[User]
in a family 4 people eat only vegetarian, 3 people eat only non veg., 2 people eat both veg and non veg.. how many people are in the family?
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[Assistant] 9

[User]
how many of the positive factors of 36 are not factors of 72
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[Assistant] 0

[User]
trapezoid jklm in the x - y plane has coordinates j = ( – 2, – 1 ), k = ( – 2, 1 ), l = ( 6, 7 ), and m = ( 6, – 1 ). what is its perimeter?
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[Assistant] 31

[User]
noelle walks from point a to point b at an average speed of 4 kilometers per hour. at what speed, in kilometers per hour, must noelle walk from point b to point a so that her average speed for the entire trip is 6 kilometers per hour?
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[Assistant] 12

[User]
the sum of all two digit numbers divisible by 4 is
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[Assistant] 1242


[User]
the profits of qrs company rose 35 % from march to april, then dropped 20 % from april to may, then rose 50 % from may to june. what was the percent increase for the whole quarter, from march to june?
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[Assistant] 62 %

[User]
find the area of a parallelogram with base 36 cm and height 24 cm?
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[Assistant] 864

[User]
what quantity of water should taken out to concentrate 18 liters of 40 % acidic liquid to 60 % acidic liquid?
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[Assistant] 6 liters

[User]
if the arithmetic mean of p and q is 10 and the arithmetic mean of q and r is 26, what is the value of r - p?
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[Assistant] 32

[User]
a can do a work in 6 days. b can do the same work in 4 days. both a & b together will finish the work and they got $ 2000 from that work. find their shares?
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[Assistant] 800,1200


[User]
3.00001 unbiased coins are tossed. what is the probability of getting 2 tails?
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[Assistant] 3 / 8

[User]
veena ranks 73 rd from the top in a class of 182. what is her rank from the bottom if 35 students have failed the examination?
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[Assistant] 75

[User]
the first doughnut is priced at $ 1 and then if you purchase additional doughnuts as dozens then the price is $ 6 / dozen. what is the total number of doughnuts purchased if you paid $ 20?
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[Assistant] 38

[User]
a bowl was half full of water. 4 cups of water were then added to the bowl, filling the bowl to 70 % of its capacity. how many cups of water are now in the bowl?
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[Assistant] 14

[User]
two numbers are in the ratio of 5 : 7. if 25 be subtracted from each, they are in the ratio of 35 : 59. find the numbers?
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[Assistant] 60,84


[User]
the number 189 is equal to the sum of the cubes of two integers. what is the product of those integers?
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[Assistant] 20

[User]
in the biology lab of ` ` jefferson ''high school there are 0.036 * 10 ^ 5 germs, equally divided among 36000 * 10 ^ ( - 3 ) petri dishes. how many germs live happily in a single dish?
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[Assistant] 100

[User]
in 120 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] 24 m

[User]
how many seconds will a 450 m long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr?
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[Assistant] 27

[User]
fox jeans regularly sell for $ 10 a pair and pony jeans regularly sell for $ 18 a pair. during a sale these regular unit prices are discounted at different rates so that a total of $ 9 is saved by purchasing 5 pairs of jeans : 3 pairs of fox jeans and 2 pairs of pony jeans. if the sum of the two discounts rates is 22 percent, what is the discount rate on pony jeans?
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[Assistant] 40 %


[User]
a taxi leaves point a 3 hours after a bus left the same spot. the bus is traveling 30 mph slower than the taxi. find the speed of the taxi, if it overtakes the bus in three hours.
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[Assistant] 60

[User]
a train 100 m long crosses a platform 250 m long in 7 sec ; find the speed of the train?
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[Assistant] 180 kmph

[User]
what is the greatest positive integer x such that 6 ^ x is a factor of 216 ^ 10?
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[Assistant] 30

[User]
the length of the bridge, which a train 100 metres long and travelling at 45 km / hr can cross in 30 seconds, is?
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[Assistant] 275 m

[User]
simple interest on a certain sum at a certain annual rate of interest is 1 / 4 of the sum. if the numbers representing rate percent and time in years be equal, then the rate of interest is :
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[Assistant] 5 %


[User]
ravish has to secure 40 % marks to clear his board exam of class 10 th. he got 40 marks and failed by 40 marks. what is the maximum marks?
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[Assistant] 200

[User]
there are 172 lights which are functional and each is controlled by a separate on / off switch. two children a and b start playing with the switches. a starts by pressing every third switch till he reaches the end. b, thereafter, presses every fifth switch till he too reaches the end. if all switches were in off position at the beggining, how many lights are switched on by the end of this operation?
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[Assistant] 79

[User]
car x began traveling at an average speed of 35 miles per hour. after 72 minutes, car y began traveling at an average speed of 41 miles per hour. when both cars had traveled the same distance, both cars stopped. how many miles did car x travel from the time car y began traveling until both cars stopped?
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[Assistant] 245

[User]
a man swims downstream 36 km and upstream 48 km taking 6 hours each time, what is the speed of the man in still water?
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[Assistant] 7

[User]
a certain manufacturer of cake, muffin, and bread mixes has 100 buyers, of whom 50 purchases cake mix, 40 purchase muffin mix, and 17 purchase both cake mix and muffin mix. if a buyer is to be selected at random from the 100 buyers, what is the probability that the buyer selected will be one who purchases neither cake mix nor muffin mix?
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[Assistant] 27 / 100


[User]
the original price of a suit is $ 150. the price increased 20 %, and after this increase, the store published a 20 % off coupon for a one - day sale. given that the consumers who used the coupon on sale day were getting 20 % off the increased price, how much did these consumers pay for the suit?
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[Assistant] $ 144

[User]
convert 350 inches into centimeter?
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[Assistant] 889 cm

[User]
the length of a rectangular floor is more than its breadth by 200 %. if rs. 624 is required to paint the floor at the rate of rs. 4 per sq m, then what would be the length of the floor?
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[Assistant] 21.6 m.

[User]
a is twice as fast as b. if b alone can do a piece of work in 10 days, in what time can a and b together complete the work?
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[Assistant] 10 / 3

[User]
two trains are moving in opposite directions at 60 km / hr and 90 km / hr. their lengths are 1.10 km and 0.4 km respectively. the time taken by the slower train to cross the faster train in seconds is?
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[Assistant] 36 sec


[User]
how much time does a train 225 metres long running at 90 km / hr take to pass a pole?
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[Assistant] 9 s

[User]
of the goose eggs laid at a certain pond, 1 / 3 hatched and 3 / 4 of the geese that hatched from those eggs survived the first month. of the geese that survived the first month, 3 / 5 did not survive the first year. if 120 geese survived the first year and if no more than one goose hatched from each egg, how many goose eggs were laid at the pond?
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[Assistant] 1200

[User]
the price of lunch for 20 people was $ 300 including a 20 % gratuity for service. what was the average price per person, excluding the gratuity?
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[Assistant] 12.5

[User]
the sector of a circle has radius of 14 cm and central angle 144 o. find its perimeter?
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[Assistant] 63.2 cm

[User]
a number is doubled and 4 is added. if the resultant is divided by 5, it becomes 25. what is that number?
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[Assistant] 60.5


[User]
chris mixed 4 pounds of raisins with 4 pounds of nuts. if a pound of nuts costs 3 times as much as a pound of raisins, then the total cost of the raisins was what fraction of the total cost of the mixture?
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[Assistant] 1 / 4

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

[User]
an amount of rs. 3120 was divided among a, b and c, in the ratio 1 / 2 : 1 / 3 : 1 / 4. find the share of c?
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[Assistant] 720

[User]
a certain company ’ s profit in 1996 was 10 percent greater than its profit in 1995, and its profit in 1997 was 20 percent greater than its profit in 1996. the company ’ s profit in 1997 was what percent greater than its profit in 1995?
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[Assistant] 32 %

[User]
if a * b * c = ( √ ( a + 2 ) ( b + 3 ) ) / ( c + 1 ), find the value of 6 * 15 * 11.
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[Assistant] 1


[User]
an amount of money is to be distributed among faruk, vasim and ranjith in the ratio 3 : 5 : 8. if vasims share is rs. 1500, what is the difference between faruk's and ranjith's shares?
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[Assistant] s 1500

[User]
in a caravan, in addition to 50 hens, there are 45 goats and 8 camels with some keepers. if the total number of feet be 224 more than the number of heads in the caravan, the number of keepers is
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[Assistant] 15

[User]
a 1500 m long train crosses a tree in 120 sec, how much time will it take to pass a platform 500 m long?
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[Assistant] 160

[User]
n is a positive integer. when n + 1 is divided by 6, the remainder is 4. what is the remainder when n is divided by 2?
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[Assistant] 1

[User]
a rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. find the area of the path and the cost of constructing it at rs. 2 per sq m?
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[Assistant] 1350


[User]
if 9 / ( 5 + 3 / x ) = 1, then x =
Answer the question using a single word or phrase.

[Assistant] 3 / 4

[User]
if price of t. v set is reduced by 25 %, then its sale increases by 75 %, find net effect on sale value
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[Assistant] 31

[User]
25, 50, 100, 175, 275, (.... )
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[Assistant] 400

[User]
15 men take 21 days of 8 hrs. each to do a piece of work. how many days of 9 hrs. each would it take for 21 women if 3 women do as much work as 2 men?
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[Assistant] 20

[User]
kathleen can paint a room in 3 hours, and anthony can paint an identical room in 4 hours. how many hours would it take kathleen and anthony to paint both rooms if they work together at their respective rates?
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[Assistant] 24 / 7


[User]
how many prime numbers are between 25 / 8 and 213 / 6?
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[Assistant] 9

[User]
on the number line, the number p is twice as many units from - 2 as - 2 is from 4. if p is less than – 2, what is the value of p?
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[Assistant] – 14

[User]
two vessels having volumes in the ratio 3 : 5 are filled with water and milk solutions. the ratio of milk and water in the two vessels are 1 : 2 and 3 : 1 respectively. if the contents of both the vessel are empties into a larger vessel, find the ratio of milk and water in the larger vessel.
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[Assistant] 19 : 13

[User]
a bus travels first half distance between two places with a speed of 40 kmph and the rest half distance with a speed of 60 kmph. the average speed of the bus is?
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[Assistant] 48 kmph

[User]
in a hostel there were 100 students. to accommodate 20 more students the average is decreased by rupees 5. but total expenditure increased by rs. 400. find the total expenditure of the hostel now?
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[Assistant] 5400


[User]
the ratio between the number of passengers travelling by i and ii class between the two railway stations is 1 : 50, whereas the ratio of i and ii class fares between the same stations is 3 : 1. if on a particular day rs. 1,325 were collected from the passengers travelling between these stations, then what was the amount collected from the ii class passengers?
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[Assistant] rs. 1250

[User]
a, b, c subscribe rs. 50,000 for a business. if a subscribes rs. 4000 more than b and b rs. 5000 more than c, out of a total profit of rs. 38,000, what will be the amount a receives?
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[Assistant] 15960

[User]
( ( - 1.9 ) ( 0.6 ) – ( 2.6 ) ( 1.2 ) ) / 4.0 =?
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[Assistant] - 1.065

[User]
if â € œ * â €  is called â € œ + â € , â € œ / â €  is called â € œ * â € , â € œ - â €  is called â € œ / â € , â € œ + â €  is called â € œ - â € . 120 / 40 â € “ 30 * 20 - 5 =?
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[Assistant] 163.6

[User]
the hypotenuse of a right triangle is 2 centimeters more than the longer side of the triangle. the shorter side of the triangle is 7 centimeters less than the longer side. find the length of the hypotenuse.
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[Assistant] 17


[User]
how long does a train 120 m long running at the speed of 70 km / hr takes to cross a bridge 145 m length?
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[Assistant] 13.9 sec

[User]
if n is a positive integer and the product of all integers from 1 to n, inclusive, is a multiple of 650, what is the least possible value of n?
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[Assistant] 13

[User]
a rectangular field is to be fenced on three sides leaving a side of 30 feet uncovered. if the area of the field is 600 sq. ft, how many feet of fencing will be required?
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[Assistant] 70 feet

[User]
two employees x and y are paid a total of rs. 560 per week by their employer. if x is paid 120 percent of the sum paid to y, how much is y paid per week?
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[Assistant] s. 254

[User]
calculate the sum of first 28 natural numbers.
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[Assistant] 406


[User]
the ratio by weight, measured in pounds, of books to clothes to electronics in a suitcase initially stands at 7 : 4 : 3. someone removes 6 pounds of clothing from the suitcase, thereby doubling the ratio of books to clothes. how many pounds do the electronics in the suitcase weigh?
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[Assistant] 9

[User]
a bag consists of 50 marbles, of which 5 are blue, 9 are red, and the remainder are white. if lisa is to select a marble from the bag at random, what is the probability that the marble will be red or white?
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[Assistant] 9 / 10

[User]
how many integers between 100 and 200, inclusive, can not be evenly divided by 3 nor 5?
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[Assistant] 54

[User]
for the positive integers x, x + 2, x + 4, x + 7, and x + 22, the mean is how much greater than the median?
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[Assistant] 3

[User]
pavan travelled for 11 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] 300 km


[User]
3 / 4 of 1 / 2 of 2 / 5 of 5100 =?
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[Assistant] 765

[User]
in order to obtain an income of rs. 900 from 20 % stock at rs. 102, one must make an investment of
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[Assistant] rs. 4590

[User]
what is the value of ( p + q ) / ( p - q ) if p / q is 10?
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[Assistant] 11 / 9

[User]
if the price of a certain bond on may 1 st was 1 / 2 the price of the bond on june 1 st and the price of the bond on july 1 st was 50 % greater than the price of the bond on may 1 st. then the price of the bond on june 1 st st was what percent of the average ( arithmetic mean ) price of the bond on may 1 st and july 1 st?
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[Assistant] 160 %

[User]
an investment compounds annually at an interest rate of 33.34 % what is the smallest investment period by which time the investment will more than triple in value?
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[Assistant] 4


[User]
a no. when divided by 220 gives a remainder 43, what remainder will beobtained by dividingthe same no. 67?
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[Assistant] 9

[User]
a and b ’ s salaries together amount to rs. 3,000. a spends 95 % of his salary and b spends 85 % of his. if now their savings are the same, what is b ’ s salary?
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[Assistant] 750

[User]
ritesh and co. generated revenue of rs. 1,700 in 2006. this was 12.5 % of its gross revenue. in 2007, the gross revenue grew by rs. 2,500. what is the percentage increase in the revenue in 2007?
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[Assistant] 18.38 %

[User]
find the principle on a certain sum of money at 5 % per annum for 2 2 / 5 years if the amount being rs. 1120?
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[Assistant] 1000

[User]
the radius of a cylindrical vessel is 7 cm and height is 5 cm. find the whole surface of the cylinder?
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[Assistant] 528


[User]
a man took a loan at rate of 12 % per annum simple interest. after 3 years he had to pay 5400 interest. the principal amount borrowed by him was.
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[Assistant] rs 15000

[User]
in a village there are 150 men and 90 women in present time. if in next year population will be p = ( a ^ 2 + b ^ 2 ) ^ 1 / 2, and in every year men are reduces 12 %. what is population of after 2 year.
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[Assistant] 139

[User]
evaluate : 58 - 12 * 3 * 2 =?
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[Assistant] 50

[User]
jenny has recently moved house and is working out her optimal commute. she can take an indirect route which involves taking a bus for 1 mile and then walk 0.75 miles. or she can take a direct route and walk for 1.5 miles and this takes her 30 minutes. what is the most amount time that the bus journey can take for jenny to be indifferent between the two routes assuming travel time is her only concern?
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[Assistant] 15 minutes

[User]
seller selling an apple for rs. 15, a seller loses 1 / 6 th of what it costs him. the cp of the apple is?
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[Assistant] 16


[User]
the area of a square field is 28808 sq m. how long will a lady take to cross the field diagonally at the rate of 7.2 km / hr?
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[Assistant] 2 min

[User]
if a town of 35,000 people is growing at a rate of approx. 1 % per year, the population of the town in 5 years will be closest to?
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[Assistant] a. 36000

[User]
there are 12 slate rocks, 17 pumice rocks, and 8 granite rocks randomly distributed in a certain field. if 2 rocks are chosen at random and without replacement, what is the probability that both rocks will be slate rocks?
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[Assistant] 11 / 111

[User]
one day a car rental agency rented 3 / 4 of its cars, including 5 / 6 of its cars with cd players. if 3 / 5 of its cars have cd players, what percent of the cars that were not rented had cd players?
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[Assistant] 2 / 5

[User]
how many words, with or without meaning, can be formed using all letters of the word red using each letter exactly once?
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[Assistant] 6


[User]
of the 65 cars on a car lot, 30 have air - conditioning, 45 have air bag, and 12 have both air - conditioning and air bag. how many of the cars on the lot have neither air - conditioning nor air bag?
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[Assistant] 10

[User]
a and b can do a piece of work in 2 days. with the help of c they finish the work in 1 days. c alone can do that piece of work in?
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[Assistant] 2 days

[User]
four machines, each working at the same constant rate, together can complete a certain job in 20 days. how many additional machines, each working at the same constant rate, will be needed to complete the job in 10 days?
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[Assistant] 4

[User]
a car gets 32 miles to the gallon. if it is modified to use a solar panel, it will use only 80 percent as much fuel as it does now. if the fuel tank holds 12 gallons, how many more miles will the car be able to travel, per full tank of fuel, after it has been modified?
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[Assistant] 96

[User]
john bought 9.25 m of cloth for $ 434.75. find the cost price per metre.
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[Assistant] 47


[User]
the average of 60 results is 40 and the average of other 40 results is 60. what is the average of all the results?
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[Assistant] 48

[User]
3, 7,12, 18,25,.............. 6 th terms
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[Assistant] 33

[User]
a person was asked to state his age in years. his reply was, ` ` take my age 3 years hence, multiply it by 4 and subtract 4 times my age 3 years ago and you will know how old i am. ''what was the age of the person?
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[Assistant] 24

[User]
there are cats got together and decided to kill the mice of 999984. each cat kills equal number of mice and each cat kills more number of mice than cats there were. then what are the number of cats?
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[Assistant] 996,1004

[User]
100 kg of an alloy a is mixed with 200 kg of alloy b. if alloy a has lead and tin in the ratio 5 : 3 and alloy b has tin and copper in the ratio 2 : 3, then the amount of tin in the new alloy is?
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[Assistant] 117.5 kg


[User]
a certain automobile company ’ s best - selling model is the speedster. the speedster, like all of their other models, comes in coupe and convertible styles. 1 / 3 of the current inventory is speedsters, of which 4 / 5 are convertibles. if there are 30 vehicles that are not speedsters, how many speedster convertibles are there?
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[Assistant] 12

[User]
a group of 55 adults and 70 children go for trekking. if there is meal for either 70 adults or 90 children and if 35 adults have their meal, find the total number of children that can be catered with the remaining food.
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[Assistant] 45

[User]
the monthly rent of a shop of dimension 10 feet × 10 feet is rs. 1300. what is the annual rent per square foot of the shop?
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[Assistant] 156

[User]
a candidate got 35 % of the votes polled and he lost to his rival by 2280 votes. how many votes were cast?
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[Assistant] 7600

[User]
it takes 3 workers a total of 9 hours to build a giant machine with each worker working at the same rate. if 3 workers start to build the machine at 11 : 00 am, and one extra worker per hour is added beginning at 2 : 00 pm, at what time will the machine be complete?
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[Assistant] 5 : 26


[User]
a and b start walking towards each other at 1 pm at speed of 5 kmph and 7 kmph. they were initially 24 km apart. at what time do they meet?
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[Assistant] 3 pm

[User]
a train running at the speed of 60 km / hr crosses a pole in 27 seconds. what is the length of the train?
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[Assistant] 450 m

[User]
fresh grapes contain 75 % by weight while dried grapes contain 25 % water by weight. what is the weight of dry grapes available from 200 kg of fresh grapes?
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[Assistant] 66.67 kg

[User]
the ratio of the volumes of two cubes is 1000 : 3375. what is the ratio of their total surface areas?
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[Assistant] 4 : 9

[User]
a man goes into a barbershop and gets a $ 15 haircut. he pays the barber with a $ 20 bill, but the barber does n't have change because it is an especially slow day. the barber goes to the flower shop next to his own and trades the $ 20 bill for a $ 10 dollar bill and two $ 5 bills. then he gives the man his $ 5 in change. later the lady from the flower shop confronts the barber and tells him that the $ 20 bill he gave her was counterfeit. the barber agrees and he gives the lady a different $ 20 bill. later that day he tries to figure out how much money he lost. what did he lose?
Answer the question using a single word or phrase.

[Assistant] $ 5


[User]
if the cost price of 72 articles is equal to the selling price of 60 articles, then what is the percent profit?
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[Assistant] 20 %

[User]
of all the homes on gotham street, 1 / 3 are termite - ridden, and 5 / 8 of these are collapsing. what fraction of the homes are termite - ridden, but not collapsing?
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[Assistant] 1 / 8

[User]
what will be the compound interest on a sum of rs. 22,000 after 3 years at the rate of 12 % p. a.?
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[Assistant] rs. 8908.42

[User]
of the votes cast on a certain proposal, 68 more were in favor of the proposal than were against it. if the number of votes against the proposal was 40 percent of the total vote, what was the total number of votes cast? ( each vote cast was either in favor of the proposal or against it. )
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[Assistant] 340

[User]
a certain electric - company plan offers customers reduced rates for electricity used between 8 p. m. and 8 a. m. weekdays and 24 hours a day saturdays and sundays. under this plan, the reduced rates x apply to what fraction of a week?
Answer the question using a single word or phrase.

[Assistant] 9 / 14


[User]
in traveling from a dormitory to a certain city, a student went 1 / 5 of the way by foot, 2 / 3 of the way by bus, and the remaining 4 kilometers by car. what is the distance, in kilometers, from the dormitory to the city?
Answer the question using a single word or phrase.

[Assistant] 30

[User]
a tree of height 36 m is on one edge of a road broke at a certain height. it fell in such a way that the top of the tree touches the other edge of the road. if the breadth of the road is 12 m, then what is the height at which the tree broke?
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[Assistant] 16

[User]
if y is the smallest positive integer such that 3,675 multiplied by y is the square of an integer, then y must be
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[Assistant] 12

[User]
if a person walks at 16 km / hr instead of 12 km / hr, he would have walked 20 km more. the actual distance traveled by him is?
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[Assistant] 60

[User]
a man is 29 years older than his son. in two years, his age will be twice the age of his son. the present age of his son is :
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[Assistant] 27 years


[User]
the average of 25 results is 18. the average of first 12 of them is 10 and that of last 12 is 20. find the 13 th result?
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[Assistant] 90

[User]
a contractor is engaged for 30 days on the condition thathe receives rs. 25 for each day he works & is fined rs. 7.50 for each day is absent. he gets rs. 685 in all. for how many days was he absent?
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[Assistant] 2

[User]
a box measuring 72 inches long by 48 inches wide by 24 inches deep is to be filled entirely with identical cubes. no space is to be left unfilled. what is the smallest number of cubes that can accomplish this objective?
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[Assistant] 162

[User]
80 370 860 1550 2440?
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[Assistant] 3530

[User]
if the cost price of 12 articles is same as the selling price of 25 articles. find the gain or loss percentage?
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[Assistant] 52 % loss


[User]
the cost of an article is decreased by 50 %. if the original cost is $ 200, find the decrease cost.
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[Assistant] 100

[User]
what is the 16 th digit to the right of the decimal point in the decimal expansion of 1 / 37?
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[Assistant] 0

[User]
of the 3 - digit integers greater than 700, how many have two digits t that are equal to each other and the remaining digit different from the other two?
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[Assistant] 80

[User]
the ages of two person differ by 20 years. if 5 years ago, the elder one be 5 times as old as the younger one, their present ages ( in years ) are respectively
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[Assistant] 30, 10

[User]
what profit percent is made by selling an article at a certain price, if by selling at 2 / 3 rd of that price, there would be a loss of 10 %?
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[Assistant] 35 %


[User]
out of 40 applicants to a law school, 15 majored in political science, 20 had a grade point average higher than 3.0, and 10 did not major in political science and had a gpa equal to or lower than 3.0. how many w applicants majored in political science and had a gpa higher than 3.0?
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[Assistant] 5

[User]
the average weight of 10 men is increased by 1 ½ kg when one of the men who weighs 58 kg is replaced by a new man. what is the weight of the new man?
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[Assistant] 73 kg

[User]
the price of a car and ac are in the ratio 3 : 2. if the scooter costs $ 500 more than the ac. then the price of the ac?
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[Assistant] 1500

[User]
a shopkeeper sold an article offering a discount of 4 % and earned a profit of 44 %. what would have been the percentage of profit earned if no discount was offered?
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[Assistant] 50

[User]
the cost per pound of green tea and coffee were the same in june. in july, the price of coffee shot up by 100 % and that of green tea dropped by 70 %. if in july, a mixture containing equal quantities of green tea and coffee costs $ 3.45 for 3 lbs, how much did a pound of green tea cost in july?
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[Assistant] $ 0.3


[User]
the average weight of 10 oarsmen in a boat is increased by 1.8 kg when one of the crew, who weighs 53 kg is replaced by a new man. find the weight of the new man.
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[Assistant] 71

[User]
bill made a profit of 10 % by selling a product. if he had purchased that product for 10 % less and sold it at a profit of 30 %, he would have received $ 49 more. what was his original selling price?
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[Assistant] $ 770

[User]
on a sum of money, the s. i. for 2 years is $ 600, while the c. i. is $ 612, the rate of interest being the same in both the cases. the rate of interest is?
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[Assistant] 4 %

[User]
3 numbers which are co - prime to each other are such that the product of the first two is 551 and that of the last two is 1073. the sum of the 3 numbers is :
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[Assistant] 85

[User]
two trains, each 100 m long, moving in opposite directions, cross other in 8 sec. if one is moving twice as fast the other, then the speed of the faster train is?
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[Assistant] 60 km / hr


[User]
n is a whole number which when divided by 4 gives 3 as remainder. what will be the remainder when 2 n is divided by 4?
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[Assistant] 2

[User]
a sports retailer ordered white and yellow tennis balls in equal number but the dispatch clerk of the tennis ball company erred and dispatched 70 extra yellow balls and making ratio of white balls to yellow balls 8 / 13. how many tennis balls did the retailer order originally.
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[Assistant] 224

[User]
80 x 100 + 80 x 11 =?
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[Assistant] 8880

[User]
find the number of shares that can be bought for rs. 8200 if the market value is rs. 20 each with brokerage being 3.2 %.
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[Assistant] 397.2

[User]
the diagonals of a rhombus are 13 cm and 20 cm. find its area?
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[Assistant] 130


[User]
aarti can do a piece of work in 5 days. in how many days will she complete three time of work of same type?
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[Assistant] 15 days

[User]
in a bus left side are 15 seats available, 3 few seats in right side because in rear exit door. each seat hold 3 people. in addition, there is a seat back can sit 11 people all together. how many people can sit in a bus?
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[Assistant] 92

[User]
in a 300 member association consisting of men and women, exactly 20 % of men and exactly 25 % women are homeowners. what is the least number of members who are homeowners?
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[Assistant] 61

[User]
two cars, one from austin to dallas and the other from dallas to austin, start simultaneously. after they meet, the cars reach their destinations after 4 hours and 9 hours respectively the ratio of their speeds is
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[Assistant] 2 : 3

[User]
chlorination is used in industry for the purification of water ; 1 gm solution of chlorine will remove half of the germs in 1 liter of water. if water containing less than 0.09 % of germs is considered clean, what is the minimum amount of chlorine required to purify 150 liter of water containing 0.3 liter of harmful substances?
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[Assistant] 2


[User]
a train 175 m long passes a man, running at 5 km / hr in the same direction in which the train is going, in 10 seconds. the speed of the train is :
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[Assistant] 68

[User]
on a purchase of $ 127, a store offered a payment plan consisting of a $ 27 down payment and 12 monthly payments of $ 10 each. what percent of the purchase price, to the nearest tenth of a percent, did the customer pay in interest by using this plan?
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[Assistant] 21.3 %

[User]
50 men do a work in 100 days. how many men are needed to finish the work in 20 days?
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[Assistant] 250

[User]
what is the rate percent when the simple interest on rs. 900 amount to rs. 160 in 4 years?
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[Assistant] 4.44

[User]
a car takes 6 hours to cover a distance of 432 km. how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time?
Answer the question using a single word or phrase.

[Assistant] 48 kmph


[User]
in a recent election, james received 5 percent of the 2,000 votes cast. to win the election, a candidate needed to receive more than 50 percent of the vote. how many additional votes would james have needed to win the election?
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[Assistant] 901

[User]
the scoring system in a certain football competition goes as follows : 3 points for victory, 1 point for a draw, and 0 points for defeat. each team plays 20 matches. if a team scored 14 points after 5 games, what is the least number of the remaining matches it has to win to reach the 40 - point mark by the end of the tournament?
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[Assistant] 6

[User]
find large number from below question the difference of two numbers is 1390. on dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
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[Assistant] 1665

[User]
for the past n days, the average ( arithmetic mean ) daily production at a company was 50 units. if today's production of 105 units raises the average to 55 units per day, what is the value of n?
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[Assistant] 10

[User]
a company sells pens and pencils. the revenue from pens in 2007 was up 5 % from 2006. the revenue from pencils declined 13 % over the same period. overall revenue was down 1 % from 06 to 07. what was the ratio of pencil revenue to pen revenue in 2006
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[Assistant] 1 / 2


[User]
a family made a down payment of $ 300 and borrowed the balance on a set of encyclopedias that cost $ 750. the balance with interest was paid in 9 monthly payments of $ 57 each and a final payment of $ 21. the amount of interest paid was what percent of the amount borrowed?
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[Assistant] 18.66 %

[User]
there are 10 teams in a certain league and each team plays each of the other teams exactly once. what is the total number of games played?
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[Assistant] 45

[User]
what two - digit number is less than the sum of the square of its digits by 12 and exceeds their doubled product by 5?
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[Assistant] 99

[User]
if x is to be chosen at random from the integers between 1 to 5, inclusive, and y is to be chosen at random from the integers between 7 and 10, inclusive, what is the probability that x + y will be even?
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[Assistant] 1 / 2

[User]
if x ^ 2 + ( 1 / x ^ 2 ) = 8, x ^ 4 + ( 1 / x ^ 4 ) =?
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[Assistant] 62


[User]
how much is 60 % of 40 is greater than 4 / 5 of 25?
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[Assistant] 4

[User]
if x and y are integers, what is the least positive number of 24 x + 18 y?
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[Assistant] 6

[User]
the jogging track in a sports complex is 726 m in circumference. suresh and his wife start from the same point and walk in opposite direction at 4.5 km / hr and 3.75 km / hr respectively. they will meet for the first time in?
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[Assistant] 5.28 minutes

[User]
a boatman goes 3 km against the current of the stream in 3 hour and goes 1 km along the current in 30 minutes. how long will it take to go 3 km in stationary water?
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[Assistant] 2 hours

[User]
the average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 24 years. find the average age of the women?
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[Assistant] 30


[User]
how many paying stones, each measuring 2 1 / 2 m * 2 m are required to pave a rectangular court yard 20 m long and 16 1 / 2 m board?
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[Assistant] 66

[User]
a corporation paid $ 5 million in federal taxes on its first $ 50 million of gross profits and then $ 30 million in federal taxes on the next $ 150 million in gross profits. by approximately what percent did the ratio of federal taxes to gross profits increase from the first $ 50 million in profits to the next $ 150 million in profits?
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[Assistant] 140 %

[User]
a textile manufacturing firm employees 70 looms. it makes fabrics for a branded company. the aggregate sales value of the output of the 70 looms is rs 5, 00,000 and the monthly manufacturing expenses is rs 1, 50,000. assume that each loom contributes equally to the sales and manufacturing expenses are evenly spread over the number of looms. monthly establishment charges are rs 75000. if one loom breaks down and remains idle for one month, the decrease in profit is :
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[Assistant] 5000

[User]
there are 5 thieves, each loot a bakery one after the other such that the first one takes 1 / 2 of the total no. of the breads plus 1 / 2 of a bread. similarly 2 nd, 3 rd, 4 th and 5 fth also did the same. after the fifth one no. of breads remained are 3. initially how many breads were there?
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[Assistant] 127

[User]
if 8 women can color 400 m long cloth in 5 days, then 10 women can color 500 m long cloth in?
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[Assistant] 5 days


[User]
average of 6 numbers comes out to be 3.95. average of two of the numbers is 3.4 while the average of other two is 3.85. determine the average of the two numbers left.
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[Assistant] 4.6

[User]
the average weight of 8 person's increases by 4 kg when a new person comes in place of one of them weighing 55 kg. what might be the weight of the new person?
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[Assistant] 87 kg

[User]
a 900 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. what is the length of the platform?
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[Assistant] 1050

[User]
reeya obtained 55, 67, 76, 82 and 55 out of 100 in different subjects, what will be the average
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[Assistant] 67

[User]
at the end of the first quarter, the share price of a certain mutual fund was 20 percent higher than it was at the beginning of the year. at the end of the second quarter, the share price was 60 percent higher than it was at the beginning of the year. what was the percent increase in the share price from the end of the first quarter to the end of the second quarter?
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[Assistant] 33.33 %


[User]
the class mean score on a test was 50, and the standard deviation was 15. if jack's score was within 2 standard deviations of the mean, what is the lowest score he could have received?
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[Assistant] 20

[User]
a man traveled a total distance of 1800 km. he traveled one - third of the whole trip by plane and the distance traveled by train is two - thirds of the distance traveled by bus. if he traveled by train, plane and bus, how many kilometers did he travel by bus?
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[Assistant] 720

[User]
a, b and c enter into a partnership. a invests 3 times as much as b invests and 2 / 3 of what c invests. at the end of the year, the profit earned is rs. 55000. what is the share of c?
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[Assistant] rs. 15000

[User]
the average runs of a cricket player of 5 innings was 20. how many runs must he make in his next innings so as to increase his average of runs by 3?
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[Assistant] 44

[User]
the sum of three consecutive even numbers is 20 more than the first of these numbers. what is the middle number?
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[Assistant] 9


[User]
a certain sum is invested at simple interest at 18 % p. a. for two years instead of investing at 12 % p. a. for the same time period. therefore the interest received is more by rs. 600. find the sum?
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[Assistant] 5000

[User]
there are 100 freshmen at a particular college, all of whom must take at least one of the 3 core classes : art, biology, and calculus. of these freshmen, 17 take only biology, 10 take only calculus, 9 take all 3 classes, and 20 take art and exactly one of the other two core classes. if the number of freshmen who take only art is 3 times the number of freshmen who take every core class except art, how many freshmen take art?
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[Assistant] 62

[User]
in how many ways can an answer key for a quiz be written if the quiz contains 4 true - false questions followed by 3 multiple - choice questions with 4 answer choices each, if the correct answers to all true - false questions can not be the same?
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[Assistant] 896

[User]
a goods train runs at the speed of 72 km / hr and crosses a 250 m long platform in 26 sec. what is the length of the goods train?
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[Assistant] 270

[User]
when 52416 is divided by 312, the quotient is 168. what will be the quotient when 52.416 is divided by 0.0168?
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[Assistant] 6


[User]
a goods train runs at the speed of 72 km / hr and crosses a 150 m long platform in 26 sec. what is the length of the goods train?
Answer the question using a single word or phrase.

[Assistant] 370

[User]
if w is the set of all the integers between 49 and 76, inclusive, that are either multiples of 3 or multiples of 2 or multiples of both, then w contains how many numbers?
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[Assistant] 19

[User]
the ratio between the sale price and the cost price of an article is 10 : 7. what is the ratio between the profit and the cost price of that article?
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[Assistant] 3 : 7

[User]
two cyclist start on a circular track from a given point but in opposite direction with speeds of 7 m / s and 8 m / s. if the circumference of the circle is 300 meters, after what time will they meet at the starting point?
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[Assistant] 20 sec

[User]
what annual installment will discharge a debt of rs. 1344 due in 3 years at 12 % simple interest?
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[Assistant] 400


[User]
city x has a population 5 times as great as the population of city y, which has a population twice as great as the population of city z. what is the ratio of the population of city x to the population of city z?
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[Assistant] 10 : 1

[User]
a working mom wakes up every day at 7 am and goes to sleep at 11 pm. she works 8 hours a day. spends 2 hours working out at the gym. she spends 1.5 hours cooking dinner and doing dishes. she spends. 5 of an hour giving her daughter a bath. she spends 1 hour helping with homework and getting her daughter ready for bed. she spends another. 5 of an hour packing lunches for the family for the next day. she spends. 5 of an hour cleaning the house and 2 hours taking a shower and reading or watching t. v. before she goes to sleep. what percent of her day does she spend at work?
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[Assistant] 50

[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 1400 employees, then the no. of female employees who are computer literate?
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[Assistant] 588

[User]
sales price is $ 81, gross profit is 170 % of cost, what is the value of gross profit?
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[Assistant] 51

[User]
if the product of two numbers is 17820 and their h. c. f. is 12, find their l. c. m.
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[Assistant] 1485


[User]
for any integer k > 1, the term “ length of an integer ” refers to the number of positive prime factors, not necessarily distinct, whose product is equal to k. for example, if k = 24, the length of k is equal to 4, since 24 = 2 × 2 × 2 × 3. if x and y are positive integers such that x > 1, y > 1, and x + 3 y < 940, what is the maximum possible sum of the length of x and the length of y?
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[Assistant] 16

[User]
how many 7 in between 1 to 100?
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[Assistant] 20

[User]
the perimeter of a semi circle is 162 cm then the radius is?
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[Assistant] 31.5

[User]
together, 15 type a machines and 7 type b machines can complete a certain job in 4 hours. together 8 type b machines and 15 type c machines can complete the same job in 11 hours. how many hours r would it take one type a machine, one type b machine, and one type c machine working together to complete the job ( assuming constant rates for each machine )?
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[Assistant] 44 hours

[User]
the cricket team of 11 members is 28 yrs old & the wicket keeper is 3 yrs older. if the ages ofthese 2 are excluded, the average age of theremaining players is 1 year less than the average age of the whole team. what is the average age of the team?
Answer the question using a single word or phrase.

[Assistant] 25


[User]
a, b and c are partners. a receives 2 / 3 of profits, b and c dividing the remainder equally. a's income is increased by rs. 400 when the rate to profit rises from 5 to 7 percent. find the capital of b?
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[Assistant] 5000

[User]
a reduction of 30 % in the price of apples would enable a man to obtain 54 more for rs. 30, what is reduced price per dozen?
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[Assistant] 2

[User]
a certain psychologist charges $ 35 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 $ 350, what is the total charge to a patient who receives only 2 hours of therapy?
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[Assistant] $ 161

[User]
the average length of 6 ropes is 80 cm. if the average length of one third of the ropes measure to 70 cm, what is the average of the other ropes?
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[Assistant] 85.

[User]
x and y are two towns. ganesh covers the distance from x to y at an average speed of 44 km / hr. however, he covers the distance from y to x at an average speed of 36 km / hr. his average speed during the whole journey in km / hr. is :
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[Assistant] 39.6


[User]
if the cost price is 95 % of selling price then what is the profit percentage.
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[Assistant] 5.26

[User]
one fourth of a solution that was 10 % sugar by weight was replaced by a second solution resulting in a solution that was 20 percent sugar by weight. the second solution was what percent sugar by weight?
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[Assistant] 50 %

[User]
a circular logo is enlarged to fit the lid of a jar. the new diameter is 20 per cent larger than the original. by what percentage has the area of the logo increased?
Answer the question using a single word or phrase.

[Assistant] 44

[User]
what is the perimeter of a square field whose diagonal is 8 √ 2?
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[Assistant] 32 m

[User]
in a division sum, the quotient is 120, the divisor 456 and the remainder 333, find the dividend?
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[Assistant] 55053


[User]
what is the remainder when ( 71 ) ( 73 ) is divided by 9?
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[Assistant] 8

[User]
what is the probability that a number selected from number 1 to 30 is prime number, when each of the given numbers is equally likely to be selected?
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[Assistant] 10 / 30

[User]
a grocer purchased a quantity of bananas at 3 pounds for $ 0.50 and sold the entire quantity at 4 pounds for $ 1.00. how many pounds did the grocer purchase if the profit from selling the bananas was $ 8.00?
Answer the question using a single word or phrase.

[Assistant] 96

[User]
the volume of a certain substance is always directly proportional to its weight. if 48 cubic inches of the substance weigh 112 ounces, what is the volume, in cubic inches, of 53 ounces of this substance?
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[Assistant] 22

[User]
two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively. if they cross each other in 22 seconds, what is the ratio of their speeds?
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[Assistant] 1 : 1


[User]
roses can be purchased individually for $ 5.30, one dozen for $ 36, or two dozen for $ 50. what is the greatest number of roses that can be purchased for $ 680?
Answer the question using a single word or phrase.

[Assistant] 317

[User]
the salaries of a and b together is rs. 14000. a spend 80 % of his salary and b spends 85 % of his salary. what is the salary of b if their savings are equal?
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[Assistant] rs. 8000

[User]
how many of the positive divisors q of 120 are also multiples of 4 not including 120?
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[Assistant] 7.

[User]
how many integers between 323,700 and 458,600 have tens digit 1 and units digit 3?
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[Assistant] 1,349

[User]
two equally sized jugs full of water are each emptied into two separate unequally sized empty jugs, x and y. now, jug x is 1 / 6 full, while jug y is 2 / 3 full. if water is poured from jug x into jug y until jug y is filled, what fraction of jug x then contains water?
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[Assistant] 1 / 12


[User]
11 + 12 + 13 +... 51 + 52 + 53 =?
Answer the question using a single word or phrase.

[Assistant] 1376

[User]
a man buys 52 pens at marked price of 46 pens from a whole seller. if he sells these pens giving a discount of 1 %, what is the profit percent?
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[Assistant] 11.91 %

[User]
express 50 mps in kmph?
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[Assistant] 180

[User]
the total price of a kilogram each of shimla apples and red delicious apples is 250 rupees more than the total price of a kilogram each of red delicious apples and fuji apples. fuji apples is how much cheaper than shimla apples?
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[Assistant] 250

[User]
how long does a train 110 m long running at the speed of 72 km / hr takes to cross a bridge 138 m length?
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[Assistant] 12.4 sec


[User]
what is the 25 th digit to the right of the decimal point in the decimal form of 6 / 11?
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[Assistant] 5

[User]
a sum of money lent out at s. i. amounts to a total of $ 590 after 2 years and to $ 815 after a further period of 5 years. what was the initial sum of money that was invested?
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[Assistant] $ 500

[User]
if 5 < x < 9 and y = x + 7, what is the greatest possible integer value of x + y?
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[Assistant] 24

[User]
there are 8 students. 4 of them are men and 4 of them are women. if 4 students are selected from the 8 students. what is the probability that the number of men is equal to that of women?
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[Assistant] 18 / 35

[User]
how many seconds will a train 200 meters long running at the rate of 36 kmph take to pass a certain telegraph post?
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[Assistant] 20 sec


[User]
a circular logo is enlarged to fit the lid of a jar. the new diameter is 40 per cent larger than the original. by what percentage has the area of the logo increased?
Answer the question using a single word or phrase.

[Assistant] 96

[User]
a, b and c enter into a partnership by investing $ 11000, $ 15000 and $ 23000 respectively. at the end of 8 months, b receives $ 3315 as his share. find the share of a.
Answer the question using a single word or phrase.

[Assistant] $ 2431

[User]
a reduction of 35 % in the price of oil enables a house wife to obtain 5 kgs more for rs. 800, what is the reduced price for kg?
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[Assistant] 56

[User]
water consists of hydrogen and oxygen, and the approximate ratio, by mass, of hydrogen to oxygen is 2 : 16. approximately how many grams of oxygen are there in 90 grams of water?
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[Assistant] 90

[User]
suppose 3 monkeys take 3 minutes to eat 3 bananas. how many monkeys would it take to eat 6 bananas in 6 minutes?
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[Assistant] 3


[User]
a dessert recipe calls for 50 % melted chocolate and 50 % raspberry puree to make a particular sauce. a chef accidentally makes 15 cups of the sauce with 40 % melted chocolate and 60 % raspberry puree instead. how many cups of the sauce does he need to remove and replace with pure melted chocolate to make the sauce the proper 50 % of each?
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[Assistant] 2.5

[User]
if x and y are both odd prime numbers andx < y, then how many different positive integer factors does 2 xyhave?
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[Assistant] 8

[User]
1, 6, 24, 60, 120, 210, ___?
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[Assistant] 336

[User]
there are 30 students in a classroom. the ratio of the # of girls to boys was 1 : 2, how many boys are there?
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[Assistant] 20

[User]
99! how many zero's?
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[Assistant] 22


[User]
in a kilometer race, a beats b by 40 meters or 8 seconds. what time does a take to complete the race?
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[Assistant] 192

[User]
the volume of a sphere with radius r is ( 4 / 3 ) * pi * r ^ 3 and the surface area is 4 * pi * r ^ 3. if a sperical balloon has a volume of 4500 pi cubic centimeters, what is hte surface area of the balloon in square centimeters?
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[Assistant] e. 2,000

[User]
in what time will a train 300 m long cross an electric pole, it its speed be 144 km / hr?
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[Assistant] 7.5 sec

[User]
anand and deepak started a business investing rs. 2250 and rs. 3200 respectively. out of a total profit of rs. 1380, deepak's share is :
Answer the question using a single word or phrase.

[Assistant] 810.27

[User]
the parameter of a square is equal to the perimeter of a rectangle of length 18 cm and breadth 14 cm. find the circumference of a semicircle whose diameter is equal to the side of the square. ( round off your answer to two decimal places )
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[Assistant] 25.14 cm


[User]
find the probability that a leap year selected at random will not have 53 sundays
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[Assistant] 5 / 7

[User]
a can do a piece of work in 3 hours ; b and c together can do it in 3 hours, while a and c together can do it in 2 hours. how long will b alone take to do it?
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[Assistant] 6

[User]
in a 200 m race, if a gives b a start of 25 metres, then a wins the race by 10 seconds. alternatively, if a gives b a start of 45 metres the race ends in a dead heat. how long does a take to run 200 m?
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[Assistant] 77.5 seconds

[User]
if a farmer wants to plough a farm field on time, he must plough 340 hectares a day. for technical reasons he ploughed only 85 hectares a day, hence he had to plough 2 more days than he planned and he still has 40 hectares left. what is the area of the farm field and how many days the farmer planned to work initially?
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[Assistant] 280

[User]
p is 60 % more efficient than q. p can complete a work in 26 days. if p and q work together, how many days will it take to complete the same work?
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[Assistant] 16


[User]
if the cost price is 92 % of sp then what is the profit %
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[Assistant] 8.70 %

[User]
a sum was put a simple interest at a certain rate for 7 years. had it been put at 2 % higher rate, it would have fetched rs. 350 more. the sum is :
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[Assistant] s. 500

[User]
the size of a flat - screen television is given as the length of the screen ’ s diagonal. how many square inches greater is the screen of a square 34 - inch flat - screen television than a square 27 - inch flat - screen television?
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[Assistant] 427

[User]
â ˆ š 1.5625 =?
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[Assistant] 1.25

[User]
the tax on a commodity is diminished by 20 % but its consumption is increased by 20 %. find the decrease percent in the revenue derived from it?
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[Assistant] 4 %


[User]
by selling 150 apples, a fruit - seller gains the selling price of 30 apples. find the gain percent?
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[Assistant] 25 %

[User]
a certain number of horses and an equal number of men are going somewhere. half of the owners are on their horses'back while the remaining ones are walking along leading their horses. if the number of legs walking on the ground is 70, how many horses are there?
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[Assistant] 14

[User]
617 x 617 + 583 x 583 =?
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[Assistant] 720578

[User]
what positive number, when squared, is equal to the cube of the positive square root of 15?
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[Assistant] 6

[User]
a cube with its sides numbered 1 through 6 is rolled twice, first landing on a and then landing on b. if any roll of the cube yields an equal chance of landing on any of the numbers 1 through 6, what is the probability t that a + b is prime?
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[Assistant] 5 / 12


[User]
a man invested rs. 14400 in rs. 100 shares of a company at 20 % premium. if the company declares 7 % dividend at the end of the year, then how much does he get?
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[Assistant] rs. 840

[User]
a boy standing idle sounds a whistle to his friend at a distance of 1200 m moving away from him in a speeding car at 108 kms / hr. find the duration after which his friend is going to hear him. ( speed of sound = 330 m / sec ).
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[Assistant] 4.00 secs

[User]
if'a'and'b'are non - zero numbers such that their sum is 6 times the product, what is the value of 1 / a + 1 / b?
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[Assistant] 6

[User]
two integers are in the ratio of 1 to 4. if 12 is added to the smaller number, the ratio becomes 1 to 2. find the larger integer.
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[Assistant] 48

[User]
if the annual increase in the population of a town is 10 % and the present number of people is 11000, what will the population be in 2 years?
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[Assistant] 13310


[User]
shannon and maxine work in the same building and leave work at the same time. shannon lives due north of work and maxine lives due south. the distance between maxine's house and shannon's house is 60 miles. if they both drive home at the rate 2 r miles per hour, maxine arrives home 30 minutes after shannon. if maxine rider her bike home at the rate of r per hour and shannon still drives at a rate of 2 r miles per hour, shannon arrives home 2 hours before maxine. how far does maxine live from work?
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[Assistant] 30

[User]
the owner of a furniture shop charges his customer 15 % more than the cost price. if a customer paid rs. 6400 for a computer table, then what was the cost price of the computer table?
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[Assistant] rs. 5565

[User]
a train speeds past a pole in 15 seconds and a platform 140 meters long in 25 seconds. what is the length of the train ( in meters )?
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[Assistant] 210

[User]
it takes 3 workers a total of 15 hours to build a giant machine with each worker working at the same rate. if 5 workers start to build the machine at 11 : 00 am, and one extra worker per hour is added beginning at 1 : 00 pm, at what time will the machine be complete?
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[Assistant] 5 : 30

[User]
on the number line, if x is halfway between - 11 and 5, and if y is halfway between - 3 and 7, what number is halfway between x and y?
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[Assistant] - 0.5


[User]
john and david work at a hospital with 4 other workers. for an internal review, 2 of the 4 workers will be randomly chosen to be interviewed. what is the probability that john and david will both be chosen?
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[Assistant] 1 / 6

[User]
if w / x = 5 / 7 and w / y = 4 / 7, then ( x + y ) / y =
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[Assistant] 7 / 3

[User]
a worker's take - home pay last year was the same each month, and she saved the same fraction of her take - home pay each month. the total amount of money that she had saved at the end of the year was 6 times the amount of that portion of her monthly take - home pay that she did not save. if all the money that she saved last year was from her take - home pay, what fraction of her take - home pay did she save each month?
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[Assistant] 1 / 3

[User]
the product of two numbers is 4107. if the h. c. f of these numbers is 37, then the greater number is :
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[Assistant] 111

[User]
marts income is 60 percent more than tims income and tims income is 40 percent less than juans income. what percentage of juans income is marts income
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[Assistant] 96 %


[User]
on a trip, a cyclist averaged 8 miles per hour for the first 12 miles and 12 miles per hour for the remaining 24 miles. if the cyclist returned immediately via the same route and took a total of 7.5 hours for the round trip, what was the average speed ( in miles per hour ) for the return trip?
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[Assistant] 9

[User]
the price of a t. v. set worth rs. 20000 is to be paid in 20 installments of rs. 1000 each. if the rate of interest be 6 % per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be?
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[Assistant] 19000

[User]
working alone, pump a can empty a pool in 4 hours. working alone, pump b can empty the same pool in 6 hours. working together, how many minutes will it take pump a and pump b to empty the pool?
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[Assistant] 144

[User]
the radius of a semi circle is 6.83 cm then its perimeter is?
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[Assistant] 34.97

[User]
joan took out a mortgage from hel local bank. each monthly mortgage payment she makes must be triple the amount of the previous month's payment. if her first payment is $ 100, and the total amount she must pay back is $ 109300, how many months will it take joan to pay back her mortgage?
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[Assistant] 7


[User]
jerry began driving from home on a trip averaging 30 miles per hour. how many miles per hour must carla drive on average to catch up to him in exactly 3 hours if she leaves 30 minutes after jerry?
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[Assistant] 35

[User]
having scored 97 runs in the 19 th inning, a cricketer increases his average score by 4. what will be his average score after 19 innings?
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[Assistant] 25

[User]
find the area of a parallelogram with base 22 cm and height 21 cm?
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[Assistant] 462 cm 2

[User]
the population of a town increased from 1, 24,300 to 1, 62,400 in a decade. the average percent increase of population per year is :
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[Assistant] 2.3 %

[User]
a boatman goes 4 km against the current of the stream in 4 hour and goes 1 km along the current in 20 minutes. how long will it take to go 6 km in stationary water?
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[Assistant] 3 hours


[User]
if z is a multiple of 7899, what is the remainder when z ^ 2 is divided by 9?
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[Assistant] 0

[User]
working alone, printers x, y, and z can do a certain printing job, consisting of a large number of pages, in 12, 10, and 20 hours, respectively. what is the ratio of the time it takes printer x to do the job, working alone at its rate, to the time it takes printers y and z to do the job, working together at their individual rates?
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[Assistant] 9 / 5

[User]
the width of a rectangular hall is ½ of its length. if the area of the hall is 288 sq. m, what is the difference between its length and breadth?
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[Assistant] 12 m

[User]
a can contains a mixture of liquids a and b is the ratio 7 : 5. when 9 litres of mixture are drawn off and the can is filled with b, the ratio of a and b becomes 7 : 9. how many liter of liquid a was contained by the can initially?
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[Assistant] 21

[User]
bert and rebecca were looking at the price of a condominium. the price of the condominium was 25 % more than bert had in savings, and separately, the same price was also 50 % more than rebecca had in savings. what is the ratio of what bert has in savings to what rebecca has in savings.
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[Assistant] 2 : 5


[User]
a and b can do a piece of work in 45 days and 40 days respectively. they began to do the work together but a leaves after some days and then b completed the remaining work in 23 days. the number of days after which a left the work was
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[Assistant] 9 days

[User]
virginia, adrienne, and dennis have taught history for a combined total of 75 years. if virginia has taught for 9 more years than adrienne and for 9 fewer years than dennis, for how many years has dennis taught?
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[Assistant] 34

[User]
a big container is 40 % full with water. if 28 liters of water is added, the container becomes 3 / 4 full. what is the capacity of the big container in liters?
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[Assistant] 80

[User]
x starts a business with rs. 54000. y joins in the business after 9 months with rs. 27000. what will be the ratio in which they should share the profit at the end of the year?
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[Assistant] 8 : 1

[User]
at an international conference, “ red ” world countries and “ blue ” world countries are the only participants. the ratio of “ red ” world participants to “ blue ” world participants is 2 : 1. if one - third of “ red ” world participants are left - handed and two - thirds of “ blue ” world participants are left - handed, then what is the fraction of the participants who are left - handed?
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[Assistant] 4 / 9


[User]
if 4 men can colour 48 m long cloth in 2 days, then 6 men can colour 72 m long cloth in
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[Assistant] 2 days

[User]
how many 4 digit even numbers do not use any digit more than once
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[Assistant] 2240

[User]
calculate the speed of a boat in still water ( in km / hr ) if in one hour, the boat goes 10 km / hr downstream and 4 km / hr upstream.
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[Assistant] 7 kmph

[User]
how many times digit 10 is used while writing numbers from 100 to 1000?
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[Assistant] 90

[User]
jacob is 10 years old. he is 5 times as old as his brother. how old will jacob be when he is twice as old?
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[Assistant] 14


[User]
the cash difference between the selling prices of an article at a profit of 4 % and 6 % is rs 3. the ratio of two selling prices is
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[Assistant] 52 : 53

[User]
a 3 - digit number 4 a 3 is added to another 3 - digit number 984 to give a 4 - digit number 13 b 7, which is divisible by 11. then, ( a + b ) =?
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[Assistant] 10

[User]
if 3 ^ x * 4 ^ y = 19,683 and x – y = 9, then x =?
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[Assistant] 9

[User]
in what time will a railway train 64 m long moving at the rate of 46 kmph pass a telegraph post on its way?
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[Assistant] 5

[User]
matt gets a $ 1,600 commission on a big sale. this commission alone raises his average commission by $ 150. if matt's new average commission is $ 400, how many sales has matt made?
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[Assistant] 9


[User]
if the sides of a triangle are 30 cm, 28 cm and 14 cm, what is its area?
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[Assistant] 196 cm 2

[User]
find the principle on a certain sum of money at 5 % per annum for 2 2 / 5 years if the amount being rs. 1232?
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[Assistant] 1100

[User]
a group of students was interviewed for that if it was asked whether or not they speak french and / or english. among those who speak french, 30 speak english well, while 40 of them do not speak english. if 86 % of students do not speak french, how many students were surveyed?
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[Assistant] 500

[User]
the parameter of a square is equal to the perimeter of a rectangle of length 4 cm and breadth 2 cm. find the circumference of a semicircle whose diameter is equal to the side of the square. ( round off your answer to two decimal places )?
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[Assistant] 4.71

[User]
15 different biology books and 8 different chemistry books lie on a shelf. in how many ways can a student pick 2 books of each type?
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[Assistant] 2940


[User]
a specialized type of sand consists of 40 % mineral x by volume and 60 % mineral y by volume. if mineral x weighs 1.5 grams per cubic centimeter and mineral y weighs 3 grams per cubic centimeter, how many grams does a cubic meter of specialized sand combination weigh? ( 1 meter = 100 centimeters )
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[Assistant] 2, 400,000

[User]
excluding stoppages, the speed of a bus is 82 kmph and including stoppages, it is 75 kmph. for how many minutes does the bus stop per hour?
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[Assistant] 5.12

[User]
4, 6, 9, 13.50, 20.25, (... )
Answer the question using a single word or phrase.

[Assistant] 30.375

[User]
during a certain season, a team won 85 percent of its first 100 games and 50 percent of its remaining games. if the team won 70 percent of its games for the entire season, what was the total number of games that the team played?
Answer the question using a single word or phrase.

[Assistant] 175

[User]
a certain clock marks every hour by striking a number of times equal to the hour, and the time require for a stroke is exactly equal to the time interval between strokes. at 6 : 00 the time lapse between the beginning of the first stoke and the end of the last stroke is 22 seconds. at 8 : 00, how many seconds elapse between the beginning of the first stroke and the end of the last stroke?
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[Assistant] 30


[User]
how much time does a train 125 metres long running at 60 km / hr take to pass a pole?
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[Assistant] 7.5 s

[User]
if the number 517 * 324 is completely divisible by 7, then the smallest whole number in the place of * will be :
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[Assistant] 6

[User]
what is the least number which when divided by 5, 6, 9 and 12 leaves remainder 4 in each care?
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[Assistant] 184

[User]
sakshi can do a piece of work in 25 days. tanya is 25 % more efficient than sakshi. the number of days taken by tanya to do the same piece of work :
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[Assistant] 20

[User]
at what price must an article costing rs. 47.50 be marked in order that after deducting 8 % from the list price. it may be sold at a profit of 25 % on the cost price?
Answer the question using a single word or phrase.

[Assistant] 64.54


[User]
in a bag, there are two 6 - sided dice ( numbered 1 to 6 ), 3 12 - sided dice ( numbered 1 to 12 ), and two 20 - sided dice ( numbered 1 to 20 ). if 4 of these dice are selected at random from the bag, and then the 4 are rolled and we find the sum of numbers showing on the 4 dice, how many different possible totals are there for this sum?
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[Assistant] 61

[User]
convert 50 miles into yards?
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[Assistant] 88000 yards

[User]
a bus covers a distance of 12 km in 5 min. if it takes 5 sec to pass a telegraph post, then the length of the bus is?
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[Assistant] 200 m

[User]
a number is doubled and 9 is added. if the resultant is trebled, it becomes 69. what is that number?
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[Assistant] 7

[User]
x can finish a work in 18 days. y can finish the same work in 15 days. yworked for 10 days and left the job. how many days does x alone need to finish the remaining work?
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[Assistant] 6


[User]
n ^ ( n / 2 ) = 8 is true when n = 8 in the same way what is the value of n if n ^ ( n / 2 ) = 20?
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[Assistant] 20

[User]
amar takes as much time in running 12 meters as a car takes in covering 48 meters. what will be the distance covered by amar during the time the car covers 1.6 km?
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[Assistant] 400 m

[User]
find the unit ’ s digit in the product ( 76 ^ 41 ) * ( 41 ^ 14 ) * ( 14 ^ 87 ) * ( 87 ^ 76 )
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[Assistant] 4

[User]
what is the area of an equilateral triangle whose one side length is 40?
Answer the question using a single word or phrase.

[Assistant] 400 √ 3

[User]
a man ate 100 bananas in 5 days, each day eating 6 more than the previous day. how many bananas did he eat on the first day?
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[Assistant] 8


[User]
what is the least value of x. so that 1894 x is divisible by 3?
Answer the question using a single word or phrase.

[Assistant] 2

[User]
if takes 25.5 minutes to download a file using modem a. modem b work at 17 % of the speed of modem a. how long does it take to download a file using a modem b?
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[Assistant] 150 minutes

[User]
the ratio of investments of two partners p and q is 7 : 5 and the ratio of their profits is 7 : 9. if p invested the money for 5 months, find for how much time did q invest the money?
Answer the question using a single word or phrase.

[Assistant] 9

[User]
on july 1 of last year, total employees at company e was decreased by 10 percent. without any change in the salaries of the remaining employees, the average ( arithmetic mean ) employee salary was 10 percent more after the decrease in the number of employees than before the decrease. the total of the combined salaries of all the employees at company e after july 1 last year was what percent w of thatbeforejuly 1 last year?
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[Assistant] 99 %

[User]
what annual installment will discharge a debt of $ 100 due in 3 years at 10 % simple interest?
Answer the question using a single word or phrase.

[Assistant] 30.3


[User]
a boat can travel with aspeed of 20 km / hr in still water. if the speed of the stream is 5 km / hr, find the time taken by the boat to go 125 km downstream.
Answer the question using a single word or phrase.

[Assistant] 5 hrs

[User]
john bought 9.25 m of cloth for $ 397.75. find the cost price per metre.
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[Assistant] 43

[User]
a sum fetched total simple interest of 4016.25 at the rate of 13 p. c. p. a. in 5 years. what is the sum?
Answer the question using a single word or phrase.

[Assistant] 6178.85

[User]
what could be the range of a set consisting of odd multiples of 3?
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[Assistant] 24

[User]
i walk a certain distance and ride back taking a total time of 37 minutes. i could walk both ways in 55 minutes. how long would it take me to ride both ways?
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[Assistant] 19 mins


[User]
a store owner estimates that the average price of type a products will increase by 35 % next year and that the price of type b products will increase by 15 % next year. this year, the total amount paid for type a products was $ 4000 and the total price paid for type b products was $ 5300. according to the store owner's estimate, and assuming the number of products purchased next year remains the same as that of this year, how much will be spent for both products next year?
Answer the question using a single word or phrase.

[Assistant] $ 11,495

[User]
the area of a parallelogram is 242 sq m and its altitude is twice the corresponding base. then the length of the base is?
Answer the question using a single word or phrase.

[Assistant] 11

[User]
a part - time employee whose hourly wage was increased by 10 percent decided to reduce the number of hours worked per week so that the employee's total weekly income would remain unchanged. by what percent should the number of hours worked be reduced?
Answer the question using a single word or phrase.

[Assistant] 9.09

[User]
a company has 15 managers and 75 associates. the 15 managers have an average salary of $ 150,000. the 75 associates have an average salary of $ 30,000. what is the average salary for the company?
Answer the question using a single word or phrase.

[Assistant] $ 50,000

[User]
in the above number, a and b represent the tens and units digits, respectively. if the above number is divisible by 35, what is the greatest possible value of b x a?
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[Assistant] 35


[User]
if 2 x - y = 4 then 6 x - 3 y =?
Answer the question using a single word or phrase.

[Assistant] 12

[User]
find 3486 / 189
Answer the question using a single word or phrase.

[Assistant] 18.44

[User]
mary and mike enter into a partnership by investing $ 600 and $ 400 respectively. at the end of one year, they divided their profits such that a third of the profit is divided equally for the efforts they have put into the business and the remaining amount of profit is divided in the ratio of the investments they made in the business. if mary received $ 1000 more than mike did, what was the profit made by their business in that year?
Answer the question using a single word or phrase.

[Assistant] $ 7500

[User]
a bookstore has a shelf that contains biographies which normally sell for $ 20 each and mysteries that normally sell for $ 12 each. during a sale, the biographies and mysteries are discounted at different rates so that a customer saves a total of $ 19 from the normal price by buying 5 discounted biographies and 3 discounted mysteries. if the sum of the discount rates for the two types of books is 27 percent, what is the discount rate on mysteries?
Answer the question using a single word or phrase.

[Assistant] 12.5 %

[User]
after a storm deposits 120 billion gallons of water into the city reservoir, the reservoir is 80 % full. if the original contents of the reservoir totaled 200 billion gallons, the reservoir was approximately what percentage full before the storm?
Answer the question using a single word or phrase.

[Assistant] 50 %


[User]
find the ones digit of 73 ^ 356
Answer the question using a single word or phrase.

[Assistant] 1

[User]
a classroom has 3 electric lamps. from a collocation of 10 electric bulbs of which 6 are good, 3 are selected at random and put in the lamps. find the probability that the room is lighted.
Answer the question using a single word or phrase.

[Assistant] 29 / 30

[User]
if a population of women in a town is 90 % of men. what is the population of men as a % of population of women?
Answer the question using a single word or phrase.

[Assistant] 111 %

[User]
two trains 135 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. in what time will they be completely clear of each other from the moment they meet?
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[Assistant] 7.45

[User]
4 numbers are in the ratio 2 : 3 : 4 : 5 add up to give a sum of 1344. find the biggest number.
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[Assistant] 480


[User]
rs. 700 is divided among a, b, c so that a receives half as much as b and b half as much as c. then c's share is :
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[Assistant] rs 400

[User]
a is twice as good a workman as b and they took 8 days together to do the work b alone can do it in?
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[Assistant] 24 days

[User]
find the greatest number that will divide 150, 230 and 175 leaving 50, 5 and 25 as remainders respectively
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[Assistant] 32

[User]
how long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 170 m in length?
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[Assistant] 16.8

[User]
for any positive integer n, the sum of the first n positive integers equals n ( n + 1 ) / 2. what is the sum x of all the even integers between 99 and 301?
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[Assistant] 20,200


[User]
a factory has three types of machines, each of which works at its own constant rate. if 7 machine as and 11 machine bs can produce 305 widgets per hour, and if 8 machine as and 22 machine cs can produce 600 widgets per hour, how many widgets could one machine a, one machine b, and one machine c produce in one 8 - hour day?
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[Assistant] 440

[User]
how many odd numbers between 10 and 1200 are the squares of integers?
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[Assistant] 15

[User]
alok ordered 16 chapatis, 5 plates of rice, 7 plates of mixed vegetable and 5 ice - cream cups. the cost of each chapati is rs. 6, that of each plate of rice is rs. 45 and that of mixed vegetable is rs. 70. the amount that alok paid the cashier was rs. 961. find the cost of each ice - cream cup?
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[Assistant] 30

[User]
300 liters of a mixture contains milk and water in the ratio 3 : 2 if 15 liters of this mixture be replaced by 15 liters of milk, the ratio of milk to water in the new mixture would be?
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[Assistant] 13 : 8

[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 12 hours of the journey.
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[Assistant] 492 km


[User]
a chemical supply company has 60 liters of a 25 % hno 3 solution. how many liters of pure undiluted hno 3 must the chemists add so that the resultant solution is a 50 % solution?
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[Assistant] 30

[User]
in a 500 m race, the ratio of the speeds of two contestants a and b is 3 : 4. a has a start of 140 m. then, a wins by
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[Assistant] 20 m

[User]
pipe a can fill a tank in 2 hours. due to a leak at the bottom, it takes 3 hours for the pipe a to fill the tank. in what time can the leak alone empty the full tank?
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[Assistant] 6

[User]
a certain bus driver is paid a regular rate of $ 16 per hour for any number of hours that does not exceed 40 hours per week. for any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75 % higher than his regular rate. if last week the bus driver earned $ 752 in total compensation, how many total hours did he work that week?
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[Assistant] 44

[User]
if the weight of 12 meters long rod is 12.2 kg. what is the weight of 6 meters long rod?
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[Assistant] 6.1 kg


[User]
x starts a business with rs. 45000. y joins in the business after 3 months with rs. 45000. what will be the ratio in which they should share the profit at the end of the year?
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[Assistant] 4 : 3

[User]
find the fraction which has the same ratio to 2 / 5 that 3 / 7 has to 6 / 5
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[Assistant] 1 / 7

[User]
a student traveled 25 percent of the distance of the trip alone, continued another 20 miles with a friend, and then finished the last half of the trip alone. how many miles long was the trip?
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[Assistant] 80

[User]
david obtained 72, 60, 35, 62 and 84 marks ( out of 100 ) in english, mathematics, physics, chemistry and biology what are his average marks?
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[Assistant] 62.6

[User]
mohit sold an article for $ 12000. had he offered a discount of 10 % on the selling price, he would have earned a profit of 8 %. what is the cost price of the article?
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[Assistant] 10000


[User]
a certain store sold pens for $ 0.35 each and pencils for $ 0.25 each. if a customer purchased both pens and pencils from the store for a total of $ 1.80, what total number of pens and pencils did the customer purchase?
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[Assistant] 6

[User]
what profit percent is made by selling an article at a certain price, if by selling at 1 / 2 rd of that price, there would be a loss of 20 %?
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[Assistant] 60 %

[User]
williams works at a resort from the beginning of march to the end of september. during the month of august this past year, he made 10 times the average ( arithmetic mean ) of his monthly totals in tips for the other months. his total tips for august were what fraction of his total tips for all of the months he worked?
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[Assistant] 5 / 8

[User]
how many seconds will it take for a car that is traveling at a constant rate of 77 miles per hour to travel a distance of 21 yards? ( 1 mile = 1,160 yards )
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[Assistant] 0.6

[User]
by selling an article at rs. 400, a profit of 25 % is made. find its cost price?
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[Assistant] 320


[User]
a certain galaxy is known to comprise approximately 4 x 10 ^ 12 stars. of every 50 million of these stars, one is larger in mass than our sun. approximately how many stars in this galaxy are larger than the sun?
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[Assistant] 80,000

[User]
12.5 % of 192 = 50 % of?
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[Assistant] 48

[User]
a 9 % stock yields 25 %. the market value of the stock is :
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[Assistant] rs 36

[User]
find large number from below question the difference of two numbers is 1365. on dividing the larger number by the smaller, we get 6 asquotient and the 15 as remainder?
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[Assistant] 1635

[User]
‘ a ’ completes a work in 12 days. ‘ b ’ completes the same work in 15 days. ‘ a ’ started working alone and after 3 days b joined him. how many days will they now take together to complete the remaining work?
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[Assistant] 5


[User]
the sum of ages of 5 children born 3 years different each is 50 years. what is the age of the elder child?
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[Assistant] 16

[User]
in a coconut grove, ( x + 2 ) trees yield 40 nuts per year, x trees yield 120 nuts per year and ( x – 2 ) trees yield 180 nuts per year. if the average yield per year per tree be 100, find x.
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[Assistant] 7

[User]
find value for x from given equation? x + 1 = - 3
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[Assistant] x = - 4

[User]
rectangular tile each of size 25 cm by 65 cm must be laid horizontally on a rectangular floor of size 150 cm by 390 cm, such that the tiles do not overlap and they are placed with edges jutting against each other on all edges. a tile can be placed in any orientation so long as its edges are parallel to the edges of floor. no tile should overshoot any edge of the floor. the maximum number of tiles that can be accommodated on the floor is :
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[Assistant] 36

[User]
of the 3,600 employees of company x, 1 / 6 are clerical. if the clerical staff were to be reduced by 1 / 4, what percent of the total number of the remaining employees would then be clerical?
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[Assistant] 13 %


[User]
ajay bought 15 kg of dal at the rate of rs 14.50 per kg and 10 kg at the rate of rs 13 per kg. he mixed the two and sold the mixture at the rate of rs 15 per kg. what was his total gain in this transaction?
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[Assistant] rs 27.50

[User]
speed of a boat in standing water is 10 kmph and speed of the stream is 2 kmph. a man can rows to a place at a distance of 100 km and comes back to the starting point. the total time taken by him is?
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[Assistant] 20 hr 50 min

[User]
shekar scored 76, 65, 82, 67 and 95 marks in mathematics, science, social studies, english and biology respectively. what are his average marks?
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[Assistant] 77

[User]
if in a race of 110 m, a covers the distance in 20 seconds and b in 25 seconds, then a beats b by :
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[Assistant] 22 m

[User]
a part of certain sum of money is invested at 9 % per annum and the rest at 15 % per annum, if the interest earned in each case for the same period is equal, then ratio of the sums invested is?
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[Assistant] 5 : 3