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

Problem stringlengths 5 967	category class label 6 classes
the unit digit in the product 1256 * 6785 * 4587 * 9785 is ?	0general
a man can row upstream at 60 kmph and downstream at 90 kmph , and then find the speed of the man in still water ?	1physics
a train running at the speed of 52 km / hr crosses a pole in 9 sec . what is the length of the train ?	1physics
find the sum lend at c . i . at 5 p . c per annum will amount to rs . 441 in 2 years ?	0general
solve the quickfire maths brain teaser â ˆ š 36 % = ?	2gain
a salesman ’ s terms were changed from a flat commission of 5 % on all his sales to a fixed salary of rs . 900 plus 2.5 % commission on all sales exceeding rs . 4,000 . if his remuneration as per new scheme was rs . 600 more than that by the previous schema , his sales were worth ?	0general
jaime earned enough money by selling seashells at 30 cents each to buy several used paperback books at 55 cents each . if he spent all of the money he earned selling seashells to buy the books , what is the least number of seashells he could have sold ?	0general
a car gets 40 kilometers per gallon of gasoline . how many gallons of gasoline would the car need to travel 180 kilometers ?	1physics
what is the area of a square field whose diagonal of length 18 m ?	3geometry
a car covers a distance of 624 km in 3 1 / 5 hours . find its speed ?	1physics
a train which has 400 m long , is running 45 kmph . in what time will it cross a person moving at 9 kmph in same direction ?	1physics
if an integer n is to be selected at random from 1 to 100 , inclusive , what is probability n ( n + 1 ) will be divisible by 5 ?	0general
each of the integers from 0 to 9 , inclusive , is written on a separate slip of blank paper and the ten slips are dropped into a hat . if 4 of the slips are the drawn , without replacement , what is the probability that all 4 have a odd number written on it ?	2gain
a superhero flies at an incredible rate of 1000 kilometers per minute . what is her speed in miles per hour ? [ 1 km = 0.6 miles ]	1physics
5100 − ( 102 ÷ 20.4 ) = ?	0general
what least number should be subtracted from 13603 such that the remainder is divisible by 87 ?	0general
in a sports club with 30 members , 17 play badminton and 21 play tennis and 2 do not play either . how many members play both badminton and tennis ?	5other
in 40 litres of a mixture , the ratio of milk to water is 7 : 1 . in order to make the ratio of milk to water as 3 : 1 , the quantity of water that should be added to the mixture will be ?	0general
300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds . what is the length of the platform ?	1physics
a person want to give his money of $ 12000 to his 5 children a , b , c , d , e in the ratio 2 : 4 : 3 : 1 : 5 . what is the d + e share ?	5other
an enterprising businessman earns an income of re 1 on the first day of his business . on every subsequent day , he earns an income which is just double of that made on the previous day . on the 20 th day of business , he earns an income of :	1physics
two cars started from the same point , at 5 am , traveling in opposite directions at 40 and 50 mph respectively . at what time will they be 450 miles apart ?	1physics
if 8 men or 12 women can do a piece of work in 20 days , in how many days can the same work be done by 6 men and 11 women ?	1physics
3 men can complete a piece of work in 6 days . two days after they started the work , 3 more men joined them . how many days will they take to complete the remaining work ?	1physics
36 people { a 1 , a 2 … a 36 } meet and shake hands in a circular fashion . in other words , there are totally 36 handshakes involving the pairs , { a 1 , a 2 } , { a 2 , a 3 } , … , { a 35 , a 36 } , { a 36 , a 1 } . then size of the smallest set of people such that the rest have shaken hands with at least one person in the set is	3geometry
rates for having a manuscript typed at a certain typing service are $ 6 per page for the first time a page is typed and $ 4 per page each time a page is revised . if a certain manuscript has 100 pages , of which 35 were revised only once , 15 were revised twice , and the rest required no revisions , what was the total cost of having the manuscript typed ?	0general
the perimeter of a semi circle is 216 cm then the radius is ?	1physics
a train 360 metre long runs with a speed of 45 km / hr . what time will it take to pass a platform of 140 metre long ?	1physics
the events a and b are independent , the probability that event a occurs is greater than 0 , and the probability that event a occurs is twice the probability that event b occurs . the probability that at least one of events a and b occurs is 18 times the probability that both events a and b occur . what is the probability that event a occurs ?	0general
a student got twice as many sums wrong as he got right . if he attempted 24 sums in all , how many did he solve correctly ?	0general
a 300 m long train crosses a platform in 42 sec while it crosses a signal pole in 18 sec . what is the length of the platform ?	1physics
a fashion designer sold a pair of jeans to a retail store for 40 percent more than it cost to manufacture the pair of jeans . a customer bought the pair of jeans for 10 percent more than the retailer paid for them . the price the customer paid was what percent greater than the cost of manufacturing the jeans ?	2gain
the time it took car p to travel 900 miles was 2 hours less than the time it took car r to travel the same distance . if car p ’ s average speed was 10 miles per hour greater than that of car r , what was car r ’ s average speed , in miles per hour ?	1physics
how many seconds will a 400 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 63 km / hr ?	1physics
a certain company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales in 1997 were up 7 percent from 1996 . if total revenues from car sales and truck sales in 1997 were up 1 percent from 1996 , what is the ratio of revenue from car sales in 1996 to revenue from truck sales in 1996 ?	5other
a sum was put at simple interest at a certain rate for 10 years . had it been put at 5 % higher rate , it would have fetched rs . 150 more . what was the sum ?	2gain
12 men can complete a piece of work in 4 days , while 15 women can complete the same work in 4 days . 6 men start working on the job and after working for 2 days , all of them stopped working . how many women should be put on the job to complete the remaining work , if it so to be completed in 3 days ?	1physics
in a stream running at 2 kmph , a motor boat goes 10 km upstream and back again to the starting point in 55 minutes . find the speed of motor boat in still water ?	1physics
a train 100 m long can cross an electric pole in 20 sec and then find the speed of the train ?	1physics
if the sales tax be reduced from 4 ( 1 / 5 ) % to 3 ( 1 / 4 ) % , then what difference does it make to a person who purchases a bag with marked price of rs . 5400 ?	0general
there are 2 sections a and b in a class , consisting of 30 and 20 students respectively . if the average weight of section a is 40 kg and that of section b is 35 kg , find the average of the whole class ?	0general
a person can swim in still water at 6 km / h . if the speed of water 2 km / h , how many hours will the man take to swim back against the current for 14 km ?	1physics
two numbers are respectively 12 % and 60 % more than a third number . the percentage that is first of the second is ?	2gain
buses a and b start from a common bus stop x . bus a begins to travel in a straight line away from bus b at a constant rate of 40 miles per hour . one hour later , bus b begins to travel in a straight line in the exact opposite direction at a constant rate of 80 miles per hour . if both buses travel indefinitely , what is the positive difference , in minutes , between the amount of time it takes bus b to cover the exact distance that bus a has covered and the amount of time it takes bus b to cover twice the distance that bus a has covered ?	1physics
a train 125 m long passes a man , running at 8 km / hr in the same direction in which the train is going , in 10 seconds . the speed of the train is :	1physics
when tossed , a certain coin has an equal probability of landing on either side . if the coin is tossed 5 times , what is the probability that it will land on the same side each time ?	4probability
the closest approximation of d ( 69.28 × 0.004 ) / 0.03 is	0general
in a 1000 m race , a beats b by 200 meters or 25 seconds . find the speed of b ?	1physics
robert ' s salary was decreased by 50 % and subsequently increased by 50 % . how much percentage does he lose ?	0general
the average age of 10 members of a committee is the same as it was 4 years ago , because an old member has been replaced by a young member . find how much younger is the new member ?	0general
tea worth rs . 126 per kg are mixed with a third variety in the ratio 1 : 1 : 2 . if the mixture is worth rs . 157 per kg , the price of the third variety per kg will be	5other
if 75 percent of 600 is 50 percent of x , then x = ?	0general
there were 35 students in a hostel . due to the admission of 7 new students , the expenses of mess were increased by 42 per day while the average expenditure per head diminished by 1 . what was the original expenditure of the mess ?	0general
a person can row at 10 kmph and still water . he takes 5 hours to row from a to b and back . what is the distance between a and b if the speed of the stream is 2 kmph ?	1physics
a tour group of 25 people paid a total of $ 945 for entrance to a museum . if this price included a 5 % sales tax , and all the tickets cost the same amount , what was the face value of each ticket price without the sales tax ? choices	0general
carrie likes to buy t - shirts at the local clothing store . they cost $ 8.55 each . one day , she bought 9 t - shirts . how much money did she spend ?	0general
what is the average of the first 10 multiples of 11 ?	0general
the difference between the squares of two consecutive numbers is 37 . find the numbers .	1physics
a miniature roulette wheel is divided into 10 equal sectors , each bearing a distinct integer from 1 to 10 , inclusive . each time the wheel is spun , a ball randomly determines the winning sector by settling in that sector . if the wheel is spun four times , approximately what is the probability that the product of the four winning sectors ’ integers will be even ?	0general
the diagonals of a rhombus are 25 cm and 30 cm . find its area ?	3geometry
what is 120 % of 13 / 24 of 840 ?	2gain
the avg weight of a , b & c is 84 kg . if d joins the group , the avg weight of the group becomes 80 kg . if another man e who weights is 5 kg more than d replaces a , then the avgof b , c , d & e becomes 79 kg . what is the weight of a ?	0general
at golds gym class can be divided into 8 teams with an equal number of players on each team or into 12 teams with an equal number of players on each team . what is the lowest possible number of students in the class ?	0general
how many internal diagonals does a hexagon ( 6 sided polygon ) have ?	3geometry
a man sells an article at a profit of 25 % . if he had bought it at 20 % less and sold it for rs . 14.70 less , he would have gained 30 % . find the cost of the article .	2gain
find the principle on a certain sum of money at 5 % per annum for 2 2 / 5 years if the amount being rs . 1568 ?	0general
the average ( arithmetic mean ) of the even integers from 0 to 200 inclusive is how much greater than the average ( arithmetic mean ) of the even integers from 0 to 100 inclusive ?	0general
by selling 22 pencils for a rupee a man loses 20 % . how many for a rupee should he sell in order to gain 20 % ?	2gain
solve the equation for x : 19 ( x + y ) + 17 = 19 ( - x + y ) - 21	0general
how many seconds will a 700 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 63 km / hr ?	1physics
two concentric circles form a ring . the inner and outer circumferences of ring are ( 352 / 7 ) m and ( 518 / 7 ) m respectively . find the width of the ring .	1physics
a person decided to build a house in 100 days . he employed 100 men in the beginning and 100 more after 25 days and completed the construction in stipulated time . if he had not employed the additional men , how many days behind schedule would it have been finished ?	0general
the initial price of an article is rs . 4000 which increases 40 % increse in its price in the first year , a 20 % decrease in the second year and a 20 % increase in the next year . what is the final price of the article ?	0general
if 3 men or 4 women can reap a field in 10 days how long will 5 men and 6 women take to reap it ?	1physics
qames can eat 25 marshmallows is 20 minutes . dylan can eat 25 in one hour . in how much time will the two eat 150 marshmallows ?	1physics
ajay and balu together can do a piece of work in 12 days . balu and charan together can do the same work in 16 days . after ajay has been working at it for 5 days and balu for 7 days , charan finishes it in 13 days . in how many days will charan alone be able to do the work ?	1physics
city a to city b , john drove for 1 hour at 40 mph and for 3 hours at 60 mph . what was the average speed for the whole trip ?	1physics
if each digit in the set a = { 1 , 2 , 3 , 4 , 5 , 6 } is used exactly once , in how many ways can the digits be arranged ?	0general
find the average of all prime numbers between 12 and 24 .	0general
a ’ s speed is 20 / 19 times that of b . if a and b run a race , what part of the length of the race should a give b as a head start , so that the race ends in a dead heat ?	0general
sheila works 8 hours per day on monday , wednesday and friday , and 6 hours per day on tuesday and thursday . she does not work on saturday and sunday . she earns $ 504 per week . how much does she earn in dollars per hour ?	1physics
if 1 = 6 , 2 = 12 , 3 = 18 , 4 = 24 , 5 = 30 , then 6 = ?	0general
3 partners a , b , c start a business . twice a ’ s capital is equal to thrice b ’ s capital and b ’ s capital is 4 times c ’ s capital . out of a total profit of rs . 16500 at the end of the year , b ’ share is :	0general
a certain college ' s enrollment at the beginning of 1992 was 20 percent greater than it was at the beginning of 1991 , and its enrollment at the beginning of 1993 was 25 percent greater than it was at the beginning of 1992 . the college ' s enrollment at the beginning of 1993 was what percent greater than its enrollment at the beginning of 1991 ?	2gain
a is three times as fast as b . if b alone can do a piece of work in 12 days , in what time can a and b together complete the work ?	1physics
by selling 10 pencils for a rupee a man loses 15 % . how many for a rupee should he sell in order to gain 15 % ?	2gain
a trader bought a car at 20 % discount on its original price . he sold it at a 100 % increase on the price he bought it . what percent of profit did he make on the original price ?	2gain
a can complete a certain job in 7 days . b is 40 % more efficient than a . in how many days can b complete the same job ?	2gain
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 t on the height of vehicles that are allowed to use the tunnel ?	1physics
if a motorist had driven 1 hour longer on a certain day and at an average rate of 5 miles per hour faster , he would have covered 70 more miles than he actually did . how many more miles would he have covered than he actually did if he had driven 2 hours longer and at an average rate of 10 miles per hour faster on that day ?	1physics
a glass was filled with 40 ounces of water , and 0.01 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
a family pays $ 800 per year for an insurance plan that pays 60 percent of the first $ 1,000 in expenses and 100 percent of all medical expenses thereafter . in any given year , the total amount paid by the family will equal the amount paid by the plan when the family ' s medical expenses total how much ?	0general
mike and his friend are going on a road trip and hoping to miss traffic . if they are driving at a rate of 6 miles per minute , what is their speed in kilometers per hour ? [ 1 km = 0.6 miles ]	1physics
the amount of an investment will double in approximately 70 / p years , where p is the percent interest , compounded annually . if thelma invests $ 30,000 in a long - term cd that pays 5 percent interest , compounded annually , what will be the approximate total value of the investment when thelma is ready to retire 42 years later ?	0general
the average weight of 10 students decreases by 6 kg when one of them weighing 120 kg is replaced by a new student . the weight of the student is	0general
the length of a rectangular landscape is 4 times its breadth . there is a playground in it whose area is 1200 square mtr & which is 1 / 3 rd of the total landscape . what is the length of the landscape ?	3geometry
each week , harry is paid x dollars per hour for the first 30 hours and 2 x dollars for each additional hour worked that week . each week , james is paid x dollars per per hour for the first 40 hours and 2 x dollars for each additional hour worked that week . last week james worked a total of 41 hours if harry and james were paid the same amount last week , how many hours did harry work last week ?	0general
the sum of 3 numbers is 98 . the ratio of the first to the second is 2 / 3 , and the ratio of the second to the third is 5 / 8 . the second number is :	0general
a trader sold an article on a certain price with 20 % profit . if he sold double of previous selling price then find its profit %	2gain
if a and b get profits of rs . 6000 and rs . 4000 respectively at the end of year the ratio of their investments are ?	2gain

the unit digit in the product 1256 * 6785 * 4587 * 9785 is ?

0general

a man can row upstream at 60 kmph and downstream at 90 kmph , and then find the speed of the man in still water ?

1physics

a train running at the speed of 52 km / hr crosses a pole in 9 sec . what is the length of the train ?

1physics

find the sum lend at c . i . at 5 p . c per annum will amount to rs . 441 in 2 years ?

0general

solve the quickfire maths brain teaser â ˆ š 36 % = ?

2gain

a salesman ’ s terms were changed from a flat commission of 5 % on all his sales to a fixed salary of rs . 900 plus 2.5 % commission on all sales exceeding rs . 4,000 . if his remuneration as per new scheme was rs . 600 more than that by the previous schema , his sales were worth ?

0general

jaime earned enough money by selling seashells at 30 cents each to buy several used paperback books at 55 cents each . if he spent all of the money he earned selling seashells to buy the books , what is the least number of seashells he could have sold ?

0general

a car gets 40 kilometers per gallon of gasoline . how many gallons of gasoline would the car need to travel 180 kilometers ?

1physics

what is the area of a square field whose diagonal of length 18 m ?

3geometry

a car covers a distance of 624 km in 3 1 / 5 hours . find its speed ?

1physics

a train which has 400 m long , is running 45 kmph . in what time will it cross a person moving at 9 kmph in same direction ?

1physics

if an integer n is to be selected at random from 1 to 100 , inclusive , what is probability n ( n + 1 ) will be divisible by 5 ?

0general

each of the integers from 0 to 9 , inclusive , is written on a separate slip of blank paper and the ten slips are dropped into a hat . if 4 of the slips are the drawn , without replacement , what is the probability that all 4 have a odd number written on it ?

2gain

a superhero flies at an incredible rate of 1000 kilometers per minute . what is her speed in miles per hour ? [ 1 km = 0.6 miles ]

1physics

5100 − ( 102 ÷ 20.4 ) = ?

0general

what least number should be subtracted from 13603 such that the remainder is divisible by 87 ?

0general

in a sports club with 30 members , 17 play badminton and 21 play tennis and 2 do not play either . how many members play both badminton and tennis ?

5other

in 40 litres of a mixture , the ratio of milk to water is 7 : 1 . in order to make the ratio of milk to water as 3 : 1 , the quantity of water that should be added to the mixture will be ?

0general

300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds . what is the length of the platform ?

1physics

a person want to give his money of $ 12000 to his 5 children a , b , c , d , e in the ratio 2 : 4 : 3 : 1 : 5 . what is the d + e share ?

5other

an enterprising businessman earns an income of re 1 on the first day of his business . on every subsequent day , he earns an income which is just double of that made on the previous day . on the 20 th day of business , he earns an income of :

1physics

two cars started from the same point , at 5 am , traveling in opposite directions at 40 and 50 mph respectively . at what time will they be 450 miles apart ?

1physics

if 8 men or 12 women can do a piece of work in 20 days , in how many days can the same work be done by 6 men and 11 women ?

1physics

3 men can complete a piece of work in 6 days . two days after they started the work , 3 more men joined them . how many days will they take to complete the remaining work ?

1physics

36 people { a 1 , a 2 … a 36 } meet and shake hands in a circular fashion . in other words , there are totally 36 handshakes involving the pairs , { a 1 , a 2 } , { a 2 , a 3 } , … , { a 35 , a 36 } , { a 36 , a 1 } . then size of the smallest set of people such that the rest have shaken hands with at least one person in the set is

3geometry

rates for having a manuscript typed at a certain typing service are $ 6 per page for the first time a page is typed and $ 4 per page each time a page is revised . if a certain manuscript has 100 pages , of which 35 were revised only once , 15 were revised twice , and the rest required no revisions , what was the total cost of having the manuscript typed ?

0general

the perimeter of a semi circle is 216 cm then the radius is ?

1physics

a train 360 metre long runs with a speed of 45 km / hr . what time will it take to pass a platform of 140 metre long ?

1physics

the events a and b are independent , the probability that event a occurs is greater than 0 , and the probability that event a occurs is twice the probability that event b occurs . the probability that at least one of events a and b occurs is 18 times the probability that both events a and b occur . what is the probability that event a occurs ?

0general

a student got twice as many sums wrong as he got right . if he attempted 24 sums in all , how many did he solve correctly ?

0general

a 300 m long train crosses a platform in 42 sec while it crosses a signal pole in 18 sec . what is the length of the platform ?

1physics

a fashion designer sold a pair of jeans to a retail store for 40 percent more than it cost to manufacture the pair of jeans . a customer bought the pair of jeans for 10 percent more than the retailer paid for them . the price the customer paid was what percent greater than the cost of manufacturing the jeans ?

2gain

the time it took car p to travel 900 miles was 2 hours less than the time it took car r to travel the same distance . if car p ’ s average speed was 10 miles per hour greater than that of car r , what was car r ’ s average speed , in miles per hour ?

1physics

how many seconds will a 400 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 63 km / hr ?

1physics

a certain company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales in 1997 were up 7 percent from 1996 . if total revenues from car sales and truck sales in 1997 were up 1 percent from 1996 , what is the ratio of revenue from car sales in 1996 to revenue from truck sales in 1996 ?

5other

a sum was put at simple interest at a certain rate for 10 years . had it been put at 5 % higher rate , it would have fetched rs . 150 more . what was the sum ?

2gain

12 men can complete a piece of work in 4 days , while 15 women can complete the same work in 4 days . 6 men start working on the job and after working for 2 days , all of them stopped working . how many women should be put on the job to complete the remaining work , if it so to be completed in 3 days ?

1physics

in a stream running at 2 kmph , a motor boat goes 10 km upstream and back again to the starting point in 55 minutes . find the speed of motor boat in still water ?

1physics

a train 100 m long can cross an electric pole in 20 sec and then find the speed of the train ?

1physics

if the sales tax be reduced from 4 ( 1 / 5 ) % to 3 ( 1 / 4 ) % , then what difference does it make to a person who purchases a bag with marked price of rs . 5400 ?

0general

there are 2 sections a and b in a class , consisting of 30 and 20 students respectively . if the average weight of section a is 40 kg and that of section b is 35 kg , find the average of the whole class ?

0general

a person can swim in still water at 6 km / h . if the speed of water 2 km / h , how many hours will the man take to swim back against the current for 14 km ?

1physics

two numbers are respectively 12 % and 60 % more than a third number . the percentage that is first of the second is ?

2gain

buses a and b start from a common bus stop x . bus a begins to travel in a straight line away from bus b at a constant rate of 40 miles per hour . one hour later , bus b begins to travel in a straight line in the exact opposite direction at a constant rate of 80 miles per hour . if both buses travel indefinitely , what is the positive difference , in minutes , between the amount of time it takes bus b to cover the exact distance that bus a has covered and the amount of time it takes bus b to cover twice the distance that bus a has covered ?

1physics

a train 125 m long passes a man , running at 8 km / hr in the same direction in which the train is going , in 10 seconds . the speed of the train is :

1physics

when tossed , a certain coin has an equal probability of landing on either side . if the coin is tossed 5 times , what is the probability that it will land on the same side each time ?

4probability

the closest approximation of d ( 69.28 × 0.004 ) / 0.03 is

0general

in a 1000 m race , a beats b by 200 meters or 25 seconds . find the speed of b ?

1physics

robert ' s salary was decreased by 50 % and subsequently increased by 50 % . how much percentage does he lose ?

0general

the average age of 10 members of a committee is the same as it was 4 years ago , because an old member has been replaced by a young member . find how much younger is the new member ?

0general

tea worth rs . 126 per kg are mixed with a third variety in the ratio 1 : 1 : 2 . if the mixture is worth rs . 157 per kg , the price of the third variety per kg will be

5other

if 75 percent of 600 is 50 percent of x , then x = ?

0general

there were 35 students in a hostel . due to the admission of 7 new students , the expenses of mess were increased by 42 per day while the average expenditure per head diminished by 1 . what was the original expenditure of the mess ?

0general

a person can row at 10 kmph and still water . he takes 5 hours to row from a to b and back . what is the distance between a and b if the speed of the stream is 2 kmph ?

1physics

a tour group of 25 people paid a total of $ 945 for entrance to a museum . if this price included a 5 % sales tax , and all the tickets cost the same amount , what was the face value of each ticket price without the sales tax ? choices

0general

carrie likes to buy t - shirts at the local clothing store . they cost $ 8.55 each . one day , she bought 9 t - shirts . how much money did she spend ?

0general

what is the average of the first 10 multiples of 11 ?

0general

the difference between the squares of two consecutive numbers is 37 . find the numbers .

1physics

a miniature roulette wheel is divided into 10 equal sectors , each bearing a distinct integer from 1 to 10 , inclusive . each time the wheel is spun , a ball randomly determines the winning sector by settling in that sector . if the wheel is spun four times , approximately what is the probability that the product of the four winning sectors ’ integers will be even ?

0general

the diagonals of a rhombus are 25 cm and 30 cm . find its area ?

3geometry

what is 120 % of 13 / 24 of 840 ?

2gain

the avg weight of a , b & c is 84 kg . if d joins the group , the avg weight of the group becomes 80 kg . if another man e who weights is 5 kg more than d replaces a , then the avgof b , c , d & e becomes 79 kg . what is the weight of a ?

0general

at golds gym class can be divided into 8 teams with an equal number of players on each team or into 12 teams with an equal number of players on each team . what is the lowest possible number of students in the class ?

0general

how many internal diagonals does a hexagon ( 6 sided polygon ) have ?

3geometry

a man sells an article at a profit of 25 % . if he had bought it at 20 % less and sold it for rs . 14.70 less , he would have gained 30 % . find the cost of the article .

2gain

find the principle on a certain sum of money at 5 % per annum for 2 2 / 5 years if the amount being rs . 1568 ?

0general

the average ( arithmetic mean ) of the even integers from 0 to 200 inclusive is how much greater than the average ( arithmetic mean ) of the even integers from 0 to 100 inclusive ?

0general

by selling 22 pencils for a rupee a man loses 20 % . how many for a rupee should he sell in order to gain 20 % ?

2gain

solve the equation for x : 19 ( x + y ) + 17 = 19 ( - x + y ) - 21

0general

how many seconds will a 700 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 63 km / hr ?

1physics

two concentric circles form a ring . the inner and outer circumferences of ring are ( 352 / 7 ) m and ( 518 / 7 ) m respectively . find the width of the ring .

1physics

a person decided to build a house in 100 days . he employed 100 men in the beginning and 100 more after 25 days and completed the construction in stipulated time . if he had not employed the additional men , how many days behind schedule would it have been finished ?

0general

the initial price of an article is rs . 4000 which increases 40 % increse in its price in the first year , a 20 % decrease in the second year and a 20 % increase in the next year . what is the final price of the article ?

0general

if 3 men or 4 women can reap a field in 10 days how long will 5 men and 6 women take to reap it ?

1physics

qames can eat 25 marshmallows is 20 minutes . dylan can eat 25 in one hour . in how much time will the two eat 150 marshmallows ?

1physics

ajay and balu together can do a piece of work in 12 days . balu and charan together can do the same work in 16 days . after ajay has been working at it for 5 days and balu for 7 days , charan finishes it in 13 days . in how many days will charan alone be able to do the work ?

1physics

city a to city b , john drove for 1 hour at 40 mph and for 3 hours at 60 mph . what was the average speed for the whole trip ?

1physics

if each digit in the set a = { 1 , 2 , 3 , 4 , 5 , 6 } is used exactly once , in how many ways can the digits be arranged ?

0general

find the average of all prime numbers between 12 and 24 .

0general

a ’ s speed is 20 / 19 times that of b . if a and b run a race , what part of the length of the race should a give b as a head start , so that the race ends in a dead heat ?

0general

sheila works 8 hours per day on monday , wednesday and friday , and 6 hours per day on tuesday and thursday . she does not work on saturday and sunday . she earns $ 504 per week . how much does she earn in dollars per hour ?

1physics

if 1 = 6 , 2 = 12 , 3 = 18 , 4 = 24 , 5 = 30 , then 6 = ?

0general

3 partners a , b , c start a business . twice a ’ s capital is equal to thrice b ’ s capital and b ’ s capital is 4 times c ’ s capital . out of a total profit of rs . 16500 at the end of the year , b ’ share is :

0general

a certain college ' s enrollment at the beginning of 1992 was 20 percent greater than it was at the beginning of 1991 , and its enrollment at the beginning of 1993 was 25 percent greater than it was at the beginning of 1992 . the college ' s enrollment at the beginning of 1993 was what percent greater than its enrollment at the beginning of 1991 ?

2gain

a is three times as fast as b . if b alone can do a piece of work in 12 days , in what time can a and b together complete the work ?

1physics

by selling 10 pencils for a rupee a man loses 15 % . how many for a rupee should he sell in order to gain 15 % ?

2gain

a trader bought a car at 20 % discount on its original price . he sold it at a 100 % increase on the price he bought it . what percent of profit did he make on the original price ?

2gain

a can complete a certain job in 7 days . b is 40 % more efficient than a . in how many days can b complete the same job ?

2gain

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 t on the height of vehicles that are allowed to use the tunnel ?

1physics

if a motorist had driven 1 hour longer on a certain day and at an average rate of 5 miles per hour faster , he would have covered 70 more miles than he actually did . how many more miles would he have covered than he actually did if he had driven 2 hours longer and at an average rate of 10 miles per hour faster on that day ?

1physics

a glass was filled with 40 ounces of water , and 0.01 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

a family pays $ 800 per year for an insurance plan that pays 60 percent of the first $ 1,000 in expenses and 100 percent of all medical expenses thereafter . in any given year , the total amount paid by the family will equal the amount paid by the plan when the family ' s medical expenses total how much ?

0general

mike and his friend are going on a road trip and hoping to miss traffic . if they are driving at a rate of 6 miles per minute , what is their speed in kilometers per hour ? [ 1 km = 0.6 miles ]

1physics

the amount of an investment will double in approximately 70 / p years , where p is the percent interest , compounded annually . if thelma invests $ 30,000 in a long - term cd that pays 5 percent interest , compounded annually , what will be the approximate total value of the investment when thelma is ready to retire 42 years later ?

0general

the average weight of 10 students decreases by 6 kg when one of them weighing 120 kg is replaced by a new student . the weight of the student is

0general

the length of a rectangular landscape is 4 times its breadth . there is a playground in it whose area is 1200 square mtr & which is 1 / 3 rd of the total landscape . what is the length of the landscape ?

3geometry

each week , harry is paid x dollars per hour for the first 30 hours and 2 x dollars for each additional hour worked that week . each week , james is paid x dollars per per hour for the first 40 hours and 2 x dollars for each additional hour worked that week . last week james worked a total of 41 hours if harry and james were paid the same amount last week , how many hours did harry work last week ?

0general

the sum of 3 numbers is 98 . the ratio of the first to the second is 2 / 3 , and the ratio of the second to the third is 5 / 8 . the second number is :

0general

a trader sold an article on a certain price with 20 % profit . if he sold double of previous selling price then find its profit %

2gain

if a and b get profits of rs . 6000 and rs . 4000 respectively at the end of year the ratio of their investments are ?

2gain