Problem
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the instructions state that cheryl needs 3 / 8 square yards of one type of material and 1 / 3 square yards of another type of material for a project . she buys exactly that amount . after finishing the project , however , she has 15 / 40 square yards left that she did not use . what is the total amount of square yards of material cheryl used ?
0general
what number has a 1 : 20 ratio to the number 10 ?
5other
running at the same rate , 8 identical machines can produce 560 paperclips a minute . at this rate , how many paperclips could 10 machines produce in 6 minutes ?
2gain
speed of a boat in standing water is 16 kmph and the speed of the stream is 2 kmph . a man rows to a place at a distance of 7020 km and comes back to the starting point . the total time taken by him is :
1physics
the angle between the minute hand and the hour hand of a clock when the time is 4.20 Β° is
1physics
a man invests some money partly in 9 % stock at 96 and partly in 12 % stock at 120 . to obtain equal dividends from both , he must invest the money in the ratio :
5other
at 6 ' o clock clock ticks 6 times . the time between first and last ticks was 30 sec . how much time it takes at 8 ' o clock .
0general
9 fencers participate in a fencing championship . assuming all competitors have an equal chance of winning , how many possibilities are there with respect to how a first - place and second - place medal can be awarded ?
0general
what is the units digit of 2222 ^ ( 333 ) * 3333 ^ ( 222 ) ?
0general
in a factory , an average of 70 tv ' s are produced per day for the fist 25 days of the months . a few workers fell ill for the next 5 days reducing the daily avg for the month to 68 sets / day . the average production per day for day last 5 days is ?
0general
alex has 4 pens worth of { 22 , 25 , 30 , 40 } , what is the total mean and median of the worth of pens ?
0general
there were 35 students in a hostel . due to the admission of 7 new students , ; he expenses of the mess were increased by rs . 42 per day while the average expenditure per head diminished by rs 1 . what was the original expenditure of the mess ?
0general
1 , 0.5 , 0.5 , 0.75 , 1.5 , ____
0general
what percent of 15 kg is 30 gms ?
2gain
if $ 100 invested at a certain rate of simple interest amounts to $ 140 at the end of 3 years , how much will $ 150 amount to at the same rate of interest in 6 years ?
2gain
the owner of a furniture shop charges his customer 100 % more than the cost price . if a customer paid rs . 1000 for a computer table , then what was the cost price of the computer table ?
2gain
if a father said to his elder son , ` ` i was as old as you are at the present at the time of your birth ' ' . if the father ' s age is 25 years now , what was the son ' s age 4 years back ?
0general
a circle graph shows how the megatech corporation allocates its research and development budget : 13 % microphotonics ; 24 % home electronics ; 15 % food additives ; 29 % genetically modified microorganisms ; 8 % industrial lubricants ; and the remainder for basic astrophysics . if the arc of each sector of the graph is proportional to the percentage of the budget it represents , how many degrees of the circle are used to represent basic astrophysics research ?
2gain
7 , 10.5 , 15.75 , 23.63 , 35.43 , ( . . . )
0general
jim ’ s taxi service charges an initial fee of $ 2.25 at the beginning of a trip and an additional charge of $ 0.25 for each 2 / 5 of a mile traveled . what is the total charge for a trip of 3.6 miles ?
0general
payal finished 2 / 3 of a book . she calculated that she finished 20 more pages than she has yet to read . how long is her book ?
0general
the surface of a cube is 384 sq cm . find its volume ?
3geometry
the tax on a commodity is diminished by 10 % and its consumption increased by 15 % . the effect on revenue is ?
0general
a monkey ascends a greased pole 19 metres high . he ascends 2 metres in first minute and slips down 1 metre in the alternate minute . in which minute , he reaches the top ?
1physics
the length of a rectangle is twice its breadth . if its length is decreased by 5 cm and breadth is increased by 4 cm , the area of the rectangle is increased by 75 sq . cm . find the length of the rectangle .
3geometry
there is a 1 km long wire placed on some number of poles which are in equal distance . if the number of poles is reduced by 1 then the distance of wire between each poles increases 1 ( 2 / 3 ) . how many poles are there initially .
0general
by investing rs . 1620 in 8 % stock , michael earns rs . 135 . the stock is then quoted at :
2gain
the initial price of an article is rs . 2000 which increases 30 % increse in its price in the first year , a 20 % decrease in the second year and a 10 % increase in the next year . what is the final price of the article ?
0general
at what rate percent on simple interest will rs . 750 amount to rs . 900 in 16 years ?
2gain
if there are only 2 wheelers and 4 wheelers parked in a school located at the heart of the city , find the number of 4 wheelers parked there if the total number of wheels is 58 ?
0general
if a coin has an equal probability of landing heads up or tails up each time it is flipped , what is the probability that the coin will land tails up exactly once in 3 consecutive flips ?
4probability
a pipe takes a hours to fill the tank . but because of a leakage it took 2 times of its original time . find the time taken by the leakage to empty the tank
1physics
if the ratio of two number is 5 : 7 and lcm of the number is 320 then what is the number .
5other
find the principle on a certain sum of money at 5 % per annum for 3 1 / 5 years if the amount being rs . 2030 ?
0general
machine a can process 6000 envelopes in 3 hours . machines b and c working together but independently can process the same number of envelopes in 2.5 hours . if machines a and c working together but independently process 3000 envelopes in 1 hour , then how many hours would it take machine b to process 7000 envelopes .
1physics
abcd is a square aegf is a rectangle . . such that the rectangle shares 25 % of the area of the suare also ae lies on the line ab and ag lies on segment of ad . if the square shares half the area of the rectangle what is the ratio ae : ag ?
3geometry
2 cow ’ s and 10 goats are brought for rs . 1500 . if the average price of a goat be rs . 70 . what is the average price of a cow .
0general
if x < y < z and y - x > 5 , where x is an even integer and y and z are odd integers , what is the least possible value f of z - x ?
0general
the ratio of males to females in a class is 2 : 3 . the career preferences of the students in the class are represented in a circle graph . if the area of the graph allocated to each career preference is proportional to the number of students who have that career preference , how many degrees of the circle should be used to represent a career that is preferred by two - thirds of the males and one - third of the females in the class ?
3geometry
last year manfred received 26 paychecks . each of his first 6 paychecks was $ 750 ; each of his remaining paychecks was $ 60 more than each of his first 6 paychecks . to the nearest dollar , what was the average ( arithmetic mean ) amount of his pay checks for the year ?
0general
in the set of positive integers from 1 to 60 , what is the sum of all the odd multiples of 5 ?
0general
a train is 360 meter long is running at a speed of 54 km / hour . in what time will it pass a bridge of 140 meter length ?
1physics
if a certain number is divided by 12 , the quotient , dividend , and divisor , added together , will amount to 64 . what is the number ?
0general
the ages of two persons differ by 24 years . if 5 years ago , the elder one be 5 times as old as the younger one , their present ages ( in years ) are respectively
0general
what is the remainder when the number t = 14 ^ 2 * 15 ^ 8 is divided by 5 ?
0general
the monthly incomes of a and b are in the ratio 5 : 2 . b ' s monthly income is 12 % more than c ' s monthly income . if c ' s monthly income is rs . 15000 , then find the annual income of a ?
5other
if an article is sold at 18 % profit instead of 9 % profit , then the profit would be $ 72 more . what is the cost price ?
2gain
by approximately what percent is x greater than 1 / 3 if ( 2 / 3 ) ( x ) = 1 ?
0general
a train 1500 m long can cross an electric pole in 50 sec and then find the speed of the train ?
1physics
in a certain company 20 % of the men and 40 % of the women attended the annual company picnic . if 35 % of all the employees are men . what % of all the employee went to the picnic ?
2gain
a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 60 sq . feet , how many feet of fencing will be required ?
3geometry
if an integer w is to be chosen at random from the integers 1 to 96 , inclusive , what is the probability that w ( w + 1 ) ( w + 2 ) will be divisible by 8 ?
0general
tickets numbered from 1 to 24 are mixed and then a ticket is selected randomly . what is the probability that the selected ticket bears a number which is a multiple of 3 ?
0general
the difference of two numbers is 20 % of the larger number . if the smaller number is 12 , the larger one is :
2gain
sandy is younger than molly by 14 years . if their ages are in the respective ratio of 7 : 9 , how old is molly ?
5other
carrie likes to buy t - shirts at the local clothing store . they cost $ 8.75 each . one day , she bought 18 t - shirts . how much money did she spend ?
0general
a pharmaceutical company received $ 3 million in royalties on the first $ 20 million in sales of and then $ 8 million in royalties on the next $ 108 million in sales . by approximately what percentage did the ratio of royalties to sales decrease from the first $ 20 million in sales to the next $ 108 million in sales ?
0general
a group of 55 adults and 70 children go for trekking . if there is meal for either 70 adults or 90 children and if 14 adults have their meal , find the total number of children that can be catered with the remaining food .
0general
a batch of cookies was divided amomg 2 tins : 2 / 3 of all the cookies were placed in either the blue or the green tin , and the rest were placed in the red tin . if 1 / 4 of all the cookies were placed in the blue tin , what fraction of the cookies that were placed in the other tins were placed in the green tin
0general
robert ' s salary was decreased by 60 % and subsequently increased by 60 % . how much percentage does he lose ?
0general
a candidate got 34 % of the votes polled and he lost to his rival by 640 votes . how many votes were cast ?
2gain
if x € y = ( x + y ) ^ 2 - ( x - y ) ^ 2 . then √ 11 € √ 11 =
0general
of the people who responded to a market survey , 200 preferred brand x and the rest preferred brand y . if the respondents indicated a preference for brand x over brand y by ratio of 4 to 1 , how many people responded to the survey ?
5other
5358 x 55 = ?
0general
the average of 5 numbers is 7.4 . if one of the numbers is multiplied by a factor of 3 , the average of the numbers increases to 9.2 . what number is multiplied by 3 ?
0general
the average marks obtained by 120 candidates in a certain examination is 35 . find the total marks .
0general
according to the directions on the can of frozen orange juice concentrate , 1 can of concentrate is to be mixed with 3 cans of water to make orange juice . how many 12 ounces cans of the concentrate are required to prepare 280 6 ounces servings of orange juice ?
0general
a box contains either blue or red flags . the total number of flags in the box is an even number . a group of children are asked to pick up two flags each . if all the flags are used up in the process such that 60 % of the children have blue flags , and 45 % have red flags , what percentage of children have flags of both the colors ?
0general
if the perimeter of a rectangular playground is 1200 m , its length when its breadth is 500 m is ?
1physics
a doctor prescribed 18 cubic centimeters of a certain drug to a patient whose body weight was 115 pounds . if the typical dosage is 2 cubic centimeters per 15 pounds of the body weight , by what percent was the prescribed dosage greater than the typical dosage ?
2gain
what is the average ( arithmetic mean ) of all multiples of 10 from 10 to 500 inclusive ?
0general
64 Γ£ β€” 64 Γ£ β€” 64 Γ£ β€” 64 x 64 = 8 ^ ?
0general
a person can swim in still water at 4 km / h . if the speed of water 2 km / h , how many hours will the man take to swim back against the current for 14 km ?
1physics
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 . 15 of money ?
0general
one bottle is half - full of oil and another bottle with twice the capacity is one quarter full of oil . if water is added so that both the bottles are full and the contents of both are then poured into a third bottle that is empty and large enough to hold the contents of both , what fractions of the contents in the third bottle is oil ?
0general
a box contains 12 pairs of shoes ( 24 shoes in total ) . if two shoes are selected at random , what it is the probability that they are matching shoes ?
0general
if 2 ^ 5 , 3 ^ 3 , and 10 ^ 2 are all factors of the product of 936 and w where w is a positive integer , what is the smallest possible value of w ?
0general
how long does a train 130 m long running at the speed of 65 km / hr takes to cross a bridge 150 m length ?
1physics
arun and tarun can do a work in 10 days . after 4 days tarun went to his village . how many days are required to complete the remaining work by arun alone . arun can do the work alone in 60 days .
1physics
in a school with 5 classes , each class has 2 students less then the previous class . how many students are there in the largest class if the total number of students at school is 95 ?
0general
jane and thomas are among the 6 people from which a committee of 3 people is to be selected . how many different possible committees of 3 people can be selected from these 6 people if at least one of either jane or thomas is to be selected ?
4probability
when 1 / 20 % of 4,000 is subtracted from 1 / 10 of 4,000 , the difference is
0general
the average weight of a class is x pounds . when a new student weighing 60 pounds joins the class , the average decreases by 1 pound . in a few months the student ’ s weight increases to 110 pounds and the average weight of the class becomes x + 4 pounds . none of the other students ’ weights changed . what is the value of x ?
0general
if a train , travelling at a speed of 180 kmph , crosses a pole in 5 sec , then the length of train is ?
1physics
if 6 < x < 10 < y < 17 , then what is the greatest possible positive integer difference of x and y ?
0general
9 spheres of the same size are made from melting a solid cylinder of 16 cm diameter and 12 cm height . what is the diameter of each sphere ?
1physics
a survey was sent to 90 customers , 7 of whom responded . then the survey was redesigned and sent to another 63 customers , 9 of whom responded . by approximately what percent did the response rate increase from the original survey to the redesigned survey ?
2gain
a car started running at a speed of 29 km / hr and the speed of the car was increased by 2 km / hr at the end of every hour . find the total distance covered by the car in the first 10 hours of the journey .
1physics
q is as much younger than r as he is older than t . if the sum of the ages of r and t is 50 years . what is definitely the difference between r and q ' s age ?
0general
a deer passed a certain tree at a constant speed of 50 miles per hour while being chased by a cheetah . then , 2 minutes later , the cheetah passed the same tree at a constant speed of 60 miles per hour . if both animals maintained their speeds , how long after the cheetah passed the tree did the cheetah catch up with the deer ?
1physics
a computer manufacturer produces a certain electronic component at a cost of $ 150 per component . shipping costs for delivering the components are $ 1 per unit . further , the manufacturer has costs of $ 19,500 a month related to the electronic component regardless of how many it produces . if the manufacturer produces and sells 250 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 minimum number of tiles of size 16 by 24 required to form a square by placing them adjacent to one another is
3geometry
sandy bought 65 books for $ 1380 from one shop and 55 books for $ 900 from another shop . what is the average price that sandy paid per book ?
0general
the simple interest on rs . 23 for 3 months at the rate of 5 paise per rupeeper month is
2gain
the weight of a glass of jar is 15 % of the weight of the jar filled with coffee beans . after some of the beans have been removed , the weight of the jar and the remaining beans is 60 % of the original total weight . what fraction part of the beans remain in the jar ?
2gain
how many numbers from 10 to 1000 are exactly divisible by 9 ?
0general
in a factory , an average of 50 tv ' s are produced per day for the fist 25 days of the months . a few workers fell ill for the next 5 days reducing the daily avg for the month to 48 sets / day . the average production per day for day last 5 days is ?
0general
pradeep has to obtain 40 % of the total marks to pass . he got 200 marks and failed by 20 marks . the maximum marks are
0general
a batsman makes a score of 56 runs in the 17 th inning and thus increases his averages by 3 . what is his average after 17 th inning ?
0general
if 2 x + y = 6 and x + 2 y = 5 , then ( x + y ) / 3 =
0general