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

Problem stringlengths 5 967	category class label 6 classes
what is 0.02 percent of 12,356 ?	2gain
of 45 applicants for a job , 21 had at least 4 years ' experience , 27 had degrees , and 5 had less than 4 years ' experience and did not have a degree . how many of the applicants had at least 4 years ' experience and a degree ?	0general
12,21 , 48,87 , __	0general
a man rows his boat 90 km downstream and 5 ` km upstream , taking 3 hours each time . find the speed of the stream ?	1physics
because he ’ s taxed by his home planet , mork pays a tax rate of 45 % on his income , while mindy pays a rate of only 25 % on hers . if mindy earned 4 times as much as mork did , what was their combined tax rate ?	2gain
reema took a loan of rs 1100 with simple interest for as many years as the rate of interest . if she paid rs . 704 as interest at the end of the loan period , what was the rate of interest .	2gain
how many positive integers less than 300 can be formed using the numbers 1 , 2 , 3 a for the digits ?	4probability
in a company , 52 percent of the employees are men . if 60 percent of the employees are unionized and 70 percent of these are men , what percent of the non - union employees are women ?	2gain
how long does a lorry 200 m long traveling at 80 kmph takes to cross a bridge of 200 m in length ?	1physics
pradeep has to obtain 20 % of the total marks to pass . he got 160 marks and failed by 25 marks . the maximum marks are	0general
1480 men have provisions for 14 days . if 460 more men join them , for how many days will the provisions last now ?	1physics
what is the difference between the c . i . on rs . 5000 for 1 1 / 2 years at 4 % per annum compounded yearly and half - yearly ?	0general
the sum of three consecutive even numbers multiples of 3 is 72 . what is the largest number ?	0general
a person can row at 10 kmph in still water . if the velocity of the current is 2 kmph and it takes him 30 hour to row to a place and come back , how far is the place ?	1physics
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 q in miles per hour for the entire trip ?	1physics
6 friends went to a hotel and decided to pay the bill amount equally . but 5 of them could pay rs . 100 each as a result 6 th has to pay rs . 100 extra than his share . find the amount paid by him .	0general
the h . c . f and l . c . m of two numbers are 84 and 21 respectively . if the ratio of the two numbers is 1 : 4 , then the larger of the two numbers is :	5other
15.06 * 0.00000001 = ?	0general
evaluate 28 % of 450 + 45 % of 240	2gain
a straight line in the xy - plane has y - intercept of 12 and a slope of 4 / 7 . given the x - coordinate of the point is 49 , find it ' s y - coordinate .	0general
if 50 % of 3 / 5 of a number is 36 , then the number is ?	2gain
a dog breeder currently has 9 breeding dogs . 6 of the dogs have exactly 1 littermate , and 3 of the dogs have exactly 2 littermates . if 2 dogs are selected at random , what is the probability t that both selected dogs are not littermates ?	5other
the manufacturing cost of a shoe is rs . 180 and the transportation lost is rs . 500 for 100 shoes . what will be the selling price if it is sold at 20 % gains	2gain
a shirt goes on sale for 80 % of its original price . one week later , the sale price is marked down 20 % . the final price is what percent of the original price ?	2gain
in a factory , there are 30 % technicians and 70 % non - technicians . if the 30 % of the technicians and 70 % of non - technicians are permanent employees , then the percentage of workers who are temporary is ?	2gain
to asphalt 1 km road , 30 men spent 12 days working 8 hours per day . how many days , 20 men will spend to asphalt a road of 2 km working 14 hours a day ?	1physics
if a * b = 2 a – 3 b + ab , then 3 * 5 + 5 * 3 is equal to :	0general
average temperature of first 4 days of a week is 6 ° c and that of the last 4 days is 40.3 ° c . if the average temperature of the week be 39.1 ° c , the temperature on 4 th day is ?	1physics
what annual installment will discharge a debt of rs . 4600 due in 4 years at 10 % simple interest ?	2gain
a certain car ' s price decreased by 2.5 % ( from the original price ) each year from 1996 to 2002 , during that time the owner of the car invested in a new carburetor and a new audio system for the car , which increased car ' s price by $ 3,000 . if the price of the car in 1996 was $ 22,000 , what is the car ' s price in 2002 ?	2gain
there are 18 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
how many multiples of 9 are there between 1 and 50 , exclusive ?	0general
a man invested rs . 14,400 in rs . 100 shares of a company at 20 % premium . if the company declares 7 % dividend at the end of the year , then how much does he get ?	2gain
the distance between delhi and mathura is 130 kms . a starts from delhi with a speed of 25 kmph at 7 a . m . for mathura and b starts from mathura with a speed of 30 kmph at 9 p . m . from delhi . when will they meet ?	1physics
how is 1 / 2 % expressed as a decimal fraction ?	0general
a hostel had provisions for 250 men for 28 days . if 50 men left the hostel , how long will the food last at the same rate ?	2gain
the ratio of a to b is 4 to 5 , where a and b are positive . if x equals a increased by 25 percent of a , and m equals b decreased by 20 percent of b , what is the value of m / x ?	0general
if rs . 480 amount to rs . 540 in 4 years , what will it amount to in 6 years at the same rate % per annum ?	2gain
the perimeter of a square is 48 m . find the area of the square .	3geometry
rectangular tile each of size 25 cm by 16 cm must be laid horizontally on a rectangular floor of size 180 cm by 120 cm , such that the tiles do not overlap and they are placed with edges jutting against each other on all edges . a tile can be placed in any orientation so long as its edges are parallel to the edges of floor . no tile should overshoot any edge of the floor . the maximum number of tiles that can be accommodated on the floor is :	3geometry
a house wife saved $ 2.75 in buying an item on sale . if she spent $ 20 for the item , approximately how much percent she saved in the transaction ?	0general
the ratio of buses to cars on river road is 1 to 3 . if there are 40 fewer buses than cars on river road , how many cars are on river road ?	5other
three numbers are in the ratio 4 : 5 : 6 and their average is 25 . the largest number is :	0general
in a garden , 26 trees are planted at equal distances along a yard 600 metres long , one tree being at each end of the yard . what is the distance between two consecutive trees ?	1physics
on a wedding catering service , an experienced chef can prepare a service for a wedding in 6 hours while an novice chef would finish the preparations in 7 hours . if the catering service employs the same number of novice and experienced chefs , then how many chefs would it take to prepare a wedding service in 1 hour and 36 minutes ?	1physics
there is a 20 % chance sandy will visit china this year , while there is a 60 % chance that she will visit malaysia this year . what is the probability that sandy will visit either china or malaysia this year , but not both ?	4probability
a mixture contains alcohol and water in the ratio 4 : 3 . if 5 liters of water is added to the mixture , the ratio becomes 4 : 5 . find the quality of alcohol in the given mixture .	0general
a 150 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds . what is the length of the other train ?	1physics
the average age of 7 men increases by 3 years when two women are included in place of two men of ages 18 and 22 years . find the average age of the women ?	0general
julie put half of her savings in a savings account that pays an annual simple interest and half in a savings account that pays an annual compound interest . after two years she earned $ 100 and $ 105 from the simple interest account and the compound interest account respectively . if the interest rates for both accounts were the same , what was the amount of julie ' s initial savings ?	2gain
a walks at 4 kmph and 4 hours after his start , b cycles after him at 10 kmph . how far from the start does b catch up with a ?	1physics
barbata invests $ 2400 in the national bank at 5 % . how much additional money must she invest at 10 % so that the total annual income will be equal to 6 % of her entire investment ?	0general
100 is increased by 50 % . find the final number .	2gain
two cyclist start from the same places in opposite directions . one is going towards north at 5 kmph and the other is going towards south 5 kmph . what time will they take to be 50 km apart ?	1physics
what is the average ( arithmetic mean ) of the numbers 2 , 4 , 6 , 8 , 10 , 12 , 14 and 16 ?	0general
a miniature roulette wheel is divided into 10 equal sectors , each bearing a distinct integer from 1 to 10 , inclusive . each time the wheel is spun , a ball randomly determines the winning sector by settling in that sector . if the wheel is spun two times , approximately what is the probability that the product of the two winning sectors ’ integers will be even ?	0general
when the number 2 y 31129 is exactly divisible by 11 , then what can be the smallest whole number in place of y ?	0general
a pet store holds cats and dogs . if the difference between the number of cats and the number of dogs is 17 . what could be the ratio of cats to dogs in the pet store ?	5other
in 2008 , the profits of company n were 10 percent of revenues . in 2009 , the revenues of company n fell by 20 percent , but profits were 15 percent of revenues . the profits in 2009 were what percent of the profits in 2008 ?	2gain
a hall 36 m long and 15 m broad is to be paved with stones , each measuring 3 dm by 5 dm . the number of stones required is :	1physics
the length of a rectangular plot is 20 metres more than its breadth . if the cost of fencing the plot @ rs . 26.50 per metre is rs . 6095 , what is the length of the plot in metres ?	1physics
jill has 28 gallons of water stored in quart , half - gallon , and one gallon jars . she has equal numbers of each size jar holding the liquid . what is the total number of water filled jars ?	0general
the l . c . m of two numbers is 2310 and their h . c . f is 30 . if one number is 330 the other is	1physics
a certain number when divided by 50 leaves a remainder 25 , what is the remainder if the same no . be divided by 15 ?	0general
11 friends went to a hotel and decided to pay the bill amount equally . but 10 of them could pay rs . 60 each as a result 11 th has to pay rs . 50 extra than his share . find the amount paid by him .	0general
at a certain zoo , the ratio of sea horse to penguins is 5 to 11 . if there are 85 more penguins than sea horses at the zoo , how many sea horses are there ?	5other
speed of a boat in standing water is 9 kmph and the speed of the stream is 1.5 kmph . a man rows to place at a distance of 105 km and comes back to the starting point . the total time taken by him is :	1physics
what is the remainder when 7 ^ 700 is divided by 100 ?	0general
a person bought 110 glass bowls at a rate of rs . 10 per bowl . he sold 100 of them at rs . 14 and the remaining broke . what is the percentage gain for a ?	2gain
the difference between a number and its two - fifth is 45 . what is the number ?	0general
the ratio of numbers is 3 : 4 and their h . c . f is 4 . their l . c . m is :	5other
in the first m games of a team ' s season , the ratio of the team ' s wins to its losses was 3 : 1 . in the subsequent n games , the ratio of the team ´ s wins to losses was 2 : 3 . if m : n = 4 : 5 , what was the ratio of the team ' s wins to its losses for all m + n games ?	0general
a rainstorm increased the amount of water stored in state j reservoirs from 124 billion gallons to 138 billion gallons . if the storm increased the amount of water in the reservoirs to 82 percent of total capacity , approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm ?	0general
for what value of x between − 6 and 6 , inclusive , is the value of x ^ 2 − 10 x + 16 the greatest ?	0general
a sum of money amounts to rs . 9800 after 5 years and rs . 12005 after 8 years at the same rate of simple interest . the rate of interest per annum is :	2gain
how many seconds will a train 110 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph ?	1physics
a teacher gave the same test to 3 history classes : a , b , and c . the average ( arithmetic mean ) scores for the 3 classes were 65 , 90 , and 77 , respectively . the ratio of the numbers of students in each class who took the test was 4 to 6 to 5 , respectively . what was the average score for the 3 classes combined ?	0general
a merchant purchased a jacket for $ 54 and then determined a selling price that equalled the purchase price of the jacket plus a markup that was 40 percent of the selling price . during a sale , the merchant discounted the selling price by 20 percent and sold the jacket . what was the merchant ’ s gross profit on this sale ?	2gain
a distributor sells a product through an online store , which take a commission of 20 % of the price set by the distributor . the distributor obtains the product from a producer at the price of $ 19 per item . what is the price that the buyer observers online if the distributor wants to maintain a 20 % profit on the cost of the item ?	2gain
three pipes of same capacity can fill a tank in 12 hours . if there are only two pipes of same capacity , the tank can be filled in ?	1physics
what is the least number to be subtracted from 800 to make it a perfect square ?	0general
a train crosses a platform of 110 m in 15 sec , same train crosses another platform of length 250 m in 20 sec . then find the length of the train ?	1physics
bucket p has thrice the capacity as bucket q . it takes 80 turns for bucket p to fill the empty drum . how many turns it will take for both the buckets p and q , having each turn together to fill the empty drum ?	5other
a person travels equal distances with speeds of 3 km / hr , 4 km / hr and 5 km / hr and takes a total time of 47 minutes . the total distance ( in km ) is :	1physics
weights of two friends ram and shyam are in the ratio 7 : 5 . if ram ' s weight is increased by 10 % and total weight of ram and shyam become 82.8 kg , with an increases of 15 % . by what percent did the weight of shyam has to be increased ?	2gain
in town x , 90 percent of the population are employed , and 20 percent of the population are employed males . what percent of the employed people in town x are females ?	2gain
the ages of two persons differ by 16 years . 6 years ago , the elder one was 3 times as old as the younger one . what are their present ages of the elder person ?	0general
how many positive integers less than 90 are multiples of 6 but not multiples of 9 ?	0general
two numbers are in the ratio of 6 : 8 . if 10 is subtracted from each , the new numbers are in the ratio 16 : 32 . find the smaller number .	5other
a cistern 7 m long and 5 m wide contains water up to a breadth of 1 m 40 cm . find the total area of the wet surface .	1physics
in a mixture of 45 litres the ratio of milk to water is 4 : 1 . additional 9 litres of water is added to the mixture . find the ratio of milk to water in the resulting mixture .	0general
find the area of a rhombus one side of which measures 20 cm and one diagonal is 27 cm .	3geometry
on dividing a number by 56 , we get 28 as remainder . on dividing the same number by 8 , what will be the remainder ?	0general
a man sells an article at a profit of 25 % . if he had bought it at 20 % less and sold it for rs . 10.50 less , he would have gained 30 % . find the cost of the article .	2gain
how many three - element subsets of { 5 , 6,7 , 8,9 } are there that do not contain the pair of elements 6 and 9 ?	0general
if a lends rs . 1500 to b at 10 % per annum and b lends the same sum to c at 11.5 % per annum then the gain of b in a period of 3 years is ?	2gain
a man sitting in a train which is traveling at 45 kmph observes that a goods train , traveling in opposite direction , takes 8 seconds to pass him . if the goods train is 340 m long , find its speed	1physics
if x and y are both odd prime numbers and x < y , how many distinct positive integer q factors does 2 xy have ?	5other
what is the sum of all possible solutions to \| x - 5 \| ^ 2 + \| x - 5 \| = 20 ?	0general
how many integers k greater than 100 and less than 1100 are there such that if the hundreds and the unit digits of k are reversed , the resulting integer is k + 99 ?	0general

what is 0.02 percent of 12,356 ?

2gain

of 45 applicants for a job , 21 had at least 4 years ' experience , 27 had degrees , and 5 had less than 4 years ' experience and did not have a degree . how many of the applicants had at least 4 years ' experience and a degree ?

0general

12,21 , 48,87 , __

0general

a man rows his boat 90 km downstream and 5 ` km upstream , taking 3 hours each time . find the speed of the stream ?

1physics

because he ’ s taxed by his home planet , mork pays a tax rate of 45 % on his income , while mindy pays a rate of only 25 % on hers . if mindy earned 4 times as much as mork did , what was their combined tax rate ?

2gain

reema took a loan of rs 1100 with simple interest for as many years as the rate of interest . if she paid rs . 704 as interest at the end of the loan period , what was the rate of interest .

2gain

how many positive integers less than 300 can be formed using the numbers 1 , 2 , 3 a for the digits ?

4probability

in a company , 52 percent of the employees are men . if 60 percent of the employees are unionized and 70 percent of these are men , what percent of the non - union employees are women ?

2gain

how long does a lorry 200 m long traveling at 80 kmph takes to cross a bridge of 200 m in length ?

1physics

pradeep has to obtain 20 % of the total marks to pass . he got 160 marks and failed by 25 marks . the maximum marks are

0general

1480 men have provisions for 14 days . if 460 more men join them , for how many days will the provisions last now ?

1physics

what is the difference between the c . i . on rs . 5000 for 1 1 / 2 years at 4 % per annum compounded yearly and half - yearly ?

0general

the sum of three consecutive even numbers multiples of 3 is 72 . what is the largest number ?

0general

a person can row at 10 kmph in still water . if the velocity of the current is 2 kmph and it takes him 30 hour to row to a place and come back , how far is the place ?

1physics

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 q in miles per hour for the entire trip ?

1physics

6 friends went to a hotel and decided to pay the bill amount equally . but 5 of them could pay rs . 100 each as a result 6 th has to pay rs . 100 extra than his share . find the amount paid by him .

0general

the h . c . f and l . c . m of two numbers are 84 and 21 respectively . if the ratio of the two numbers is 1 : 4 , then the larger of the two numbers is :

5other

15.06 * 0.00000001 = ?

0general

evaluate 28 % of 450 + 45 % of 240

2gain

a straight line in the xy - plane has y - intercept of 12 and a slope of 4 / 7 . given the x - coordinate of the point is 49 , find it ' s y - coordinate .

0general

if 50 % of 3 / 5 of a number is 36 , then the number is ?

2gain

a dog breeder currently has 9 breeding dogs . 6 of the dogs have exactly 1 littermate , and 3 of the dogs have exactly 2 littermates . if 2 dogs are selected at random , what is the probability t that both selected dogs are not littermates ?

5other

the manufacturing cost of a shoe is rs . 180 and the transportation lost is rs . 500 for 100 shoes . what will be the selling price if it is sold at 20 % gains

2gain

a shirt goes on sale for 80 % of its original price . one week later , the sale price is marked down 20 % . the final price is what percent of the original price ?

2gain

in a factory , there are 30 % technicians and 70 % non - technicians . if the 30 % of the technicians and 70 % of non - technicians are permanent employees , then the percentage of workers who are temporary is ?

2gain

to asphalt 1 km road , 30 men spent 12 days working 8 hours per day . how many days , 20 men will spend to asphalt a road of 2 km working 14 hours a day ?

1physics

if a * b = 2 a – 3 b + ab , then 3 * 5 + 5 * 3 is equal to :

0general

average temperature of first 4 days of a week is 6 ° c and that of the last 4 days is 40.3 ° c . if the average temperature of the week be 39.1 ° c , the temperature on 4 th day is ?

1physics

what annual installment will discharge a debt of rs . 4600 due in 4 years at 10 % simple interest ?

2gain

a certain car ' s price decreased by 2.5 % ( from the original price ) each year from 1996 to 2002 , during that time the owner of the car invested in a new carburetor and a new audio system for the car , which increased car ' s price by $ 3,000 . if the price of the car in 1996 was $ 22,000 , what is the car ' s price in 2002 ?

2gain

there are 18 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

how many multiples of 9 are there between 1 and 50 , exclusive ?

0general

a man invested rs . 14,400 in rs . 100 shares of a company at 20 % premium . if the company declares 7 % dividend at the end of the year , then how much does he get ?

2gain

the distance between delhi and mathura is 130 kms . a starts from delhi with a speed of 25 kmph at 7 a . m . for mathura and b starts from mathura with a speed of 30 kmph at 9 p . m . from delhi . when will they meet ?

1physics

how is 1 / 2 % expressed as a decimal fraction ?

0general

a hostel had provisions for 250 men for 28 days . if 50 men left the hostel , how long will the food last at the same rate ?

2gain

the ratio of a to b is 4 to 5 , where a and b are positive . if x equals a increased by 25 percent of a , and m equals b decreased by 20 percent of b , what is the value of m / x ?

0general

if rs . 480 amount to rs . 540 in 4 years , what will it amount to in 6 years at the same rate % per annum ?

2gain

the perimeter of a square is 48 m . find the area of the square .

3geometry

rectangular tile each of size 25 cm by 16 cm must be laid horizontally on a rectangular floor of size 180 cm by 120 cm , such that the tiles do not overlap and they are placed with edges jutting against each other on all edges . a tile can be placed in any orientation so long as its edges are parallel to the edges of floor . no tile should overshoot any edge of the floor . the maximum number of tiles that can be accommodated on the floor is :

3geometry

a house wife saved $ 2.75 in buying an item on sale . if she spent $ 20 for the item , approximately how much percent she saved in the transaction ?

0general

the ratio of buses to cars on river road is 1 to 3 . if there are 40 fewer buses than cars on river road , how many cars are on river road ?

5other

three numbers are in the ratio 4 : 5 : 6 and their average is 25 . the largest number is :

0general

in a garden , 26 trees are planted at equal distances along a yard 600 metres long , one tree being at each end of the yard . what is the distance between two consecutive trees ?

1physics

on a wedding catering service , an experienced chef can prepare a service for a wedding in 6 hours while an novice chef would finish the preparations in 7 hours . if the catering service employs the same number of novice and experienced chefs , then how many chefs would it take to prepare a wedding service in 1 hour and 36 minutes ?

1physics

there is a 20 % chance sandy will visit china this year , while there is a 60 % chance that she will visit malaysia this year . what is the probability that sandy will visit either china or malaysia this year , but not both ?

4probability

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

0general

a 150 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds . what is the length of the other train ?

1physics

the average age of 7 men increases by 3 years when two women are included in place of two men of ages 18 and 22 years . find the average age of the women ?

0general

julie put half of her savings in a savings account that pays an annual simple interest and half in a savings account that pays an annual compound interest . after two years she earned $ 100 and $ 105 from the simple interest account and the compound interest account respectively . if the interest rates for both accounts were the same , what was the amount of julie ' s initial savings ?

2gain

a walks at 4 kmph and 4 hours after his start , b cycles after him at 10 kmph . how far from the start does b catch up with a ?

1physics

barbata invests $ 2400 in the national bank at 5 % . how much additional money must she invest at 10 % so that the total annual income will be equal to 6 % of her entire investment ?

0general

100 is increased by 50 % . find the final number .

2gain

two cyclist start from the same places in opposite directions . one is going towards north at 5 kmph and the other is going towards south 5 kmph . what time will they take to be 50 km apart ?

1physics

what is the average ( arithmetic mean ) of the numbers 2 , 4 , 6 , 8 , 10 , 12 , 14 and 16 ?

0general

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

0general

when the number 2 y 31129 is exactly divisible by 11 , then what can be the smallest whole number in place of y ?

0general

a pet store holds cats and dogs . if the difference between the number of cats and the number of dogs is 17 . what could be the ratio of cats to dogs in the pet store ?

5other

in 2008 , the profits of company n were 10 percent of revenues . in 2009 , the revenues of company n fell by 20 percent , but profits were 15 percent of revenues . the profits in 2009 were what percent of the profits in 2008 ?

2gain

a hall 36 m long and 15 m broad is to be paved with stones , each measuring 3 dm by 5 dm . the number of stones required is :

1physics

the length of a rectangular plot is 20 metres more than its breadth . if the cost of fencing the plot @ rs . 26.50 per metre is rs . 6095 , what is the length of the plot in metres ?

1physics

jill has 28 gallons of water stored in quart , half - gallon , and one gallon jars . she has equal numbers of each size jar holding the liquid . what is the total number of water filled jars ?

0general

the l . c . m of two numbers is 2310 and their h . c . f is 30 . if one number is 330 the other is

1physics

a certain number when divided by 50 leaves a remainder 25 , what is the remainder if the same no . be divided by 15 ?

0general

11 friends went to a hotel and decided to pay the bill amount equally . but 10 of them could pay rs . 60 each as a result 11 th has to pay rs . 50 extra than his share . find the amount paid by him .

0general

at a certain zoo , the ratio of sea horse to penguins is 5 to 11 . if there are 85 more penguins than sea horses at the zoo , how many sea horses are there ?

5other

speed of a boat in standing water is 9 kmph and the speed of the stream is 1.5 kmph . a man rows to place at a distance of 105 km and comes back to the starting point . the total time taken by him is :

1physics

what is the remainder when 7 ^ 700 is divided by 100 ?

0general

a person bought 110 glass bowls at a rate of rs . 10 per bowl . he sold 100 of them at rs . 14 and the remaining broke . what is the percentage gain for a ?

2gain

the difference between a number and its two - fifth is 45 . what is the number ?

0general

the ratio of numbers is 3 : 4 and their h . c . f is 4 . their l . c . m is :

5other

in the first m games of a team ' s season , the ratio of the team ' s wins to its losses was 3 : 1 . in the subsequent n games , the ratio of the team ´ s wins to losses was 2 : 3 . if m : n = 4 : 5 , what was the ratio of the team ' s wins to its losses for all m + n games ?

0general

a rainstorm increased the amount of water stored in state j reservoirs from 124 billion gallons to 138 billion gallons . if the storm increased the amount of water in the reservoirs to 82 percent of total capacity , approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm ?

0general

for what value of x between − 6 and 6 , inclusive , is the value of x ^ 2 − 10 x + 16 the greatest ?

0general

a sum of money amounts to rs . 9800 after 5 years and rs . 12005 after 8 years at the same rate of simple interest . the rate of interest per annum is :

2gain

how many seconds will a train 110 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph ?

1physics

a teacher gave the same test to 3 history classes : a , b , and c . the average ( arithmetic mean ) scores for the 3 classes were 65 , 90 , and 77 , respectively . the ratio of the numbers of students in each class who took the test was 4 to 6 to 5 , respectively . what was the average score for the 3 classes combined ?

0general

a merchant purchased a jacket for $ 54 and then determined a selling price that equalled the purchase price of the jacket plus a markup that was 40 percent of the selling price . during a sale , the merchant discounted the selling price by 20 percent and sold the jacket . what was the merchant ’ s gross profit on this sale ?

2gain

a distributor sells a product through an online store , which take a commission of 20 % of the price set by the distributor . the distributor obtains the product from a producer at the price of $ 19 per item . what is the price that the buyer observers online if the distributor wants to maintain a 20 % profit on the cost of the item ?

2gain

three pipes of same capacity can fill a tank in 12 hours . if there are only two pipes of same capacity , the tank can be filled in ?

1physics

what is the least number to be subtracted from 800 to make it a perfect square ?

0general

a train crosses a platform of 110 m in 15 sec , same train crosses another platform of length 250 m in 20 sec . then find the length of the train ?

1physics

bucket p has thrice the capacity as bucket q . it takes 80 turns for bucket p to fill the empty drum . how many turns it will take for both the buckets p and q , having each turn together to fill the empty drum ?

5other

a person travels equal distances with speeds of 3 km / hr , 4 km / hr and 5 km / hr and takes a total time of 47 minutes . the total distance ( in km ) is :

1physics

weights of two friends ram and shyam are in the ratio 7 : 5 . if ram ' s weight is increased by 10 % and total weight of ram and shyam become 82.8 kg , with an increases of 15 % . by what percent did the weight of shyam has to be increased ?

2gain

in town x , 90 percent of the population are employed , and 20 percent of the population are employed males . what percent of the employed people in town x are females ?

2gain

the ages of two persons differ by 16 years . 6 years ago , the elder one was 3 times as old as the younger one . what are their present ages of the elder person ?

0general

how many positive integers less than 90 are multiples of 6 but not multiples of 9 ?

0general

two numbers are in the ratio of 6 : 8 . if 10 is subtracted from each , the new numbers are in the ratio 16 : 32 . find the smaller number .

5other

a cistern 7 m long and 5 m wide contains water up to a breadth of 1 m 40 cm . find the total area of the wet surface .

1physics

in a mixture of 45 litres the ratio of milk to water is 4 : 1 . additional 9 litres of water is added to the mixture . find the ratio of milk to water in the resulting mixture .

0general

find the area of a rhombus one side of which measures 20 cm and one diagonal is 27 cm .

3geometry

on dividing a number by 56 , we get 28 as remainder . on dividing the same number by 8 , what will be the remainder ?

0general

a man sells an article at a profit of 25 % . if he had bought it at 20 % less and sold it for rs . 10.50 less , he would have gained 30 % . find the cost of the article .

2gain

how many three - element subsets of { 5 , 6,7 , 8,9 } are there that do not contain the pair of elements 6 and 9 ?

0general

if a lends rs . 1500 to b at 10 % per annum and b lends the same sum to c at 11.5 % per annum then the gain of b in a period of 3 years is ?

2gain

a man sitting in a train which is traveling at 45 kmph observes that a goods train , traveling in opposite direction , takes 8 seconds to pass him . if the goods train is 340 m long , find its speed

1physics

if x and y are both odd prime numbers and x < y , how many distinct positive integer q factors does 2 xy have ?

5other

what is the sum of all possible solutions to | x - 5 | ^ 2 + | x - 5 | = 20 ?

0general

how many integers k greater than 100 and less than 1100 are there such that if the hundreds and the unit digits of k are reversed , the resulting integer is k + 99 ?

0general