[User]
a 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 26 sec. what is the length of the platform?
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[Assistant] 150 m

[User]
9 persons went to a hotel for taking their meals. 8 of them spent rs 12 each on their meals and the ninth spent rs. 8 more than the average expenditure of all the 9. what was the total money spent by them?
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[Assistant] 117

[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 7 hours of the journey.
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[Assistant] 252 km

[User]
the average ( arithmetic mean ) of 4 positive integers is 40. if the average of 2 of these integers is 45, what is the greatest possible value that one of the other 2 integers can have?
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[Assistant] 69

[User]
what is the least number of square tiles required to pave the floor of a room 12 m 12 cm long and 1 m 20 cm broad?
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[Assistant] 1010


[User]
if 2 x = 3 √ 32, then x is equal to :
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[Assistant] 5 / 3

[User]
a train running at the speed of 48 km / hr crosses a pole in 9 seconds. find the length of the train?
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[Assistant] 120 meter

[User]
a cricket player whose bowling average was 20.5 runs per wicket, takes 5 wicket for 52 runs in a match. due to this his average decreases by 0.5. what will be the number of wickets taken by him till the last match?
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[Assistant] 101

[User]
if a trader sold two cars each at rs. 325475 and gains 11 % on the first and loses 11 % on the second, then his profit or loss percent on the whole is?
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[Assistant] 1.21 %

[User]
3 buffaloes eat as much as 4 cows or 2 oxen. at a farm, there are 15 buffaloes, 8 oxen, and 24 cows. the fodder for these cattle is available for 36 days. if 40 more cows and 15 more buffaloes are brought in, how many days will the fodder last?
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[Assistant] 18 days


[User]
for any non - zero a and b that satisfy | ab | = ab and | a | = a | b - 4 | + | ab - b | =?
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[Assistant] ab - 4

[User]
p software has coding line 5 % more than n, n software has coding line 1 / 3 more than m. m software has 90 lines of coding. find p lines.
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[Assistant] 126

[User]
the length of a rectangle is 4 times its width. if the width of the rectangle is 5 inches, what is the rectangle's area, in square inches?
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[Assistant] 100 square inches

[User]
a and b go around a circular track of length 1800 m on a cycle at speeds of 36 kmph and 54 kmph. after how much time will they meet for the first time at the starting point?
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[Assistant] 360 sec

[User]
if f ( x ) = 3 x ^ 4 - 4 x ^ 3 - 3 x ^ 2 + 6 x, then f ( - 1 ) =
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[Assistant] - 2


[User]
the greatest common divisor of ( b - 2 )!, ( b + 1 )!, and ( b + 4 )! is 5040. what is the value of b?
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[Assistant] 9

[User]
the length of a side of a hexagon is 10 inches. what is the perimeter?
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[Assistant] 60

[User]
in february wilson ’ s earnings were 40 percent of his family ’ s total income. in march wilson earned 25 percent less than in february. if the rest of his family ’ s income was the same in both months, then, in march, wilson ’ s earnings were approximately what percent s of his family ’ s total income?
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[Assistant] 33 %

[User]
if a : b = 1 : 4, b : c = 13 : 9, c : d = 5 : 13, find a : d?
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[Assistant] 5 / 36

[User]
population of a city in 20004 was 1000000. if in 2005 there isan increment of 15 %, in 2006 there is a decrements of 35 % and in 2007 there is an increment of 30 %, then find the population of city atthe end of the year 2007
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[Assistant] 971750


[User]
what is the greatest value of positive integer x such that 2 ^ x is a factor of 100 ^ 90?
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[Assistant] 180

[User]
alex takes a loan of $ 9,000 to buy a used truck at the rate of 9 % simple interest. calculate the annual interest to be paid for the loan amount.
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[Assistant] 810

[User]
last month, john rejected 0.7 % of the products that he inspected and jane rejected 0.8 percent of the products that she inspected. if total of 0.75 percent of the products produced last month were rejected, what fraction of the products did jane inspect?
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[Assistant] 1 / 2

[User]
if the average ( arithmetic mean ) of x and y is 60, and z – x = 80, what is the average of y and z?
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[Assistant] 100

[User]
what is the smallest integer z for which 27 ^ z > 3 ^ 24?
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[Assistant] 9


[User]
a is twice as good a work man as b and together they finish the work in 8 days. in how many days a alone can finish the work?
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[Assistant] 12

[User]
the sum of two numbers is 21 and the sum of their squares is 527. find the product of the numbers.
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[Assistant] 43

[User]
thabo owns exactly 280 books, and each book is either paperback fiction, paperback nonfiction, or hardcover nonfiction. if he owns 20 more paperback nonfiction books than hardcover nonfiction books, and twice as many paperback fiction books as paperback nonfiction books, how many hardcover books nonfiction books does thabo own?
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[Assistant] 55

[User]
in the number 100 ab, a and b represent the tens and units digits, respectively. if 110 ab is divisible by 55, what is the greatest possible value of b × a?
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[Assistant] 15

[User]
a train 350 m long, running with a speed of 63 km / hr will pass a tree in?
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[Assistant] 20 sec


[User]
a car travelling with 5 / 7 km of its actual speed covers 42 km in 1 hr 40 min 48 sec find the actual speed of the car?
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[Assistant] 35 kmph

[User]
compare the rates of two trains, one travelling at 90 km / hr and other is at 50 m / s?
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[Assistant] 1 : 2

[User]
a computer manufacturer produces a certain electronic component at a cost of $ 100 per component. shipping costs for delivering the components are $ 2 per unit. further, the manufacturer has costs of $ 10,000 a month related to the electronic component regardless of how many it produces. if the manufacturer produces and sells 1000 components a month, what is the lowest price it can sell them for such that the costs do n't exceed the revenues?
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[Assistant] 112

[User]
sari and ken climb up a mountain. at night, they camp together. on the day they are supposed to reach the summit, sari wakes up at 08 : 00 and starts climbing at a constant pace. ken starts climbing only at 10 : 00, when sari is already 700 meters ahead of him. nevertheless, ken climbs at a constant pace of 500 meters per hour, and reaches the summit before sari. if sari is 50 meters behind ken when he reaches the summit, at what time did ken reach the summit?
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[Assistant] 15 : 00

[User]
the average weight of a, b and c is 30 kg. if the average weight of a and b be 25 kg and that of b and c be 28 kg, then the weight of b is :
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[Assistant] 16 kg


[User]
the cost of a one - family home was $ 120000 in 1980. in 1988, the price had increased to $ 192000. what was the percent increase in the cost of the home?
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[Assistant] 60 %

[User]
a card board of 34 * 14 has to be attached to a wooden box and a total of 35 pins are to be used on the each side of the cardbox. find the total number of pins used.
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[Assistant] 136

[User]
a 200 meter long train crosses a platform in 50 seconds while it crosses a signal pole in 42 seconds. what is the length of the platform?
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[Assistant] 38.09

[User]
how much water should be added to 11 liters of a 20 % - solution of alcohol to reduce the concentration of alcohol in the solution by 75 %?
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[Assistant] 29 liters

[User]
a van takes 5 hours to cover a distance of 600 km. what speed in kph should the van maintain to cover the same distance in 3 / 2 of the previous time?
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[Assistant] 80


[User]
the ratio of ages of aman, bren, and charlie are in the ratio 5 : 8 : 7 respectively. if 8 years ago, the sum of their ages was 76, what will be the age of bren 12 years from now?
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[Assistant] 60

[User]
a and b undertake to do a piece of work for $ 500. a alone can do it in 5 days while b alone can do it in 10 days. with the help of c, they finish it in 2 days. find the share of c?
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[Assistant] $ 200

[User]
a clock store sold a certain clock to a collector for 15 percent more than the store had originally paid for the clock. when the collector tried to resell the clock to the store, the store bought it back at 45 percent of what the collector had paid. the shop then sold the clock again at a profit of 85 percent on its buy - back price. if the difference between the clock's original cost to the shop and the clock's buy - back price was $ 80, for how much did the shop sell the clock the second time?
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[Assistant] $ 158.74

[User]
angelina walked 100 meters from her home to the grocery at a constant speed. she then walked 180 meters to the gym at double the speed. she spent 40 seconds less on her way from the grocery to the gym than on her way from home to the grocery. what was angelina's speed, in meters per second, from the grocery to the gym?
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[Assistant] 0.5

[User]
if 45 % of z is 39 % of y and y is 75 % of x, what percent of x is z?
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[Assistant] 65


[User]
10 camels cost as much as 24 horses, 16 horses cost as much as 4 oxen and 6 oxen as much as 4 elephants. if the cost of 10 elephants is rs. 130000, find the cost of a camel?
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[Assistant] s. 5200

[User]
a worker makes a toy in every 3 h. if he works for 150 h, then how many toys will he make?
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[Assistant] 50

[User]
in one hour, a boat goes 11 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] 8

[User]
45 workers work 8 hours to dig a hole 30 meters deep. how many extra workers should be hired to dig another hole 40 meters deep by working for 6 hours?
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[Assistant] 35

[User]
if an amount of rs 42,900 is distributed equally amongst 22 persons, how much amount would each person get?
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[Assistant] rs 1950


[User]
one hour after yolanda started walking from x to y, a distance of 17 miles, bob started walking along the same road from y to x. if yolanda's walking rate was 3 miles per hour and bob т's was 4 miles per hour, how many miles had bob walked when they met?
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[Assistant] 8

[User]
a dozen eggs and 10 pounds of oranges are currently at the same price. if the price of a dozen eggs rises by 9 percent and the price of oranges rises by 6 %. how much more will it cost to buy a dozen eggs and 10 pounds of oranges.
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[Assistant] 15 %

[User]
at what price must an article costing rs. 47.50 be marked in order that after deducting 5 % from the list price. it may be sold at a profit of 40 % on the cost price?
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[Assistant] 70

[User]
two friends decide to get together ; so they start riding bikes towards each other. they plan to meet halfway. each is riding at 6 mph. they live 36 miles apart. one of them has a pet carrier pigeon and it starts flying the instant the friends start traveling. the pigeon flies back and forth at 19 mph between the 2 friends until the friends meet. how many miles does the pigeon travel?
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[Assistant] 57

[User]
in a river flowing at 2 km / hr, a boat travels 48 km upstream and then returns downstream to the starting point. if its speed in still water be 6 km / hr, find the total journey time.
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[Assistant] 18 hours


[User]
in smithtown, the ratio of right - handed people to left - handed people is 3 to 1 and the ratio of men to women is 3 to 2. if the number of right - handed men is maximized, then what x percent of all the people in smithtown are left - handed women?
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[Assistant] 25 %

[User]
the number of degrees that the hour hand of a clock moves through between noon and 2.30 in the afternoon of the same day is?
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[Assistant] 75

[User]
a rectangular tiled patio is composed of 30 square tiles. the rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles. after the change in layout, the patio will still have 30 tiles, and it will still be rectangular. how many rows are in the tile patio before the change in layout?
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[Assistant] 5

[User]
a row of ants comprised of 102 ants. a man walked upon it and all except 42 were crushed beneath his foot. how many ants are left alive?
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[Assistant] 42

[User]
at a certain food stand, the price of each apple is 40 ¢ and the price of each orange is 60 ¢. mary selects a total of 10 apples and oranges from the food stand, and the average ( arithmetic mean ) price of the 10 pieces of fruit is 54 ¢. how many oranges must mary put back so that the average price of the pieces of fruit that she keeps is 45 ¢?
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[Assistant] 6


[User]
if 4 people are selected from a group of 6 married couples, what is the probability that none of them would be married to each other?
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[Assistant] 16 / 33

[User]
each light bulb at a hotel is either incandescent or fluorescent. at a certain moment, forty percent of the incandescent bulbs are switched on, and eighty percent of the fluorescent bulbs are switched on. if 75 percent of all the bulbs are switched on at this moment, what percent of the bulbs that are switched on are incandescent?
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[Assistant] 6.7 %

[User]
a and b can do a piece of work in 2 days and 6 days respectively. both work for 1 days and then a goes away. find how long will b take to complete the remaining work?
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[Assistant] 2 days

[User]
karen places a bet with tom that she will beat tom in a car race by 4 miles even if karen starts 4 minutes late. assuming that karen drives at an average speed of 60 mph and tom drives at an average speed of 45 mph, how many h miles will tom drive before karen wins the bet?
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[Assistant] 24

[User]
rs. 1210 were divided among 3 person p, q, r so that p : q = 5 : 4 and q : r = 9 : 10. then r gets the amount.
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[Assistant] rs. 400


[User]
in what ratio should a variety of rice costing rs. 7 per kg be mixed with another variety of rice costing rs. 14.50 per kg to obtain a mixture costing rs. 9.75 per kg?
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[Assistant] 19 : 11

[User]
if 10 is added to thrice a number and this sum is multiplied by 5, the result is the same as if the number is multiplied by 5 and 13 is added to the product. what is the number?
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[Assistant] - 3.7

[User]
if a 2 + b 2 + c 2 = 390 and ab + bc + ca = 5, then a + b + c is
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[Assistant] 20

[User]
in an office in singapore there are 60 % female employees. 50 % of all the male employees are computer literate. if there are total 62 % employees computer literate out of total 1500 employees, then the no. of female employees who are computer literate?
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[Assistant] 630

[User]
what will be the remainder when ( 27 ^ 27 ) + 27 is divided by 28?
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[Assistant] 26


[User]
a man has some hens and cows. if the number of heads be 48 and the number of feet equals 140, then the number of hens will be
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[Assistant] 26

[User]
the cash realised on selling a 14 % stock is rs. 120.50, brokerage being 1 / 4 % is
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[Assistant] 120.25

[User]
a and b are two partially filled buckets of water. if 7 liters are transferred from a to b, then a would contain one - third of the amount of water in b. alternatively, if 7 liters are transferred from b to a, b would contain one - half of the amount of water in a. bucket a contains how many liters of water?
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[Assistant] 77 / 5

[User]
how many liters of water must be evaporated from 50 liters of a 2 percent sugar solution to get a 5 percent sugar solution?
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[Assistant] 30

[User]
an equilateral triangle t 2 is formed by joining the mid points of the sides of another equilateral triangle t 1. a third equilateral triangle t 3 is formed by joining the mid - points of t 2 and this process is continued indefinitely. if each side of t 1 is 50 cm, find the sum of the perimeters of all the triangles.
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[Assistant] 300 cm


[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 40 square meters. what is the area that is covered with three layers of wallpaper?
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[Assistant] 40 square meters

[User]
a trained covered x km at 40 kmph and another 2 x km at 20 kmph. find the average speed of the train in covering the entire 4 x km.
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[Assistant] 32

[User]
if n = 2.0254 and n * is the decimal obtained by rounding n to the nearest hundredth, what is the value of n * – n?
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[Assistant] 0.0046

[User]
find the sum lend at c. i. at 5 p. c per annum will amount to rs. 240 in 2 years?
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[Assistant] 217

[User]
a bag contains 7 green balls and 7 white balls. if two balls are drawn simultaneously, what is the probability that both balls are the same colour?
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[Assistant] 6 / 13


[User]
a vendor sells 60 percent of apples he had and throws away 15 percent of the remainder. next day he sells 50 percent of the remainder and throws away the rest. what percent of his apples does the vendor throw?
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[Assistant] 23

[User]
the radius of a cylinder is 8 m, height 14 m. the volume of the cylinder is :
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[Assistant] 2816

[User]
average of money that group of 4 friends pay for rent each month is $ 800. after one persons rent is increased by 20 % the new mean is $ 880. what was original rent of friend whose rent is increased?
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[Assistant] 1600

[User]
when a student joe, weighing 43 kg, joins a group of students whose average weight is 30 kg, the average weight goes up by 1 kg. subsequently, if two students, excluding joe, leave the group the average weight comes back to 30 kg. what is the difference between the average weight of the two students who left and the weight of joe?
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[Assistant] 6.5 kg

[User]
while working alone at their respective constant rates, server p uploads 480 files in 4 hours and server y uploads 480 files in 8 hours. if all files uploaded by these servers are the same size, how long would it take the two servers, working at the same time and at their respective constant rates, to process a total of 480 files?
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[Assistant] 2 hr 40 min


[User]
0.0203 x 2.92 / 0.0073 x 14.5 x 0.7 =?
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[Assistant] 0.8

[User]
the speed of a train is 90 kmph. what is the distance covered by it in 30 minutes?
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[Assistant] 45

[User]
what is the smallest positive integer x such that 280 - x is the cube of a positive integer
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[Assistant] 64

[User]
in a kilometer race, a beats b by 60 meters or 15 seconds. what time does a take to complete the race?
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[Assistant] 235

[User]
in a certain diving competition, 5 judges score each dive on a scale from 1 to 10. the point value of the dive is obtained by dropping the highest score and the lowest score and multiplying the sum of the remaining scores by the degree of difficulty. if a dive with a degree of difficulty of 3.2 received scores of 7.5, 8.3, 9.0, 6.0, and 8.6, what was the point value of the dive?
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[Assistant] 78.08


[User]
train starts from amritsar to bombay at 9 am. it reaches destination after 3 days at 9 : 30 am. every day a train starts. how many trains does it come across on the way?
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[Assistant] 4 th

[User]
if a ( a - 9 ) = 10 and b ( b - 9 ) = 10, where a ≠ b, then a + b =
Answer the question using a single word or phrase.

[Assistant] 9

[User]
there are 12 teams in a certain league and each team plays each of the other teams exactly twice. if each game is played by 2 teams, what is the total number of games played?
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[Assistant] 132

[User]
at what rate percent per annum will the simple interest on a sum of money be 1 / 5 of the amount in 10 years?
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[Assistant] 2 %

[User]
a man can do a job in 15 days. his father takes 10 days and his son finishes it in 25 days. how long will they take to complete the job if they all work together?
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[Assistant] 7.1


[User]
a corporation that had $ 115.19 billion in profits for the year paid out $ 250.10 million in employee benefits. approximately what percent of the profits were the employee benefits? ( note : 1 billion = 10 ^ 9 )
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[Assistant] 0.22 %

[User]
a reduction of 10 % in the price of salt enables a lady to obtain 10 kgs more for rs. 100, find the original price per kg?
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[Assistant] 1.1

[User]
the triplicate ratio of 2 : 3 is?
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[Assistant] 8 : 27

[User]
if 15 lions can kill 15 deers in 15 minutes how long will it take 100 lions to kill 100 deers?
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[Assistant] 15 minute

[User]
what is the least number that should be added to 1076, so the sum of the number is divisible by 23?
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[Assistant] 5


[User]
the sum of two numbers is 40 and their product is 375. what will be the sum of their reciprocals?
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[Assistant] 8 / 75

[User]
in a throw of a coin find the probability of getting a tail?
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[Assistant] 1 / 2

[User]
on her annual road trip to visit her family in seal beach, california, traci stopped to rest after she traveled 1 ⁄ 3 of the total distance and again after she traveled 1 ⁄ 2 of the distance remaining between her first stop and her destination. she then drove the remaining 100 miles and arrived safely at her destination. what was the total distance, in miles, from traci ’ s starting point to seal beach?
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[Assistant] 300

[User]
pavan travelled for 15 hours. he covered the first half of the distance at 30 kmph and remaining half of the distance at 25 kmph. find the distance travelled by pavan.
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[Assistant] 409 km

[User]
how many quarters are equal to 5 dollars?
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[Assistant] 20


[User]
when positive integer n is divided by positive integer j, the remainder is 12. if n / j = 204.06, what is value of j?
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[Assistant] 200

[User]
if taxi fares were $ 1.00 for the first 1 / 5 mile and $ 0.25 for each 1 / 5 mile there after, then the taxi fare for a 3 - mile ride was
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[Assistant] $ 4.50

[User]
during a particular baseball game, the probability of a team's pitcher throwing a strike on each throw is 2 / 5. what is the least number of times that the pitcher should pitch the ball that will increase the probability of getting a strike at least once to more than 50 %.
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[Assistant] 2

[User]
y = x ^ 2 + bx + 64 cuts the x axis at ( h, 0 ) and ( k, 0 ). if h and k are integers, what is the least value of b?
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[Assistant] - 64

[User]
a merchant marks his goods up by 20 % and then offers a discount of 5 % on the marked price. what % profit does the merchant make after the discount?
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[Assistant] 14 %


[User]
a fruit seller sells mangoes at the rate of rs. 16 per kg and thereby loses 12 %. at what price per kg, he should have sold them to make a profit of 20 %?
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[Assistant] rs. 21.81

[User]
a batsman scored 120 runs which included 5 boundaries and 5 sixes. what percent of his total score did he make by running between the wickets?
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[Assistant] 58.33 %

[User]
right now, the ratio between the ages of sandy and molly is 4 : 3. after 6 years, sandy ’ s age will be 30 years. what is molly's age right now?
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[Assistant] 18

[User]
a goods train runs at a speed of 72 kmph and crosses a 290 m long platform in 26 seconds. what is the length of the goods train?
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[Assistant] 230 m

[User]
two years ago, ram put $ 1000 into a savings account. at the end of the first year, his account had accrued $ 100 in interest bringing his total balance to $ 1100. the next year, his account balance increased by 20 %. at the end of the two years, by what percent has sam's account balance increased from his initial deposit of $ 1000?
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[Assistant] 32 %


[User]
in a certain egg - processing plant, every egg must be inspected, and is either accepted for processing or rejected. for every 96 eggs accepted for processing, 4 eggs are rejected. if, on a particular day, 12 additional eggs were accepted, but the overall number of eggs inspected remained the same, the ratio of those accepted to those rejected would be 99 to 1. how many r eggs does the plant process per day?
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[Assistant] 400

[User]
an empty fuel tank with a capacity of 200 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] 50

[User]
what quantity of water should taken out to concentrate 24 liters of 40 % acidic liquid to 60 % acidic liquid?
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[Assistant] 8 liters

[User]
if 2 x + y = 7 and x + 2 y = 5, then 2 xy / 3 =?
Answer the question using a single word or phrase.

[Assistant] 2

[User]
in a colony of 50 residents, the ratio of the number of men and women is 3 : 2. among the women, the ratio of the educated to the uneducated is 1 : 3. if the ratio of the number of education to uneducated persons is 4 : 6, then find the ratio of the number of educated and uneducated men in the colony?
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[Assistant] 1 : 1


[User]
a doctor prescribed 18 cubic centimeters of a certain drug to a patient whose body weight was 135 pounds. if the typical dosage is 2 cubic centimeters per 15 pounds of the body weight, by what percent was the prescribed dosage greater than the typical dosage?
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[Assistant] 11 %

[User]
a train running at the speed of 72 km / hr crosses a pole in 8 seconds. find the length of the train.
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[Assistant] 160 meter

[User]
1,000 ^ 2 + 1,001 ^ 2 =
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[Assistant] 6, 002,001

[User]
a container contains 40 litres of milk. from this container 4 litres of milk was taken out and replaced by water. this process was repeated further two times. how much milk is now contained by the container?
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[Assistant] 29.16 litres

[User]
last year a certain bond price with a face value of 5000 yielded 5 % of its face value in interest. if that interest was approx 6.5 of the bond's selling price approx what was the bond's selling price?
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[Assistant] 3846


[User]
the length of a train and that of a platform are equal. if with a speed of 90 k / hr, the train crosses the platform in one minute, then the length of the train ( in metres ) is :
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[Assistant] 750

[User]
of 30 applicants for a job, 11 had at least 4 years'experience, 18 had degrees, and 3 had less than 4 years'experience and did not have a degree. how many of the applicants had at least 4 years'experience and a degree?
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[Assistant] 8

[User]
what is the sum of all remainders obtained when the first 200 natural numbers are divided by 9?
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[Assistant] 401

[User]
linda spent 2 / 4 of her savings on furniture and the rest on a tv. if the tv cost her $ 300, what were her original savings?
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[Assistant] $ 600

[User]
what is the speed of the stream if a canoe rows upstream at 3 km / hr and downstream at 12 km / hr
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[Assistant] 4.5 kmph


[User]
the ratio of the number of females to males at a party was 1 : 2 but when 3 females and 3 males left, the ratio became 1 : 3. how many people were at the party originally?
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[Assistant] 18

[User]
5 percent of 255 =
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[Assistant] 12.75

[User]
a certain number of men can do a work in 20 days. if there were 4 men less it could be finished in 5 days more. how many men are there?
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[Assistant] 20

[User]
a train running at the speed of 36 km / hr crosses a pole in 9 seconds. find the length of the train?
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[Assistant] 90 meter

[User]
if n is a prime number greater than 3, what is the remainder when n ^ 2 is divided by 11?
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[Assistant] 3


[User]
point ( m, n ) is on the circle represented by m ^ 2 + n ^ 2 = 10, and m, n are integers. how many such points are possible?
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[Assistant] 8

[User]
find the area of the quadrilateral of one of its diagonals is 26 cm and its off sets 9 cm and 6 cm?
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[Assistant] 195 cm 2

[User]
irin, ingrid and nell bake chocolate chip cookies in the ratio of 9.18 : 5.17 : 2.05. if altogether they baked a batch of 170 cookies, what percent of the cookies did nell bake?
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[Assistant] 11.7 %

[User]
a train speeds past a pole in 23 seconds and a platform 125 m long in 33 seconds. its length is?
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[Assistant] 287.5

[User]
a bookseller sells his books at a 25 % markup in price. if he sells a book for $ 12.5, how much did he pay for it?
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[Assistant] $ 10.00


[User]
what will be the compound interest on a sum of rs. 25,000 after 3 years at the rate of 12 p. c. p. a.?
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[Assistant] rs. 10123.20

[User]
a soft drink company had 5000 small and 12000 big bottles in storage. if 15 % of small 18 % of big bottles have been sold, then the total bottles remaining in storage is
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[Assistant] 14090

[User]
4 - fifths of 3 - eighths of a number is 24. what is 250 per cent of that number?
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[Assistant] 200

[User]
rates for having a manuscript typed at a certain typing service are $ 10 per page for the first time a page is typed and $ 6 per page each time a page is revised. if a certain manuscript has 100 pages, of which 40 were revised only once, 10 were revised twice, and the rest required no revisions, what was the total cost of having the manuscript typed?
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[Assistant] $ 1110

[User]
find the mean proportional between 7921 & 9409?
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[Assistant] 8633


[User]
25 % of 1250
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[Assistant] 312.5

[User]
there are 3 vessels of equal capacity. vessel a contains milk and water in the ratio 7 : 3 ; vessel b contains milk and water in the ratio 2 : 1 and vessel c contains milk and water in the ratio 3 : 2. if the mixture in all the 3 vessels is mixed up. what will be the ratio of milk and water?
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[Assistant] 59 : 31

[User]
from a total of 5 boys and 5 girls, how many 4 - person committees can be selected if the committee must have exactly 2 boys and 2 girls?
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[Assistant] 100

[User]
a train moves with a speed of 108 kmph. its speed in metres per second is
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[Assistant] 30

[User]
( 132 ) ^ 7 × ( 132 ) ^? = ( 132 ) ^ 11.5.
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[Assistant] 4.5


[User]
a batsman in his 10 th innings makes a score of 85, and thereby increases his average by 3. what is his average after the 10 th innings? he had never been ’ not out ’.
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[Assistant] 53

[User]
a certain ball team has an equal number of right - and left - handed players. on a certain day, two - thirds of the players were absent from practice. of the players at practice that day, two - third were right handed. what is the ratio of the number of right - handed players who were not at practice that day to the number of left handed players who were not at practice?
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[Assistant] 5 / 7

[User]
martin bought 5 packet milk at an average price ( arithmetic mean ) of 20 ¢. if martin returned two packet to the retailer, and the average price of the remaining millk packet was 12 ¢, then what is the average price, in cents, of the two returned milk packets?
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[Assistant] 32

[User]
20 beavers, working together in a constant pace, can build a dam in 18 hours. how many hours will it take 12 beavers that work at the same pace, to build the same dam?
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[Assistant] 30.

[User]
a, b, c, d and e are ve consecutive odd numbers the sum of a and c is 146. what is the value of e?
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[Assistant] 79


[User]
in the coordinate plane, points ( x, 5 ) and ( 9, y ) are on line k. if line k passes through the origin and has slope 5 / 9, then x - y =
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[Assistant] 4

[User]
find the total number of prime factors in the expression ( 4 ) ^ 11 x ( 7 ) ^ 5 x ( 11 ) ^ 3
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[Assistant] 30

[User]
a jar contains 20 red, 20 blue, 6 yellow and 4 pink balls. if two balls are to be selected at random and without replacement, approximately what is the probability both of them to be the same colour?
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[Assistant] 1 / 3

[User]
diana is painting statues. she has 7 / 8 of a gallon of paint remaining. each statue requires 1 / 8 gallon of paint. how many statues can she paint?
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[Assistant] 7

[User]
jonathan can type a 10 page document in 40 minutes, susan can type it in 30 minutes, and jack can type it in 24 minutes. working together, how much time will it take them to type the same document?
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[Assistant] 10 minutes


[User]
a train 220 m long is running with a speed of 60 km / hr. in what time will it pass a man who is running at 6 km / hr in the direction opposite to that in which the train is going?
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[Assistant] 12

[User]
in the hillside summer camp there are 50 children. 90 % of the children are boys and the rest are girls. the camp administrator decided to make the number of girls only 20 % of the total number of children in the camp. how many more boys must she bring to make that happen?
Answer the question using a single word or phrase.

[Assistant] 35.

[User]
a cyclist rides a bicycle 8 km at an average speed of 11 km / hr and again travels 11 km at an average speed of 8 km / hr. what is the average speed for the entire trip?
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[Assistant] 9.04

[User]
the balance of a trader weighs 8 % less than it should. still the trader marks up his goods to get an overall profit of 20 %. what is the mark up on the cost price?
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[Assistant] 10.4 %

[User]
how many numbers from 13 to 76 are exactly divisible by 10?
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[Assistant] 6


[User]
among all sales staff at listco corporation, college graduates and those without college degrees are equally represented. each sales staff member is either a level - 1 or level - 2 employee. level - 1 college graduates account for 15 % of listco's sales staff. listco employs 60 level - 1 employees, 30 of whom are college graduates. how many sales staff members without college degrees are level - 2 employees?
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[Assistant] 70

[User]
90 % of the population of a village is 8100. the total population of the village is?
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[Assistant] 9000

[User]
a tank is filled by 3 pipes a, b, c in 4 hours. pipe c is twice as fast as b and b is twice as fast as a. how much will pipe a alone take to fill the tank?
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[Assistant] 28 hr

[User]
a rectangular garden is to be twice as long as it is wide. if 240 yards of fencing, including the gate, will completely enclose the garden, what will be the length of the garden, in yards?
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[Assistant] 80

[User]
at what rate percent on simple interest will rs. 415 amount to rs. 514 in 4 years?
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[Assistant] 5.96 %


[User]
the number 90 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] 16

[User]
the diagonals of a rhombus are 14 cm and 18 cm. find its area?
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[Assistant] 126

[User]
75 is what percent of 125?
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[Assistant] 60 %

[User]
how much more would rs. 50000 fetch, after two years, if it is put at 20 % p. a. compound interest payable half yearly than if is put at 20 % p. a. compound interest payable yearly?
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[Assistant] 1205

[User]
a certain psychologist charges $ 40 more for the first hour of therapy than for each additional hour. if the total charge to a patient who receives 5 hours of therapy is $ 375, what is the total charge to a patient who receives only 2 hours of therapy?
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[Assistant] $ 174


[User]
if the product 4864 * 9 p 2 is divisible by 12, the value of p?
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[Assistant] 1

[User]
the first year, two cows produced 8100 litres of milk. the second year their production increased by 15 % and 10 % respectively, and the total amount of milk increased to 9100 litres a year. how many litres were milked the second cow in the second year?
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[Assistant] 4730 lt

[User]
how many multiples of 4 are there between 20 and 112, inclusive?
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[Assistant] 24

[User]
in the faculty of reverse - engineering, 226 second year students study numeric methods, 423 second year students study automatic control of airborne vehicles and 134 second year students study them both. how many students are there in the faculty if the second year students are approximately 90 % of the total?
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[Assistant] 572.

[User]
a fellow borrowed a certain sum of money at 5 % per annum at simple interest and in 5 years the interest amounted to rs. 750 less than the sum lent. what was the sum lent?
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[Assistant] 1000


[User]
the total age of a and b is 18 years more than the total age of b and c. c is how many years younger than a?
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[Assistant] 18

[User]
a certain lab experiments with white and brown mice only. in one experiment, 2 / 4 of the mice are white. if there are 16 brown mice in the experiment, how many mice in total are in the experiment?
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[Assistant] 32

[User]
if x is divided by 7, the remainder is 5. what is the remainder if 4 x is divided by 7?
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[Assistant] 6

[User]
the speed of a boat in still water is 21 km / hr and the rate of current is 8 km / hr. the distance travelled downstream in 13 minutes is
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[Assistant] 6.3 km

[User]
jolene entered an 16 - month investment contract that guarantees to pay 2 percent interest at the end of 6 months, another 3 percent interest at the end of 12 months, and 4 percent interest at the end of the 18 month contract. if each interest payment is reinvested in the contract, and jolene invested $ 10,000 initially, what will be the total amount of interest paid during the 18 - month contract?
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[Assistant] $ 920.24


[User]
divide $ 600 among a, b in the ratio 1 : 3. how many $ that a get?
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[Assistant] $ 150

[User]
3 candidates in an election and received 3000, 5000 and 20000 votes respectively. what % of the total votes did the winningcandidate got in that election?
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[Assistant] 71.42 %

[User]
what number times ( 1 ⁄ 5 ) ^ 2 will give the value of 5 ^ 3?
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[Assistant] 3125

[User]
a clock shows the time as 9 a. m. if the minute hand gains 5 minutes every hour, how many minutes will the clock gain by 4 p. m.?
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[Assistant] 35 min

[User]
the average weight of 4 person's increases by 3 kg when a new person comes in place of one of them weighing 70 kg. what might be the weight of the new person?
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[Assistant] 82 kg


[User]
the no. of girls in a class are 7 times the no. of boys, which value cannever be the of total students?
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[Assistant] 30

[User]
a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. if the area of the field is 650 sq. feet, how many feet of fencing will be required?
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[Assistant] 85

[User]
john want to buy a $ 100 trouser at the store, but he think it ’ s too expensive. finally, it goes on sale for $ 50. what is the percent decrease?
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[Assistant] 50 %

[User]
10 % of a number is more than 20 % of 650 by 190. find the number?
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[Assistant] 3200

[User]
a clock store sold a certain clock to a collector for 25 percent more than the store had originally paid for the clock. when the collector tried to resell the clock to the store, the store bought it back at 55 percent of what the collector had paid. the shop then sold the clock again at a profit of 70 percent on its buy - back price. if the difference between the clock's original cost to the shop and the clock's buy - back price was $ 125, for how much did the shop sell the clock the second time?
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[Assistant] $ 467.5


[User]
the ratio of spinsters to cats is 2 to 9. if there are 63 more cats than spinsters, how many spinsters are there?
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[Assistant] 18

[User]
a survey of employers found that during 1993 employment costs rose 3.5 percent, where employment costs consist of salary costs and fringe - benefit costs. if salary costs rose 3 percent and fringe - benefit costs rose 8.5 percent during 1993, then fringe - benefit costs represented what percent of employment costs at the beginning of 1993?
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[Assistant] 9 %

[User]
the time it took car p to travel 600 miles was 2 hours less than the time it took car r to travel the same distance. if car p ’ s average speed was 10 miles per hour greater than that of car r, what was car r ’ s average speed, in miles per hour?
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[Assistant] 50

[User]
the h. c. f. of two numbers is 60 and the other two factors of their l. c. m. are 11 and 15. the larger of the two numbers is :
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[Assistant] 900

[User]
the number of even factors of 21600 is
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[Assistant] 60


[User]
at a speed of 50 miles per hour, a certain car uses 1 gallon of gasoline every 30 miles. if the car starts with a full 10 gallon tank of gasoline and travels for 5 hours at 50 miles per hour, the amount of gasoline used would be what fraction of a full tank?
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[Assistant] 5 / 6

[User]
what least number should be subtracted from 2590 so that the remainder when divided by 9, 11, and 13 will leave in each case the same remainder 6?
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[Assistant] 10

[User]
the second angle of a triangle is double the first ( 110 ). the third angle is 40 less than the first ( 15 ). find the first angle.
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[Assistant] 55

[User]
find the compound interest on $ 36,000 at 20 % per annum for 9 months, compounded quarterly
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[Assistant] 5674.5

[User]
for each of her sales, a saleswoman receives a commission equal to 20 percent of the first $ 500 of the total amount of the sale, plus 25 percent of the total amount in excess of $ 500. if the total amount of one of her sales was $ 800, the saleswoman ’ s commission was approximately what percent of the total amount of the sale?
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[Assistant] 22 %


[User]
mike took a bus from home to market, that travels at 30 kmph. while walking back at 6 kmph, halfway through, he suddenly realized he was getting late and he cycled back the remaining distance in 20 kmph. find the average speed.
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[Assistant] 21.2 kmph

[User]
in the youth summer village there are 100 people, 50 of them are not working, 25 of them have families and 75 of them like to sing in the shower. what is the largest possible number of people in the village, which are working, that do n't have families and that are singing in the shower?
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[Assistant] 50

[User]
what is the smallest no. which must be added to 3245613 so as to obtain a sum which is divisible by 11?
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[Assistant] 3

[User]
find the area of trapezium whose parallel sides are 20 cm and 18 cm long, and the distance between them is 12 cm
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[Assistant] 228 cm 2

[User]
a train 130 meters long is running with a speed of 60 kmph. in what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Answer the question using a single word or phrase.

[Assistant] 7


[User]
a certain characteristic in a large population has a distribution that is symmetric about the mean m. if 68 percent of the distribution lies within one standard deviation d of the mean, what percent j of the distribution is less than m + d?
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[Assistant] 84 %

[User]
in a 4 person race, medals are awarded to the fastest 3 runners. the first - place runner receives a gold medal, the second - place runner receives a silver medal, and the third - place runner receives a bronze medal. in the event of a tie, the tied runners receive the same color medal. ( for example, if there is a two - way tie for first - place, the top two runners receive gold medals, the next - fastest runner receives a silver medal, and no bronze medal is awarded ). assuming that exactly 3 medals are awarded, and that the 3 medal winners stand together with their medals to form a victory circle, how many z different victory circles are possible?
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[Assistant] 52

[User]
an air - conditioning unit costs $ 470. on december there was a discount for christmas of 16 %. 6 months later, the holiday season was over so the company raised the price of the air - conditioning by 12 %. how much will an air - conditioning unit cost in november?
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[Assistant] $ 442

[User]
in the hillside summer camp there are 50 children. 90 % of the children are boys and the rest are girls. the camp administrator decided to make the number of girls only 5 % of the total number of children in the camp. how many more boys must she bring to make that happen?
Answer the question using a single word or phrase.

[Assistant] 50

[User]
the average of first five multiples of 5 is
Answer the question using a single word or phrase.

[Assistant] 15


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

[User]
how many diagonals does a polygon with 17 sides have, if one of its vertices does not connect to any diagonal?
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[Assistant] 104

[User]
the sum of 3 consecutive multiples of 3 is 72. what is the larget number?
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[Assistant] 27

[User]
find the value of sin 75 ° + sin 15 ° =?
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[Assistant] 1

[User]
a train traveling at 180 kmph crosses a platform in 30 seconds and a man standing on the platform in 12 seconds. what is the length of the platform in meters?
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[Assistant] 600 meters


[User]
if ( 5 ^ 7 ) ( 9 ^ 4 ) = 3 ( 15 ^ x ), what is the value of x?
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[Assistant] 7

[User]
henrikh lives x blocks from his office. it takes him 1 minute per block to walk to work and 20 seconds per block to ride his bicycle to work. if it takes him exactly 8 minutes more to walk to work than to ride his bicycle, then x equals
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[Assistant] 12

[User]
george is 8 years more than christopher and ford is 2 years younger than christopher. the sum of their ages is 60. find the ages of christopher.
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[Assistant] 18

[User]
john and ingrid pay 30 % and 40 % tax annually, respectively. if john makes $ 56000 and ingrid makes $ 74000, what is their combined tax rate?
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[Assistant] 35.6 %

[User]
10 ^ ( 65 ) ã · 10 ^ ( 64 ) =?
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[Assistant] 10


[User]
the average of the marks of 11 students in a class is 36. if the marks of each student are doubled, find the new average?
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[Assistant] 72

[User]
the average age of students of a class is 15.8 years. the average age of boys in the class is 16.4 years and that of the girls is 15.4 years. the ration of the number of boys to the number of girls in the class is :
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[Assistant] 2 : 3

[User]
in a restaurant, the profit is 140 % of the cost. if the cost increases by 12 % but the selling price remains constant, approximately what percentage of the selling price is the profit?
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[Assistant] 53 %

[User]
if one root of the equation 2 x ^ 2 + 3 x – k = 0 is 5, what is the value of k?
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[Assistant] 65

[User]
from the salary of rahul, 20 % is deducted as house rent, 10 % of the rest he spends on children ’ s education and 10 % of the balance, he spends on clothes. after this expenditure he is left with rs 1377. his salary is?
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[Assistant] rs 2125


[User]
the closest approximation of q = ( 69.28 × 0.004 ) / 0.03 is
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[Assistant] 9.2

[User]
in an office, totally there are 800 employees and 25 % of the total employees are males. 40 % of the males in the office are at - least 50 years old. find the number of males aged below 50 years?
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[Assistant] 120

[User]
if a certain number x is divided by 82, the reminder is 5. what is the reminder when x + 13 is divided by 41?
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[Assistant] 18

[User]
find the sum lend at c. i. at 5 p. c per annum will amount to rs. 341 in 2 years?
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[Assistant] 309

[User]
a sum fetched total simple interest of 4016.25 at the rate of 10 p. c. p. a. in 5 years. what is the sum?
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[Assistant] 8032.5


[User]
in a factory, an average of 50 tv's are produced per day for the fist 25 days of the months. a few workers fell ill for the next 5 days reducing the daily avg for the month to 45 sets / day. the average production per day for day last 5 days is?
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[Assistant] 20

[User]
the expression x # y denotes the product of the consecutive multiples of 3 between x and y, inclusive. what is the sum of the exponents in the prime factorization of 21 # 42?
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[Assistant] 23

[User]
( 1.2 ) ( power 3 ) - ( 0.9 ) ( power 3 ) / ( 1.2 ) ( power 2 ) + 1.08 + ( 0.9 ) ( power 2 ) is :
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[Assistant] 0.3

[User]
a volume of 10996 l water is in a container of sphere. how many hemisphere of volume 4 l each will be required to transfer all the water into the small hemispheres?
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[Assistant] 2749

[User]
linda spent 3 / 4 of her savings on furniture and the rest on a tv. if the tv cost her $ 200, what were her original savings?
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[Assistant] $ 800


[User]
a lent rs. 4000 to b for 2 years and rs. 2000 to c for 4 years on simple interest at the same rate of interest and received rs. 2200 in all from both of them as interest. the rate of interest per annum is :
Answer the question using a single word or phrase.

[Assistant] 13.75 %

[User]
what is the 23 th digit to the right of the decimal point in the decimal form of 36 / 66?
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[Assistant] 4

[User]
a man can row his boat with the stream at 6 km / h and against the stream in 2 km / h. the man's rate is?
Answer the question using a single word or phrase.

[Assistant] 2 kmph

[User]
a mixture contains alcohol and water in the ratio 4 : 3. if 5 liters of water is added to the mixture, the ratio becomes 4 : 5. find the quantity of alcohol in the given mixture.
Answer the question using a single word or phrase.

[Assistant] 10

[User]
if the l. c. m of two numbers is 600 and their product is 18000, find the h. c. f of the numbers.
Answer the question using a single word or phrase.

[Assistant] 30


[User]
working at a constant rate, p can finish a job in 3 hours. q, also working at a constant rate, can finish the same job in 18 hours. if they work together for 2 hours, how many more minutes will it take p to finish the job, working alone at his constant rate?
Answer the question using a single word or phrase.

[Assistant] 40

[User]
at a restaurant, glasses are stored in two different - sized boxes. one box contains 12 glasses, and the other contains 16 glasses. if the average number of glasses per box is 15, and there are 16 more of the larger boxes, what is the total number of glasses q at the restaurant? ( assume that all boxes are filled to capacity. )
Answer the question using a single word or phrase.

[Assistant] q = 480

[User]
tanks a and b are each in the shape of a right circular cylinder. the interior of tank a has a height of 10 meters and a circumference of 7 meters, and the interior of tank b has a height of 7 meters and a circumference of 10 meters. the capacity of tank a is what percent of the capacity of tank b?
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[Assistant] 70 %

[User]
car a runs at the speed of 50 km / hr and reaches its destination in 8 hours. car b runs at the speed of 70 km / h and reaches its destination in 4 hours. what is the ratio of distances covered by car a and car b?
Answer the question using a single word or phrase.

[Assistant] 10 : 7

[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. 12700 after a year?
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[Assistant] 3810


[User]
sum of two numbers is 25 and their difference is 13. find their product.
Answer the question using a single word or phrase.

[Assistant] 114

[User]
if 13 = 13 w / ( 1 - w ), then ( 3 w ) 2 =
Answer the question using a single word or phrase.

[Assistant] 3

[User]
john's bank's saving amount is decreased 12 % due to loan payment and current balance is rs. 44000. find the actual balance before deduction?
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[Assistant] 50000

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

[User]
what is the sum of all remainders obtained when the first 300 natural numbers are divided by 9?
Answer the question using a single word or phrase.

[Assistant] 405


[User]
an escalator moves towards the top level at the rate of 12 ft. sec and its length is 150 feet. if a person walks on the moving escalator at the rate of 3 feet per second towards the top level, how much time does he take to cover the entire length.
Answer the question using a single word or phrase.

[Assistant] 10 sec

[User]
in a 100 m sprint race kelly was given a 3 m head start by abel. if abel lost the race to kelly by a distance of 0.50 m, how many meters more would abel need to overtake kelly?
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[Assistant] 19.9

[User]
a certain characteristic in a large population has a distribution that is symmetric about the mean m. if 68 % of the distribution lies one standard deviation h of the mean, what percent of the distribution is less than m + h?
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[Assistant] 84 %

[User]
what is the 4 digit number whose second digit is thrice the first digit and 3 rd digit is sum of 1 st and 2 nd and last digit is thrice the second digit.
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[Assistant] 1349

[User]
how many of the positive factors of 20 are not factors of 24
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[Assistant] 3


[User]
in a lake, there is a patch of lily pads. every day, the patch doubles in size. it takes 48 days for the patch to cover the entire lake, how many days would it take the patch to cover half of the lake?
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[Assistant] 47

[User]
find compound interest on rs. 5000 at 12 % per annum for 1 year, compounded half - yearly.
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[Assistant] rs. 618

[User]
if 20 men can build a wall 112 metres long in 6 days, what length of a similar wall can be built by 35 men in 3 days?
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[Assistant] 98 mtr.

[User]
how many of the positive factors of 85, 105 and how many common factors are there in numbers?
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[Assistant] 2

[User]
sakshi can do a piece of work in 20 days. tanya is 25 % more efficient than sakshi. the number of days taken by tanya to do the same piece of work is?
Answer the question using a single word or phrase.

[Assistant] 16 days


[User]
if a / b = 1 / 3, b / c = 2, c / d = 1 / 2, d / e = 3 and e / f = 1 / 6, then what is the value of abc / def?
Answer the question using a single word or phrase.

[Assistant] 1 / 4

[User]
a and b invests rs. 4000 and rs. 4000 respectively in a business. if a doubles his capital after 6 months. in what ratio should a and b divide that year's profit?
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[Assistant] 3 : 2

[User]
find the value of x? ( 2 / 7 ) ^ - 8 * ( 7 / 2 ) ^ - 2 = ( 2 / 7 ) ^ x
Answer the question using a single word or phrase.

[Assistant] - 6

[User]
in a maths test, students were asked to find 5 / 16 of a certain number. one of the students by mistake found 5 / 6 th of that number and his answer was 200 more than the correct answer. find the number.
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[Assistant] 384

[User]
how many seconds does sandy take to cover a distance of 500 meters, if sandy runs at a speed of 18 km / hr?
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[Assistant] 100


[User]
8 men can do a piece of work in 12 days. 4 women can do it in 48 days and 10 children can do it in 24 days. in how many days can 10 men, 4 women and 18 children together complete the piece of work?
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[Assistant] 5 days

[User]
the circumference of the front wheel of a cart is 30 ft long and that of the back wheel is 35 ft long. what is the distance traveled by the cart, when the front wheel has done five more revolutions than the rear wheel?
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[Assistant] 1050 ft

[User]
a frog can climb up a well at 3 ft per min but due to slipperiness of the well, frog slips down 2 ft before it starts climbing the next minute. if the depth of the well is 57 ft, how much time will the frog take to reach the top?
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[Assistant] 55

[User]
if 50 % of x is 20 less than 5 % of 500, then x is?
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[Assistant] 10

[User]
calculate the largest 4 digit number which is exactly divisible by 98?
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[Assistant] 9996


[User]
20 6 years ago, a father was 3 times as old as his son. now the father is only twice as old as his son. then the sum of the present ages of the son and the father is :
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[Assistant] 156

[User]
the compound and the simple interests on a certain sum at the same rate of interest for two years are rs. 11730 and rs. 10200 respectively. find the sum?
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[Assistant] rs. 17000

[User]
x varies inversely as square of y. given that y = 3 for x = 1. the value of x for y = 6 will be equal to :
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[Assistant] 1 / 4

[User]
each child has 3 crayons and 12 apples. if there are 6 children, how many crayons are there in total?
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[Assistant] 18

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

[Assistant] 5.76


[User]
a sun is divided among x, y and z in such a way that for each rupee x gets, y gets 45 paisa and z gets 50 paisa. if the share of y is rs. 18, what is the total amount?
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[Assistant] 78

[User]
the l. c. m. of 2 numbers is 30. the numbers are in the ratio 2 : 3. find their sum?
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[Assistant] 25

[User]
if 15 horses eat 15 bags of gram in 15 days, in how many days will one horse eat one bag of grain?
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[Assistant] 15 days

[User]
in a certain game, each player scores either 2 points or 5 points. if n players score 2 points and m players score 5 points, and the total number of points scored is 50, what is the least possible positive t difference between n and m?
Answer the question using a single word or phrase.

[Assistant] 3

[User]
if the average of 201, 202, 204, 205, 206, 209, 209, 210, 212 and x is 207, what is the value of x?
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[Assistant] 212


[User]
find the value of ( 28 + 48 / 69 ) × 69
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[Assistant] 1980

[User]
a soccer store typically sells replica jerseys at a discount of 20 percent to 50 percent off list price. during the annual summer sale, everything in the store is an additional 20 percent off the original list price. if a replica jersey's list price is $ 80, approximately what percent of the list price is the lowest possible sale price?
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[Assistant] 50

[User]
a new tower has just been built at the verbico military hospital ; the number of beds available for patients at the hospital is now 4 times the number available before the new tower was built. currently, 1 / 3 of the hospital's original beds, as well as 1 / 5 of the beds in the new tower, are occupied. for the purposes of renovating the hospital's original wing, all of the patients in the hospital's original beds must be transferred to beds in the new tower. if patients are neither admitted nor discharged during the transfer, what fraction of the beds in the new tower will be unoccupied once the transfer is complete?
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[Assistant] 31 / 45

[User]
if jake loses 32 pounds, he will weigh twice as much as his sister. together they now weigh 212 pounds. what is jake ’ s present weight, in pounds?
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[Assistant] 152

[User]
a train 125 m long passes a man, running at 5 km / hr in the same direction in which the train is going, in 10 sec. the speed of the train is?
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[Assistant] 50 km / hr


[User]
how many cuboids of length 6 m, width 4 m and height 3 m can be farmed from a cuboid of 18 m length, 15 m width and 2 m height.
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[Assistant] 7.5

[User]
how many seconds will a train 100 meters long take to cross a bridge 180 meters long if the speed of the train is 36 kmph?
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[Assistant] 28

[User]
there are 36 students in a certain geometry class. if one third of the students are boys and one fourth of the boys are under 6 feet tall, how many boys in the class are under 6 feet tall?
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[Assistant] 3

[User]
find the area of the quadrilateral of one of its diagonals is 30 cm and its off sets 9 cm and 6 cm?
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[Assistant] 225 cm 2

[User]
a cricketer scored 138 runs which included 12 boundaries and 2 sixes. what percent of his total score did he make by running between the wickets.
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[Assistant] 56.52 %


[User]
p and q invested in a shop. the profits were divided in the ratio of 2 : 3 respectively. if p invested rs. 40,000, the amount invested by q is :
Answer the question using a single word or phrase.

[Assistant] 60000

[User]
if taxi fares were $ 8.00 for the first 1 / 5 mile and $ 0.8 for each 1 / 5 mile there after, then the taxi fare for a 8 - mile ride was
Answer the question using a single word or phrase.

[Assistant] $ 39.20

[User]
with both valves open, the pool will be filled with water in 48 minutes. the first valve alone would fill the pool in 2 hours. if the second valve emits 50 cubic meters of water more than the first every minute, then what is the capacity q of the pool?
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[Assistant] 12000 cubic meters

[User]
how many diagonals does a 63 - sided convex polygon have?
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[Assistant] 1890

[User]
uncle bruce is baking chocolate chip cookies. he has 36 ounces of dough ( with no chocolate ) and 20 ounces of chocolate. how much chocolate is left over if he uses all the dough but only wants the cookies to consist of 10 % chocolate?
Answer the question using a single word or phrase.

[Assistant] 16


[User]
the area of one square is x ^ 2 + 10 x + 25 and the area of another square is 4 x ^ 2 − 12 x + 9. if the sum of the perimeters of both squares is 64, what is the value of x?
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[Assistant] 4.8

[User]
how long does a train 100 m long traveling at 72 kmph takes to cross a tunnel of 1400 m in length?
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[Assistant] 75 sec

[User]
a person walks from one end to the other of a 60 - meter long moving walkway at a constant rate in 30 seconds, assisted by the walkway. when this person reaches the end, they reverse direction and continue walking with the same speed, but this time it takes 120 seconds because the person is traveling against the direction of the moving walkway. if the walkway were to stop moving, how many seconds would it take this person to walk from one end of the walkway to the other?
Answer the question using a single word or phrase.

[Assistant] 48

[User]
mike took a taxi to the airport and paid $ 2.50 to start plus $ 0.25 per mile. annie took a different route to the airport and paid $ 2.50 plus $ 5.00 in bridge toll fees plus $ 0.25 per mile. if each was charged exactly the same amount, and annie's ride was 22 miles, how many miles was mike's ride?
Answer the question using a single word or phrase.

[Assistant] 42

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

[Assistant] - 8


[User]
what is the dividend from tony's stock, if he invested rs. 3200 at 85 to obtain an income of rs. 250.
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[Assistant] 6.6

[User]
a is twice as good a workman as b and together they finish a piece of work in 14 days. the number of days taken by a alone to finish the work is :
Answer the question using a single word or phrase.

[Assistant] 21

[User]
a test has 160 questions. each question has 5 options, but only 1 option is correct. if test - takers mark the correct option, they are awarded 1 point. however, if an answer is incorrectly marked, the test - taker loses 0.25 points. no points are awarded or deducted if a question is not attempted. a certain group of test - takers attempted different numbers of questions, but each test - taker still received the same net score of 40. what is the maximum possible number of such test - takers?
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[Assistant] 25

[User]
the price of a coat in a certain store is $ 500. if the price of the coat is to be reduced by $ 150, by what percent is the price to be reduced?
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[Assistant] 30 %

[User]
if a man lost 4 % by selling oranges at the rate of 60 a rupee at how many a rupee must he sell them to gain 44 %?
Answer the question using a single word or phrase.

[Assistant] 40


[User]
a man can row 9 kmph in still water. when the river is running at 1.2 kmph, it takes him 1 hour to row to a place and back. what is the total distance traveled by the man?
Answer the question using a single word or phrase.

[Assistant] 8.84 km

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

[User]
two trains 300 m and 450 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks. the time which they take to cross each other is?
Answer the question using a single word or phrase.

[Assistant] 27

[User]
a shopkeeper buys mangoes at the rate of 6 a rupee and sells them at 3 a rupee. find his net profit or loss percent?
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[Assistant] 50 %

[User]
what percent of 180 is 45?
Answer the question using a single word or phrase.

[Assistant] 25 %


[User]
if 20 men can build a wall 112 metres long in 6 days, what length of a similar wall can be built by 15 men in 3 days?
Answer the question using a single word or phrase.

[Assistant] 42 mtr.

[User]
b completes a work in 3 days. a alone can do it in 10 days. if both work together, the work can be completed in how many days?
Answer the question using a single word or phrase.

[Assistant] 2.31 days

[User]
a and b started a business in partnership investing rs. 20,000 and rs. 15,000 respectively. after 6 months, c joined them with rs. 20,000. whatwill be b's share in total profit of rs. 20,000 earned at the end of 2 years from the startingof the business?
Answer the question using a single word or phrase.

[Assistant] s. 6,000

[User]
nick took a bus from home to market, that travels at 80 kmph. while walking back at 8 kmph, halfway through, he suddenly realized he was getting late and he cycled back the remaining distance in 60 kmph. find the average speed.
Answer the question using a single word or phrase.

[Assistant] 48.0 kmph

[User]
a boat having a length 6 m and breadth 3 m is floating on a lake. the boat sinks by 1 cm when a man gets on it. the mass of the man is :
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[Assistant] 180 kg


[User]
a computer is programmed to multiply consecutive even integers 2 * 4 * 6 * 8 * … * n until the product is divisible by 1551, what is the value of n?
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[Assistant] 94

[User]
0.999999 + 0.111111 =?
Answer the question using a single word or phrase.

[Assistant] 1.11111

[User]
if the cost price of 10 articles is same as the selling price of 25 articles. find the gain or loss percentage?
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[Assistant] 60 % loss

[User]
what is the unit digit in 7 ^ 105?
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[Assistant] 7

[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 $ 112 and $ 120 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?
Answer the question using a single word or phrase.

[Assistant] 784


[User]
how many seconds will a 800 m long train take to cross a man walking with a speed of 5 km / hr in the direction of the moving train if the speed of the train is 65 km / hr?
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[Assistant] 48

[User]
the sum of five consecutive even numbers is 500. find the middle number of the five?
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[Assistant] 100

[User]
a and b together can do a piece of work in 6 days and a alone can do it in 14 days. in how many days can b alone can do it?
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[Assistant] 21 / 2 days

[User]
triathlete dan runs along a 2 - mile stretch of river and then swims back along the same route. if dan runs at a rate of 8 miles per hour and swims at a rate of 6 miles per hour, what is his average rate for the entire trip in miles per minute?
Answer the question using a single word or phrase.

[Assistant] 1 / 9

[User]
a man engaged a servant on the condition that he would pay him rs. 600 and a uniform after one year service. he served only for 9 months and received uniform and rs. 400, find the price of the uniform?
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[Assistant] s. 200


[User]
find the value of y from ( 12 ) ^ 1 x 6 ^ 4 ÷ 432 = y?
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[Assistant] 36

[User]
find the least number which when divided by 20, 25,35 and 40 leaves remainders 14, 19,29 and 34 respectively.
Answer the question using a single word or phrase.

[Assistant] 1394

[User]
if 1 / 8 of a pencil is black, 1 / 2 of the remaining is white and the remaining 3 1 / 2 cm is blue, find the total length of the pencil.
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[Assistant] 8

[User]
marcella has 25 pairs of shoes. if she loses 9 individual shoes, what is the greatest number of matching pairs she could have left?
Answer the question using a single word or phrase.

[Assistant] 20

[User]
the radius of a wheel is 22.4 cm. what is the distance covered by the wheel in making 180 resolutions?
Answer the question using a single word or phrase.

[Assistant] 253.4 m


[User]
if a motorist had driven 1 hour longer on a certain day and at an average rate of 5 miles per hour faster, he would have covered 80 more miles than he actually did. how many more miles would he have covered than he actually did if he had driven 2 hours longer and at an average rate of 10 miles per hour faster on that day?
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[Assistant] 160

[User]
a reduction of 20 % in the price of oil enables a house wife to obtain 10 kgs more for rs. 1500, what is the reduced price for kg?
Answer the question using a single word or phrase.

[Assistant] rs. 30

[User]
a train passes a station platform in 36 sec and a man standing on the platform in 20 sec. if the speed of the train is 99 km / hr. what is the length of the platform?
Answer the question using a single word or phrase.

[Assistant] 440

[User]
100 white and black tiles will be used to form a 20 x 20 square pattern. if there must be at least one black tile in every row and at least one white tile in every column, what is the maximum difference between the number of black and white tiles that can be used?
Answer the question using a single word or phrase.

[Assistant] 70

[User]
two numbers a and b are such that the sum of 6 % of a and 4 % of b is two - third of the sum of 6 % of a and 8 % of b. find the ratio of a : b.
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[Assistant] 2 : 3


[User]
if the sum of the first n positive integers is s, what is the sum of the first n negative even integers, in terms of s?
Answer the question using a single word or phrase.

[Assistant] 2 s

[User]
if you add all the numbers on your mobile phone except 9, what is the answer?
Answer the question using a single word or phrase.

[Assistant] 36

[User]
a fruit drink is made of orange, watermelon, and grape juice, where 25 percent of the drink is orange juice and 40 percent is watermelon juice. if the drink is made with 70 ounces of grape juice, how many ounces is the drink total?
Answer the question using a single word or phrase.

[Assistant] 200

[User]
the wages earned by robin is 30 % more than that earned by erica. the wages earned by charles is 60 % more than that earned by erica. how much percent is the wages earned by charles more than that earned by robin?
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[Assistant] 23 %

[User]
the speed of a boat in still water in 42 km / hr and the rate of current is 7 km / hr. the distance travelled downstream in 44 minutes is :
Answer the question using a single word or phrase.

[Assistant] 35.9 km


[User]
what is the remainder when 750 * 810 * 830 * 790 is divided by 13?
Answer the question using a single word or phrase.

[Assistant] 10

[User]
sides of a rectangular park are in the ratio 2 : 5 and its area is 3750 sq m, the cost of fencing it at 50 ps per meter is?
Answer the question using a single word or phrase.

[Assistant] s. 130.64

[User]
the sum of ages of 5 children born at the intervals of 3 years each is 60 years. what is the age of the youngest child?
Answer the question using a single word or phrase.

[Assistant] 6 years

[User]
a 100 - litre mixture of milk and water contains 36 litres of milk.'x'litres of this mixture is removed and replaced with an equal quantum of water. if the process is repeated once, then the concentration of the milk stands reduced at 9 %. what is the value of x?
Answer the question using a single word or phrase.

[Assistant] 50 litres

[User]
length of a rectangular plot is 24 mtr more than its breadth. if the cost of fencin gthe plot at 26.50 per meter is rs. 5300, what is the length of the plot in mtr?
Answer the question using a single word or phrase.

[Assistant] 62 m


[User]
if x is real, find the maximum value of the expression - 2 x ^ 2 + 7 x + 9.
Answer the question using a single word or phrase.

[Assistant] 15.125

[User]
the average monthly salary of 20 employees in an organisation is rs. 1500. if the manager's salary is added, then the average salary increases by rs. 150. what is the manager's monthly salary?
Answer the question using a single word or phrase.

[Assistant] rs. 4650

[User]
the probability of two events a and b are 0.25 and 0.30 respectively. the probability that both a and b occur is 0.15. the probability that neither a nor b occur is _________
Answer the question using a single word or phrase.

[Assistant] 0.6

[User]
the sum of 4 consecutive even numbers is 140. what would be the largest number?
Answer the question using a single word or phrase.

[Assistant] 38

[User]
in a sample of college students, 50 percent are third year students and 70 percent are not second - year students. what fraction of those students who are not third - year students are second - year students?
Answer the question using a single word or phrase.

[Assistant] 2 / 3


[User]
a camera lens filter kit containing 5 filters sells for $ 75.50. if the filters are purchased individually, 3 of them are priced at $ 7.35 each, 3 at $ 12.05 each, 1 at $ 12.50. the amount saved by purchasing the kit is what percent of the total price of the 5 filters purchased individually?
Answer the question using a single word or phrase.

[Assistant] 6.35 %

[User]
if a randomly selected positive single digit multiple of 3 is multiplied by a randomly selected prime number less than 20, what is the probability e that this product will be a multiple of 45?
Answer the question using a single word or phrase.

[Assistant] 1 / 24

[User]
when positive integer n is divided by positive integer j, the remainder is 16. if n / j = 204.04, what is value of j?
Answer the question using a single word or phrase.

[Assistant] 400

[User]
find the lowest common multiple of 24, 36 and 40.
Answer the question using a single word or phrase.

[Assistant] 360

[User]
14 is what percent of 70?
Answer the question using a single word or phrase.

[Assistant] 20 %


[User]
a theater charges $ 12 for seats in the orchestra and $ 8 for seats in the balcony. on a certain night, a total of 360 tickets were sold for a total cost of $ 3,320. how many more tickets were sold that night for seats in the balcony than for seats in the orchestra?
Answer the question using a single word or phrase.

[Assistant] 140

[User]
a train running at the speed of 36 km / hr crosses a pole in 9 seconds. what is the length of the train?
Answer the question using a single word or phrase.

[Assistant] 90 metres

[User]
tough and tricky questions : arithmetic. ( 56 ^ 2 + 56 ^ 2 ) / 28 ^ 2 =
Answer the question using a single word or phrase.

[Assistant] 8

[User]
a boy has rs. 480 in the denominations of one - rupee notes, 5 - rupee notes and 10 - rupee notes. the number of notes of each denomination is equal. what is the total number of notes that he has?
Answer the question using a single word or phrase.

[Assistant] 90

[User]
glen and hannah drive at constant speeds toward each other on a highway. glen drives at a constant speed of 37 km per hour. at a certain time they pass by each other, and then keep driving away from each other, maintaining their constant speeds. if glen is 130 km away from hannah at 6 am, and also 130 km away from hannah at 11 am, then how fast is hannah driving ( in kilometers per hour )?
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[Assistant] 15


[User]
the output of a factory was increased by 10 % to keep up with rising demand. to handle the holiday rush, this new output was increased by 20 %. by approximately what percent would the output now have to be decreased in order to restore the original output?
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[Assistant] 24 %

[User]
integer d is the product of the integers a, b, and c and 1 < a < b < c. if the remainder when 233 is divided by d is 79, what is the value of a + c?
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[Assistant] 13

[User]
each of the 20 boxes in a certain shipment weighs either 10 pounds or 20 pounds, and the average ( arithmetic mean ) weight of the boxes in the shipment is 18 pounds. if the average weight of the boxes in the shipment is to be reduced to 15 pounds by removing some of the 20 - pound boxes, how many 20 - pound boxes must be removed?
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[Assistant] 12

[User]
the monthly rent of a shop of dimension 18 feet × 20 feet is rs. 3600. what is the annual rent per square foot of the shop?
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[Assistant] 120

[User]
a van takes 6 hours to cover a distance of 378 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] 42 kmph


[User]
country x taxes each of its citizens an amount equal to 14 percent of the first $ 40,000 of income, plus 20 percent of all income in excess of $ 40,000. if a citizen of country x is taxed a total of $ 8,000, what is her income?
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[Assistant] $ 52,000

[User]
a shopkeeper sold an article offering a discount of 5 % and earned a profit of 18.75 %. what would have been the percentage of profit earned if no discount was offered?
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[Assistant] 25 %

[User]
a sum of 15,600 amounts to 21,200 in 5 years at the rate of simple interest. what is the rate of interest?
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[Assistant] 7 %

[User]
a tank holds x gallons of a saltwater solution that is 20 % salt by volume. one fourth of the water is evaporated, leaving all of the salt. when 8 gallons of water and 16 gallons of salt are added, the resulting mixture is 33 1 / 3 % salt by volume. what is the value of x?
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[Assistant] 120

[User]
rs. 6000 is lent out in two parts. one part is lent at 7 % p. a simple interest and the other is lent at 8 % p. a simple interest. the total interest at the end of one year was rs. 450. find the ratio of the amounts lent at the lower rate and higher rate of interest?
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[Assistant] 5 : 5


[User]
we invested a total of $ 1,000. we invested one part of the money at 4 % and the rest of the money at 6 %. the total investment with interest at the end of the year was $ 1,046. how much money did we invest at 4 %?
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[Assistant] $ 700

[User]
steve traveled the first 2 hours of his journey at 40 mph and the last 3 hours of his journey at 60 mph. what is his average speed of travel for the entire journey?
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[Assistant] 52 mph

[User]
subtracting 6 % of a from a is equivalent to multiplying a by how much?
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[Assistant] 0.94

[User]
how many 3 digit numbers are completely divisible 6?
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[Assistant] 150

[User]
what is the remainder if 7 ^ 3 is divided by 100?
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[Assistant] 43


[User]
in 140 m race, a covers the distance in 36 seconds and b in 45 seconds. in this race a beats b by :
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[Assistant] 28 m

[User]
how many times in a day, the hands of a clock are straight?
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[Assistant] 44

[User]
the visitors of a modern art museum who watched a certain picasso painting were asked to fill in a short questionnaire indicating whether they had enjoyed looking at the picture and whether they felt they had understood it. according to the results of the survey, all 140 visitors who did not enjoy the painting also did not feel they had understood the painting, and the number of visitors who enjoyed the painting was equal to the number of visitors who felt they had understood the painting. if 3 / 4 of the visitors who answered the questionnaire both enjoyed the painting and felt they had understood the painting, then how many visitors answered the questionnaire?
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[Assistant] 560

[User]
the average monthly salary of 8 workers and one supervisor in a factory was 430. @ sswhen @ ssthe @ sssupervisor @ cc @ sswhose @ sssalary @ sswas @ ss 430. @ sswhen @ ssthe @ sssupervisor @ cc @ sswhose @ sssalary @ sswas @ ss 430. whenthesupervisor, whosesalarywas 430. when the supervisor, whose salary was 870 per month, retired, a new person was appointed and then the average salary of 9 people was $ $ 430 per month. the salary of the new supervisor is :
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[Assistant] 870

[User]
3 men and 2 women are lined up in a row. what is the number of cases where they stand with each other in turn? ( the number of cases in which men ( or women ) do not stand next to each other )
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[Assistant] 12


[User]
what is the greatest integer m for which the number 40! / 10 ^ m is an integer?
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[Assistant] 9

[User]
50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. if the average displacement of water by a man is 4 m 3, then the rise in the water level in the tank will be :
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[Assistant] 25 cm

[User]
darcy lives 1.5 miles from work. she can walk to work at a constant rate of 3 miles per hour, or she can ride the train to work at a constant rate of 20 miles per hour. if she rides the train, there is an additional x minutes spent walking to the nearest train station, waiting for the train, and walking from the final train station to her work. if it takes darcy a total of 25 more minutes to commute to work by walking than it takes her to commute to work by riding the train, what is the value of x?
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[Assistant] 0.5

[User]
if 5 ^ 21 x 8 ^ 7 = 10 ^ n what is the value of n?
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[Assistant] 21

[User]
at a certain supplier, a machine of type a costs $ 20000 and a machine of type b costs $ 60000. each machine can be purchased by making a 20 percent down payment and repaying the remainder of the cost and the finance charges over a period of time. if the finance charges are equal to 40 percent of the remainder of the cost, how much less would 2 machines of type a cost than 1 machine of type b under this arrangement?
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[Assistant] $ 26,400


[User]
the wages of 24 men and 16 women amounts to rs. 11600 per day. half the number of men and 37 women earn the same amount per day. what is the daily wage of a man?
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[Assistant] 350

[User]
a library branch originally contained 18360 volumes, 30 % of which were fiction novels. 1 / 3 of the volumes were transferred to another location and 1 / 2 of the volumes transferred were fiction novels. what percent of the remaining collection was fiction novels?
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[Assistant] 20 %

[User]
what is the compound interest on rs. 7000 at 8.5 % p. a. compounded half - yearly for 5 years.
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[Assistant] 3613.5

[User]
the ratio of the ages of mini and minakshi is 4 : 3. the sum of their ages is 14 years. the ratio of their ages after 8 years will be
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[Assistant] 8 : 7

[User]
a large field of 700700 hectares is divided into two parts. the difference of the areas of the two parts is one - fifth of the average of the two areas. what is the area of the smaller part in hectares?
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[Assistant] 315


[User]
the purchase price of an article is $ 48. in order to include 30 % of cost for overhead and to provide $ 12 of net profit, the markup should be
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[Assistant] 55 %

[User]
how many diagonals does a polygon with 23 sides have, if one of its vertices does not connect to any diagonal?
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[Assistant] 209

[User]
mary invested a certain sum of money in a bank that paid simple interest. the amount grew to $ 260 at the end of 2 years. she waited for another 3 years and got a final amount of $ 350. what was the principal amount that she invested at the beginning?
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[Assistant] $ 200

[User]
heinz produces tomato puree by boiling tomato juice. the tomato puree has only 20 % water while the tomato juice has 90 % water. how many liters of tomato puree will be obtained from 50 litres of tomato juice?
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[Assistant] 6.25 liters.

[User]
laxmi and prasanna set on a journey. laxmi moves northwards at a speed of 22 kmph and prasanna moves southward at a speed of 24 kmph. how far will be prasanna from laxmi after 60 minutes?
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[Assistant] 44