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

Problem stringlengths 5 967	category class label 6 classes
a shopkeeper bought 600 oranges and 400 bananas . he found 15 % of oranges and 8 % of bananas were rotten . find the percentage of fruits in good condition .	2gain
reema took a loan of rs 1800 with simple interest for as many years as the rate of interest . if she paid rs . 632 as interest at the end of the loan period , what was the rate of interest .	2gain
12 points lie on a circle . how many cyclic quadrilaterals can be drawn by using these points ?	3geometry
there are 15 members in a family . it takes 180 days for a women to complete the work , however man completes in 120 days . they take 17 days to complete the work if men work on alternate days and women work every third day . if all of them started together on the 1 st day , then how many men are there in the family	1physics
there is a train and car . the ratio between the speed of a train & a car is 16 : 15 respectively . also , a bus covered a distance of 480 km in 8 hours . the speed of the bus is 3 / 4 th of the speed of the train . how many kilometers will the car cover in 4 hours ?	1physics
farm tax is levied on the 75 % of the cultivated land . the tax department collected total $ 3840 through the farm tax from the village of mr . william . mr . william paid only $ 480 as farm tax . the percentage of total land of mr . willam over the total taxable land of the village is :	0general
what is x if 2 x - y = 14 and y = 2 ?	0general
the radius of the circle is reduced from 5 cm to 4 cm then the % change of area .	3geometry
in what time will a train 200 m long cross an electric pole , it its speed be 216 km / hr ?	1physics
if t = 1 / ( 1 * 2 ) + 1 / ( 2 * 3 ) + 1 / ( 3 * 4 ) + 1 / ( 4 * 5 ) + . . . . . . . . . 1 / [ n ( n + 1 ) ] , for some positive integer n , what is the smallest value of n such that t > 097 ?	0general
jack and jill work at a hospital with 6 other workers . for an internal review , 2 of the 8 workers will be randomly chosen to be interviewed . what is the probability that jack and jill will both be chosen ?	1physics
a pupil ' s marks were wrongly entered as 83 instead of 70 . due to the average marks for the class got increased by half . the number of pupils in the class is ?	0general
calculate the average of all the numbers between 18 and 57 which are divisible by 7 .	0general
what is the square root of 6,561 ?	5other
how many positive integers less than 100 are neither multiples of 2 or 5 .	0general
a trained covered x km at 50 kmph and another 2 x km at 20 kmph . find the average speed of the train in covering the entire 3 x km .	0general
two brothers took the gmat exam , the higher score is x and the lower one is y . if the difference between the two scores is 1 / 3 , what is the value of y / x ?	0general
a drink vendor has 60 liters of maaza , 144 liters of pepsi and 368 liters of sprite . he wants to pack them in cans , so that each can contains the same number of liters of a drink , and does n ' t want to mix any two drinks in a can . what is the least number of cans required ?	0general
when 1 / 10 % of 4,000 is subtracted from 1 / 10 of 4,000 , the difference is	0general
if 15 % of 30 % of 50 % of a number is 99 , then what is the number ?	2gain
working together , printer a and printer b would finish the task in 24 minutes . printer a alone would finish the task in 60 minutes . how many pages does the task contain if printer b prints 4 pages a minute more than printer a ?	1physics
if a farmer wants to plough a farm field on time , he must plough 100 hectares a day . for technical reasons he ploughed only 85 hectares a day , hence he had to plough 2 more days than he planned and he still has 40 hectares left . what is the area of the farm field and how many days the farmer planned to work initially ?	1physics
in a certain town , the ratio of ny yankees fans to ny mets fans is 3 : 2 , and the ratio of ny mets fans to boston red sox fans is 4 : 5 . if there are 330 baseball fans in the town , each of whom is a fan of exactly one of those 3 teams , how many ny mets fans are there in this town ?	5other
a retailer sells 5 shirts . he sells first 2 shirts for $ 30 and $ 20 . if the retailer wishes to sell the 5 shirts for an overall average price of over $ 30 , what must be the minimum average price of the remaining 3 shirts ?	0general
ratio between rahul and deepak is 4 : 3 , after 10 years rahul age will be 26 years . what is deepak present age .	5other
difference of two numbers is 1760 . if 7.5 % of the number is 12.5 % of the other number , find the number ?	2gain
if a clock strikes 12 in 33 seconds , it will strike 6 in how many seconds ?	1physics
car a runs at the speed of 50 km / hr & reaches its destination in 8 hr . car b runs at the speed of 25 km / h & reaches its destination in 4 h . what is the respective ratio of distances covered by car a & car b ?	1physics
from january 1 , 1991 , to january 1 , 1993 , the number of people enrolled in health maintenance organizations increased by 25 percent . the enrollment on january 1 , 1993 , was 45 million . how many million people , to the nearest million , were enrolled in health maintenance organizations on january 1 , 1991 ?	2gain
if 3 people a , b , c can do a work simultaneously in 6 days . a and b can do work in 10 days . b and c can do work in 15 days . c and a can do the same work in 20 days . in how many days that a can complete the same work alone ?	1physics
a farmer has an apple orchard consisting of fuji and gala apple trees . due to high winds this year 10 % of his trees cross pollinated . the number of his trees that are pure fuji plus the cross - pollinated ones totals 170 , while 3 / 4 of all his trees are pure fuji . how many of his trees are pure gala ?	0general
a man is 46 years older than his son . in two years , his age will be twice the age of his son . the present age of his son is :	0general
pipe a that can fill a tank in an hour and pipe b that can fill the tank in half an hour are opened simultaneously when the tank is empty . pipe b is shut 10 minutes before the tank overflows . when will the tank overflow ?	1physics
what is the maximum value of vx - yz . if the value of v , x , y , z have to be chosen from the set a where a ( - 3 , - 2 , - 1 , 01 , 23 )	0general
x and y are two towns . ganesh covers the distance from x to y at an average speed of 54 km / hr . however , he covers the distance from y to x at an average speed of 36 km / hr . his average speed during the whole journey in km / hr . is :	0general
p runs 20 % faster than q so p gives q a 50 meter head start . if the race ends in a tie , how far ( in meters ) did p run in the race ?	2gain
suppose 10 monkeys take 10 minutes to eat 10 bananas . how many monkeys would it take to eat 70 bananas in 70 minutes ?	1physics
a man walks at a rate of 10 mph . after every ten miles , he rests for 5 minutes . how much time does he take to walk 50 miles ?	1physics
on a map , 4.5 inches represent 45 miles . how many miles approximately is the distance if you measured 254 centimeters assuming that 1 - inch is 2.54 centimeters ?	1physics
what is the total number of positive integers that are less than 400 and that have no positive factor in common with 400 other than 1 ?	0general
john bought 9.25 m of cloth for $ 416.25 . find the cost price per metre .	1physics
if p is a prime number greater than 3 , find the remainder when p ^ 2 + 12 is divided by 12 .	0general
two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 15 kmph and 21 kmph respectively . when they meet , it is found that one train has traveled 60 km more than the other one . the distance between the two stations is ?	1physics
what is the rate percent when the simple interest on rs . 910 amount to rs . 260 in 4 years ?	2gain
in 1979 approximately 1 / 3 of the 37.3 million airline passengers traveling to or from the united states used kennedy airport . if the number of such passengers that used miami airport was 1 / 4 the number that used kennedy airport and 3 times the number that used logan airport , approximately how many millions of these passengers used logan airport that year ?	0general
if $ 792 are divided between worker a and worker b in the ratio 5 : 6 , what is the share that worker b will get ?	5other
evaluate : 1182 - 12 * 3 * 2 = ?	0general
if a ( a - 4 ) = 5 and b ( b - 4 ) = 5 , where a ≠ b , then a + b =	0general
in a software company 4 / 10 of people know c + + , 2 / 4 of them know java , 2 / 8 of them know neither , find the total possibility to know c + + ?	0general
the average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 10 years . find the average age of the women ?	0general
the number 0.8 is how much greater than 1 / 2 ?	0general
two trains running in opposite directions cross a man standing on the platform in 20 seconds and 18 seconds respectively and they cross each other in 19 seconds . the ratio of their speeds is :	1physics
cindy has her eye on a sundress but thinks it is too expensive . it goes on sale for 15 % less than the original price . before cindy can buy the dress , however , the store raises the new price by 25 % . if the dress cost $ 68 after it went on sale for 15 % off , what is the difference between the original price and the final price ?	0general
the cost per pound of milk powder and coffee were the same in june . in july , the price of coffee shot up by 200 % and that of milk powder dropped by 60 % . if in july , a mixture containing equal quantities of milk powder and coffee costs $ 5.10 for 3 lbs , how much did a pound of milk powder cost in july ?	0general
each of the 55 points is placed either inside or on the surface of a perfect sphere . if 60 % or fewer of the points touch the surface , what is the maximum number of segments which , if connected from those points to form chords , could be the diameter of the sphere ?	3geometry
on the richter scale , which measures the total amount of energy released during an earthquake , a reading of x - 1 indicates one - tenth the released energy as is indicated by a reading of x . on that scale , the frequency corresponding to a reading of 2 is how many times as great as the frequency corresponding to a reading of 8 ?	0general
a train leaves mumabai at 9 am at a speed of 40 kmph . after one hour , another train leaves mumbai in the same direction as that of the first train at a speed of 60 kmph . when and at what distance from mumbai do the two trains meet ?	1physics
for any number z , z * is defined as the greatest positive even integer less than or equal to y . what is the value of 6.30 – 6.30 * ?	0general
the guests at a football banquet consumed a total of 406 pounds of food . if no individual guest consumed more than 2.5 pounds of food , what is the minimum number of guests that could have attended the banquet ?	0general
in a group of 600 readers who read science fiction or literacy works or both , 200 read science fiction and 230 read literacy works . how many read both science fiction and literacy works ?	5other
if x : y = 3 : 5 , find the value of ( 2 x + 4 y ) : ( 3 x – y )	0general
if daily wages of a man is double to that of a woman , how many men should work for 20 days to earn rs . 14400 ? given that wages for 40 women for 30 days are rs . 21600 .	1physics
persons a and b . person a picks a random no . from 1 to 1000 . then person b picks a random no . from 1 to 1000 . what is the probability of b getting no . greater then what a has picked .	4probability
cole drove from home to work at an average speed of 50 kmh . he then returned home at an average speed of 110 kmh . if the round trip took a total of 2 hours , how many minutes did it take cole to drive to work ?	1physics
john distributes his pencil among his 4 friends rose , mary , ranjan , and rohit in the ratio 1 / 5 : 1 / 3 : 1 / 4 : 1 / 5 . what is the minimum no . of pencils that the person should have ?	5other
an equal number of desks and bookcases are to be placed along a library wall that is 15 meters long . each desk is 2 meters long , and each bookshelf is 1.5 meters long . if the maximum possible number of desks and bookcases are to be placed along the wall , then the space along the wall that is left over will be how many g meters long ?	0general
- 88 × 39 + 312 = ?	0general
what will be the cost of building a fence around a square plot with area equal to 25 sq ft , if the price per foot of building the fence is rs . 58 ?	3geometry
a train 280 m long , running with a speed of 63 km / hr will pass a tree in	1physics
a shop owner sells 15 mtr of cloth and gains sp of 10 mtrs . find the gain % ?	2gain
if f ( x ) = 12 - x ^ 2 / 2 and f ( 2 k ) = 7 k , what is one possible value for k ?	0general
there were two candidates in an election . winner candidate received 62 % of votes and won the election by 348 votes . find the number of votes casted to the winning candidate ?	2gain
what is the greatest positive integer t such that 3 ^ t is a factor of 9 ^ 10 ?	5other
in a ratio which is equal to 3 : 4 , if the antecedent is 12 , then the consequent is ?	5other
what is the rate percent when the simple interest on rs . 4000 amount to rs . 640 in 2 years ?	2gain
if 2 x + y = 7 and x + 2 y = 8 , then ( x + y ) / 3 =	0general
farm tax is levied on the 90 % of the cultivated land . the tax department collected total $ 3840 through the farm tax from the village of mr . william . mr . william 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 average salary of a person for the months of january , february , march and april is rs . 8000 and that for the months february , march , april and may is rs . 8500 . if his salary for the month of may is rs . 6500 , find his salary for the month of january ?	0general
don and his wife each receive an 8 percent annual raise . if don receives a raise rs . 800 and his wife receives a raise of rs . 840 , what is the difference between their annual income after their raises ?	2gain
if the simple interest on a sum of money for 2 years at 5 % per annum is rs . 50 , what will be the compound interest on same values	2gain
if x + y = 300 , x - y = 200 , for integers of x and y , y = ?	0general
ramu bought an old car for rs . 42000 . he spent rs . 13000 on repairs and sold it for rs . 66900 . what is his profit percent ?	2gain
a can do a work in 8 days . b can do the same work in 16 days . if both a & b are working together in how many days they will finish the work ?	1physics
tom , working alone , can paint a room in 6 hours . peter and john , working independently , can paint the same room in 3 hours and 6 hours , respectively . tom starts painting the room and works on his own for one hour . he is then joined by peter and they work together for an hour . finally , john joins them and the three of them work together to finish the room , each one working at his respective rate . what fraction of the whole job was done by peter ?	1physics
if ( 1 – 1.25 ) n = 5 , then n =	0general
if in a race of 70 m , a covers the distance in 20 seconds and b in 25 seconds , then a beats b by :	1physics
a certain social security recipient will receive an annual benefit of $ 12000 provided he has annual earnings of $ 9360 or less , but the benefit will be reduced by $ 1 for every $ 3 of annual earnings over $ 9360 . what amount of total annual earnings would result in a 65 percent reduction in the recipient ' s annual social security benefit ? ( assume social security benefits are not counted as part of annual earnings . )	0general
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 5.2 hours , then the distance covered at 40 kmph is	1physics
jane and ashley take 13 1 / 3 days and 40 days respectively to complete a project when they work on it alone . they thought if they worked on the project together , they would take fewer days to complete it . during the period that they were working together , jane took an 8 day leave from work . this led to jane ' s working for 4 extra days on her own to complete the project . how long did it take to finish the project ?	1physics
the average ( arithmetic mean ) of all scores on a certain algebra test was 90 . if the average of the 8 male students ’ grades was 82 , and the average of the female students ’ grades was 92 , how many female students took the test ?	0general
if the length of the longest chord of a certain circle is 24 , what is the radius of that certain circle ?	3geometry
a leak in the bottom of a tank can empty the full tank in 6 hours . an inlet pipe fills water at the rate of 4 liters per minute . when the tank is full in inlet is opened and due to the leak the tank is empties in 8 hours . the capacity of the tank is ?	1physics
the class mean score on a test was 60 , and the standard deviation was 10 . if jack ' s score was within 2 standard deviations of the mean , what is the lowest score he could have received ?	0general
if an object travels at eight feet per second , how many feet does it travel in one hour ?	1physics
the ratio of buses to cars on river road is 1 to 10 . if there are 90 fewer buses than cars on river road , how many cars are on river road ?	5other
a merchant marks goods up by 75 % and then offers a discount on the marked price . the profit that the merchant makes after offering the discount is 57.5 % . what % discount did the merchant offer ?	2gain
a certain roller coaster has 5 cars , and a passenger is equally likely to ride in any 1 of the 5 cars each time that passenger rides the roller coaster . if a certain passenger is to ride the roller coaster 5 times , what is the probability that the passenger will ride in each of the 5 cars ?	0general
jane and ashley take 10 days and 40 days respectively to complete a project when they work on it alone . they thought if they worked on the project together , they would take fewer days to complete it . during the period that they were working together , jane took an eight day leave from work . this led to jane ' s working for four extra days on her own to complete the project . how long did it take to finish the project ?	1physics
if john covers a certain distance in 1 hr . 24 min . by covering two third of the distance at 4 kmph and the rest at 5 kmph , then find the total distance .	1physics
if m and n are positive integers and m ^ 2 + n ^ 2 = 10 , what is the value of m ^ 3 + n ^ 3 ?	0general

a shopkeeper bought 600 oranges and 400 bananas . he found 15 % of oranges and 8 % of bananas were rotten . find the percentage of fruits in good condition .

2gain

reema took a loan of rs 1800 with simple interest for as many years as the rate of interest . if she paid rs . 632 as interest at the end of the loan period , what was the rate of interest .

2gain

12 points lie on a circle . how many cyclic quadrilaterals can be drawn by using these points ?

3geometry

there are 15 members in a family . it takes 180 days for a women to complete the work , however man completes in 120 days . they take 17 days to complete the work if men work on alternate days and women work every third day . if all of them started together on the 1 st day , then how many men are there in the family

1physics

there is a train and car . the ratio between the speed of a train & a car is 16 : 15 respectively . also , a bus covered a distance of 480 km in 8 hours . the speed of the bus is 3 / 4 th of the speed of the train . how many kilometers will the car cover in 4 hours ?

1physics

farm tax is levied on the 75 % of the cultivated land . the tax department collected total $ 3840 through the farm tax from the village of mr . william . mr . william paid only $ 480 as farm tax . the percentage of total land of mr . willam over the total taxable land of the village is :

0general

what is x if 2 x - y = 14 and y = 2 ?

0general

the radius of the circle is reduced from 5 cm to 4 cm then the % change of area .

3geometry

in what time will a train 200 m long cross an electric pole , it its speed be 216 km / hr ?

1physics

if t = 1 / ( 1 * 2 ) + 1 / ( 2 * 3 ) + 1 / ( 3 * 4 ) + 1 / ( 4 * 5 ) + . . . . . . . . . 1 / [ n ( n + 1 ) ] , for some positive integer n , what is the smallest value of n such that t > 097 ?

0general

jack and jill work at a hospital with 6 other workers . for an internal review , 2 of the 8 workers will be randomly chosen to be interviewed . what is the probability that jack and jill will both be chosen ?

1physics

a pupil ' s marks were wrongly entered as 83 instead of 70 . due to the average marks for the class got increased by half . the number of pupils in the class is ?

0general

calculate the average of all the numbers between 18 and 57 which are divisible by 7 .

0general

what is the square root of 6,561 ?

5other

how many positive integers less than 100 are neither multiples of 2 or 5 .

0general

a trained covered x km at 50 kmph and another 2 x km at 20 kmph . find the average speed of the train in covering the entire 3 x km .

0general

two brothers took the gmat exam , the higher score is x and the lower one is y . if the difference between the two scores is 1 / 3 , what is the value of y / x ?

0general

a drink vendor has 60 liters of maaza , 144 liters of pepsi and 368 liters of sprite . he wants to pack them in cans , so that each can contains the same number of liters of a drink , and does n ' t want to mix any two drinks in a can . what is the least number of cans required ?

0general

when 1 / 10 % of 4,000 is subtracted from 1 / 10 of 4,000 , the difference is

0general

if 15 % of 30 % of 50 % of a number is 99 , then what is the number ?

2gain

working together , printer a and printer b would finish the task in 24 minutes . printer a alone would finish the task in 60 minutes . how many pages does the task contain if printer b prints 4 pages a minute more than printer a ?

1physics

if a farmer wants to plough a farm field on time , he must plough 100 hectares a day . for technical reasons he ploughed only 85 hectares a day , hence he had to plough 2 more days than he planned and he still has 40 hectares left . what is the area of the farm field and how many days the farmer planned to work initially ?

1physics

in a certain town , the ratio of ny yankees fans to ny mets fans is 3 : 2 , and the ratio of ny mets fans to boston red sox fans is 4 : 5 . if there are 330 baseball fans in the town , each of whom is a fan of exactly one of those 3 teams , how many ny mets fans are there in this town ?

5other

a retailer sells 5 shirts . he sells first 2 shirts for $ 30 and $ 20 . if the retailer wishes to sell the 5 shirts for an overall average price of over $ 30 , what must be the minimum average price of the remaining 3 shirts ?

0general

ratio between rahul and deepak is 4 : 3 , after 10 years rahul age will be 26 years . what is deepak present age .

5other

difference of two numbers is 1760 . if 7.5 % of the number is 12.5 % of the other number , find the number ?

2gain

if a clock strikes 12 in 33 seconds , it will strike 6 in how many seconds ?

1physics

car a runs at the speed of 50 km / hr & reaches its destination in 8 hr . car b runs at the speed of 25 km / h & reaches its destination in 4 h . what is the respective ratio of distances covered by car a & car b ?

1physics

from january 1 , 1991 , to january 1 , 1993 , the number of people enrolled in health maintenance organizations increased by 25 percent . the enrollment on january 1 , 1993 , was 45 million . how many million people , to the nearest million , were enrolled in health maintenance organizations on january 1 , 1991 ?

2gain

if 3 people a , b , c can do a work simultaneously in 6 days . a and b can do work in 10 days . b and c can do work in 15 days . c and a can do the same work in 20 days . in how many days that a can complete the same work alone ?

1physics

a farmer has an apple orchard consisting of fuji and gala apple trees . due to high winds this year 10 % of his trees cross pollinated . the number of his trees that are pure fuji plus the cross - pollinated ones totals 170 , while 3 / 4 of all his trees are pure fuji . how many of his trees are pure gala ?

0general

a man is 46 years older than his son . in two years , his age will be twice the age of his son . the present age of his son is :

0general

pipe a that can fill a tank in an hour and pipe b that can fill the tank in half an hour are opened simultaneously when the tank is empty . pipe b is shut 10 minutes before the tank overflows . when will the tank overflow ?

1physics

what is the maximum value of vx - yz . if the value of v , x , y , z have to be chosen from the set a where a ( - 3 , - 2 , - 1 , 01 , 23 )

0general

x and y are two towns . ganesh covers the distance from x to y at an average speed of 54 km / hr . however , he covers the distance from y to x at an average speed of 36 km / hr . his average speed during the whole journey in km / hr . is :

0general

p runs 20 % faster than q so p gives q a 50 meter head start . if the race ends in a tie , how far ( in meters ) did p run in the race ?

2gain

suppose 10 monkeys take 10 minutes to eat 10 bananas . how many monkeys would it take to eat 70 bananas in 70 minutes ?

1physics

a man walks at a rate of 10 mph . after every ten miles , he rests for 5 minutes . how much time does he take to walk 50 miles ?

1physics

on a map , 4.5 inches represent 45 miles . how many miles approximately is the distance if you measured 254 centimeters assuming that 1 - inch is 2.54 centimeters ?

1physics

what is the total number of positive integers that are less than 400 and that have no positive factor in common with 400 other than 1 ?

0general

john bought 9.25 m of cloth for $ 416.25 . find the cost price per metre .

1physics

if p is a prime number greater than 3 , find the remainder when p ^ 2 + 12 is divided by 12 .

0general

two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 15 kmph and 21 kmph respectively . when they meet , it is found that one train has traveled 60 km more than the other one . the distance between the two stations is ?

1physics

what is the rate percent when the simple interest on rs . 910 amount to rs . 260 in 4 years ?

2gain

in 1979 approximately 1 / 3 of the 37.3 million airline passengers traveling to or from the united states used kennedy airport . if the number of such passengers that used miami airport was 1 / 4 the number that used kennedy airport and 3 times the number that used logan airport , approximately how many millions of these passengers used logan airport that year ?

0general

if $ 792 are divided between worker a and worker b in the ratio 5 : 6 , what is the share that worker b will get ?

5other

evaluate : 1182 - 12 * 3 * 2 = ?

0general

if a ( a - 4 ) = 5 and b ( b - 4 ) = 5 , where a ≠ b , then a + b =

0general

in a software company 4 / 10 of people know c + + , 2 / 4 of them know java , 2 / 8 of them know neither , find the total possibility to know c + + ?

0general

the average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 10 years . find the average age of the women ?

0general

the number 0.8 is how much greater than 1 / 2 ?

0general

two trains running in opposite directions cross a man standing on the platform in 20 seconds and 18 seconds respectively and they cross each other in 19 seconds . the ratio of their speeds is :

1physics

cindy has her eye on a sundress but thinks it is too expensive . it goes on sale for 15 % less than the original price . before cindy can buy the dress , however , the store raises the new price by 25 % . if the dress cost $ 68 after it went on sale for 15 % off , what is the difference between the original price and the final price ?

0general

the cost per pound of milk powder and coffee were the same in june . in july , the price of coffee shot up by 200 % and that of milk powder dropped by 60 % . if in july , a mixture containing equal quantities of milk powder and coffee costs $ 5.10 for 3 lbs , how much did a pound of milk powder cost in july ?

0general

each of the 55 points is placed either inside or on the surface of a perfect sphere . if 60 % or fewer of the points touch the surface , what is the maximum number of segments which , if connected from those points to form chords , could be the diameter of the sphere ?

3geometry

on the richter scale , which measures the total amount of energy released during an earthquake , a reading of x - 1 indicates one - tenth the released energy as is indicated by a reading of x . on that scale , the frequency corresponding to a reading of 2 is how many times as great as the frequency corresponding to a reading of 8 ?

0general

a train leaves mumabai at 9 am at a speed of 40 kmph . after one hour , another train leaves mumbai in the same direction as that of the first train at a speed of 60 kmph . when and at what distance from mumbai do the two trains meet ?

1physics

for any number z , z * is defined as the greatest positive even integer less than or equal to y . what is the value of 6.30 – 6.30 * ?

0general

the guests at a football banquet consumed a total of 406 pounds of food . if no individual guest consumed more than 2.5 pounds of food , what is the minimum number of guests that could have attended the banquet ?

0general

in a group of 600 readers who read science fiction or literacy works or both , 200 read science fiction and 230 read literacy works . how many read both science fiction and literacy works ?

5other

if x : y = 3 : 5 , find the value of ( 2 x + 4 y ) : ( 3 x – y )

0general

if daily wages of a man is double to that of a woman , how many men should work for 20 days to earn rs . 14400 ? given that wages for 40 women for 30 days are rs . 21600 .

1physics

persons a and b . person a picks a random no . from 1 to 1000 . then person b picks a random no . from 1 to 1000 . what is the probability of b getting no . greater then what a has picked .

4probability

cole drove from home to work at an average speed of 50 kmh . he then returned home at an average speed of 110 kmh . if the round trip took a total of 2 hours , how many minutes did it take cole to drive to work ?

1physics

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

5other

an equal number of desks and bookcases are to be placed along a library wall that is 15 meters long . each desk is 2 meters long , and each bookshelf is 1.5 meters long . if the maximum possible number of desks and bookcases are to be placed along the wall , then the space along the wall that is left over will be how many g meters long ?

0general

- 88 × 39 + 312 = ?

0general

what will be the cost of building a fence around a square plot with area equal to 25 sq ft , if the price per foot of building the fence is rs . 58 ?

3geometry

a train 280 m long , running with a speed of 63 km / hr will pass a tree in

1physics

a shop owner sells 15 mtr of cloth and gains sp of 10 mtrs . find the gain % ?

2gain

if f ( x ) = 12 - x ^ 2 / 2 and f ( 2 k ) = 7 k , what is one possible value for k ?

0general

there were two candidates in an election . winner candidate received 62 % of votes and won the election by 348 votes . find the number of votes casted to the winning candidate ?

2gain

what is the greatest positive integer t such that 3 ^ t is a factor of 9 ^ 10 ?

5other

in a ratio which is equal to 3 : 4 , if the antecedent is 12 , then the consequent is ?

5other

what is the rate percent when the simple interest on rs . 4000 amount to rs . 640 in 2 years ?

2gain

if 2 x + y = 7 and x + 2 y = 8 , then ( x + y ) / 3 =

0general

farm tax is levied on the 90 % of the cultivated land . the tax department collected total $ 3840 through the farm tax from the village of mr . william . mr . william 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 average salary of a person for the months of january , february , march and april is rs . 8000 and that for the months february , march , april and may is rs . 8500 . if his salary for the month of may is rs . 6500 , find his salary for the month of january ?

0general

don and his wife each receive an 8 percent annual raise . if don receives a raise rs . 800 and his wife receives a raise of rs . 840 , what is the difference between their annual income after their raises ?

2gain

if the simple interest on a sum of money for 2 years at 5 % per annum is rs . 50 , what will be the compound interest on same values

2gain

if x + y = 300 , x - y = 200 , for integers of x and y , y = ?

0general

ramu bought an old car for rs . 42000 . he spent rs . 13000 on repairs and sold it for rs . 66900 . what is his profit percent ?

2gain

a can do a work in 8 days . b can do the same work in 16 days . if both a & b are working together in how many days they will finish the work ?

1physics

tom , working alone , can paint a room in 6 hours . peter and john , working independently , can paint the same room in 3 hours and 6 hours , respectively . tom starts painting the room and works on his own for one hour . he is then joined by peter and they work together for an hour . finally , john joins them and the three of them work together to finish the room , each one working at his respective rate . what fraction of the whole job was done by peter ?

1physics

if ( 1 – 1.25 ) n = 5 , then n =

0general

if in a race of 70 m , a covers the distance in 20 seconds and b in 25 seconds , then a beats b by :

1physics

a certain social security recipient will receive an annual benefit of $ 12000 provided he has annual earnings of $ 9360 or less , but the benefit will be reduced by $ 1 for every $ 3 of annual earnings over $ 9360 . what amount of total annual earnings would result in a 65 percent reduction in the recipient ' s annual social security benefit ? ( assume social security benefits are not counted as part of annual earnings . )

0general

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 5.2 hours , then the distance covered at 40 kmph is

1physics

jane and ashley take 13 1 / 3 days and 40 days respectively to complete a project when they work on it alone . they thought if they worked on the project together , they would take fewer days to complete it . during the period that they were working together , jane took an 8 day leave from work . this led to jane ' s working for 4 extra days on her own to complete the project . how long did it take to finish the project ?

1physics

the average ( arithmetic mean ) of all scores on a certain algebra test was 90 . if the average of the 8 male students ’ grades was 82 , and the average of the female students ’ grades was 92 , how many female students took the test ?

0general

if the length of the longest chord of a certain circle is 24 , what is the radius of that certain circle ?

3geometry

a leak in the bottom of a tank can empty the full tank in 6 hours . an inlet pipe fills water at the rate of 4 liters per minute . when the tank is full in inlet is opened and due to the leak the tank is empties in 8 hours . the capacity of the tank is ?

1physics

the class mean score on a test was 60 , and the standard deviation was 10 . if jack ' s score was within 2 standard deviations of the mean , what is the lowest score he could have received ?

0general

if an object travels at eight feet per second , how many feet does it travel in one hour ?

1physics

the ratio of buses to cars on river road is 1 to 10 . if there are 90 fewer buses than cars on river road , how many cars are on river road ?

5other

a merchant marks goods up by 75 % and then offers a discount on the marked price . the profit that the merchant makes after offering the discount is 57.5 % . what % discount did the merchant offer ?

2gain

a certain roller coaster has 5 cars , and a passenger is equally likely to ride in any 1 of the 5 cars each time that passenger rides the roller coaster . if a certain passenger is to ride the roller coaster 5 times , what is the probability that the passenger will ride in each of the 5 cars ?

0general

jane and ashley take 10 days and 40 days respectively to complete a project when they work on it alone . they thought if they worked on the project together , they would take fewer days to complete it . during the period that they were working together , jane took an eight day leave from work . this led to jane ' s working for four extra days on her own to complete the project . how long did it take to finish the project ?

1physics

if john covers a certain distance in 1 hr . 24 min . by covering two third of the distance at 4 kmph and the rest at 5 kmph , then find the total distance .

1physics

if m and n are positive integers and m ^ 2 + n ^ 2 = 10 , what is the value of m ^ 3 + n ^ 3 ?

0general