Problem
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a car traveled 462 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city . if the car traveled 3 fewer miles per gallon in the city than on the highway , how many miles per gallon did the car travel in the city ?
1physics
how many multiples of 5 are less than 5000 , and also multiples of 50 ?
0general
solution for 3.15 + . 014 + . 458
0general
a , b and c are entered into a partnership . a invested rs . 6500 for 6 months , b invested rs . 8400 for 5 months and c invested for rs . 10000 for 3 months . a is a working partner and gets 5 % of the total profit for the same . find the share of c in a total profit of rs . 7400 .
2gain
3 , 7,12 , 18,25 . . . . . . . . . . . . . . 9 th terms
0general
if 60 % of ( x - y ) = 30 % of ( x + y ) then what percent of x is y ?
0general
working alone at their respective constant rates , a can complete a task in β€˜ a ’ days and b in β€˜ b ’ days . they take turns in doing the task with each working 2 days at a time . if a starts they finish the task in exactly 10 days . if b starts , they take a day more . how long does it take to complete the task if they both work together ?
1physics
a multiple choice test consists of 4 questions , and each question has 5 answer choices . in how many q ways can the test be completed if every question is unanswered ?
0general
two numbers are in the ratio 3 : 5 . if 9 be subtracted from each , they are in the ratio of 3 : 2 . the first number is :
5other
at a speed of 60 miles per hour , a certain car uses 1 gallon of gasoline every 30 miles . if the car starts with a full 12 gallon tank of gasoline and travels for 5 hours at 60 miles per hour , the amount of gasoline used would be what fraction of a full tank ?
1physics
on a map , 2 inches represent 30 miles . how many miles approximately is the distance if you measured 38 centimeters assuming that 1 - inch is 2.54 centimeters ?
1physics
a is an integer greater than 49 but less than 61 , b is an integer greater than 59 but less than 71 , what is the range of a / b ?
0general
find the value of x , y by solving the below equations x + y = 15 x - y = 5
0general
in a urban village of india named ` ` owlna ' ' , 90 % people have refrigerator , 86 % people have television , 80 % people got computers and 80 % got air - conditionor . how many people ( minimum ) got all these luxury .
0general
the annual interest rate earned by an investment increased by 8 percent from last year to this year . if the annual interest rate earned by the investment this year was 27 percent , what was the annual interest rate last year ?
2gain
if a and b are positive numbers , and a ^ 3 + b ^ 3 = 140 , then the greatest possible value of a is between :
0general
a train 160 m long is running at a speed of 45 km / hr . in what time will it pass a bridge 140 m long ?
1physics
the proportion of water to alcohol in solution a is 4 : 1 and the proportion of water to alcohol in solution b is 2 : 3 . if an equal amount of each solution is mixed together , what is the concentration of alcohol in the new solution ?
0general
at what rate percent on simple interest will rs . 750 amount to rs . 900 in 4 years ?
2gain
if m is not equal to zero , and m + 1 / m = 1 , then what is the value of m ^ 4 + ( 1 / m ) ^ 4 ?
0general
the ratio of money with ram and gopal is 7 : 17 and that with gopal and krishan is 7 : 17 . if ram has rs . 539 , krishan has ?
5other
the price of a cycle is reduced by 25 per cent . the new price is reduced by a further 20 per cent . the two reductions together are equal to a single reduction of
0general
suresh started a business , investing rs . 18000 . after 3 months and 4 months respectively , rohan and sudhir joined him with capitals of 12000 and 9000 . at the end of the year the total profit was rs . 3960 . what is the difference between rohan ’ s and sudhir ’ s share in the profit ?
2gain
in a ratio which is equal to 7 : 9 , if the antecedent is 56 , then the consequent is ?
5other
if 20 % of a certain number is 60 , then what is 80 % of that number ?
2gain
if 2 men or 3 women can reap a field in 5 days how long will 5 men and 6 women take to reap it ?
1physics
a customer went to a shop and paid a total of $ 30 , out of which $ 1.28 was for sales tax on taxable purchases . if the tax rate was 8 % , then what was the cost of the tax free items ?
2gain
2 + 2 + 2 Β² + 2 Β³ . . . + 2 ^ 11
0general
if a number p is prime , and 2 p + 5 = q , where q is also prime , then the decimal expansion of 1 / q will produce a decimal with q - 1 digits . if this method produces a decimal with 166 digits , what is the units digit of the product of p and q ?
0general
walking at 25 % of his usual speed a man takes 24 minutes more to cover a distance . what is his usual time to cover this distance ?
1physics
the lowest number which should be added to 1277 so that the sum is exactly divisible by 3 , 2 , 5 , 4 and 7 is :
0general
father is aged 3 times more than his son ronit . after 8 years , he would be two and half times if ronit ' s age . after further 8 years , how many times would he be of ronit ' s age ?
0general
due to construction , the speed limit along an 12 - 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
the area of sector of a circle whose radius is 12 metro and whose angle at the center is 54 Γ’ Β° is ?
3geometry
by selling 10 pens for a rupee a woman loses 18 % . how many for a rupee should he sell in order to gain 30 % ?
2gain
what is the greatest number of 4 digits which is divisible by 15 , 25 , 40 and 75 ?
0general
a one - foot stick is marked in 1 / 3 and 1 / 4 portion . how many total markings will there be , including the end points ?
0general
a company has a hierarchical system where for every 10 workers , there is one team lead , and for every 3 teams leads , there is one supervisor . if the company has 13 supervisors , how many workers does it have ?
1physics
the ratio between the length and the breadth of a rectangular park is 3 : 2 . if a man cycling along the boundary of the park at the speed of 9 km / hr completes one round in 5 min , then the area of the park ( in sq . m ) is ?
1physics
a train 120 m long is running with a speed of 66 km / hr . in what time will it pass a man who is roller skating at 12 km / hr in the direction opposite to that in which the train is going ?
1physics
paul ' s income is 20 % less than rex ' s income , quentin ' s income is 20 % less than paul ' s income , and sam ' s income is 40 % less than paul ' s income . if rex gave 60 % of his income to sam and 40 % of his income to quentin , quentin ' s new income would be what fraction of sam ' s new income ?
0general
if a * b denotes the greatest common divisor of a and b , then ( ( 20 * 16 ) * ( 18 * 24 ) ) = ?
0general
how many quarters are equal to 2 dollars ?
0general
a person borrows 7000 for 3 years at 6 % p . a . simple interest . he immediately lends it to another person at 31 % p . a . for 3 years . find his gain in the transaction per year .
2gain
david obtained 86 , 85 , 82 , 87 and 85 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology what are his average marks ?
0general
how many of the positive factors of 56 , 96 and how many common factors are there in numbers ?
5other
it takes joey the postman 1 hours to run a 4 mile long route every day . he delivers packages and then returns to the post office along the same path . if the average speed of the round trip is 5 mile / hour , what is the speed with which joey returns ?
1physics
a business executive and his client are charging their dinner tab on the executive ' s expense account . the company will only allow them to spend a total of 50 $ for the meal . assuming that they will pay 7 % in sales tax for the meal and leave a 15 % tip , what is the most their food can cost ?
0general
the sum of present age of abe and the age before 7 years is 37 . find the present age of abe . what will be his age after 7 years ?
0general
a retailer bought a machine at a wholesale price of $ 90 and later on sold it after a 10 % discount of the retail price . if the retailer made a profit equivalent to 20 % of the whole price , what is the retail price w of the machine ?
2gain
how many kg of pure salt must be added to 100 kg of 10 % solution of salt and water to increase it to a 12 % solution ?
0general
what is the total number of integers between 111 and 222 that are divisible by 9 ?
0general
350 is increased by 50 % . find the final number .
2gain
a train 240 m in length crosses a telegraph post in 16 seconds . the speed of the train is ?
1physics
a can do a particular work in 6 days . b can do the same work in 8 days . a and b signed to do it for rs . 2400 . they completed the work in 3 days with the help of c . how much is to be paid to c ?
1physics
because he ’ s taxed by his home planet , mork pays a tax rate of 45 % on his income , while mindy pays a rate of only 15 % on hers . if mindy earned 4 times as much as mork did , what was their combined tax rate ?
2gain
pr is tangent to a circle at point p . q is another point on circle such that pq is diameter of circle and rq cuts circle at m . if radius of circle is 4 units and pr = 6 units . find ratio of triangle pmr to pqr .
3geometry
if n is a natural number , then ( 6 n ^ 2 + 6 n ) is always divisible by :
0general
the h . c . f . of two numbers is 23 and the other two factors of their l . c . m . are 13 and 17 . the larger of the two numbers is :
5other
a rectangular rug with side lengths of 2 feet and 7 feet is placed on a square floor that has an area of 64 square feet . if the surface of the rug does not extend beyond the area of the floor , what fraction of the area of the floor is not covered by the rug ?
3geometry
find the value of ( 55 + 113 / 78 ) Γ— 78
0general
if two typists can type two pages in two minutes , how many typists will it take to type 25 pages in 5 minutes ?
1physics
the total age of a and b is 11 years more than the total age of b and c . c is how many year younger than
0general
n ^ ( n / 2 ) = 2 is true when n = 2 in the same way what is the value of n if n ^ ( n / 2 ) = 12 ?
0general
a sum of money at simple interest amounts to rs . 800 in 3 years and to rs . 850 in 4 years . the sum is :
2gain
according to the directions on a packet of smoothie mix , 1 3 - ounce packet of smoothie mix is to be combined with 19 ounces of water to make a smoothie . how many 3 - ounce packets of smoothie mix are required to prepare 150 12 - ounce smoothies ?
0general
if y is the smallest positive integer such that 4410 multiplied by y is the square of an integer , then y must be
3geometry
if p and q are positive integers each greater than 1 , and 17 ( p + 1 ) = 20 ( q + 1 ) , what is the least possible value of p + q ?
0general
a portion of the 80 % solution of chemicals was replaced with an equal amount of 20 % solution of chemicals . as a result , 50 % solution of chemicals resulted . what part of the original solution was replaced ?
2gain
the maximum number of students among them 1008 pens and 928 pencils can be distributed in such a way that each student get the same number of pens and same number of pencils ?
0general
lilly has 10 fish and rosy has 12 fish . in total , how many fish do they have in all ?
0general
what is the least common multiple of 6 , 18 , and 24 ?
0general
the ratio of number of boys and girls in a school is 2 : 5 . if there are 420 students in the school , find the number of girls in the school ?
5other
a train covers a distance of 100 km in 1 hour . if its speed is decreased by 20 km / hr , the time taken by the car to cover the same distance will be ?
1physics
a bag contains 3 red , 4 black and 2 white balls . what is the probability of drawing a red and a white ball in two successive draws , each ball being put back after it is drawn ?
4probability
last year sandy saved 10 % of her annual salary . this year , she made 10 % more money than last year , and she saved 15 % of her salary . the amount saved this year was what percent of the amount she saved last year ?
2gain
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 t , in cubic meters per minutes , at which the water is flowing into the swimming pool ?
3geometry
the difference between the place values of 7 and 3 in the number 527435 is
0general
15 lts are taken of from a container full of liquid a and replaced with liquid b . again 15 more lts of the mixture is taken and replaced with liquid b . after this process , if the container contains liquid a and b in the ratio 9 : 16 , what is the capacity of the container m ?
0general
a and b together can do a work in 2 days . a alone can do it in 12 days . what time b will take to do the work alone ?
1physics
list k consists of 12 consecutive integers . if - 3 is the least integer in list k , what is the range of the positive integers in list k ?
0general
let a , b , c be distinct digits . consider a two - digit number β€˜ ab ’ and a 3 - digit number β€˜ ccb ’ , both defined under the usual decimal number system , if ( ab ) 2 = ccb > 300 , then the value of b is
0general
a train running at the speed of 60 km / hr crosses a pole in 21 seconds . find the length of the train .
1physics
instead of multiplying a number by 7 , the number is divided by 7 . what is the percentage of error obtained ?
0general
find how many 4 digits no . is less then 1239 such that all 4 digits are distinct .
0general
if a coin is flipped , the probability that the coin will land tails is 1 / 2 . if the coin is flipped 3 times , what is the probability that it will land tails up on the first flip and not on the last 2 flips ?
4probability
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 3 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 360 kilos of plankton , how many kilos did he consume on the sixth hour ?
0general
a factory produces 4340 toys per week . if the workers at this factory work 2 days a week and if these workers make the same number of toys everyday , how many toys are produced each day ?
1physics
at what price must an article costing rs . 47.50 be marked in order that after deducting 9 % from the list price . it may be sold at a profit of 25 % on the cost price ?
2gain
the mean of 50 observations was 36 . it was found later that an observation 34 was wrongly taken as 23 . the corrected new mean is :
0general
in the coordinate plane , line a has a slope of - 1 and an x - intercept of 1 . line b has a slope of 3 and a y - intercept of - 3 . if the two lines intersect at the point ( a , b ) , what is the sum a + b ?
0general
if - 11 and - 8 are negative integers , then - 11 * - 8 + 5 is
0general
if there are 20 apples and the apples have to be shared equally among 3 babies . what number of apples are to be added ?
0general
8 people are planning to share equally the cost of a rental car . if one person withdraws from the arrangement and the others share equally the entire rest of the car , then the share of each of the remaining persons increased by ?
0general
a box contains 3 red balls and 4 black balls . one by one , every ball is selected at random without replacement . what is the probability that the fourth ball selected is black ?
4probability
in kaya ' s teacher ' s desk there are 4 pink highlighters , 2 yellow highlighters , and 5 blue highlighters . how many highlighters are there in all ?
0general
the average weight of 10 person ' s increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg . what is the weight of the new person ?
0general
on a map , 1 inch represents 28 miles . how many z inches would be necessary to represent a distance of 383.6 miles ?
1physics
a train 150 m long is running with a speed of 60 km / hr . in what time will it pass a man who is running at 6 km / hr in the direction opposite to that in which the train is going ?
1physics
the h . c . f . of two numbers is 40 and the other two factors of their l . c . m . are 11 and 15 . the larger of the two numbers is :
5other