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if the population of a certain country increases at the rate of one person every 15 seconds , by how many persons does the population increase in 1 hour ? | 1physics |
the difference of two numbers is 8 and one - fourth of their sum is 6 . find the numbers . | 0general |
a retailer bought a shirt at wholesale and marked it up 80 % to its initial price of $ 45 . by how many more dollars does he need to increase the price to achieve a 100 % markup ? | 0general |
indu gave bindu rs . 1250 on compound interest for 2 years at 8 % per annum . how much loss would indu has suffered had she given it to bindu for 2 years at 4 % per annum simple interest ? | 2gain |
the ratio between the length and the breadth of a rectangular park is 1 : 2 . if a man cycling along the boundary of the park at the speed of 6 km / hr completes one round in 6 min , then the area of the park ( in sq . m ) is ? | 1physics |
at a certain company , each employee has a salary grade s that is at least 1 and at most 5 . each employee receives an hourly wage p , in dollars , determined by the formula p = 7.50 + 0.25 ( s β 1 ) . an employee with a salary grade of 5 receives how many more dollars per hour than an employee with a salary grade of 1 ? | 0general |
the lateral surface area of cuboid length 12 m , breadth 8 m and height 6 m . | 3geometry |
running at the same constant rate , 6 identical machines can produce a total of 270 bottles per minute . at this rate , how many bottles could 12 such machines produce in 4 minutes ? | 2gain |
of the 400 employees in a certain company , 25 percent will be relocated to city x and the remaining 75 percent will be relocated to city y . however , 40 percent of the employees prefer city y and 60 percent prefer city x . what is the highest possible number of employees who will be relocated to the city they prefer ? | 2gain |
two friends plan to walk along a 22 - km trail , starting at opposite ends of the trail at the same time . if friend p ' s rate is 20 % faster than friend q ' s , how many kilometers will friend p have walked when they pass each other ? | 2gain |
a car traveled 40 % of the way from town x to town y at an average speed of 40 mph . the car traveled at an average speed of v mph for the remaining part of the trip . the average speed for the entire trip was 50 mph . what is v in mph ? | 0general |
the average weight of a , b and c is 45 kg . if the average weight of a and b be 40 kg and that of b and c be 43 kg , what is the weight of b ? | 0general |
bert and rebecca were looking at the price of a condominium . the price of the condominium was 80 % more than bert had in savings , and separately , the same price was also 20 % more than rebecca had in savings . what is the ratio of what bert has in savings to what rebecca has in savings . | 2gain |
of the 1000 inhabitants of a town , 60 % are males of whom 120 % are literate . if , of all the inhabitants , 25 % are literate , then what percent of the females of the town are literate ? | 2gain |
if 4 < x < 6 < y < 10 , then what is the greatest possible positive integer difference of x and y ? | 0general |
a car traveling at a certain constant speed takes 15 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 48 kilometers per hour . at what speed , in kilometers per hour , is the car traveling ? | 1physics |
in a fuel station the service costs $ 1.75 per car , every liter of fuel costs 0.75 $ . assuming that a company owns 12 cars and that every fuel tank contains 55 liters and they are all empty , how much money total will it cost to fuel all cars ? | 0general |
the sum of the first n positive perfect squares , where n is a positive integer , is given by the formula n 3 / 3 + cn 2 + n / 6 , where c is a constant . what is the sum of the first 15 positive perfect squares ? | 0general |
a rectangular farm has to be fenced one long side , one short side and the diagonal . if the cost of fencing is rs . 15 per meter . the area of farm is 1200 m 2 and the short side is 30 m long . how much would the job cost ? | 3geometry |
there are 7 players in a chess group , and each player plays each of the others once . given that each game is played by two players , how many total games will be played ? | 0general |
in a graduating class of 238 students , 144 took geometry and 119 took biology . what is the difference between the greatest possible number and the smallest possible number of students that could have taken both geometry and biology ? | 5other |
the diagonals of a rhombus are 12 cm and 15 cm . find its area ? | 3geometry |
there are 50 students in a class . if 10 % are absent on a particular day , find the number of students present in the class . | 2gain |
the speed at which a woman can row a boat in still water is 300 kmph . if he rows downstream , where the speed of current is 42 kmph , what time will he take to cover 190 metres ? | 1physics |
in a circle with a radius of 6 , what is the area of the biggest rectangle that can be cut out of this circle ? | 3geometry |
the speed of a boat in still water in 42 km / hr and the rate of current is 3 km / hr . the distance travelled downstream in 44 minutes is : | 1physics |
find the total average marks of all the students in 2 separate classes , if the average marks of students in the first class of 39 students is 45 and that of another class of 35 students is 70 . | 0general |
on an order of 4 dozen boxes of a consumer product , a retailer receives an extra dozen free . this is equivalent to allowing him a discount of : | 0general |
in an examination , 300 students appeared . out of these students ; 27 % got first division , 54 % got second division and the remaining just passed . assuming that no student failed ; find the number of students who just passed . | 0general |
x starts a business with rs . 77000 . y joins in the business after 5 months with rs . 42000 . what will be the ratio in which they should share the profit at the end of the year ? | 5other |
what is the % change in the area of a rectangle when its length increases by 10 % and its width decreases by 10 % ? | 3geometry |
on a scale of map , 0.6 cm represent 6.6 km . if the distance between the points on the map is 80.5 cm , the actual distance between these points is : | 1physics |
there are 9 cities numbered 1 to 9 . from how many cities the flight can start so as to reach the city 8 either directly or indirectly such that the path formed is divisible by 3 . | 0general |
find the sum lend at c . i . at 5 p . c per annum will amount to rs . 740 in 2 years ? | 0general |
what will be the compound interest on a sum of rs . 25,000 after 3 years at the rate of 12 % p . a . ? | 2gain |
what is the value of 5 x ^ 2 β 1.9 x β 3.7 for x = β 0.3 ? | 0general |
the income of a man increase consistently by 2 % per year . if his present income is rs . 12000 then what will his income be after 1 year ? | 2gain |
find the largest 2 digit number which is exactly divisible by 88 ? | 0general |
if greg buys 3 shirts , 6 trousers and 4 ties , the total cost is $ 80 . if greg buys 7 shirts , 2 trousers and 4 ties , the total cost is $ 80 . how much will it cost him to buy 5 trousers , 4 shirts and 4 ties ? | 0general |
when a number is divided by 6 & then multiply by 12 the answer is 18 what is the no . ? | 0general |
donovan and michael are racing around a circular 400 - meter track . if donovan runs each lap in 48 seconds and michael runs each lap in 40 seconds , how many laps will michael have to complete in order to pass donovan , assuming they start at the same time ? | 1physics |
a cistern 6 m long and 4 m wide contains water up to a breadth of 1 m 25 cm . find the total area of the wet surface . | 1physics |
65 % of the employees of a company are men . 60 % of the men in the company speak french and 40 % of the employees of the company speak french . what is % of the women in the company who do not speak french ? | 2gain |
a can do a piece of work in 6 days . b can do it in 6 days . with the assistance of c they completed the work in 2 days . find in how many days can c alone do it ? | 1physics |
what is the median of a set of consecutive integers if the sum of nth number from the beginning and nth number from the end is 200 ? | 0general |
57 + 58 = 115 . how many such 2 consecutive numbers are there less than 1500 when added gives a sum which is divisible by 5 ? | 0general |
a is a working partner and b is a sleeping partner in a business . a puts in 60,000 and b 40,000 . a gets 20 % of the profit for managing the business , and the rest is divided in proportion to their capitals . find the share of a in profit of 10000 . | 2gain |
find the compound interest on $ 15,624 for 9 months at 16 % per annum compounded quarterly . | 2gain |
find the probability that a year chosen at random has 53 mondays . | 4probability |
a pair of articles was bought for $ 360 at a discount of 10 % . what must be the marked price of each of the article ? | 2gain |
the compound interest earned by sunil on a certain amount at the end of two years at the rate of 8 % p . a . was rs . 2828.80 . find the total amount that sunil got back at the end of two years in the form of principal plus interest earned | 2gain |
if x ^ 2 + y ^ 2 = 18 and xy = 3 , then ( x β y ) ^ 2 = | 0general |
the diameter of a garden roller is 1.4 m and it is 2 m long . how much area will it cover in 5 revolutions ? ( use Ο = 22 β 7 ) | 0general |
what is the dividend . divisor 16 , the quotient is 8 and the remainder is 4 | 0general |
harold and millicent are getting married and need to combine their already - full libraries . if harold , who has 1 / 2 as many books as millicent , brings 1 / 3 of his books to their new home , then millicent will have enough room to bring 1 / 4 of her books to their new home . what fraction of millicent ' s old library capacity is the new home ' s library capacity ? | 0general |
if a , b and c together can finish a piece of work in 4 days . a alone in 36 days and b in 18 days , then c alone can do it in ? | 1physics |
in a coconut grove , ( x + 1 ) trees yield 60 nuts per year , x trees yield 120 nuts per year and ( x β 1 ) trees yield 180 nuts per year . if the average yield per year per tree be 100 , find x . | 0general |
three numbers are in the ratio 3 : 4 : 5 and their l . c . m . is 2400 . their h . c . f is ? | 5other |
the area of a circular field is 17.56 hectares . find the cost of fencing it at the rate of rs . 3 per metre approximately | 3geometry |
a certain no . whendivided by 35 leaves a remainder 25 , what is the remainder if the same no . be dividedby 15 ? | 0general |
. on dividing a number by 357 , we get 36 as remainder . on dividing the same number 17 , what will be the remainder ? | 0general |
there is a point p on the circle . a and b started running in two constant different speeds . a in clockwise and b in anti - clockwise . first time 500 m in clockwise from p then 400 anti - clockwise . if b is yet to complete one round , what is the circumference of the circle ? | 1physics |
carina has 55 ounces of coffee divided into 5 - and 10 - ounce packages . if she has 2 more 5 - ounce packages than 10 - ounce packages , how many 10 - ounce packages does she have ? | 0general |
how many two - digit numbers yield a remainder of 2 when divided by both 5 and 16 ? | 0general |
a computer manufacturer produces a certain electronic component at a cost of $ 50 per component . shipping costs for delivering the components are $ 8 per unit . further , the manufacturer has costs of $ 16,000 a month related to the electronic component regardless of how many it produces . if the manufacturer produces and sells 200 components a month , what is the lowest price it can sell them for such that the costs do n ' t exceed the revenues ? | 0general |
the area of an isosceles trapezoid with sides of length 5 and bases of length 8 and 14 is ? | 3geometry |
a rope of which a calf is tied is increased from 15 m to 18 m , how much additional grassy ground shall it graze ? | 0general |
the radius of a circle is increased by 1 % . find how much % does its area increases ? | 3geometry |
in gabriel ' s sheep herd , every sheep has either fleas or lice or both . half of the sheep have lice , and 84 sheep have both pests . if 94 sheep have lice , how many sheep have only fleas ? | 5other |
tanks a and b are each in the shape of a right circular cylinder . the interior of tank a has a height of 7 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 ? | 1physics |
the speed of a subway train is represented by the equation z = s ^ 2 + 2 s for all situations where 0 β€ s β€ 7 , where z is the rate of speed in kilometers per hour and s is the time in seconds from the moment the train starts moving . in kilometers per hour , how much faster is the subway train moving after 6 seconds than it was moving after 3 seconds ? | 1physics |
notebooks are sold in packages of 4 or 7 only . if wilson bought 69 notebooks exactly , what could be the number of large packs wilson bought ? | 0general |
a person lent a certain sum of money at 4 % per annum at simple interest and in 8 years the interest amounted to rs . 340 less than the sum lent . what was the sum lent ? | 2gain |
a total of 40 percent of the geese included in a certain migration study were male . if some of the geese migrated during the study and 20 percent of the migrating geese were male , what was the ratio of the migration rate for the male geese to the migration rate for the female geese ? [ migration rate for geese of a certain sex = ( number of geese of that sex migrating ) / ( total number of geese of that sex ) ] | 0general |
a contractor isengaged for 30 days on the condition that he receives rs . 25 for eachday he works & fined rs . 7.50 for each day is absent . he gets rs . 425 in all . for how many days was heabsent ? | 1physics |
a garrison of 2000 men has provisions for 54 days . at the end of 15 days , a reinforcement arrives , and it is now found that the provisions will last only for 30 days more . what is the reinforcement ? | 1physics |
the ages of two person differ by 20 years . if 4 years ago , the elder one be 5 times as old as the younger one , their present ages ( in years ) are respectively | 0general |
28 machines can do a work in 10 days . how many machines are needed to complete the work in 40 days ? | 1physics |
sandy buys an old scooter for $ 800 and spends $ 200 on its repairs . if sandy sells the scooter for $ 1400 , what is the gain percent ? | 2gain |
a jogger running at 9 kmph alongside a railway track in 240 meters ahead of the engine of a 120 metres long train running at 45 kmph in the same direction . in how much time will the train pass the jogger ? | 1physics |
a woman complete a journey in 15 hours . she travels first half of the journey at the rate of 21 km / hr and second half at the rate of 24 km / hr . find the total journey in km . | 1physics |
how many 3 - digit integers exist such that all their digits are odd ? | 0general |
matt gets a $ 1,300 commission on a big sale . this commission alone raises his average commission by $ 150 . if matt ' s new average commission is $ 400 , how many sales has matt made ? | 0general |
a train speeds past a pole in 15 seconds and a platform 100 meter long in 25 seconds . what is length of the train ? | 1physics |
25 % of 30 % of 45 % is equal to ? | 2gain |
a student reached his school late by 20 mins by travelling at a speed of 9 kmph . if he had travelled at a speed of 12 kmph , he would have reached his school 20 mins early . what is the distance between house and school ? | 1physics |
the volume of a rectangular swimming pool is 840 cubic meters and water is flowing into the swimming pool . if the surface level of the water is rising at the rate of 0.5 meters per minute , what is the rate w , in cubic meters per minutes , at which the water is flowing into the swimming pool ? | 3geometry |
the sum of four consecutive even numbers is 292 . what would be the smallest number ? | 1physics |
a student is ranked 13 th from right and 8 th from left . how many are there ? | 0general |
how many 4 - digit odd numbers do not use any digit more than once ? | 0general |
revenues were recorded for store a and store b over a period of 3 months . in the first month , store a ' s revenues were $ 12000 higher than store b ' s revenues . in the second month , store a ' s revenues were $ 8000 higher than store b ' s revenues . if store a ' s average ( arithmetic mean ) monthly revenue for the 3 months was $ 2000 greater than store b ' s average monthly revenue , then store b ' s revenue in the third month was how much greater than store a ' s revenue ? | 0general |
a is older than b by 5 years . 7 years hence , thrice a ' s age shall be equal to 4 times that of b . find their present ages . | 0general |
three numbers are in the ratio 3 : 4 : 5 and their l . c . m is 2400 . their h . c . f is ? | 5other |
what is x if x + 2 y = 20 and y = 5 ? | 0general |
a certain experimental mathematics program was tried out in 2 classes in each of 34 elementary schools and involved 40 teachers . each of the classes had 1 teacher and each of the teachers taught at least 1 , but not more than 3 , of the classes . if the number of teachers who taught 3 classes is n , then the least and greatest possible values of n , respectively , are | 0general |
nicky and cristina are running a race . since cristina is faster than nicky , she gives him a 48 meter 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 ? | 1physics |
a walks at 10 kmph and 6 hours after his start , b cycles after him at 20 kmph . how far from the start does b catch up with a ? | 1physics |
how many words , with or without meaning , can be formed using all letters of the word sharp using each letter exactly once ? | 0general |
mary works in a restaurant a maximum of 80 hours . for the first 20 hours , she is paid $ 8 per hour . for each overtime hour , she is paid at a rate which is 25 % higher than her regular rate . how much mary can earn in a week ? | 2gain |
if 2 x + y = 4 and x + 2 y = 5 , then ( x + y ) / 3 = | 0general |
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