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by how much does the larger root of the equation 2 a ^ 2 + 5 a = 12 exceed the smaller root ?
0general
if x + 1 / x = 2 then find x 2 + 1 / x 2
0general
the faces of a triangular prism are to be painted by 5 different colors . in how many ways can be this be done ?
3geometry
three interviewers , a , b , and c are interviewing 30 applicants . only with three interviewers ' admission can an applicant be admitted . if interviewer a admitted 10 applicants , b admitted 12 applicants , and c admitted 15 applicants , at least how many applicants get the admission ?
3geometry
during a sale of 30 % on everything in a store , a kid is successful in convincing the store manager to give him 20 candies for the discounted price of 14 candies . the store still makes a profit of 12 % on this sale . what is the mark up percentage on each candy ?
2gain
there are two cubes with ratio between volume is 125 : 64 . then what is the value of length of each cube ?
3geometry
how many positive integers less than 247 are multiple of 4 but not multiples of 6 ?
0general
ram , who is half as efficient as krish , will take 36 days to complete a task if he worked alone . if ram and krish worked together , how long will they take to complete the task ?
1physics
the telephone company wants to add an area code composed of 2 letters to every phone number . in order to do so , the company chose a special sign language containing 24 different signs . if the company used 22 of the signs fully and two remained unused , how many additional area codes can be created if the company uses all 24 signs ?
0general
find large no . from below question the difference of two numbers is 1365 . on dividing the larger number by the smaller , we get 6 as quotient and the 5 as remainder
0general
the sum of ages of 10 children born at the intervals of 1 years each is 105 years . what is the age of the youngest child ?
0general
a pipe can fill a cistern in 33 minutes . find the time in which 1 / 11 part of the cistern will be filled ?
1physics
a wooden cube whose edge length is 8 inches is composed of smaller cubes with edge lengths of one inch . the outside surface of the large cube is painted red and then it is split up into its smaller cubes . if one cube is randomly selected from the small cubes , what is the probability that the cube will have at least one red face ?
3geometry
x can do a piece of work in 40 days . he works at it for 8 days and then y finished it in 36 days . how long will y take to complete the work ?
1physics
mr . hanson has a pool of money from which to give out christmas bonuses to his 5 employees . he wants all his employees to have identical bonuses , but when he divides them out , he finds he has 2 dollars left over , as the payroll system will only accept whole dollar amounts . the next christmas , mr . hanson discovers the pool for the bonuses is 3 times the size . this time , how much money will be left over ?
0general
calculate 469138 x 9999 = ?
0general
the cash difference between the selling prices of an book at a profit of 8 % and 16 % is $ 3 . the ratio of the two selling prices is :
2gain
if a rectangular billboard has an area of 117 square feet and a perimeter of 44 feet , what is the length of each of the shorter sides ?
3geometry
bird is flying 120 km / hr between b to r . two trains at b to r at 60 kmph . the distance traveled by the bird before it is killed ?
1physics
a = 5 ^ 15 - 125 ^ 3 and a / x is an integer , where x is a positive integer greater than 1 , such that it does not have a factor p such that 1 < p < x , then how many different values for x are possible ?
0general
in a 600 m race , the ratio of the speeds of two contestants a and b is 5 : 4 . a has a start of 100 m . then , a wins by :
1physics
at present the ratio between the ages of arun and deepak is 2 : 3 . after 5 years , arun ' s age will be 25 years . what is the age of deepak at present ?
5other
the length of the bridge is 200 m , which a 100 m long train cross in 60 sec . then what is the speed of train ?
1physics
if a = 105 and a ^ 3 = 21 × 25 × 45 × e , what is the value of e ?
0general
if i earn a profit 50 $ in a day and i have 9 employees . after keeping 10 percent profit for me , and distribute remianing money equally among my employees then how much each employee would get ?
2gain
a 14 % stock yields 8 % . the market value of the stock is :
2gain
in the third grade of windblown school there are 84 students , one third of them failed the math test and 1 / 6 failed that literature test . at least how many students failed both tests ?
5other
the diameters of two spheres are in the ratio 1 : 2 what is the ratio of their volumes ?
3geometry
find the number of shares that can be bought for rs . 8200 if the market value is rs . 25 each with brokerage being 2.5 % .
2gain
find the distance covered by a man walking for 30 min at a speed of 10 km / hr ?
1physics
a certain ball team has an equal number of right - and left - handed players . on a certain day , two - thirds of the players were absent from practice . of the players at practice that day , one - third were right handed . what is the ratio of the number of right - handed players who were not at practice that day to the number of left handed players who were not at practice ?
0general
a container holding 12 ounces of a solution that is 1 part alcohol to 2 parts water is added to a container holding 4 ounces of a solution that is 1 part alcohol to 3 parts water . what is the ratio of alcohol to water in the resulting solution ?
5other
the number which exceeds 16 % of it by 84 is :
2gain
find the principal which yields a simple interest of rs . 20 and compound interest of rs . 21 in two years , at the same percent rate per annum ?
2gain
ratio between rahul and deepak is 4 : 3 , after 4 years rahul age will be 32 years . what is deepak present age .
5other
a train 850 m long is running at a speed of 78 km / hr . if it crosses a tunnel in 1 min , then the length of the tunnel is ?
1physics
in a certain company , a third of the workers do not have a retirement plan . 20 % of the workers who do not have a retirement plan are women , and 40 % of the workers who do have a retirement plan are men . if 140 of the workers of that company are men , how many of the workers are women ?
2gain
if p ( a ) = 2 / 15 , p ( b ) = 4 / 15 , and p ( a ∪ b ) = 6 / 15 find p ( a | b )
0general
worker a takes 8 hours to do a job . worker b takes 6 hours to do the same job . how long it take both a & b , working together but independently , to do the same job ?
1physics
the length of the rectangular field is double its width . inside the field there is square shaped pond 7 m long . if the area of the pond is 1 / 8 of the area of the field . what is the length of the field ?
3geometry
how many numbers from 32 to 97 are exactly divisible by 9 ?
0general
the distance from the x - axis to point p is half the distance from the y - axis to point p . if the coordinates of p are ( x , - 4 ) , how many units is p from the y - axis ?
0general
if 20 men can build a wall 66 metres long in 4 days , what length of a similar can be built by 86 men in 8 days ?
1physics
the price of a coat in a certain store is $ 500 . if the price of the coat is to be reduced by $ 250 , by what percent is the price to be reduced ?
2gain
a train , 800 meter long is running with a speed of 78 km / hr . it crosses a tunnel in 1 minute . what is the length of the tunnel ( in meters ) ?
1physics
a library has an average of 150 visitors on sundays and 120 on other days . the avearge number of visitors per day in a month of 30 days beginning with a sunday is ?
0general
find the smallest number which should be multiplied with 520 to make it a perfect square .
3geometry
in a company of 200 employees , 120 are females . a total of 100 employees have advanced degrees and the rest have a college degree only . if 40 employees are males with a college degree only , how many employees are females with advanced degrees ?
3geometry
in what ratio should a variety of rice costing rs . 4.5 per kg be mixed with another variety of rice costing rs . 8.75 per kg to obtain a mixture costing rs . 7.50 per kg ?
5other
in a certain pond , 60 fish were caught , tagged , and returned to the pond . a few days later , 60 fish were caught again , of which 2 were found to have been tagged . if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond , what ` s the approximate number of fish in the pond ?
2gain
a man walking at a rate of 15 km / hr crosses a bridge in 10 minutes . the length of the bridge is ?
2gain
12 + 13 + 14 + . . . 61 + 62 + 63 = ?
0general
tickets numbered from 1 to 21 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
a sum was put at simple interest at certain rate for 3 years . had it been put at 1 % higher rate it would have fetched rs . 63 more . the sum is : a . rs . 2,400 b . rs . 2,100 c . rs . 2,200 d . rs . 2,480
2gain
( 128.5 x 64 ) + ( 13.8 x 465 ) = ? x 25
0general
128 students represent x percent of the boys at a school . if the boys at the school make up 50 % of the total school population of x students , what is x ?
2gain
a basket contains 5 apples , of which 1 is spoiled and the rest are good . if henry is to select 2 apples from the basket simultaneously and at random , what is the possibility that the 2 apples selected will include the spoiled apple ?
0general
the difference in compound interest earned on a deposit ( compounded annually ) in year 1 and year 2 is $ 40 . had the interest rate been 3 times its present value , the difference w would have been how much ?
0general
the sides of a rectangular field are in the ratio 3 : 4 . if the area of the field is 7500 sq . m , the cost of fencing the field @ 25 paise per metre is
1physics
the percentage increase in the area of a rectangle , if each of its sides is increased by 20 % is
3geometry
what is the value of ( p + q ) / ( p - q ) if p / q is 5 ?
0general
find the area of the quadrilateral of one of its diagonals is 28 cm and its off sets 8 cm and 2 cm ?
3geometry
3 machines operating independently , simultaneously , and at the same constant rate can fill a certain production order in 44 hours . if one additional machine were used under the same operating conditions , in how manyfewerhours of simultaneous operation could the production order be fulfilled ?
0general
in a certain business school class , p students are accounting majors , q students are finance majors , r students are marketing majors , and s students are strategy majors . if pqrs = 1365 , and if 1 < p < q < r < s , how many students in the class are accounting majors ?
2gain
a train 250 m long is running at a speed of 58 kmph . how long does it take to pass a man who is running at 8 kmph in the same direction as the train ?
1physics
line m lies in the xy - plane . the y - intercept of line m is - 2 , and line m passes through the midpoint of the line segment whose endpoints are ( 2 , 4 ) and ( 6 , - 10 ) . what is the slope of line m ?
0general
on a certain transatlantic crossing , 20 percent of a ship ' s passengers held round - trip tickets and also took their cars abroad the ship . if 50 percent of the passengers with round - trip tickets did not take their cars abroad the ship , what percent of the ship ' s passengers held round - trip tickets ?
2gain
in the fifth grade at parkway elementary school there are 420 students . 312 students are boys and 250 students are playing soccer . 86 % of the students that play soccer are boys . how many girl student are in parkway that is not playing soccer ?
2gain
a mobile battery in 1 hour charges to 20 percent . how much time ( in minute ) will it require more to charge to 60 percent .
1physics
if n is an integer , f ( n ) = f ( n - 1 ) - n and f ( 4 ) = 14 . what is the value of f ( 6 ) ?
0general
the banker â € ™ s discount of a certain sum of money is rs . 80 and the true discount on the same sum for the same time is rs . 70 . the sum due is
2gain
in what time will a train 150 m long cross an electric pole , it its speed be 144 km / hr ?
1physics
from a container having pure milk , 10 % is replaced by water and the process is repeated twice . at the end of the second operation , the milk is ?
5other
what is the smallest number which , when increased by 9 , is divisible by 8 , 11 , and 24 ?
0general
on an order of 19 dozen boxes of a consumer product , a retailer receives an extra dozen free . this is equivalent to allowing him a discount of :
0general
a glass was filled with 10 ounces of water , and 0.02 ounce of the water evaporated each day during a 20 - day period . what percent of the original amount of water evaporated during this period ?
2gain
i sold a book at a profit of 10 % . had i sold it for $ 140 more , 15 % would have been gained . find the cost price ?
2gain
a glass was filled with 15 ounces of water , and 0.05 ounce of the water evaporated each day during a 15 - day period . what percent of the original amount of water evaporated during this period ?
2gain
a can do a piece of work in 15 days . a does the work for 5 days only and leaves the job . b does the remaining work in 10 days . in how many days b alone can do the work ?
1physics
in a hostel there were 100 students . to accommodate 25 more students the average is decreased by rupees 10 . but total expenditure increased by rs . 500 . find the total expenditure of the hostel now ?
0general
the area of a square is 4356 sq cm . find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square .
3geometry
pat , kate , and mark charged a total of 144 hours to a certain project . if pat charged twice as much time to the project as kate and 1 / 3 as much time as mark , how many more hours did mark charge to the project than kate ?
0general
at the end of the first quarter , the share price of a certain mutual fund was 30 percent higher than it was at the beginning of the year . at the end of the second quarter , the share price was 50 percent higher than it was at the beginning of the year . what was the percent increase in the share price from the end of the first quarter to the end of the second quarter ?
2gain
in the graduating class of a certain college , 48 percent of the students are male and 52 percent are female . in this class 50 percent of the male and 20 percent of the female students are 25 years old or older . if one student in the class is randomly selected , approximately what is the probability that he or she will be less than 25 years old ?
0general
a grocer has a sale of rs . 5420 , rs . 5660 , rs . 6200 , rs . 6350 and rs . 6500 for 5 consecutive months . find the sale he should have in the sixth month , so that he gets an average sale of rs . 6200 ?
0general
the population of a bacteria culture doubles every 2 minutes . approximately how many minutes will it take for the population to grow from 1,000 to 1 , 000,000 bacteria
0general
the present worth of rs . 1183 due in 2 years at 4 % per annum compound interest is
2gain
the c . p of 20 pens is equal to the s . p of 12 pens . find his gain % or loss % ?
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 15 % solution ?
0general
how many multiples of 4 are there between 16 and 112 , inclusive ?
0general
jill has 35 gallons of water stored in quart , half - gallon , and one gallon jars . she has equal numbers of each size jar holding the liquid . what is the total number of water filled jars ?
0general
a cycle is bought for rs . 850 and sold for rs . 1080 , find the gain percent ?
2gain
the number of singles that a baseball player hit increased 5 percent from her first season to her second season , and the number of doubles that she hit in the same time period decreased by 2 percent . if the total number of singles and doubles that she hit increased 2 percent from her first season to her second season , what is the ratio of the number of singles she hit in her first season to the number of doubles she hit in her first season ?
0general
a person is traveling at 25 km / hr and reached his destiny in 5 hr find the distance ?
1physics
in a theater , the first row has 14 seats and each row has 3 more seats than previous row . if the last row has 50 seats , what is the total number of seats in the theater ?
0general
a train 200 m long takes 6 sec to cross a man walking at 5 kmph in a direction opposite to that of the train . find the speed of the train ?
1physics
8 ^ 100 is divisible by 17 then find the remainder ?
0general
a student scored an average of 80 marks in 3 subjects : physics , chemistry and mathematics . if the average marks in physics and mathematics is 90 and that in physics and chemistry is 70 , what are the marks in physics ?
0general
in an election , candidate douglas won 54 percent of the total vote in counties x and y . he won 62 percent of the vote in county x . if the ratio of people who voted in county x to county y is 2 : 1 , what percent of the vote did candidate douglas win in county y ?
0general
the radius of a wheel is 14.6 cm . what is the distance covered by the wheel in making 100 resolutions ?
1physics