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

Problem stringlengths 5 967	category class label 6 classes
in a rectangular coordinate system , what is the area of a rectangle whose vertices have the coordinates ( - 3 , 1 ) , ( 1 , 1 ) , ( 1 , - 2 ) and ( - 3 , - 2 ) ?	3geometry
in 1970 there were 8,902 women stockbrokers in the united states . by 1978 the number had increased to 22,947 . approximately what was the percent increase ?	0general
a can finish a piece of work in 4 days . b can do it in 8 days . they work together for two days and then a goes away . in how many days will b finish the work ?	1physics
two trains of length 100 m and 200 m are 100 m apart . they start moving towards each other on parallel tracks , at speeds 90 kmph and 72 kmph . in how much time will the trains cross each other ?	1physics
a batsman in his 12 th innings makes a score of 65 and thereby increases his average by 3 runs . what is his average after the 12 th innings if he had never been ‘ not out ’ ?	0general
of 30 applicants for a job , 13 had at least 4 years ' experience , 18 had degrees , and 3 had less than 4 years ' experience and did not have a degree . how many of the applicants had at least 4 years ' experience and a degree ?	0general
a train is 360 meter long is running at a speed of 72 km / hour . in what time will it pass a bridge of 140 meter length ?	1physics
a certain university will select 2 of 3 candidates eligible to fill a position in the mathematics department and 4 of 5 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ?	5other
if 9 spiders make 9 webs in 9 days , then how many days are needed for 1 spider to make 1 web ?	1physics
a bullet train 220 m long is running with a speed of 59 kmph . in what time will it pass a man who is running at 7 kmph in the direction opposite to that in which the bullet train is going ?	1physics
at the wholesale store you can buy an 8 - pack of hot dogs for $ 1.55 , a 20 - pack for $ 3.05 , and a 250 - pack for $ 22.95 . what is the greatest number of hot dogs you can buy at this store with $ 208 ?	0general
two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 26 seconds . the ratio of their speeds is ?	1physics
the spherical ball of lead 3 cm in diameter is melted and recast into 3 spherical balls . the diameters of two of these are 1 ½ cm and 2 cm respectively . the diameter of third ball is ?	1physics
find the number which when multiplied by 15 is increased by 196	0general
a certain university will select 1 of 5 candidates eligible to fill a position in the mathematics department and 4 of 7 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ?	5other
if the speed of a man is 51 km per hour , then what is the distance traveled by him in 30 seconds ?	1physics
the ratio between the sale price and the cost price of an article is 6 : 4 . what is the ratio between the profit and the cost price of that article ?	5other
a person want to give his money of $ 5400 to his 3 children a , b , c in the ratio 2 : 3 : 4 . what is the b ' s share ?	5other
what is the product of first three whole no .	0general
the perimeter of one face of a cube is 32 cm . its volume will be :	3geometry
what is 2 2 / 3 - 1 1 / 4 divided by 1 / 4 - 1 / 6 ?	0general
income and expenditure of a person are in the ratio 10 : 7 . if the income of the person is rs . 10000 , then find his savings ?	5other
if the price of an article went up by 15 % , then by what percent should it be brought down to bring it back to its original price ?	2gain
solution x is 10 percent alcohol by volume , and solution y is 30 percent alcohol by volume . how many milliliters of solution y must be added to 100 milliliters of solution x to create a solution that is 25 percent alcohol by volume ?	0general
one millisecond is 0.001 of a second . the costs for a single run of a computer program are $ 1.07 for operating - system overhead , $ 0.023 per millisecond of computer time , and $ 5.35 for the mounting of a data tape . what is the total of these 3 costs for 1 run of a program that requires 1.5 seconds of computer time ?	0general
if 20 typists can type 46 letters in 20 minutes , then how many letters will 30 typists working at the same rate complete in 1 hour ?	1physics
the figure above shows the dimensions of a semicircular cross section of a one - way tunnel . the single traffic lane is 12 feet wide and is equidistant from the sides of the tunnel . if vehicles must clear the top of the tunnel by at least ½ foot when they are inside the traffic lane , what should be the limit h on the height of vehicles that are allowed to use the tunnel ?	1physics
if 4 x + y = 34 , 2 x - y = 20 , for integers of x and y , y ^ 2 = ?	0general
what is the sum of mean and median of 17 , 45 , 59 , 113 , 76 , 95 , 59 , 35 , 1236 ?	0general
if 0 is the remainder when m is divided by 4 , what is the remainder when 6 m is divided by 4 ?	1physics
if a / b = 5 / 2 , b / c = 1 / 2 , c / d = 1 , d / e = 3 / 2 and e / f = 4 / 3 , then what is the value of abc / def ?	0general
a computer manufacturer produces a certain electronic component at a cost of $ 75 per component . shipping costs for delivering the components are $ 2 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
if paint costs $ 3.20 per quart , and a quart covers 10 square feet , how much will it cost to paint the outside of a cube 10 feet on each edge ?	3geometry
walking 7 / 6 of his usual rate , a boy reaches his school 3 min early . find his usual time to reach the school ?	2gain
in a rectangular coordinate system , what is the area of a triangle whose vertices have the coordinates ( - 1 , 0 ) , ( 7 , 4 ) , and ( 7 , - 4 ) ?	3geometry
in a school of 850 boys , 40 % of muslims , 28 % hindus , 10 % sikhs and the remaining of other communities . how many belonged to the other communities ?	2gain
if a rectangular room measures 9 meters by 5 meters by 4 meters , what is the volume of the room in cubic centimeters ? ( 1 meter = 100 centimeters )	3geometry
the price of a certain painting increased by 20 % during the first year and decreased by 15 % during the second year . the price of the painting at the end of the 2 - year period was what percent of the original price ?	0general
there are 7 books on a shelf , of which 2 are paperbacks and 5 are hardbacks . how many possible selections of 4 books from this shelf include at least one paperback ?	4probability
a man sold 18 toys for rs . 25200 , gaining thereby the cost price of 3 toy find the cost price of a toy	2gain
a , b and c rents a pasture for rs . 870 . a put in 12 horses for 8 months , b 16 horses for 9 months and 18 horses for 6 months . how much should c pay ?	0general
sonika deposited rs . 8000 which amounted to rs . 9200 after 3 years at simple interest . had the interest been 3 % more . she would get how much ?	2gain
the average of first five prime numbers greater than 17 is ?	0general
in a graduating class of 232 students , 144 took geometry and 119 took biology . what is the difference between the greatest possible number i and the smallest possible number of students that could have taken both geometry and biology ?	5other
two alloys a and b are composed of two basic elements . the ratios of the compositions of the two basic elements in the two alloys are 7 : 5 and 1 : 2 , respectively . a new alloy x is formed by mixing the two alloys a and b in the ratio 4 : 3 . what is the ratio of the composition of the two basic elements in alloy x ?	5other
for the past n days , the average ( arithmetic mean ) daily production at a company was 50 units . if today ' s production of 60 units raises the average to 55 units per day , what is the value of n ?	0general
sue ' s trail mix is 30 % nuts and 70 % dried fruit . jane ' s trail mix is 60 % nuts and 40 % chocolate chips . if the combined mixture of sue and jane ' s trails mix contains 55 % nuts , what percent of the combined mixture is dried fruit ?	2gain
think of a number , divide it by 4 and add 9 to it . the result is 15 . what is the number thought of ?	0general
what number is obtained by adding the units digits of 734 ^ 98 and 347 ^ 81 ?	0general
in a new housing development , trees are to be planted along the sidewalk of a certain street . each tree takes up one square foot of sidewalk space , and there are to be 10 feet between each tree . how many trees can be planted if the road is 166 feet long ?	3geometry
a cube is painted red on all faces . it is then cut into 27 equal smaller cubes . how many l cubes are painted on only 2 faces ?	3geometry
let n be the greatest number that will divide 1305 , 4665 and 6905 , leaving the game remainder in each case . then sum of the digits in n is :	0general
in a rectangular coordinate system , what is the area of a quadrilateral whose vertices have the coordinates ( 3 , - 1 ) , ( 3 , 8 ) , ( 12 , 2 ) , ( 12 , - 7 ) ?	3geometry
a train running at a speed of 36 km / h passes an electric pole in 15 seconds . in how many seconds will the whole train pass a 380 - meter long platform ?	1physics
a train running at the speed of 60 km / hr crosses a pole in 21 sec . what is the length of the train ?	1physics
the sum of the first 70 positive even integers is 4,970 . what is the sum of the first 70 odd integers ?	0general
a family consists of two grandparents , two parents , and 3 grandchildren . the average age of the grandparents is 64 years , the average age of the parents is 39 years , and the average age of the grandchildren is 6 years . what is the average age ( in years ) of the family ?	0general
if 0.5 % of a = 70 paise , then the value of a is ?	2gain
darcy lives 1.5 miles from work . she can walk to work at a constant rate of 3 miles per hour , or she can ride the train to work at a constant rate of 20 miles per hour . if she rides the train , there is an additional x minutes spent walking to the nearest train station , waiting for the train , and walking from the final train station to her work . if it takes darcy a total of 15 more minutes to commute to work by walking than it takes her to commute to work by riding the train , what is the value of x ?	1physics
what is the least common multiple of 5,40 , 36,50	0general
the sale price of a trolley bag including the sale tax is rs . 280 . the rate of sale tax is 12 % . if the shopkeeper has made a profit of 25 % , the cost price of the trolley bag is :	2gain
the difference between c . i . and s . i . on an amount of rs . 15,000 for 2 years is rs . 150 . what is the rate of interest per annum ?	2gain
a trader mixes 80 kg of tea at 15 per kg with 20 kg of tea at cost price of 20 per kg . in order to earn a profit of 50 % , what should be the sale price of the mixed tea ?	2gain
in a school 10 % of the boys are same in number as 1 / 3 th of the girls . what is the ratio of boys to the girls in the school ?	5other
in what time will a train 120 meters long completely pass an electric pole , if it travels at a speed of 60 kmph .	1physics
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 e of the machine ?	2gain
how many numbers from 49 to 79 are exactly divisible by 11 ?	0general
in a class of 40 students , 5 students did not borrow any books from the library , 15 students each borrowed 1 book , 10 students each borrowed 2 books , and the rest of the students each borrowed at least 3 books . if the average ( arithmetic mean ) number of books borrowed per student was 2 , what is the maximum number of books that any single student could have borrowed ?	0general
working together , printer a and printer b would finish the task in 24 minutes . printer a alone would finish the task in 60 minutes . how many pages does the task contain if printer b prints 7 pages a minute more than printer a ?	1physics
the jogging track in a sports complex is 640 m in circumference . lata and geeta start from the same point and walk in opposite directions at 4.2 km / hr and 3.8 km / hr respectively . they will meet for the first time in ?	0general
village x has a population of 68000 , which is decreasing at the rate of 1200 per year . village y has a population of 42000 , which is increasing at the rate of 800 per year . in how many years will the population of the two villages be equal ?	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 = 2145 , and if 1 < p < q < r < s , how many students in the class are marketing majors ?	2gain
if a man lost 4 % by selling oranges at the rate of 16 a rupee at how many a rupee must he sell them to gain 28 % ?	2gain
the population of a town increased from 1 , 25,000 to 1 , 50,000 in a decade . the average percent increase of population per year is :	0general
40 persons like apple . 7 like orange and mango dislike apple . 10 like mango and apple and dislike orange . 6 like all . how many people like apple ?	0general
a man purchased 15 pens , 12 books , 10 pencils and 5 erasers . the cost of each pen is rs . 36 , each book is rs . 45 , each pencil is rs . 8 , and the cost of each eraser is rs . 40 less than the combined costs of pen and pencil . find the total amount spent ?	0general
john was 22 years old when he married betty . they just celebrated their fifth wedding anniversary , and betty ' s age is now 7 / 9 of john ' s . how old is betty ?	0general
the profit earned by selling an article for rs . 832 is equal to the loss incurred when the same article is sold for rs . 448 . what should be the sale price for making 60 % profit ?	2gain
workers at a campaign office have 1000 fliers to send out . if they send out 1 / 5 of them in the morning and 1 / 4 of the remaining ones out during the afternoon , how many are left for the next day ?	1physics
a cycle is bought for rs . 1000 and sold for rs . 1080 , find the gain percent ?	2gain
a corporation paid $ 7 million in federal taxes on its first $ 50 million of gross profits and then $ 30 million in federal taxes on the next $ 100 million in gross profits . by approximately what percent did the ratio of federal taxes to gross profits increase from the first $ 50 million in profits to the next $ 100 million in profits ?	2gain
if x ^ 2 + ( 1 / x ^ 2 ) = 2 , x ^ 4 + ( 1 / x ^ 4 ) = ?	0general
the ratio of two quantities is 5 : 8 . if each of the quantities is increased by 10 , what is the ratio of the new quantities ?	5other
in the x - y plane , point ( x , y ) is a lattice point if both x and y are integers . a square has a center at ( 0 , 0 ) and side = 4 . some points , such as the center ( 0 , 0 ) , are inside the square , but a point such as ( 0 , 2 ) is on the square but not in the square . how many lattice points are in the square ?	0general
a boy is travelling from his home to school at 5 km / hr and reached 5 min late . next day he travelled at 10 km / hr and reached 10 min early . distance between home and school ?	1physics
a boat can travel with a speed of 16 km / hr in still water . if the rate of stream is 5 km / hr , then find the time taken by the boat to cover distance of 168 km downstream .	1physics
a cube of side one meter length is cut into small cubes of side 10 cm each . how many such small cubes can be obtained ?	1physics
at what price must an book costing $ 47.50 be marked in order that after deducting 10 % from the list price . it may be sold at a profit of 25 % on the cost price ?	2gain
a gardener wants to plant trees in his garden in such a way that the number of trees in each row should be the same . if there are 8 rows or 6 rows or 4 rows , then no tree will be left . find the least number of trees required	0general
if the sides of a triangle are 78 cm , 72 cm and 30 cm , what is its area ?	3geometry
if 60 % of a number is equal to one half of another number , what is the ratio of first number to the second number ?	5other
it takes avery 2 hours to build a brick wall while tom can do it in 5 hours . if the two start working together and after an hour avery leaves , how much time will it take tom to complete the wall on his own ?	1physics
an amount of rs . 100000 is invested in two types of shares . the first yields an interest of 9 % p . a and the second , 11 % p . a . if the total interest at the end of one year is 9 3 / 5 % , then the amount invested at 11 % was ?	2gain
find the numbers which are in the ratio 3 : 2 : 2 such that the sum of the first and the second added to the difference of the third and the second is 20 ?	0general
a shopkeeper loses 15 % , if an article is sold for rs . 170 . what should be the selling price of the article to gain 20 % ?	2gain
mary ' s income is 50 percent more than tim ' s income , and tim ' s income is 40 percent less than juan ' s income . what percent of juan ' s income is mary ' s income ?	0general
peter invests a sum of money and gets back an amount of $ 800 in 3 years . david invests an equal amount of money and gets an amount of $ 854 in 4 years . if both amounts were invested at the same rate ( simple interest ) what was the sum of money invested ?	2gain
the radius of a wheel is 22.4 cm . what is the distance covered by the wheel in making 200 resolutions .	1physics
what is the value of 3 x ^ 2 − 1.8 x + 0.6 for x = 0.6 ?	0general
mr . hernandez , who was a resident of state x for only 12 months last year , had a taxable income of $ 22,500 for the year . if the state tax rate were 4 percent of the year ’ s taxable income prorated for the proportion of the year during which the taxpayer was a resident , what would be the amount of mr . hernandez ’ s state x tax for last year ?	2gain

in a rectangular coordinate system , what is the area of a rectangle whose vertices have the coordinates ( - 3 , 1 ) , ( 1 , 1 ) , ( 1 , - 2 ) and ( - 3 , - 2 ) ?

3geometry

in 1970 there were 8,902 women stockbrokers in the united states . by 1978 the number had increased to 22,947 . approximately what was the percent increase ?

0general

a can finish a piece of work in 4 days . b can do it in 8 days . they work together for two days and then a goes away . in how many days will b finish the work ?

1physics

two trains of length 100 m and 200 m are 100 m apart . they start moving towards each other on parallel tracks , at speeds 90 kmph and 72 kmph . in how much time will the trains cross each other ?

1physics

a batsman in his 12 th innings makes a score of 65 and thereby increases his average by 3 runs . what is his average after the 12 th innings if he had never been ‘ not out ’ ?

0general

of 30 applicants for a job , 13 had at least 4 years ' experience , 18 had degrees , and 3 had less than 4 years ' experience and did not have a degree . how many of the applicants had at least 4 years ' experience and a degree ?

0general

a train is 360 meter long is running at a speed of 72 km / hour . in what time will it pass a bridge of 140 meter length ?

1physics

a certain university will select 2 of 3 candidates eligible to fill a position in the mathematics department and 4 of 5 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ?

5other

if 9 spiders make 9 webs in 9 days , then how many days are needed for 1 spider to make 1 web ?

1physics

a bullet train 220 m long is running with a speed of 59 kmph . in what time will it pass a man who is running at 7 kmph in the direction opposite to that in which the bullet train is going ?

1physics

at the wholesale store you can buy an 8 - pack of hot dogs for $ 1.55 , a 20 - pack for $ 3.05 , and a 250 - pack for $ 22.95 . what is the greatest number of hot dogs you can buy at this store with $ 208 ?

0general

two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 26 seconds . the ratio of their speeds is ?

1physics

the spherical ball of lead 3 cm in diameter is melted and recast into 3 spherical balls . the diameters of two of these are 1 ½ cm and 2 cm respectively . the diameter of third ball is ?

1physics

find the number which when multiplied by 15 is increased by 196

0general

a certain university will select 1 of 5 candidates eligible to fill a position in the mathematics department and 4 of 7 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ?

5other

if the speed of a man is 51 km per hour , then what is the distance traveled by him in 30 seconds ?

1physics

the ratio between the sale price and the cost price of an article is 6 : 4 . what is the ratio between the profit and the cost price of that article ?

5other

a person want to give his money of $ 5400 to his 3 children a , b , c in the ratio 2 : 3 : 4 . what is the b ' s share ?

5other

what is the product of first three whole no .

0general

the perimeter of one face of a cube is 32 cm . its volume will be :

3geometry

what is 2 2 / 3 - 1 1 / 4 divided by 1 / 4 - 1 / 6 ?

0general

income and expenditure of a person are in the ratio 10 : 7 . if the income of the person is rs . 10000 , then find his savings ?

5other

if the price of an article went up by 15 % , then by what percent should it be brought down to bring it back to its original price ?

2gain

solution x is 10 percent alcohol by volume , and solution y is 30 percent alcohol by volume . how many milliliters of solution y must be added to 100 milliliters of solution x to create a solution that is 25 percent alcohol by volume ?

0general

one millisecond is 0.001 of a second . the costs for a single run of a computer program are $ 1.07 for operating - system overhead , $ 0.023 per millisecond of computer time , and $ 5.35 for the mounting of a data tape . what is the total of these 3 costs for 1 run of a program that requires 1.5 seconds of computer time ?

0general

if 20 typists can type 46 letters in 20 minutes , then how many letters will 30 typists working at the same rate complete in 1 hour ?

1physics

the figure above shows the dimensions of a semicircular cross section of a one - way tunnel . the single traffic lane is 12 feet wide and is equidistant from the sides of the tunnel . if vehicles must clear the top of the tunnel by at least ½ foot when they are inside the traffic lane , what should be the limit h on the height of vehicles that are allowed to use the tunnel ?

1physics

if 4 x + y = 34 , 2 x - y = 20 , for integers of x and y , y ^ 2 = ?

0general

what is the sum of mean and median of 17 , 45 , 59 , 113 , 76 , 95 , 59 , 35 , 1236 ?

0general

if 0 is the remainder when m is divided by 4 , what is the remainder when 6 m is divided by 4 ?

1physics

if a / b = 5 / 2 , b / c = 1 / 2 , c / d = 1 , d / e = 3 / 2 and e / f = 4 / 3 , then what is the value of abc / def ?

0general

a computer manufacturer produces a certain electronic component at a cost of $ 75 per component . shipping costs for delivering the components are $ 2 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

if paint costs $ 3.20 per quart , and a quart covers 10 square feet , how much will it cost to paint the outside of a cube 10 feet on each edge ?

3geometry

walking 7 / 6 of his usual rate , a boy reaches his school 3 min early . find his usual time to reach the school ?

2gain

in a rectangular coordinate system , what is the area of a triangle whose vertices have the coordinates ( - 1 , 0 ) , ( 7 , 4 ) , and ( 7 , - 4 ) ?

3geometry

in a school of 850 boys , 40 % of muslims , 28 % hindus , 10 % sikhs and the remaining of other communities . how many belonged to the other communities ?

2gain

if a rectangular room measures 9 meters by 5 meters by 4 meters , what is the volume of the room in cubic centimeters ? ( 1 meter = 100 centimeters )

3geometry

the price of a certain painting increased by 20 % during the first year and decreased by 15 % during the second year . the price of the painting at the end of the 2 - year period was what percent of the original price ?

0general

there are 7 books on a shelf , of which 2 are paperbacks and 5 are hardbacks . how many possible selections of 4 books from this shelf include at least one paperback ?

4probability

a man sold 18 toys for rs . 25200 , gaining thereby the cost price of 3 toy find the cost price of a toy

2gain

a , b and c rents a pasture for rs . 870 . a put in 12 horses for 8 months , b 16 horses for 9 months and 18 horses for 6 months . how much should c pay ?

0general

sonika deposited rs . 8000 which amounted to rs . 9200 after 3 years at simple interest . had the interest been 3 % more . she would get how much ?

2gain

the average of first five prime numbers greater than 17 is ?

0general

in a graduating class of 232 students , 144 took geometry and 119 took biology . what is the difference between the greatest possible number i and the smallest possible number of students that could have taken both geometry and biology ?

5other

two alloys a and b are composed of two basic elements . the ratios of the compositions of the two basic elements in the two alloys are 7 : 5 and 1 : 2 , respectively . a new alloy x is formed by mixing the two alloys a and b in the ratio 4 : 3 . what is the ratio of the composition of the two basic elements in alloy x ?

5other

for the past n days , the average ( arithmetic mean ) daily production at a company was 50 units . if today ' s production of 60 units raises the average to 55 units per day , what is the value of n ?

0general

sue ' s trail mix is 30 % nuts and 70 % dried fruit . jane ' s trail mix is 60 % nuts and 40 % chocolate chips . if the combined mixture of sue and jane ' s trails mix contains 55 % nuts , what percent of the combined mixture is dried fruit ?

2gain

think of a number , divide it by 4 and add 9 to it . the result is 15 . what is the number thought of ?

0general

what number is obtained by adding the units digits of 734 ^ 98 and 347 ^ 81 ?

0general

in a new housing development , trees are to be planted along the sidewalk of a certain street . each tree takes up one square foot of sidewalk space , and there are to be 10 feet between each tree . how many trees can be planted if the road is 166 feet long ?

3geometry

a cube is painted red on all faces . it is then cut into 27 equal smaller cubes . how many l cubes are painted on only 2 faces ?

3geometry

let n be the greatest number that will divide 1305 , 4665 and 6905 , leaving the game remainder in each case . then sum of the digits in n is :

0general

in a rectangular coordinate system , what is the area of a quadrilateral whose vertices have the coordinates ( 3 , - 1 ) , ( 3 , 8 ) , ( 12 , 2 ) , ( 12 , - 7 ) ?

3geometry

a train running at a speed of 36 km / h passes an electric pole in 15 seconds . in how many seconds will the whole train pass a 380 - meter long platform ?

1physics

a train running at the speed of 60 km / hr crosses a pole in 21 sec . what is the length of the train ?

1physics

the sum of the first 70 positive even integers is 4,970 . what is the sum of the first 70 odd integers ?

0general

a family consists of two grandparents , two parents , and 3 grandchildren . the average age of the grandparents is 64 years , the average age of the parents is 39 years , and the average age of the grandchildren is 6 years . what is the average age ( in years ) of the family ?

0general

if 0.5 % of a = 70 paise , then the value of a is ?

2gain

darcy lives 1.5 miles from work . she can walk to work at a constant rate of 3 miles per hour , or she can ride the train to work at a constant rate of 20 miles per hour . if she rides the train , there is an additional x minutes spent walking to the nearest train station , waiting for the train , and walking from the final train station to her work . if it takes darcy a total of 15 more minutes to commute to work by walking than it takes her to commute to work by riding the train , what is the value of x ?

1physics

what is the least common multiple of 5,40 , 36,50

0general

the sale price of a trolley bag including the sale tax is rs . 280 . the rate of sale tax is 12 % . if the shopkeeper has made a profit of 25 % , the cost price of the trolley bag is :

2gain

the difference between c . i . and s . i . on an amount of rs . 15,000 for 2 years is rs . 150 . what is the rate of interest per annum ?

2gain

a trader mixes 80 kg of tea at 15 per kg with 20 kg of tea at cost price of 20 per kg . in order to earn a profit of 50 % , what should be the sale price of the mixed tea ?

2gain

in a school 10 % of the boys are same in number as 1 / 3 th of the girls . what is the ratio of boys to the girls in the school ?

5other

in what time will a train 120 meters long completely pass an electric pole , if it travels at a speed of 60 kmph .

1physics

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 e of the machine ?

2gain

how many numbers from 49 to 79 are exactly divisible by 11 ?

0general

in a class of 40 students , 5 students did not borrow any books from the library , 15 students each borrowed 1 book , 10 students each borrowed 2 books , and the rest of the students each borrowed at least 3 books . if the average ( arithmetic mean ) number of books borrowed per student was 2 , what is the maximum number of books that any single student could have borrowed ?

0general

working together , printer a and printer b would finish the task in 24 minutes . printer a alone would finish the task in 60 minutes . how many pages does the task contain if printer b prints 7 pages a minute more than printer a ?

1physics

the jogging track in a sports complex is 640 m in circumference . lata and geeta start from the same point and walk in opposite directions at 4.2 km / hr and 3.8 km / hr respectively . they will meet for the first time in ?

0general

village x has a population of 68000 , which is decreasing at the rate of 1200 per year . village y has a population of 42000 , which is increasing at the rate of 800 per year . in how many years will the population of the two villages be equal ?

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 = 2145 , and if 1 < p < q < r < s , how many students in the class are marketing majors ?

2gain

if a man lost 4 % by selling oranges at the rate of 16 a rupee at how many a rupee must he sell them to gain 28 % ?

2gain

the population of a town increased from 1 , 25,000 to 1 , 50,000 in a decade . the average percent increase of population per year is :

0general

40 persons like apple . 7 like orange and mango dislike apple . 10 like mango and apple and dislike orange . 6 like all . how many people like apple ?

0general

a man purchased 15 pens , 12 books , 10 pencils and 5 erasers . the cost of each pen is rs . 36 , each book is rs . 45 , each pencil is rs . 8 , and the cost of each eraser is rs . 40 less than the combined costs of pen and pencil . find the total amount spent ?

0general

john was 22 years old when he married betty . they just celebrated their fifth wedding anniversary , and betty ' s age is now 7 / 9 of john ' s . how old is betty ?

0general

the profit earned by selling an article for rs . 832 is equal to the loss incurred when the same article is sold for rs . 448 . what should be the sale price for making 60 % profit ?

2gain

workers at a campaign office have 1000 fliers to send out . if they send out 1 / 5 of them in the morning and 1 / 4 of the remaining ones out during the afternoon , how many are left for the next day ?

1physics

a cycle is bought for rs . 1000 and sold for rs . 1080 , find the gain percent ?

2gain

a corporation paid $ 7 million in federal taxes on its first $ 50 million of gross profits and then $ 30 million in federal taxes on the next $ 100 million in gross profits . by approximately what percent did the ratio of federal taxes to gross profits increase from the first $ 50 million in profits to the next $ 100 million in profits ?

2gain

if x ^ 2 + ( 1 / x ^ 2 ) = 2 , x ^ 4 + ( 1 / x ^ 4 ) = ?

0general

the ratio of two quantities is 5 : 8 . if each of the quantities is increased by 10 , what is the ratio of the new quantities ?

5other

in the x - y plane , point ( x , y ) is a lattice point if both x and y are integers . a square has a center at ( 0 , 0 ) and side = 4 . some points , such as the center ( 0 , 0 ) , are inside the square , but a point such as ( 0 , 2 ) is on the square but not in the square . how many lattice points are in the square ?

0general

a boy is travelling from his home to school at 5 km / hr and reached 5 min late . next day he travelled at 10 km / hr and reached 10 min early . distance between home and school ?

1physics

a boat can travel with a speed of 16 km / hr in still water . if the rate of stream is 5 km / hr , then find the time taken by the boat to cover distance of 168 km downstream .

1physics

a cube of side one meter length is cut into small cubes of side 10 cm each . how many such small cubes can be obtained ?

1physics

at what price must an book costing $ 47.50 be marked in order that after deducting 10 % from the list price . it may be sold at a profit of 25 % on the cost price ?

2gain

a gardener wants to plant trees in his garden in such a way that the number of trees in each row should be the same . if there are 8 rows or 6 rows or 4 rows , then no tree will be left . find the least number of trees required

0general

if the sides of a triangle are 78 cm , 72 cm and 30 cm , what is its area ?

3geometry

if 60 % of a number is equal to one half of another number , what is the ratio of first number to the second number ?

5other

it takes avery 2 hours to build a brick wall while tom can do it in 5 hours . if the two start working together and after an hour avery leaves , how much time will it take tom to complete the wall on his own ?

1physics

an amount of rs . 100000 is invested in two types of shares . the first yields an interest of 9 % p . a and the second , 11 % p . a . if the total interest at the end of one year is 9 3 / 5 % , then the amount invested at 11 % was ?

2gain

find the numbers which are in the ratio 3 : 2 : 2 such that the sum of the first and the second added to the difference of the third and the second is 20 ?

0general

a shopkeeper loses 15 % , if an article is sold for rs . 170 . what should be the selling price of the article to gain 20 % ?

2gain

mary ' s income is 50 percent more than tim ' s income , and tim ' s income is 40 percent less than juan ' s income . what percent of juan ' s income is mary ' s income ?

0general

peter invests a sum of money and gets back an amount of $ 800 in 3 years . david invests an equal amount of money and gets an amount of $ 854 in 4 years . if both amounts were invested at the same rate ( simple interest ) what was the sum of money invested ?

2gain

the radius of a wheel is 22.4 cm . what is the distance covered by the wheel in making 200 resolutions .

1physics

what is the value of 3 x ^ 2 − 1.8 x + 0.6 for x = 0.6 ?

0general

mr . hernandez , who was a resident of state x for only 12 months last year , had a taxable income of $ 22,500 for the year . if the state tax rate were 4 percent of the year ’ s taxable income prorated for the proportion of the year during which the taxpayer was a resident , what would be the amount of mr . hernandez ’ s state x tax for last year ?

2gain