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

Problem stringlengths 5 967	category class label 6 classes
a box measuring 35 inches long by 20 inches wide by 10 inches deep is to be filled entirely with identical cubes . no space is to be left unfilled . what is the smallest number of cubes that can accomplish this objective ?	3geometry
how many prime numbers between 1 and 100 are factors of 1771 ?	5other
what is the sum of all possible solutions to \| x - 4 \| ^ 2 + \| x - 4 \| = 20 ?	0general
if p represents the product of the first 14 positive integers , then p is not a multiple of :	0general
the average weight of 10 girls increases by 5 kg when a new girl comes in place of one of them weighing 50 kg . what might be the weight of the new girl ?	0general
on dividing 144 by a number , the quotient is 13 and the remainder is 1 . find the divisor .	0general
a shop produces sarongs . the daily average production is given by 5 n + 20 , where n is the number of workers aside from the owner . in the first k days , 500 units are produced , and then 5 workers are added to the team . after another k days , the cumulative total is 1100 . how many workers were part of the latter production run ?	0general
find the area of a parallelogram with base 24 cm and height 16 cm ?	3geometry
the principal that amounts to rs . 4893 in 3 years at 6 1 / 4 % per annum c . i . compounded annually , is ?	2gain
what is the remainder when 46 * 49 is divided by 8 ?	0general
an old man distributed all the gold coins he had to his two sons into two different numbers such that the difference between the squares of the two numbers is 25 times the difference between the two numbers . how many coins did the old man have ?	0general
in traveling from a dormitory to a certain city , a student went 1 / 5 of the way by foot , 2 / 3 of the way by bus , and the remaining 15 kilometers by car . what is the distance , in kilometers , from the dormitory to the city ?	1physics
if 18 ! / 3 ^ x is an integer , what is the greatest possible value of x ?	0general
the ratio of 2 numbers is 3 : 7 and their h . c . f . is 10 . their l . c . m . is ?	5other
two trains are moving in opposite directions @ 100 kmph and 120 kmph . their length are 500 m and 700 m . the time taken by the slower train to cross faster train in second is ?	1physics
if two positive numbers are in the ratio 1 / 8 : 1 / 5 , then by what percent is the second number more than the first ?	0general
if the price of a certain bond on may 1 st was 1 / 4 the price of the bond on june 1 st and the price of the bond on july 1 st was 25 % greater than the price of the bond on may 1 st . then the price of the bond on june 1 st st was what percent of the average ( arithmetic mean ) price of the bond on may 1 st and july 1 st ?	0general
what is the remainder when 1003 * 1005 * 1007 is divided by 15	0general
how many seconds will a 250 m long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr ?	1physics
the last two - digits in the multiplication 122 × 123 × 125 × 127 × 129 will be	0general
riya and priya set on a journey . riya moves eastward at a speed of 20 kmph and priya moves westward at a speed of 30 kmph . how far will be priya from riya after 30 minutes	1physics
a 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 10 sec . what is the length of the platform ?	1physics
how many digits are in the number 50 ^ 8 × 8 ^ 3 × 11 ^ 2 x 10 ^ 2 ?	0general
two alloys a and b are composed of two basic elements . the ratios of the compositions of the two basic elements in the two alloys are 5 : 3 and 1 : 2 , respectively . a new alloy x is formed by mixing the two alloys a and b in the ratio 4 : 3 . what is the ratio of the composition of the two basic elements in alloy x ?	5other
running at the same constant rate , 15 identical machines can produce a total of 45 bags per minute . at this rate , how many bags could 150 such machines produce in 8 minutes ?	2gain
what is the remainder when 1031 * 1047 * 1050 * 1053 is divided by 33 ?	0general
a train 700 m long can cross an electric pole in 40 sec and then find the speed of the train ?	1physics
a is twice as good a work man as b and together they finish the work in 12 days . in how many days a alone can finish the work ?	1physics
a certain music store stocks 800 cellos and 600 violas . of these instruments , there are 100 cello - viola pairs , such that a cello and a viola were both made with wood from the same tree ( each tree can make at most one viola and one cello , so there are no pairs other than these 90 ) . if one viola and one cello are chosen at random , what is the probability that the two instruments are made with wood from the same tree ?	5other
total 85 matches are conducted in knockout match type . how many players will be participated in that tournament ?	0general
if log 27 = 1.431 , then the value of log 9 is : 0.934 b . 0.945 c . 0.954 d . 0.958	5other
a sum fetched a total simple interest of rs . 4016.25 at the rate of 8 % p . a . in 5 years . what is the sum ?	2gain
the population of a bacteria culture doubles every 5 minutes . approximately how many minutes will it take for the population to grow from 1,000 to 500,000 bacteria	0general
a woman complete a journey in 25 hours . she travels first half of the journey at the rate of 21 km / hr and second half at the rate of 24 km / hr . find the total journey in km .	1physics
set j consists of 10 consecutive even numbers . if the smallest term in the set is - 4 , what is the range of the positive integers in set j ?	0general
a man two flats for $ 675958 each . on one he gains 12 % while on the other he loses 12 % . how much does he gain or lose in the whole transaction ?	2gain
in a certain company , a third of the workers do not have a retirement plan . 10 % of the workers who do not have a retirement plan are women , and 40 % of the workers who do have a retirement plan are men . if 120 of the workers of that company are men , how many of the workers are women ?	2gain
the distance from city a to city b is 120 miles . while driving from city a to city b , cara drives at a constant speed of 30 miles per hour . dan leaves city a 60 minutes after cara . what is the minimum constant speed in miles per hour that dan must exceed in order to arrive in city b before cara ?	1physics
jack and christina are standing 150 feet apart on a level surface . their dog , lindy , is standing next to christina . at the same time , they all begin moving toward each other . jack walks in a straight line toward christina at a constant speed of 7 feet per second and christina walks in a straight line toward jack at a constant speed of 8 feet per second . lindy runs at a constant speed of 10 feet per second from christina to jack , back to christina , back to jack , and so forth . what is the total distance , in feet , that lindy has traveled when the three meet at one place ?	1physics
how many different positive integers exist between 10 ^ 4 and 10 ^ 5 , the sum of whose digits is equal to 2 ?	0general
a man by motorcycle goes from delhi to bharatpur , a distance of 192 km , at an average speed of 32 kmph . another man starts from delhi by car 2.5 h after the motorcyclist starts and reaches bharatpur half an hour late . what is the ratio of person on the motorcycle to the person going by car ?	1physics
if p / q = 4 / 5 , then the value of 18 / 7 + { ( 2 q - p ) / ( 2 q + p ) } is ?	0general
a scuba diver descends at a rate of 30 feet per minute . a diver dive from a ship to search for a lost ship at the depth of 2400 feet below the sea level . . how long will he take to reach the ship ?	2gain
how many zeroes are there at the end of the number n , if n = 150 ! + 300 ! ?	0general
how many prime numbers are between 26 / 3 and 85 / 6 ?	0general
average of 10 matches is 32 , how many runs one should should score to increase his average by 5 runs .	0general
if there are 4 peanuts in a box and mary puts 2 more peanuts inside , how many peanuts are in the box ?	0general
speed of a boat in standing water is 16 kmph and the speed of the stream is 2 kmph . a man rows to a place at a distance of 6840 km and comes back to the starting point . the total time taken by him is :	1physics
in august , a cricket team that played 120 matches won 22 % of the games it played . after a continuous winning streak , this team raised its average to 52 % . how many matches did the team win to attain this average ?	0general
jane started baby - sitting when she was 16 years old . whenever she baby - sat for a child , that child was no more than half her age at the time . jane is currently 32 years old , and she stopped baby - sitting 10 years ago . what is the current age of the oldest person for whom jane could have baby - sat ?	0general
a cylindrical container of radius 6 cm and height 15 cm is filled with ice - cream . the whole icecream has to be distributed to 10 children in equal cones with hemispherical tops . if the height of the conical portion is four times the radius of its base , find the radius of the ice - cream cone .	3geometry
if 1 = 3 2 = 6 3 = 9 4 = 12 5 = 15 then 9 = ? hint : its a logic riddle not a mathematical riddle	5other
find the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 25 cm ?	1physics
in a forest 170 deer were caught , tagged with electronic markers , then released . a week later , 50 deer were captured in the same forest . of these 50 deer , it was found that 5 had been tagged with the electronic markers . if the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest , and if no deer had either left or entered the forest over the preceding week , what is the approximate number of deer in the forest ?	0general
in an examination , a student scores 5 marks for every correct answer and loses 2 marks for every wrong answer . if he attempts all 100 questions and secures 290 marks , the number of questions he attempts correctly , is :	1physics
there are 3 boats b 1 , b 2 and b 3 working together they carry 60 people in each trip . one day an early morning b 1 carried 50 people in few trips alone . when it stopped carrying the passengers b 2 and b 3 started carrying the people together . it took a total of 10 trips to carry 300 people by b 1 , b 2 and b 3 . it is known that each day on an average 300 people cross the river using only one of the 3 boats b 1 , b 2 and b 3 . how many trips it would take to b 1 , to carry 150 passengers alone ?	0general
the average age of 12 men is increased by years when two of them whose ages are 21 years and 23 years are replaced by two new men . the average age of the two new men is	0general
a boat can travel with a speed of 24 km / hr in still water . if the speed of the stream is 4 km / hr , find the time taken by the boat to go 112 km downstream	1physics
find the l . c . m . of 72 , 108 and 2100 .	1physics
the average of 10 numbers is calculated as 16 . it is discovered later on that while calculating the average , the number 55 was incorrectly read as 25 , and this incorrect number was used in the calculation . what is the correct average ?	0general
the average of 1 st 3 of 4 numbers is 16 and of the last 3 are 15 . if the sum of the first and the last number is 21 . what is the last numbers ?	0general
how many inches are in 2000 millimeters ? ( round your answer to the nearest hundredth of of an inch ) .	1physics
the average of 6 no . ' s is 6.40 . the average of 2 of them is 6.2 , while the average of the other 2 is 6.1 . what is the average of the remaining 2 no ' s ?	0general
the current in a river is 6 mph . a boat can travel 20 mph in still water . how far up the river can the boat travel if the round trip is to take 10 hours ?	1physics
a school has 6 maths 5 physics and 5 chemistry teachers each teacher can teach 4 subjects max what is he minimum number of teachers required	0general
if a monkey can climb 6 meter & slip down 3 meter in alternate minutes , than how much time can be taken by the monkey to climb up to a height of 60 meter .	1physics
on a map , 1.5 inches represent 24 miles . how many miles approximately is the distance if you measured 46 centimeters assuming that 1 - inch is 2.54 centimeters ?	1physics
the cash realised on selling a 14 % stock is rs . 104.25 , brokerage being 1 / 4 % is ?	0general
how many numbers up to 200 are divisible by 2 and 3 both ?	5other
a dog has 15 bones , then he finds 8 more bones . now how many bones does he have .	0general
last year manfred received 26 paychecks . each of his first 6 paychecks was $ 750 ; each of his remaining paychecks was $ 20 more than each of his first 6 paychecks . to the nearest dollar , what was the average ( arithmetic mean ) amount of his pay checks for the year ?	0general
what is the rate percent when the simple interest on rs . 800 amount to rs . 200 in 4 years ?	2gain
the sides of a cube are in the ratio 1 : 2 the ratio of their volume is ?	3geometry
a can do a piece of work in 12 days . he worked for 15 days and then b completed the remaining work in 10 days . both of them together will finish it in .	1physics
a train running at the speed of 6 km / hr crosses a pole in 2 seconds . find the length of the train ?	1physics
the denominator of a fraction is 5 greater than the numerator . if the numerator and the denominator are increased by 1 , the resulting fraction is equal to 7 â „ 12 . what is the value of the original fraction ?	0general
if the sum of two positive integers is 22 and the difference of their squares is 44 , what is the product of the two integers ?	0general
suppose you work for a manufacturing plant that pays you $ 12.50 an hour plus $ 0.16 for each widget you make . how many widgets must you produce in a 40 hour week to earn $ 660 ( before payroll deductions ) ?	1physics
in a stream running at 3 kmph , a motor boat goes 10 km upstream and back again to the starting point in 57 minutes . find the speed of motor boat in still water ?	1physics
in a can , there is a mixture of milk and water in the ratio 4 : 5 . if it is filled with an additional 4 litres of milk the can would be full and ratio of milk and water would become 6 : 5 . find the capacity of the can ?	0general
people were sitting in a circle . 7 th one is direct opposite to 18 th one . . then how many were there in that group ?	3geometry
a no . when divided by 221 gives a remainder 43 , what remainder will be obtainedby dividingthe same no . 17 ?	0general
a certain cube floating in a bucket of water has between 80 and 90 percent of its volume below the surface of the water . if between 6 and 13 cubic centimeters of the cube ' s volume is above the surface of the water , then the length of a side of the cube is approximately	3geometry
there are 25 balls which are red , blue or green . if 8 balls are blue and the sum of green balls and blue balls is less than 17 , at most how many green balls are there ?	0general
a waitress ' s income consists of her salary and tips . during one week , her tips were 11 / 4 of her salary . what fraction of her income for the week came from tips ?	0general
on a certain farm the ratio of horses to cows is 5 : 1 . if the farm were to sell 15 horses and buy 15 cows , the ratio of horses to cows would then be 17 : 7 . after the transaction , how many more horses than cows would the farm own ?	5other
in an examination , a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer . if he attempts all 50 questions and secures 130 marks , the no of questions he attempts correctly is :	1physics
the banker ' s gain on a sum due 6 years hence at 12 % per annum is rs . 684 . what is the banker ' s discount ?	2gain
a sum of money at simple interest amounts to $ 780 in 3 years and to $ 930 in 4 years . the sum is :	2gain
what is 15 percent of 44 ?	2gain
the price of commodity x increases by 45 cents every year , while the price of commodity y increases by 20 cents every year . in 2001 , the price of commodity x was $ 5.20 and the price of commodity y was $ 7.30 . in which year will the price of commodity x be 90 cents more than the price of commodity y ?	0general
1 , 1 , 3 , 9 , 5 , 25 , 7 , 49 _ , 81	0general
a shopkeeper cheats both his supplier and customer by using faulty weights . when he buys from the supplier , he takes 20 % more than the indicated weight . when he sells to his customer , he gives the customer a weight such that 10 % of that is added to the weight , the weight claimed by the trader is obtained . if he charges the cost price of the weight that he claims , find his profit percentage .	2gain
of 3 numbers , the third is 4 times the second and the second is two times the first . if their average is 165 , the smallest of the 3 numbers is :	0general
two mixers and one t . v . cost rs . 7000 , while two t . v . s and a mixer cost rs , 9800 . the value of one t . v . is :	0general
a train travels at the rate of 10 miles / hr for the first hour of a trip , at 20 miles / hr for the second hour , at 30 miles / hr for the third hour and so on . how many hours will it take the train to complete a 550 - mile journey ? assume that the train makes no intermediate stops .	1physics
ifaequals the sum of the even integers from 2 to 20 , inclusive , andbequals the sum of the odd integers from 1 to 19 , inclusive , what is the value of ( a - b ) / 2 ?	0general
in a certain diving competition , 5 judges score each dive on a scale from 1 to 10 . the point value of the dive is obtained by dropping the highest score and the lowest score and multiplying the sum of the remaining scores by the degree of difficulty . if a dive with a degree of difficulty of 3.2 received scores of 7.5 , 7.8 , 9.0 , 6.0 , and 8.5 , what was the point value of the dive ?	0general
the workforce of company x is 60 % female . the company hired 28 additional male workers , and as a result , the percent of female workers dropped to 55 % . how many employees did the company have after hiring the additional male workers ?	2gain
the average of first 25 prime numbers is ?	0general

a box measuring 35 inches long by 20 inches wide by 10 inches deep is to be filled entirely with identical cubes . no space is to be left unfilled . what is the smallest number of cubes that can accomplish this objective ?

3geometry

how many prime numbers between 1 and 100 are factors of 1771 ?

5other

what is the sum of all possible solutions to | x - 4 | ^ 2 + | x - 4 | = 20 ?

0general

if p represents the product of the first 14 positive integers , then p is not a multiple of :

0general

the average weight of 10 girls increases by 5 kg when a new girl comes in place of one of them weighing 50 kg . what might be the weight of the new girl ?

0general

on dividing 144 by a number , the quotient is 13 and the remainder is 1 . find the divisor .

0general

a shop produces sarongs . the daily average production is given by 5 n + 20 , where n is the number of workers aside from the owner . in the first k days , 500 units are produced , and then 5 workers are added to the team . after another k days , the cumulative total is 1100 . how many workers were part of the latter production run ?

0general

find the area of a parallelogram with base 24 cm and height 16 cm ?

3geometry

the principal that amounts to rs . 4893 in 3 years at 6 1 / 4 % per annum c . i . compounded annually , is ?

2gain

what is the remainder when 46 * 49 is divided by 8 ?

0general

an old man distributed all the gold coins he had to his two sons into two different numbers such that the difference between the squares of the two numbers is 25 times the difference between the two numbers . how many coins did the old man have ?

0general

in traveling from a dormitory to a certain city , a student went 1 / 5 of the way by foot , 2 / 3 of the way by bus , and the remaining 15 kilometers by car . what is the distance , in kilometers , from the dormitory to the city ?

1physics

if 18 ! / 3 ^ x is an integer , what is the greatest possible value of x ?

0general

the ratio of 2 numbers is 3 : 7 and their h . c . f . is 10 . their l . c . m . is ?

5other

two trains are moving in opposite directions @ 100 kmph and 120 kmph . their length are 500 m and 700 m . the time taken by the slower train to cross faster train in second is ?

1physics

if two positive numbers are in the ratio 1 / 8 : 1 / 5 , then by what percent is the second number more than the first ?

0general

if the price of a certain bond on may 1 st was 1 / 4 the price of the bond on june 1 st and the price of the bond on july 1 st was 25 % greater than the price of the bond on may 1 st . then the price of the bond on june 1 st st was what percent of the average ( arithmetic mean ) price of the bond on may 1 st and july 1 st ?

0general

what is the remainder when 1003 * 1005 * 1007 is divided by 15

0general

how many seconds will a 250 m long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr ?

1physics

the last two - digits in the multiplication 122 × 123 × 125 × 127 × 129 will be

0general

riya and priya set on a journey . riya moves eastward at a speed of 20 kmph and priya moves westward at a speed of 30 kmph . how far will be priya from riya after 30 minutes

1physics

a 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 10 sec . what is the length of the platform ?

1physics

how many digits are in the number 50 ^ 8 × 8 ^ 3 × 11 ^ 2 x 10 ^ 2 ?

0general

two alloys a and b are composed of two basic elements . the ratios of the compositions of the two basic elements in the two alloys are 5 : 3 and 1 : 2 , respectively . a new alloy x is formed by mixing the two alloys a and b in the ratio 4 : 3 . what is the ratio of the composition of the two basic elements in alloy x ?

5other

running at the same constant rate , 15 identical machines can produce a total of 45 bags per minute . at this rate , how many bags could 150 such machines produce in 8 minutes ?

2gain

what is the remainder when 1031 * 1047 * 1050 * 1053 is divided by 33 ?

0general

a train 700 m long can cross an electric pole in 40 sec and then find the speed of the train ?

1physics

a is twice as good a work man as b and together they finish the work in 12 days . in how many days a alone can finish the work ?

1physics

a certain music store stocks 800 cellos and 600 violas . of these instruments , there are 100 cello - viola pairs , such that a cello and a viola were both made with wood from the same tree ( each tree can make at most one viola and one cello , so there are no pairs other than these 90 ) . if one viola and one cello are chosen at random , what is the probability that the two instruments are made with wood from the same tree ?

5other

total 85 matches are conducted in knockout match type . how many players will be participated in that tournament ?

0general

if log 27 = 1.431 , then the value of log 9 is : 0.934 b . 0.945 c . 0.954 d . 0.958

5other

a sum fetched a total simple interest of rs . 4016.25 at the rate of 8 % p . a . in 5 years . what is the sum ?

2gain

the population of a bacteria culture doubles every 5 minutes . approximately how many minutes will it take for the population to grow from 1,000 to 500,000 bacteria

0general

a woman complete a journey in 25 hours . she travels first half of the journey at the rate of 21 km / hr and second half at the rate of 24 km / hr . find the total journey in km .

1physics

set j consists of 10 consecutive even numbers . if the smallest term in the set is - 4 , what is the range of the positive integers in set j ?

0general

a man two flats for $ 675958 each . on one he gains 12 % while on the other he loses 12 % . how much does he gain or lose in the whole transaction ?

2gain

in a certain company , a third of the workers do not have a retirement plan . 10 % of the workers who do not have a retirement plan are women , and 40 % of the workers who do have a retirement plan are men . if 120 of the workers of that company are men , how many of the workers are women ?

2gain

the distance from city a to city b is 120 miles . while driving from city a to city b , cara drives at a constant speed of 30 miles per hour . dan leaves city a 60 minutes after cara . what is the minimum constant speed in miles per hour that dan must exceed in order to arrive in city b before cara ?

1physics

jack and christina are standing 150 feet apart on a level surface . their dog , lindy , is standing next to christina . at the same time , they all begin moving toward each other . jack walks in a straight line toward christina at a constant speed of 7 feet per second and christina walks in a straight line toward jack at a constant speed of 8 feet per second . lindy runs at a constant speed of 10 feet per second from christina to jack , back to christina , back to jack , and so forth . what is the total distance , in feet , that lindy has traveled when the three meet at one place ?

1physics

how many different positive integers exist between 10 ^ 4 and 10 ^ 5 , the sum of whose digits is equal to 2 ?

0general

a man by motorcycle goes from delhi to bharatpur , a distance of 192 km , at an average speed of 32 kmph . another man starts from delhi by car 2.5 h after the motorcyclist starts and reaches bharatpur half an hour late . what is the ratio of person on the motorcycle to the person going by car ?

1physics

if p / q = 4 / 5 , then the value of 18 / 7 + { ( 2 q - p ) / ( 2 q + p ) } is ?

0general

a scuba diver descends at a rate of 30 feet per minute . a diver dive from a ship to search for a lost ship at the depth of 2400 feet below the sea level . . how long will he take to reach the ship ?

2gain

how many zeroes are there at the end of the number n , if n = 150 ! + 300 ! ?

0general

how many prime numbers are between 26 / 3 and 85 / 6 ?

0general

average of 10 matches is 32 , how many runs one should should score to increase his average by 5 runs .

0general

if there are 4 peanuts in a box and mary puts 2 more peanuts inside , how many peanuts are in the box ?

0general

speed of a boat in standing water is 16 kmph and the speed of the stream is 2 kmph . a man rows to a place at a distance of 6840 km and comes back to the starting point . the total time taken by him is :

1physics

in august , a cricket team that played 120 matches won 22 % of the games it played . after a continuous winning streak , this team raised its average to 52 % . how many matches did the team win to attain this average ?

0general

jane started baby - sitting when she was 16 years old . whenever she baby - sat for a child , that child was no more than half her age at the time . jane is currently 32 years old , and she stopped baby - sitting 10 years ago . what is the current age of the oldest person for whom jane could have baby - sat ?

0general

a cylindrical container of radius 6 cm and height 15 cm is filled with ice - cream . the whole icecream has to be distributed to 10 children in equal cones with hemispherical tops . if the height of the conical portion is four times the radius of its base , find the radius of the ice - cream cone .

3geometry

if 1 = 3 2 = 6 3 = 9 4 = 12 5 = 15 then 9 = ? hint : its a logic riddle not a mathematical riddle

5other

find the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 25 cm ?

1physics

in a forest 170 deer were caught , tagged with electronic markers , then released . a week later , 50 deer were captured in the same forest . of these 50 deer , it was found that 5 had been tagged with the electronic markers . if the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest , and if no deer had either left or entered the forest over the preceding week , what is the approximate number of deer in the forest ?

0general

in an examination , a student scores 5 marks for every correct answer and loses 2 marks for every wrong answer . if he attempts all 100 questions and secures 290 marks , the number of questions he attempts correctly , is :

1physics

there are 3 boats b 1 , b 2 and b 3 working together they carry 60 people in each trip . one day an early morning b 1 carried 50 people in few trips alone . when it stopped carrying the passengers b 2 and b 3 started carrying the people together . it took a total of 10 trips to carry 300 people by b 1 , b 2 and b 3 . it is known that each day on an average 300 people cross the river using only one of the 3 boats b 1 , b 2 and b 3 . how many trips it would take to b 1 , to carry 150 passengers alone ?

0general

the average age of 12 men is increased by years when two of them whose ages are 21 years and 23 years are replaced by two new men . the average age of the two new men is

0general

a boat can travel with a speed of 24 km / hr in still water . if the speed of the stream is 4 km / hr , find the time taken by the boat to go 112 km downstream

1physics

find the l . c . m . of 72 , 108 and 2100 .

1physics

the average of 10 numbers is calculated as 16 . it is discovered later on that while calculating the average , the number 55 was incorrectly read as 25 , and this incorrect number was used in the calculation . what is the correct average ?

0general

the average of 1 st 3 of 4 numbers is 16 and of the last 3 are 15 . if the sum of the first and the last number is 21 . what is the last numbers ?

0general

how many inches are in 2000 millimeters ? ( round your answer to the nearest hundredth of of an inch ) .

1physics

the average of 6 no . ' s is 6.40 . the average of 2 of them is 6.2 , while the average of the other 2 is 6.1 . what is the average of the remaining 2 no ' s ?

0general

the current in a river is 6 mph . a boat can travel 20 mph in still water . how far up the river can the boat travel if the round trip is to take 10 hours ?

1physics

a school has 6 maths 5 physics and 5 chemistry teachers each teacher can teach 4 subjects max what is he minimum number of teachers required

0general

if a monkey can climb 6 meter & slip down 3 meter in alternate minutes , than how much time can be taken by the monkey to climb up to a height of 60 meter .

1physics

on a map , 1.5 inches represent 24 miles . how many miles approximately is the distance if you measured 46 centimeters assuming that 1 - inch is 2.54 centimeters ?

1physics

the cash realised on selling a 14 % stock is rs . 104.25 , brokerage being 1 / 4 % is ?

0general

how many numbers up to 200 are divisible by 2 and 3 both ?

5other

a dog has 15 bones , then he finds 8 more bones . now how many bones does he have .

0general

last year manfred received 26 paychecks . each of his first 6 paychecks was $ 750 ; each of his remaining paychecks was $ 20 more than each of his first 6 paychecks . to the nearest dollar , what was the average ( arithmetic mean ) amount of his pay checks for the year ?

0general

what is the rate percent when the simple interest on rs . 800 amount to rs . 200 in 4 years ?

2gain

the sides of a cube are in the ratio 1 : 2 the ratio of their volume is ?

3geometry

a can do a piece of work in 12 days . he worked for 15 days and then b completed the remaining work in 10 days . both of them together will finish it in .

1physics

a train running at the speed of 6 km / hr crosses a pole in 2 seconds . find the length of the train ?

1physics

the denominator of a fraction is 5 greater than the numerator . if the numerator and the denominator are increased by 1 , the resulting fraction is equal to 7 â „ 12 . what is the value of the original fraction ?

0general

if the sum of two positive integers is 22 and the difference of their squares is 44 , what is the product of the two integers ?

0general

suppose you work for a manufacturing plant that pays you $ 12.50 an hour plus $ 0.16 for each widget you make . how many widgets must you produce in a 40 hour week to earn $ 660 ( before payroll deductions ) ?

1physics

in a stream running at 3 kmph , a motor boat goes 10 km upstream and back again to the starting point in 57 minutes . find the speed of motor boat in still water ?

1physics

in a can , there is a mixture of milk and water in the ratio 4 : 5 . if it is filled with an additional 4 litres of milk the can would be full and ratio of milk and water would become 6 : 5 . find the capacity of the can ?

0general

people were sitting in a circle . 7 th one is direct opposite to 18 th one . . then how many were there in that group ?

3geometry

a no . when divided by 221 gives a remainder 43 , what remainder will be obtainedby dividingthe same no . 17 ?

0general

a certain cube floating in a bucket of water has between 80 and 90 percent of its volume below the surface of the water . if between 6 and 13 cubic centimeters of the cube ' s volume is above the surface of the water , then the length of a side of the cube is approximately

3geometry

there are 25 balls which are red , blue or green . if 8 balls are blue and the sum of green balls and blue balls is less than 17 , at most how many green balls are there ?

0general

a waitress ' s income consists of her salary and tips . during one week , her tips were 11 / 4 of her salary . what fraction of her income for the week came from tips ?

0general

on a certain farm the ratio of horses to cows is 5 : 1 . if the farm were to sell 15 horses and buy 15 cows , the ratio of horses to cows would then be 17 : 7 . after the transaction , how many more horses than cows would the farm own ?

5other

in an examination , a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer . if he attempts all 50 questions and secures 130 marks , the no of questions he attempts correctly is :

1physics

the banker ' s gain on a sum due 6 years hence at 12 % per annum is rs . 684 . what is the banker ' s discount ?

2gain

a sum of money at simple interest amounts to $ 780 in 3 years and to $ 930 in 4 years . the sum is :

2gain

what is 15 percent of 44 ?

2gain

the price of commodity x increases by 45 cents every year , while the price of commodity y increases by 20 cents every year . in 2001 , the price of commodity x was $ 5.20 and the price of commodity y was $ 7.30 . in which year will the price of commodity x be 90 cents more than the price of commodity y ?

0general

1 , 1 , 3 , 9 , 5 , 25 , 7 , 49 _ , 81

0general

a shopkeeper cheats both his supplier and customer by using faulty weights . when he buys from the supplier , he takes 20 % more than the indicated weight . when he sells to his customer , he gives the customer a weight such that 10 % of that is added to the weight , the weight claimed by the trader is obtained . if he charges the cost price of the weight that he claims , find his profit percentage .

2gain

of 3 numbers , the third is 4 times the second and the second is two times the first . if their average is 165 , the smallest of the 3 numbers is :

0general

two mixers and one t . v . cost rs . 7000 , while two t . v . s and a mixer cost rs , 9800 . the value of one t . v . is :

0general

a train travels at the rate of 10 miles / hr for the first hour of a trip , at 20 miles / hr for the second hour , at 30 miles / hr for the third hour and so on . how many hours will it take the train to complete a 550 - mile journey ? assume that the train makes no intermediate stops .

1physics

ifaequals the sum of the even integers from 2 to 20 , inclusive , andbequals the sum of the odd integers from 1 to 19 , inclusive , what is the value of ( a - b ) / 2 ?

0general

in a certain diving competition , 5 judges score each dive on a scale from 1 to 10 . the point value of the dive is obtained by dropping the highest score and the lowest score and multiplying the sum of the remaining scores by the degree of difficulty . if a dive with a degree of difficulty of 3.2 received scores of 7.5 , 7.8 , 9.0 , 6.0 , and 8.5 , what was the point value of the dive ?

0general

the workforce of company x is 60 % female . the company hired 28 additional male workers , and as a result , the percent of female workers dropped to 55 % . how many employees did the company have after hiring the additional male workers ?

2gain

the average of first 25 prime numbers is ?

0general