Problem
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the average age of a group of 10 persons was decreased by 3 years when one person , whose age was 42 years , was replaced by a new person . find the age of the new person ?
0general
what is the sum of the squares of the first 20 natural numbers ( 1 to 20 ) ?
3geometry
the average of 9 observations was 7 , that of the 1 st of 5 being 10 and that of the last 5 being 8 . what was the 5 th observation ?
0general
the guests at a football banquet consumed a total of 319 pounds of food . if no individual guest consumed more than 2 pounds of food , what is the minimum number of guests that could have attended the banquet ?
0general
8 persons can build a wall 140 m long in 42 days . in how many days can 30 persons complete a similar wall 100 m long ?
1physics
what is the prime factors ’ number of 48 ?
5other
in a group of cows and hens , the number of legs are 20 more than twice the number of heads . the number of cows is
0general
the compound interest on a sum of money for 2 years is rs . 832 and the simple interest on the same sum for the same period is rs . 800 . the difference between the compound interest and simple interest for 3 years
0general
if 5 ^ 21 x 4 ^ 11 = 2 x 10 ^ n . what is the value of n ?
0general
from below option 51 is divisible by which one ?
0general
each child has 2 pencils and 13 skittles . if there are 11 children , how many pencils are there in total ?
0general
. a car covers a distance of 390 km in 4 hours . find its speed ?
1physics
find the sum of all 3 digit natural numbers , which are divisible by 8
0general
a man buys 25 lts of liquid which contains 20 % of the liquid and the rest is water . he then mixes it with 25 lts of another mixture with 30 % of liquid . what is the % of water in the new mixture ?
2gain
find the perimeter and area of the rectangle of length 17 cm and breadth 13 cm .
3geometry
john left home and drove at the rate of 45 mph for 2 hours . he stopped for lunch then drove for another 3 hours at the rate of 55 mph to reach his destination . how many miles did john drive ?
1physics
a contractor is engaged for 30 days on the condition thathe receives rs . 25 for each day he works & is fined rs . 7.50 for each day is absent . he gets rs . 555 in all . for how many days was he absent ?
1physics
a does 4 / 5 th of a work in 20 days . he then calls in b and they together finish the remaining work in 3 days . how long b alone would take to do the whole work ?
1physics
a and b can do a work in 12 days and 36 days respectively . if they work on alternate days beginning with b , in how many days will the work be completed ?
1physics
a train , 140 meters long travels at a speed of 45 km / hr crosses a bridge in 30 seconds . the length of the bridge is
1physics
if 12 : 18 : : x : 9 , then find the value of x
0general
an error 2 % in excess is made while measuring the side of asquare . the % of error in the calculated area of the square is ?
3geometry
a can do a piece of work in 30 days ; b can do the same in 30 days . a started alone but left the work after 10 days , then b worked at it for 10 days . c finished the remaining work in 10 days . c alone can do the whole work in ?
1physics
the distance between towns a and b is 300 km . one train departs from town a and another train departs from town b , both leaving at the same moment of time and heading towards each other . we know that one of them is 10 km / hr faster than the other . find the speeds of both trains if 2 hours after their departure the distance between them is 40 km .
1physics
tom read a book containing 480 pages by reading the same number of pages each day . if he would have finished the book 2 days earlier by reading 16 pages a day more , how many days did tom spend reading the book ?
0general
a textile manufacturing firm employees 70 looms . it makes fabrics for a branded company . the aggregate sales value of the output of the 70 looms is rs 00000 and the monthly manufacturing expenses is rs 1 , 50000 . assume that each loom contributes equally to the sales and manufacturing expenses are evenly spread over the number of looms . monthly establishment charges are rs 75000 . if one loom breaks down and remains idle for one month , the decrease in profit is :
0general
a fruit seller sells mangoes at the rate of rs . 14 per kg and thereby loses 15 % . at what price per kg , he should have sold them to make a profit of 15 % ?
2gain
for a 3 - digit number xyz , where x , y , and z are the digits of the number , f ( xyz ) = 5 ^ x 2 ^ y 3 ^ z . if f ( abc ) = 3 * f ( def ) , what is the value of abc - def ?
0general
how long does a train 165 meters long running at the rate of 54 kmph take to cross a bridge 660 meters in length
1physics
a truck covers a distance of 392 km at a certain speed in 8 hours . how much time would a car take at an average speed which is 18 kmph more than that of the speed of the truck to cover a distance which is 70 km more than that travelled by the truck ?
1physics
the area of a triangle is with base 4 m and height 8 m ?
3geometry
a no . when divided by the sum of 555 and 445 gives 2 times their difference as quotient & 70 as remainder . find the no . is ?
0general
the average of 45 results is 10 . the average of first 22 of them is 15 and that of last 22 is 20 . find the 23 result ?
0general
if a 10 percent deposit that has been paid toward the purchase of a certain product is $ 140 , how much more remains to be paid ?
0general
a professional janitor can clean a certain high school in ( 4 + 4 ) hours , working at a constant rate . a student sentenced to detention can clean that same high school in 20 hours , also working at a constant rate . if the student is paid $ 7 total per hour and the janitor is paid $ 21 per hour , how much more would it cost the school to pay the janitor to do the job himself than it would to pay the student and the janitor to do the job together ?
0general
3 men and 8 women complete a task in same time as 6 men and 2 women do . how much fraction of work will be finished in same time if 2 men and 3 women will do that task .
1physics
a light has a rating of 60 watts , it is replaced with a new light that has 12 % higher wattage . how many watts does the new light have ?
2gain
a sum of money becomes 7 / 6 of itself in 6 years at a certain rate of simple interest . the rate per annum is ?
2gain
find the missing figures : 0.3 % of ? = 0.15
2gain
the mean daily profit made by a shopkeeper in a month of 30 days was rs . 350 . if the mean profit for the first fifteen days was rs . 265 , then the mean profit for the last 15 days would be
2gain
the ratio of the number of females to males at a party was 1 : 2 but when 5 females and 5 males left , the ratio became 1 : 3 . how many people were at the party originally ?
5other
the least number which when increased by 8 each divisible by each one of 24 , 32 , 36 and 54 is :
0general
find the length of the wire required to go 10 times round a square field containing 53824 m 2 .
1physics
a man invested rs . 14,400 in rs . 100 shares of a company at 20 % premium . if the company declares 4 % dividend at the end of the year , then how much does he get ?
2gain
what should be added to 4329 so that it may become a perfect square ?
3geometry
the number of the members of a club is more than 20 and less than 50 . when 4 people sit at a table , other people exactly divided to 6 - people groups ( 6 people sit at a table ) or 7 - people groups ( 7 people sit at a table ) . if the members are divided to 8 - people groups , how many people will be left ?
0general
the income of a company increases 20 % per annum . if its income is 2664000 in the year 1999 what was its income in the year 1997 ?
2gain
when 242 is divided by a certain divisor the remainder obtained is 11 . when 698 is divided by the same divisor the remainder obtained is 18 . however , when the sum of the two numbers 242 and 698 is divided by the divisor , the remainder obtained is 9 . what is the value of the divisor ?
0general
anil brought a scooter for a certain sum of money . he spent 10 % of the cost on repairs and sold the scooter for a profit of rs . 1100 . how much did he spend on repairs if he made a profit of 20 % ?
2gain
if 7 persons can do 7 times of a particular work in 7 days , then , 9 persons can do 9 times of that work in ?
1physics
the cost per pound of green tea and coffee were the same in june . in july , the price of coffee shot up by 100 % and that of green tea dropped by 90 % . if in july , a mixture containing equal quantities of green tea and coffee costs $ 3.15 for 3 lbs , how much did a pound of green tea cost in july ?
0general
if xy > 0 , 1 / x + 1 / y = 4 , and 1 / xy = 6 , then ( x + y ) / 2 = ?
0general
what is 0.01 percent of 12,356 ?
2gain
indu gave bindu rs . 2500 on compound interest for 2 years at 4 % per annum . how much loss would indu has suffered had she given it to bindu for 2 years at 2 % per annum simple interest ?
2gain
a case of 12 rolls of paper towels sells for $ 9 . the cost of one roll sold individually is $ 1 . what is the percent e of savings per roll for the 12 - roll package over the cost of 12 rolls purchased individually ?
0general
for what values of k will the pair of equations 3 ( 3 x + 4 y ) = 36 and kx + 12 y = 30 does not have a unique solution ?
0general
working at constant rate , pump x pumped out half of the water in a flooded basement in 5 hours . the pump y was started and the two pumps , working independently at their respective constant rates , pumped out rest of the water in 3 hours . how many hours would it have taken pump y , operating alone at its own constant rate , to pump out all of the water that was pumped out of the basement ?
1physics
there 3 kinds of books in the library physics , chemistry and biology . ratio of physics to chemistry is 3 to 2 ; ratio of chemistry to biology is 4 to 3 , and the total of the books is more than 3000 . which one of following can be the total r of the book ?
5other
on rainy mornings , mo drinks exactly n cups of hot chocolate ( assume that n is an integer ) . on mornings that are not rainy , mo drinks exactly 5 cups of tea . last week mo drank a total of 36 cups of tea and hot chocolate together . if during that week mo drank 14 more tea cups than hot chocolate cups , then how many rainy days were there last week ?
0general
there are 2 sections a and b in a class , consisting of 16 and 14 students respectively . if the average weight of section a is 20 kg and that of section b is 25 kg , find the average of the whole class ?
0general
a car traveled 75 % of the way from town a to town b at an average speed of 60 miles per hour . the car travels at an average speed of s miles per hour for the remaining part of the trip . the average speed for the entire trip was 40 miles per hour . what is s ?
1physics
the price of a jacket is reduced by 35 % . during a special sale the price of the jacket is reduced another 10 % . by approximately what percent must the price of the jacket now be increased in order to restore it to its original amount ?
2gain
the number of stamps that p and q had were in the ratio of 7 : 3 respectively . after p gave q 13 stamps , the ratio of the number of p ' s stamps to the number of q ' s stamps was 5 : 4 . as a result of the gift , p had how many more stamps than q ?
5other
if x and y are positive integers and 25 x = 10 y what is the least possible value of xy ?
0general
a retailer bought a shirt at wholesale and marked it up 80 % to its initial price of $ 27 . by how many more dollars does he need to increase the price to achieve a 100 % markup ?
0general
the ratio of the volumes of two cubes is 2744 : 1331 . what is the ratio of their total surface areas ?
3geometry
evaluate 28 % of 350 + 45 % of 280
2gain
three unbiased coins are tossed . what is the probability of getting 1 heads , 1 tail ?
4probability
divide rs . 32000 in the ratio 3 : 7 ?
5other
a train is running with a speed of 60 kmph and its length is 110 metres . calculate the time by which it will pass a man running opposite with speed of 6 kmph
1physics
the total of the ages of amar , akbar and anthony is 66 years . what was the total of their ages 4 years ago ?
0general
kim finds a 3 - meter tree branch and marks it off in thirds and fifths . she then breaks the branch along all the markings and removes one piece of every distinct length . what fraction of the original branch remains ?
1physics
a certain country is divided into 8 provinces . each province consists entirely of progressives and traditionalists . if each province contains the same number of traditionalists and the number of traditionalists in any given province is 1 / 12 the total number of progressives in the entire country , what fraction of the country is traditionalist ?
0general
n and m are each 3 - digit integers . each of the numbers 1 , 2 , 3 , 45 and 6 is a digit of either n or m . what is the smallest possible positive difference between n and m ?
0general
with both inlets open , a water tank will be filled with water in 36 minutes . the first inlet alone would fill the tank in 2 hours . if in every minutes the second inlet admits 50 cubic meters of water than the first , what is the capacity of the tank ?
1physics
what is the angle between the hands of a clock when time is 16 : 40 ?
3geometry
solve the equation for x : 8 ( x + y + 2 ) = 8 y - 8
0general
during a special promotion , a certain filling station is offering a 8 percent discount on gas purchased after the first 10 gallons . if kim purchased 20 gallons of gas , and isabella purchased 25 gallons of gas , then isabella ‟ s total per - gallon discount is what percent of kim ‟ s total per - gallon discount ?
2gain
5 men are equal to as many women as are equal to 8 boys . all of them earn rs . 90 only . men â € ™ s wages are ?
0general
stacy has a 33 page history paper due in 3 days . how many pages per day would she have to write to finish on time ?
1physics
the smallest value of n , for which 2 n + 1 is not a prime number , is
0general
a train running at the speed of 50 km / hr crosses a pole in 18 seconds . find the length of the train .
1physics
what sum of money put at c . i amounts in 2 years to rs . 7000 and in 3 years to rs . 9261 ?
0general
two employees m and n are paid a total of $ 583 per week by their employer . if m is paid 120 percent of the salary paid to n , how much is n paid per week ?
0general
if remainder is 1 , quotient is 54 and dividend is 217 then what is divisor ?
0general
4 , 7 , 13 , 25 , 49 , ( . . . )
0general
find the least number that must be subtracted from 1387 so that the remaining number is divisible by 15 .
0general
the output of a factory was increased by 5 % to keep up with rising demand . to handle the holiday rush , this new output was increased by 20 % . by approximately what percent would the output now have to be decreased in order to restore the original output ?
0general
if n is a positive integer and n ^ 2 is divisible by 62 , then the largest positive integer that must divide n is
0general
if a and b get profits of rs . 60,000 and rs . 6,000 respectively at the end of year then ratio of their investments are
2gain
what is the 99 th digit after the decimal point in the decimal expansion of 2 / 9 + 3 / 11 ?
0general
the ratio of ages of aman , bren , and charlie are in the ratio 5 : 8 : 7 respectively . if 8 years ago , the sum of their ages was 76 , what will be the age of bren 10 years from now ?
0general
a trainer is standing in one corner of a square ground of side 25 m . his voice can be heard upto 140 m . find the area of the ground in which his voice can be heard ?
3geometry
machine m , n , o working simultaneously machine m can produce x units in 3 / 4 of the time it takes machine n to produce the same amount of units . machine n can produce x units in 2 / 7 the time it takes machine o to produce that amount of units . if all 3 machines are working simultaneously , what fraction of the total output is produced by machine n ?
0general
a and b can do a work in 2 days , b and c in 6 days and c and a in 8 days . in how many days will the work be completed , if all three of them work together ?
1physics
a man is 18 years older than his son . in two years , his age will be twice the age of his son . the present age of this son is
0general
( 0.0088 ) ( 4.5 ) / ( 0.05 ) ( 0.1 ) ( 0.008 ) =
0general
a watch was sold at a loss of 10 % . if it was sold for rs . 210 more , there would have been a gain of 4 % . what is the cost price ?
2gain
( 4300631 ) - ? = 2535618
0general
two trains 250 m and 500 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time which they take to cross each other is ?
1physics