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excluding stoppages , the speed of a train is 54 kmph and including stoppages it is 40 kmph . of how many minutes does the train stop per hour ?
1physics
a train 385 meters long is running with a speed of 60 kmph . in what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ?
1physics
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 15 percent more than the retailer paid for them . the price the customer paid was what percent greater than the cost of manufacturing the jeans ?
2gain
a mixture contains alcohol and water in the ratio 4 : 3 . if 9 litres of water is added to the mixture , the ratio becomes 4 : 5 . find the quantity of alcohol in the given mixture
0general
if 12 men or 20 women can do a piece of work in 54 days , then in how many days can 9 men and 39 women together do the work ?
1physics
in an election , candidate a got 79 % of the total valid votes . if 15 % of the total votes were declared invalid and the total numbers of votes is 560000 , find the number of valid vote polled in favour of candidate .
2gain
if a car had traveled 35 kmh faster than it actually did , the trip would have lasted 30 minutes less . if the car went exactly 105 km , at what speed did it travel ?
1physics
the base of pyramid p is an isosceles right triangle whose leg is 3 . if the height of p is 4 , what is the volume of p ?
3geometry
10 % people of a village in sri lanka died by bombardment , 15 % of the remainder left the village on account of fear . if now the population is reduced to 6514 , how much was it in the beginning ?
0general
if each year the population of the country grows by 10 % , how many years will elapse before the population of the country doubles ?
2gain
5 percent of a certain grass seed is timothy . if the amount of the mixture needed to plant one acre contains 2 pounds of timothy , how many acres can be planted with 600 pounds of the seed mixture ?
2gain
we invested a total of $ 1,000 . we invested one part of the money at 5 % and the rest of the money at 6 % . the total investment with interest at the end of the year was $ 1 , 054.50 . how much money did we invest at 5 % ?
2gain
the average of 1 st 3 of 4 numbers is 16 and of the last 3 are 15 . if the sum of the first and the last number is 19 . what is the last numbers ?
0general
if two integers x , y ( x > y ) are selected from - 10 to 5 ( inclusive ) , how many possible cases are there ?
4probability
a cistern 8 m long and 6 m wide contains water up to a depth of 1 m 25 cm . the total area of the wet surface is :
1physics
in a certain accounting class of 90 students , 70 % of the students took the final exam on the assigned day while the rest of the students took the exam on a make - up date . if the students on the assigned day had an average score of 60 % , and the students on the make - up date had an average score of 70 % , what was the average score for the entire class ?
0general
a sum fetched a total simple interest of 4016.25 at the rate of 9 % . p . a . in 5 years . what is the sum ?
2gain
a bag consists of 20 marbles , of which 5 are blue , 9 are red , and the remainder are white . if lisa is to select a marble from the bag at random , what is the probability that the marble will be red or white ?
4probability
how many different positive integers exist between 10 ^ 6 and 10 ^ 7 , the sum of whose digits is equal to 2 ?
0general
john distributes his pencil among his 4 friends rose , mary , ranjan , and rohit in the ratio 1 / 1 : 1 / 3 : 1 / 4 : 1 / 5 . what is the minimum no . of pencils that the person should have ?
5other
a sum of rs . 1550 was lent partly at 5 % and partly at 8 % p . a . simple interest . the total interest received after 3 years was rs . 300 . the ratio of the money lent at 5 % to that lent at 8 % is :
2gain
a certain library assesses fines for overdue books as follows . on the first day that a book is overdue , the total fine is $ 0.20 . for each additional day that the book is overdue , the total fine is either increased by $ 0.30 or doubled , whichever results in the lesser amount . what is the total for a book on the third day it is overdue ?
0general
a part - time employee ’ s hourly wage was increased by 15 % . 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
if y is 60 % greater than x , than x is what % less than y ?
0general
a student gets 50 % in one subject , 70 % in the other . to get an overall of 70 % how much should get in third subject .
2gain
the product of two successive numbers is 2652 . which is the smaller of the two numbers ?
0general
a sum of money deposited at c . i . amounts to rs . 2560 in 3 years and to rs . 2989 in 4 years . find the rate percent ?
2gain
if k is a non - negative integer and 30 ^ k is a divisor of 929,260 then 3 ^ k - k ^ 3 =
0general
a particular store purchased a stock of turtleneck sweaters and marked up its cost by 20 % . during the new year season , it further marked up its prices by 25 % of the original retail price . in february , the store then offered a discount of 18 % . what was its profit on the items sold in february ?
2gain
in an election between two candidates , one got 55 % of the total valid votes , 20 % of the votes were invalid . if the total number of votes was 5500 , the number of valid votes that the other candidate got , was :
2gain
there are 7 players in a bowling team with an average weight of 103 kg . if two new players join the team , one weighs 110 kg and the second weighs 60 kg , what will be the new average weight ?
0general
find the average of all numbers between 3 and 86 which are divisible by 5
0general
if the annual increase in the population of a town is 10 % and the present number of people is 14000 , what will the population be in 2 years ?
2gain
the average of 21 numbers is 44 . average of the first 11 of them is 48 and that of the last 11 is 41 . find the 11 th number ?
0general
a train running at the speed of 30 km / hr crosses a pole in 9 sec . what is the length of the train ?
1physics
three unbiased coins are tossed , what is the probability of ge ƫ ng at least 2 tails ?
4probability
in the next cricket world cup t - 20 , team t has decided to score 200 runs only through 4 s and 6 s . in how many ways can the team t score these 200 runs ?
0general
for each 6 - month period during a light bulb ' s life span , the odds of it not burning out from over - use are half what they were in the previous 6 - month period . if the odds of a light bulb burning out during the first 6 - month period following its purchase are 1 / 5 , what are the odds of it burning out during the period from 6 months to 1 year following its purchase ?
0general
the perimeter of an isosceles right triangle is 8 + 8 sq rt 2 . what is the length of the hypotenuse of the triangle ?
3geometry
when x is multiplied by 3 , the result is 18 more than the result of subtracting x from 26 . what is the value of x ?
0general
a bag contains 5 red , 6 blue and 2 green balls . if 2 ballsare picked at random , what is the probability that both are red ?
5other
find the value of x . ( 47 % of 1442 - 36 % of 1412 ) + 61 = x ?
0general
the maximum number of students among them 100 pens and 50 pencils can be distributed in such a way that each student get the same number of pens and same number of pencils ?
0general
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 95 students ?
0general
rahul travels from a to b a distance of 200 miles in 5 hours . he returns to a in 4 hours . find his average speed ?
1physics
if 5 x * x + 14 * x + k = 0 having two reciprocal roots find the value of k .
0general
a watch was sold at a loss of 15 % . if it was sold for rs . 400 more , there would have been a gain of 5 % . what is the cost price ?
2gain
meena wrote all the numbers from 1 to 49,999 inclusive . how many digits did she write in total ?
0general
the ratio of investments of two partners p and q is 7 : 5 and the ratio of their profits is 7 : 12 . if p invested the money for 5 months , find for how much time did q invest the money ?
2gain
two employees x and y are paid a total of rs . 770 per week by their employer . if x is paid 120 percent of the sum paid to y , how much is y paid per week ?
0general
how many positive integers less than 300 can be formed using the numbers 1 , 2 , 3 and 5 for the digits ?
4probability
if 3 is one solution of the equation x ^ 2 + 3 x + k = 10 , where k is a constant , what is the other solution ?
0general
a starts business with rs . 35,000 and after 5 months , b joins with a as his partner . after a year , the profit is divided in the ratio 2 : 3 . what is b ’ s contribution in the capital ?
5other
a person want to give his money of $ 600 to his 3 children a , b , c in the ratio 1 : 2 : 3 . what is the b + c share ?
5other
if the area of a square with sides of length 7 centimeters is equal to the area of a rectangle with a width of 4 centimeters , what is the length of the rectangle , in centimeters ?
3geometry
a baker makes chocolate cookies and peanut cookies . his recipes allow him to make chocolate cookie in batches of 7 and peanut cookies in batches of 6 . if he makes exactly 98 cookies , what is the minimum number of chocolate chip cookies he makes ?
0general
the tax on a commodity is diminished by 30 % but its consumption is increased by 15 % . find the decrease percent in the revenue derived from it ?
0general
two trains 137 meters and 163 meters in length are running towards each other on parallel lines , one at the rate of 42 kmph and another at 48 kmpb . in what time will they be clear of each other from the moment they meet
1physics
arnold and danny are two twin brothers that are celebrating their birthday . the product of their ages today is smaller by 17 from the product of their ages a year from today . what is their age today ?
0general
a bowl contains equal numbers of red , orange , green , blue , and yellow candies . kaz eats all of the green candies and half of the orange ones . next , he eats half of the remaining pieces of each color . finally , he eats red and yellow candies in equal proportions until the total number of remaining candies of all colors equals 30 % of the original number . what percent of the red candies remain ?
0general
mixture a is 10 percent alcohol , and mixture b is 40 percent alcohol . if the two are poured together to create a 4 - gallon mixture that contains 20 percent alcohol , approximately how many gallons of mixture a are in the mixture ?
0general
rs . 100 amounts to rs . 320 in 4 years at simple interest . if the interest is increased by 3 % , it would amount to how much ?
2gain
a family has two children . find the probability that both the children are girls given that at least one of them is a girl ?
5other
two good train each 650 m long , are running in opposite directions on parallel tracks . their speeds are 45 km / hr and 30 km / hr respectively . find the time taken by the slower train to pass the driver of the faster one .
1physics
1 , 3,5 , 7,9 , . . 50 find term of sequnce for this ?
0general
he total marks obtained by a student in physics , chemistry and mathematics is 130 more than the marks obtained by him in physics . what is the average mark obtained by him in chemistry and mathematics ?
0general
the tax on a commodity is diminished by 10 % and its consumption increased by 20 % . the effect on revenue is ?
0general
4 , 12 , 48 , 240 , 1440 , ( . . . )
0general
a salesman gets commission on total sales at 9 % . if the sale is exceeded rs . 10000 he gets an additional commission as bonus of 3 % on the excess of sales over rs . 10000 . if he gets total commission of rs . 1380 , then the bonus he received is :
0general
a work can be finished in 20 days by 10 women . the same work can be finished in fifteen days by 20 men . the ratio between the capacity of a man and a woman is
1physics
the length of a train and that of a platform are equal . if with a speed of 216 k / hr , the train crosses the platform in one minute , then the length of the train ( in meters ) is ?
1physics
if it takes a machine 4 ⁄ 5 minute to produce one item , how many items will it produce in 2 hours ?
1physics
a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 120 sq . feet , how many feet of fencing will be required ?
3geometry
what is the units digit of 31 ! + 50 ! + 2 ! + 3 ! ?
5other
what is the smallest positive integer x such that 520 - x is the cube of a positive integer
0general
if equation | x / 2 | + | y / 2 | = 2 encloses a certain region on the coordinate plane , what is the area of this region ?
0general
find the area of a rhombus one side of which measures 20 cm and one diagonal is 25 cm .
3geometry
what is the smallest integer k for which 64 ^ k > 4 ^ 22 ?
0general
the number 0.8 is how much greater than 1 / 8 ?
0general
if the radius of a circle is decreased by 50 % , find the percentage decrease
2gain
guadalupe owns 2 rectangular tracts of land . one is 300 m by 500 m and the other is 250 m by 630 m . the combined area of these 2 tracts is how many square meters ?
3geometry
the difference between the place values of 9 and 4 in the number 927435 is
0general
a certain hobby shop sold model cars for $ 5.00 each and model trains for $ 8.00 each . if a customer purchased both cars and trains from the store for a total of $ 31.00 , what total number of cars and trains did the customer purchase ?
5other
a company has 15 managers and 75 associates . the 15 managers have an average salary of $ 180,000 . the 75 associates have an average salary of $ 30,000 . what is the average salary for the company ?
0general
john and david work at a hospital with 10 other workers . for an internal review , 2 of the 10 workers will be randomly chosen to be interviewed . what is the probability that john and david will both be chosen ?
1physics
in a two - digit , if it is known that its unit ' s digit exceeds its 10 ' s digit by 2 and that the product of the given number and the sum of its digits is equal to 144 , then the number is ?
0general
mrs . evans gave a test to her freshmen economics class , which has 30 students enrolled and 25 of them answered question 1 correctly . if 22 answered question 2 correctly and 5 did not take the test then how many answered both questions correctly ?
5other
what is the smallest number which when diminished by 12 , is divisible 8 , 12 , 22 and 24 ?
0general
k is a 3 digit number such that the the ratio of the number to the sum of its digits is least . what is the difference between the hundreds and tens digit ?
0general
♠ n denotes the number obtained when n is rounded to the nearest tenth . for example ♠ 4.31 = 4.3 ♠ 2.423 - ♠ 3.421 =
0general
if 1 tic equals 5 tacs and 2 tacs equal 8 tocs , what is the ratio of one tic to one toc ?
5other
one hour after yolanda started walking from x to y , a distance of 65 miles , bob started walking along the same road from y to x . if yolanda â s walking rate was 5 miles per hour and bob â s was 7 miles per hour , how many miles had bob walked when they met ?
1physics
if 30 % of 100 is greater than 50 % of a number by 10 , then the number is ?
2gain
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
at a speed of 40 miles per hour , a certain car uses 1 gallon of gasoline every 40 miles . if the car starts with a full 12 gallon tank of gasoline and travels for 5 hours at 40 miles per hour , the amount of gasoline used would be what fraction of a full tank ?
1physics
niharika covers a distance in 30 min , if she drives at a speed of 60 km / h on an average . find the speed at which she must drive at to reduce the time of the journey by 30 % .
0general
rahul ' s housing colony have one tap , working alone at its maximum constant rate , can fill a certain tank in 230 seconds . a second tap , working alone at its maximum constant rate , can fill the same tank in 234 seconds . if both taps work together at their respective maximum constant rates , the time it will take to fill the tank is closest to
1physics
a certain junior class has 1,000 students and a certain senior class has 600 students . among these students , there are 60 siblings pairs , each consisting of 1 junior and 1 senior . if 1 student is to be selected at random from each class , what is the probability that the 2 students selected at will be a sibling pair ?
4probability
what is the remainder when 8 ^ 1 + 8 ^ 2 + 8 ^ 3 + . . . + 8 ^ 9 is divided by 2 ?
0general
a can do a work in 20 days , b in 30 days . a alone start the work after 10 days he left work . in how many days b can finish the work ?
1physics