rootacess/math-qa-classification · Datasets at Hugging Face

Problem stringlengths 5 967	category class label 6 classes
two vessels having volumes in the ratio 3 : 5 are filled with water and milk solutions . the ratio of milk and water in the two vessels are 2 : 3 and 3 : 1 respectively . if the contents of both the vessel are empties into a larger vessel , find the ratio of milk and water in the larger vessel .	5other
a man swims downstream 45 km and upstream 18 km taking 3 hours each time , what is the speed of the man in still water ?	1physics
the product of two successive numbers is 1122 . which is the smaller of the two numbers ?	0general
a library has an average of 630 visitors on sundays and 240 on other days . the average number of visitors per day in a month of 30 days beginning with a sunday is :	0general
the sale price of a trolley bag including the sale tax is rs . 1232 . the rate of sale tax is 10 % . if the shopkeeper has made a profit of 12 % , the cost price of the trolley bag is :	2gain
rs 4000 is divided into two parts such that one part is put out at 3 % and the other at 5 % . if the annual interest earned from both the investments be rs 144 , find the first part .	2gain
a train of 24 carriages , each of 60 meters length , when an engine also of 60 meters length is running at a speed of 60 kmph . in what time will the train cross a bridge 4.5 km long ?	1physics
the only items of clothing at michelle ’ s boutique are 4 shirts , 8 pairs of pants and 18 ties . what is the probability of randomly selecting 2 ties out of all the items in michelle ’ s boutique ?	4probability
in a sample of 800 high school students in which all students are either freshmen , sophomores , juniors , or seniors , 26 percent are juniors and 75 percent are not sophomores . if there are 160 seniors , how many more freshmen than sophomores are there among the sample of students ?	2gain
mary and mike enter into a partnership by investing $ 900 and $ 100 respectively . at the end of one year , they divided their profits such that a third of the profit is divided equally for the efforts they have put into the business and the remaining amount of profit is divided in the ratio of the investments they made in the business . if mary received $ 1600 more than mike did , what was the profit made by their business in that year ?	0general
if 63 percent of a class answered the first question on a certain test correctly , 49 percent answered the second question on the test correctly , and 20 percent answered neither of the questions correctly , what percent answered both correctly ?	5other
the speed of a boat in still water is 12 kmph . what is the speed of the stream if the boat can cover 32 km downstream or 16 km upstream in the same time ?	1physics
the average age of students of a class is 15.8 years . the average age of boys in the class is 16.4 years and that of the girls is 15.4 years . the ration of the number of boys to the number of girls in the class is ?	0general
a birthday child reaches into a bag filled with toys ( 1 yo - yo , 1 ball , 1 whistle , and 1 box crayons ) . if the child randomly picks 3 toys , what is the probability the child will pick the yo - yo and a ball as two of the 3 toys ?	1physics
3 investors , a , b , and c , divide the profits from a business enterprise in the ratio of 5 : 7 : 8 , respectively . if investor a earned $ 2500 , how much money did investors b and c earn in total ?	0general
suppose you work for a manufacturing plant that pays you $ 12.50 an hour plus $ 0.16 for each widget you make . how many widgets must you produce in a 40 hour week to earn $ 580 ( before payroll deductions ) ?	1physics
find the least number of complete years in which a sum of money put out at 15 % compound interest will be more than double of itself ?	0general
jim â € ™ s taxi service charges an initial fee of $ 2.25 at the beginning of a trip and an additional charge of $ 0.3 for each 2 / 5 of a mile traveled . what is the total charge for a trip of 3.6 miles ?	0general
country c imposes a two - tiered tax on imported cars : the first tier imposes a tax of 15 % of the car ' s price up to a certain price level . if the car ' s price is higher than the first tier ' s level , the tax on the portion of the price that exceeds this value is 10 % . if ron imported a $ 15,000 imported car and ended up paying $ 1800 in taxes , what is the first tier ' s price level ?	0general
in what time will a train 90 meters long cross an electric pole , if its speed is 124 km / hr	1physics
what is the rate percent when the simple interest on rs . 600 amount to rs . 160 in 4 years ?	2gain
find two integers , neither of which ends in a zero , and whose product is exactly 10 , 000,000	0general
a & b started a partnership business . a ' s investment was thrice the investment of b and the period of his investment was two times the period of investments of b . if b received rs 3000 as profit , what is their total profit ?	0general
a person crosses a 1080 m long street in 10 minutes . what is his speed in km per hour ?	1physics
exactly 12 % of the reporters for a certain wire service cover local politics in country x . if 40 % of the reporters who cover politics for the wire service do not cover local politics in country x , what percent of the reporters for the wire service do not cover politics ?	2gain
a man can row his boat with the stream at 6 km / h and against the stream in 3 km / h . the man ' s rate is ?	2gain
ronald and elan are working on an assignment . ronald takes 6 hours to type 32 pages on a computer , while elan takes 5 hours to type 40 pages . how much time will they take , working together on two different computers to type an assignment of 110 pages ?	1physics
an error 2 % in excess is made while measuring the side of a square . the percentage of error in the calculated area of the square is ?	2gain
the difference between a number and its two - fifth is 510 . what is 50 % of that number ?	0general
a dishonest milkman wants to make a profit on the selling of milk . he would like to mix water ( costing nothing ) with milk costing rs . 46 per litre so as to make a profit of 20 % on cost when he sells the resulting milk and water mixture for rs . 54 in what ratio should he mix the water and milk ?	2gain
a train 441 m long can cross an electric pole in 21 sec and then find the speed of the train ?	1physics
a can run 4 times as fast as b and gives b a start of 75 m . how long should the race course be so that a and b might reach in the same time ?	1physics
when the price of an article was reduced by 15 % its sale increased by 80 % . what was the net effect on the sale ?	2gain
a certain characteristic in a large population has a distribution that is symmetric about the mean m . if 64 percent of the distribution lies within one standard deviation d of the mean , what percent of the distribution is less than m + d ?	0general
two trains of equal are running on parallel lines in the same direction at 46 km / hr and 36 km / hr . the faster train passes the slower train in 27 sec . the length of each train is ?	0general
sam ’ s car was fined when he gave joe and peter a ride , so they decided to help sam pay the fine . joe paid $ 7 more than 1 / 4 of the fine and peter paid $ 7 less than 1 / 3 of the fine , leaving pay $ 12 less than 1 / 2 the fine to complete the payment . what fraction of the fine did sam pay ?	0general
if two projectiles are launched at the same moment from 1998 km apart and travel directly towards each other at 444 km per hour and 555 km per hour respectively , how many minutes will it take for them to meet ?	1physics
after spending rs . 5000 on rent , rs . 1500 on milk , rs . 4500 on groceries , rs . 2500 on childrens education rs . 2000 on petrol and rs . 5650 on miscellaneous expenses , mr . kishore saved 10 % of his monthly salary . how much did he save in rs . ?	0general
a large box contains 15 small boxes and each small box contains 25 chocolate bars . how many chocolate bars are in the large box ?	0general
an assembly line produces 90 cogs per hour until an initial order of 60 cogs is completed . the speed of the assembly line is then immediately decreased so that it only produces 60 cogs per hour until another 60 cogs are produced . what is the overall average output , in cogs per hour , for the assembly line during this whole time ?	0general
there has been successive increases of 25 % and then 15 % in the price of gas from the previous month . by what percentage should a driver reduce gas consumption so that the expenditure does not change ?	0general
a train covers a distance of 12 km in 5 min . if it takes 6 sec to pass a telegraph post , then the length of the train is ?	1physics
ab + ba ___ 202 in the addition problem above , a and b represent digits in two different two - digit numbers . what is the sum of a and b ?	0general
an industrial loom weaves 0.128 metres of cloth every second . approximately , how many seconds will it take for the loom to weave 29 metre of cloth ?	1physics
the sum of three consecutive even numbers is 36 , find the first number ?	1physics
30 liters of a mixture is created by mixing liquid p and liquid q in the ratio 3 : 2 . how many liters of liquid q must be added to make the ratio 3 : 4 ?	0general
. for the fifa world cup , paul the octopus has been predicting the winner of each match with amazing success . it is rumored that in a match between 2 teams a and b , paul picks a with the same probability as a ’ s chances of winning . let ’ s assume such rumors to be true and that in a match between ghana and bolivia ; ghana the stronger team has a probability of 2 / 3 of winning the game . what is the probability that paul will correctly pick the winner of the ghana - bolivia game ?	0general
john has 10 pairs of matched socks . if he loses 5 individual socks , what is the greatest number of pairs of matched socks he can have left ?	0general
if { x } is the product of all even integers from 1 to x inclusive , what is the greatest prime factor of { 18 } + { 16 } ?	0general
a rainstorm increased the amount of water stored in state j reservoirs from 125 billion gallons to 150 billion gallons . if the storm increased the amount of water in the reservoirs to 80 percent of total capacity , approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm ?	0general
in the graduating class of a certain college , 48 percent of the students are male and 52 percent are female . in this class 40 percent of the male and 50 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
if ( a – b ) is 7 more than ( c + d ) and ( a + b ) is 3 less than ( c – d ) , then ( a – c ) is :	0general
a person jogged 10 times along the perimeter of a rectangular field at the rate of 12 kilometers per hour for 30 minutes . if field has a length that is twice its width , find the area of the field in square meters .	3geometry
a man is 27 years older than his son . in two years , his age will be twice the age of his son . the present age of the son is ?	0general
john distributes his pencil among his 4 friends rose , mary , ranjan , and rohit in the ratio 1 / 2 : 1 / 3 : 1 / 4 : 1 / 5 . what is the minimum no . of pencils that the person should have ?	5other
a particular library has 75 books in a special collection , all of which were in the library at the beginning of the month . these book are occasionally loaned out through an inter - library program . if , by the end of the month , 70 percent of books that were loaned out are returned and there are 63 books in the special collection at that time , how many books of the special collection were loaned out during that month ?	2gain
all the faces of cubes are painted with red colour . it is then cut into 64 equal small cubes . find how many small cubes have no faces coloured ?	3geometry
[ ( 3.242 x 16 ) / 100 ] = ?	0general
sabrina is contemplating a job switch . she is thinking of leaving her job paying $ 90000 per year to accept a sales job paying $ 45000 per year plus 15 percent commission for each sale made . if each of her sales is for $ 1500 , what is the least number of sales she must make per year if she is not to lose money because of the job change ?	0general
if ( 1 – 1.25 ) n = 2 , then n =	0general
a computer manufacturer produces a certain electronic component at a cost of $ 80 per component . shipping costs for delivering the components are $ 6 per unit . further , the manufacturer has costs of $ 16,500 a month related to the electronic component regardless of how many it produces . if the manufacturer produces and sells 150 components a month , what is the lowest price it can sell them for such that the costs do n ' t exceed the revenues ?	0general
an outlet pipe can empty 2 / 3 of a cistern in 16 minutes . in 8 minutes , what part of the cistern will be emptied ?	1physics
if a ã — b = 2 a - 3 b + ab , then 3 ã — 4 + 4 ã — 3 is equal to :	0general
the simple interest on a sum of money will be rs . 1000 after 10 years . if the principal is trebled after 5 years what will be the total interest at the end of the tenth year ?	0general
the cash difference between the selling prices of an article at a profit of 4 % and 8 % is rs . 3 . the ratio of the two selling prices is ?	2gain
if shares of two persons in profits are rs . 700 and rs . 300 then ratio of their capitals is	5other
a rectangular room has the rectangular shaped rug shown as above figure such that the rug ’ s area is 160 square feet and its length is 6 feet longer than its width . if the uniform width between the rug and room is 6 feet , what is the area of the region uncovered by the rug ( shaded region ) , in square feet ?	3geometry
an advertising agency finds that , of its 180 clients , 115 use television , 110 use radio and 130 use magazines . also , 85 use television and magazines , 75 use television and radio , 95 use radio and magazines . how many use all the 3 ?	0general
8 friends met for lunch at an expensive restaurant , and everyone decided to contribute equally to the total bill of $ 290 . if one of the friends had a coupon for 29 % off the total bill , and if each friend still contributed equally after the coupon was applied to the bill , how much did each friend pay ?	0general
for a right angle triangle the hypotenuse is 5 and base is 3 . what is the area of the triangle ?	3geometry
during a car trip , maria stopped to rest after she traveled 1 / 2 of the total distance to her destination . she stopped again after she traveled 1 / 4 of the distance remaining between her first stop and her destination , and then she drove the remaining 210 miles to her detination . what was the total distance , in miles from maria ' s starting point to her destination ?	1physics
a train 1000 m long can cross an electric pole in 200 sec and then find the speed of the train ?	1physics
joshua and jose work at an auto repair center with 6 other workers . for a survey on health care insurance , 2 of the 6 workers will be randomly chosen to be interviewed . what is the probability that joshua and jose will both be chosen ?	1physics
what is the units digit of 63 ^ 3 * 17 ^ 3 * 49 ^ 3 ?	0general
what is the probability of randomly selecting an arrangement of the letters of the word ` ` mediterranean ' ' in which the first letter is e and the last letter is r ?	4probability
10 business executives and 3 chairmen meet at a conference . if each business executive shakes the hand of every other business executive and every chairman once , and each chairman shakes the hand of each of the business executives but not the other chairmen , how many handshakes would take place ?	3geometry
a goods train runs at a speed of 72 kmph and crosses a 280 m long platform in 26 seconds . what is the length of the goods train ?	1physics
in a certain brick wall , each row of bricks above the bottom row contains one less brick than the row just below it . if there are 5 rows in all and a total of 100 bricks in the wall , how many bricks does the bottom row contain ?	0general
how many liters of water must be evaporated from 50 liters of a 3 - percent sugar solution to get a 3 - percent solution ?	2gain
average age of 7 members of a family is 29 years . if present age of the youngest member is 5 year , find average age of the remaining members at the time of birth of the youngest member .	0general
there is a 50 % chance jen will visit chile this year , while there is a 25 % chance that she will visit madagascar this year . what is the probability that jen will visit either chile or madagascar this year , but not both ? [ / b ]	4probability
thabo owns exactly 200 books , and each book is either paperback fiction , paperback nonfiction , or hardcover nonfiction . if he owns 20 more paperback nonfiction books than hardcover nonfiction books , and twice as many paperback fiction books as paperback nonfiction books , how many hardcover books nonfiction books does thabo own ?	0general
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 4 cups of tea . last week mo drank a total of 26 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
the market value of a certain machine decreased by 25 percent of its purchase price each year . if the machine was purchased in 1982 for its market value of $ 8,000 , what was its market value two years later ?	2gain
if n is a prime number greater than 3 , what is the remainder when n ^ 2 is divided by 12 ?	0general
in the manufacture of a certain product , 10 percent of the units produced are defective and 5 percent of the defective units are shipped for sale . what percent of the units produced are defective units that are shipped for sale ?	2gain
convert 300 inches into centimeter ?	1physics
a boat goes 130 km downstream in 10 hours , and 75 km upstream in 15 hours . the speed of the stream is ?	1physics
pat , kate , and mark charged a total of 135 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
sum of the squares of 3 no . is 52 and the sum of their products taken two at a time is 72 . find the sum ?	0general
a bag contains 3 red , 2 yellow and 4 green balls . 3 balls are drawn randomly . what is the probability that the balls drawn contain balls of different colours ?	4probability
how many seconds will a 650 m long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 48 km / hr ?	1physics
when positive integer n is divided by 3 , the remainder is 2 . when n is divided by 7 , the remainder is 6 . how many values less than 100 can n take ?	0general
what is the unit digit in [ ( 6273 ) ^ 1793 x ( 625 ) ^ 317 x ( 341 ) ^ 491 ] ?	0general
what is the rate percent when the simple interest on rs . 780 amount to rs . 130 in 4 years ?	2gain
the cross - section of a river bank is a trapezium in shape . if the river bank is 12 m wide at the top and 8 m wide at the bottom and the area of cross - section is 500 sq m , the depth of river bank is ?	1physics
what ratio must a shopkeeper mix peas and soybean of rs . 16 and rs . 25 / kg , as to obtain a mixture of rs . 19 ?	0general
x can do a piece of work in 20 days . he works at it for 10 days and then y finished it in 12 days . how long will y take to complete the work ?	1physics
a man can row upstream at 27 kmph and downstream at 35 kmph , and then find the speed of the man in still water ?	1physics
for any positive integer n , the sum of the first n positive integers equals n ( n + 1 ) / 2 . what is the sum m of all the even integers between 99 and 301 ?	0general

two vessels having volumes in the ratio 3 : 5 are filled with water and milk solutions . the ratio of milk and water in the two vessels are 2 : 3 and 3 : 1 respectively . if the contents of both the vessel are empties into a larger vessel , find the ratio of milk and water in the larger vessel .

5other

a man swims downstream 45 km and upstream 18 km taking 3 hours each time , what is the speed of the man in still water ?

1physics

the product of two successive numbers is 1122 . which is the smaller of the two numbers ?

0general

a library has an average of 630 visitors on sundays and 240 on other days . the average number of visitors per day in a month of 30 days beginning with a sunday is :

0general

the sale price of a trolley bag including the sale tax is rs . 1232 . the rate of sale tax is 10 % . if the shopkeeper has made a profit of 12 % , the cost price of the trolley bag is :

2gain

rs 4000 is divided into two parts such that one part is put out at 3 % and the other at 5 % . if the annual interest earned from both the investments be rs 144 , find the first part .

2gain

a train of 24 carriages , each of 60 meters length , when an engine also of 60 meters length is running at a speed of 60 kmph . in what time will the train cross a bridge 4.5 km long ?

1physics

the only items of clothing at michelle ’ s boutique are 4 shirts , 8 pairs of pants and 18 ties . what is the probability of randomly selecting 2 ties out of all the items in michelle ’ s boutique ?

4probability

in a sample of 800 high school students in which all students are either freshmen , sophomores , juniors , or seniors , 26 percent are juniors and 75 percent are not sophomores . if there are 160 seniors , how many more freshmen than sophomores are there among the sample of students ?

2gain

mary and mike enter into a partnership by investing $ 900 and $ 100 respectively . at the end of one year , they divided their profits such that a third of the profit is divided equally for the efforts they have put into the business and the remaining amount of profit is divided in the ratio of the investments they made in the business . if mary received $ 1600 more than mike did , what was the profit made by their business in that year ?

0general

if 63 percent of a class answered the first question on a certain test correctly , 49 percent answered the second question on the test correctly , and 20 percent answered neither of the questions correctly , what percent answered both correctly ?

5other

the speed of a boat in still water is 12 kmph . what is the speed of the stream if the boat can cover 32 km downstream or 16 km upstream in the same time ?

1physics

the average age of students of a class is 15.8 years . the average age of boys in the class is 16.4 years and that of the girls is 15.4 years . the ration of the number of boys to the number of girls in the class is ?

0general

a birthday child reaches into a bag filled with toys ( 1 yo - yo , 1 ball , 1 whistle , and 1 box crayons ) . if the child randomly picks 3 toys , what is the probability the child will pick the yo - yo and a ball as two of the 3 toys ?

1physics

3 investors , a , b , and c , divide the profits from a business enterprise in the ratio of 5 : 7 : 8 , respectively . if investor a earned $ 2500 , how much money did investors b and c earn in total ?

0general

suppose you work for a manufacturing plant that pays you $ 12.50 an hour plus $ 0.16 for each widget you make . how many widgets must you produce in a 40 hour week to earn $ 580 ( before payroll deductions ) ?

1physics

find the least number of complete years in which a sum of money put out at 15 % compound interest will be more than double of itself ?

0general

jim â € ™ s taxi service charges an initial fee of $ 2.25 at the beginning of a trip and an additional charge of $ 0.3 for each 2 / 5 of a mile traveled . what is the total charge for a trip of 3.6 miles ?

0general

country c imposes a two - tiered tax on imported cars : the first tier imposes a tax of 15 % of the car ' s price up to a certain price level . if the car ' s price is higher than the first tier ' s level , the tax on the portion of the price that exceeds this value is 10 % . if ron imported a $ 15,000 imported car and ended up paying $ 1800 in taxes , what is the first tier ' s price level ?

0general

in what time will a train 90 meters long cross an electric pole , if its speed is 124 km / hr

1physics

what is the rate percent when the simple interest on rs . 600 amount to rs . 160 in 4 years ?

2gain

find two integers , neither of which ends in a zero , and whose product is exactly 10 , 000,000

0general

a & b started a partnership business . a ' s investment was thrice the investment of b and the period of his investment was two times the period of investments of b . if b received rs 3000 as profit , what is their total profit ?

0general

a person crosses a 1080 m long street in 10 minutes . what is his speed in km per hour ?

1physics

exactly 12 % of the reporters for a certain wire service cover local politics in country x . if 40 % of the reporters who cover politics for the wire service do not cover local politics in country x , what percent of the reporters for the wire service do not cover politics ?

2gain

a man can row his boat with the stream at 6 km / h and against the stream in 3 km / h . the man ' s rate is ?

2gain

ronald and elan are working on an assignment . ronald takes 6 hours to type 32 pages on a computer , while elan takes 5 hours to type 40 pages . how much time will they take , working together on two different computers to type an assignment of 110 pages ?

1physics

an error 2 % in excess is made while measuring the side of a square . the percentage of error in the calculated area of the square is ?

2gain

the difference between a number and its two - fifth is 510 . what is 50 % of that number ?

0general

a dishonest milkman wants to make a profit on the selling of milk . he would like to mix water ( costing nothing ) with milk costing rs . 46 per litre so as to make a profit of 20 % on cost when he sells the resulting milk and water mixture for rs . 54 in what ratio should he mix the water and milk ?

2gain

a train 441 m long can cross an electric pole in 21 sec and then find the speed of the train ?

1physics

a can run 4 times as fast as b and gives b a start of 75 m . how long should the race course be so that a and b might reach in the same time ?

1physics

when the price of an article was reduced by 15 % its sale increased by 80 % . what was the net effect on the sale ?

2gain

a certain characteristic in a large population has a distribution that is symmetric about the mean m . if 64 percent of the distribution lies within one standard deviation d of the mean , what percent of the distribution is less than m + d ?

0general

two trains of equal are running on parallel lines in the same direction at 46 km / hr and 36 km / hr . the faster train passes the slower train in 27 sec . the length of each train is ?

0general

sam ’ s car was fined when he gave joe and peter a ride , so they decided to help sam pay the fine . joe paid $ 7 more than 1 / 4 of the fine and peter paid $ 7 less than 1 / 3 of the fine , leaving pay $ 12 less than 1 / 2 the fine to complete the payment . what fraction of the fine did sam pay ?

0general

if two projectiles are launched at the same moment from 1998 km apart and travel directly towards each other at 444 km per hour and 555 km per hour respectively , how many minutes will it take for them to meet ?

1physics

after spending rs . 5000 on rent , rs . 1500 on milk , rs . 4500 on groceries , rs . 2500 on childrens education rs . 2000 on petrol and rs . 5650 on miscellaneous expenses , mr . kishore saved 10 % of his monthly salary . how much did he save in rs . ?

0general

a large box contains 15 small boxes and each small box contains 25 chocolate bars . how many chocolate bars are in the large box ?

0general

an assembly line produces 90 cogs per hour until an initial order of 60 cogs is completed . the speed of the assembly line is then immediately decreased so that it only produces 60 cogs per hour until another 60 cogs are produced . what is the overall average output , in cogs per hour , for the assembly line during this whole time ?

0general

there has been successive increases of 25 % and then 15 % in the price of gas from the previous month . by what percentage should a driver reduce gas consumption so that the expenditure does not change ?

0general

a train covers a distance of 12 km in 5 min . if it takes 6 sec to pass a telegraph post , then the length of the train is ?

1physics

ab + ba ___ 202 in the addition problem above , a and b represent digits in two different two - digit numbers . what is the sum of a and b ?

0general

an industrial loom weaves 0.128 metres of cloth every second . approximately , how many seconds will it take for the loom to weave 29 metre of cloth ?

1physics

the sum of three consecutive even numbers is 36 , find the first number ?

1physics

30 liters of a mixture is created by mixing liquid p and liquid q in the ratio 3 : 2 . how many liters of liquid q must be added to make the ratio 3 : 4 ?

0general

. for the fifa world cup , paul the octopus has been predicting the winner of each match with amazing success . it is rumored that in a match between 2 teams a and b , paul picks a with the same probability as a ’ s chances of winning . let ’ s assume such rumors to be true and that in a match between ghana and bolivia ; ghana the stronger team has a probability of 2 / 3 of winning the game . what is the probability that paul will correctly pick the winner of the ghana - bolivia game ?

0general

john has 10 pairs of matched socks . if he loses 5 individual socks , what is the greatest number of pairs of matched socks he can have left ?

0general

if { x } is the product of all even integers from 1 to x inclusive , what is the greatest prime factor of { 18 } + { 16 } ?

0general

a rainstorm increased the amount of water stored in state j reservoirs from 125 billion gallons to 150 billion gallons . if the storm increased the amount of water in the reservoirs to 80 percent of total capacity , approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm ?

0general

in the graduating class of a certain college , 48 percent of the students are male and 52 percent are female . in this class 40 percent of the male and 50 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

if ( a – b ) is 7 more than ( c + d ) and ( a + b ) is 3 less than ( c – d ) , then ( a – c ) is :

0general

a person jogged 10 times along the perimeter of a rectangular field at the rate of 12 kilometers per hour for 30 minutes . if field has a length that is twice its width , find the area of the field in square meters .

3geometry

a man is 27 years older than his son . in two years , his age will be twice the age of his son . the present age of the son is ?

0general

john distributes his pencil among his 4 friends rose , mary , ranjan , and rohit in the ratio 1 / 2 : 1 / 3 : 1 / 4 : 1 / 5 . what is the minimum no . of pencils that the person should have ?

5other

a particular library has 75 books in a special collection , all of which were in the library at the beginning of the month . these book are occasionally loaned out through an inter - library program . if , by the end of the month , 70 percent of books that were loaned out are returned and there are 63 books in the special collection at that time , how many books of the special collection were loaned out during that month ?

2gain

all the faces of cubes are painted with red colour . it is then cut into 64 equal small cubes . find how many small cubes have no faces coloured ?

3geometry

[ ( 3.242 x 16 ) / 100 ] = ?

0general

sabrina is contemplating a job switch . she is thinking of leaving her job paying $ 90000 per year to accept a sales job paying $ 45000 per year plus 15 percent commission for each sale made . if each of her sales is for $ 1500 , what is the least number of sales she must make per year if she is not to lose money because of the job change ?

0general

if ( 1 – 1.25 ) n = 2 , then n =

0general

a computer manufacturer produces a certain electronic component at a cost of $ 80 per component . shipping costs for delivering the components are $ 6 per unit . further , the manufacturer has costs of $ 16,500 a month related to the electronic component regardless of how many it produces . if the manufacturer produces and sells 150 components a month , what is the lowest price it can sell them for such that the costs do n ' t exceed the revenues ?

0general

an outlet pipe can empty 2 / 3 of a cistern in 16 minutes . in 8 minutes , what part of the cistern will be emptied ?

1physics

if a ã — b = 2 a - 3 b + ab , then 3 ã — 4 + 4 ã — 3 is equal to :

0general

the simple interest on a sum of money will be rs . 1000 after 10 years . if the principal is trebled after 5 years what will be the total interest at the end of the tenth year ?

0general

the cash difference between the selling prices of an article at a profit of 4 % and 8 % is rs . 3 . the ratio of the two selling prices is ?

2gain

if shares of two persons in profits are rs . 700 and rs . 300 then ratio of their capitals is

5other

a rectangular room has the rectangular shaped rug shown as above figure such that the rug ’ s area is 160 square feet and its length is 6 feet longer than its width . if the uniform width between the rug and room is 6 feet , what is the area of the region uncovered by the rug ( shaded region ) , in square feet ?

3geometry

an advertising agency finds that , of its 180 clients , 115 use television , 110 use radio and 130 use magazines . also , 85 use television and magazines , 75 use television and radio , 95 use radio and magazines . how many use all the 3 ?

0general

8 friends met for lunch at an expensive restaurant , and everyone decided to contribute equally to the total bill of $ 290 . if one of the friends had a coupon for 29 % off the total bill , and if each friend still contributed equally after the coupon was applied to the bill , how much did each friend pay ?

0general

for a right angle triangle the hypotenuse is 5 and base is 3 . what is the area of the triangle ?

3geometry

during a car trip , maria stopped to rest after she traveled 1 / 2 of the total distance to her destination . she stopped again after she traveled 1 / 4 of the distance remaining between her first stop and her destination , and then she drove the remaining 210 miles to her detination . what was the total distance , in miles from maria ' s starting point to her destination ?

1physics

a train 1000 m long can cross an electric pole in 200 sec and then find the speed of the train ?

1physics

joshua and jose work at an auto repair center with 6 other workers . for a survey on health care insurance , 2 of the 6 workers will be randomly chosen to be interviewed . what is the probability that joshua and jose will both be chosen ?

1physics

what is the units digit of 63 ^ 3 * 17 ^ 3 * 49 ^ 3 ?

0general

what is the probability of randomly selecting an arrangement of the letters of the word ` ` mediterranean ' ' in which the first letter is e and the last letter is r ?

4probability

10 business executives and 3 chairmen meet at a conference . if each business executive shakes the hand of every other business executive and every chairman once , and each chairman shakes the hand of each of the business executives but not the other chairmen , how many handshakes would take place ?

3geometry

a goods train runs at a speed of 72 kmph and crosses a 280 m long platform in 26 seconds . what is the length of the goods train ?

1physics

in a certain brick wall , each row of bricks above the bottom row contains one less brick than the row just below it . if there are 5 rows in all and a total of 100 bricks in the wall , how many bricks does the bottom row contain ?

0general

how many liters of water must be evaporated from 50 liters of a 3 - percent sugar solution to get a 3 - percent solution ?

2gain

average age of 7 members of a family is 29 years . if present age of the youngest member is 5 year , find average age of the remaining members at the time of birth of the youngest member .

0general

there is a 50 % chance jen will visit chile this year , while there is a 25 % chance that she will visit madagascar this year . what is the probability that jen will visit either chile or madagascar this year , but not both ? [ / b ]

4probability

thabo owns exactly 200 books , and each book is either paperback fiction , paperback nonfiction , or hardcover nonfiction . if he owns 20 more paperback nonfiction books than hardcover nonfiction books , and twice as many paperback fiction books as paperback nonfiction books , how many hardcover books nonfiction books does thabo own ?

0general

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 4 cups of tea . last week mo drank a total of 26 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

the market value of a certain machine decreased by 25 percent of its purchase price each year . if the machine was purchased in 1982 for its market value of $ 8,000 , what was its market value two years later ?

2gain

if n is a prime number greater than 3 , what is the remainder when n ^ 2 is divided by 12 ?

0general

in the manufacture of a certain product , 10 percent of the units produced are defective and 5 percent of the defective units are shipped for sale . what percent of the units produced are defective units that are shipped for sale ?

2gain

convert 300 inches into centimeter ?

1physics

a boat goes 130 km downstream in 10 hours , and 75 km upstream in 15 hours . the speed of the stream is ?

1physics

pat , kate , and mark charged a total of 135 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

sum of the squares of 3 no . is 52 and the sum of their products taken two at a time is 72 . find the sum ?

0general

a bag contains 3 red , 2 yellow and 4 green balls . 3 balls are drawn randomly . what is the probability that the balls drawn contain balls of different colours ?

4probability

how many seconds will a 650 m long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 48 km / hr ?

1physics

when positive integer n is divided by 3 , the remainder is 2 . when n is divided by 7 , the remainder is 6 . how many values less than 100 can n take ?

0general

what is the unit digit in [ ( 6273 ) ^ 1793 x ( 625 ) ^ 317 x ( 341 ) ^ 491 ] ?

0general

what is the rate percent when the simple interest on rs . 780 amount to rs . 130 in 4 years ?

2gain

the cross - section of a river bank is a trapezium in shape . if the river bank is 12 m wide at the top and 8 m wide at the bottom and the area of cross - section is 500 sq m , the depth of river bank is ?

1physics

what ratio must a shopkeeper mix peas and soybean of rs . 16 and rs . 25 / kg , as to obtain a mixture of rs . 19 ?

0general

x can do a piece of work in 20 days . he works at it for 10 days and then y finished it in 12 days . how long will y take to complete the work ?

1physics

a man can row upstream at 27 kmph and downstream at 35 kmph , and then find the speed of the man in still water ?

1physics

for any positive integer n , the sum of the first n positive integers equals n ( n + 1 ) / 2 . what is the sum m of all the even integers between 99 and 301 ?

0general