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the average of first 6 natural numbers is ? | 0general
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a part - time employee β s hourly wage was increased by 20 % . she decided to decrease the number of hours worked per week so that her total income did not change . by approximately what percent should the number of hours worked be decreased ? | 0general
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the ratio of three numbers is 1 : 2 : 4 and the sum of their squares is 4725 . the sum of the numbers is ? | 5other
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madhav ranks seventeenth in a class of thirtyone . what is his rank from the last ? | 5other
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what positive number , when squared , is equal to the cube of the positive square root of 17 ? | 3geometry
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the cost of an article was rs . 75 . the cost was first increased by 20 % and later on it was reduced by 20 % . the present cost of the article is : | 2gain
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two trains 111 meters and 165 meters in length respectively are running in opposite directions , one at the rate of 100 km and the other at the rate of 120 kmph . in what time will they be completely clear of each other from the moment they meet ? | 1physics
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in how many years will a sum of money be doubled given that the annual interest on it is 10 % ? | 2gain
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rectangle a has sides a and b , and rectangle b has sides c and d . if a / c = b / d = 2 / 5 , what is the ratio of rectangle a β s area to rectangle b β s area ? | 3geometry
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if a boat is rowed downstream for 600 km in 20 hours and upstream for 48 km in 4 hours , what is the speed of the boat and the river ? | 1physics
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a 1200 m long train crosses a tree in 120 sec , how much time will i take to pass a platform 700 m long ? | 1physics
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each of the integers from 0 to 9 , inclusive , is written on a separate slip of blank paper and the ten slips are dropped into a hat . if 4 of the slips are the drawn , without replacement , what is the probability that all 4 have a even number written on it ? | 2gain
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two trains start at same time from two stations and proceed towards each other at the rate of 20 km / hr and 25 km / hr respectively . when they meet , it is found that one train has traveled 70 km more than the other . what is the distance between the two stations ? | 0general
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the average age of 10 men increases by 2 years when two women are included in place of two men of ages 10 and 12 years . find the average age of the women ? | 0general
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a , b , c subscribe rs . 50000 for a business , a subscribes rs . 4000 more than b and b rs . 5000 more than c . out of a total profit of rs . 35000 , c receives : | 0general
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due to construction , the speed limit along an 6 - mile section of highway is reduced from 55 miles per hour to 35 miles per hour . approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ? | 1physics
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a , b and c invested rs . 600 , rs . 800 and rs . 1200 respectively , in a partnership business . find the share of b in profit of rs . 900 after a year ? | 2gain
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a driver would have reduced the time it took to drive from home to the store by 1 / 3 if the average speed had been increased by 21 miles per hour . what was the actual average speed , in miles per hour , when the driver drove from home to the store ? | 0general
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p works 25 % more efficiently than q and q works 50 % more efficiently than r . to complete a certain project , p alone takes 50 days less than q alone . if , in this project p alone works for 60 days and then q alone works for 135 days , in how many days can r alone complete the remaining work ? | 1physics
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find a number such that when 15 is subtracted from 7 times the number , the result is 10 more than twice the number . | 0general
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harkamal purchased 8 kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 45 per kg . how much amount did he pay to the shopkeeper ? | 2gain
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the average monthly income of a and b is rs . 4050 . the average monthly income of b and c is rs . 5250 and the average monthly income of a and c is rs . 4200 . what is the monthly income of a ? | 0general
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a merchant marks his goods up by 40 % and then offers a discount of 15 % on the marked price . what % profit does the merchant make after the discount ? | 2gain
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a rectangular grassy plot 100 m . by 70 m has a gravel path 2.5 m wide all round it on the inside . find the cost of gravelling the path at 90 paise per sq . metre . | 1physics
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a , b and c play a cricket match . the ratio of the runs scored by them in the match is a : b = 4 : 3 and b : c = 4 : 5 . if the total runs scored by all of them are 75 , the runs scored by b are ? | 0general
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the length of a room is 5.5 m and width is 3.75 m . find the cost of paying the floor by slabs at the rate of rs . 800 per sq . metre . | 1physics
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the ages of 2 persons differ by 38 years . if 12 years ago the elder one be 6 times as old as the younger one , find the present age of elder person . | 0general
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the product x of two prime numbers is between 15 and 70 . if one of the prime numbers is greater than 2 but less than 6 and the other is greater than 13 but less than 25 , then x = | 0general
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we define that k @ j is the product of j number from k in increasing order for positive integers k , j . for example , 6 @ 4 = 6 * 7 * 8 * 9 . if a = 2020 and b = 2120 , what is the value r of the ratio a / b ? | 0general
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a candidate got 40 % of the votes polled and he lost to his rival by 5000 votes . how many votes were cast ? | 2gain
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two employees a and b are paid a total of rs . 560 per week by their employer . if a is paid 150 percent of the sum paid to b , how much is b paid per week ? | 0general
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what is the units digit of 17 ^ 83 Γ 13 ^ 82 Γ 11 ^ 87 ? | 0general
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find the lowest common multiple of 10 , 14 and 20 . | 0general
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3034 - ( 1002 / 200.4 ) = ? | 0general
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if 2 x = 3 y = 10 , then 6 xy = ? | 0general
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a cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.6 m and its walls are 5 cm thick . the thickness of the bottom is : | 1physics
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the length of minute hand of a clock is 5.5 cm . what is the area covered by this in 10 minutes | 1physics
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if jake loses 8 pounds , he will weigh twice as much as his sister kendra . together they now weigh 290 pounds . what is jake β s present weight , in pounds ? | 0general
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a , b , k start from the same place and travel in the same direction at speeds of 30 km / hr , 40 km / hr , 80 km / hr respectively . b starts two hours after a . if b and k overtake a at the same instant , how many hours after a did k start ? | 1physics
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in february wilson β s earnings were 40 percent of his family β s total income . in march wilson earned 25 percent less than in february . if the rest of his family β s income was the same in both months , then , in march , wilson β s earnings were approximately what percent x of his family β s total income ? | 0general
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at a garage sale , all of the items were sold at different prices . if the price of a radio sold at the garage sale was both the 16 th highest price and the 23 rd lowest price among the prices of the items sold , how many items were sold at the garage sale ? | 5other
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one hour after yolanda started walking from x to y , a distance of 52 miles , bob started walking along the same road from y to x . if yolanda ' s walking rate was 3 miles per hour and bob Ρ ' s was 4 miles per hour , how many miles had bob walked when they met ? | 1physics
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find the sum the difference between the compound and s . i . on a certain sum of money for 2 years at 10 % per annum is rs . 13 of money ? | 0general
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30 men can do a work in 40 days . when should 10 men leave the work so that the entire work is completed in 40 days after they leave the work ? | 1physics
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two trains of equal lengths take 10 sec and 15 sec respectively to cross a telegraph post . if the length of each train be 120 m , in what time will they cross other travelling in opposite direction ? | 1physics
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what is 990 * 990 ? | 0general
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jill ' s favorite number is even and has some repeating prime factors . john is guessing jills favorite number , and the only hint she gives is that 7 is a prime factor . what is johns best guess ? | 5other
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kamal obtained 76 , 65 , 82 , 67 and 85 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology . what are his average marks ? | 0general
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find the number of factors of 180 that are in the form ( 4 * k + 2 ) , where k is a non - negative integer ? | 0general
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every student of a certain school must play an instrument . in last year , 1 / 2 of the students picked a woodwind instrument , 2 / 5 of the students picked a brass instrument , and all of the other students took percussion . in this year , 1 / 2 of the students who play woodwind and 1 / 4 of the students who play brass instruments left school , other students did not leave , and no fresh student come in . what fraction of all students play either a woodwind or brass instrument ? | 0general
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a cylinder is being filled with sand weighing 200 kg per cubic foot . the cylinder has a diameter of 1 foot and is 5 feet tall . how much sand is being used ? ? | 3geometry
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a can complete the job in 4 hours and b can complete the same job in 3 hours . a works for 1 hour and then b joins and both complete the job . what fraction of the job did b complete | 1physics
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there is food for 760 men for 22 days . how many more men should join after two days so that the same food may last for 16 days more ? | 1physics
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if n = 8 ^ 8 β 8 , what is the units digit of n ? | 0general
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if w is the set of all the integers between 19 and 99 , inclusive , that are either multiples of 3 or multiples of 2 or multiples of both , then w contains how many numbers ? | 5other
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find the curved surface area , if the radius of a cone is 28 m and slant height is 30 m ? | 3geometry
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| 16 - 5 | - | 5 - 12 | = ? | 0general
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if two - third of a bucket is filled in 90 seconds then the time taken to fill the bucket completely will be . | 1physics
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if a tire rotates at 400 revolutions per minute when the car is traveling 120 km / h , what is the circumference of the tire ? | 1physics
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the population of a town increased from 1 , 75000 to 2 , 62500 in a decade . what is the average percent increase of population per year ? | 0general
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10 men do a work in 10 days . how many men are needed to finish the work in 2 days ? | 1physics
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the average age of 35 students in a class is 16 years . the average age of 21 students is 14 . what is the average age of remaining 38 students ? | 0general
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a man can row 8 kmph in still water . if the velocity of the current is 2 kmph and it takes him 2 hours to row to a place and come back . how far is the place ? | 1physics
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if x is equal to the sum of the integers from 20 to 40 , inclusive , and y is the number of even integers from 20 to 40 , inclusive , what is the value of x + y ? | 0general
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the hiker walking at a constant rate of 5 miles per hour is passed by a cyclist traveling in the same direction along the same path at 20 miles per hour . the cyclist stops to wait for the hiker 5 minutes after passing her , while the hiker continues to walk at her constant rate , how many minutes must the cyclist wait until the hiker catches up ? | 1physics
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a tank with a volume of 30 cubic feet has one inlet pipe and 2 outlet pipes . the inlet pipe fills water into the tank at the rate of 5 cubic inches / min and the 2 outlet pipes empty it out at the rates of 9 cubic inches / min and 8 cubic inches / min respectively . if all 3 pipes are opened when the tank is full , how many minutes does it take to empty the tank ? ( 1 foot = 12 inches ) | 1physics
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a train consists of 12 boggies , each boggy 15 metres long . the train crosses a telegraph post in 9 seconds . due to some problem , three boggies were detached . the train now crosses a telegraph post in | 1physics
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a 90 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds . what is the length of the other train ? | 1physics
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with a uniform speed a car covers the distance in 8 hours . had the speed been increased by 2 km / hr , the same distance could have been covered in 7 1 / 2 hours . what is the distance covered ? | 1physics
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a store β s selling price of $ 2240 for a certain computer would yield a profit of 30 percent of the store β s cost for the computer . what selling price would yield a profit of 40 percent of the computer β s cost ? | 2gain
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three table runners have a combined area of 220 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 ? | 3geometry
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the youngest of 4 children has siblings who are 2 , 7 , and 11 years older than she is . if the average ( arithmetic mean ) age of the 4 siblings is 25 , what is the age of the youngest sibling ? | 0general
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addison high school β s senior class has 300 boys and 240 girls . if 60 % of the boys attended the college then 60 % of the total class attended college , what percentage of the girls class attended college ? | 0general
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if 6 ! / 3 ^ x is an integer , what is the greatest possible value of x ? | 0general
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a person walking at 10 kmph reaches his office 10 minutes late . if he walks at 15 kmph , he reaches there 10 minutes earlier . how far is the office from his house ? | 1physics
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running at the same rate , 8 identical machines can produce 560 paperclips a minute . at this rate , how many paperclips could 18 machines produce in 6 minutes ? | 2gain
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two pipes a and b can fill a tank in 25 hours and 35 hours respectively . if both the pipes are opened simultaneously , how much time will be taken to fill the tank ? | 1physics
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tammy climbed a mountain in two days . she spent a total of 14 hours climbing the mountain . on the second day , she walked at an average speed that was half a kilometer per hour faster , but 2 hours less than what she walked on the first day . if the total distance she climbed during the two days is 52 kilometers , how many w kilometers per hour did tammy walk on the second day ? | 1physics
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jolene entered an 14 - month investment contract that guarantees to pay 2 percent interest at the end of 6 months , another 3 percent interest at the end of 12 months , and 4 percent interest at the end of the 18 month contract . if each interest payment is reinvested in the contract , and jolene invested $ 10,000 initially , what will be the total amount of interest paid during the 18 - month contract ? | 2gain
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an isosceles triangle with sides 13 13 10 and there is a circle inscribed it . find the radius of circle ? | 3geometry
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the diagonals of a rhombus are 10 cm and 15 cm . find its area ? | 3geometry
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in a can , there is a mixture of milk and water in the ratio 1 : 5 . if it is filled with an additional 2 litres of milk the can would be full and ratio of milk and water would become 3 : 5 . find the capacity of the can ? | 0general
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each child has 6 crayons and 12 apples . if there are 12 children , how many crayons are there in total ? | 0general
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in a certain school , the ratio of boys to girls is 5 to 17 . if there are 72 more girls than boys , how many boys are there ? | 5other
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a car takes 8 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 ? | 1physics
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in a room with 7 people , 4 people have exactly 1 friend in the room and 3 people have exactly 2 friends in the room ( assuming that friendship is a mutual relationship , i . e . if jane is paul ' s friend , paul is jane ' s friend ) . if two individuals are selected from the room at random , what is the probability that those two individuals are not friends ? | 0general
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assisants are needed to prepare for preparation . each helper can make either 2 large cakes or 35 small cakes / hour . the kitchen is available for 3 hours and 20 large cakes and 700 small cakes are needed . how many helpers are required ? | 5other
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if the perimeter of a rectangular park is 1000 m , its length when its breadth is 200 m is ? | 1physics
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a boat running upstream takes 640 min to cover a certain distance , while it takes 280 min to cover the same distance running down stream . what is the ratio between the speed of the boat and speed of water current respectively ? | 1physics
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f ( 1 ) = 1 , where f ( x + y ) = f ( x ) + f ( y ) + 8 xy - 2 . then f ( 7 ) = ? | 0general
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what is the largest possible value of cc if 5 c + ( d β 12 ) ^ 2 = 235 ? | 0general
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find the cost of fencing around a circular field of diameter 35 m at the rate of rs . 1.50 a meter ? | 1physics
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the sum of all two digit numbers divisible by 5 is | 0general
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at the faculty of aerospace engineering , 312 students study random - processing methods , 222 students study scramjet rocket engines and 112 students study them both . if every student in the faculty has to study one of the two subjects , how many students are there in the faculty of aerospace engineering ? | 5other
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a , b and c started a business with capitals of rs . 8000 , rs . 10000 and rs . 12000 respectively . at the end of the year , the profit share of b is rs . 1700 . the difference between the profit shares of a and c is ? | 2gain
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if the operation ΓΈ is defined for all positive integers x and w by x ΓΈ w = ( 2 ^ x ) / ( 2 ^ w ) then ( 4 ΓΈ 2 ) ΓΈ 2 = ? | 0general
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a rectangular floor is covered by a rug except for a strip 3 meters wide along each of the four edge . if the floor is 12 meters by 10 meters , what is the area of the rug in square meters ? | 3geometry
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if x , y , and z are positive integers , and 2 x = 5 y = 7 z , then the least possible value of x + y + z is | 0general
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on a trip , a cyclist averaged 8 miles per hour for the first 16 miles and 10 miles per hour for the remaining 16 miles . if the cyclist returned immediately via the same route and took a total of 6.8 hours for the round trip , what was the average speed ( in miles per hour ) for the return trip ? | 1physics
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for how many unique pairs of nonnegative integers { a , b } is the equation a ^ 2 - b ^ 2 = 235 true ? | 0general
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