular field is to be fenced on three sides leaving a side of 40 feet uncovered. if the area of the field is 680 sq. ft, how many feet of fencing will be required?
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[Assistant] 74 ft

[User]
in a school with 5 classes, each class has 2 students less than the previous class. how many students are there in the largest class if the total number of students at school is 140?
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[Assistant] 32

[User]
a chemical supply company has 60 liters of a 45 % hno 3 solution. how many liters of pure undiluted hno 3 must the chemists add so that the resultant solution is a 50 % solution?
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[Assistant] 6

[User]
a furniture store owner decided to drop the price of her recliners by 20 % to spur business. by the end of the week she had sold 40 % more recliners. what is the percentage increase of the gross?
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[Assistant] 11.2 %

[User]
company c produces toy trucks at a cost of $ 5.00 each for the first 100 trucks and $ 3.50 for each additional truck. if 500 toy trucks were produced by company c and sold for $ 8.00 each, what was company c ’ s gross profit?
Answer the question using a single word or phrase.

[Assistant] $ 2,100


[User]
rs 50000 is divided into two parts one part is given to a person with 10 % interest and another part is given to a person with 20 % interest. at the end of first year he gets profit 7000 find money given by 10 %?
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[Assistant] 30000

[User]
excluding stoppages, the average speed of a bus is 60 km / hr and including stoppages, the average speed of the bus is 20 km / hr. for how many minutes does the bus stop per hour?
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[Assistant] 40

[User]
find the remainder when 2 ^ 31 is divided by 5.
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[Assistant] 3

[User]
laxmi and prasanna set on a journey. laxmi moves northwards at a speed of 25 kmph and prasanna moves southward at a speed of 35 kmph. how far will be prasanna from laxmi after 60 minutes?
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[Assistant] 60

[User]
john was thrice as old as tom 6 years ago. john will be 15 / 13 times as old as tom in 6 years. how old is tom today?
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[Assistant] 7


[User]
if the 5 th date of a month is tuesday, what date will be 3 days after the 3 rd friday in the month?
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[Assistant] 18

[User]
30 % of a number is more than 60 % of 150 by 120. find the number?
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[Assistant] 700

[User]
given f ( x ) = 3 x – 5, for what value of x does 2 * [ f ( x ) ] + 5 = f ( 3 x – 6 )
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[Assistant] 6

[User]
one day a car rental agency rented 3 / 4 of its cars, including 2 / 3 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] 4 / 5

[User]
a train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. its length is?
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[Assistant] 150


[User]
an investor deposited $ 5,000 to open a new savings account that earned 12 percent annual interest, compounded quarterly. if there were no other transactions in the account, what was the amount of money in the account 6 months after the account was opened?
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[Assistant] $ 5304.50

[User]
a and b can do a work in 8 days, b and c can do the same work in 12 days. a, b and c together can finish it in 6 days. a and c together will do it in?
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[Assistant] 8

[User]
how many 4 - digit numbers are there such that all 3 digits are different and the first digit and last digit is not zero?
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[Assistant] 5184

[User]
the digital sum of a number is the sum of its digits. for how many of the positive integers 24 - 80 inclusive is the digital sum a multiple of 7?
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[Assistant] 9

[User]
32 = a + 2 b | a | > 2 if ‘ a ’ and ‘ b ’ are both integers, then what is the smallest possible values of ‘ a ’ that can be used to solve the above equation.
Answer the question using a single word or phrase.

[Assistant] 4


[User]
a salesman's income consists of a commission and a base salary of $ 350 per week. over the past 5 weeks, his weekly income totals have been $ 406, $ 413, $ 420, $ 436 and $ 495. 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] $ 315

[User]
at company x, senior sales representatives visit the home office once every 15 days, and junior sales representatives visit the home office once every 10 days. the number of visits that a junior sales representative makes in a 2 - year period is approximately what percent greater than the number of visits that a senior representative makes in the same period?
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[Assistant] 50 %

[User]
two assembly line inspectors, lauren and steven, inspect widgets as they come off the assembly line. if lauren inspects every fifth widget, starting with the fifth, and steven inspects every third, starting with the third, how many of the 99 widgets produced in the first hour of operation are not inspected by either inspector?
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[Assistant] 55

[User]
the guests at a football banquet consumed a total of 411 pounds of food. if no individual guest consumed more than 2.5 pounds of food, what is the minimum number of guests that could have attended the banquet?
Answer the question using a single word or phrase.

[Assistant] 165

[User]
in an institute, 60 % of the students are boys and the rest are girls. further 15 % of the boys and 7.5 % of the girls are getting a fee waiver. if the number of those getting a fee waiver is 90, find the total number of students getting 50 % concessions if it is given that 50 % of those not getting a fee waiver are eligible to get half fee concession?
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[Assistant] 330


[User]
if n = 2 ^ 0.15 and n ^ b = 64, b must equal
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[Assistant] 40

[User]
each of the 9 squares shown is to contain one number chosen from 1, 2, 3, 4, 5, 6, 7, 8, and 9. no number is to be repeated. suppose the sum of the 5 squares aligned vertically on the right is 32 and that the sum of the 5 squares aligned horizontally on the bottom is 20. what number goes in the shared corner square?
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[Assistant] 7

[User]
in an electric circuit, two resistors with resistances x and y are connected in parallel. if r is the combined resistance of these two resistors, then the reciprocal of r is equal to the sum of the reciprocals of x and y. what is r if x is 5 ohms and y is 7 ohms?
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[Assistant] 35 / 12

[User]
a envelop weight 8.5 gm, if 850 of these envelop are sent with an advertisement mail. how much wieght?
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[Assistant] 7.225 kg

[User]
a can give b 90 meters start and c 200 meters start in a kilometer race. how much start can b give c in a kilometer race?
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[Assistant] 120.88


[User]
a man buys 12 lts of liquid which contains 10 % of the liquid and the rest is water. he then mixes it with 10 lts of another mixture with 30 % of liquid. what is the % of water in the new mixture?
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[Assistant] 80.91

[User]
a jar contains 6 black and 2 white balls. if you pick two balls at the same time, what's the probability that one ball is black and one is white?
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[Assistant] 3 / 14

[User]
if a car had traveled 10 kmh faster than it actually did, the trip would have lasted 30 minutes less. if the car went exactly 30 km, at what speed did it travel?
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[Assistant] 20 kmh

[User]
a man is 28 years older than his son. in two years, his age will be twice the age of his son. what is the present age of his son?
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[Assistant] 26 years

[User]
how many numbers from 10 to 100 are exactly divisible by 9?
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[Assistant] 10


[User]
what is the units digit of the expression 7 ^ 75 + 6?
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[Assistant] 9

[User]
a certain list consists of 21 different numbers. if n is in the list and n is 8 times the average ( arithmetic mean ) of the other 20 numbers in the list, then n is what fraction of the sum of the 21 numbers in the list?
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[Assistant] 2 / 7

[User]
two tains of equal lengths take 10 seconds and 12 seconds respectively to cross a telegraph post. if the length of each train be 120 metres, in what time ( in seconds ) will they cross each other travelling in opposite direction?
Answer the question using a single word or phrase.

[Assistant] 10.9

[User]
108. triangle a ’ s base is 8 % greater than the base of triangle b, and a ’ s height is 8 % less than the height of triangle b. the area of triangle a is what percent less or more than the area of triangle b?
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[Assistant] 1.6 % more

[User]
an agent, gets a commission of 4 % on the sales of cloth. if on a certain day, he gets rs. 12.50 as commission, the cloth sold through him on that day is worth
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[Assistant] 312


[User]
compare the rates of two trains, one travelling at 45 km / hr and other is at 10 m / s?
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[Assistant] 5 : 4

[User]
a scuba diver descends at a rate of 32 feet per minute. a diver dive from a ship to search for a lost ship at the depth of 6400 feet below the sea level.. how long will he take to reach the ship?
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[Assistant] 200 minutes

[User]
a clock shows the time as 9 a. m. if the minute hand gains 5 minutes every hour, how many minutes will the clock gain by 6 p. m.?
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[Assistant] 45 min

[User]
three numbers are in the ratio of 2 : 3 : 4 and their l. c. m. is 300. what is their h. c. f.?
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[Assistant] 25

[User]
for what values of k will the pair of equations 3 x + 4 y = 12 and ( kx + 12 y ) / 2 = 15 does not have a unique solution?
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[Assistant] 9


[User]
what will be the compound interest on a sum of rs. 30,000 after 3 years at the rate of 12 % p. a.?
Answer the question using a single word or phrase.

[Assistant] s : 12147.84

[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 65 % have red flags, what percentage of children have flags of both the colors?
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[Assistant] 25 %

[User]
how many multiples of 6 are less than 3600, and also multiples of 36?
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[Assistant] 100

[User]
17 times a positive integer is more than its square by 70, then the positive integer is
Answer the question using a single word or phrase.

[Assistant] 10

[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 80 % profit?
Answer the question using a single word or phrase.

[Assistant] 1152


[User]
find the distance covered by a man walking for 30 min at a speed of 5 km / hr?
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[Assistant] 2.5 km

[User]
dacid obtained 96, 95, 82, 87 and 92 marks ( out of 100 ) in english, mathematics, physics, chemistry and biology. what are his average marks?
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[Assistant] 90

[User]
a person can row at 10 kmph in still water. if the velocity of the current is 2 kmph and it takes him 15 hour to row to a place and come back, how far is the place?
Answer the question using a single word or phrase.

[Assistant] 72 km

[User]
of the 80 people in a room, 2 / 5 are women. if 1 / 2 of the people are married, what is the maximum number of women in the room who could be unmarried?
Answer the question using a single word or phrase.

[Assistant] 32

[User]
the value of x. 1234 - x = 4234 - 3361
Answer the question using a single word or phrase.

[Assistant] 361


[User]
in a group of ducks and cows, the total number of legs are 32 more than twice the no. of heads. find the total no. of buffaloes.
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[Assistant] 16

[User]
two pipes a and b can fill a tank in 24 hours and 36 hours respectively. if both the pipes are opened simultaneously, how much time will be taken to fill the tank?
Answer the question using a single word or phrase.

[Assistant] 14 2 / 5 hours

[User]
maxwell leaves his home and walks toward brad's house at the same time that brad leaves his home and runs toward maxwell's house. if the distance between their homes is 20 kilometers, maxwell's walking speed is 4 km / h, and brad's running speed is 6 km / h, what is the distance traveled by brad?
Answer the question using a single word or phrase.

[Assistant] 12

[User]
in 1 kg mixture of iron and manganese 20 % of manganese. how much iron should be added so that the proportion of manganese becomes 10 %
Answer the question using a single word or phrase.

[Assistant] 1 kg

[User]
a recipe requires 2 1 / 2 ( mixed number ) cups of flour 2 3 / 4 ( mixed number ) cups of sugar and 1 1 / 3 ( mixed number ) cups of milk to make one cake. victor has 15 cups if flour, 16 cups of sugar and 8 cups of milk. what is the greatest number of cakes john can make using this recipe?
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[Assistant] 5


[User]
a meal cost $ 36.50 and there was no tax. if the tip was more than 10 pc but less than 15 pc of the price, then the total amount paid should be :
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[Assistant] 40 - 42

[User]
imagine an analog clock set to 12 o'clock. note that the hour and minute hands overlap. how many times each day do both the hour and minute hands overlap? how would you determine the exact times of the day that this occurs?
Answer the question using a single word or phrase.

[Assistant] 22

[User]
a basketball is dropped from a height of 30 feet. if it bounces back up to a height that is exactly half of its previous height, and it stops bouncing after hitting the ground for the fourth time, then how many total feet will the ball have traveled after 2 full bounces.
Answer the question using a single word or phrase.

[Assistant] 75

[User]
jamshid can paint a fence in 50 percent less time than taimour can when each works alone. when they work together, they can paint the fence in 7 hours. how long would it take taimour to paint the fence alone?
Answer the question using a single word or phrase.

[Assistant] 21 hours

[User]
to fill a tank, 25 buckets of water is required. how many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to 1 / 5 of its present?
Answer the question using a single word or phrase.

[Assistant] 125


[User]
12 buckets of water fill a tank when the capacity of each bucket is 81 litres. how many buckets will be needed to fill the same tank, if the capacity of each bucket is 9 litres?
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[Assistant] 108

[User]
the amount of an investment will double in approximately 70 / p years, where p is the percent interest, compounded annually. if thelma invests $ 50,000 in a long - term cd that pays 5 percent interest, compounded annually, what will be the approximate total value of the investment when thelma is ready to retire 42 years later?
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[Assistant] $ 400,000

[User]
a man buys an article for $ 110. and sells it for $ 125. find the gain percent?
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[Assistant] 13.6 %

[User]
the slant height of a cone is 10 cm and radius of the base is 5 cm, find the curved surface of the cone?
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[Assistant] 157

[User]
excluding stoppages, the speed of a train is 54 kmph and including stoppages it is 36 kmph. of how many minutes does the train stop per hour?
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[Assistant] 20


[User]
if x ¤ y = ( x + y ) ^ 2 - ( x - y ) ^ 2. then √ 3 ¤ √ 3 =
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[Assistant] 12

[User]
a palindrome is a number that reads the same forward and backward, such as 124. how many odd, 4 - digit numbers are palindromes?
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[Assistant] 60

[User]
hillary and eddy are climbing to the summit of mt. everest from a base camp 5,000 ft from the summit. when they depart for the summit at 06 : 00, hillary climbs at a rate of 800 ft / hr with eddy lagging behind at a slower rate of 500 ft / hr. if hillary stops 1000 ft short of the summit and then descends at a rate of 1,000 ft / hr, at what time do hillary and eddy pass each other on her return trip?
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[Assistant] 12.0

[User]
a car drives 60 miles on local roads at 20 mph, and 120 miles on the highway at 60 mph, what is the average speed of the entire trip?
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[Assistant] 36 mph

[User]
how many kg of pure salt must be added to 100 kg of 10 % solution of salt and water to increase it to a 20 % solution?
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[Assistant] 12.5


[User]
a train 200 m long passes a man, running at 6 km / hr in the same direction in which the train is going, in 10 seconds. the speed of the train is?
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[Assistant] 78

[User]
a man can row upstream at 20 kmph and downstream at 80 kmph, and then find the speed of the man in still water?
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[Assistant] 50 kmph

[User]
in a tree, 1 / 5 of the birds are robins while the rest are bluejays. if 1 / 2 of the robins are female and 2 / 5 of the bluejays are female, what fraction of the birds in the tree are male?
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[Assistant] 29 / 50

[User]
salesperson a's compensation for any week is $ 360 plus 6 percent of the portion of a's total sales above $ 1,000 for that week. salesperson b's compensation for any week is 8 percent of b's total sales for that week. for what amount of total weekly sales would both salespeople earn the same compensation?
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[Assistant] $ 15,000

[User]
in a fuel station the service costs $ 2.30 per vehicle and every liter of fuel costs $ 0.70. assuming that you fill up 4 mini - vans and 2 trucks, what will be the total cost, if a mini - van's tank is 65 liters and a truck's tank is 120 % bigger and they are all empty?
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[Assistant] $ 396


[User]
evaluate : 6502.5 + 650.25 + 65.025 + 6.5025 + 0.65025
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[Assistant] 7224.92775

[User]
what is the smallest positive integer k such that the product of 450 x k is a perfect square?
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[Assistant] 3

[User]
log 3 n + log 5 n what is 3 digit number n that will be whole number
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[Assistant] 125

[User]
the perimeter of a rectangular yard is completely surrounded by a fence that measures 14 meters. what is the length of the yard if the area of the yard is 6 meters squared?
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[Assistant] 6

[User]
if a and b are positive integers, and a = 4 b + 16, the greatest common divisor of a and b can not be
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[Assistant] 9


[User]
find large number from below question the difference of two numbers is 1375. on dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
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[Assistant] 1647

[User]
3 pumps, working 8 hours a day, can empty a tank in 2 days. how many hours a day must 6 pumps work to empty the tank in 1 day?
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[Assistant] 8

[User]
at a garage sale, all of the items were sold at different prices. if the price of a radio sold at the garage sale was both the 18 th highest price and the 25 th lowest price among the prices of the items sold, how many items were sold at the garage sale?
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[Assistant] 42

[User]
tom, working alone, can paint a room in 6 hours. peter and john, working independently, can paint the same room in 3 hours and 3 hours, respectively. tom starts painting the room and works on his own for one hour. he is then joined by peter and they work together for an hour. finally, john joins them and the three of them work together to finish the room, each one working at his respective rate. what fraction of the whole job was done by peter?
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[Assistant] 7 / 15

[User]
if x ^ 2 + 1 / x ^ 2 = 3, what is the value of x ^ 4 + 1 / x ^ 4?
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[Assistant] 7


[User]
find the value of 3.5 x [ ( 3.6 x 0.48 x 2.50 ) / ( 0.12 x 0.09 x 0.5 ) ]
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[Assistant] 2800

[User]
a and b can do a piece of work in 3 days. with the help of c they finish the work in 2 days. c alone can do that piece of work in?
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[Assistant] 6 days

[User]
dacid obtained 91, 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] 78

[User]
the average of 9 observations was 4, that of the 1 st of 5 being 10 and that of the last 5 being 8. what was the 5 th observation?
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[Assistant] 54

[User]
60 percent of movie theatres in town x have 1 screens or less. 20 % of those theatres sell an average of more than $ 300 worth of popcorn per showing. 56 percent of all the movie theatres in town x sell $ 300 or less of popcorn per showing. what percent of all the stores on the street have 4 or more screens and sell an average of more than $ 300 worth of popcorn per day?
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[Assistant] 40


[User]
a man can row his boat with the stream at 26 km / h and against the stream in 12 km / h. the man's rate is?
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[Assistant] 7 kmph

[User]
in n is a positive integer less than 200, and 10 n / 60 is an integer, then n has how many different positive prime factors?
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[Assistant] 2

[User]
a retailer bought a machine at a wholesale price of $ 117 and later on sold it after a 10 % discount of the retail price. if the retailer made a profit equivalent to 20 % of the whole price, what is the retail price of the machine?
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[Assistant] 159

[User]
what sum of money put at c. i amounts in 2 years to rs. 8000 and in 3 years to rs. 9261?
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[Assistant] 5969.72

[User]
carol spends 1 / 4 of her savings on a stereo and 1 / 6 less than she spent on the stereo for a television. what fraction of her savings did she spend on the stereo and television?
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[Assistant] 11 / 24


[User]
if x and y are both odd prime numbers and x < y, how many distinct positive integer t factors does 2 xy have?
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[Assistant] 8

[User]
how many kg of pure salt must be added to 30 kg of 2 % solution of salt and water to increase it to 10 % solution?
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[Assistant] 8 / 3

[User]
lionel left his house and walked towards walt's house, 48 miles away. two hours later, walt left his house and ran towards lionel's house. if lionel's speed was 3 miles per hour and walt's 3 miles per hour, how many miles had lionel walked when he met walt?
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[Assistant] 27

[User]
calculate the value of y : 5 y ^ 2 - 8 y + 55 = 59
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[Assistant] 2

[User]
the average ( arithmetic mean ) of all scores on a certain algebra test was 90. if the average of the 8 male students ’ grades was 85, and the average of the female students ’ grades was 92, how many female students took the test?
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[Assistant] 20


[User]
a pipe can fill a cistern in 55 minutes. find the time in which 1 / 11 part of the cistern will be filled?
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[Assistant] 5 min

[User]
two trains of equal are running on parallel lines in the same direction at 46 km / hr and 36 km / hr. the faster train passes the slower train in 72 sec. the length of each train is?
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[Assistant] 100

[User]
6 workers should finish a job in 8 days. after 3 days came 4 workers join them. how many days d do they need to finish the same job?
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[Assistant] 3

[User]
what is the ratio between perimeters of two squares one having 11 times the diagonal then the other?
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[Assistant] 11 : 1

[User]
a student has to obtain 40 % of the total marks to pass. he got 150 marks and failed by 50 marks. the maximum marks are?
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[Assistant] 500


[User]
david has $ 1,800 at the beginning of his trip, after spending money, he still has exactly $ 800 less than he spent on the trip. how much money does john still have?
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[Assistant] $ 500

[User]
what number is 75 more than three - fourth of itself?
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[Assistant] 300

[User]
kamal was 4 times as old as his son 8 years ago. after 8 years, kamal will be twice as old as his son. find out the present age of kamal.
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[Assistant] 40

[User]
80 % of a number is added to 120, the result is the same number. find the number?
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[Assistant] 600

[User]
find the least number of complete years in which a sum of money put out at 13 % compound interest will be more than double of itself?
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[Assistant] 6


[User]
a man sells a car to his friend at 12 % loss. if the friend sells it for rs. 54000 and gains 20 %, the original c. p. of the car was :
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[Assistant] rs. 51136.36

[User]
there are 3 workers in the factory a, b, c. the age of a is 4 more than the age of b and the age of b is 4 more than the age of c. if the sum of the square of the ages is 1202. what is the sum of their ages?
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[Assistant] 60

[User]
if 12 men can reap 120 acres of land in 36 days, how many acres of land can 54 men reap in 54 days?
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[Assistant] 810

[User]
how many cubes of 4 cm edge can be cut out of a cube of 28 cm edge
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[Assistant] 343

[User]
the area of a square is equal to four times the area of a rectangle of dimensions 52 cm * 13 cm. what is the perimeter of the square?
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[Assistant] 208


[User]
r is the set of positive odd integers less than 50, and s is the set of the squares of the integers in r. how many elements does the intersection of r and s contain?
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[Assistant] four

[User]
in a sports club with 27 members, 17 play badminton and 19 play tennis and 2 do not play either. how many members play both badminton and tennis?
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[Assistant] 11

[User]
a & b can separately do a piece of work in 20 & 15 days. they worked together for 6 days, after which b was replaced by c. the work was finished in next 5 days. the no. of days in which c alone could do the work is
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[Assistant] 50 days

[User]
a string of 13 light bulbs is wired in such a way that if any individual light bulb fails, the entire string fails. if for each individual light bulb the probability of failing during time period t is 0.02, what is the probability that the string of light bulbs will fail during the time period t?
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[Assistant] 1 - ( 0.98 ) ^ 13

[User]
145 liters of a mixture of milk and water contains in the ratio 3 : 2. how much water should now be added so that the ratio of milk and water becomes 3 : 4?
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[Assistant] 58 liters


[User]
edward's home have 3 taps, one tap, working alone at its maximum constant rate, can fill a certain sink in 270 seconds. a second tap working alone at its maximum constant rate, can fill a certain sink in 274 seconds. a third tap, working alone at its maximum constant rate, can fill the same sink in 276 seconds. if all taps work together at their respective maximum constant rates, the time it will take to fill the sink is closest to
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[Assistant] 91 seconds

[User]
the overall age of x and y is 12 year greater than the overall age of y and z. z is how many decades younger that x?
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[Assistant] 12

[User]
the compound ratio of 1 : 3, 1 : 2 and 1 : 5?
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[Assistant] 1 : 30

[User]
what is rate of interest if principal. amount be 400, simple interest 140 and time 2 year.
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[Assistant] 17.5

[User]
the population of a village is 12000. it increases annually at the rate of 24 % p. a. what will be its population after 2 years?
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[Assistant] 18451


[User]
a school has received 40 % of the amount it needs for a new building by receiving a donation of $ 400 each from people already solicited. people already solicited represent 40 % of the people from whom the school will solicit donations. how much average contribution is requited from the remaining targeted people to complete the fund raising exercise?
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[Assistant] $ 77.78

[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 16 - meter platform and caught it after it had traveled 40 meters. how many times did the ball bounce?
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[Assistant] 2

[User]
a trader sold an item at a loss of 35 %. if he had increased the price by $ 80 he would have made a gain of 5 %. what is the cost price of the item?
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[Assistant] $ 250

[User]
a and b can do a piece of work in 10 days, b and c in 15 days, c and a in 12 days. how long will c take to do it?
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[Assistant] 40 days

[User]
a certain telephone company company charges 3.10 cents for the first 1 / 5 of a minute plus 0.40 cents for each additional 1 / 5 of a minute. what would this company charge for a talk time of 8 minutes long?
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[Assistant] 18.7


[User]
a certain number of men complete a piece of work in 60 days. if there were 8 men more, the work could be finished in 10 days less. how many men were originally there?
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[Assistant] 40

[User]
how many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 7.5 m x 6 m x 22.5 cm?
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[Assistant] 6000

[User]
if the function q is defined by the formula q = 5 w / ( 4 vf ( z ^ 2 ) ), by what factor will q be multiplied if w is quadrupled, f is doubled, and z is tripled?
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[Assistant] 2 / 9

[User]
what is the remainder when 43 ^ 91 is divided by 5?
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[Assistant] 2

[User]
if a and b are integers and ( a * b ) ^ 5 = 64 y, y could be :
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[Assistant] 16


[User]
5 men are equal to as many women as are equal to 8 boys. all of them earn rs. 90 only. men ’ s wages are?
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[Assistant] 6 rs

[User]
each factor of 200 is inscribed on its own plastic ball, and all of the balls are placed in a jar. if a ball is randomly selected from the jar, what is the probability that the ball is inscribed with a multiple of 40?
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[Assistant] 1 / 6

[User]
a certain bag contains 100 balls — 50 white, 30 green, 10 yellow, 7 red, and 3 purple. if a ball is to be chosen at random, what is the probability that the ball will be neither red nor purple?
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[Assistant] 0.9

[User]
if ( n + 2 )! = 2550 ( n! ) ; find ’ n ’
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[Assistant] 49

[User]
find the remainder when 32 ^ 33 ^ 34 is divided by 11
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[Assistant] 10


[User]
along a yard 441 metres long, 22 trees are palnted at equal distances, one tree being at each end of the yard. what is the distance between two consecutive trees
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[Assistant] 21

[User]
calculate the area of a triangle, if the sides are 30 cm, 21 cm and 10 cm, what is its area?
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[Assistant] 105 cm 2

[User]
the circumference of the front wheel of a cart is 30 ft long and that of the back wheel is 32 ft long. what is the distance traveled by the cart, when the front wheel has done 5 more revolutions than the rear wheel?
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[Assistant] 2400 ft

[User]
two pipes a and b can fill a cistern in 12 and 15 minutes respectively. both are opened together but after 4 minutes a is turned off. after how much more time will the cistern be filled?
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[Assistant] 6

[User]
find the annual income derived by investing $ 6800 in 50 % stock at 136.
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[Assistant] 2500


[User]
sebastian bought a meal at a restaurant and left a 15 % tip. with the tip, he paid exactly $ 36.57. how much did the meal cost without the tip?
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[Assistant] $ 31.80

[User]
what should be the least number to be added to the 4499 number to make it divisible by 9?
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[Assistant] 1

[User]
let c be defined as the sum of all prime numbers between 0 and 28. what is c / 3
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[Assistant] 100 / 3

[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 e of the ratio a / b?
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[Assistant] 1 / 2

[User]
jane started baby - sitting when she was 20 years old. whenever she baby - sat for a child, that child was no more than half her age at the time. jane is currently 32 years old, and she stopped baby - sitting 10 years ago. what is the current age of the oldest person for whom jane could have baby - sat?
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[Assistant] 22


[User]
if integer k is equal to the sum of all even multiples of 25 between 295 and 615, what is the greatest prime factor of k?
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[Assistant] 7

[User]
sonika deposited rs. 8000 which amounted to rs. 9200 after 3 years at simple interest. had the interest been 2 % more. she would get how much?
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[Assistant] 9680

[User]
the perimeter of a rectangular yard is completely surrounded by a fence that measures 10 meters. what is the length of the yard if the area of the yard is 6 meters squared?
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[Assistant] 3

[User]
how long does a train 150 m long traveling at 50 kmph takes to cross a bridge of 250 m in length?
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[Assistant] 28.8 sec

[User]
if 7 and 6 are factors of 60 n, what is the minimum value of n?
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[Assistant] 7


[User]
a train 50 m long passes a platform 100 m long in 10 seconds. the speed of the train in m / sec is?
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[Assistant] 15

[User]
how many liters of water must be evaporated from 50 liters of a 4 - percent sugar solution to get a 10 - percent solution?
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[Assistant] 30

[User]
in a class of 70 students, 10 did not opt for math. 5 did not opt for science and 3 did not opt for either. how many students of the class opted for both math and science?
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[Assistant] 38

[User]
562 ã — 99 =?
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[Assistant] 55638

[User]
the sale price sarees listed for rs. 550 after successive discount is 18 % and 12 % is?
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[Assistant] 396


[User]
an empty wooden vessel weighs 12 % of its total weight when filled with paint. if the weight of a partially filled vessel is one half that of a completely filled vessel, what fraction of the vessel is filled.
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[Assistant] 5 / 11

[User]
a side of beef lost 50 percent of its weight in processing. if the side of beef weighed 750 pounds after processing, how many pounds did it weigh before processing?
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[Assistant] 1,500

[User]
50 % of major airline companies equip their planes with wireless internet access. 70 % of major airlines offer passengers free on - board snacks. what is the greatest possible percentage of major airline companies that offer both wireless internet and free on - board snacks?
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[Assistant] 50 %

[User]
a work which could be finished in 12 days was finished 3 days earlier after 10 more men joined. the number of men employed was?
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[Assistant] 10

[User]
a producer of tea blends two varieties of tea from two tea gardens one costing rs 18 per kg and another rs 20 per kg in the ratio 5 : 3. if he sells the blended variety at rs 23 per kg, then his gain percent is
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[Assistant] 23 %


[User]
a can run 4 times as fast as b and gives b a start of 69 m. how long should the race course be so that a and b might reach in the same time?
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[Assistant] 92 m

[User]
a car travels uphill at 30 km / hr and downhill at 40 km / hr. it goes 100 km uphill and 50 km downhill. find the average speed of the car?
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[Assistant] 33 kmph

[User]
the price of a bushel of corn is currently $ 3.20, and the price of a peck of wheat is $ 7.80. the price of corn is increasing at a constant rate of 5 x cents per day while the price of wheat is decreasing at a constant rate of x ( 2 ^ 1 / 2 ) - x cents per day. what is the approximate price when a bushel of corn costs the same amount as a peck of wheat?
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[Assistant] $ 7.50

[User]
a person saved $ 10 in buying an item on sale. if he spent $ 400 for the item, approximately how much percent he saved in the transaction?
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[Assistant] 2.4 %

[User]
in a certain parking lot, 10 % of the cars are towed for parking illegally. however 80 % of the cars which are parked illegally are not towed. what percentage of cars in the parking lot are parked illegally?
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[Assistant] 50 %


[User]
for what value of â € œ k â €  will the equation ( 2 kx 2 + 7 kx + 2 ) = 0 have equal roots?
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[Assistant] 16 / 49

[User]
in how many ways can 5 different rings be worn in 4 particular fingers? ( some fingers may get more than one ring and some may get no rings. ) can somebody explain?
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[Assistant] 6720

[User]
bag a contains red, white and blue marbles such that the red to white marble ratio is 1 : 3 and the white to blue marble ratio is 2 : 3. bag b contains red and white marbles in the ratio of 1 : 4. together, the two bags contain 50 white marbles. how many red marbles could be in bag a?
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[Assistant] 5

[User]
a box contains 6 pairs of shoes ( 12 shoes in total ). if two shoes are selected at random, what it is the probability that they are matching shoes?
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[Assistant] 1 / 11

[User]
the number of stamps that kaye and alberto had were in the ration of 5 : 3 respectively. after kaye gave alberto 12 of her stamps, the ration of the number of kaye had to the number of alberto had was 8 : 6. as a result of the gift, kaye had how many more stamps than alberto?
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[Assistant] 32


[User]
you hold some gold in a vault as an investment. over the past year the price of gold increases by 30 %. in order to keep your gold in the vault, you must pay 2 % of the total value of the gold per year. what percentage has the value of your holdings changed by over the past year.
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[Assistant] 27.4 %

[User]
a number x is 11 times another number y. the percentage that y is less than x is
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[Assistant] 90.9

[User]
ravi's 4 days average income is 1025.68. but in a form he should write his average income as the greatest positive even integer less than or equal to his 4 days average income. what is the difference between his real average and form filling average?
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[Assistant] 1.68

[User]
roy was suffering from severe headaches. he went to see his doctor and the doctor gave him 5 tablets asking him to take one tablet every 15 minutes. how much time will it take roy to consume all the 5 tablets?
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[Assistant] 60 min

[User]
if one root of the equation 2 x ^ 2 + 3 x – k = 0 is 7, what is the value of k?
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[Assistant] 119


[User]
what will be the compound interest on a sum of rs. 24,500 after 3 years at the rate of 12 % p. a.?
Answer the question using a single word or phrase.

[Assistant] s. 9920.736

[User]
at a garage sale, all of the items were sold at different prices. if the price of a radio sold at the garage sale was both the 14 th highest price and the 21 st lowest price among the prices of the items sold, how many items were sold at the garage sale?
Answer the question using a single word or phrase.

[Assistant] 34

[User]
what distance will be covered by a city bus moving at 72 kmph in 30 seconds?
Answer the question using a single word or phrase.

[Assistant] 600 m

[User]
the cost of 3 pens and 5 pencils is rs. 260. also the cost of one pen and one pencil is in the ratio of 5 : 1 respectively. what is the cost of one dozen pens?
Answer the question using a single word or phrase.

[Assistant] rs. 780

[User]
in a certain archery competition, points were awarded as follows : the first place winner receives 11 points, the second place winner receives 7 points, the third place winner receives 5 points and the fourth place winner receives 2 points. no other points are awarded. john participated several times in the competition and finished first, second, third, or fourth each time. the product of all the points he received was 107800. how many times did he participate in the competition?
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[Assistant] 8


[User]
a person travels equal distances with speeds of 2 km / hr, 6 km / hr, 6 km / hr. and takes a total time of 11 minutes. find the total distance?
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[Assistant] 660 mts

[User]
natasha climbs up a hill, and descends along the same way she went up. it takes her 4 hours to reach the top and 2 hours to come back down. if her average speed along the whole journey is 3 kilometers per hour, what was her average speed ( in kilometers per hour ) while climbing to the top?
Answer the question using a single word or phrase.

[Assistant] 2.25

[User]
mike drives his new corvette from san francisco to las vegas, a journey of 640 miles. he drives the first half of the trip at an average rate of 80 miles per hour, but has to slow down for the second half of his journey. if the second half of the trip takes him 200 percent longer than the first half, what is his average rate p in miles per hour for the entire trip?
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[Assistant] p = 40.0

[User]
a group of n students can be divided into equal groups of 4 with 1 student left over or equal groups of 5 with 1 students left over. what is the sum of the two smallest possible values of n?
Answer the question using a single word or phrase.

[Assistant] 62

[User]
the annual interest rate earned by an investment increased by 10 percent from last year to this year. if the annual interest rate earned by the investment this year was 12 percent, what was the annual interest rate last year?
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[Assistant] 10.9 %


[User]
if a - b = 6 and a ^ 2 + b ^ 2 = 100, find the value of ab
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[Assistant] 32

[User]
the average amount with a group of 7 numbers is rs. 20. if the newly joined member has rs. 56 with him, what was the average amount with the group before his joining the group?
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[Assistant] s. 14

[User]
find the missing figures :? % of 50 = 2.125
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[Assistant] 4.25

[User]
a person borrows rs. 5000 for 2 years at 4 % p. a. simple interest. he immediately lends it to another person at 8 % p. a for 2 years. find his gain in the transaction per year.
Answer the question using a single word or phrase.

[Assistant] 200

[User]
the volume of a certain substance is always directly proportional to its weight. if 48 cubic inches of the substance weigh 114 ounces, what is the volume, in cubic inches, of 63 ounces of this substance?
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[Assistant] 26


[User]
the side of a square is increased by 5 % then how much % does its area increases?
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[Assistant] 10.25 %

[User]
money invested at x %, compounded annually, triples in value in approximately every 112 / x years. if $ 1500 is invested at a rate of 8 %, compounded annually, what will be its approximate worth in 28 years?
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[Assistant] $ 13,500

[User]
the sum of ages of 5 children born 3 years different each is 75 yrs. what is the age of the elder child?
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[Assistant] 21

[User]
in how many ways can a teacher write an answer key for a mini - quiz that contains 3 true - false questions followed by 2 multiples - choice questions with 4 answer choices each, if the correct answers to all true - false questions can not be the same?
Answer the question using a single word or phrase.

[Assistant] 96

[User]
a 50 - liter solution of alcohol and water is 5 percent alcohol. if 1.5 liters of alcohol and 8.5 liters of water are added to this solution, what percent of the solution produced is alcohol?
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[Assistant] 7 %


[User]
there are 3 departments having students 72, 5824. in an exam they have to be seated in rooms such that each room has equal number of students and each room has students of one type only ( no mixing of departments ). find the minimum number of rooms required?
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[Assistant] 77

[User]
a car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 120 kilometers per hour. at what speed, in kilometers per hour, is the car traveling?
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[Assistant] 112.5

[User]
an article is bought for rs. 765 and sold for rs. 1000, find the gain percent?
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[Assistant] 30.7 %

[User]
the price of a cycle is reduced by 25 per cent. the new price is reduced by a further 70 per cent. the two reductions together are equal to a single reduction of
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[Assistant] 77.5 %

[User]
the percentage profit earned by selling an article for rs. 1920 is equal to the percentage loss incurred by selling the same article for rs. 1280. at what price should the article be sold to make 35 % profit?
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[Assistant] 2080


[User]
running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. at this rate, how many bottles could 10 such machines produce in 4 minutes?
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[Assistant] 1800

[User]
thirty percent of the members of a swim club have passed the lifesaving test. among the members who havenotpassed the test, 40 have taken the preparatory course and 30 have not taken the course. how many members are there in the swim club?
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[Assistant] 100

[User]
what is the smallest number which when diminished by 8, is divisible by 9, 6, 12 and 18?
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[Assistant] 44

[User]
the ratio of two quantities is 1 to 2. if each of the quantities is increased by 15, what is the ratio of these 2 new quantities?
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[Assistant] it can not be determined from the information given

[User]
on a partly cloudy day, derek decides to walk back from work. when it is sunny, he walks at a speed of s miles / hr ( s is an integer ) and when it gets rain cloud, he increases his speed to ( s + 1 ) miles / hr. if his average speed for the entire distance is 2.8 miles / hr, what fraction of the total distance did he cover while the sun was shining on him?
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[Assistant] 1 / 7


[User]
if the population of a certain country increases at the rate of two person every 60 seconds, by how many persons does the population increase in 100 minutes?
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[Assistant] 200

[User]
a salt manufacturing company produced a total of 2500 tonnes of salt in january of a particular year. starting from february its production increased by 100 tonnes every month over the previous months until the end of the year. find its ave 66 rage daily production for that year?
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[Assistant] 100

[User]
1200 men have provisions for 18 days. if 450 more men join them, for how many days will the provisions last now?
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[Assistant] 13.1

[User]
when a train travels at a speed of 90 kmph, it reaches the destination on time. when the same train travels at a speed of 50 kmph, it reaches its destination 15 min late. what is the length of journey?
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[Assistant] 18.75 km

[User]
a student needs 60 % of the marks on a test to pass the test. if the student gets 80 marks and fails the test by 40 marks, find the maximum marks set for the test.
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[Assistant] 200


[User]
what is the sum of all even numbers from 1 to 401?
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[Assistant] 40200

[User]
the size of a flat - screen television is given as the length of the screen ’ s diagonal. how many square inches greater is the screen of a square 21 - inch flat - screen television than a square 19 - inch flat - screen television?
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[Assistant] 40

[User]
the proportion of copper and zinc in the brass is 13 : 7. how much zinc will there be in 100 kg of brass?
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[Assistant] 35 kg

[User]
if a man lost 8 % by selling oranges at the rate of 18 a rupee at how many a rupee must he sell them to gain 45 %?
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[Assistant] 11.42

[User]
the time it took car p to travel 150 miles was 2 hours less than the time it took car r to travel the same distance. if car p ’ s average speed was 10 miles per hour greater than that of car r, what was car r ’ s average speed, in miles per hour?
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[Assistant] 23


[User]
subtracting 2 % of a from a is equivalent to multiplying a by how much?
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[Assistant] 0.98

[User]
a cistern 5 m long and 2 m wide contains water up to a breadth of 1 m 10 cm. find the total area of the wet surface.
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[Assistant] 25 m sqaure

[User]
right now, the ratio between the ages of sandy and molly is 4 : 3. after 6 years, sandy ’ s age will be 42 years. what is molly's age right now?
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[Assistant] 27

[User]
how many boxes do you need if you have to pack 240 pairs ornamental bangles into boxes that each hold 2 dozens of bangles?
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[Assistant] 20

[User]
in an election, candidate a got 85 % of the total valid votes. if 15 % of the total votes were declared invalid and the total numbers of votes is 560000, find the number of valid vote polled in favor of candidate?
Answer the question using a single word or phrase.

[Assistant] 404600


[User]
jerry bought a bottle of perfume for a gift for his wife. the perfume cost $ 92 before tax. if the total price including tax was $ 98.90, find the tax rate
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[Assistant] 7.5 %

[User]
tea worth rs. 126 per kg and rs. 135 per kg are mixed with a third variety of tea in the ratio 1 : 1 : 2. if the mixture is worth rs. 153 per kg, what is the price of the third variety per kg?
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[Assistant] 175.5

[User]
the average speed of a car decreased by 3 miles per hour every successive 8 - minutes interval. if the car traveled 3.6 miles in the seventh 8 - minute interval, what was the average speed of the car, in miles per hour, in the first 8 minute interval?
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[Assistant] 45

[User]
a 7 - digit number comprises of only 2's and 3's. how many of these are multiples of 12?
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[Assistant] 11

[User]
mr. karan borrowed a certain amount at 6 % per annum simple interest for 9 years. after 9 years, he returned rs. 8110 / -. find out the amount that he borrowed.
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[Assistant] rs. 5266


[User]
a technician makes a round - trip to and from a certain service center by the same route. if the technician completes the drive to the center and then completes 10 percent of the drive from the center, what percent of the round - trip has the technician completed?
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[Assistant] 55 %

[User]
the banker â € ™ s discount of a certain sum of money is rs. 60 and the true discount on the same sum for the same time is rs. 54. the sum due is
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[Assistant] 720

[User]
a certain number of workers can do a work in 25 days. if there were 10 workers more it could be finished in 10 days less. how many workers are there?
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[Assistant] 15

[User]
a big container is 30 % full with water. if 9 liters of water is added, the container becomes 3 / 4 full. what is the capacity of the big container?
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[Assistant] 20 liters

[User]
a man cheats while buying as well as while selling. while buying he takes 11 % more than what he pays for and while selling he gives 20 % less than what he claims to. find the profit percent, if he sells at 9.09 % below the cost price of the claimed weight.
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[Assistant] 42.86 %


[User]
a train traveled the first d miles of its journey it an average speed of 60 miles per hour, the next d miles of its journey at an average speed of y miles per hour, and the final d miles of its journey at an average speed of 160 miles per hour. if the train ’ s average speed over the total distance was 90 miles per hour, what is the value of y?
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[Assistant] 110

[User]
a number is doubled and 15 is added. if resultant is trebled, it becomes 75. what is that number
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[Assistant] 5

[User]
divide rs. 2800 among a, b and c so that a receives 3 / 4 as much as b and c together and b receives 1 / 4 as a and c together. a's share is?
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[Assistant] 1200

[User]
if 1 + 2 + 3 +... + n = n ( n + 1 ), then 3 ( 1 + 3 + 5 +.... + 69 ) =?
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[Assistant] 3675

[User]
a shipment of 250 smartphones contains 84 that are defective. if a customer buys two smartphones at random from the shipment, what is the approximate probability that both phones are defective? a. b. c. d. e.
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[Assistant] 1 / 9


[User]
what is the positive difference between the sum of the squares of the first 7 positive integers and the sum of the prime numbers between the first square and fourth square?
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[Assistant] 99

[User]
517 x 517 + 483 x 483 =?
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[Assistant] 500578

[User]
a certain car uses one gallon of gasoline every 38 miles when it travels on highway, and one gallon of gasoline every 20 miles when it travels in the city. when a car travels 4 miles on highway and 4 additional miles in the city, it uses what percent more gasoline than if it travels 8 miles on the highway?
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[Assistant] 45 %

[User]
divide $ 300 among a, b in the ratio 1 : 2. how many $ that a get?
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[Assistant] $ 100

[User]
a man can row upstream at 45 kmph and downstream at 55 kmph, and then find the speed of the man in still water?
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[Assistant] 50 kmph


[User]
the speed of a subway train is represented by the equation z = s ^ 2 + 2 s for all situations where 0 ≤ s ≤ 7, where z is the rate of speed in kilometers per hour and s is the time in seconds from the moment the train starts moving. in kilometers per hour, how much faster is the subway train moving after 7 seconds than it was moving after 4 seconds?
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[Assistant] 39

[User]
if p # q denotes the least common multiple of p and q, then w = ( ( 12 # 16 ) # ( 18 # 24 ) ) =?
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[Assistant] 144

[User]
a car travels from point a to point b. the average speed of the car is 60 km / hr and it travels the first half of the trip at a speed of 75 km / hr. what is the speed of the car in the second half of the trip?
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[Assistant] 50

[User]
a boat having a length 8 m and breadth 3 m is floating on a lake. the boat sinks by 1 cm when a man gets on it. the mass of the man is :
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[Assistant] 240 kg

[User]
excluding stoppages, the speed of a bus is 86 kmph and including stoppages, it is 76 kmph. for how many minutes does the bus stop per hour?
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[Assistant] 7 min


[User]
the ratio of numbers is 3 : 4 and their h. c. f is 4. their l. c. m is?
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[Assistant] 48

[User]
john makes $ 60 a week from his job. he earns a raise and now makes $ 120 a week. what is the % increase?
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[Assistant] 100 %

[User]
a taxi leaves point a 5 hours after a bus left the same spot. the bus is traveling 20 mph slower than the taxi. find the speed of the taxi, if it overtakes the bus in three hours.
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[Assistant] 32

[User]
a can finish a work in 12 days and b can do the same work in 15 days. b worked for 10 days and left the job. in how many days, a alone can finish the remaining work?
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[Assistant] 4

[User]
two trains are moving in opposite directions with speed of 90 km / hr and 90 km / hr respectively. their lengths are 1.10 km and 0.9 km respectively. the slower train cross the faster train in - - - seconds
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[Assistant] 40


[User]
a can do a piece of work in 40 days ; b can do the same in 20 days. a started alone but left the work after 10 days, then b worked at it for 10 days. c finished the remaining work in 10 days. c alone can do the whole work in?
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[Assistant] 40 days

[User]
for any number s, s * is defined as the greatest positive even integer less than or equal to s. what is the value of 5.2 – 5.2 *?
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[Assistant] 1.2

[User]
the present ages of a, b & c are in the ratio of 5 : 7 : 8. 7 years ago, the sum oftheir ages was 59. what is the present age of eldest one?
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[Assistant] 32

[User]
? % of 360 = 129.6
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[Assistant] 36

[User]
a car gets 30 kilometers per gallon of gasoline. how many gallons of gasoline would the car need to travel 200 kilometers?
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[Assistant] 6.7 gallons


[User]
maths, physics and chemistry books are stored on a library shelf that can accommodate 25 books. currently, 20 % of the shelf spots remain empty. there are twice as many maths books as physics books and the number of physics books is 4 greater than that of chemistry books. among all the books, 12 books are soft cover and the remaining are hard - cover. if there are a total of 7 hard - cover books among the maths and physics books. what is the probability w, that a book selected at random is either a hard cover book or a chemistry book?
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[Assistant] 9 / 20

[User]
the number 219 can be written as sum of the squares of 3 different positive integers. what is the difference of these 2 different larger integers?
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[Assistant] 6

[User]
this year, mbb consulting fired 10 % of its employees and left remaining employee salaries unchanged. sally, a first - year post - mba consultant, noticed that that the average ( arithmetic mean ) of employee salaries at mbb was 10 % more after the employee headcount reduction than before. the total salary pool allocated to employees after headcount reduction is what percent of that before the headcount reduction?
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[Assistant] 99 %

[User]
what is the greatest positive integer n such that 3 ^ n is a factor of 36 ^ 150?
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[Assistant] 300

[User]
real - estate salesman z is selling a house at a 30 percent discount from its retail price. real - estate salesman x vows to match this price, and then offers an additional 15 percent discount. real - estate salesman y decides to average the prices of salesmen z and x, then offer an additional 40 percent discount. salesman y's final price is what fraction of salesman x's final price?
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[Assistant] 39 / 6


[User]
in a certain alphabet, 11 letters contain a dot and a straight line. 24 letters contain a straight line but do not contain a dot. if that alphabet has 40 letters, all of which contain either a dot or a straight line or both, how many letters contain a dot but do not contain a straight line?
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[Assistant] 5

[User]
an alloy of copper and zinc contains copper and zinc in the ratio 5 : 3. another alloy of copper and zinc contains copper and zinc in the ratio 1 : 7. in what ratio should the two alloys be mixed so that the resultant alloy contains equal proportions of copper and zinc?
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[Assistant] 3 : 1

[User]
the average weight of 30 boys sitting in a bus had some value. a new person added to them whose weight was 40 kg only. due to his arrival, the average weight of all the boys decreased by 2 kg. find the average weight of first 30 boys?
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[Assistant] 102

[User]
the original price of a suit is $ 200. the price increased 25 %, and after this increase, the store published a 25 % off coupon for a one - day sale. given that the consumers who used the coupon on sale day were getting 25 % off the increased price, how much did these consumers pay for the suit?
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[Assistant] $ 187.50

[User]
a, b and c rents a pasture for rs. 638. a put in 12 horses for 8 months, b 16 horses for 9 months and 18 horses for 6 months. how much should c pay?
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[Assistant] 198


[User]
if x / 4 - x - 3 / 6 = 1, then find the value of x.
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[Assistant] 6

[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 $ 42 more. what was his original selling price?
Answer the question using a single word or phrase.

[Assistant] $ 660

[User]
x and y started a business by investing rs. 36000 and rs. 42000 respectively after 4 months z joined in the business with an investment of rs. 48000, then find share of z in the profit of rs. 14300?
Answer the question using a single word or phrase.

[Assistant] 4160

[User]
in a rectangular coordinate system, what is the area of a rhombus whose vertices have the coordinates ( 0, 3.5 ), ( 10, 0 ), ( 0, - 3.5 ), ( - 10, 0 )?
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[Assistant] 70

[User]
hcf of two numbers is 15 and their lcm is 180. if their sum is 105, then the numbers are :
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[Assistant] 45 and 60


[User]
in the first 10 overs of a cricket game, the run rate was only 3.2. what should be the run rate in the remaining 10 overs to reach the target of 282 runs?
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[Assistant] 25

[User]
if the cost price of 50 articles is equal to the selling price of 25 articles, then the gain or loss percent is?
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[Assistant] 100

[User]
jake can dig a well in 16 days. paul can dig the same well in 24 days. jake, paul and hari together dig the well in 8 days. hari alone can dig the well in
Answer the question using a single word or phrase.

[Assistant] 48 days

[User]
3 numbers are in the ratio 4 : 5 : 6 and their average is 20. the largest number is :
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[Assistant] 24

[User]
a father told his son ` ` i was as old as you are at present, at the time of your birth ' '. if the father is 38 years old now, then what was the son's age 5 years ago in years?
Answer the question using a single word or phrase.

[Assistant] 14


[User]
a survey of n people in the town of eros found that 50 % of them preferred brand a. another survey of 120 people in the town of angie found that 60 % preferred brand a. in total, 55 % of all the people surveyed together preferred brand a. what is the total number of people surveyed?
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[Assistant] 240

[User]
the owner of a furniture shop charges his customer 25 % more than the cost price. if a customer paid rs. 5600 for a computer table, then what was the cost price of the computer table?
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[Assistant] rs. 4480

[User]
the marks obtained by vijay and amith are in the ratio 4 : 5 and those obtained by amith and abhishek in the ratio of 3 : 2. the marks obtained by vijay and abhishek are in the ratio o
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[Assistant] 6 : 5

[User]
the sector of a circle has radius of 18 cm and central angle 135 o. find its perimeter?
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[Assistant] 78.4 cm

[User]
last year, for every 100 million vehicles that traveled on a certain highway, 96 vehicles were involved in accidents. if 3 billion vehicles traveled on the highway last year, how many of those vehicles were involved in accidents? ( 1 billion = 1,000, 000,000 )
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[Assistant] 2,880


[User]
for any number y, y * is defined as the greatest positive even integer less than or equal to y. what is the value of 6.2 – 6.2 *?
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[Assistant] 2.2

[User]
a certain lab experiments with white and brown mice only. in one experiment, 2 / 3 of the mice are white. if there are 11 brown mice in the experiment, how many mice in total are in the experiment?
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[Assistant] 33

[User]
walking with 5 / 4 of my usual speed, i miss the bus by 5 minutes. what is my usual time?
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[Assistant] 20

[User]
if n = 2 ^ 0.25 and n ^ b = 16, b must equal
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[Assistant] 16

[User]
in how many q ways can a 4 - letter password be chosen, using the letters a, b, c, d, e, and / or f, such that at least one letter is repeated within the password?
Answer the question using a single word or phrase.

[Assistant] 936


[User]
the distance between delhi and mathura is 150 kms. a starts from delhi with a speed of 25 kmph at 5 a. m. for mathura and b starts from mathura with a speed of 40 kmph at 6 p. m. from delhi. when will they meet?
Answer the question using a single word or phrase.

[Assistant] 8

[User]
water boils at 212 ° f or 100 ° c and melts at 32 ° f or 0 ° c. if the temperature of the particular day is 35 ° c, it is equal to
Answer the question using a single word or phrase.

[Assistant] 95 ° f

[User]
the difference between c. i. and s. i. on an amount of rs. 15,000 for 2 years is rs. 96. what is the rate of interest per annum?
Answer the question using a single word or phrase.

[Assistant] 8

[User]
a monkey ascends a greased pole 26 meters high. he ascends 2 meters in the first minute and then slips down 1 meter in the alternate minute. if this pattern continues until he climbs the pole, in how many minutes would he reach at the top of the pole?
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[Assistant] 49 th minute

[User]
a man distributed rs. 100 equally among his friends. if there had been 5 more friends, each would have received one rupee less. how many friends had he?
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[Assistant] 25


[User]
a, b and c can do a work in 6, 9 and 12 days respectively doing the work together and get a payment of rs. 1800. what is b ’ s share?
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[Assistant] rs. 653.8

[User]
the salary of a typist was at first raised by 10 % and then the same was reduced by 5 %. if he presently draws rs. 6270. what was his original salary?
Answer the question using a single word or phrase.

[Assistant] 6000

[User]
the perimeter of one face of a cube is 28 cm. its volume will be :
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[Assistant] 343 cm 3

[User]
the true discount on a bill of rs. 270 is rs. 45. the banker's discount is
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[Assistant] 54

[User]
a part of certain sum of money is invested at 9 % per annum and the rest at 21 % per annum, if the interest earned in each case for the same period is equal, then ratio of the sums invested is?
Answer the question using a single word or phrase.

[Assistant] 7 : 3


[User]
a pipe can empty 2 / 3 rd of a cistern in 12 mins. in 8 mins, what part of the cistern will be empty?
Answer the question using a single word or phrase.

[Assistant] 4 / 9

[User]
the toll for crossing a certain bridge is $ 0.75 each crossing. drivers who frequently use the bridge may instead purchase a sticker each month for $ 12.00 and then pay only $ 0.30 each crossing during that month. if a particular driver will cross the bridge twice on each of x days next month and will not cross the bridge on any other day, what is the least value of x for which this driver can save money by using the sticker?
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[Assistant] 14

[User]
if 20 % of a is the same as 25 % of b, then a : b is :
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[Assistant] 5 : 4

[User]
4, 7, 16, 43, 124, (... )
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[Assistant] 367

[User]
a man buys an article for $ 100. and sells it for $ 120. find the gain percent?
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[Assistant] 20 %


[User]
the average weight of a class of 24 students is 35 kg. if the weight of the teacher be included, the average rises by 400 g. the weight of the teacher is
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[Assistant] 45 kg

[User]
what percent of 200 is 55?
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[Assistant] 27.5 %

[User]
a person buys an article at rs. 500. at what price should he sell the article so as to make a profit of 25 %?
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[Assistant] 625

[User]
if 28 a + 30 b + 31 c = 545. then a + b + c =?. a, b, c are natural numbers
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[Assistant] 18

[User]
how many different ways can 2 students be seated in a row of 3 desks, so that there is always at least one empty desk between the students?
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[Assistant] 2


[User]
p and q started a business investing rs 75000 and rs 15000 resp. in what ratio the profit earned after 2 years be divided between p and q respectively.
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[Assistant] 5 : 1

[User]
evaluate : 55 - 12 * 3 * 2 =?
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[Assistant] 47

[User]
the area of sector of a circle whose radius is 12 metro and whose angle at the center is 42 ° is?
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[Assistant] 52.8 m 2

[User]
if 2 x = 4 y = z, what is x - y, in terms of z?
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[Assistant] z / 4

[User]
the average weight of a group of boys is 35 kg. after a boy of weight 40 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] 5


[User]
how many 13 - digits number are palindromic numbers? a palindromic number reads the same forward and backward, example 1234567654321.
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[Assistant] 9000000

[User]
5216 × 51 =?
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[Assistant] 266016

[User]
points x, y, and z lie, in that order, on a straight railroad track. the distance from point x to point y is twice the distance from point y to point z. a train traveled from point x to point z without stopping. the train's average speed when traveling from point x to point y was 100 miles per hour and the train's average speed when traveling from point y to point z was 75 miles per hour. what was the train's average speed, in miles per hour, when traveling from point x to point z?
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[Assistant] 90

[User]
if there are 200 questions in a 3 hr examination. among these questions are 20 type a problems, which requires twice as much as time be spent than the rest of the type b problems. how many minutes should be spent on type a problems?
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[Assistant] 32.72727 min

[User]
an integer n between 1 and 100, inclusive, is to be chosen at random. what is the probability that n ( n + 2 ) will be divisible by 2?
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[Assistant] 1 / 2


[User]
a certain characteristic in a large population has a distribution that is symmetric about the mean m. if 36 percent of the distribution lies within one standard deviation d of the mean, what percent of the distribution is less than m + d?
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[Assistant] 68 %

[User]
every student in a room is either a junior or a senior. there is at least one junior and at least one senior in the room. if 4 / 5 of the juniors is equal to 1 / 2 of the seniors, what fraction of the students in the room are juniors?
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[Assistant] 5 / 13

[User]
a certain car dealership sells economy cars, luxury cars, and sport utility vehicles. the ratio of economy to luxury cars is 3 : 2. the ratio of economy cars to sport utility vehicles is 4 : 1. what is the ratio of luxury cars to sport utility vehicles?
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[Assistant] 8 : 3

[User]
if the simple interest on a sum of money for 2 years at 5 % per annum is rs. 40, what is the compound interest on the same sum at the rate and for the same time?
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[Assistant] s. 41.00

[User]
income and expenditure of a person are in the ratio 5 : 4. if the income of the person is rs. 18000, then find his savings?
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[Assistant] rs. 3600


[User]
in a certain diving competition, 5 judges score each dive on a scale from 1 to 10. the point value of the dive is obtained by dropping the highest score and the lowest score and multiplying the sum of the remaining scores by the degree of difficulty. if a dive with a degree of difficulty of 3.2 received scores of 7.5, 8.8, 9.0, 6.0, and 8.5, what was the point value of the dive?
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[Assistant] 79.36

[User]
at the faculty of aerospace engineering, 310 students study random - processing methods, 232 students study scramjet rocket engines and 112 students study them both. if every student in the faculty has to study one of the two subjects, how many students are there in the faculty of aerospace engineering?
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[Assistant] 430

[User]
gold is 19 times as heavy as water and copper is 9 times as heavy as water. in what ratio should these be mixed to get an alloy 12 times as heavy as water?
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[Assistant] 3 : 7

[User]
in 2008, the profits of company n were 10 percent of revenues. in 2009, the revenues of company n fell by 20 percent, but profits were 14 percent of revenues. the profits in 2009 were what percent of the profits in 2008?
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[Assistant] 112 %

[User]
what is the 100 th digit of ( 3! * 5! + 4! * 3! ) / 2?
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[Assistant] 4


[User]
an error 2 % in excess is made while measuring the side of a square. what is the percentage of error in the calculated area of the square?
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[Assistant] 4.04

[User]
at a certain university, 70 % of the professors are women, and 70 % of the professors are tenured. if 90 % of the professors are women, tenured, or both, then what percent of the men are tenured?
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[Assistant] 50

[User]
if p and t are positive integers such that p > t > 1, what is the remainder when 92 p × 5 p + t + 11 t × 6 pt is divided by 10?
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[Assistant] b. 1

[User]
mary passed a certain gas station on a highway while traveling west at a constant speed of 40 miles per hour. then, 15 minutes later, paul passed the same gas station while traveling west at a constant speed of 50 miles per hour. if both drivers maintained their speeds and both remained on the highway for at least 2 hours, how long after he passed the gas station did paul catch up with mary?
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[Assistant] 1

[User]
a person buys an article at rs. 350. at what price should he sell the article so as to make a profit of 30 %?
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[Assistant] 455


[User]
a bowl of nuts is prepared for a party. brand p mixed nuts are 20 % almonds and brand q's deluxe nuts are 25 % almonds. if a bowl contains a total of 67 ounces of nuts, representing a mixture of both brands, and 15 ounces of the mixture are almonds, how many ounces of brand q's deluxe mixed nuts are used?
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[Assistant] 32

[User]
if $ 5,000 is invested in an account that earns 8 % interest compounded semi - annually, then the interest earned after one year would be how much greater than if the $ 5,000 had been invested at 8 % simple yearly interest?
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[Assistant] $ 8

[User]
the length of a rectangular garden is three times its width. if the area of the rectangular garden is 675 square meters, then what is the width of the rectangular garden?
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[Assistant] 15

[User]
how many odd 3 - digit integers smaller than 500 are there such that all their digits are different?
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[Assistant] 144

[User]
a van takes 5 hours to cover a distance of 435 km. what speed in kph should the van maintain to cover the same distance in 3 / 2 of the previous time?
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[Assistant] 58


[User]
if the price of a tv is first decreased by 20 % and then increased by 50 %, then the net change in the price will be :
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[Assistant] 20 % increase

[User]
18 % of 680 -? = 68.7
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[Assistant] 53.7

[User]
a sum of money is put out at compound interest for 2 years at 20 %. it would fetch rs. 241 more if the interest were payable half - yearly, then it were pay able yearly. find the sum.
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[Assistant] 10000

[User]
a, b and c can do a piece of work in 24, 30 and 40 days respectively. they start the work together but c leaves 4 days before the completion of the work. in how many days is the work done?
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[Assistant] 11

[User]
of the 120 passengers on flight 750, 45 % are female. 10 % of the passengers sit in first class, and the rest of the passengers sit in coach class. if 1 / 3 of the passengers in first class are male, how many females are there in coach class?
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[Assistant] 46