[User]
on a certain day, tim invested $ 600 at 10 percent annual interest, compounded annually, and lana invested 1,000 at 5 percent annual interest, compounded annually. the total amount of interest earned by tim ’ s investment in the first 2 years was how much greater than the total amount of interest earned by lana ’ s investment in the first 2 years?
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[Assistant] $ 23.5

[User]
john has 10 pairs of matched socks. if he loses 9 individual socks, what is the greatest number of pairs of matched socks he can have left?
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[Assistant] 5

[User]
a $ 500 investment and a $ 1,500 investment have a combined yearly return of 8.5 percent of the total of the two investments. if the $ 500 investment has a yearly return of 7 percent, what percent yearly return does the $ 1,500 investment have?
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[Assistant] 9 %

[User]
a trader bought a car at 30 % discount on its original price. he sold it at a 70 % increase on the price he bought it. what percent of profit did he make on the original price?
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[Assistant] 19 %

[User]
in an electric circuit, two resistors with resistances x and y are connected in parallel. if r is the combined resistance of these two resistors, then the reciprocal of r is equal to the sum of the reciprocals of x and y. what is r if x is 4 ohms and y is 5 ohms?
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[Assistant] 20 / 9


[User]
the parameter of a square is equal to the perimeter of a rectangle of length 14 cm and breadth 10 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] 18.86

[User]
a man invested rs. 14,400 in rs. 100 shares of a company at 20 % premium. if the company declares 6 % dividend at the end of the year, then how much does he get?
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[Assistant] rs. 720

[User]
two friends plan to walk along a 43 - km trail, starting at opposite ends of the trail at the same time. if friend p's rate is 15 % faster than friend q's, how many kilometers will friend p have walked when they pass each other?
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[Assistant] 23

[User]
the ratio of money with ram and gopal is 7 : 17 and that with gopal and krishan is 7 : 17. if ram has rs. 588, krishan has?
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[Assistant] s. 3468

[User]
a person travels equal distances with speeds of 4 km / hr, 8 km / hr, 12 km / hr. and takes a total time of 11 minutes. find the total distance?
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[Assistant] 1200 mts


[User]
a man drives at a speed of 40 miles / hr. his wife left 30 mins. late with 50 miles / hr speed. when will they meet?
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[Assistant] 2 hours

[User]
a and b together can complete work in 8 days. a alone starts working and leaves it after working for 6 days completing only half of the work. in how many days it can be completed if the remaining job is undertaken by b?
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[Assistant] 12

[User]
in a certain boys camp, 20 % of the total boys are from school a and 30 % of those study science. if there are 63 boys in the camp that are from school a but do not study science then what is the total number of boys in the camp?
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[Assistant] 450

[User]
the time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. if the speed of the boat in still water is 78 kmph, find the speed of the stream?
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[Assistant] 26

[User]
angelina walked 960 meters from her home to the grocery at a constant speed. she then walked 480 meters to the gym at double the speed. she spent 40 seconds less on her way from the grocery to the gym than on her way from home to the grocery. what was angelina's speed, in meters per second, from the grocery to the gym?
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[Assistant] 36


[User]
money invested at x %, compounded annually, triples in value in approximately every 112 / x years. if $ 3500 is invested at a rate of 8 %, compounded annually, what will be its approximate worth in 28 years?
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[Assistant] $ 31,500

[User]
the ratio of the ages of 3 people is 4 : 6 : 7. 8 years ago, the sum of their ages was 44. find their present ages.
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[Assistant] 16, 24,28

[User]
how many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 72 kmph?
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[Assistant] 12.5 sec

[User]
a meal cost $ 35.50 and there was no tax. if the tip was more than 10 pc but less than 15 pc of the price, then the total amount paid should be :
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[Assistant] 39 - 41

[User]
find the area of trapezium whose parallel sides are 20 cm and 10 cm long, and the distance between them is 10 cm.
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[Assistant] 150 cm 2


[User]
a rectangular lawn of dimensions 90 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. what is the cost of traveling the two roads at rs. 3 per sq m?
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[Assistant] s. 4200

[User]
a soccer team played 158 games and won 40 percent of them. how many games did it win?
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[Assistant] 63.2

[User]
the consumption of diesel per hour of a bus varies directly as square of its speed. when the bus is travelling at 70 kmph its consumption is 1 litre per hour. if each litre costs $ 70 and other expenses per hous is $ 70, then what would be the minimum expenditure required to cover a distance of 700 km?
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[Assistant] 1400

[User]
a car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 80 kilometers per hour. at what speed, in kilometers per hour, is the car traveling?
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[Assistant] 76.6

[User]
15 litres of mixture contains 20 % alcohol and the rest water. if 3 litres of water be mixed with it, the percentage of alcohol in the new mixture would be?
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[Assistant] 16.67 %


[User]
total number of people attending a party is 600. 70 % of the men are wearing black shirt and rest are wearing red. if 60 % of the total people are women then how many men are wearing red shirts?
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[Assistant] 72

[User]
the mall charges 60 cents for the first hour of parking and $ 4 for each additional hour until the customer reaches 4 hours, after that the parking fee is $ 2 per hour. if edward parked his car in the mall for 7 hours and 30 minutes, how much is he going to pay?
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[Assistant] $ 25.2

[User]
suzie ’ s discount footwear sells all pairs of shoes for one price and all pairs of boots for another price. on monday the store sold 22 pairs of shoes and 16 pairs of boots for $ 650. on tuesday the store sold 8 pairs of shoes and 32 pairs of boots for $ 760. how much more do pairs of boots cost than pairs of shoes at suzie ’ s discount footwear?
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[Assistant] $ 5.00

[User]
( 17 ) 5.5 x ( 17 )? = 178
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[Assistant] none of these

[User]
in a fort, there are 1200 soldiers. if each soldier consumes 3 kg per day, the provisions available in the fort will last for 30 days. if some more soldiers join, the provisions available will last for 25 days given each soldier consumes 2.5 kg per day. find the number of soldiers joining the fort in that case.
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[Assistant] 528 soldiers


[User]
what least value should be replaced by * in 483 * 4312 so the number become divisible by 6
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[Assistant] 2

[User]
calculate the standard deviation of each data set { 10, 1010, 1010 }
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[Assistant] 8.05

[User]
the ratio of three numbers is 3 : 4 : 7 and their product is 18144. the numbers are
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[Assistant] 18, 24,42

[User]
john and david can finish a job together in 3 hours. if john can do the job by himself in 4 hours, what percent of the job does david do?
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[Assistant] 25 %

[User]
the length of the longest tape in cm which can be used to measure exactly, the length 6 m ; 5 m ; and 12 m is :
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[Assistant] 100


[User]
a boat can travel with a speed of 16 km / hr in still water. if the rate of stream is 5 km / hr, then find the time taken by the boat to cover distance of 84 km downstream.
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[Assistant] 4 hours

[User]
7.007 / 2.002 =
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[Assistant] 3.5

[User]
the average of first 40 prime numbers is?
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[Assistant] 16.41

[User]
the true discount on a bill due 9 months hence at 16 % per annum is rs. 198. the amount of the bill is
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[Assistant] rs. 1650

[User]
find the number, difference between number and its 3 / 5 is 56.
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[Assistant] 140


[User]
how many seconds will a 600 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] 36

[User]
nicky and cristina are running a 200 meter race. since cristina is faster than nicky, she gives him a 12 second head start. if cristina runs at a pace of 5 meters per second and nicky runs at a pace of only 3 meters per second, how many seconds will nicky have run before cristina catches up to him?
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[Assistant] 30

[User]
a train 200 m long is running with a speed of 54 kmph. in what will it pass a car whose speed at 36 kmph in the direction opposite to that in which the train is going
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[Assistant] 8 sec

[User]
a sum of 12,500 amounts to 15,500 in 4 years at the rate of simple interest. what is the rate of interest?
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[Assistant] 6 %

[User]
car a runs at the speed of 65 km / hr & reaches its destination in 8 hr. car b runs at the speed of 72 km / h & reaches its destination in 4 h. what is the respective ratio of distances covered by car a & car b?
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[Assistant] 65 : 36


[User]
jerry ’ s average ( arithmetic mean ) score on the first 3 of 4 tests is 85. if jerry wants to raise his average by 2 points, what score must he earn on the fourth test?
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[Assistant] 93

[User]
the radius of the two circular fields is in the ratio 3 : 5 the area of the first field is what percent less than the area of the second?
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[Assistant] 64 %

[User]
find the lowest common multiple of 25, 35 and 50.
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[Assistant] 350

[User]
a side of beef lost 35 percent of its weight in processing. if the side of beef weighed 580 pounds after processing, how many pounds did it weigh before processing?
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[Assistant] 892

[User]
country x imported approximately $ 1.20 billion of goods in 1996. if country x imported $ 288 million of goods in the first two months of 1997 and continued to import goods at the same rate for the rest of the year, by how much would country xs 1997 imports exceed those of 1996?
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[Assistant] $ 528 million


[User]
in the xy - coordinate system, if ( m, n ) and ( m + 2, n + k ) are two points on the line with the equation x = 2 y + 5, then k =
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[Assistant] 1

[User]
the difference between c. i. and s. i. on an amount of $ 15,000 for 2 years is $ 54. what is the rate of interest per annum?
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[Assistant] 6 %

[User]
$ 600 is divided amongst a, b and c so that a may get 2 / 3 as much as b and c together, b may get 6 / 9 as much as a and c together, then the share of a is
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[Assistant] $ 240

[User]
what is the smallest no. which must be added to 532869 so as to obtain a sum which is divisible by 9?
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[Assistant] 3

[User]
the speed of a boat in still water is 20 km / hr and the rate of current is 5 km / hr. the distance travelled downstream in 12 minutes is :
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[Assistant] 5


[User]
a sum was put at simple interest at a certain rate for 6 years had it been put at 4 % higher rate, it would have fetched 144 more. find the sum.
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[Assistant] 600

[User]
what least no. must be subtracted from 427398 so that remaining no. is divisible by 10?
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[Assistant] 8

[User]
the number of students enrolled at school xx this year is 7 percent more than it was last year. the number of students enrolled at school yy this year is 3 percent more than it was last year. if school xx grew by 40 more students than school yy did, and if there were 4000 total enrolled students last year at both schools, how many students were enrolled at school yy last year?
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[Assistant] 2400

[User]
a 20 litre mixture of milk and water contains milk and water in the ratio 3 : 2. 10 litres of the mixture is removed and replaced with pure milk and the operation is repeated once more. at the end of the two removal and replacement, what is the ratio t of milk and water in the resultant mixture?
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[Assistant] 9 : 1

[User]
a collection of books went on sale, and 2 / 3 of them were sold for $ 3.50 each. if none of the 36 remaining books were sold, what was the total amount received for the books that were sold?
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[Assistant] $ 252


[User]
the average runs scored by a batsman in 35 matches is 36. in the next 14 matches the batsman scored an average of 15 runs. find his average in all the 30 matches?
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[Assistant] 30

[User]
the average ( arithmetic mean ) of the 5 positive integers k, m, r, s, and t is 18, and k < m < r < s < t. if t is 40, what is the greatest possible value of the median of the 5 integers?
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[Assistant] 23

[User]
how many positive integers less than 7,000 are there in which the sum of the digits equals 5?
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[Assistant] 56

[User]
4 / [ ( 1 / 0.03 ) + ( 1 / 0.37 ) ] =?
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[Assistant] 0.11111

[User]
by selling 16 pencils for a rupee a man loses 28 %. how many for a rupee should he sell in order to gain 28 %?
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[Assistant] 9


[User]
tim came second in math. when his mother asked him how much he had scored, he answered that he got the sum of the first 8 even numbers. his mother immediately worked out the answer. how much had he scored in math?
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[Assistant] 72

[User]
a and b can do a work in 5 days, b and c in 15 days and c and a in 25 days. in how many days will the work be completed, if all three of them work together?
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[Assistant] 150 / 23

[User]
22 percent of 300
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[Assistant] 66

[User]
working individually, allison can sew dresses for 9 hours and al can sew dresses in 12 hours. if allison and al work together but independently at the task for 3 hours, at which point al leaves, how many remaining hours will it take allison to complete the task alone?
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[Assistant] 45 / 12

[User]
3 friends are planning to attend a concert. if another friend also goes with them, they will get a group discount on their tickets. if the new total price of the tickets with the group discount is the same as the original total price of the tickets without the group discount, how much is the discount?
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[Assistant] 25 %


[User]
the true discount on a bill of rs. 540 is rs. 90. the banker's discount is :
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[Assistant] rs. 108

[User]
when positive integer x is divided by positive integer y, the remainder is 3. if x / y = 96.15, what is the value of y?
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[Assistant] 20

[User]
fetched a total simple interest of rs. 4216.25 at the rate of 9 p. c. p. a. in 5 years. what is the sum?
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[Assistant] rs. 8925

[User]
the average of 10 numbers is calculated as 15. it is discovered later on that while calculating the average, one number namely 36 was wrongly read as 26. the correct average is?
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[Assistant] 16

[User]
if x is 20 percent greater than 98, then x =
Answer the question using a single word or phrase.

[Assistant] 117.6


[User]
30 pens and 75 pencils were purchased for 450. if the average price of a pencil was 2.00, find the average price of a pen.
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[Assistant] 10

[User]
a person is traveling at 100 km / hr and reached his destiny in 5 then find the distance?
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[Assistant] 500 km

[User]
if jake loses 29 pounds, he will weigh twice as much as his sister. together they now weigh 99 pounds. what is jake's present weight, in pounds?
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[Assistant] 69

[User]
a man can row downstream at the rate of 18 kmph and upstream at 6 kmph. find the man ’ s rate in still water and rate of current?
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[Assistant] 6.0

[User]
the average ( arithmetic mean ) of the even integers from 0 to 40 inclusive is how much greater than the average ( arithmetic mean ) of the even integers from 0 to 20 inclusive?
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[Assistant] 10


[User]
what is the smallest number h which when increased by 5 is completely divisible by 8, 11 and 24?
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[Assistant] 259

[User]
the cost price of a radio is rs. 1500 and it was sold for rs. 1290, find the loss %?
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[Assistant] 14 %

[User]
( 17 ) 3.75 x ( 17 )? = 178
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[Assistant] 4.25

[User]
the speed of a boat in still water in 15 km / hr and the rate of current is 3 km / hr. the distance travelled downstream in 12 minutes is :
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[Assistant] 3.6 km

[User]
if 1000 microns = 1 decimeter, and 1, 000,000 angstroms = 1 decimeter, how many angstroms equal 1 micron?
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[Assistant] 1000


[User]
10 men, working 7 hours a day can complete a work in 18 days. how many hours a day must 15 men work to complete the same work in 12 days?
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[Assistant] 7

[User]
calculate the value of n from the below equation : y ^ 4 â ˆ ’ 20 y + 1 = 22
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[Assistant] 3

[User]
the average of first five prime numbers greater than 37 is?
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[Assistant] 48.6

[User]
a bag contains 6 black and 6 white balls. one ball is drawn at random. what is the probability that the ball drawn is white?
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[Assistant] 1 / 2

[User]
the list price of an article is rs. 67. a customer pays rs. 56.16 for it. he was given two successive discounts, one of them being 10 %. the other discount is?
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[Assistant] 6.86 %


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

[User]
rectangle a has sides a and b, and rectangle b has sides c and d. if a / c = b / d = 2 / 3, what is the ratio of rectangle a ’ s area to rectangle b ’ s area?
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[Assistant] 4 / 9

[User]
the probability that event a occurs is 0.4, and the probability that events a and b both occur is 0.25. if the probability that either event a or event b occurs is 0.8, what is the probability that event b will occur?
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[Assistant] 0.65

[User]
a lemonade stand sold only small and large cups of lemonade on tuesday. 1 / 5 of the cups sold were small and the rest were large. if the large cups were sold for 7 / 6 as much as the small cups, what fraction of tuesday's total revenue was from the sale of large cups?
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[Assistant] 14 / 17

[User]
if money is invested at r percent interest, compounded annually, the amount of the investment will double in approximately 50 / r years. if luke's parents invested $ 14,500 in a long term bond that pays 12 percent interest compounded annually, what will be the approximate total amount of the investment 12 years later, when luke is ready for college?
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[Assistant] 120,500


[User]
12 is 4 % of a, and 4 is 12 % of b. c equals b / a. what is the value of c?
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[Assistant] 1 / 9

[User]
a contractor undertook to make 15 km of roadway in 40 weeks. in 10 weeks, 3 km was complete by 180 men working 8 hours a day. the men then agreed to work 1 hour a day overtime, and some boys were engaged to assist them, the work was finished in the stipulated time ( 40 weeks ). how many boys were employed, if the work of 3 boys is equal to that of 2 men?
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[Assistant] 50

[User]
a man can row 7 kmph in still water. when the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. how far is the place?
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[Assistant] 3.4

[User]
find the least number of complete years in which a sum of money put out at 33.3 % compound interest will be more than double of itself?
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[Assistant] 3

[User]
the sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. their sum is
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[Assistant] 20


[User]
if a number n is chosen at random from the set of two - digit integers whose digits are both prime numbers, what is the probability w that n is divisible by 3?
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[Assistant] 5 / 16

[User]
a grocer has a sale of rs. 5266, rs. 5768, rs. 5922, rs. 5678 and rs. 6029 for 5 consecutive months. how much sale must he have in the sixth month so that he gets an average sale of rs. 5600?
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[Assistant] 4937

[User]
in a certain pond, 40 fish were caught, tagged, and returned to the pond. a few days later, 40 fish were caught again, of which 2 were found to have been tagged. if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what ` s the approximate number of fish in the pond?
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[Assistant] 800

[User]
the guests at a football banquet consumed a total of 327 pounds of food. if no individual guest consumed more than 2 pounds of food, what is the minimum number of guests that could have attended the banquet?
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[Assistant] 164

[User]
a report consists of 20 sheets each of 55 lines and each such line consist of 65 characters. this report is retyped into sheets each of 65 lines such that each line consists of 70 characters. the percentage reduction in number of sheets is closest to
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[Assistant] 20


[User]
students at a school were on average 180 cm tall. the average female height was 170 cm, and the average male height was 184 cms. what was the ratio q of men to women?
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[Assistant] 5 : 2

[User]
8 / 4 / 2 =?
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[Assistant] 1

[User]
a wholesaler wishes to sell 100 pounds of mixed nuts at $ 2.00 a pound. she mixes peanuts worth $ 1.50 a pound with cashews worth $ 4.00 a pound. how many pounds of cashews must she use?
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[Assistant] 50

[User]
by weight, liquid x makes up 0.7 percent of solution p and 1.2 percent of solution q. if 200 grams of solution p are mixed with 800 grams of solution q, then liquid x accounts for what percent of the weight of the resulting solution?
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[Assistant] 1.1 %

[User]
a courtyard is 20 meter long and 16 meter board is to be paved with bricks of dimensions 20 cm by 10 cm. the total number of bricks required is?
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[Assistant] 16000


[User]
a car takes 4 hours to cover a distance of 540 km. how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time?
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[Assistant] 90 kmph

[User]
3 / 8 of 168 * 15 / 5 + x = 549 / 9 + 275
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[Assistant] 147

[User]
square a has an area of 121 square centimeters. square b has a perimeter of 16 centimeters. if square b is placed within square a and a random point is chosen within square a, what is the probability the point is not within square b?
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[Assistant] 105 / 121

[User]
the end of a blade on an airplane propeller is 15 feet from the center. if the propeller spins at the rate of 1,320 revolutions per second, how many miles will the tip of the blade travel in one minute? ( 1 mile = 5,280 feet )
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[Assistant] 450 π

[User]
a man whose speed is 4 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1 kmph, find his average speed for the total journey?
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[Assistant] 3.75


[User]
at a certain paint store forest green is made by mixing 4 parts blue paint with 3 parts yellow paint. verdant green is made by mixing 4 parts yellow paint with 3 parts blue paint. how many liters of yellow paint must be added to 42 liters of forest green to change it to verdant green?
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[Assistant] 14

[User]
a new home buyer pays 4 % annual interest on her first mortgage and 9 % annual interest on her second mortgage. if she borrowed a total of $ 300,000, 80 % of which was in the first mortgage, what is her approximate monthly interest payment?
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[Assistant] $ 1,250

[User]
a metallic sheet is of rectangular shape with dimensions 48 m x 36 m. from each of its corners, a square is cut off so as to make an open box. if the length of the square is 8 m, the volume of the box ( in m 3 ) is
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[Assistant] 5120

[User]
1,2, 3,2, 4,6, 4,8, _____
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[Assistant] 12

[User]
there were two candidates in an election. winner candidate received 62 % of votes and won the election by 312 votes. find the number of votes casted to the winning candidate?
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[Assistant] 806


[User]
5358 x 52 =?
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[Assistant] 278616

[User]
if x / ( 9 p ) is an odd prime number, where x is a positive integer and p is a prime number, what is the least value of x?
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[Assistant] 54

[User]
rs. 900 is divided among maya, annie, saiji so that maya receives half as much as annie and annie half as much as saiji. then saiji ’ s share is :
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[Assistant] rs. 400

[User]
a company has two models of computers, model m and model n. operating at a constant rate, a model m computer can complete a certain task in 24 minutes and a model n computer can complete the same task in 12 minutes. if the company used the same number of each model of computer to complete the task in 1 minute, how many model m computers were used?
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[Assistant] 8

[User]
a and b together can do a work in 4 days. a alone can do it in 20 days. what time b will take to do the work alone?
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[Assistant] 5 days


[User]
in a kilometer race, a beats b by 200 meters or 10 seconds. what time does a take to complete the race?
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[Assistant] 40 sec

[User]
if a car went the first third of the distance at 80 kmh, the second third at 15 kmh, and the last third at 48 kmh, what was the average speed of the car for the entire trip?
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[Assistant] 30 kmh

[User]
x and y invested in a business. they earned some profit which they divided in the ratio of 2 : 6. if x invested rs. 5,000. the amount invested by y is
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[Assistant] rs. 15,000

[User]
in a school with 5 classes, each class has 2 students less than the previous class. how many students are there in the largest class if the total number of students at school is 100?
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[Assistant] 24

[User]
an article is bought for rs. 600 and sold for rs. 900, find the gain percent?
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[Assistant] 50 %


[User]
mark and ann together were allocated n boxes of cookies to sell for a club project. mark sold 7 boxes less than n and ann sold 2 boxes less than n. if mark and ann have each sold at least one box of cookies, but together they have sold less than n boxes, what is the value of n?
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[Assistant] 8

[User]
total 15 cows 5 cow gives each 2 liter milk 5 cow gives each 3 / 4 liter milk 5 cow gives each 1 / 4 liter milk this is split into 3 son per each 5 cows & 5 liter milk how?
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[Assistant] 5

[User]
given f ( x ) = 3 x – 5, for what value of x does 2 * [ f ( x ) ] – 19 = f ( x – 4 )?
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[Assistant] 4

[User]
a committee is reviewing a total of 20 x black - and - white films and 8 y color films for a festival. if the committee selects y / x % of the black - and - white films and all of the color films, what fraction of the selected films are in color?
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[Assistant] 40 / 41

[User]
if | 4 x + 2 | = 46, what is the sum of all the possible values of x?
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[Assistant] - 1


[User]
there are 780 male and female participants in a meeting. half the female participants and one - quarterof the male participants are democrats. one - third of all the participants are democrats. how many of the democrats are female?
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[Assistant] 130

[User]
there are 680 students in a school. the ratio of boys and girls in this school is 3 : 5. find the total of girls & boys are there in this school?
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[Assistant] 425

[User]
in a clothing store, there are 6 different colored neckties ( orange, yellow, green, blue, and indigo ) and 5 different colored shirts ( orange, yellow, green, blue, and indigo ) that must be packed into boxes for gifts. if each box can only fit one necktie and one shirt, what is the probability that all of the boxes will contain a necktie and a shirt of the same color?
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[Assistant] 1 / 120

[User]
325 metres long yard, 26 trees are palnted at equal distances, one tree being at each end of the yard. what is the distance between 2 consecutive trees
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[Assistant] 13

[User]
in the coordinate plane, points ( x, 1 ) and ( 4, y ) are on line k. if line k passes through the origin and has slope 1 / 4, then x + y =
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[Assistant] 5


[User]
the average weight of 20 persons sitting in a boat had some value. a new person added to them whose weight was 45 kg only. due to his arrival, the average weight of all the persons decreased by 5 kg. find the average weight of first 20 persons?
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[Assistant] 60

[User]
the total population of dogs in a community is estimated to be 50 % male and 50 % female. the total number of black dogs is 20 % greater than the total number of male black dogs. if the total number of female dogs is 8 times more than the number of female black dogs what percentage of male dogs is black?
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[Assistant] 62.5

[User]
when magnified 1,000 times by an electron microscope, the image of a certain circular piece of tissue has a diameter of 0.3 centimeter. the actual diameter of the tissue, in centimeters, is
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[Assistant] 0.0003

[User]
the ratio 25 : 50 expressed as percent equals to
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[Assistant] 50 %

[User]
a man is 22 years older than his son. in two years, his age will be twice the age of his son. what is the present age of his son?
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[Assistant] 20 years


[User]
18 beavers, working together in a constant pace, can build a dam in 8 hours. how many hours will it take 36 beavers that work at the same pace, to build the same dam?
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[Assistant] 4.

[User]
2 + 4
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[Assistant] 6

[User]
maxwell leaves his home and walks toward brad's house at the same time that brad leaves his home and runs toward maxwell's house. if the distance between their homes is 30 kilometers, maxwell's walking speed is 4 km / h, and brad's running speed is 6 km / h, what is the distance traveled by brad?
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[Assistant] 18

[User]
a pump can fill a tank with water in 2 hours. because of a leak, it took 2 1 / 6 hours to fill the tank. the leak can drain all the water of the tank in?
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[Assistant] 26 hr

[User]
10 people went to a hotel for combine dinner party 5 of them spent rs. 20 each on their dinner and rest spent 4 more than the average expenditure of all the 10. what was the total money spent by them.
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[Assistant] 240


[User]
a man can do a piece of work in 10 days, but with the help of his son, he can do it in 4 days. in what time can the son do it alone?
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[Assistant] 20 / 3

[User]
find the next term 88, 62,..?
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[Assistant] - 4

[User]
the cash difference between the selling prices of an book at a profit of 2 % and 4 % is $ 3. the ratio of the two selling prices is :
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[Assistant] 51 : 52

[User]
how long does a train 100 m long running at the speed of 75 km / hr takes to cross a bridge 135 m length?
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[Assistant] 11.3 sec

[User]
what is the smallest positive integer x, such that 7000 x is a perfect cube?
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[Assistant] 12


[User]
how many factors of 990 are odd numbers greater than 1?
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[Assistant] 15

[User]
square a has an area of 25 square centimeters. square b has a perimeter of 12 centimeters. if square b is placed within square a and a random point is chosen within square a, what is the probability the point is not within square b?
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[Assistant] 16 / 25

[User]
two trains 150 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] 7.82

[User]
a train running at the speed of 50 km / hr crosses a pole in 9 sec. what is the length of the train?
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[Assistant] 125 m

[User]
two - third of a positive number and 25 / 216 of its reciprocal are equal. the number is :
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[Assistant] 5 / 12


[User]
x + ( 1 / x ) = 2.5 find x ^ 2 + ( 1 / x ^ 2 )
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[Assistant] 4.25

[User]
a = { 0, 1, - 3, 6, - 8, - 10 } b = { - 1, 2, - 4, 7, 6, - 9 } if a is a number that is randomly selected from set a, and b is a number that is randomly selected from set b, what is the probability that ab < 0?
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[Assistant] 5 / 12

[User]
which number need to add to 172835 to get a number exactly divisible by 136?
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[Assistant] 21

[User]
simplify : 99 ^ 48 / 49 * 245.
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[Assistant] 24495

[User]
a boy swims downstream 91 km and upstream 21 km taking 7 hours each time, what is the speed of the boy in still water?
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[Assistant] 8


[User]
how many even integers n, such that 20 < = n < = 180 are of the form 3 k + 4, where k is any natural number?
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[Assistant] 27

[User]
two numbers n and 12 have lcm = 48 and gcf = 8. find n.
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[Assistant] 32

[User]
in a hostel, the number of students decreased by 9 % and the price of food increased by 20 % over the previous year. if each student consumes the same amount of food then by how much should the consumption of food be cut short by every student, so that the total cost of the food remains the same as that of the previous year?
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[Assistant] 8.4 %

[User]
a company produces on an average 4000 items per month for the first 3 months. how many items it must produce on an average per month over the next 9 months, to average of 4375 items per month over the whole?
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[Assistant] 4500

[User]
pat, kate and mark charged a total of 144 hours to a certain project. if pat charged twice as much time to the project as kate and 1 / 3 as much times as mark, how many more hours did mark charge to the project than kate.
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[Assistant] 80


[User]
69 laboratories raise the bacterium, the laboratory have 48 culture dishes on average, which has about 25,075 bacteria each. how many bacteria are there approximately?
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[Assistant] 10 ^ 7

[User]
divide $ 5000 among x, y in the ratio 2 : 8. how many $ that x get?
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[Assistant] $ 1000

[User]
a teacher gave the same test to 3 history classes : u, b, and c. the average ( arithmetic mean ) scores for the 3 classes were 65, 80, and 77, respectively. the ratio of the numbers of students in each class who took the test was 4 to 6 to 5, respectively. what was the average score for the 3 classes combined?
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[Assistant] 75

[User]
a cube of edge 15 cm is immersed completely in a rectangular vessel containing water. if the dimensions of the base of vessel are 20 cm * 15 cm, find the rise in water level?
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[Assistant] 11.25 cm

[User]
how many positive integers less than 28 are prime numbers, odd multiples of 5, or the sum of a positive multiple of 2 and a positive multiple of 4?
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[Assistant] 22


[User]
what are the last two digits of 63 * 35 * 37 * 82 * 71 * 41 * 53?
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[Assistant] 80

[User]
in n is a positive integer less than 200, and 27 n / 60 is an integer, then n has how many different positive prime factors?
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[Assistant] 2

[User]
the ratio of the adjacent angles of a parallelogram is 5 : 10. also, the ratio of the angles of quadrilateral is 5 : 6 : 7 : 12. what is the sum of the smaller angle of the parallelogram and the second largest angle of the quadrilateral?
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[Assistant] 144 °

[User]
the population of a city increases by 5 % per year but due to migration it decrease by 1 % per years. what will be the percentage increase in population in 3 years?
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[Assistant] 12.48 %

[User]
the sum of the present age of henry and jill is 33. what is their present ages if 6 years ago henry was twice the age of jill?
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[Assistant] and 20


[User]
in a division sum, the remainder is 5 and the divisor is 3 times the quotient and is obtained by adding 3 to the thrice of the remainder. the dividend is :
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[Assistant] 113

[User]
what is the sum of the multiples of 4 between 34 and 135 inclusive?
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[Assistant] 2100

[User]
a train sets off at 9 : 00 am at the speed of 70 km / h. another train starts at 9 : 30 am in the same direction at the rate of 80 km / h. at what time will the second train catch the first train?
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[Assistant] 1 : 00

[User]
the area of a rectangular plot is 21 times its breadth. if the difference between the length and the breadth is 10 metres, what is its breadth?
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[Assistant] 11 metres

[User]
a man took a loan at rate of 12 % per annum simple interest. after 3 years he had to pay 3600 interest. the principal amount borrowed by him was.
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[Assistant] rs 10000


[User]
a, b and c started a business with a total investment of rs. 72000. a invests rs. 6000 more than b and b invests rs. 3000 less than c. if the total profit at the end of a year is rs. 8640, find c's share.
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[Assistant] rs. 2880

[User]
( 3 x + 2 ) ( 2 x - 3 ) = ax ^ 2 + kx + n. what is the value of a - n + k?
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[Assistant] 7

[User]
a vendor sells 50 percent of the apples he had and throws away 20 percent of the remainder. the next day, the vendor sells 50 percent of the remaining apples and throws away the rest. in total, what percent of his apples does the vendor throw away?
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[Assistant] 30

[User]
a jar full of whisky contains 40 % alcohol. a part of this whisky is replaced by another containg 19 % alcohol and now the percentage of alcohol was found to be 26 %. what quantity of whisky is replaced?
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[Assistant] 2 / 3

[User]
two numbers are in the ratio 3 : 4. if their l. c. m. is 96. what is sum of the numbers?
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[Assistant] 56


[User]
by selling an article for $ 180, a person gains $ 30. what is the gain %?
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[Assistant] 20 %

[User]
two vessels p and q contain 62.5 % and 87.5 % of alcohol respectively. if 2 litres from vessel p is mixed with 6 litres from vessel q, the ratio of alcohol and water in the resulting mixture is?
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[Assistant] 13 : 3

[User]
what is 2 / 5 of 5 / 9 of 1 / 2?
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[Assistant] 1 / 9

[User]
john completes a piece of work in 10 days, rose completes the same work in 40 days. if both of them work together, then the number of days required to complete the work is?
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[Assistant] 8 days

[User]
at a time a, do 20 % less work than b. if a do any work in 15 / 2 hour, then in how many hour b will finish work?
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[Assistant] 6 hour


[User]
9. the least number which should be added to 28523 so that the sum is exactly divisible by 3, 5, 7 and 8 is
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[Assistant] 37

[User]
find the value of ( 75983 * 75983 - 45983 * 45983 / 30000 )
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[Assistant] 121966

[User]
what is the value of 10 ^ 6 - 6 ^ 4?
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[Assistant] 9, 98,704

[User]
the radius of a wheel is 22.4 cm. what is the distance covered by the wheel in making 1250 resolutions?
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[Assistant] 1760 m

[User]
a man gains 20 % by selling an article for a certain price. if the sells it at double the price, the percentage of profit will be
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[Assistant] 140 %


[User]
the salary of a worker is first increased by 10 % and afterwards reduced by 10 %. what is the net change in the worker's salary?
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[Assistant] 1 % decrease

[User]
alok ordered 16 chapatis, 5 plates of rice, 7 plates of mixed vegetable and 6 ice - cream cups. the cost of each chapati is rs. 6, that of each plate of rice is rs. 45 and that of mixed vegetable is rs. 70. the amount that alok paid the cashier was rs. 1051. find the cost of each ice - cream cup?
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[Assistant] 40

[User]
the cost of painting the 4 walls of a room is rs. 350. the cost of painting a room 3 times in length, breadth and height will be :
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[Assistant] rs. 3150

[User]
a number is doubled and 5 is added. if the resultant is trebled, it becomes 123. what is that number?
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[Assistant] 18

[User]
a certain number when divided by 899 leaves the remainder 63. find the remainder when the same number is divided by 29.
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[Assistant] 5


[User]
how many positive integers less than 600 can be formed using the numbers 1, 2, 3 and 5 for the digits?
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[Assistant] 84

[User]
in a certain state, the ratio of registered republicans to registered democrats is 3 to 2, and every registered voter is either a republican or a democrat. if 90 percent of the republicans and 15 percent of the democrats are expected to vote for candidate x, and everyone else is expected to vote for candidate y, by what percent is candidate x expected to win the election?
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[Assistant] 20 %

[User]
a man can row downstream at 22 kmph and upstream at 10 kmph. find the speed of the man in still water and the speed of stream respectively?
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[Assistant] 16, 6

[User]
if | 7 x + 2 | = 16, then find the product of the values of x?
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[Assistant] - 5.14

[User]
the cost of an article is decreased by 15 %. if the original cost is $ 80, find the decrease cost.
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[Assistant] 68


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

[User]
the reciprocal of the hcf and lcm of two are 1 / 15 and 1 / 312. if one of the number is 24 then other no. is
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[Assistant] 195

[User]
x and y start a business with rs. 3000 and rs. 6000 respectively. hoe should they share their profits at the end of one year?
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[Assistant] 1 : 2

[User]
in a fuel station the service costs $ 1.75 per car, every liter of fuel costs 0.65 $. assuming that a company owns 12 cars and that every fuel tank contains 60 liters and they are all empty, how much money total will it cost to fuel all cars?
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[Assistant] 489 $

[User]
set x consists of 10 integers and has median of 10 and a range of 10. what is the value of the greatest possible integer that can be present in the set?
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[Assistant] 20


[User]
a boy is traveling from his house to school at 3 km / hr and reached school 9 minutes late. next day he traveled 4 km / hr and reached 6 minutes early. then find the distance between house and school?
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[Assistant] 3 km

[User]
a student chose a number, multiplied it by 2, then subtracted 140 from the result and got 102. what was the number he chose?
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[Assistant] 121

[User]
a can do a work in 15 days and b in 20 days. if they work on it together for 6 days, then the fraction of the work that is left is
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[Assistant] 3 / 10

[User]
a certain quantity is measured on two different scales, the p - scale and the s - scale, that are related linearly. measurements on the p - scale of 6 and 24 correspond to measurements on the s - scale of 30 and 60, respectively. what measurement on the p - scale corresponds to a measurement of 100 on the s - scale?
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[Assistant] 48

[User]
set a contains all the even numbers between 2 and 50 inclusive. set b contains all the even numbers between 102 and 150 inclusive. what is the difference between the sum of elements of set b and the sum of the elements of set a?
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[Assistant] 2500


[User]
a whale goes on a feeding frenzy that lasts for 12 hours. for the first hour he catches and eats 30 kilos of plankton. in every hour after the first, it consumes 2 kilos of plankton more than it consumed in the previous hour. if by the end of the frenzy the whale will have consumed a whopping accumulated total 600 kilos of plankton, how many kilos did he consume on the 10 th hour?
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[Assistant] 48

[User]
the average age of 19 students in a group is 17 years. when teacher ’ s age is included to it, the average increases by one. what is the teacher ’ s age in years?
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[Assistant] 37

[User]
machine x takes 10 hours longer than machine y to produce 1080 widgets. machine y produces 20 percent more widgets in an hour than machine x does in an hour. how many widgets per hour does machine x produce
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[Assistant] 18

[User]
a train is running at a speed of 40 km / hr and it crosses a post in 16.2 seconds. what is the length of the train?
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[Assistant] 160 metres

[User]
a fashion designer sold a pair of jeans to a retail store for 40 percent more than it cost to manufacture the pair of jeans. a customer bought the pair of jeans for 30 percent more than the retailer paid for them. the price the customer paid was what percent greater than the cost of manufacturing the jeans?
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[Assistant] 82 %


[User]
a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. if the area of the field is 720 sq. feet, how many feet of fencing will be required?
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[Assistant] 92

[User]
positive integer y is 50 percent of 50 percent of positive integer x, and y percent of x equals 4. what is the value of x?
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[Assistant] 40

[User]
walking with 3 / 5 of my usual speed, i miss the bus by 5 minutes. what is my usual time?
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[Assistant] 15 min

[User]
[ ( 3.241 x 14 ) / 100 ] =?
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[Assistant] 0.045374

[User]
a person borrows rs. 4000 for 2 years at 4 % p. a. simple interest. he immediately lends it to another person at 6 p. a for 2 years. find his gain in the transaction per year.
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[Assistant] 80 rs


[User]
the sale price of an article including the sales tax is rs. 616. the rate of sales tax is 10 %. if the shopkeeper has made a profit of 12 %, then the cost price of the article is :
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[Assistant] 500

[User]
if 2 log ( 4 * 5 ^ 2 ) = x, find x
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[Assistant] 4

[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. 3 / 4 of the current inventory is speedsters, of which 3 / 5 are convertibles. if there are 30 vehicles that are not speedsters, how many speedster convertibles are there?
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[Assistant] 54

[User]
a rower can row 6 km / h in still water. when the river is running at 1 km / h, it takes the rower 1 hour to row to big rock and back. how many kilometers is it to big rock?
Answer the question using a single word or phrase.

[Assistant] 2.92

[User]
in a stockpile of products produced by 3 machines m 1, m 2 and m 3, 40 % and 30 % were manufactured by m 1 and m 2 respectively. 3 % of the products of m 1 are defective, 1 % of products of m 2 defective, while 93 % of the products of m 3 iii are not defective. what is the percentage of defective in the stockpile?
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[Assistant] 3.6 %


[User]
find the simple interest on $ 3200 for 3 years at 10 % per annum?
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[Assistant] $ 960

[User]
if a person walks at 12 km / hr instead of 8 km / hr, he would have walked 20 km more. the actual distance traveled by him is?
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[Assistant] 40 km

[User]
two different primes may be said torhymearound an integer if they are the same distance from the integer on the number line. for instance, 3 and 7 rhyme around 5. what integer e between 1 and 20, inclusive, has the greatest number of distinct rhyming primes around it?
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[Assistant] e = 18

[User]
a merchant purchased a jacket for $ 60 and then determined a selling price that equalled the purchase price of the jacket plus a markup that was 25 percent of the selling price. during a sale, the merchant discounted the selling price by 20 percent and sold the jacket. what was the merchant ’ s gross profit on this sale?
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[Assistant] $ 4

[User]
a car travels at a speed of 65 miles per hour. how far will it travel in 7 hours?
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[Assistant] 455 miles


[User]
the percentage profit earned by selling an article for rs. 1720 is equal to the percentage loss incurred by selling the same article for rs. 1280. at what price should the article be sold to make 25 % profit?
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[Assistant] 1875

[User]
find the surface area of a 10 cm x 4 cm x 2 cm brick.
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[Assistant] 136 cu cm

[User]
a motorcyclist goes from bombay to pune, a distance of 192 kms at an average of 32 kmph speed. another man starts from bombay by car 2 â ½ hours after the first, and reaches pune â ½ hour earlier. what is the ratio of the speed of the motorcycle and the car?
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[Assistant] 1 : 2

[User]
a certain country is divided into 4 provinces. each province consists entirely of progressives and traditionalists. if each province contains the same number of traditionalists and the number of traditionalists in any given province is 1 / 12 the total number of progressives in the entire country, what fraction of the country is traditionalist?
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[Assistant] 3 / 4

[User]
12.5 * 3.2 * 8.8 =?
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[Assistant] 352


[User]
vishal invested 10 % more than trishul. trishul invested 10 % less than raghu. if the total sum of their investments is rs. 6069, how much amount did raghu invest?
Answer the question using a single word or phrase.

[Assistant] 2100

[User]
a train 125 m long passes a man, running at 7 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] 52

[User]
one - third of rahul's savings in national savings certificate is equal to one - half of his savings in public provident fund. if he has rs. 1, 25,000 as total savings, how much has he saved in public provident fund?
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[Assistant] 50000

[User]
an industrial loom weaves 0.128 metres of cloth every second. approximately, how many seconds will it take for the loom to weave 25 metres of cloth?
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[Assistant] 195

[User]
the sum of two numbers is 45. the sum of their quotient and is reciprocal is 2.05, the product of the numbers is?
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[Assistant] 500


[User]
george went to a fruit market with certain amount of money. with this money he can buy either 50 oranges or 40 mangoes. he retains 15 % of the money for taxi fare and buys 15 mangoes. how many oranges can he buy?
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[Assistant] 17.5

[User]
daal is now being sold at rate rs. 20 a kg. during last month its rate was rs 16 per kg. by how reduce percent should a family its consumption so as to keep the expenditure fixed?
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[Assistant] 20 %

[User]
a certain maroon paint contains 70 percent blue pigment and 30 percent red pigment by weight. a certain green paint contains 10 percent blue pigment and 90 percent yellow pigment. when these paints are mixed to produce a brown paint, the brown paint contains 40 percent blue pigment. if the brown paint weighs 10 grams, then the red pigment contributes how many grams of that weight?
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[Assistant] 1.5

[User]
before 4 years, dog a ’ s age was 4 times of dog b ’ s age and after 4 years, dog a ’ s age will be 3 times of dog b ’ s age. what is the difference of dog a ’ s age and dog b ’ s now?
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[Assistant] 52

[User]
a cricket bat is sold for $ 850, making a profit of $ 225. the profit percentage would be
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[Assistant] 36 %


[User]
what is the least number to be added to 661 to make it a perfect square?
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[Assistant] 15

[User]
joe ’ s average ( arithmetic mean ) test score across 4 equally weighted tests was 40. he was allowed to drop his lowest score. after doing so, his average test score improved to 45. what is the lowest test score that was dropped?
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[Assistant] 25

[User]
the ages of patrick and michael are in the ratio of 3 : 5 and that of michael and monica are in the ratio of 3 : 5. if the sum of their ages is 147, what is the difference between the ages of patrick and monica?
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[Assistant] 48

[User]
if the price of a certain bond on may 1 st was 2 / 3 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] 120 %

[User]
cricket match is conducted in us. the run rate of a cricket game was only 3.2 in first 10 over. what should be the run rate in the remaining 40 overs to reach the target of 252 runs?
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[Assistant] 5.5


[User]
the area of a square is equal to nine times the area of a rectangle of dimensions 121 cm * 144 cm. what is the perimeter of the square?
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[Assistant] 1584 cm

[User]
the credit card and a global payment processing companies have been suffering losses for some time now. a well known company recently announced its quarterly results. according to the results, the revenue fell to $ 48.0 billion from $ 69.0 billion, a year ago. by what percent did the revenue fall?
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[Assistant] 30.4

[User]
a and b started a business investing rs. 90,000 and rs 30,000 respectively. in what ratio the profit earned after 2 years be divided between a and b respectively?
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[Assistant] 3 : 1

[User]
what is the time required for a bike to cover a distance of 450 km with a speed of 90 kmh?
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[Assistant] 5 hours

[User]
how many even multiples of 25 are there between 249 and 501?
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[Assistant] 6


[User]
tanks a and b are each in the shape of a right circular cylinder. the interior of tank a has a height of 8 meters and a circumference of 8 meters, and the interior of tank b has a height of 8 meters and a circumference of 10 meters. the capacity of tank a is what percent of the capacity of tank b?
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[Assistant] 64 %

[User]
in n is a positive integer less than 200, and 14 n / 60 is an integer, then n has how many different positive prime factors c?
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[Assistant] 3

[User]
if the average ( arithmetic mean ) of a and b is 110, and the average of b and c is 150, what is the value of a − c?
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[Assistant] − 80

[User]
the average of marks obtained by 120 boys was 40. if the average of marks of passed boys was 39 and that of failed boys was 15, the number of boys who passed the examination is?
Answer the question using a single word or phrase.

[Assistant] 125

[User]
in a group of 27 junior high school students, 7 take french, 10 take spanish, and 4 take both languages. the students taking both french and spanish are not counted with the 7 taking french or the 10 taking spanish. how many students are not taking either french or spanish?
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[Assistant] 6


[User]
how long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 140 m in length?
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[Assistant] 15

[User]
if the product of two numbers is 51216 and their h. c. f. is 33, find their l. c. m.
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[Assistant] 582

[User]
at an elementary school, 70 % of the faculty members are women and 40 % of the faculty members are married. if 1 ⁄ 3 of the men are single, what fraction of the women are married?
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[Assistant] 2 / 7

[User]
a train which has 300 m long, is running 80 kmph. in what time will it cross a person moving at 16 kmph in same direction?
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[Assistant] 15 sec

[User]
what is the number of integers from 1 to 500 ( inclusive ) that are divisible by neither 10 nor by 15?
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[Assistant] 420


[User]
495 x 495 =?
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[Assistant] 245025

[User]
the average weight of a group of boys is 30 kg. after a boy of weight 33 kg joins the group, the average weight of the group goes up by 1 kg. find the number of boys in the group originally?
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[Assistant] 2

[User]
what is the number of integers from 11 to 1010 ( inclusive ) that are divisible by neither 12 nor by 15?
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[Assistant] 856

[User]
the ages of ashley and mary are in the ratio 4 : 7. the sum of their ages is 22. find the age of mary.
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[Assistant] 14 yrs

[User]
a man is 26 years older than his son. in two years, his age will be twice the age of his son. the present age of the son is?
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[Assistant] 24


[User]
if a 2 + b 2 + c 2 = 250 and ab + bc + ca = 3, then a + b + c is
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[Assistant] 16

[User]
if x is a positive number and 5 the square root of x is equal to x / 25, then x =
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[Assistant] 25

[User]
if sales tax is reduced from 5 % to 4 %, then what difference it will make if you purchase an item of rs. 1000
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[Assistant] 10

[User]
of all the homes on gotham street, 1 / 3 are termite - ridden, and 1 / 4 of these are collapsing. what fraction of the homes are termite - ridden, but not collapsing?
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[Assistant] 1 / 4

[User]
convert 100 miles into yards?
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[Assistant] 176000 yards


[User]
take number 1000 and then add 20 to it. now add 1000 one more time. now add 30. now add 1000 one more time. now add 40. now add 1000 one more time. now add 10. what is the total?
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[Assistant] 4100

[User]
elena ’ s bread recipe calls for 2 ounces of butter for each 5 cups of flour used. she needs to make 4 times the original recipe. if 12 ounces of butter is used, then how many cups of flour are needed?
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[Assistant] 20

[User]
a dog is tied to a tree by a long nylon cord. if the dog runs from the due north side of the tree to the due south side of the tree with the cord extended to its full length at all items, and the dog ran approximately 30 feet, what was the approximate length of the nylon cord l in feet?
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[Assistant] 10

[User]
all factors of a positive integer x are multiplied and the product obtained is x ^ 3. if x is greater than 1, how many factors does x have?
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[Assistant] 6

[User]
mike needs 30 % to pass. if he scored 212 marks and falls short by 19 marks, what was the maximum marks he could have got?
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[Assistant] 770


[User]
the mean of 50 observations was 36. it was found later that an observation 44 was wrongly taken as 23. the corrected new mean is
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[Assistant] 36.42

[User]
the ratio of the length and the width of a rectangle is 4 : 3 and the area of the rectangle is 5292 sq cm. what is the ratio of the width and the area of the rectangle?
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[Assistant] 1 : 84

[User]
is two years older than b who is twice as old as c. if the total of the ages of a, b and c be 27, then how old is b?
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[Assistant] 10

[User]
if a * b = 2 a – 3 b + ab, then 5 * 7 + 7 * 5 is equal to :
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[Assistant] 34

[User]
two family reunions are happening at the park avenue hotel, the oates reunion and the hall reunion. all 100 guests at the hotel attend at least one of the reunions. if 40 people attend the oates reunion and 70 people attend the hall reunion, how many people attend both reunions
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[Assistant] 10


[User]
a whale goes on a feeding frenzy that lasts for 9 hours. for the first hour he catches and eats x kilos of plankton. in every hour after the first, it consumes 4 kilos of plankton more than it consumed in the previous hour. if by the end of the frenzy the whale will have consumed a whopping accumulated total 450 kilos of plankton, how many kilos did he consume on the sixth hour?
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[Assistant] 54

[User]
a waiter's salary consists of his salary and tips. during one week his tips were 9 / 4 of his salary. what fraction of his income came from tips?
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[Assistant] 9 / 13

[User]
the largest 5 digit number exactly divisible by 91 is :
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[Assistant] 99918

[User]
the average age of a husband and his wife was 23 years at the time of their marriage. after 5 years they have a one - year old child. the average age of the family now is :
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[Assistant] 19

[User]
what sum of money put at c. i amounts in 2 years to rs. 8820 and in 3 years to rs. 9261?
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[Assistant] rs. 8000


[User]
the profits of qrs company rose 10 % 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] 32 %

[User]
the amount of principal rs. 4000 at compound interest at the ratio of 10 % p. a. for 3 years is
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[Assistant] rs. 5324

[User]
if 2 x = 3 y = 20, then 12 xy =?
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[Assistant] 800

[User]
when a number is divided by 6 & then multiply by 12 the answer is 12 what is the no.?
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[Assistant] 6

[User]
divide $ 1162 among a, b, c in the ratio 35 : 28 : 20.
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[Assistant] 490, 392,280


[User]
running at their respective constant rate, machine x takes 2 days longer to produce w widgets than machines y. at these rates, if the two machines together produce 5 w / 4 widgets in 3 days, how many days would it take machine x alone to produce 2 w widgets.
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[Assistant] 12

[User]
how long will a boy take to run round a square field of side 60 meters, if he runs at the rate of 9 km / hr?
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[Assistant] 96 sec

[User]
a boat running up stram takes 6 hours to cover a certain distance, while it takes 8 hours to cover the same distance running down stream. what is the ratio between the speed of the boat and the speed of water current respectively?
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[Assistant] 7 : 1

[User]
if a book is sold at 9 % profit instead of 9 % loss, it would have brought rs 9 more. find out the cost price of the book
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[Assistant] 50

[User]
a metallic sheet is of rectangular shape with dimensions 48 m x 36 m. from each of its corners, a square is cut off so as to make an open box. if the length of the square is 8 m, the volume of the box ( in m cube ) is :
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[Assistant] 5120 m cube


[User]
aarti can do a piece of work in 6 days. in how many days will she complete three time of work of same type?
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[Assistant] 18 days

[User]
a man bought an article and sold it at a gain of 5 %. if he had bought it at 5 % less and sold it for re 3 less, he would have made a profit of 10 %. the c. p. of the article was
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[Assistant] 600

[User]
the average ( arithmetic mean ) of 4 positive integers is 45. if the average of 2 of these integers is 45, what is the greatest possible value that one of the other 2 integers can have?
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[Assistant] 89

[User]
if the arithmetic mean of p and q is 10 and the arithmetic mean of q and r is 20, what is the value of r - p?
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[Assistant] 20

[User]
a woman invested $ 1,000, part at 5 % and the rest at 6 %. her total investment with interest at the end of the year was $ 1,052. how much did she invest at 5 %?
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[Assistant] $ 800


[User]
a new tower has just been built at the verbico military hospital ; the number of beds available for patients at the hospital is now 5 times the number available before the new tower was built. currently, 1 / 3 of the hospital's original beds, as well as 1 / 5 of the beds in the new tower, are occupied. for the purposes of renovating the hospital's original wing, all of the patients in the hospital's original beds must be transferred to beds in the new tower. if patients are neither admitted nor discharged during the transfer, what fraction of the beds in the new tower will be unoccupied once the transfer is complete?
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[Assistant] 43 / 60

[User]
what is the probability of having 53 fridays in an ordinary year
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[Assistant] 1 / 7

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

[User]
how many halves are there in 9 - fourth?
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[Assistant] 4.5

[User]
what is the population standard deviation for the numbers : 75, 83, 96, 100, 121 and 125?
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[Assistant] 18.2


[User]
63 small identical cubes are used to form a large cube. how many more cubes are needed to add one top layer of small cube all over the surface of the large cube?
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[Assistant] 153

[User]
there are two tanks a & b with same capacity of 20 litres. if the water inflow rate ( speed ) in tank a is 2 litres per hour & in tank b is 4 litres per hour. how much longer tank a takes to fill than tank b?
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[Assistant] 5 hours

[User]
how many positive integers less than 200 are there such that they are multiples of 13 or multiples of 12?
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[Assistant] 30

[User]
if a / b = 1 / 2, b / c = 5, c / d = 2 / 3, d / e = 1 / 6 and e / f = 2 / 3, then what is the value of abc / def?
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[Assistant] 50 / 729

[User]
a salesperson received a commission of 3 percent of the sale price for each of the first 100 machines that she sold and 4 percent of the sale price for each machine that she sold after the first 100. if the sale price of each machine was $ 10,000 and the salesperson received a $ 40,000 commission, how many machines did she sell?
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[Assistant] 125


[User]
find the average of all the numbers between 6 and 30 which are divisible by 4.
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[Assistant] 18

[User]
in a renowned city, the average birth rate is 8 people every two seconds and the death rate is 6 people every two seconds. estimate the size of the population net increase that occurs in one day.
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[Assistant] 86,400

[User]
in 1970 there were 8,902 women stockbrokers in the united states. by 1978 the number had increased to 24,947. approximately what was the percent increase?
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[Assistant] 180 %

[User]
in may, the groundskeeper at spring lake golf club built a circular green with an area of 70 π square feet. in august, the groundskeeper doubled the distance from the center of the green to the edge of the green. what is the total area of the renovated green?
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[Assistant] 280 π

[User]
find the cost of fencing around a circular field of diameter 30 m at the rate of rs. 5 a meter?
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[Assistant] 471.25


[User]
if x # y is defined to equal x ^ 2 / y for all x and y, then ( - 1 # 2 ) # - 3 =
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[Assistant] - 1 / 12

[User]
39 persons can repair a road in 12 days, working 5 hours a day. in how many days will 15 persons, working 6 hours a day, complete the work?
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[Assistant] 26

[User]
let f ( x ) = x ^ 2 + bx + c. if f ( 1 ) = 0 and f ( - 5 ) = 0, then f ( x ) crosses the y - axis at what y - coordinate?
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[Assistant] - 5

[User]
the circumference of the front wheel of a cart is 30 ft long and that of the back wheel is 40 ft long. what is the distance traveled by the cart, when the front wheel has done five more revolutions than the rear wheel?
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[Assistant] 600 ft

[User]
a leak in the bottom of a tank can empty the full tank in 6 hours. an inlet pipe fills water at the rate of 4.5 liters per minute. when the tank is full in inlet is opened and due to the leak the tank is empties in 8 hours. the capacity of the tank is?
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[Assistant] 6480


[User]
a and b invests rs. 10000 each, a investing for 8 months and b investing for all the 12 months in the year. if the total profit at the end of the year is rs. 5000, find their shares?
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[Assistant] 2000,3000

[User]
a circular path of 12 m radius has marginal walk 2 m wide all round it. find the cost of leveling the walk at 50 p per m 2?
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[Assistant] rs. 81.72

[User]
last year sandy saved 6 % of her annual salary. this year, she made 10 % more money than last year, and she saved 8 % of her salary. the amount saved this year was what percent of the amount she saved last year?
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[Assistant] 147 %

[User]
the length of a rectangle is twice its breadth. if its length is decreased by 10 cm and breadth is increased by 10 cm, the area of the rectangle is increased by 75 sq. cm. what is the length of the rectangle?
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[Assistant] 35 cm

[User]
factory x's bulbs work for over 5000 hours in 78 % of cases, whereas factory y's bulbs work for over 5000 hours in 65 % of cases. it is known that factory x supplies 90 % of the total bulbs available. what is the chance that a purchased bulb will work for longer than 5000 hours?
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[Assistant] 76.7 %


[User]
7 years ago, paula was 3 times as old as karl. in 2 years, paula will be twice as old as karl. what is the sum of their ages now?
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[Assistant] 50

[User]
a certain car dealership sells economy cars, luxury cars, and sport utility vehicles. the ratio of economy to luxury cars is 5 : 4. the ratio of economy cars to sport utility vehicles is 3 : 2. what is the ratio of luxury cars to sport utility vehicles?
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[Assistant] 6 : 5

[User]
a dress on sale in a shop is marked at $ d. during the discount sale its price is reduced by 65 %. staff are allowed a further 60 % reduction on the discounted price. if a staff member buys the dress what will she have to pay in terms of d?
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[Assistant] 0.14 d

[User]
the difference of two numbers is 11. one third of their sum is 7. what are the two numbers?
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[Assistant] 16,5

[User]
75 % of 480 = (? ) x 15?
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[Assistant] none of these


[User]
if a truck is traveling at a constant rate of 54 kilometers per hour, how many seconds will it take the truck to travel a distance of 600 meters? ( 1 kilometer = 1000 meters )
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[Assistant] 40

[User]
what number times ( 1 ⁄ 7 ) ^ 2 will give the value of 7 ^ 3?
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[Assistant] 16,807

[User]
the ratio 2 : 10 expressed as percent equals to
Answer the question using a single word or phrase.

[Assistant] 20 %

[User]
a watch was sold at a loss of 21 %. if it was sold for rs. 140 more, there would have been a gain of 4 %. what is the cost price?
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[Assistant] 560

[User]
at a certain restaurant, the ratio of the number of cooks to the number of waiters is 3 to 8. when 12 more waiters are hired, the ratio of the number of cooks to the number of waiters changes to 1 to 4. how many cooks does the restaurant have?
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[Assistant] 9


[User]
walking at 6 / 7 th of his usual speed, a man is 25 mins too late. his usual time is
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[Assistant] 2.5 hrs

[User]
amit and ananthu can do a work in 15 days and 30 days respectively. amit started the work and left after 3 days. ananthu took over and completed the work. in how many days was the total work completed?
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[Assistant] 27 days

[User]
if a - b = 3 and a ( power 2 ) + b ( power 2 ) = 39, find the value of ab.
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[Assistant] 15

[User]
a cylinder of height h is 2 / 3 of water. when all of the water is poured into an empty cylinder whose radius is 25 percent larger than that of the original cylinder, the new cylinder is 3 / 5 full. the height of the new cylinder is what percent of h?
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[Assistant] 90 %

[User]
a and b together have $ 1210. if of a's amount is equal to of b's amount, what is the ratio between a and b?
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[Assistant] 3 : 2


[User]
the ratio between the perimeter and the width of a rectangle is 5 : 1. if the area of the rectangle is 294 sq. cm, what is the width of the rectangle?
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[Assistant] 14 cm

[User]
express a speed of 108 kmph in meters per second?
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[Assistant] 30 mps

[User]
the ratio of the two natural numbers is 6 : 5. if a certain number is subtracted to both the numbers, the ratio becomes 5 : 4. if the larger number exceeds the smaller number by 5, find the number subtracted?
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[Assistant] 5

[User]
200 is what percent of 50?
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[Assistant] 400 %

[User]
a big container is 30 % full with water. if 54 liters of water is added, the container becomes 3 / 4 full. what is the capacity of the big container?
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[Assistant] 120 liters


[User]
at what rate percent per annum will the simple interest on a sum of money be 6 / 5 of the amount in 10 years?
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[Assistant] 12 %

[User]
if x is real, find the maximum value of the expression - 2 x ^ 2 + 5 x + 7.
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[Assistant] 10.125

[User]
the perimeter of one face of a cube is 40 cm. its volume will be :
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[Assistant] 1000 cm 3

[User]
a starts business with rs. 3500 and after 10 months, b joins with a as his partner. after a year, the profit is divided in the ratio 2 : 3. what is b â € ™ s contribution in the capital?
Answer the question using a single word or phrase.

[Assistant] 31500

[User]
if the personal income tax rate is lowered from 45 % to 30 %, what is the differential savings for a tax payer having an annual income before tax to the tune of $ 48000?
Answer the question using a single word or phrase.

[Assistant] $ 7200


[User]
a trader sells 45 meters of cloth for rs. 4500 at the profit of rs. 12 per metre of cloth. what is the cost price of one metre of cloth?
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[Assistant] rs. 88

[User]
subash can copy 50 pages in 10 hrs. subash and prakash together can copy 300 pages in 40 hours. in how much time prakash can copy 10 pages.
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[Assistant] 4

[User]
two trains are running in opposite directions in the same speed. the length of each train is 120 meter. if they cross each other in 16 seconds, the speed of each train ( in km / hr ) is
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[Assistant] 27

[User]
how much is 80 % of 60 is greater than 4 / 5 of 25?
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[Assistant] 28

[User]
a 6 litre sol is 30 % alcohol. how many litres of pure alcohol must be added to produce a sol that is 50 % alcohol?
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[Assistant] e. 2.4


[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 470 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?
Answer the question using a single word or phrase.

[Assistant] 560

[User]
can you find a 7 digit number which describes itself. the first digit is the number of zeros in the number. the second digit is the number of ones in the number, etc. for example, in the number 21200, there are 2 zeros, 1 one, 2 twos, 0 threes and 0 fours.
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[Assistant] 3211000

[User]
what decimal fraction is 50 ml of a litre?
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[Assistant] . 05

[User]
gary ’ s gas station serves an average of 13 cars per hour on saturdays, 10 cars per hour on sundays, and 9 cars per hour on all other days of the week. if the station is open from 6 a. m. to 10 p. m. every day, how many cars does gary ’ s station serve over the course of a typical week?
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[Assistant] 1,088

[User]
a man's speed with the current is 15 km / hr and the speed of the current is 2.5 km / hr. the man's speed against the current is
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[Assistant] 10 km / hr


[User]
in what time will a train 100 m long cross an electric pole, it its speed be 144 km / hr?
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[Assistant] 2.5 sec

[User]
if r is a positive integer, and r / 15 = 8.2, what is the remainder when r is divided by 15?
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[Assistant] c. 3

[User]
working alone, printers x, y, and z can do a certain printing job, consisting of a large number of pages, in 15, 12, and 18 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] 25 / 12

[User]
what is the 20 - fifth decimal to the right in the fraction 10 / 11?
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[Assistant] 9

[User]
one cutting machine cuts 100 metal bars in 30 minutes. another machine does the same job in 30 seconds. what time will it take if both machines are put on the same work?
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[Assistant] 29.5 seconds


[User]
ab + cd = jjj, where ab and cd are two - digit numbers and jjj is a 3 digit number ; a, b, c, and d are distinct positive integers. in the addition problem above, what is the value of c?
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[Assistant] 9

[User]
8 friends went to a hotel and decided to pay the bill amount equally. but 7 of them could pay rs. 80 each as a result 8 th has to pay rs. 70 extra than his share. find the amount paid by him.
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[Assistant] 160

[User]
if 4 men can colour 48 m long cloth in 2 days, then 8 men can colour 36 m long cloth in
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[Assistant] 0.75 day

[User]
a person lent a certain sum of money at 6 % per annum at simple interest and in 8 years the interest amounted to $ 572 less than the sum lent. what was the sum lent?
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[Assistant] 1100

[User]
a circular ground whose diameter is 35 metres, has a 1.4 metre - broad garden around inside of it. what is the area of the garden in square metres?
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[Assistant] 301.84


[User]
the edges of three metal cubes are 4 cm, 5 cm, and 6 cm respectively. a new cube is made by melting these three cubes together. what is the edge of the new cube ( in centimeters )?
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[Assistant] 7.4

[User]
mr. hernandez, who was a resident of state x for only 8 months last year, had a taxable income of $ 22,500 for the year. if the state tax rate were 10 percent of the year ’ s taxable income prorated for the proportion of the year during which the taxpayer was a resident, what would be the amount of mr. hernandez ’ s state x tax for last year?
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[Assistant] $ 1500

[User]
walking at 3 / 4 of her normal speed, a worker is 12 minutes later than usual in reaching her office. the usual time ( in minutes ) taken by her to cover the distance between her home and her office is
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[Assistant] 36

[User]
if a : b = 4 : 1, then find ( a - 3 b ) / ( 2 a - b )?
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[Assistant] 1 / 7

[User]
log 3 n + log 12 n what is 3 digit number n that will be whole number
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[Assistant] 1728


[User]
the average weight of a, b, c is 45 kg. the avgwgt of a & b be 40 kg & that of b, c be 43 kg. find the wgt of b.
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[Assistant] 31

[User]
the price of a shirt is increased by 15 % and then reduced by 15 %. the final price of the shirt is?
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[Assistant] $ 97.75

[User]
if two integers x, y ( x > y ) are selected from - 3 to 4 ( inclusive ), how many cases are there?
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[Assistant] 28

[User]
in 100 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] 20

[User]
of the people who responded to a market survey, 150 preferred brand x and the rest preferred brand y. if the respondents indicated a preference for brand x over brand y by ratio of 5 to 1, how many people responded to the survey?
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[Assistant] 180


[User]
the h. c. f. of two numbers is 23 and the other two factors of their l. c. m. are 9 and 10. the larger of the two numbers is :
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[Assistant] 230

[User]
a milk man has 15 liters of milk. if he mixes 5 liters of water, which is freely available, in 20 liters of pure milk. if the cost of pure milk is rs. 18 per liter, then the profit of the milkman, when he sells all the mixture at cost price is :
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[Assistant] 20 %

[User]
in a lake, there is a patch of lily pads. every day, the patch doubles in size. it takes 37 days for the patch to cover the entire lake, how many days would it take the patch to cover half of the lake?
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[Assistant] 36

[User]
two trains, one from howrah to patna and the other from patna to howrah, start simultaneously. after they meet, the trains reach their destinations after 64 hours and 25 hours respectively. the ratio of their speeds is?
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[Assistant] 5 : 8

[User]
the total circumference of two circles is 80. if the first circle has a circumference that is exactly twice the circumference of the second circle, then what is the approximate sum of their two radii?
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[Assistant] 10.6


[User]
20 is added to a certain number, the sum is multiplied by 2, the product is divided by 2 and 2 is subtracted from the quotient. the remainder left is half of 88. what is the number?
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[Assistant] 26

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

[User]
a shopkeeper sold an article at $ 100 with 40 % profit. then find its cost price?
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[Assistant] $ 71

[User]
a plant manager must assign 12 new workers to one of five shifts. she needs a first, second, and third shift, and two alternate shifts. each of the shifts will receive 2 new workers. how many different ways can she assign the new workers?
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[Assistant] 23760

[User]
instead of multiplying a number by 5, the number is divided by 10. what is the percentage of error obtained?
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[Assistant] 98 %


[User]
300 metres long yard, 26 trees are palnted at equal distances, one tree being at each end of the yard. what is the distance between 2 consecutive trees
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[Assistant] 12

[User]
one pipe can fill a tank three times as fast as another pipe. if together the two pipes can fill tank in 40 min, then the slower pipe alone will be able to fill the tank in?
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[Assistant] 160

[User]
find the ratio in which rice at rs. 10.0 a kg be mixed with rice at rs. 5.70 a kg to produce a mixture worth rs. 6.30 a kg?
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[Assistant] 3 : 5

[User]
in a 100 m race, sam beats john by 6 seconds. on the contrary, if sam allowed john to start 36 m ahead of sam, then sam and john reach the finishing point at the same time. how long does sam take to run the 100 m race?
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[Assistant] 10.66 seconds

[User]
a bag contains 3 red, 5 yellow and 4 green balls. 3 balls are drawn randomly. what is the probability that balls drawn contain exactly two green balls?
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[Assistant] 12 / 55


[User]
debanshu normally drives to work in 45 minutes at an average speed of 40 miles per hour. this week, however, she plans to bike to work along a route that decreases the total distance she usually travels when driving by 20 %. if debanshu averages between 12 and 16 miles per hour when biking, how many minutes earlier will she need to leave in the morning in order to ensure she arrives at work at the same time as when she drives?
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[Assistant] 75

[User]
if d is the standard deviation a, b, and c, what is the standard deviation of a + 2, b + 2, c + 2?
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[Assistant] d

[User]
at the end of year x, automobile installment credit accounted for 36 % of all outstanding consumer installment credit. at that time automobile finance companies extended $ 75 billion of credit, or 1 / 2 of the automobile installment credit. how many billion dollars of consumer installment credit was outstanding at that time?
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[Assistant] 416.67

[User]
three table runners have a combined area of 204 square inches. by overlapping the runners to cover 80 % of a table of area 175 square inches, the area that is covered by exactly two layers of runner is 24 square inches. what is the area of the table that is covered with three layers of runner?
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[Assistant] 20 square inches

[User]
a flagpole 18 meters high casts a shadow of length 45 meters. if a building under similar conditions casts a shadow of length 55 meters, what is the height of the building ( in meters )?
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[Assistant] 22