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

Problem stringlengths 5 967	category class label 6 classes
liam is pulled over for speeding just as he is arriving at work . he explains to the police officer that he could not afford to be late today , and has arrived at work only four minutes before he is to start . the officer explains that if liam had driven 5 mph slower for his whole commute , he would have arrived at work exactly on time . if liam ' s commute is 60 miles long , how fast was he actually driving ? ( assume that liam drove at a constant speed for the duration of his commute . )	1physics
a bus covered a distance of 250 km , partly at an average speed of 40 kmph and partly at 60 kmph . if the total time taken is 5.4 hours , then the distance covered at 40 kmph is	1physics
a merchant has selected two items to be placed on sale , one of which currently sells for 35 percent less than the other . if he wishes to raise the price of the cheaper item so that the two items are equally priced , by what percentage must he raise the price of the less expensive item ?	0general
the population of a bacteria colony doubles every day . if it was started 11 days ago with 2 bacteria and each bacteria lives for 12 days , how large is the colony today ?	1physics
the unit digit in the product 7858 * 1086 * 4582 * 9783 is ?	0general
a train speeds past a pole in 20 seconds and passes through a tunnel 500 m long in 40 seconds . its length is :	1physics
yesterday ' s closing prices of 1,980 different stocks listed on a certain stock exchange were all different from today ' s closing prices . the number of stocks that closed at a higher price today than yesterday was 20 percent greater than the number that closed at a lower price . how many of the stocks closed at a higher price today than yesterday ?	2gain
20 - 8 percent of the programmers in a startup company weigh 200 pounds or more . 20 - 5 percent of the programmers that are under 200 pounds in that same company weigh 100 pounds or less . what percent of the programmers in the startup company weigh between 100 and 200 pounds ?	0general
the racing magic takes 90 seconds to circle the racing track once . the charging bull makes 40 rounds of the track in an hour . if they left the starting point together , how many minutes will it take for them to meet at the starting point for the second time ?	1physics
a lent rs . 5000 to b for 2 years and rs . 3000 to c for 4 years on simple interest at the same rate of interest and received rs . 3300 in all from both of them as interest . the rate of interest per annum is ?	2gain
in the first 10 overs of a cricket game , the run rate was only 3.2 . what should be the run rate in the remaining 40 overs to reach the target of 282 runs ?	2gain
what is the unit ’ s digit of 7 ^ 6	0general
a can finish a work in 4 days and b can do same work in half the time taken by a . then working together , what part of same work they can finish in a day ?	1physics
two pipes a and b can separately fill a tank in 16 and 10 minutes respectively . a third pipe c can drain off 60 liters of water per minute . if all the pipes are opened , the tank can be filled in 10 minutes . what is the capacity of the tank ?	1physics
a train speeds past a pole in 15 sec and a platform 110 m long in 25 sec , its length is ?	1physics
if ( t - 8 ) is a factor of t ^ 2 - kt - 47 , then k =	0general
during a special promotion , a certain filling station is offering a 10 percent discount on gas purchased after the first 10 gallons . if kim purchased 15 gallons of gas , and isabella purchased 25 gallons of gas , then isabella ‟ s total per - gallon discount is what percent of kim ‟ s total per - gallon discount ?	2gain
a man can row downstream at the rate of 16 km / hr and upstream at 6 km / hr . find man ' s rate in still water and the rate of current ?	2gain
a rectangular lawn of dimensions 100 m * 60 m has two roads each 10 m wide running in the middle of the lawn , one parallel to the length and the other parallel to the breadth . what is the cost of traveling the two roads at rs . 3 per sq m ?	3geometry
find avrg speed if a man travels at speed of 18 km / hr up and 24 km / hr dawn at an altitude of 300 m .	1physics
nitin ranks 27 th in a class of 89 students . what is rank from the last ?	5other
set a consists of the integers from 3 to 12 , inclusive , while set b consists of the integers from 6 to 20 , inclusive . how many distinct integers do belong to the both sets at the same time ?	5other
what is the units digit of the expression 14 ^ 7 − 20 ^ 4 ?	0general
the telephone company wants to add an area code composed of 2 letters to every phone number . in order to do so , the company chose a special sign language containing 424 different signs . if the company used 422 of the signs fully and two remained unused , how many additional area codes can be created if the company uses all 424 signs ?	0general
thin rectangular slab of potato was cut into two pieces for an osmosis lab . one piece is 50 mm greater than the other . if the original uncut slab is 600 mm , what is the length of the other piece of the potato after it is cut .	3geometry
a alone can complete a work in 16 days and b alone can do in 12 days . star ɵ ng with a , they work on alternate days . the total work will be completed in	1physics
a cistern which could be filled in 6 hours takes one hour more to be filled owing to a leak in its bottom . if the cistern is full in what time will the leak empty it ?	1physics
george is 8 years more than christopher and ford is 2 years younger than christopher . the sum of their ages is 60 . find the ages of ford .	0general
on sunday , bill ran 4 more miles than he ran on saturday . julia did not run on saturday , but she ran twice the number of miles on sunday that bill ran on sunday . if bill and julia ran a total of 28 miles on saturday and sunday , how many miles did bill run on sunday ?	0general
bhanu spends 30 % of his income on petrol on scooter 14 % of the remaining on house rent and the balance on food . if he spends rs . 300 on petrol then what is the expenditure on house rent ?	2gain
a man covered a certain distance at some speed . if he had moved 3 kmph faster , he would have taken 40 minutes less . if he had moved 2 kmph slower , he would have taken 40 minutes more . what is the distance in km ?	1physics
if x * y = xy – 2 ( x + y ) for all integers x and y , then 2 * ( – 3 ) =	0general
a man is 18 years older than his son . in eight years , his age will be twice the age of his son . the present age of this son is	0general
operation # is defined as : a # b = 4 a ^ 2 + 4 b ^ 2 + 8 ab for all non - negative integers . what is the value of ( a + b ) + 5 , when a # b = 100 ?	0general
a student got 72 % in math and 84 % in history . to get an overall average of 75 % , how much should the student get in the third subject ?	0general
if f ( x ) = ax ^ 2 – 6 x + ax + 1 , then f ( b ) – f ( - b ) will equal :	0general
a 100 meter long train crosses a man standing on the platform in 5 sec . what is the speed of the train ?	1physics
what is the sum r of all 3 digit numbers that leave a remainder of ' 2 ' when divided by 3 ?	0general
find the cost of carpeting a room 13 m long and 9 m broad with a carpet 75 cm wide at the rate of rs . 12 per square metre .	1physics
each week a restaurant serving mexican food uses the same volume of chili paste , which comes in either 25 - ounce cans or 15 - ounce cans of chili paste . if the restaurant must order 30 more of the smaller cans than the larger cans to fulfill its weekly needs , then how many larger cans are required to fulfill its weekly needs ?	0general
a boat running downstream covers a distance of 22 km in 4 hours while for covering the same distance upstream , it takes 5 hours . what is the speed of the boat in still water ?	1physics
express a speed of 54 kmph in meters per second ?	1physics
the cash difference between the selling prices of an article at a profit of 8 % and 6 % is rs 3 . the ratio of two selling prices is	2gain
the tax on a commodity is diminished by 16 % and its consumption increased by 15 % . the effect on revenue is ?	0general
the maximum number of student amoung them 2010 pens and 1050 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is :	0general
two quarts containing 2 ⁄ 3 water and 1 ⁄ 3 formula are mixed with 3 quarts containing 3 ⁄ 8 water and 5 ⁄ 8 formula . approximately what percent of the combined 5 - quart mixture is water ?	0general
two numbers are in the ratio 3 : 4 . if their l . c . m . is 48 . what is sum of the numbers ?	5other
a cricketer scored 134 runs which included 12 boundaries and 2 sixes . what percent of his total score did he make by running between the wickets .	0general
a worker makes a toy in every 2 h . if he works for 80 h , then how many toys will he make ?	1physics
bhavan travelled for 20 hours . he covered the first half of the distance at 50 kmph and remaining half of the distance at 40 kmph . find the distance travelled by bhavan ?	1physics
what is the tens digit of 7 ^ 957 ?	0general
? x 40 = 173 x 240	0general
rose made a part payment of $ 300 toward buying a brand new car , which represents 5 % of the total cost of the car , how much remains to be paid ?	0general
a pump can fill a tank with water in 2 hours . because of a leak , it took 2 x 1 / 3 hours to fill the tank . the leak can drain all the water of the tank in	1physics
in a rectangular coordinate system , what is the area of a rhombus whose vertices have the coordinates ( 0 , 3.5 ) , ( 12 , 0 ) , ( 0 , - 3.5 ) , ( - 12 , 0 ) ?	3geometry
rs . 6000 is lent out in two parts . one part is lent at 7 % p . a simple interest and the other is lent at 10 % p . a simple interest . the total interest at the end of one year was rs . 480 . find the ratio of the amounts lent at the lower rate and higher rate of interest ?	2gain
the banker ' s gain on a bill due due 1 year hence at 12 % per annum is rs . 7.2 . the true discount is	2gain
n is the greatest number which divides 1305 , 4665 and 6905 and gives the same remainder in each case . what is the sum of the digits in n ?	0general
john purchased a grinder and a mobile for rs . 15000 & rs . 8000 respectively . he sold the grinder at a loss of 2 % and the mobile phone at a profit of 10 % . overall how much he make a profit .	2gain
mid intended to type a 7 - digit number , but the two 3 ' s he meant to type did not appear . what appeared instead was the 5 - digit number 52115 . how many different 7 - digit numbers could mid have meant to type ?	0general
in a clothing store , there are 6 different colored neckties ( red , orange , yellow , green , blue , and indigo ) and 4 different colored shirts ( red , orange , yellow , green , blue , and indigo ) that must be packed into boxes for gifts . if each box can only fit one necktie and one shirt , what is the probability that all of the boxes will contain a necktie and a shirt of the same color ?	0general
a , b , c subscribe rs . 50000 for a business , a subscribes rs . 4000 more than b and b rs . 5000 more than c . out of a total profit of rs . 70000 , a receives :	0general
a canoe has two oars , left and right . each oar either works or breaks . the failure or non - failure of each oar is independent of the failure or non - failure of the other . you can still row the canoe with one oar . the probability that the left oar works is 3 / 5 . the probability that the right oar works is also 3 / 5 . what is the probability q that you can still row the canoe ?	0general
john purchased a grinder and a mobile for rs . 15000 & rs . 8000 respectively . he sold the grinder at a loss of 4 % and the mobile phone at a profit of 10 % . overall how much he make aprofit .	2gain
0.03 x 0.5 = ?	0general
how much interest can a person get on rs . 7200 at 17.5 % p . a . simple interest for a period of two years and 6 months ?	2gain
what is the units digit of 13 ^ 4 * 17 ^ 2 * 29 ^ 3 ?	0general
donovan took a math test and got 35 correct and 13 incorrect answers . what was the percentage of correct answers ? ( round to the nearest hundredth )	2gain
the slant height of a cone is 14 cm and radius of the base is 12 cm , find the curved surface of the cone .	3geometry
triangle xyz is an isosceles right triangle . if side xy is longer than side yz , and the area of the triangle is 49 , what is the measure of side xy ?	3geometry
if the price of sugar rises from rs . 6 per kg to rs . 7.50 per kg , a person , to have no increase in his expenditure on sugar , will have to reduce his consumption of sugar by	0general
in a lottery there are 10 prizes and 25 blanks . a lottery is drawn at random . what is the probability of getting a blank ?	4probability
what is the maximum number of pieces that a circular pizza can be cut into with 6 linear cuts ?	3geometry
walking at the rate of 4 kmph a man cover certain distance in 2 hr 45 min . running at a speed of 16.5 kmph the man will cover the same distance in .	1physics
how many positive factors do 120 and 96 have in common ?	5other
if p and q are positive integers each greater than 1 , and 15 ( p + 1 ) = 29 ( q + 1 ) , what is the least possible value of p + q ?	0general
how many numbers from 10 to 50 are exactly divisible by 3 ?	0general
the percentage profit earned by selling an article for rs . 1820 is equal to the percentage loss incurred by selling the same article for rs . 1280 . at what price should the article be sold to make 25 % profit ?	2gain
if the remainder is 3 when positive integer n is divided by 18 , what is the remainder when n is divided by 6 ?	0general
how many 4 digit numbers are there , if it is known that the first digit is even , the second is odd , the third is prime , the fourth ( units digit ) is divisible by 3 , and the digit 7 can be used only once ?	1physics
two kinds of vodka are mixed in the ratio 1 : 2 and 2 : 1 and they are sold fetching the profit 10 % and 20 % respectively . if the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4 / 3 and 5 / 3 times respectively , then the mixture will fetch the profit of	0general
farm tax is levied on the 40 % of the cultivated land . the tax department collected total $ 3840 through the farm tax from the village of mr . willam . mr . willam paid only $ 480 as farm tax . the percentage of total land of mr . willam over the total taxable land of the village is :	0general
the area of a circular field is 13.86 hectares . find the cost of fencing it at the rate of rs . 4.50 per metre .	3geometry
a mixture contains alcohol and water in the ratio 4 : 3 . if 6 litres of water is added to the mixture , the ratio becomes 4 : 5 . find the quantity of alcohol in the given mixture	0general
if the sides of a triangle are 26 cm , 25 cm and 10 cm , what is its area ?	3geometry
( 7.5 × 7.5 + 37.5 + 2.5 × 2.5 ) is equal to :	0general
a theater charges $ 12 for seats in the orchestra and $ 8 for seats in the balcony . on a certain night , a total of 350 tickets were sold for a total cost of $ 3,320 . how many more tickets were sold that night for seats in the balcony than for seats in the orchestra ?	0general
if a - b = 3 and a 2 + b 2 = 29 , find the value of ab .	0general
each child has 4 pencils and 13 skittles . if there are 8 children , how many pencils are there in total ?	0general
sandy had $ 140 left after spending 30 % of the money she took for shopping . how much money did sandy take along with her ?	2gain
three pipes , a , b , & c are attached to a tank . a & b can fill it in 20 & 30 minutes respectively while c can empty it in 15 minutes . if a , b & c are kept open successively for 1 minute each , how soon will the tank be filled ?	1physics
a total of $ 20,000 was invested in two certificates of deposit at simple annual interest rates of 6 percent and 8 percent , respectively . if the total interest on the two certificates was $ 1,440 at the end of one year , what fractional part of the $ 20.000 was invested at the higher rate ?	2gain
the average of 5 quantities is 6 . the average of 3 of them is 4 . what is the average of remaining 2 numbers ?	0general
having received his weekly allowance , john spent 3 / 5 of his allowance at the arcade . the next day he spent one third of his remaining allowance at the toy store , and then spent his last $ 0.40 at the candy store . what is john ’ s weekly allowance ?	0general
how much space , in cubic units , is left vacant when maximum number of 2 x 2 x 2 cubes are fitted in a rectangular box measuring 8 x 10 x 9 ?	3geometry
how many 4 digit numbers are there , if it is known that the first digit is even , the second is odd , the third is prime , the fourth ( units digit ) is divisible by 3 , and the digit 3 can be used only once ?	1physics
in an examination , there were 2,000 candidates , out of which 900 candidates were girls and rest were boys . if 32 % of the boys and 32 % of the girls passed , then the total percentage of failed candidates is ?	0general
find ( 7 x + 5 y ) / ( x - 2 y ) if x / 2 y = 3 / 2 ?	0general
when a student weighing 45 kgs left a class , the average weight of the remaining 59 students increased by 200 g . what is the average weight of the remaining 59 students	0general
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 j in miles per hour for the entire trip ?	1physics

liam is pulled over for speeding just as he is arriving at work . he explains to the police officer that he could not afford to be late today , and has arrived at work only four minutes before he is to start . the officer explains that if liam had driven 5 mph slower for his whole commute , he would have arrived at work exactly on time . if liam ' s commute is 60 miles long , how fast was he actually driving ? ( assume that liam drove at a constant speed for the duration of his commute . )

1physics

a bus covered a distance of 250 km , partly at an average speed of 40 kmph and partly at 60 kmph . if the total time taken is 5.4 hours , then the distance covered at 40 kmph is

1physics

a merchant has selected two items to be placed on sale , one of which currently sells for 35 percent less than the other . if he wishes to raise the price of the cheaper item so that the two items are equally priced , by what percentage must he raise the price of the less expensive item ?

0general

the population of a bacteria colony doubles every day . if it was started 11 days ago with 2 bacteria and each bacteria lives for 12 days , how large is the colony today ?

1physics

the unit digit in the product 7858 * 1086 * 4582 * 9783 is ?

0general

a train speeds past a pole in 20 seconds and passes through a tunnel 500 m long in 40 seconds . its length is :

1physics

yesterday ' s closing prices of 1,980 different stocks listed on a certain stock exchange were all different from today ' s closing prices . the number of stocks that closed at a higher price today than yesterday was 20 percent greater than the number that closed at a lower price . how many of the stocks closed at a higher price today than yesterday ?

2gain

20 - 8 percent of the programmers in a startup company weigh 200 pounds or more . 20 - 5 percent of the programmers that are under 200 pounds in that same company weigh 100 pounds or less . what percent of the programmers in the startup company weigh between 100 and 200 pounds ?

0general

the racing magic takes 90 seconds to circle the racing track once . the charging bull makes 40 rounds of the track in an hour . if they left the starting point together , how many minutes will it take for them to meet at the starting point for the second time ?

1physics

a lent rs . 5000 to b for 2 years and rs . 3000 to c for 4 years on simple interest at the same rate of interest and received rs . 3300 in all from both of them as interest . the rate of interest per annum is ?

2gain

in the first 10 overs of a cricket game , the run rate was only 3.2 . what should be the run rate in the remaining 40 overs to reach the target of 282 runs ?

2gain

what is the unit ’ s digit of 7 ^ 6

0general

a can finish a work in 4 days and b can do same work in half the time taken by a . then working together , what part of same work they can finish in a day ?

1physics

two pipes a and b can separately fill a tank in 16 and 10 minutes respectively . a third pipe c can drain off 60 liters of water per minute . if all the pipes are opened , the tank can be filled in 10 minutes . what is the capacity of the tank ?

1physics

a train speeds past a pole in 15 sec and a platform 110 m long in 25 sec , its length is ?

1physics

if ( t - 8 ) is a factor of t ^ 2 - kt - 47 , then k =

0general

during a special promotion , a certain filling station is offering a 10 percent discount on gas purchased after the first 10 gallons . if kim purchased 15 gallons of gas , and isabella purchased 25 gallons of gas , then isabella ‟ s total per - gallon discount is what percent of kim ‟ s total per - gallon discount ?

2gain

a man can row downstream at the rate of 16 km / hr and upstream at 6 km / hr . find man ' s rate in still water and the rate of current ?

2gain

a rectangular lawn of dimensions 100 m * 60 m has two roads each 10 m wide running in the middle of the lawn , one parallel to the length and the other parallel to the breadth . what is the cost of traveling the two roads at rs . 3 per sq m ?

3geometry

find avrg speed if a man travels at speed of 18 km / hr up and 24 km / hr dawn at an altitude of 300 m .

1physics

nitin ranks 27 th in a class of 89 students . what is rank from the last ?

5other

set a consists of the integers from 3 to 12 , inclusive , while set b consists of the integers from 6 to 20 , inclusive . how many distinct integers do belong to the both sets at the same time ?

5other

what is the units digit of the expression 14 ^ 7 − 20 ^ 4 ?

0general

the telephone company wants to add an area code composed of 2 letters to every phone number . in order to do so , the company chose a special sign language containing 424 different signs . if the company used 422 of the signs fully and two remained unused , how many additional area codes can be created if the company uses all 424 signs ?

0general

thin rectangular slab of potato was cut into two pieces for an osmosis lab . one piece is 50 mm greater than the other . if the original uncut slab is 600 mm , what is the length of the other piece of the potato after it is cut .

3geometry

a alone can complete a work in 16 days and b alone can do in 12 days . star ɵ ng with a , they work on alternate days . the total work will be completed in

1physics

a cistern which could be filled in 6 hours takes one hour more to be filled owing to a leak in its bottom . if the cistern is full in what time will the leak empty it ?

1physics

george is 8 years more than christopher and ford is 2 years younger than christopher . the sum of their ages is 60 . find the ages of ford .

0general

on sunday , bill ran 4 more miles than he ran on saturday . julia did not run on saturday , but she ran twice the number of miles on sunday that bill ran on sunday . if bill and julia ran a total of 28 miles on saturday and sunday , how many miles did bill run on sunday ?

0general

bhanu spends 30 % of his income on petrol on scooter 14 % of the remaining on house rent and the balance on food . if he spends rs . 300 on petrol then what is the expenditure on house rent ?

2gain

a man covered a certain distance at some speed . if he had moved 3 kmph faster , he would have taken 40 minutes less . if he had moved 2 kmph slower , he would have taken 40 minutes more . what is the distance in km ?

1physics

if x * y = xy – 2 ( x + y ) for all integers x and y , then 2 * ( – 3 ) =

0general

a man is 18 years older than his son . in eight years , his age will be twice the age of his son . the present age of this son is

0general

operation # is defined as : a # b = 4 a ^ 2 + 4 b ^ 2 + 8 ab for all non - negative integers . what is the value of ( a + b ) + 5 , when a # b = 100 ?

0general

a student got 72 % in math and 84 % in history . to get an overall average of 75 % , how much should the student get in the third subject ?

0general

if f ( x ) = ax ^ 2 – 6 x + ax + 1 , then f ( b ) – f ( - b ) will equal :

0general

a 100 meter long train crosses a man standing on the platform in 5 sec . what is the speed of the train ?

1physics

what is the sum r of all 3 digit numbers that leave a remainder of ' 2 ' when divided by 3 ?

0general

find the cost of carpeting a room 13 m long and 9 m broad with a carpet 75 cm wide at the rate of rs . 12 per square metre .

1physics

each week a restaurant serving mexican food uses the same volume of chili paste , which comes in either 25 - ounce cans or 15 - ounce cans of chili paste . if the restaurant must order 30 more of the smaller cans than the larger cans to fulfill its weekly needs , then how many larger cans are required to fulfill its weekly needs ?

0general

a boat running downstream covers a distance of 22 km in 4 hours while for covering the same distance upstream , it takes 5 hours . what is the speed of the boat in still water ?

1physics

express a speed of 54 kmph in meters per second ?

1physics

the cash difference between the selling prices of an article at a profit of 8 % and 6 % is rs 3 . the ratio of two selling prices is

2gain

the tax on a commodity is diminished by 16 % and its consumption increased by 15 % . the effect on revenue is ?

0general

the maximum number of student amoung them 2010 pens and 1050 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is :

0general

two quarts containing 2 ⁄ 3 water and 1 ⁄ 3 formula are mixed with 3 quarts containing 3 ⁄ 8 water and 5 ⁄ 8 formula . approximately what percent of the combined 5 - quart mixture is water ?

0general

two numbers are in the ratio 3 : 4 . if their l . c . m . is 48 . what is sum of the numbers ?

5other

a cricketer scored 134 runs which included 12 boundaries and 2 sixes . what percent of his total score did he make by running between the wickets .

0general

a worker makes a toy in every 2 h . if he works for 80 h , then how many toys will he make ?

1physics

bhavan travelled for 20 hours . he covered the first half of the distance at 50 kmph and remaining half of the distance at 40 kmph . find the distance travelled by bhavan ?

1physics

what is the tens digit of 7 ^ 957 ?

0general

? x 40 = 173 x 240

0general

rose made a part payment of $ 300 toward buying a brand new car , which represents 5 % of the total cost of the car , how much remains to be paid ?

0general

a pump can fill a tank with water in 2 hours . because of a leak , it took 2 x 1 / 3 hours to fill the tank . the leak can drain all the water of the tank in

1physics

in a rectangular coordinate system , what is the area of a rhombus whose vertices have the coordinates ( 0 , 3.5 ) , ( 12 , 0 ) , ( 0 , - 3.5 ) , ( - 12 , 0 ) ?

3geometry

rs . 6000 is lent out in two parts . one part is lent at 7 % p . a simple interest and the other is lent at 10 % p . a simple interest . the total interest at the end of one year was rs . 480 . find the ratio of the amounts lent at the lower rate and higher rate of interest ?

2gain

the banker ' s gain on a bill due due 1 year hence at 12 % per annum is rs . 7.2 . the true discount is

2gain

n is the greatest number which divides 1305 , 4665 and 6905 and gives the same remainder in each case . what is the sum of the digits in n ?

0general

john purchased a grinder and a mobile for rs . 15000 & rs . 8000 respectively . he sold the grinder at a loss of 2 % and the mobile phone at a profit of 10 % . overall how much he make a profit .

2gain

mid intended to type a 7 - digit number , but the two 3 ' s he meant to type did not appear . what appeared instead was the 5 - digit number 52115 . how many different 7 - digit numbers could mid have meant to type ?

0general

in a clothing store , there are 6 different colored neckties ( red , orange , yellow , green , blue , and indigo ) and 4 different colored shirts ( red , orange , yellow , green , blue , and indigo ) that must be packed into boxes for gifts . if each box can only fit one necktie and one shirt , what is the probability that all of the boxes will contain a necktie and a shirt of the same color ?

0general

a , b , c subscribe rs . 50000 for a business , a subscribes rs . 4000 more than b and b rs . 5000 more than c . out of a total profit of rs . 70000 , a receives :

0general

a canoe has two oars , left and right . each oar either works or breaks . the failure or non - failure of each oar is independent of the failure or non - failure of the other . you can still row the canoe with one oar . the probability that the left oar works is 3 / 5 . the probability that the right oar works is also 3 / 5 . what is the probability q that you can still row the canoe ?

0general

john purchased a grinder and a mobile for rs . 15000 & rs . 8000 respectively . he sold the grinder at a loss of 4 % and the mobile phone at a profit of 10 % . overall how much he make aprofit .

2gain

0.03 x 0.5 = ?

0general

how much interest can a person get on rs . 7200 at 17.5 % p . a . simple interest for a period of two years and 6 months ?

2gain

what is the units digit of 13 ^ 4 * 17 ^ 2 * 29 ^ 3 ?

0general

donovan took a math test and got 35 correct and 13 incorrect answers . what was the percentage of correct answers ? ( round to the nearest hundredth )

2gain

the slant height of a cone is 14 cm and radius of the base is 12 cm , find the curved surface of the cone .

3geometry

triangle xyz is an isosceles right triangle . if side xy is longer than side yz , and the area of the triangle is 49 , what is the measure of side xy ?

3geometry

if the price of sugar rises from rs . 6 per kg to rs . 7.50 per kg , a person , to have no increase in his expenditure on sugar , will have to reduce his consumption of sugar by

0general

in a lottery there are 10 prizes and 25 blanks . a lottery is drawn at random . what is the probability of getting a blank ?

4probability

what is the maximum number of pieces that a circular pizza can be cut into with 6 linear cuts ?

3geometry

walking at the rate of 4 kmph a man cover certain distance in 2 hr 45 min . running at a speed of 16.5 kmph the man will cover the same distance in .

1physics

how many positive factors do 120 and 96 have in common ?

5other

if p and q are positive integers each greater than 1 , and 15 ( p + 1 ) = 29 ( q + 1 ) , what is the least possible value of p + q ?

0general

how many numbers from 10 to 50 are exactly divisible by 3 ?

0general

the percentage profit earned by selling an article for rs . 1820 is equal to the percentage loss incurred by selling the same article for rs . 1280 . at what price should the article be sold to make 25 % profit ?

2gain

if the remainder is 3 when positive integer n is divided by 18 , what is the remainder when n is divided by 6 ?

0general

how many 4 digit numbers are there , if it is known that the first digit is even , the second is odd , the third is prime , the fourth ( units digit ) is divisible by 3 , and the digit 7 can be used only once ?

1physics

two kinds of vodka are mixed in the ratio 1 : 2 and 2 : 1 and they are sold fetching the profit 10 % and 20 % respectively . if the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4 / 3 and 5 / 3 times respectively , then the mixture will fetch the profit of

0general

farm tax is levied on the 40 % of the cultivated land . the tax department collected total $ 3840 through the farm tax from the village of mr . willam . mr . willam paid only $ 480 as farm tax . the percentage of total land of mr . willam over the total taxable land of the village is :

0general

the area of a circular field is 13.86 hectares . find the cost of fencing it at the rate of rs . 4.50 per metre .

3geometry

a mixture contains alcohol and water in the ratio 4 : 3 . if 6 litres of water is added to the mixture , the ratio becomes 4 : 5 . find the quantity of alcohol in the given mixture

0general

if the sides of a triangle are 26 cm , 25 cm and 10 cm , what is its area ?

3geometry

( 7.5 × 7.5 + 37.5 + 2.5 × 2.5 ) is equal to :

0general

a theater charges $ 12 for seats in the orchestra and $ 8 for seats in the balcony . on a certain night , a total of 350 tickets were sold for a total cost of $ 3,320 . how many more tickets were sold that night for seats in the balcony than for seats in the orchestra ?

0general

if a - b = 3 and a 2 + b 2 = 29 , find the value of ab .

0general

each child has 4 pencils and 13 skittles . if there are 8 children , how many pencils are there in total ?

0general

sandy had $ 140 left after spending 30 % of the money she took for shopping . how much money did sandy take along with her ?

2gain

three pipes , a , b , & c are attached to a tank . a & b can fill it in 20 & 30 minutes respectively while c can empty it in 15 minutes . if a , b & c are kept open successively for 1 minute each , how soon will the tank be filled ?

1physics

a total of $ 20,000 was invested in two certificates of deposit at simple annual interest rates of 6 percent and 8 percent , respectively . if the total interest on the two certificates was $ 1,440 at the end of one year , what fractional part of the $ 20.000 was invested at the higher rate ?

2gain

the average of 5 quantities is 6 . the average of 3 of them is 4 . what is the average of remaining 2 numbers ?

0general

having received his weekly allowance , john spent 3 / 5 of his allowance at the arcade . the next day he spent one third of his remaining allowance at the toy store , and then spent his last $ 0.40 at the candy store . what is john ’ s weekly allowance ?

0general

how much space , in cubic units , is left vacant when maximum number of 2 x 2 x 2 cubes are fitted in a rectangular box measuring 8 x 10 x 9 ?

3geometry

how many 4 digit numbers are there , if it is known that the first digit is even , the second is odd , the third is prime , the fourth ( units digit ) is divisible by 3 , and the digit 3 can be used only once ?

1physics

in an examination , there were 2,000 candidates , out of which 900 candidates were girls and rest were boys . if 32 % of the boys and 32 % of the girls passed , then the total percentage of failed candidates is ?

0general

find ( 7 x + 5 y ) / ( x - 2 y ) if x / 2 y = 3 / 2 ?

0general

when a student weighing 45 kgs left a class , the average weight of the remaining 59 students increased by 200 g . what is the average weight of the remaining 59 students

0general

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 j in miles per hour for the entire trip ?

1physics