[User]
cereal a is 8 % sugar by weight, whereas healthier but less delicious cereal b is 2 % sugar by weight. to make a delicious and healthy mixture that is 4 % sugar, what should be the ratio of cereal a to cereal b, by weight?
Answer the question using a single word or phrase.

[Assistant] 1 : 2

[User]
the ratio of boarders to day students at a school was originally 2 to 5. however, after a number of new boarders join the initial 120 boarders, the ratio changed to 1 to 2. if no boarders became day students and vice versa, and no students left the school, how many new boarders joined the school?
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[Assistant] 30

[User]
a 20 kg metal bar made of alloy of tin and silver lost 2 kg of its weight in the water. 10 kg of tin loses 1.375 kg in the water ; 5 kg of silver loses 0.375 kg. what is the ratio of tin to silver in the bar?
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[Assistant] 2 / 3

[User]
the radius of a cylinder is 10 m, height 12 m. the volume of the cylinder is :
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[Assistant] 3771.4

[User]
what amount does an investor receive if the investor invests $ 6000 at 10 % p. a. compound interest for two years, compounding done annually?
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[Assistant] $ 7260


[User]
the racing magic takes 50 seconds to circle the racing track once. the charging bull makes 40 rounds of the track in an hour. if they left the starting point together, how many minutes will it take for them to meet at the starting point for the second time?
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[Assistant] 15

[User]
three pipes, a, b, & c are attached to a tank. a & b can fill it in 20 & 30 minutes respectively while c can empty it in 15 minutes. if a, b & c are kept open successively for 2 minute each, how soon will the tank be filled?
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[Assistant] 6 hours

[User]
a train 360 m long runs with a speed of 45 km / hr. what time will it take to pass a platform of 340 m long?
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[Assistant] 56

[User]
in a certificate by mistake a candidate gave his height as 25 % more than actual height. in the interview panel, he clarified that his height was 5 feet 6 nches. find the % correction made by the candidate from his stated height to his actual height?
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[Assistant] 16.5

[User]
there are 2 available positions and 50 candidates, one half of whom are democrats and another half are republicans. if it was decided that the positions would be filled at random, then what is the probability q that the both positions will be taken by members of just one party?
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[Assistant] 24 / 49


[User]
what is the smallest positive integer k such that the product of 3675 x k is a perfect square?
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[Assistant] 3

[User]
one pipe can fill a tank three times as fast as another pipe. if together the two pipes can fill the tank in 39 minutes, then the slower pipe alone will be able to fill the tank in
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[Assistant] 156 minw

[User]
there are 7 non - collinear points. how many triangles can be drawn by joining these points?
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[Assistant] 35

[User]
a man buys 58 pens at marked price of 46 pens from a whole seller. if he sells these pens giving a discount of 1 %, what is the profit percent?
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[Assistant] 24.82 %

[User]
the sale price sarees listed for rs. 200 after successive discount is 10 % and 5 % is?
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[Assistant] 171


[User]
if josh, doug, and brad have a total of $ 68 between them, and josh has two times as much money as brad but only 3 - fourths as much as doug, how much money does doug have?
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[Assistant] $ 32

[User]
the bankers discount of a certain sum of money is rs. 144 and the true discount on the same sum for the same time is rs. 120. the sum due is :
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[Assistant] 720

[User]
tammy climbed a mountain in two days. she spent a total of 14 hours climbing the mountain. on the second day, she walked at an average speed that was half a kilometer per hour faster, but 2 hours less than what she walked on the first day. if the total distance she climbed during the two days is 52 kilometers, how many t kilometers per hour did tammy walk on the second day?
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[Assistant] 4

[User]
two trains of length 120 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. in what time will they be clear of each other from the moment they meet?
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[Assistant] 20

[User]
pipe a fills a tank of capacity 950 liters at the rate of 40 liters a minute. another pipe b fills the same tank at the rate of 30 liters a minute. a pipe at the bottom of the tank drains the tank at the rate of 20 liters a minute. if pipe a is kept open for a minute and then closed and pipe b is open for a minute and then closed and then pipe c is open for a minute and then closed and the cycle is repeated, when will the tank be full?
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[Assistant] 57 minutes


[User]
a box contains 9 pairs of shoes ( 18 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 / 17

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

[User]
what is the lowest positive integer that is divisible by each of the integers 1 through 7, inclusive?
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[Assistant] 420

[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. 5225. what was his original salary?
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[Assistant] 5000

[User]
the regular price per can of a certain brand of soda is $ 0.15. if the regular price per can is discounted 10 percent when the soda is purchased in 24 - can cases, what is the price of 75 cans of this brand of soda purchased in 24 - can cases?
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[Assistant] $ 10.125


[User]
solve : - 666 x 666 x 666 + 555 x 555 x 555 =? ( 666 x 666 - 666 x 555 + 555 x 555 )
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[Assistant] 1221

[User]
when positive integer x is divided by positive integer y, the remainder is 11.52. if x / y = 96.12, what is the value of y?
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[Assistant] 96

[User]
if 213 × 16 = 3408, then 0.016 × 2.13 is equal to :
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[Assistant] 0.03408

[User]
in a certain accounting class of 90 students, 70 % of the students took the final exam on the assigned day while the rest of the students took the exam on a make - up date. if the students on the assigned day had an average score of 65 %, and the students on the make - up date had an average score of 85 %, what was the average score for the entire class?
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[Assistant] 71 %

[User]
75 boys can complete a work in 36 days. how many men need to complete twice the work in 20 days
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[Assistant] 270


[User]
a flagstaff 17.5 m high casts a shadow of length 40.25 m. the height of the building, which casts a shadow of length 28.75 m under similar conditions will be
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[Assistant] 12.5 m

[User]
three rugs have a combined area of 196 square meters. by overlapping the rugs to cover floor area of 140 square meters, the area that is covered by exactly two layers of rug is 24 square meters. what is the area that is covered with three layers of rug?
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[Assistant] 15 square meters

[User]
a line has a slope of 3 / 4 and intersects the point r ( - 12, - 39 ). at which point does this line intersect the x - axis?
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[Assistant] ( 40,0 )

[User]
180 college students were asked in a survey if they preferred windows or mac brand computers. 50 students claimed that they preferred mac to windows brand computers. one third as many of the students who preferred mac to windows, equally preferred both brands. 60 of the students had no preference. how many of the students in the survey preferred windows to mac brand computers?
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[Assistant] 70

[User]
a train is 360 meter long is running at a speed of 45 km / hour. in what time will it pass a bridge of 140 meter length?
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[Assistant] 40


[User]
shop offered 30 % offer for every shirt, smith bought a shirt at rs. 560. and what was the shop's original selling price?
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[Assistant] 800

[User]
if q = { 1, 7, 18, 20, 29, 33 }, how much less is the mean of the numbers in q than the median of the numbers in q?
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[Assistant] 1.0

[User]
company kw is being sold, and both company a and company b were considering the purchase. the price of company kw is 20 % more than company a has in assets, and this same price is also 100 % more than company b has in assets. if companies a and b were to merge and combine their assets, the price of company kw would be approximately what percent of these combined assets?
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[Assistant] 75 %

[User]
a bowl of fruit contains 12 apples and 23 oranges. how many oranges must be removed so that 60 % of the pieces of fruit in the bowl will be apples?
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[Assistant] 15

[User]
if a town of 25,000 people is growing at a rate of approx. 1 % per year, the population of the town in 5 years will be closest to?
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[Assistant] 26000


[User]
one ton has 2100 pounds, and one pound has 16 ounces. how many packets containing wheat weighing 16 pounds and 4 ounces each would totally fill a gunny bag of capacity 13 tons?
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[Assistant] 1680

[User]
the salary of a worker is first increased by 25 % and afterwards reduced by 25 %. what is the net change in the worker's salary?
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[Assistant] 6.25 % decrease

[User]
a certain lab experiments with white and brown mice only. in one experiment, 2 / 3 of the mice are white. if there are 13 brown mice in the experiment, how many mice in total are in the experiment?
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[Assistant] 39

[User]
perimeter of front wheel = 30, back wheel = 20. if front wheel revolves 240 times. how many revolutions will the back wheel take?
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[Assistant] 360

[User]
15 litres of mixture contains 25 % alcohol and the rest water. if 3 litres of water be mixed with it, the percentage of alcohol in the new mixture would be?
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[Assistant] 20.83 %


[User]
rs. 800 becomes rs. 956 in 3 years at a certain rate of simple interest. if the rate of interest is increased by 4 %, what amount will rs. 800 become in 3 years?
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[Assistant] rs. 1052

[User]
a certain college's enrollment at the beginning of 1992 was 20 percent greater than it was at the beginning of 1991, and its enrollment at the beginning of 1993 was 15 percent greater than it was at the beginning of 1992. the college's enrollment at the beginning of 1993 was what percent greater than its enrollment at the beginning of 1991?
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[Assistant] 38 %

[User]
sonika deposited rs. 6200 which amounted to rs. 7200 after 5 years at simple interest. had the interest been 3 % more. she would get how much?
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[Assistant] 8130

[User]
a bag of potatoes weighs 50 lbs divided by half of its weight. how much does the bag of potatoes weight?
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[Assistant] 10 lb

[User]
if x is a positive integer, then the least value of x for which x! is divisible by 100,000 is? can someone please explain intuitively what the question is asking?
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[Assistant] 20


[User]
there is enough provisions for 600 men in an army camp for 25 days. if there were 200 men less, how long will the provision last?
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[Assistant] 75 days

[User]
a person spent rs. 8,550 from his salary on food and 8,640 on house rent. after that he was left with 40 % of his monthly salary. what is his monthly salary?
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[Assistant] 28,650

[User]
when x is multiplied by 3, the result is 26 more than the result of subtracting x from 62. what is the value of x?
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[Assistant] 22

[User]
find the principle on a certain sum of money at 6 % per annum for 2 2 / 5 years if the amount being rs. 1120?
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[Assistant] 979

[User]
my watch gains 5 min every hour. how many degrees the second hand moves in every min?
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[Assistant] 390


[User]
if 5 cats can kill 5 rats in 5 minutes, how long will it take 100 cats to kill 100 rats?
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[Assistant] 5 minutes

[User]
4.2 x 4.2 - 1.9 x 1.9 / 2.3 x 6.1 is equal to :
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[Assistant] 1

[User]
a collection of books went on sale, and 2 / 3 of them were sold for $ 4 each. if none of the 36 remaining books were sold, what was the total amount received for the books that were sold?
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[Assistant] $ 288

[User]
calculate the number of bricks, each measuring 25 cm x 15 cm x 8 cm required to construct a wall of dimensions 10 m x 4 m x 5 m when 10 % of its volume is occupied by concrete?
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[Assistant] 6000

[User]
in how many ways 5 boys and 5 girls can be seated in a row so that boys and girls are alternate?
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[Assistant] 28800


[User]
the average monthly salary of laborers and supervisors in a factory is rs. 1250 per month ; where as the average monthly salary of 6 supervisors is rs. 2450. if the average monthly salary of the laborers is rs. 850 find the number of laborers?
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[Assistant] 18

[User]
in a digital circuit which was to implement ( a b ) + ( a ) xor ( b ), the designer implements ( a b ) ( a ) xor ( b ) what is the probability of error in it?
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[Assistant] 75 %

[User]
if 4 men can colour 48 m long cloth in 2 days, then 5 men can colour 36 m long cloth in
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[Assistant] 1.2 day

[User]
a man gains 10 % by selling an article for a certain price. if he sells it at double the price, the percentage of profit will be.
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[Assistant] 120 %

[User]
man 1 does a work in 10 days and man 2 does the same work in 15 days. in how many days they together will do the same work?
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[Assistant] 6 days


[User]
from a container having pure milk, 20 % is replaced by water and the process is repeated thrice. at the end of the third operation, the milk is
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[Assistant] 51.2 % pure

[User]
what is the greatest positive integer x such that 3 ^ x is a factor of 9 ^ 6?
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[Assistant] 12

[User]
1396 x 1396
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[Assistant] 1948816

[User]
a man invested rs. 4940 in rs. 10 shares quoted at rs. 9.50. if the rate of dividend be 14 %, his annual income is
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[Assistant] 728

[User]
if 20 gallons of grape juice are added to 40 gallons of a mixture, which contains 10 percent grape juice then what percent of the resulting mixture is grape juice?
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[Assistant] 40 %


[User]
the l. c. m. of two numbers is 30. the numbers are in the ratio 2 : 3. then sum of the number is :
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[Assistant] 25

[User]
a box has exactly 100 balls, and each ball is either red, blue, or white. if the box has 12 more blue balls than white balls, and twice as many red balls as blue balls, how many white balls does the box has?
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[Assistant] 16

[User]
bill and jane play a simple game involving two fair dice, each of which has 6 sides numbered from 1 to 6 ( with an equal chance of landing on any side ). bill rolls the dice and his score is the total of the two dice. jane then rolls the dice and her score is the total of her two dice. if jane ’ s score is higher than bill ’ s, she wins the game. what is the probability the jane will win the game?
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[Assistant] 575 / 1296

[User]
the total age of a and b is 11 years more than the total age of b and c. c is how many year younger than a
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[Assistant] 11

[User]
if the sides of a triangle are 30 cm, 40 cm and 50 cm, what is its area?
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[Assistant] 600


[User]
( 6! - 4! ) / 5! =?
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[Assistant] 29 / 5

[User]
a sum of money is sufficient to pay p's wages for 24 days and q's wages for 40 days. the same money is sufficient to pay the wages of both for?
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[Assistant] 15

[User]
if i walk at 5 km / h, i miss the bus by 9 minutes. if i walk at 3 km / h, i reach 6 minutes before the arrival of the bus. how far i walk to reach the bus stand?
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[Assistant] 1.87 km

[User]
tom opened a shop investing rs. 30000. jose joined him 2 months later, investing rs. 45000. they earned a profit of rs. 27000 after completion of one year. what will be jose's share of profit?
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[Assistant] 15000

[User]
how many numbers from 10 to 50 are exactly divisible by 9?
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[Assistant] 14


[User]
a certain family has 3 sons : richard is 6 years older than david, and david is 8 years older than scott. if in 8 years, richard will be twice as old as scott, then how old was david 7 years ago?
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[Assistant] 7

[User]
in a competitive examination in state a, 6 % candidates got selected from the total appeared candidates. state b had an equal number of candidates appeared and 7 % candidates got selected with 84 more candidates got selected than a. what was the number of candidates appeared from each state?
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[Assistant] 8400

[User]
find the area of a parallelogram with base 34 cm and height 18 cm?
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[Assistant] 612 cm 2

[User]
a car started running at a speed of 30 km / hr and the speed of the car was increased by 2 km / hr at the end of every hour. find the total distance covered by the car in the first 10 hours of the journey?
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[Assistant] 390

[User]
in a sports club with 35 members, 15 play badminton and 18 play tennis and 5 do not play either. how many members play both badminton and tennis?
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[Assistant] 3


[User]
a polling company surveyed a certain country, and it found that 35 % of that country ’ s registered voters had an unfavorable impression of both of that state ’ s major political parties and that 20 % had a favorable impression only of party e. if one registered voter has a favorable impression of both parties for every two registered voters who have a favorable impression only of party b, then what percentage of the country ’ s registered voters have a favorable impression of both parties ( assuming that respondents to the poll were given a choice between favorable and unfavorable impressions only )?
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[Assistant] 15

[User]
if y ¤ w = y ^ ( 2 w ) for all positive integers, then ( 3 ¤ 4 ) ¤ 2 =
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[Assistant] 3 ^ 32

[User]
a typist uses a sheet measuring 20 cm by 30 cm lengthwise. if a margin of 2 cm is left on each side and a 3 cm margin on top and bottom, then percent of the page used for typing is
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[Assistant] 64

[User]
the h. c. f. of two numbers is 12 and their difference is 12. the numbers are :
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[Assistant] 84, 96

[User]
john, james and jim'investment ratio in a business is 4 : 7 : 9. if total total investment is 80000. find jim's investment?
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[Assistant] 36000


[User]
two persons a and b can complete a piece of work in 30 days and 45 days respectively. if they work together, what part of the work will be completed in 3 days?
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[Assistant] 1 / 6

[User]
calculate how long it will take a swimmer to swim a distance of 8 km against the current of a river which flows at 1.4 km / hr, given that he can swim in still water at 3 km / h
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[Assistant] 5

[User]
if a no. when divided by 44, gives 432 as quotient and 0 as remainder. what will be the remainder when dividing the same no. by 39
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[Assistant] 15

[User]
a satellite is composed of 24 modular units, each of which is equipped with a set of sensors, some of which have been upgraded. each unit contains the same number of non - upgraded sensors. if the number of non - upgraded sensors on one unit is 1 / 8 the total number of upgraded sensors on the entire satellite, what fraction of the sensors on the satellite have been upgraded?
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[Assistant] 1 / 4

[User]
if the operation ø is defined for all positive integers x and w by x ø w = ( 2 ^ x ) / ( 2 ^ w ) then ( 4 ø 2 ) ø 1 =?
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[Assistant] 8


[User]
if 3 ^ x * 4 ^ y = 531,441 and x – y = 12, then x =?
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[Assistant] 12

[User]
a man buys a cycle for rs. 2300 and sells it at a loss of 30 %. what is the selling price of the cycle?
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[Assistant] s. 1610

[User]
how many hours are there in 660 minutes?
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[Assistant] 11 hours

[User]
a is twice as good a workman as b and they took 9 days together to do the work b alone can do it in?
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[Assistant] 27 days

[User]
tom read a book containing 480 pages by reading the same number of pages each day. if he would have finished the book 5 days earlier by reading 16 pages a day more, how many days did tom spend reading the book?
Answer the question using a single word or phrase.

[Assistant] 15


[User]
the ratio of money with ram and gopal is 7 : 17 and that with gopal and krishan is 7 : 17. if ram has rs. 637, krishan has?
Answer the question using a single word or phrase.

[Assistant] s. 3757

[User]
last week david spent 40 percent of his wages on recreation. this week, his wages are 5 percent less than last week ʼ s wages and he spent 50 percent of his wages on recreation. the amount he spends on recreation this week is what percent of the amount he spent on recreation last week
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[Assistant] 118.75 %

[User]
the data a and b are equal to the data subtracted c ; the data b is 3 times the data a ; if the data a is equal to 12 what is the sum of the data a, b and c?
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[Assistant] 96

[User]
the population of a town is 30000. it decreases annually at the rate of 20 % p. a. what will be its population after 2 years?
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[Assistant] 19200

[User]
a, b and c invest in the ratio of 3 : 4 : 5. the percentage of return on their investments are in the ratio of 6 : 5 : 4. find the total earnings, if b earns rs. 150 more than a :
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[Assistant] 4350


[User]
a man can row downstream at 18 kmph and upstream at 6 kmph. find the speed of the man in still water and the speed of stream respectively?
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[Assistant] 6

[User]
a lady builds 10 cm length, 18 cm width, and 4 cm height box using 12 cubic cm cubes. what is the minimum number of cubes required to build the box?
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[Assistant] 60

[User]
the sum of the first 80 positive even integers is 2,550. what is the sum of the odd integers from 101 to 200, inclusive?
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[Assistant] 10,500

[User]
a 300 m long train crosses a platform in 45 sec while it crosses a signal pole in 18 sec. what is the length of the platform?
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[Assistant] 450

[User]
in assembling a bluetooth device, a factory uses one of two kinds of modules. one module costs $ 10 and the other one, that is cheaper, costs $ 3.5. the factory holds a $ 45 worth stock of 11 modules. how many of the modules in the stock are of the cheaper kind?
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[Assistant] 10


[User]
the average salary of all the workers in a workshop is rs. 10000. the average salary of 7 technicians is rs. 12000 and the average salary of the rest is rs. 8000. the total number of workers in the workshop is :
Answer the question using a single word or phrase.

[Assistant] 14

[User]
a salt manufacturing company produced a total of 4000 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] 149

[User]
a little girl is numbering her collection of butterflies by placing single - digit stickers under each specimen. if the girl has 330 butterflies, how many stickers does she need? ( the numbers are consecutive and the number of the first butterfly is 1 ).
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[Assistant] 882

[User]
a batsman in his 17 th innings makes a score of 80, and thereby increases his average by 2. what is his average after the 17 th innings? he had never been ’ not out ’.
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[Assistant] 48

[User]
19 times a number gives 342. the number is
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[Assistant] 18


[User]
1.45, 2.56, 4.78, 8.11, 12.55, (.... )
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[Assistant] 18.1

[User]
how many positive integers less than 1000 are multiples of 5 but not of 4 or 7?
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[Assistant] 122

[User]
whats the reminder when 445876, 985420, 215546, 656452 is divided by 8
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[Assistant] 4

[User]
each day a man meets his wife at the train station after work, and then she drives him home. she always arrives exactly on time to pick him up. one day he catches an earlier train and arrives at the station an hour early. he immediately begins walking home along the same route the wife drives. eventually his wife sees him on her way to the station and drives him the rest of the way home. when they arrive home the man notices that they arrived 10 minutes earlier than usual. how much time did the man spend walking?
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[Assistant] 55 minutes

[User]
in what time will a railway train 75 m long moving at the rate of 50 kmph pass a telegraph post on its way?
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[Assistant] 5.4


[User]
in a division sum, the remainder is 6 and the divisor is 5 times the quotient and is obtained by adding 27 to the thrice of the remainder. the dividend is
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[Assistant] 186

[User]
the sum of two numbers is 64, and one of them is 12 more than the other. what are the two numbers?
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[Assistant] 26 - 38

[User]
two whole numbers whose sum is 36 can not be in the ratio
Answer the question using a single word or phrase.

[Assistant] 3 : 4

[User]
if x ⁄ 2 + 3 ⁄ 4 = 9 ⁄ 4, what is the value of x?
Answer the question using a single word or phrase.

[Assistant] 3

[User]
a man is 24 years older than his son. in two years, his age will be twice the age of his son. the present age of the son is
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[Assistant] 22 years


[User]
for a race a distance of 224 meters can be covered by p in 16 seconds and q in 32 seconds. by what distance does p defeat q eventually?
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[Assistant] 224 m

[User]
a merchant has selected two items to be placed on sale, one of which currently sells for 25 percent less than the other. if he wishes to raise the price of the cheaper item so that the two items are equally priced, by what percentage must he raise the price of the less expensive item?
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[Assistant] 30 %

[User]
if the wheel is 15 cm then the number of revolutions to cover a distance of 1540 cm is?
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[Assistant] 16

[User]
you enter a weight loss challenge game and manage to lose 14 % of your body weight. for the final weigh in you are forced to wear clothes that add 2 % to your weight. what percentage of weight loss is measured at the final weigh in?
Answer the question using a single word or phrase.

[Assistant] 12.28 %

[User]
in what proportion must flour at $ 0.8 per pound be mixed with flour at $ 0.9 per pound so that the mixture costs $ 0.865 per pound?
Answer the question using a single word or phrase.

[Assistant] 1 : 2


[User]
in a two - digit number, if it is known that its unit's digit exceeds its 10's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is :
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[Assistant] 24

[User]
what is the greatest value of positive integer x such that 2 ^ x is a factor of 100 ^ 70?
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[Assistant] 140

[User]
a certain box has 12 cards and each card has one of the integers from 1 to 12 inclusive. each card has a different number. if 2 different cards are selected at random, what is the probability that the sum of the numbers written on the 2 cards is less than the average ( arithmetic mean ) of all the numbers written on the 12 cards?
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[Assistant] 1 / 11

[User]
the average of first five multiples of 4 is?
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[Assistant] 12

[User]
priya takes a trip and drives 5 hours from town x to town z at a rate of 50 miles per hour. on her way back, priya drives 60 miles per hour and stops in town y which is midway between town x and town z. how many hours does it take scott to drive from town z to town y?
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[Assistant] 2.08


[User]
in a ratio which is equal to 4 : 6, if the antecedent is 50, then the consequent is?
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[Assistant] 75

[User]
shekar scored 76, 65, 82, 67 and 85 marks in mathematics, science, social studies, english and biology respectively. what are his average marks?
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[Assistant] 75

[User]
an escalator moves towards the top level at the rate of 12 ft. sec and its length is 210 feet. if a person walks on the moving escalator at the rate of 2 feet per second towards the top level, how much time does he take to cover the entire length.
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[Assistant] 15 sec

[User]
two employees x and y are paid a total of rs. 800 per week by their employer. if x is paid 120 percent of the sum paid to y, how much is y paid per week?
Answer the question using a single word or phrase.

[Assistant] s. 363.63

[User]
elena ’ s bread recipe calls for 5 ounces of butter for each 7 cups of flour used. she needs to make 4 times the original recipe. if 12 ounces of butter is used, then how many cups of flour are needed?
Answer the question using a single word or phrase.

[Assistant] 28


[User]
tom left a job paying $ 75000 per year to accept a sales job paying $ 45000 per year plus 15 percent commission. if each of his sales is for $ 750, what is the least number of sales he must make per year if he is not to lose money because of the change?
Answer the question using a single word or phrase.

[Assistant] 267

[User]
there are 192 items that are members of set u. of these items, 49 are members of set b, 59 are not members of either of set a or set b, and 23 are members of both sets a and b. how many of the members of set u are members of set a?
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[Assistant] 107

[User]
a family travelled for 12 hours. they covered the first half of the distance at 35 kmph and remaining half of the distance at 40 kmph. find the distance travelled by the family?
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[Assistant] 560 km

[User]
of the 250 employees at company x, 80 are full - time, and 100 have worked at company x for at least a year. there are 20 employees at company x who aren ’ t full - time and haven ’ t worked at company x for at least a year. how many full - time employees of company x have worked at the company for at least a year?
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[Assistant] 100

[User]
the difference between the compound interest compounded annually and simple interest for 2 years at 20 % per annum is rs. 360. find the principal?
Answer the question using a single word or phrase.

[Assistant] 9000


[User]
the average of 6 integers is 63, and none of these integers is greater than 100. if the average of 3 of the integers is 65, what is the least possible value of one of the other two integers?
Answer the question using a single word or phrase.

[Assistant] 83

[User]
in a flight of 600 km, an aircraft was slowed down due to bad weather. its average speed for the trip was reduced by 200 km / hr and the time of flight increased by 30 minutes. what is the duration of the flight?
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[Assistant] 1 hour

[User]
what is the tens digit of 7 ^ 1415?
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[Assistant] 4

[User]
the ratio of 2 numbers is 3 : 4 and their h. c. f. is 4. their l. c. m. is?
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[Assistant] 48

[User]
a 140 cm long wire is to be cut into two pieces so that one piece will be 2 / 5 th of the other, how many centimeters will the shorter piece be?
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[Assistant] 40


[User]
the sum of 3 consecutive numbers is definitely :
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[Assistant] divisible by 3

[User]
a tree is 12 m tall and casts an an 8 m long shadow. at the same time, a flag pole caste a 100 m long shadow. how long is the flag pole?
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[Assistant] 150 m

[User]
in a division sum, the remainder is 4 and the divisor is 3 times the quotient and is obtained by adding 2 to the thrice of the remainder. the dividend is :
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[Assistant] 53

[User]
if x is equal to the sum of the integers from 20 to 30, inclusive, and y is the number of even integers from 20 to 30, inclusive, what is the value of x + y?
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[Assistant] 281

[User]
the difference between c. i. and s. i. on an amount of $ 10,000 for 2 years is $ 36. what is the rate of interest per annum?
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[Assistant] 6 %


[User]
a cistern can be filled by a tap in 3 hours while it can be emptied by another tap in 6 hours. if both the taps are opened simultaneously, then after how much time will the cistern get filled?
Answer the question using a single word or phrase.

[Assistant] 6 hrs

[User]
in an election between two candidates, the winner has a margin of 10 % of the votes polled. if 3000 people change their mind and vote for the loser, the loser would have won by a margin of 10 % of the votes polled. find the total number of votes polled in the election?
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[Assistant] 30000

[User]
a departmental store has 9 managers and 18 associates. the 9 managers have an average salary of $ 1300. the 18 associates have an average salary of $ 12000. what is the average salary for the departmental store?
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[Assistant] $ 3988.89

[User]
how many different positive integers are factors of 256?
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[Assistant] 16

[User]
find the fraction which has the same ratio to 2 / 13 that 5 / 34 has to 7 / 48?
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[Assistant] 240 / 1547


[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 70 % more recliners. what is the percentage increase of the gross?
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[Assistant] 36 %

[User]
the least number, which when divided by 12, 31, 20 and 54 leaves in each case a remainder of 8 is :
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[Assistant] 16748

[User]
timothy drove at an average speed of 10 mph for some time and then at an average speed of 50 mph for the rest of the journey. if he made no stops during the trip and his average speed for the entire journey was 40 mph, for what fraction of the total time did he drive at 50 mph?
Answer the question using a single word or phrase.

[Assistant] 3 / 4

[User]
a certain car uses 12 gallons of gasoline in traveling 420 miles. in order for the car to travel the same distance using 10 gallons of gasoline, by how many miles per gallon must the car ’ s gas mileage be increased?
Answer the question using a single word or phrase.

[Assistant] 7

[User]
in august, a cricket team that played 120 matches won 26 % of the games it played. after a continuous winning streak, this team raised its average to 52 %. how many matches did the team win to attain this average?
Answer the question using a single word or phrase.

[Assistant] 65


[User]
the average weight of a, b and c is 65 kg. if the average weight of a and b be 60 kg and that of b and c be 70 kg, then the weight of a is :
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[Assistant] 55 kg

[User]
a, b and c can do a piece of work in 7 days, 14 days and 28 days respectively. how long will they taken, if all the three work together?
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[Assistant] 4

[User]
if a ^ 2 + b ^ 2 = 15 and ab = 10, what is the value of the expression ( a - b ) ^ 2 + ( a + b ) ^ 2
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[Assistant] 30

[User]
a, b and c rent a pasture. if a puts 10 oxen for 7 months, b puts 12 oxen for 5 months and c puts 15 oxen for 3 months for grazing and the rent of the pasture is rs. 105, then how much amount should c pay as his share of rent?
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[Assistant] 27

[User]
mary passed a certain gas station on a highway while traveling west at a constant speed of 50 miles per hour. then, 15 minutes later, paul passed the same gas station while traveling west at a constant speed of 80 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?
Answer the question using a single word or phrase.

[Assistant] 25


[User]
in a recent head - to - head run - off election, 18,000 absentee ballets were cast. 3 / 7 of the absentee ballets were thrown out and 2 / 9 of the remaining absentee ballets were cast for candidate a. how many absentee votes did candidate b receive?
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[Assistant] 8,000

[User]
how many multiples of 2 are there between 10 and 100 ( both are inclusive )?
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[Assistant] 46

[User]
if 25 % of a number exceeds 8 % of it by 11.9, then find the number?
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[Assistant] 70

[User]
in a 20 litre mixture ratio of milk and water is 3 : 1. how much milk should added so that mixture ratio become 4 : 1?
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[Assistant] 5

[User]
the price of an item is discounted 5 percent on day 1 of a sale. on day 2, the item is discounted another 5.00001 percent, and on day 3, it is discounted an additional 10 percent. the price of the item on day 3 is what percentage of the sale price on day 1?
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[Assistant] 85.5 %


[User]
a 14 cm long wire is to be cut into two pieces so that one piece will be 2 / 5 th of the other, how many centimeters will the shorter piece be?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
what is the smallest positive perfect square that is divisible by 9, 15, and 25?
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[Assistant] 225

[User]
a certain taxi company charges $ 2.50 for the first 1 / 5 of a mile plus $ 0.40 for each additional 1 / 5 of a mile. what would this company charge for a taxi ride that was 8 miles long?
Answer the question using a single word or phrase.

[Assistant] 18.1

[User]
a boat can travel with a speed of 13 km / hr in still water. if the speed of the stream is 6 km / hr, find the time taken by the boat to go 69 km downstream.
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[Assistant] 3.6 hr

[User]
a string of 50 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 0.05, what is the probability that the string of light bulbs will fail during the time period t?
Answer the question using a single word or phrase.

[Assistant] 1 - ( 0.95 ) ^ 50


[User]
a sum was put at simple interest at a certain rate for 7 years had it been put at 2 % higher rate, it would have fetched 140 more. find the sum.
Answer the question using a single word or phrase.

[Assistant] 1000

[User]
zachary is helping his younger brother, sterling, learn his multiplication tables. for every question that sterling answers correctly, zachary gives him 3 pieces of candy. for every question that sterling answers incorrectly, zachary takes away two pieces of candy. after 8 questions, if sterling had answered 2 more questions correctly, he would have earned 31 pieces of candy. how many of the 8 questions did zachary answer correctly?
Answer the question using a single word or phrase.

[Assistant] 8

[User]
a positive number x is multiplied by 7, and this product is then divided by 3. if the positive square root of the result of these two operations equals x, what is the value of x?
Answer the question using a single word or phrase.

[Assistant] 7 / 3

[User]
the average salary of all the workers in a workshop is rs. 8000. the average salary of 7 technicians is rs. 18000 and the average salary of the rest is rs. 6000. the total number of workers in the workshop is :
Answer the question using a single word or phrase.

[Assistant] 42

[User]
a company charges a fixed rental of rs. 350 per month. it allows 200 calls free per month. each call is charge at rs. 1.4 when the number of calls exceed 200 per month and it charges rs. 1.6 when the number of calls exceeds 400 per month and so on. a customer made 150 calls in february and 250 calls in march. by how much percent each call is cheaper in march than each call in february.
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[Assistant] 28 %


[User]
3 * 12 + 3 * 13 + 3 * 16 + 11 =?
Answer the question using a single word or phrase.

[Assistant] 134

[User]
a certain roller coaster has 7 cars, and a passenger is equally likely to ride in any 1 of the 7 cars each time that passenger rides the roller coaster. if a certain passenger is to ride the roller coaster 7 times, what is the probability that the passenger will ride in each of the 7 cars?
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[Assistant] 720 / 16807

[User]
what is the greatest of 3 consecutive integers whose sum is 18?
Answer the question using a single word or phrase.

[Assistant] 7

[User]
a man can row his boat with the stream at 16 km / h and against the stream in 4 km / h. the man's rate is?
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[Assistant] 6 kmph

[User]
a hat company ships its hats, individually wrapped, in 8 - inch by 10 - inch by 12 - inch boxes. each hat is valued at $ 6.0. if the company ’ s latest order required a truck with at least 288,000 cubic inches of storage space in which to ship the hats in their boxes, what was the minimum value of the order?
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[Assistant] $ 1,800


[User]
a certain quantity of 45 % solution is replaced with 25 % solution such that the new concentration is 35 %. what is the fraction of the solution that was replaced?
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[Assistant] 1 / 2

[User]
there are 16 bees in the hive, then 8 more fly. how many bees are there in all?
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[Assistant] 24

[User]
let raj be 3 years older than ravi and hema be two years younger than ravi. raj is 3 times as old as rahul who is hema ’ s brother. the ratio of the ages of hema and her brother is 3 : 2. find by how much percentage raj ’ s age is more than hema ’ s when raj will be 20 years old.
Answer the question using a single word or phrase.

[Assistant] 33.33

[User]
the salaries of a and b together amount to $ 6000. a spends 95 % of his salary and b, 85 % of his. if now, their savings are the same, what is a's salary?
Answer the question using a single word or phrase.

[Assistant] $ 4500

[User]
gopi gives rs. 90 plus one turban as salary to his servant for one year. the servant leaves after 9 months and receives rs. 50 and the turban. find the price of the turban.
Answer the question using a single word or phrase.

[Assistant] 70


[User]
an empty fuel tank with a capacity of 214 gallons was filled partially with fuel a and then to capacity with fuel b. fuel a contains 12 % ethanol by volume and fuel b contains 16 % ethanol by volume. if the full fuel tank contains 30 gallons of ethanol, how many gallons of fuel a were added?
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[Assistant] 106

[User]
if 27.5 % of the 880 students at a certain college are enrolled in biology classes, how many students at the college are not enrolled in a biology class?
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[Assistant] 638

[User]
the ratio of local and international calls made by amy this week is 5 to 2. if the ratio changes to 5 to 3 after amy makes 3 more international calls, how many local calls did amy make this week?
Answer the question using a single word or phrase.

[Assistant] 15

[User]
on a sum of money, the simple interest for 2 years is rs. 660, while the compound interest is rs. 696.30, the rate of interest being the same in both the cases. the rate of interest is :
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[Assistant] none of these

[User]
what is the ratio between perimeters of two squares one having 4 times the diagonal then the other?
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[Assistant] 4 : 1


[User]
what is the distance covered by a train if it travels with a speed of 150 kmh for 8 hours?
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[Assistant] 1200 km

[User]
following an increase in prices, the price of a candy box was 10 pounds and the price of a can of soda was 12 pounds. if the price of a candy box was raised by 25 %, and the price of a can of soda was raised by 50 %. what was the price of a box of candy plus a can of soda before prices were raised?
Answer the question using a single word or phrase.

[Assistant] 16.

[User]
of the 120 passengers on flight 750, 55 % 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] 58

[User]
if x ^ 2 + 1 / x ^ 2 = 9, what is the value of x ^ 4 + 1 / x ^ 4?
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[Assistant] 79

[User]
a certain no. when divided by 65 leaves a remainder 25, what is the remainder if the same no. be divided by 15?
Answer the question using a single word or phrase.

[Assistant] 6


[User]
a, b and c started a partnership business by investing rs. 24000, rs. 32000, rs. 36000 respectively. at the end of the year, the profit were distributed among them. if c's share of profit is 36000, what is the total profit?
Answer the question using a single word or phrase.

[Assistant] 92000

[User]
the prices of tea and coffee per kg were the same in june. in july the price of coffee shot up by 20 % and that of tea dropped by 20 %. if in july, a mixture containing equal quantities of tea and coffee costs 60 / kg. how much did a kg of coffee cost in june?
Answer the question using a single word or phrase.

[Assistant] 60

[User]
brenda and sally run in opposite direction on a circular track, starting at diametrically opposite points. they first meet after brenda has run 300 meters. they next meet after sally has run 150 meters past their first meeting point. each girl runs at a constant speed. what is the length of the track in meters?
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[Assistant] 700

[User]
a person travels equal distances with speeds of 8 km / hr, 9 km / hr and 10 km / hr and takes a total time of 47 minutes. the total distance is?
Answer the question using a single word or phrase.

[Assistant] 7 km

[User]
when positive integer n is divided by positive integer j, the remainder is 16. if n / j = 127.05, what is value of j?
Answer the question using a single word or phrase.

[Assistant] 320


[User]
the ratio of the ages of mini and minakshi is 4 : 3. the sum of their ages is 28 years. the ratio of their ages after 5 years will be
Answer the question using a single word or phrase.

[Assistant] 22 : 17

[User]
there is an antique clock exhibition. so many clock are piled up with distinct numbers tagged with them. the person managing it hangs different clocks numbers periodically on the main wall. at 9 : 20 am, he hung the clock number 200 ; at 11 : 00 am, he hung the clock number 30 ; at 4 : 00 pm, he hung the clock number 240. which numbered clock will he hang on the wall when the time is 7 : 30 pm?
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[Assistant] 315

[User]
the mean of 30 values was 150. it was detected on rechecking that one value 165 was wrongly copied as 135 for the computation of the mean. find the correct mean.
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[Assistant] 151

[User]
machine a and machine b are each used to manufacture 550 sprockets. it takes machine a 10 hours longer to produce 660 sprockets than machine b. machine b produces 10 % more sprockets per hour than machine a. how many sprockets per hour does machineaproduce?
Answer the question using a single word or phrase.

[Assistant] 5.5

[User]
a batch of cookies was divided amomg 4 tins : 2 / 3 of all the cookies were placed in either the blue or the green tin, and the rest were placed in the red tin. if 1 / 4 of all the cookies were placed in the blue tin, what fraction of the cookies that were placed in the other tins were placed in the green tin
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[Assistant] 5 / 8


[User]
there are, in a certain league, 8 teams, and each team face another team for a total of 12 times. how many games are played in the season?
Answer the question using a single word or phrase.

[Assistant] 144

[User]
a man spends rs. 1700 per month on an average for the first 3 months, rs 1550 for next 4 months and rs. 1800 per month for the last 5 months and saves rs. 5200 a year. what is his average monthly income?
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[Assistant] 2125

[User]
25 x 10 + 25 x 11 =?
Answer the question using a single word or phrase.

[Assistant] 525

[User]
the average of 25 results is 45. the average of first 12 of those is 14 and the average of last 12 is 17. what is the 13 th result?
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[Assistant] 708

[User]
the sale price sarees listed for rs. 400 after successive discount is 20 % and 15 % is?
Answer the question using a single word or phrase.

[Assistant] 272


[User]
a bag contains 3 blue and 5 white marbles. one by one, marbles are drawn out randomly until only two are left in the bag. what is the probability q that out of the two, one is white and one is blue?
Answer the question using a single word or phrase.

[Assistant] 15 / 28

[User]
in what proportion must rice at rs 3.10 per kg be mixed with rice at rs 3.60 per kg, so that the mixture be worth rs 3.25 a kg?
Answer the question using a single word or phrase.

[Assistant] 7 / 3

[User]
of the families in city x in 1994, 40 percent owned a personal computer. the number of families in city x owning a computer in 1998 was 30 percent greater than it was in 1994, and the total number of families in city x was 4 percent greater in 1998 than it was in 1994. what percent of the families in city x owned a personal computer in 1998?
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[Assistant] 50 %

[User]
one - third less than 35 % of 180 is equal to :
Answer the question using a single word or phrase.

[Assistant] 42

[User]
country x imported approximately $ 1.44 billion of goods in 1996. if country x imported $ 420 million of goods in the first two months of 1997 and continued to import goods at the same rate for the rest of the year, by how much would country xs 1997 imports exceed those of 1996?
Answer the question using a single word or phrase.

[Assistant] $ 1080 million


[User]
a certain mixture of nuts consists of 5 parts almonds to 2 parts walnuts, by weight. what is the number of pounds of almonds in 210 pounds of the mixture?
Answer the question using a single word or phrase.

[Assistant] 150

[User]
the simple interest on a sum of money will be rs. 1200 after 10 years. if the principal is trebled after 5 years what will be the total interest at the end of the tenth year?
Answer the question using a single word or phrase.

[Assistant] 2400

[User]
pipe p can drain the liquid from a tank in 4 / 4 the time that it takes pipe q to drain it and in 2 / 3 the time that it takes pipe r to do it. if all 3 pipes operating simultaneously but independently are used to drain liquid from the tank, then pipe q drains what portion of the liquid from the tank?
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[Assistant] 3 / 8

[User]
a number whose fifth part increased by 4 is equal to its fourth part diminished by 4 is?
Answer the question using a single word or phrase.

[Assistant] 160

[User]
a, b, c together can earn $ 600 per day. while a and c together earn $ 400 and b and c together can earn $ 300. the daily earnings of c?
Answer the question using a single word or phrase.

[Assistant] $ 100


[User]
a can do a piece of work in 3 days of 5 hours each and b alone can do it in 5 days of 3 hours each. how long will they take it to do working together 3 / 4 hours a day?
Answer the question using a single word or phrase.

[Assistant] 10 days

[User]
if the price of a certain bond on may 1 st was 3 / 4 the price of the bond on june 1 st and the price of the bond on july 1 st was 50 % greater than the price of the bond on may 1 st. then the price of the bond on june 1 st st was what percent of the average ( arithmetic mean ) price of the bond on may 1 st and july 1 st?
Answer the question using a single word or phrase.

[Assistant] 114.28 %

[User]
a 300 m long train crosses a platform in 40 sec while it crosses a signal pole in 18 sec. what is the length of the platform?
Answer the question using a single word or phrase.

[Assistant] 367

[User]
the average age of a class of 25 students is 26 years. the average increased by 1 when the teacher's age also included. what is the age of the teacher?
Answer the question using a single word or phrase.

[Assistant] 52

[User]
the difference between two numbers is 1356. when the larger number is divided by the smaller one, the quotient is 6 and the remainder is 15. the smaller number is
Answer the question using a single word or phrase.

[Assistant] 270


[User]
how long will it take a train travelling at 98 kmph to pass an electric pole if the train is 140 m long
Answer the question using a single word or phrase.

[Assistant] 5.15

[User]
a train can travel 50 % faster than a car. both start from point a at the same time and reach point b 75 kms away from a at the same time. on the way, however, the train lost about 12.5 minutes while stopping at the stations. the speed of the car is :
Answer the question using a single word or phrase.

[Assistant] 120 kmph

[User]
by approximately what percent is x greater than 1 / 2 if ( 1 / 2 ) ( x ) = 1?
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[Assistant] 300 %

[User]
set x consists of all two - digit primes and set y consists of all positive multiples of 6 less than 100. if the two sets are combined into one, what will be the range of the new set?
Answer the question using a single word or phrase.

[Assistant] 91

[User]
if the median of a list of numbers is m, the first quartile of the list is the median of the numbers in the list that are less than m. what is the first quartile of the list of numbers 42, 23, 30, 22, 26, 19, 33 and 35?
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[Assistant] 22.5


[User]
a reduction of 25 % in the price of oil enables a house wife to obtain 5 kgs more for rs. 800, what is the reduced price for kg?
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[Assistant] 40

[User]
37. if the cost price of 15 tables be equal to the selling price of 20 tables, the loss per cent is?
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[Assistant] 25 %

[User]
the number 46 can be written as the sum of the squares of 3 different positive integers. what is the sum of these 3 integers?
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[Assistant] 10

[User]
find the amount on rs. 5000 in 2 years, the rate of interest being 5 % per first year and 6 % for the second year?
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[Assistant] 5565

[User]
how many trailing zeroes does 49! + 50! have?
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[Assistant] 10


[User]
the average of numbers 0.64206, 0.64207, 0.64208 and 0.64209 is?
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[Assistant] 0.642075

[User]
a textile manufacturing firm employees 80 looms. it makes fabrics for a branded company. the aggregate sales value of the output of the 80 looms is rs 5, 00,000 and the monthly manufacturing expenses is rs 1, 50,000. assume that each loom contributes equally to the sales and manufacturing expenses are evenly spread over the number of looms. monthly establishment charges are rs 75000. if one loom breaks down and remains idle for one month, the decrease in profit is :
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[Assistant] 4375

[User]
a hiker walking at a constant rate of 4 kilometers per hour is passed by a cyclist travelling in the same direction along the same path at a constant rate of 12 kilometers per hour. the cyclist stops and waits for the hiker 5 minutes after passing her while the hiker continues to walk at her constant rate. how many minutes must the cyclist wait until the hiker catches up?
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[Assistant] 10

[User]
a milk man has 30 liters of milk. if he mixes 5 liters of water, which is freely available, in 20 liters of pure milk. if the cost of pure milk is rs. 18 per liter, then the profit of the milkman, when he sells all the mixture at cost price is :
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[Assistant] 35 %

[User]
of the goose eggs laid at a certain pond, 2 / 3 hatched and 3 / 4 of the geese that hatched from those eggs survived the first month. of the geese that survived the first month, 3 / 5 did not survive the first year. if 180 geese survived the first year and if no more than one goose hatched from each egg, how many goose eggs were laid at the pond?
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[Assistant] 900


[User]
20 litres of mixture of acid and water contain 10 % water. how much water should be added so that percentage of water becomes 20 % in this mixture?
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[Assistant] 2 l

[User]
what will be the remainder when 8 - 3 + 3 ^ 5 + 2 ^ 10 is divided by 4?
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[Assistant] 0

[User]
two trains, one from howrah to patna and the other from patna to howrah, start simultaneously. after they meet, the trains reach their destinations after 9 hours and 64 hours respectively. the ratio of their speeds is?
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[Assistant] 8 : 3

[User]
a trader bought a car at 15 % discount on its original price. he sold it at a 40 % increase on the price he bought it. what percent of profit did he make on the original price?
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[Assistant] 119

[User]
the ratio between the present ages of a and b is 6 : 3 respectively. the ratio between a's age 4 years ago and b's age 4 years hence is 1 : 1. what is the ratio between a's age 4 years hence and b's age 4 years ago?
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[Assistant] 5 : 1


[User]
if the height of a cone is increased by 100 % then its volume is increased by?
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[Assistant] 100 %

[User]
a watch was sold at a loss of 10 %. if it was sold for rs. 225 more, there would have been a gain of 5 %. what is the cost price?
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[Assistant] 1500

[User]
in what time will a train 60 m long cross an electric pole, it its speed be 144 km / hr?
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[Assistant] 1.5 sec

[User]
how much is 50 % of 40 is greater than 4 / 5 of 25?
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[Assistant] 0

[User]
a certain telescope increases the visual range at a particular location from 80 kilometers to 150 kilometers. by what percent is the visual range increased by using the telescope?
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[Assistant] 87.5 %


[User]
if ( x + yi ) / i = ( 7 + 9 i ), where x and y are real, what is the value of ( x + yi ) ( x - yi )?
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[Assistant] 130

[User]
how long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 240 m in length?
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[Assistant] 21.00 sec

[User]
convert 250 inches into centimeter?
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[Assistant] 635 cm

[User]
it takes 40 identical printing presses 12 hours to print 500,000 papers. how many hours would it take 30 of these printing presses to print 500,000 papers?
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[Assistant] 16

[User]
a certain company reported that the revenue on sales increased 60 % from 2000 to 2003, and increased 80 % from 2000 to 2005. what was the approximate percent increase in revenue for this store from 2003 to 2005?
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[Assistant] 13 %


[User]
a cistern which could be filled in 4 hours takes one hour more to be filled owing to a leak in its bottom. if the cistern is full in what time will the leak empty it?
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[Assistant] 20 / 3 hrs

[User]
let p be a prime number. if n = 7 p, how many divisors does n have?
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[Assistant] 2

[User]
in a factory there are 3 types of machine m 1, m 2 and m which produces 25 %, 35 % and 40 % of the total products respectively. m 1, m 2 and m 3 produces 2 %, 4 % and 5 % defective products, respectively. what is the percentage of non - defective products?
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[Assistant] 96.1 %

[User]
if a = - 1, what is the value of – ( a ^ 2 + a ^ 3 + a ^ 4 + a ^ 5 + a ^ 6 )?
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[Assistant] - 1

[User]
6 animals of a circus has to be placed inside in 6 cages one in each cage. if 4 of the cage are too small for 6 of the animal then find the number of ways of caging the animal.
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[Assistant] a. 240


[User]
a goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 30 seconds. what is the length of the goods train?
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[Assistant] 350 m

[User]
in a class of 20 students, 3 students did not borrow any books from the library, 9 students each borrowed 1 book, 4 students each borrowed 2 books, and the rest borrowed at least 3 books. if the average number of books per student was 2, what is the maximum number of books any single student could have borrowed?
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[Assistant] 14

[User]
the speed at which a man can row a boat in still water is 6 km / hr. if he rows downstream, where the speed of current is 3 km / hr, how many seconds will he take to cover 80 meters?
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[Assistant] 32

[User]
a prison of 10,000 inmates has enough food to feed them all for 50 days. after 10 days some of the inmates leave and the food is now enough for the same period of 50 days as before. how many of them left?
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[Assistant] 2,000

[User]
a retailer buys a radio for rs 225. his overhead expenses are rs 15. he sellis the radio for rs 300. the profit percent of the retailer is
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[Assistant] 25 %


[User]
if teena is driving at 55 miles per hour and is currently 7.5 miles behind joe, who is driving at 40 miles per hour in the same direction then in how many minutes will teena be 52.5 miles ahead of joe?
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[Assistant] 240

[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 cloudy, he increases his speed to ( s + 1 ) miles / hr. if his average speed for the entire distance is 2.8 miles / hr, what fraction r of the total distance did he cover while the sun was shining on him?
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[Assistant] 1 / 7

[User]
fresh grapes contain 90 % by weight while dried grapes contain 20 % water by weight. what is the weight of dry grapes available from 5 kg of fresh grapes?
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[Assistant] 0.625

[User]
steve traveled the first 2 hours of his journey at 50 mph and the last 3 hours of his journey at 80 mph. what is his average speed of travel for the entire journey?
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[Assistant] 68 mph

[User]
in a certain state, the ratio of registered republicans to registered democrats is 3 to 2, and every registered voter is either a republican or a democrat. if 80 percent of the republicans and 25 percent of the democrats are expected to vote for candidate x, and everyone else is expected to vote for candidate y, by what percent is candidate x expected to win the election?
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[Assistant] 16 %


[User]
the simple interest on a certain sum of money at the rate of 5 % p. a. for 8 years is rs. 840. at what rate of interest the same amount of interest can be received on the same sum after 5 years?
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[Assistant] 8 %

[User]
what is the rate percent when the simple interest on rs. 1200 amount to rs. 400 in 4 years?
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[Assistant] 8.33 %

[User]
the average weight of a, b and c is 45 kg. if the average weight of a and b be 40 kg and that of b and c be 43 kg, then the weight of b is?
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[Assistant] 31 kg

[User]
what is the units digit of 17 ^ 83 × 13 ^ 82 × 11 ^ 83?
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[Assistant] 5

[User]
400 students took a mock exam in delhi, 60 % of the boys and 80 % of the girls cleared the cut off in the examination. if the total percentage of students qualifying is 65 %, how many girls appeared in the examination?
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[Assistant] 100


[User]
the proportion of copper and zinc in the brass is 3 : 7. how much zinc will there be in 100 kg of brass?
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[Assistant] 70

[User]
a contractor undertakes to do a job within 100 days and hires 10 people to do it. after 20 days, he realizes that one fourth of the work is done so he fires 2 people. in how many more days q will the work get over?
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[Assistant] q = 75

[User]
find the value of c from ( 8 ) ^ 3 x 9 ^ 3 ã · 679 = c.
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[Assistant] 549.7

[User]
a man has $ 10,000 to invest. he invests $ 4000 at 5 % and $ 3500 at 4 %. in order to have a yearly income of $ 500, he must invest the remainder at
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[Assistant] 6.4 %

[User]
a train speeds past a pole in 11 seconds and a platform 120 m long in 22 seconds. its length is?
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[Assistant] 120


[User]
a farmer has an apple orchard consisting of fuji and gala apple trees. due to high winds this year 10 % of his trees cross pollinated. the number of his trees that are pure fuji plus the cross - pollinated ones totals 180, while 3 / 4 of all his trees are pure fuji. how many of his trees are pure gala?
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[Assistant] 31

[User]
the banker â € ™ s gain on a sum due 3 years hence at 12 % per annum is rs. 90. the banker â € ™ s discount is
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[Assistant] rs. 340

[User]
in the quadratic equation x 2 - bx + 20 = 0, if the product of two roots is 20, what is the sum of the two roots?
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[Assistant] 12

[User]
a carpenter worked alone for 1 day on a job that would take him 7 more days to finish. he and another carpenter completed the job in 4 more days. how many days would it have taken the second carpenter to do the complete job working alone?
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[Assistant] 16

[User]
in a certain company 20 % of the men and 40 % of the women attended the annual company picnic. if 55 % of all the employees are men. what % of all the employee went to the picnic?
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[Assistant] 29 %


[User]
fox jeans regularly sell for $ 15 a pair and pony jeans regularly sell for $ 18 a pair. during a sale these regular unit prices are discounted at different rates so that a total of $ 7 is saved by purchasing 5 pairs of jeans : 3 pairs of fox jeans and 2 pairs of pony jeans. if the sum of the two discounts rates is 18 percent, what is the discount rate on pony jeans?
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[Assistant] 15 %

[User]
how many of the positive factors of 42 are not factors of 56?
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[Assistant] 3

[User]
if taxi fares were $ 10.00 for the first 1 / 5 mile and $ 1.00 for each 1 / 5 mile there after, then the taxi fare for a 10 - mile ride was
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[Assistant] $ 59.00

[User]
the market value of a 10.5 % stock, in which an income of rs. 756 is derived by investing rs. 7000, brokerage being 1 / 4 %, is :
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[Assistant] 96.97

[User]
a alone can do a piece of work in 6 days and b alone in 8 days. a and b undertook to do it for rs. 3600. with the help of c, they completed the work in 3 days. how much is to be paid to c?
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[Assistant] s. 450


[User]
at what price must an article costing rs. 57 be marked in order that after deducting 5 % from the list price. it may be sold at a profit of 25 % on the cost price?
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[Assistant] 75

[User]
if taxi fares were $ 1.00 for the first 1 / 5 mile and $ 0.20 for each 1 / 5 mile there after, then the taxi fare for a 3 - mile ride was
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[Assistant] $ 3.80

[User]
if 3 ^ x * 4 ^ y = 59,049 and x – y = 10, then x =?
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[Assistant] 10

[User]
a train traveling at 100 kmph overtakes a motorbike traveling at 64 kmph in 18 seconds. what is the length of the train in meters?
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[Assistant] 180 meters

[User]
from january 1, 2015, to january 1, 2017, the number of people enrolled in health maintenance organizations increased by 11 percent. the enrollment on january 1, 2017, was 45 million. how many million people, to the nearest million, were enrolled in health maintenance organizations on january 1, 2015?
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[Assistant] 41


[User]
a man can row his boat with the stream at 25 km / h and against the stream in 13 km / h. the man's rate is?
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[Assistant] 6 kmph

[User]
an alloy of zinc and copper contains the metals in the ratio 5 : 3. the quantity of zinc to be added to 6 kg of the alloy so that the ratio of the metal may be 3 : 1 is :
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[Assistant] 8

[User]
what is the cp of rs 100 stock at 5 discount, with 1 / 5 % brokerage?
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[Assistant] 95.2

[User]
a monkey start climbing up a tree 21 ft tall. each hour it hops 3 ft and slips back 2 ft. how much time would it take the monkey to reach the top.
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[Assistant] 19 hrs

[User]
john makes $ 50 a week from his job. he earns a raise andnow makes $ 75 a week. what is the % increase?
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[Assistant] 50 %


[User]
an art gallery has only paintings and sculptures. currently, 1 / 3 of the pieces of art are displayed, and 1 / 6 of the pieces on display are sculptures. if 1 / 3 of the pieces not on display are paintings, and 1200 sculptures are not on display, how many pieces of art does the gallery have?
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[Assistant] 2700

[User]
a, b and c invested rs. 6300, rs. 4200 and rs. 10500 respectively, in a partnership business. find the share of a in profit of rs. 12600 after a year?
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[Assistant] 3780

[User]
if taxi fares were $ 1.00 for the first 1 / 5 mile and $ 0.45 for each 1 / 5 mile there after, then the taxi fare for a 3 - mile ride was
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[Assistant] $ 7.30

[User]
a and b together can do a work in 3 days. a alone can do it in 12 days. what time b will take to do the work alone?
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[Assistant] 4 days

[User]
the distance from city a to city b is 180 miles. while driving from city a to city b, cara drives at a constant speed of 30 miles per hour. dan leaves city a 120 minutes after cara. what is the minimum constant speed in miles per hour that dan must exceed in order to arrive in city b before cara?
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[Assistant] 45


[User]
of the 600 residents of clermontville, 35 % watch the television show island survival, 40 % watch lovelost lawyers and 50 % watch medical emergency. if all residents watch at least one of these 3 shows and 18 % watch exactly 2 of these shows, then how many clermontville residents c watch all of the shows?
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[Assistant] 21

[User]
find the lowest positive integer that can be divided by all the even numbers between 14 and 21.
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[Assistant] 5040

[User]
jacob is now 12 years younger than michael. if 3 years from now michael will be twice as old as jacob, how old will jacob be in 4 years?
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[Assistant] 13

[User]
the area of a triangle will be when a = 2 m, b = 5 m, c = 7 m, a, b, c being lengths of respective sides?
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[Assistant] 7

[User]
in a certain circle there are 10 points. what is the number of the triangles connecting 2 points of the 10 points?
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[Assistant] 45


[User]
the length of the bridge, which a train 140 m long and traveling at 45 km / hr can cross in 30 sec is?
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[Assistant] 235

[User]
a 8000 liter tank, half - full of water is being filled from a pipe with a flow rate of 1 kiloliter every 2 minutes. at the same time, the tank is losing water from two drains at a rate of 1 kiloliter every 4 minutes and every 6 minutes. how many minutes does it take to fill the tank completely?
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[Assistant] 48

[User]
julie put half of her savings in a savings account that pays an annual simple interest and half in a savings account that pays an annual compound interest. after two years she earned $ 120 and $ 124 from the simple interest account and the compound interest account respectively. if the interest rates for both accounts were the same, what was the amount of julie's initial savings?
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[Assistant] 1800

[User]
abcd is a square where ab = â ˆ š 6000. let x be a point on ab and y be a point on cd such that ax = cy. compute the area of trapezoid axyd.
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[Assistant] 3000

[User]
mr. karan borrowed a certain amount at 6 % per annum simple interest for 9 years. after 9 years, he returned rs. 8410 / -. find out the amount that he borrowed.
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[Assistant] s. 5461


[User]
the perimeter of a semi circle is 108 cm then the radius is?
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[Assistant] 21

[User]
the sum of first n consecutive odd integers is n ^ 2. what is the sum of all odd integers between 13 and 35 inclusive.
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[Assistant] 288

[User]
the function f ( n ) is defined as the product of all the consecutive positive integers between 4 and n ^ 2, inclusive, whereas the function g ( n ) is defined as the product of the squares of all the consecutive positive integers between 1 and n, inclusive. the exponent on 2 in the prime factorization of f ( 3 ) / g ( 3 ) is
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[Assistant] 4

[User]
for how many integer values of n will the value of the expression 4 n + 7 be an integer greater than 1 and less than 200?
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[Assistant] 50

[User]
in the first 10 overs of a cricket game, the run rate was only 2.1. what should be the rate in the remaining 30 overs to reach the target of 282 runs?
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[Assistant] 8.7


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

[User]
a small pool filled only with water will require an additional 300 gallons of water in order to be filled to 70 % of its capacity. if pumping in these additional 300 gallons of water will increase the amount of water in the pool by 30 %, what is the total capacity of the pool in gallons?
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[Assistant] 1857.14

[User]
a car takes 6 hours to cover a distance of 720 km. how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time?
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[Assistant] 80

[User]
by selling 15 pencils for a rupee a man loses 15 %. how many for a rupee should he sell in order to gain 15 %?
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[Assistant] 11

[User]
the consumption of diesel per hour of a bus varies directly as square of its speed. when the bus is travelling at 50 kmph its consumption is 1 litre per hour. if each litre costs $ 50 and other expenses per hous is $ 50, then what would be the minimum expenditure required to cover a distance of 500 km?
Answer the question using a single word or phrase.

[Assistant] 1000


[User]
a man can row at 5 kmph in still water. if the velocity of current is 2 kmph and it takes him 1 hour to row to a place and come back, how far is the place?
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[Assistant] 2.1 km

[User]
a number is said to be prime saturated if the product of all the different positive prime factors of r is less than the square root of r. what is the greatest two digit prime saturated integer?
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[Assistant] 96

[User]
a small table has a length of 12 inches and a breadth of b inches. cubes are placed on the surface of the table so as to cover the entire surface. the maximum side of such cubes is found to be 4 inches. also, a few such tables are arranged to form a square. the minimum length of side possible for such a square is 24 inches. find b.
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[Assistant] 8

[User]
if money is invested at r percent interest, compounded annually, the amount of investment will double in approximately 70 / r years. if pat's parents invested $ 7000 in a long term bond that pays 8 percent interest, compounded annually, what will be the approximate total amount of investment 18 years later, when pat is ready for college?
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[Assistant] $ 28000

[User]
a, b and c completed a piece of work, a worked for 6 days, b for 9 days and c for 4 days. their daily wages were in the ratio of 3 : 4 : 5. find the daily wages of c, if their total earning was rs. 1480?
Answer the question using a single word or phrase.

[Assistant] 100


[User]
if 5400 mn = k ^ 4, where m, n, and k are positive integers, what is the least possible value of m + 2 n?
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[Assistant] 40

[User]
if the area of a square with sides of length 4 centimeters is equal to the area of a rectangle with a width of 4 centimeters, what is the length of the rectangle, in centimeters?
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[Assistant] 4

[User]
what is the average ( arithmetic mean ) of the numbers 21, 22, 23, 23, 24, and 25?
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[Assistant] 23

[User]
the average age of 28 students in a group is 16 years. when teacher â € ™ s age is included to it, the average increases by one. what is the teacher â € ™ s age in years?
Answer the question using a single word or phrase.

[Assistant] 45

[User]
a and b are two stations 390 km apart. a train starts from a at 10 a. m. and travels towards b at 65 kmph. another train starts from b at 11 a. m. and travels towards a at 35 kmph. at what time do they meet?
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[Assistant] 2.15 pm


[User]
in a group of cows and chickens, the number of legs was 16 more than twice the number of heads. the number of cows was :
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[Assistant] 8

[User]
a is a working partner and b is a sleeping partner in the business. a puts in rs. 5000 and b rs. 1000, a receives 10 % of the profit for managing the business the rest being divided in proportion of their capitals. out of a total profit of rs. 9600, money received by a is?
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[Assistant] 8160

[User]
how much 90 % of 40 is greater than 80 % of 30?
Answer the question using a single word or phrase.

[Assistant] 12

[User]
an auction house charges a commission of 20 % on the first $ 50,000 of the sale price of an item, plus 10 % on the amount of of the sale price in excess of $ 50,000. what was the price of a painting for which the house charged a total commission of $ 24,000?
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[Assistant] $ 190,000

[User]
in a mixture of 45 litres the ratio of milk to water is 4 : 1. additional 3 litres of water is added to the mixture. find the ratio of milk to water in the resulting mixture.
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[Assistant] 3 / 1


[User]
how many of the positive factors of 14 are not factors of 21?
Answer the question using a single word or phrase.

[Assistant] 1

[User]
how much water must be added to 60 litres of milk at 1.5 litres for rs. 20 so as to have a mixture worth rs. 32 / 3 a litre?
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[Assistant] 15 litres

[User]
a cricket bat is sold for $ 850, making a profit of $ 255. the profit percentage would be
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[Assistant] 43 %

[User]
a car covers a distance of 624 km in 2 3 / 5 hours. find its speed?
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[Assistant] 240 kmph

[User]
three walls have wallpaper covering a combined area of 300 square meters. by overlapping the wallpaper to cover a wall with an area of 180 square meters, the area that is covered by exactly two layers of wallpaper is 30 square meters. what is the area that is covered with three layers of wallpaper?
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[Assistant] 45 square meters


[User]
the average of first three prime numbers greater than 20 is?
Answer the question using a single word or phrase.

[Assistant] 27.7

[User]
if greg buys 3 shirts, 4 trousers and 2 ties, the total cost is $ 40. if greg buys 7 shirts, 2 trousers and 2 ties, the total cost is $ 60. how much will it cost him to buy 3 trousers, 5 shirts and 2 ties?
Answer the question using a single word or phrase.

[Assistant] $ 50

[User]
the heights of 3 individuals are in the ratio 4 : 5 : 6. if the sum of the heights of the heaviest and the lightest boy is 150 cm more than the height of the third boy, what is the weight of the lightest boy?
Answer the question using a single word or phrase.

[Assistant] 120 cm

[User]
according to the formula f = 9 / 5 ( c ) + 32, if the temperature in degrees farenheit ( f ) increases by 29, by how much does the temperature in degrees celsius ( c ) increase?
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[Assistant] 15

[User]
a man engaged a servant on the condition that he would pay him rs. 900 and auniform after 1 year service. he served only for 9 months and received uniform and rs. 650, find the price of the uniform?
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[Assistant] rs. 100


[User]
the sale price of a trolley bag including the sale tax is rs. 1190. the rate of sale tax is 12 %. if the shopkeeper has made a profit of 25 %, the cost price of the trolley bag is :
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[Assistant] rs 850

[User]
the sum of the present ages of two persons a and b is 60. if the age of a is twice that of b, find the sum of their ages 6 years hence?
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[Assistant] 72

[User]
the cross - section of a cannel is a trapezium in shape. if the cannel is 5 m wide at the top and 3 m wide at the bottom and the area of cross - section is 3800 sq m, the depth of cannel is?
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[Assistant] 950

[User]
maxwell leaves his home and walks toward brad's house. one hour later, brad leaves his home and runs toward maxwell's house. if the distance between their homes is 74 kilometers, maxwell's walking speed is 4 km / h, and brad's running speed is 6 km / h. what is the total time it takes maxwell before he meets up with brad?
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[Assistant] 8

[User]
from the beginning to the end of 2007, the price of a stock rose 20 percent. in 2008, it dropped 25 percent. in 2009, it rose 40 percent. what percent of the stock â € ™ s 2007 starting price was the price of the stock at the end of 2009?
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[Assistant] 126


[User]
the average weight of a, b and c is 42 kg. if the average weight of a and b be 40 kg and that of b and c be 43 kg, then the weight of b is :
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[Assistant] 40 kg

[User]
dividing by 3 ⁄ 8 and then multiplying by 5 ⁄ 9 is the same as dividing by what number?
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[Assistant] 40 / 27

[User]
how many integers n greater than and less than 100 are there such that, if the digits of n are reversed, the resulting integer is n + 9?
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[Assistant] 8

[User]
a runs twice as fast as b and gives b a start of 50 m. how long should the racecourse be so that a and b might reach in the same time?
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[Assistant] 100 m.

[User]
what profit percent is made by selling an article at a certain price, if by selling at 2 / 3 rd of that price, there would be a loss of 12 %?
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[Assistant] 32 %


[User]
reeya obtained 65, 67, 76, 80 and 95 out of 100 in different subjects, what will be the average
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[Assistant] 76.6

[User]
an ant walks an average of 600 meters in 12 minutes. a beetle walks 15 % less distance at the same time on the average. assuming the beetle walks at her regular rate, what is its speed in km / h?
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[Assistant] 2.55

[User]
an aeroplane covers a certain distance of 450 kmph in 4 hours. to cover the same distance in 3 2 / 3 hours, it must travel at a speed of
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[Assistant] 490

[User]
when the number 72 y 6139 is exactly divisible by 11, then the smallest whole number that can replace y is?
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[Assistant] 6

[User]
a 12 month project had a total budget of $ 42000. after 8 months, the project had spent $ 23700. at this point, how much was the project under budget?
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[Assistant] $ 4300


[User]
if you throw two dice at a same time. can you find the probability of getting sum as 10 of the two numbers shown?
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[Assistant] 1 / 12

[User]
in an office, 30 percent of the workers have at least 5 years of service, and a total of 16 workers have at least 10 years of service. if 90 percent of the workers have fewer than 10 years of service, how many of the workers have at least 5 but fewer than 10 years of service?
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[Assistant] 48

[User]
a certain car can travel 40 minutes on a gallon of gasoline at 60 miles per hour. if the car had started with a full tank and had 8 gallons of gasoline left in its tank at the end, then what percent of the tank was used to travel 120 miles at 60 mph?
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[Assistant] 27 %

[User]
if the sides of a triangle are 39 cm, 36 cm and 15 cm, what is its area?
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[Assistant] 270 cm 2

[User]
what is the dividend. divisor 19, the quotient is 7 and the remainder is 6
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[Assistant] 139


[User]
obra drove 120 π meters along a circular track. if the area enclosed by the circular track on which she drove is 57,600 π square meters, what percentage of the circular track did obra drive?
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[Assistant] 25 %

[User]
some persons can do a piece of work in 20 days. two times the number of these people will do half of that work in?
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[Assistant] 5

[User]
the two lines y = x and x = - 4 intersect on the coordinate plane. if z represents the area of the figure formed by the intersecting lines and the x - axis, what is the side length w of a cube whose surface area is equal to 6 z?
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[Assistant] w = 2 √ 2

[User]
if 50 % of ( x - y ) = 20 % of ( x + y ), then what percent of x is y?
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[Assistant] 42.8 %

[User]
seed mixture x is 40 % ryegrass and 60 % bluegrass by weight ; seed mixture y is 25 % ryegrass and 75 % fescue. if a mixture of x and y contains 34 % ryegrass, what percent of the weight of the mixture is from mixture x?
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[Assistant] 60 %


[User]
find the mean proportional between 49 & 81?
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[Assistant] 63

[User]
the average monthly income of p and q is rs. 6050. the average monthly income of q and r is rs. 7050 and the average monthly income of p and r is rs. 8000. the monthly income of p + q + r is :
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[Assistant] 21100

[User]
how many 4 digit numbers are there, if it is known that the first digit is even, the second is odd, the third is prime, the fourth ( units digit ) is divisible by 3, and the digit 2 can be used only once?
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[Assistant] 300

[User]
in one hour, a boat goes 9 km along the stream and 5 km against the stream. the speed of the boat in still water ( in km / hr ) is :
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[Assistant] 7

[User]
a 70 cm long wire is to be cut into two pieces so that one piece will be 2 / 3 th of the other, how many centimeters will the shorter piece be?
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[Assistant] 28


[User]
165 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] 66 liters

[User]
raman mixed 54 kg of butter at rs. 150 per kg with 36 kg butter at the rate of rs. 125 per kg. at what price per kg should he sell the mixture to make a profit of 40 % in the transaction?
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[Assistant] 196

[User]
average of money that group of 4 friends pay for rent each month is $ 800. after one persons rent is increased by 25 % the new mean is $ 850. what was original rent of friend whose rent is increased?
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[Assistant] 800

[User]
a person borrows rs. 5000 for 2 years at 4 % p. a. simple interest. he immediately lends it to another person at 5 % p. a for 2 years. find his gain in the transaction per year.
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[Assistant] 50

[User]
a chemist mixes one liter of pure water with x liters of a 30 % salt solution, and the resulting mixture is a 15 % salt solution. what is the value of x?
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[Assistant] 1


[User]
the largest four digit number which is a perfect cube, is :
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[Assistant] 9261

[User]
the angle between two hands at 3.45 is
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[Assistant] 157 1 / 2 degree

[User]
pipe a and pipe b fill water into a tank of capacity 2000 litres, at a rate of 200 l / min and 50 l / min. pipe c drains at a rate of 25 l / min. pipe a is open for 1 min and closed, then pipe b is open for 2 min and closed. further the pipe c is opened and drained for another 2 min. this process is repeated until the tank is filled. how long will it take to fill the tank?
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[Assistant] 40 min

[User]
a wooden cube whose edge length is 9 inches is composed of smaller cubes with edge lengths of one inch. the outside surface of the large cube is painted red and then it is split up into its smaller cubes. if one cube is randomly selected from the small cubes, what is the probability that the cube will have at least one red face?
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[Assistant] 52.9 %

[User]
the sector of a circle has radius of 21 cm and central angle 110 o. find its perimeter?
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[Assistant] 82.3