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

Problem stringlengths 5 967	category class label 6 classes
if f ( x ) = 12 - x ^ 2 / 2 and f ( 2 k ) = 3 k , what is one possible value for k ?	0general
two numbers n and 14 have lcm = 56 and gcf = 12 . find n .	1physics
express a speed of 414 kmph in meters per second ?	1physics
two pipes p and q can fill a cistern in 10 and 15 minutes respectively . both are opened together , but at the end of 3 minutes the first is turned off . how much longer will the cistern take to fill ?	1physics
the malibu country club needs to drain its pool for refinishing . the hose they use to drain it can remove 60 cubic feet of water per minute . if the pool is 80 feet wide by 150 feet long by 10 feet deep and is currently at 100 % capacity , how long will it take to drain the pool ?	2gain
tom and john traveled in the same direction along the equal route at their constant speed rates of 15 km per hour and 10 km per hour , respectively . after 15 minutes tom passed john , tom reaches a certain gas station , how many r minutes it takes john to reach the station ?	1physics
a professional athlete was offered a 3 - year contract to play with team k that provided for an annual salary of $ 100000 in the first year , an increase in annual salary of 20 % over the previous year for the next two years , and a bonus of $ 50000 on signing . team l offered a 3 - year contract providing for an annual salary of $ 150000 in the first year , an increase in annual salary of 20 % over the previous year for the next two years , and no signing bonus . if he accepts the offer of team l and fulfills the 3 - year contract terms , the athlete will receive how much more money by choosing team l over team k ?	0general
there are 19 teams in the hockey league , and each team faces all the other teams 10 times each . how many games are played in the season ?	0general
in a family 11 people eat only vegetarian , 6 people eat only non veg . , 9 people eat both veg and non veg . . how many people eat veg in the family ?	5other
a cyclist climbs a hill with a length of 400 m with a speed of 7.2 km / h . when descending , the speed is two times greater . how much time is necessary for the cyclist to climb and descend the hill ?	0general
the radius of a semi circle is 6.8 cm then its perimeter is ?	1physics
6.513 / 10.02 =	0general
the ratio between the number of sheep and the number of horses at the stewart farm is 6 to 7 , if each horse is fed 230 ounces of horse food per day and the farm needs a total 12,880 ounces of horse food per day , what is the number of sheep in the farm ?	5other
what is the 23 th digit to the right of the decimal point in the decimal form of 1 / 11 ?	0general
the present age of the father is 4 years more than 4 times the age of his son . 4 years hence , father ' s age will be 20 years more than twice the age of the son . find the present age of the father ?	0general
find the slope of the line perpendicular to the line y = ( 1 / 3 ) x - 7	0general
a scuba diver descends at a rate of 60 feet per minute . a diver dive from a ship to search for a lost ship at the depth of 3600 feet below the sea level . . how long will he take to reach the ship ?	2gain
in a certain company , the ratio of the number of managers to the number of non - managers in any department must always be greater than 7 : 32 . in the company , what is the maximum number of non - managers in a department that has 8 managers ?	0general
two letters from the word khantkar are selected at random . what is the probability that at least one of the selected letters is a consonant ?	4probability
a paint store mixes 3 / 4 pint of red paint and 2 / 3 pint of white paint to make a new paint color called perfect pink . how many pints of red paint would be needed to make 30 pints of perfect pink paint ?	0general
a certain elevator has a safe weight limit of 2,500 pounds . what is the greatest possible number of people who can safely ride on the elevator at one time with the average ( arithmetic mean ) weight of half the riders being 180 pounds and the average weight of the others being 230 pounds ?	0general
there are 3 vessels of equal capacity . vessel a contains milk and water in the ratio 4 : 3 ; vessel b contains milk and water in the ratio 2 : 1 and vessel c contains milk and water in the ratio 3 : 2 . if the mixture in all the 3 vessels is mixed up . what will be the ratio of water to milk ?	0general
each year for 4 years , a farmer increased the number of trees in a certain orchard by 1 / 4 of the number of trees in the orchard of the preceding year . if all of the trees thrived and there were 5625 trees in the orchard at the end of 4 year period , how many trees were in the orchard at the beginning of the 4 year period .	0general
the time it took car p to travel 800 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
a flamboyant comic book villain has abducted a bystander ! captain valiant is alerted to the crime and reaches the start of the villain ' s trail 30 minutes later . the villain is in a getaway car going 40 kmph , and captain valiant can fly at 50 kmph . how long will the bystander have to wait for rescue ?	1physics
a man can do a piece of work in 5 days , but with the help of his son , he can do it in 4 days . in what time can the son do it alone ?	1physics
a train running at the speed of 60 km / hr crosses a pole in 27 seconds . find the length of the train ?	1physics
find the greatest number that will divide 400 , 435 and 541 leaving 9 , 10 and 14 as remainders respectively	0general
what is the largest 4 digit number exactly divisible by 88	0general
if the cost price of 15 articles is same as the selling price of 25 articles . find the gain or loss percentage ?	2gain
a and b complete a work in 16 days . a alone can do it in 40 days . if both together can do the work in how many days ?	1physics
find the area of the quadrilateral of one of its diagonals is 22 cm and its off sets 9 cm and 6 cm ?	3geometry
a work which could be finished in 8 days was finished 3 days earlier after 10 more men joined . the number of men employed was ?	1physics
a certain protective additive increases from 25 days to 30 days the time between required maintenance checks on an industrial vehicle . by what percent is the time between maintenance checks increased by using the additive ?	0general
the average of 13 numbers is 58 . average of the first 7 of them is 57 and that of the last 7 is 61 . find the 8 th number ?	0general
the volumes of two cones are in the ratio 1 : 40 and the radii of the cones are in the ratio of 1 : 2 . what is the length of the wire ?	3geometry
in the new budget the price of milk rose by 10 % . by how much percent must a person reduce his consumption so that his expenditure on it does not increase ?	0general
a copy machine , working at a constant rate , makes 40 copies per minute . a second copy machine , working at a constant rate , makes 55 copies per minute . working together at their respective rates , how many copies do the two machines make in half an hour ?	1physics
working simultaneously and independently at an identical constant rate , 4 machines of a certain type can produce a total of x units of product p in 6 days . how many of these machines , working simultaneously and independently at this constant rate , can produce a total of 2 x units of product p in 6 days ?	0general
evaluate : 17 + sqrt ( - 7 + 10 ã — 6 ã · 5 ) = ?	0general
product of two natural numbers is 19 . then , the sum of reciprocals of their squares is	0general
if a ( a + 2 ) = 120 and b ( b + 2 ) = 120 , where a ≠ b , then a + b =	0general
a rectangular block has the dimensions 5 x 6 x 7 cm it is dropped into a cylindrical vessel of radius 6 cm and height 10 cm . if the level of the fluid in the cylinder rises by 4 cm , what portion of the block is immersed in the fluid ?	3geometry
a train 630 m long , running with a speed of 63 km / hr will pass a tree in ?	1physics
of the female students at barkely university , 1 / 6 are on the honor roll . of the male students , 2 / 5 are on the honor roll . if 3 / 5 of the students are female , what fraction of all the students are on the honor roll ?	0general
a basket of 1430 apples is divided equally among a group of apple lovers . if 45 people join the group , each apple lover would receive 9 apples less . how many u apples did each person get before 45 people joined the feast ?	0general
what is the smallest number which when increased by 3 is divisible by 18 , 70 , 100 and 21 ?	0general
if a ( k ) = ( 2 k + 1 ) ^ k , and k = 0 , what is the value of a ( a ( a ( k ) ) ) ?	0general
the cricket team of 11 members is 27 yrs old & the wicket keeper is 3 yrs older . if the ages ofthese 2 are excluded , the average age of theremaining players is 1 year less than the average age of the whole team . what is the average age of the team ?	0general
how many multiples of 5 are there between 1 and 89 ?	0general
the scoring system in a certain football competition goes as follows : 3 points for victory , 1 point for a draw , and 0 points for defeat . each team plays 20 matches . if a team scored 12 points after 5 games , what is the least number of the remaining matches it has to win to reach the 40 - point mark by the end of the tournament ?	0general
if x is an integer and 3.134 × 10 ^ x is less than 31,000 what is the greatest possible value for x ?	0general
if x and y are integers such that \| y + 3 \| ≤ 3 and 2 y – 3 x + 6 = 0 , what is the least possible value r of the product xy ?	0general
in a river flowing at 2 km / hr , a boat travels 40 km upstream and then returns downstream to the starting point . if its speed in still water be 6 km / hr , find the total journey time .	0general
a train covers a distance in 50 min , if it runs at a speed of 48 kmph on an average . the speed at which the train must run to reduce the time of journey to 40 min will be	1physics
ifaequals the sum of the even integers from 2 to 100 , inclusive , andbequals the sum of the odd integers from 1 to 99 , inclusive , what is the value of a - b ?	0general
the sum of 4 consecutive numbers is 102 . the greatest among these 3 number is :	1physics
the sum of all possible two digit numbers formed from 3 different one digit natural numbers when divided by the sum of the original 3 numbers is equal to ?	0general
if a man lost 10 % by selling oranges at the rate of 18 a rupee at how many a rupee must he sell them to gain 32 % ?	2gain
mike drives his new corvette from san francisco to las vegas , a journey of 640 miles . he drives the first half of the trip at an average rate of 80 miles per hour , but has to slow down for the second half of his journey . if the second half of the trip takes him 200 percent longer than the first half , what is his average rate z in miles per hour for the entire trip ?	1physics
john is going with 10 friends on a trip to sidney for spring break . airfare and hotel costs a total of $ 12100.00 for the group of 11 friends . how much does each person have to pay for their hotel and airfare ?	0general
a soccer store typically sells replica jerseys at a discount of 30 percent to 50 percent off list price . during the annual summer sale , everything in the store is an additional 20 percent off the original list price . if a replica jersey ' s list price is $ 80 , approximately what r percent of the list price is the lowest possible sale price ?	0general
last month , john rejected 0.5 % of the products that he inspected and jane rejected 0.7 percent of the products that she inspected . if total of 0.75 percent of the products produced last month were rejected , what fraction of the products did jane inspect ?	2gain
the area of a square field 3136 sq m , if the length of cost of drawing barbed wire 3 m around the field at the rate of rs . 1.50 per meter . two gates of 1 m width each are to be left for entrance . what is the total cost ?	1physics
a firm is comprised of partners and associates in a ratio of 2 : 63 . if 50 more associates were hired , the ratio of partners to associates would be 1 : 34 . how many partners are currently in the firm ?	5other
a certain drink of type a is prepared by mixing 4 parts milk with 3 parts fruit juice . another drink of type b is prepared by mixing 4 parts of fruit juice and 3 parts of milk . how many liters of fruit juice must be added to 42 liters of drink a to convert it to drink b ?	0general
the ratio between the number of sheep and the number of horses at the stewar farm is 5 to 7 . if each of horse is fed 230 ounces of horse food per day and the farm needs a total 12880 ounces of horse food per day . what is number sheep in the form ? ?	5other
working alone , tom finishes cleaning half the house in a third of the time it takes nick to clean the entire house alone . tom alone cleans the entire house in 6 hours . how many hours will it take nick and tom to clean the entire house if they work together ?	1physics
of the people who responded to a market survey , 360 preferred brand x and the rest preferred brand y . if the respondents indicated a preference for brand x over brand y by ratio of 9 to 1 , how many people responded to the survey ?	5other
90 litres of diesel is required to travel 600 km using a 800 cc engine . if the volume of diesel required to cover a distance varies directly as the capacity of the engine , then how many litres of diesel is required to travel 800 km using 1200 cc engine ?	1physics
machine – a produces 40 % of the total output and machine - b produces 60 % of the total output . an average of 9 units out of a 1000 goods manufactured by machine - a and one unit of 50 units produced by machine - b prove to be defective . what is the probability that a unit chosen at random from the total daily output of the factory is defective ?	0general
a 470 m long train is running at a speed of 55 km / hr . it crossed a platform of length 520 m in ?	1physics
the ratio between the number of sheep and the number of horses at the stewar farm is 7 to 7 . if each of horse is fed 230 ounces of horse food per day and the farm needs a total 12880 ounces of horse food per day . what is number sheep in the form ? ?	5other
gold is 10 times as heavy as water and copper is 5 times as heavy as water . in what ratio should these be mixed to get an alloy 9 times as heavy as water ?	0general
veena ranks 73 rd from the top in a class of 182 . what is her rank from the bottom if 22 students have failed the examination ?	5other
what annual installment will discharge a debt of rs . 1176 due in 3 years at 12 % simple interest ?	2gain
michelle deposited a certain sum of money in a savings account on july 1 st , 2007 . she earns an 12 % interest compounded semiannually . the sum of money in the account on december 31 st , 2009 is approximately what percent of the initial deposit ?	2gain
if the numerator of a fraction is increased by 50 % and denominator by 20 % , the fraction become 9 / 15 . what was the original fraction ?	0general
every student of a certain school must take one and only one elective course . in last year , 1 / 2 of the students took p . e . as an elective , 1 / 3 of the students took theatre as an elective , and all of the other students took music . in this year , 1 / 3 of the students who took p . e . and 1 / 4 of the students who took theatre left school , other students did not leave , and no fresh student come in . what fraction of all students took p . e . or music ?	0general
what is the compound interest paid on a sum of rs . 1500 for the period of 2 years at 10 % per annum .	2gain
if sharon ' s weekly salary increased by 20 percent , she would earn $ 600 per week . if instead , her weekly salary were to increase by 15 percent , how much would she earn per week ?	0general
jamshid can paint a fence in 50 percent less time than taimour can when each works alone . when they work together , they can paint the fence in 3 hours . how long would it take taimour to paint the fence alone ?	1physics
a man is walking at the rate of 9 km / hr crosses a bridge in 15 minutes . the length of the bridge is	2gain
how many multiples of 4 are there between 1 and 99 ?	0general
patrick purchased 80 pencils and sold them at a loss equal to the selling price of 30 pencils . the cost of 80 pencils is how many times the selling price of 80 pencils ?	0general
a shopkeeper sold an article offering a discount of 5 % and earned a profit of 23.5 % . what would have been the percentage of profit earned if no discount was offered ?	2gain
the hiker walking at a constant rate of 7 miles per hour is passed by a cyclist traveling in the same direction along the same path at 28 miles per hour . the cyclist stops to wait for the hiker 5 minutes after passing her , while the hiker continues to walk at her constant rate , how many minutes must the cyclist wait until the hiker catches up ?	1physics
find the area of a parallelogram with base 18 cm and height 10 cm ?	3geometry
the parameter of a square is equal to the perimeter of a rectangle of length 24 cm and breadth 16 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places )	3geometry
a man gains 20 % by selling an article for a certain price . if the sells it at double the price , the percentage of profit will be ?	2gain
mars travels around the sun at a speed of approximately 15 miles per second . the approximate speed is how many miles per hour ?	1physics
acme ’ s manufacturing costs for sets of horseshoes include a $ 12450 initial outlay , and $ 20.75 per set . they can sell the sets $ 50 . if profit is revenue from sales minus manufacturing costs , and the company producessells 950 sets of horseshoes , what was their profit ?	2gain
the average of 9 numbers is 104 . average of the first 5 of them is 99 and that of the last 5 is 100 . find the 5 th number ?	0general
the cash realised on selling a 14 % stock is rs . 101.25 , brokerage being 1 / 4 % is	0general
in a 500 m race , the ratio of the speeds of two contestants a and b is 3 : 4 . a has a start of 140 m . then , a wins by :	1physics
tom read a book containing 100 pages by reading the same number of pages each day . if he would have finished the book 10 days earlier by reading 30 pages a day more , how many days did tom spend reading the book ?	0general
the sum of the squares of three numbers is 241 , while the sum of their products taken two at a time is 100 . their sum is :	0general
the speed of a boat in still water is 18 km / hr and the rate of current is 4 km / hr . the distance travelled downstream in 14 minutes is	1physics
the present worth of rs . 169 due in 2 years at 4 % per annum compound interest is	2gain
how many positive integers less than 350 are there such that they are multiples of 17 or multiples of 18 ?	0general

if f ( x ) = 12 - x ^ 2 / 2 and f ( 2 k ) = 3 k , what is one possible value for k ?

0general

two numbers n and 14 have lcm = 56 and gcf = 12 . find n .

1physics

express a speed of 414 kmph in meters per second ?

1physics

two pipes p and q can fill a cistern in 10 and 15 minutes respectively . both are opened together , but at the end of 3 minutes the first is turned off . how much longer will the cistern take to fill ?

1physics

the malibu country club needs to drain its pool for refinishing . the hose they use to drain it can remove 60 cubic feet of water per minute . if the pool is 80 feet wide by 150 feet long by 10 feet deep and is currently at 100 % capacity , how long will it take to drain the pool ?

2gain

tom and john traveled in the same direction along the equal route at their constant speed rates of 15 km per hour and 10 km per hour , respectively . after 15 minutes tom passed john , tom reaches a certain gas station , how many r minutes it takes john to reach the station ?

1physics

a professional athlete was offered a 3 - year contract to play with team k that provided for an annual salary of $ 100000 in the first year , an increase in annual salary of 20 % over the previous year for the next two years , and a bonus of $ 50000 on signing . team l offered a 3 - year contract providing for an annual salary of $ 150000 in the first year , an increase in annual salary of 20 % over the previous year for the next two years , and no signing bonus . if he accepts the offer of team l and fulfills the 3 - year contract terms , the athlete will receive how much more money by choosing team l over team k ?

0general

there are 19 teams in the hockey league , and each team faces all the other teams 10 times each . how many games are played in the season ?

0general

in a family 11 people eat only vegetarian , 6 people eat only non veg . , 9 people eat both veg and non veg . . how many people eat veg in the family ?

5other

a cyclist climbs a hill with a length of 400 m with a speed of 7.2 km / h . when descending , the speed is two times greater . how much time is necessary for the cyclist to climb and descend the hill ?

0general

the radius of a semi circle is 6.8 cm then its perimeter is ?

1physics

6.513 / 10.02 =

0general

the ratio between the number of sheep and the number of horses at the stewart farm is 6 to 7 , if each horse is fed 230 ounces of horse food per day and the farm needs a total 12,880 ounces of horse food per day , what is the number of sheep in the farm ?

5other

what is the 23 th digit to the right of the decimal point in the decimal form of 1 / 11 ?

0general

the present age of the father is 4 years more than 4 times the age of his son . 4 years hence , father ' s age will be 20 years more than twice the age of the son . find the present age of the father ?

0general

find the slope of the line perpendicular to the line y = ( 1 / 3 ) x - 7

0general

a scuba diver descends at a rate of 60 feet per minute . a diver dive from a ship to search for a lost ship at the depth of 3600 feet below the sea level . . how long will he take to reach the ship ?

2gain

in a certain company , the ratio of the number of managers to the number of non - managers in any department must always be greater than 7 : 32 . in the company , what is the maximum number of non - managers in a department that has 8 managers ?

0general

two letters from the word khantkar are selected at random . what is the probability that at least one of the selected letters is a consonant ?

4probability

a paint store mixes 3 / 4 pint of red paint and 2 / 3 pint of white paint to make a new paint color called perfect pink . how many pints of red paint would be needed to make 30 pints of perfect pink paint ?

0general

a certain elevator has a safe weight limit of 2,500 pounds . what is the greatest possible number of people who can safely ride on the elevator at one time with the average ( arithmetic mean ) weight of half the riders being 180 pounds and the average weight of the others being 230 pounds ?

0general

there are 3 vessels of equal capacity . vessel a contains milk and water in the ratio 4 : 3 ; vessel b contains milk and water in the ratio 2 : 1 and vessel c contains milk and water in the ratio 3 : 2 . if the mixture in all the 3 vessels is mixed up . what will be the ratio of water to milk ?

0general

each year for 4 years , a farmer increased the number of trees in a certain orchard by 1 / 4 of the number of trees in the orchard of the preceding year . if all of the trees thrived and there were 5625 trees in the orchard at the end of 4 year period , how many trees were in the orchard at the beginning of the 4 year period .

0general

the time it took car p to travel 800 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

a flamboyant comic book villain has abducted a bystander ! captain valiant is alerted to the crime and reaches the start of the villain ' s trail 30 minutes later . the villain is in a getaway car going 40 kmph , and captain valiant can fly at 50 kmph . how long will the bystander have to wait for rescue ?

1physics

a man can do a piece of work in 5 days , but with the help of his son , he can do it in 4 days . in what time can the son do it alone ?

1physics

a train running at the speed of 60 km / hr crosses a pole in 27 seconds . find the length of the train ?

1physics

find the greatest number that will divide 400 , 435 and 541 leaving 9 , 10 and 14 as remainders respectively

0general

what is the largest 4 digit number exactly divisible by 88

0general

if the cost price of 15 articles is same as the selling price of 25 articles . find the gain or loss percentage ?

2gain

a and b complete a work in 16 days . a alone can do it in 40 days . if both together can do the work in how many days ?

1physics

find the area of the quadrilateral of one of its diagonals is 22 cm and its off sets 9 cm and 6 cm ?

3geometry

a work which could be finished in 8 days was finished 3 days earlier after 10 more men joined . the number of men employed was ?

1physics

a certain protective additive increases from 25 days to 30 days the time between required maintenance checks on an industrial vehicle . by what percent is the time between maintenance checks increased by using the additive ?

0general

the average of 13 numbers is 58 . average of the first 7 of them is 57 and that of the last 7 is 61 . find the 8 th number ?

0general

the volumes of two cones are in the ratio 1 : 40 and the radii of the cones are in the ratio of 1 : 2 . what is the length of the wire ?

3geometry

in the new budget the price of milk rose by 10 % . by how much percent must a person reduce his consumption so that his expenditure on it does not increase ?

0general

a copy machine , working at a constant rate , makes 40 copies per minute . a second copy machine , working at a constant rate , makes 55 copies per minute . working together at their respective rates , how many copies do the two machines make in half an hour ?

1physics

working simultaneously and independently at an identical constant rate , 4 machines of a certain type can produce a total of x units of product p in 6 days . how many of these machines , working simultaneously and independently at this constant rate , can produce a total of 2 x units of product p in 6 days ?

0general

evaluate : 17 + sqrt ( - 7 + 10 ã — 6 ã · 5 ) = ?

0general

product of two natural numbers is 19 . then , the sum of reciprocals of their squares is

0general

if a ( a + 2 ) = 120 and b ( b + 2 ) = 120 , where a ≠ b , then a + b =

0general

a rectangular block has the dimensions 5 x 6 x 7 cm it is dropped into a cylindrical vessel of radius 6 cm and height 10 cm . if the level of the fluid in the cylinder rises by 4 cm , what portion of the block is immersed in the fluid ?

3geometry

a train 630 m long , running with a speed of 63 km / hr will pass a tree in ?

1physics

of the female students at barkely university , 1 / 6 are on the honor roll . of the male students , 2 / 5 are on the honor roll . if 3 / 5 of the students are female , what fraction of all the students are on the honor roll ?

0general

a basket of 1430 apples is divided equally among a group of apple lovers . if 45 people join the group , each apple lover would receive 9 apples less . how many u apples did each person get before 45 people joined the feast ?

0general

what is the smallest number which when increased by 3 is divisible by 18 , 70 , 100 and 21 ?

0general

if a ( k ) = ( 2 k + 1 ) ^ k , and k = 0 , what is the value of a ( a ( a ( k ) ) ) ?

0general

the cricket team of 11 members is 27 yrs old & the wicket keeper is 3 yrs older . if the ages ofthese 2 are excluded , the average age of theremaining players is 1 year less than the average age of the whole team . what is the average age of the team ?

0general

how many multiples of 5 are there between 1 and 89 ?

0general

the scoring system in a certain football competition goes as follows : 3 points for victory , 1 point for a draw , and 0 points for defeat . each team plays 20 matches . if a team scored 12 points after 5 games , what is the least number of the remaining matches it has to win to reach the 40 - point mark by the end of the tournament ?

0general

if x is an integer and 3.134 × 10 ^ x is less than 31,000 what is the greatest possible value for x ?

0general

if x and y are integers such that | y + 3 | ≤ 3 and 2 y – 3 x + 6 = 0 , what is the least possible value r of the product xy ?

0general

in a river flowing at 2 km / hr , a boat travels 40 km upstream and then returns downstream to the starting point . if its speed in still water be 6 km / hr , find the total journey time .

0general

a train covers a distance in 50 min , if it runs at a speed of 48 kmph on an average . the speed at which the train must run to reduce the time of journey to 40 min will be

1physics

ifaequals the sum of the even integers from 2 to 100 , inclusive , andbequals the sum of the odd integers from 1 to 99 , inclusive , what is the value of a - b ?

0general

the sum of 4 consecutive numbers is 102 . the greatest among these 3 number is :

1physics

the sum of all possible two digit numbers formed from 3 different one digit natural numbers when divided by the sum of the original 3 numbers is equal to ?

0general

if a man lost 10 % by selling oranges at the rate of 18 a rupee at how many a rupee must he sell them to gain 32 % ?

2gain

mike drives his new corvette from san francisco to las vegas , a journey of 640 miles . he drives the first half of the trip at an average rate of 80 miles per hour , but has to slow down for the second half of his journey . if the second half of the trip takes him 200 percent longer than the first half , what is his average rate z in miles per hour for the entire trip ?

1physics

john is going with 10 friends on a trip to sidney for spring break . airfare and hotel costs a total of $ 12100.00 for the group of 11 friends . how much does each person have to pay for their hotel and airfare ?

0general

a soccer store typically sells replica jerseys at a discount of 30 percent to 50 percent off list price . during the annual summer sale , everything in the store is an additional 20 percent off the original list price . if a replica jersey ' s list price is $ 80 , approximately what r percent of the list price is the lowest possible sale price ?

0general

last month , john rejected 0.5 % of the products that he inspected and jane rejected 0.7 percent of the products that she inspected . if total of 0.75 percent of the products produced last month were rejected , what fraction of the products did jane inspect ?

2gain

the area of a square field 3136 sq m , if the length of cost of drawing barbed wire 3 m around the field at the rate of rs . 1.50 per meter . two gates of 1 m width each are to be left for entrance . what is the total cost ?

1physics

a firm is comprised of partners and associates in a ratio of 2 : 63 . if 50 more associates were hired , the ratio of partners to associates would be 1 : 34 . how many partners are currently in the firm ?

5other

a certain drink of type a is prepared by mixing 4 parts milk with 3 parts fruit juice . another drink of type b is prepared by mixing 4 parts of fruit juice and 3 parts of milk . how many liters of fruit juice must be added to 42 liters of drink a to convert it to drink b ?

0general

the ratio between the number of sheep and the number of horses at the stewar farm is 5 to 7 . if each of horse is fed 230 ounces of horse food per day and the farm needs a total 12880 ounces of horse food per day . what is number sheep in the form ? ?

5other

working alone , tom finishes cleaning half the house in a third of the time it takes nick to clean the entire house alone . tom alone cleans the entire house in 6 hours . how many hours will it take nick and tom to clean the entire house if they work together ?

1physics

of the people who responded to a market survey , 360 preferred brand x and the rest preferred brand y . if the respondents indicated a preference for brand x over brand y by ratio of 9 to 1 , how many people responded to the survey ?

5other

90 litres of diesel is required to travel 600 km using a 800 cc engine . if the volume of diesel required to cover a distance varies directly as the capacity of the engine , then how many litres of diesel is required to travel 800 km using 1200 cc engine ?

1physics

machine – a produces 40 % of the total output and machine - b produces 60 % of the total output . an average of 9 units out of a 1000 goods manufactured by machine - a and one unit of 50 units produced by machine - b prove to be defective . what is the probability that a unit chosen at random from the total daily output of the factory is defective ?

0general

a 470 m long train is running at a speed of 55 km / hr . it crossed a platform of length 520 m in ?

1physics

the ratio between the number of sheep and the number of horses at the stewar farm is 7 to 7 . if each of horse is fed 230 ounces of horse food per day and the farm needs a total 12880 ounces of horse food per day . what is number sheep in the form ? ?

5other

gold is 10 times as heavy as water and copper is 5 times as heavy as water . in what ratio should these be mixed to get an alloy 9 times as heavy as water ?

0general

veena ranks 73 rd from the top in a class of 182 . what is her rank from the bottom if 22 students have failed the examination ?

5other

what annual installment will discharge a debt of rs . 1176 due in 3 years at 12 % simple interest ?

2gain

michelle deposited a certain sum of money in a savings account on july 1 st , 2007 . she earns an 12 % interest compounded semiannually . the sum of money in the account on december 31 st , 2009 is approximately what percent of the initial deposit ?

2gain

if the numerator of a fraction is increased by 50 % and denominator by 20 % , the fraction become 9 / 15 . what was the original fraction ?

0general

every student of a certain school must take one and only one elective course . in last year , 1 / 2 of the students took p . e . as an elective , 1 / 3 of the students took theatre as an elective , and all of the other students took music . in this year , 1 / 3 of the students who took p . e . and 1 / 4 of the students who took theatre left school , other students did not leave , and no fresh student come in . what fraction of all students took p . e . or music ?

0general

what is the compound interest paid on a sum of rs . 1500 for the period of 2 years at 10 % per annum .

2gain

if sharon ' s weekly salary increased by 20 percent , she would earn $ 600 per week . if instead , her weekly salary were to increase by 15 percent , how much would she earn per week ?

0general

jamshid can paint a fence in 50 percent less time than taimour can when each works alone . when they work together , they can paint the fence in 3 hours . how long would it take taimour to paint the fence alone ?

1physics

a man is walking at the rate of 9 km / hr crosses a bridge in 15 minutes . the length of the bridge is

2gain

how many multiples of 4 are there between 1 and 99 ?

0general

patrick purchased 80 pencils and sold them at a loss equal to the selling price of 30 pencils . the cost of 80 pencils is how many times the selling price of 80 pencils ?

0general

a shopkeeper sold an article offering a discount of 5 % and earned a profit of 23.5 % . what would have been the percentage of profit earned if no discount was offered ?

2gain

the hiker walking at a constant rate of 7 miles per hour is passed by a cyclist traveling in the same direction along the same path at 28 miles per hour . the cyclist stops to wait for the hiker 5 minutes after passing her , while the hiker continues to walk at her constant rate , how many minutes must the cyclist wait until the hiker catches up ?

1physics

find the area of a parallelogram with base 18 cm and height 10 cm ?

3geometry

the parameter of a square is equal to the perimeter of a rectangle of length 24 cm and breadth 16 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places )

3geometry

a man gains 20 % by selling an article for a certain price . if the sells it at double the price , the percentage of profit will be ?

2gain

mars travels around the sun at a speed of approximately 15 miles per second . the approximate speed is how many miles per hour ?

1physics

acme ’ s manufacturing costs for sets of horseshoes include a $ 12450 initial outlay , and $ 20.75 per set . they can sell the sets $ 50 . if profit is revenue from sales minus manufacturing costs , and the company producessells 950 sets of horseshoes , what was their profit ?

2gain

the average of 9 numbers is 104 . average of the first 5 of them is 99 and that of the last 5 is 100 . find the 5 th number ?

0general

the cash realised on selling a 14 % stock is rs . 101.25 , brokerage being 1 / 4 % is

0general

in a 500 m race , the ratio of the speeds of two contestants a and b is 3 : 4 . a has a start of 140 m . then , a wins by :

1physics

tom read a book containing 100 pages by reading the same number of pages each day . if he would have finished the book 10 days earlier by reading 30 pages a day more , how many days did tom spend reading the book ?

0general

the sum of the squares of three numbers is 241 , while the sum of their products taken two at a time is 100 . their sum is :

0general

the speed of a boat in still water is 18 km / hr and the rate of current is 4 km / hr . the distance travelled downstream in 14 minutes is

1physics

the present worth of rs . 169 due in 2 years at 4 % per annum compound interest is

2gain

how many positive integers less than 350 are there such that they are multiples of 17 or multiples of 18 ?

0general