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

Problem stringlengths 5 967	category class label 6 classes
jolene entered an 16 - month investment contract that guarantees to pay 2 percent interest at the end of 6 months , another 3 percent interest at the end of 12 months , and 4 percent interest at the end of the 18 month contract . if each interest payment is reinvested in the contract , and jolene invested $ 10,000 initially , what will be the total amount of interest paid during the 18 - month contract ?	2gain
divide $ 600 among a , b in the ratio 1 : 3 . how many $ that a get ?	5other
3 candidates in an election and received 3000 , 5000 and 20000 votes respectively . what % of the total votes did the winningcandidate got in that election ?	2gain
what number times ( 1 ⁄ 5 ) ^ 2 will give the value of 5 ^ 3 ?	0general
a clock shows the time as 9 a . m . if the minute hand gains 5 minutes every hour , how many minutes will the clock gain by 4 p . m . ?	1physics
the average weight of 4 person ' s increases by 3 kg when a new person comes in place of one of them weighing 70 kg . what might be the weight of the new person ?	0general
the no . of girls in a class are 7 times the no . of boys , which value cannever be the of total students ?	0general
a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 650 sq . feet , how many feet of fencing will be required ?	3geometry
john want to buy a $ 100 trouser at the store , but he think it ’ s too expensive . finally , it goes on sale for $ 50 . what is the percent decrease ?	0general
10 % of a number is more than 20 % of 650 by 190 . find the number ?	2gain
a clock store sold a certain clock to a collector for 25 percent more than the store had originally paid for the clock . when the collector tried to resell the clock to the store , the store bought it back at 55 percent of what the collector had paid . the shop then sold the clock again at a profit of 70 percent on its buy - back price . if the difference between the clock ' s original cost to the shop and the clock ' s buy - back price was $ 125 , for how much did the shop sell the clock the second time ?	0general
the ratio of spinsters to cats is 2 to 9 . if there are 63 more cats than spinsters , how many spinsters are there ?	5other
a survey of employers found that during 1993 employment costs rose 3.5 percent , where employment costs consist of salary costs and fringe - benefit costs . if salary costs rose 3 percent and fringe - benefit costs rose 8.5 percent during 1993 , then fringe - benefit costs represented what percent of employment costs at the beginning of 1993 ?	2gain
the time it took car p to travel 600 miles was 2 hours less than the time it took car r to travel the same distance . if car p ’ s average speed was 10 miles per hour greater than that of car r , what was car r ’ s average speed , in miles per hour ?	1physics
the h . c . f . of two numbers is 60 and the other two factors of their l . c . m . are 11 and 15 . the larger of the two numbers is :	5other
the number of even factors of 21600 is	5other
at a speed of 50 miles per hour , a certain car uses 1 gallon of gasoline every 30 miles . if the car starts with a full 10 gallon tank of gasoline and travels for 5 hours at 50 miles per hour , the amount of gasoline used would be what fraction of a full tank ?	1physics
what least number should be subtracted from 2590 so that the remainder when divided by 9 , 11 , and 13 will leave in each case the same remainder 6 ?	0general
the second angle of a triangle is double the first ( 110 ) . the third angle is 40 less than the first ( 15 ) . find the first angle .	3geometry
find the compound interest on $ 36,000 at 20 % per annum for 9 months , compounded quarterly	2gain
for each of her sales , a saleswoman receives a commission equal to 20 percent of the first $ 500 of the total amount of the sale , plus 25 percent of the total amount in excess of $ 500 . if the total amount of one of her sales was $ 800 , the saleswoman ’ s commission was approximately what percent of the total amount of the sale ?	0general
mike took a bus from home to market , that travels at 30 kmph . while walking back at 6 kmph , halfway through , he suddenly realized he was getting late and he cycled back the remaining distance in 20 kmph . find the average speed .	1physics
circular gears l and r start to rotate at the same time at the same rate . gear l makes 10 complete revolutions per minute and gear r makes 30 revolutions per minute . how many seconds after the gears start to rotate will gear r have made exactly 6 more revolutions than gear l ?	1physics
in the youth summer village there are 100 people , 50 of them are not working , 25 of them have families and 75 of them like to sing in the shower . what is the largest possible number of people in the village , which are working , that do n ' t have families and that are singing in the shower ?	0general
what is the smallest no . which must be added to 3245613 so as to obtain a sum which is divisible by 11 ?	0general
find the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 12 cm	1physics
a train 130 meters long is running with a speed of 60 kmph . in what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ?	1physics
a certain characteristic in a large population has a distribution that is symmetric about the mean m . if 68 percent of the distribution lies within one standard deviation d of the mean , what percent j of the distribution is less than m + d ?	0general
in a 4 person race , medals are awarded to the fastest 3 runners . the first - place runner receives a gold medal , the second - place runner receives a silver medal , and the third - place runner receives a bronze medal . in the event of a tie , the tied runners receive the same color medal . ( for example , if there is a two - way tie for first - place , the top two runners receive gold medals , the next - fastest runner receives a silver medal , and no bronze medal is awarded ) . assuming that exactly 3 medals are awarded , and that the 3 medal winners stand together with their medals to form a victory circle , how many z different victory circles are possible ?	0general
an air - conditioning unit costs $ 470 . on december there was a discount for christmas of 16 % . 6 months later , the holiday season was over so the company raised the price of the air - conditioning by 12 % . how much will an air - conditioning unit cost in november ?	2gain
in the hillside summer camp there are 50 children . 90 % of the children are boys and the rest are girls . the camp administrator decided to make the number of girls only 5 % of the total number of children in the camp . how many more boys must she bring to make that happen ?	0general
the average of first five multiples of 5 is	0general
maths , physics and chemistry books are stored on a library shelf that can accommodate 25 books . currently , 20 % of the shelf spots remain empty . there are twice as many maths books as physics books and the number of physics books is 4 greater than that of chemistry books . among all the books , 12 books are soft cover and the remaining are hard - cover . if there are a total of 7 hard - cover books among the maths and physics books . what is the probability e , that a book selected at random is either a hard cover book or a chemistry book ?	0general
how many diagonals does a polygon with 17 sides have , if one of its vertices does not connect to any diagonal ?	3geometry
the sum of 3 consecutive multiples of 3 is 72 . what is the larget number ?	0general
find the value of sin 75 ° + sin 15 ° = ?	0general
a train traveling at 180 kmph crosses a platform in 30 seconds and a man standing on the platform in 12 seconds . what is the length of the platform in meters ?	1physics
a certain school implemented a reading program for its students , with the goal of getting each student to read 7 books per month year - round . if the school has c classes made up of s students in each class , how many books will the entire student body read in one year ?	0general
a man , a woman and a boy can complete a job in 3,4 and 12 days respectively . how many boys must assist 1 man and 1 woman to complete the job in ¼ of a day ?	1physics
if the radius of the sphere is 14 m . then its total surface area is	3geometry
a train covers a distance of 12 km in 12 min . if it takes 6 sec to pass a telegraph post , then the length of the train is ?	1physics
the average weight of a group of boys is 20 kg . after a boy of weight 25 kg joins the group , the average weight of the group goes up by 1 kg . find the number of boys in the group originally ?	0general
a dealer offers a cash discount of 10 % and still makes a profit of 35 % when he further allows 20 articles to be sold at the cost price of 15 articles to a particular sticky bargainer . how much percent above the cost price were his articles listed ?	2gain
fox jeans regularly sell for $ 15 a pair and pony jeans regularly sell for $ 20 a pair . during a sale these regular unit prices are discounted at different rates so that a total of $ 9 is saved by purchasing 5 pairs of jeans : 3 pairs of fox jeans and 2 pairs of pony jeans . if the sum of the two discounts rates is 22 percent , what is the discount rate on pony jeans ?	2gain
if ( 5 ^ 7 ) ( 9 ^ 4 ) = 3 ( 15 ^ x ) , what is the value of x ?	0general
henrikh lives x blocks from his office . it takes him 1 minute per block to walk to work and 20 seconds per block to ride his bicycle to work . if it takes him exactly 8 minutes more to walk to work than to ride his bicycle , then x equals	1physics
george is 8 years more than christopher and ford is 2 years younger than christopher . the sum of their ages is 60 . find the ages of christopher .	0general
john and ingrid pay 30 % and 40 % tax annually , respectively . if john makes $ 56000 and ingrid makes $ 74000 , what is their combined tax rate ?	2gain
10 ^ ( 65 ) ã · 10 ^ ( 64 ) = ?	0general
the average of the marks of 11 students in a class is 36 . if the marks of each student are doubled , find the new average ?	0general
the average age of students of a class is 15.8 years . the average age of boys in the class is 16.4 years and that of the girls is 15.4 years . the ration of the number of boys to the number of girls in the class is :	0general
in a restaurant , the profit is 140 % of the cost . if the cost increases by 12 % but the selling price remains constant , approximately what percentage of the selling price is the profit ?	2gain
a hemispherical bowl is made of 0.5 cm thick steel . inner radius of the bowl is 4 cm . the volume of steel used in making the bowl is	1physics
a large box contains 18 small boxes and each small box contains 28 chocolate bars . how many chocolate bars are in the large box ?	0general
if one root of the equation 2 x ^ 2 + 3 x – k = 0 is 5 , what is the value of k ?	0general
from the salary of rahul , 20 % is deducted as house rent , 10 % of the rest he spends on children ’ s education and 10 % of the balance , he spends on clothes . after this expenditure he is left with rs 1377 . his salary is ?	2gain
the closest approximation of q = ( 69.28 × 0.004 ) / 0.03 is	0general
in an office , totally there are 800 employees and 25 % of the total employees are males . 40 % of the males in the office are at - least 50 years old . find the number of males aged below 50 years ?	0general
if a certain number x is divided by 82 , the reminder is 5 . what is the reminder when x + 13 is divided by 41 ?	0general
find the sum lend at c . i . at 5 p . c per annum will amount to rs . 341 in 2 years ?	0general
a sum fetched total simple interest of 4016.25 at the rate of 10 p . c . p . a . in 5 years . what is the sum ?	2gain
in a factory , an average of 50 tv ' s are produced per day for the fist 25 days of the months . a few workers fell ill for the next 5 days reducing the daily avg for the month to 45 sets / day . the average production per day for day last 5 days is ?	0general
the expression x # y denotes the product of the consecutive multiples of 3 between x and y , inclusive . what is the sum of the exponents in the prime factorization of 21 # 42 ?	0general
( 1.2 ) ( power 3 ) - ( 0.9 ) ( power 3 ) / ( 1.2 ) ( power 2 ) + 1.08 + ( 0.9 ) ( power 2 ) is :	0general
a volume of 10996 l water is in a container of sphere . how many hemisphere of volume 4 l each will be required to transfer all the water into the small hemispheres ?	3geometry
linda spent 3 / 4 of her savings on furniture and the rest on a tv . if the tv cost her $ 200 , what were her original savings ?	0general
a lent rs . 4000 to b for 2 years and rs . 2000 to c for 4 years on simple interest at the same rate of interest and received rs . 2200 in all from both of them as interest . the rate of interest per annum is :	2gain
what is the 23 th digit to the right of the decimal point in the decimal form of 36 / 66 ?	0general
a man can row his boat with the stream at 6 km / h and against the stream in 2 km / h . the man ' s rate is ?	2gain
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 quantity of alcohol in the given mixture .	0general
if the l . c . m of two numbers is 600 and their product is 18000 , find the h . c . f of the numbers .	1physics
working at a constant rate , p can finish a job in 3 hours . q , also working at a constant rate , can finish the same job in 18 hours . if they work together for 2 hours , how many more minutes will it take p to finish the job , working alone at his constant rate ?	1physics
at a restaurant , glasses are stored in two different - sized boxes . one box contains 12 glasses , and the other contains 16 glasses . if the average number of glasses per box is 15 , and there are 16 more of the larger boxes , what is the total number of glasses q at the restaurant ? ( assume that all boxes are filled to capacity . )	0general
tanks a and b are each in the shape of a right circular cylinder . the interior of tank a has a height of 10 meters and a circumference of 7 meters , and the interior of tank b has a height of 7 meters and a circumference of 10 meters . the capacity of tank a is what percent of the capacity of tank b ?	1physics
car a runs at the speed of 50 km / hr and reaches its destination in 8 hours . car b runs at the speed of 70 km / h and reaches its destination in 4 hours . what is the ratio of distances covered by car a and car b ?	1physics
a , b and c invested rs . 6300 , rs . 4200 and rs . 10500 respectively , in a partnership business . find the share of a in profit of rs . 12700 after a year ?	2gain
sum of two numbers is 25 and their difference is 13 . find their product .	0general
if 13 = 13 w / ( 1 - w ) , then ( 3 w ) 2 =	0general
john ' s bank ' s saving amount is decreased 12 % due to loan payment and current balance is rs . 44000 . find the actual balance before deduction ?	2gain
a 280 m long train running at the speed of 120 km / hr crosses another train running in opposite direction at the speed of 80 km / hr in 9 sec . what is the length of the other train ?	1physics
what is the sum of all remainders obtained when the first 300 natural numbers are divided by 9 ?	0general
an escalator moves towards the top level at the rate of 12 ft . sec and its length is 150 feet . if a person walks on the moving escalator at the rate of 3 feet per second towards the top level , how much time does he take to cover the entire length .	2gain
the area of rectangular field of length 90 meters and breadth 80 meters is equal to the area of a square plot . what will be the length of the diagonal of the square plot ?	3geometry
in a 100 m sprint race kelly was given a 3 m head start by abel . if abel lost the race to kelly by a distance of 0.50 m , how many meters more would abel need to overtake kelly ?	1physics
the volume of a wall , 5 times as high as it is broad and 8 times as long as it is high , is 12.8 cu . meters . find the breadth of the wall .	1physics
a certain characteristic in a large population has a distribution that is symmetric about the mean m . if 68 % of the distribution lies one standard deviation h of the mean , what percent of the distribution is less than m + h ?	0general
what is the 4 digit number whose second digit is thrice the first digit and 3 rd digit is sum of 1 st and 2 nd and last digit is thrice the second digit .	0general
how many of the positive factors of 20 are not factors of 24	5other
rs . 525 among a , b and c such that b may get 2 / 3 of a and c together get . find the share of c ?	0general
kamal obtained 81 , 68 , 82 , 69 and 90 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology . what are his average marks ?	0general
a farmer spent $ 33 on feed for chickens and goats . he spent 40 % money on chicken feed , which he bought at a 20 % discount off the full price , and spent the rest on goat feed , which he bought at full price . if the farmer had paid full price for both the chicken feed and the goat feed , what amount would he have spent on the chicken feed and goat feed combined ?	2gain
the difference in compound interest earned on a deposit ( compounded annually ) in year 1 and year 2 is $ 40 . had the interest rate been 3 times its present value , the difference c would have been how much ?	0general
the sum of the squares of two consecutive positive integers exceeds their product by 91 . find the integers ?	0general
in a lake , there is a patch of lily pads . every day , the patch doubles in size . it takes 48 days for the patch to cover the entire lake , how many days would it take the patch to cover half of the lake ?	1physics
find compound interest on rs . 5000 at 12 % per annum for 1 year , compounded half - yearly .	2gain
if 20 men can build a wall 112 metres long in 6 days , what length of a similar wall can be built by 35 men in 3 days ?	1physics
how many of the positive factors of 85 , 105 and how many common factors are there in numbers ?	5other
sakshi can do a piece of work in 20 days . tanya is 25 % more efficient than sakshi . the number of days taken by tanya to do the same piece of work is ?	1physics
if a / b = 1 / 3 , b / c = 2 , c / d = 1 / 2 , d / e = 3 and e / f = 1 / 6 , then what is the value of abc / def ?	0general
a and b invests rs . 4000 and rs . 4000 respectively in a business . if a doubles his capital after 6 months . in what ratio should a and b divide that year ' s profit ?	2gain

jolene entered an 16 - month investment contract that guarantees to pay 2 percent interest at the end of 6 months , another 3 percent interest at the end of 12 months , and 4 percent interest at the end of the 18 month contract . if each interest payment is reinvested in the contract , and jolene invested $ 10,000 initially , what will be the total amount of interest paid during the 18 - month contract ?

2gain

divide $ 600 among a , b in the ratio 1 : 3 . how many $ that a get ?

5other

3 candidates in an election and received 3000 , 5000 and 20000 votes respectively . what % of the total votes did the winningcandidate got in that election ?

2gain

what number times ( 1 ⁄ 5 ) ^ 2 will give the value of 5 ^ 3 ?

0general

a clock shows the time as 9 a . m . if the minute hand gains 5 minutes every hour , how many minutes will the clock gain by 4 p . m . ?

1physics

the average weight of 4 person ' s increases by 3 kg when a new person comes in place of one of them weighing 70 kg . what might be the weight of the new person ?

0general

the no . of girls in a class are 7 times the no . of boys , which value cannever be the of total students ?

0general

a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 650 sq . feet , how many feet of fencing will be required ?

3geometry

john want to buy a $ 100 trouser at the store , but he think it ’ s too expensive . finally , it goes on sale for $ 50 . what is the percent decrease ?

0general

10 % of a number is more than 20 % of 650 by 190 . find the number ?

2gain

a clock store sold a certain clock to a collector for 25 percent more than the store had originally paid for the clock . when the collector tried to resell the clock to the store , the store bought it back at 55 percent of what the collector had paid . the shop then sold the clock again at a profit of 70 percent on its buy - back price . if the difference between the clock ' s original cost to the shop and the clock ' s buy - back price was $ 125 , for how much did the shop sell the clock the second time ?

0general

the ratio of spinsters to cats is 2 to 9 . if there are 63 more cats than spinsters , how many spinsters are there ?

5other

a survey of employers found that during 1993 employment costs rose 3.5 percent , where employment costs consist of salary costs and fringe - benefit costs . if salary costs rose 3 percent and fringe - benefit costs rose 8.5 percent during 1993 , then fringe - benefit costs represented what percent of employment costs at the beginning of 1993 ?

2gain

the time it took car p to travel 600 miles was 2 hours less than the time it took car r to travel the same distance . if car p ’ s average speed was 10 miles per hour greater than that of car r , what was car r ’ s average speed , in miles per hour ?

1physics

the h . c . f . of two numbers is 60 and the other two factors of their l . c . m . are 11 and 15 . the larger of the two numbers is :

5other

the number of even factors of 21600 is

5other

at a speed of 50 miles per hour , a certain car uses 1 gallon of gasoline every 30 miles . if the car starts with a full 10 gallon tank of gasoline and travels for 5 hours at 50 miles per hour , the amount of gasoline used would be what fraction of a full tank ?

1physics

what least number should be subtracted from 2590 so that the remainder when divided by 9 , 11 , and 13 will leave in each case the same remainder 6 ?

0general

the second angle of a triangle is double the first ( 110 ) . the third angle is 40 less than the first ( 15 ) . find the first angle .

3geometry

find the compound interest on $ 36,000 at 20 % per annum for 9 months , compounded quarterly

2gain

for each of her sales , a saleswoman receives a commission equal to 20 percent of the first $ 500 of the total amount of the sale , plus 25 percent of the total amount in excess of $ 500 . if the total amount of one of her sales was $ 800 , the saleswoman ’ s commission was approximately what percent of the total amount of the sale ?

0general

mike took a bus from home to market , that travels at 30 kmph . while walking back at 6 kmph , halfway through , he suddenly realized he was getting late and he cycled back the remaining distance in 20 kmph . find the average speed .

1physics

circular gears l and r start to rotate at the same time at the same rate . gear l makes 10 complete revolutions per minute and gear r makes 30 revolutions per minute . how many seconds after the gears start to rotate will gear r have made exactly 6 more revolutions than gear l ?

1physics

in the youth summer village there are 100 people , 50 of them are not working , 25 of them have families and 75 of them like to sing in the shower . what is the largest possible number of people in the village , which are working , that do n ' t have families and that are singing in the shower ?

0general

what is the smallest no . which must be added to 3245613 so as to obtain a sum which is divisible by 11 ?

0general

find the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 12 cm

1physics

a train 130 meters long is running with a speed of 60 kmph . in what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ?

1physics

a certain characteristic in a large population has a distribution that is symmetric about the mean m . if 68 percent of the distribution lies within one standard deviation d of the mean , what percent j of the distribution is less than m + d ?

0general

in a 4 person race , medals are awarded to the fastest 3 runners . the first - place runner receives a gold medal , the second - place runner receives a silver medal , and the third - place runner receives a bronze medal . in the event of a tie , the tied runners receive the same color medal . ( for example , if there is a two - way tie for first - place , the top two runners receive gold medals , the next - fastest runner receives a silver medal , and no bronze medal is awarded ) . assuming that exactly 3 medals are awarded , and that the 3 medal winners stand together with their medals to form a victory circle , how many z different victory circles are possible ?

0general

an air - conditioning unit costs $ 470 . on december there was a discount for christmas of 16 % . 6 months later , the holiday season was over so the company raised the price of the air - conditioning by 12 % . how much will an air - conditioning unit cost in november ?

2gain

in the hillside summer camp there are 50 children . 90 % of the children are boys and the rest are girls . the camp administrator decided to make the number of girls only 5 % of the total number of children in the camp . how many more boys must she bring to make that happen ?

0general

the average of first five multiples of 5 is

0general

maths , physics and chemistry books are stored on a library shelf that can accommodate 25 books . currently , 20 % of the shelf spots remain empty . there are twice as many maths books as physics books and the number of physics books is 4 greater than that of chemistry books . among all the books , 12 books are soft cover and the remaining are hard - cover . if there are a total of 7 hard - cover books among the maths and physics books . what is the probability e , that a book selected at random is either a hard cover book or a chemistry book ?

0general

how many diagonals does a polygon with 17 sides have , if one of its vertices does not connect to any diagonal ?

3geometry

the sum of 3 consecutive multiples of 3 is 72 . what is the larget number ?

0general

find the value of sin 75 ° + sin 15 ° = ?

0general

a train traveling at 180 kmph crosses a platform in 30 seconds and a man standing on the platform in 12 seconds . what is the length of the platform in meters ?

1physics

a certain school implemented a reading program for its students , with the goal of getting each student to read 7 books per month year - round . if the school has c classes made up of s students in each class , how many books will the entire student body read in one year ?

0general

a man , a woman and a boy can complete a job in 3,4 and 12 days respectively . how many boys must assist 1 man and 1 woman to complete the job in ¼ of a day ?

1physics

if the radius of the sphere is 14 m . then its total surface area is

3geometry

a train covers a distance of 12 km in 12 min . if it takes 6 sec to pass a telegraph post , then the length of the train is ?

1physics

the average weight of a group of boys is 20 kg . after a boy of weight 25 kg joins the group , the average weight of the group goes up by 1 kg . find the number of boys in the group originally ?

0general

a dealer offers a cash discount of 10 % and still makes a profit of 35 % when he further allows 20 articles to be sold at the cost price of 15 articles to a particular sticky bargainer . how much percent above the cost price were his articles listed ?

2gain

fox jeans regularly sell for $ 15 a pair and pony jeans regularly sell for $ 20 a pair . during a sale these regular unit prices are discounted at different rates so that a total of $ 9 is saved by purchasing 5 pairs of jeans : 3 pairs of fox jeans and 2 pairs of pony jeans . if the sum of the two discounts rates is 22 percent , what is the discount rate on pony jeans ?

2gain

if ( 5 ^ 7 ) ( 9 ^ 4 ) = 3 ( 15 ^ x ) , what is the value of x ?

0general

henrikh lives x blocks from his office . it takes him 1 minute per block to walk to work and 20 seconds per block to ride his bicycle to work . if it takes him exactly 8 minutes more to walk to work than to ride his bicycle , then x equals

1physics

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

0general

john and ingrid pay 30 % and 40 % tax annually , respectively . if john makes $ 56000 and ingrid makes $ 74000 , what is their combined tax rate ?

2gain

10 ^ ( 65 ) ã · 10 ^ ( 64 ) = ?

0general

the average of the marks of 11 students in a class is 36 . if the marks of each student are doubled , find the new average ?

0general

the average age of students of a class is 15.8 years . the average age of boys in the class is 16.4 years and that of the girls is 15.4 years . the ration of the number of boys to the number of girls in the class is :

0general

in a restaurant , the profit is 140 % of the cost . if the cost increases by 12 % but the selling price remains constant , approximately what percentage of the selling price is the profit ?

2gain

a hemispherical bowl is made of 0.5 cm thick steel . inner radius of the bowl is 4 cm . the volume of steel used in making the bowl is

1physics

a large box contains 18 small boxes and each small box contains 28 chocolate bars . how many chocolate bars are in the large box ?

0general

if one root of the equation 2 x ^ 2 + 3 x – k = 0 is 5 , what is the value of k ?

0general

from the salary of rahul , 20 % is deducted as house rent , 10 % of the rest he spends on children ’ s education and 10 % of the balance , he spends on clothes . after this expenditure he is left with rs 1377 . his salary is ?

2gain

the closest approximation of q = ( 69.28 × 0.004 ) / 0.03 is

0general

in an office , totally there are 800 employees and 25 % of the total employees are males . 40 % of the males in the office are at - least 50 years old . find the number of males aged below 50 years ?

0general

if a certain number x is divided by 82 , the reminder is 5 . what is the reminder when x + 13 is divided by 41 ?

0general

find the sum lend at c . i . at 5 p . c per annum will amount to rs . 341 in 2 years ?

0general

a sum fetched total simple interest of 4016.25 at the rate of 10 p . c . p . a . in 5 years . what is the sum ?

2gain

in a factory , an average of 50 tv ' s are produced per day for the fist 25 days of the months . a few workers fell ill for the next 5 days reducing the daily avg for the month to 45 sets / day . the average production per day for day last 5 days is ?

0general

the expression x # y denotes the product of the consecutive multiples of 3 between x and y , inclusive . what is the sum of the exponents in the prime factorization of 21 # 42 ?

0general

( 1.2 ) ( power 3 ) - ( 0.9 ) ( power 3 ) / ( 1.2 ) ( power 2 ) + 1.08 + ( 0.9 ) ( power 2 ) is :

0general

a volume of 10996 l water is in a container of sphere . how many hemisphere of volume 4 l each will be required to transfer all the water into the small hemispheres ?

3geometry

linda spent 3 / 4 of her savings on furniture and the rest on a tv . if the tv cost her $ 200 , what were her original savings ?

0general

a lent rs . 4000 to b for 2 years and rs . 2000 to c for 4 years on simple interest at the same rate of interest and received rs . 2200 in all from both of them as interest . the rate of interest per annum is :

2gain

what is the 23 th digit to the right of the decimal point in the decimal form of 36 / 66 ?

0general

a man can row his boat with the stream at 6 km / h and against the stream in 2 km / h . the man ' s rate is ?

2gain

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 quantity of alcohol in the given mixture .

0general

if the l . c . m of two numbers is 600 and their product is 18000 , find the h . c . f of the numbers .

1physics

working at a constant rate , p can finish a job in 3 hours . q , also working at a constant rate , can finish the same job in 18 hours . if they work together for 2 hours , how many more minutes will it take p to finish the job , working alone at his constant rate ?

1physics

at a restaurant , glasses are stored in two different - sized boxes . one box contains 12 glasses , and the other contains 16 glasses . if the average number of glasses per box is 15 , and there are 16 more of the larger boxes , what is the total number of glasses q at the restaurant ? ( assume that all boxes are filled to capacity . )

0general

tanks a and b are each in the shape of a right circular cylinder . the interior of tank a has a height of 10 meters and a circumference of 7 meters , and the interior of tank b has a height of 7 meters and a circumference of 10 meters . the capacity of tank a is what percent of the capacity of tank b ?

1physics

car a runs at the speed of 50 km / hr and reaches its destination in 8 hours . car b runs at the speed of 70 km / h and reaches its destination in 4 hours . what is the ratio of distances covered by car a and car b ?

1physics

a , b and c invested rs . 6300 , rs . 4200 and rs . 10500 respectively , in a partnership business . find the share of a in profit of rs . 12700 after a year ?

2gain

sum of two numbers is 25 and their difference is 13 . find their product .

0general

if 13 = 13 w / ( 1 - w ) , then ( 3 w ) 2 =

0general

john ' s bank ' s saving amount is decreased 12 % due to loan payment and current balance is rs . 44000 . find the actual balance before deduction ?

2gain

a 280 m long train running at the speed of 120 km / hr crosses another train running in opposite direction at the speed of 80 km / hr in 9 sec . what is the length of the other train ?

1physics

what is the sum of all remainders obtained when the first 300 natural numbers are divided by 9 ?

0general

an escalator moves towards the top level at the rate of 12 ft . sec and its length is 150 feet . if a person walks on the moving escalator at the rate of 3 feet per second towards the top level , how much time does he take to cover the entire length .

2gain

the area of rectangular field of length 90 meters and breadth 80 meters is equal to the area of a square plot . what will be the length of the diagonal of the square plot ?

3geometry

in a 100 m sprint race kelly was given a 3 m head start by abel . if abel lost the race to kelly by a distance of 0.50 m , how many meters more would abel need to overtake kelly ?

1physics

the volume of a wall , 5 times as high as it is broad and 8 times as long as it is high , is 12.8 cu . meters . find the breadth of the wall .

1physics

a certain characteristic in a large population has a distribution that is symmetric about the mean m . if 68 % of the distribution lies one standard deviation h of the mean , what percent of the distribution is less than m + h ?

0general

what is the 4 digit number whose second digit is thrice the first digit and 3 rd digit is sum of 1 st and 2 nd and last digit is thrice the second digit .

0general

how many of the positive factors of 20 are not factors of 24

5other

rs . 525 among a , b and c such that b may get 2 / 3 of a and c together get . find the share of c ?

0general

kamal obtained 81 , 68 , 82 , 69 and 90 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology . what are his average marks ?

0general

a farmer spent $ 33 on feed for chickens and goats . he spent 40 % money on chicken feed , which he bought at a 20 % discount off the full price , and spent the rest on goat feed , which he bought at full price . if the farmer had paid full price for both the chicken feed and the goat feed , what amount would he have spent on the chicken feed and goat feed combined ?

2gain

the difference in compound interest earned on a deposit ( compounded annually ) in year 1 and year 2 is $ 40 . had the interest rate been 3 times its present value , the difference c would have been how much ?

0general

the sum of the squares of two consecutive positive integers exceeds their product by 91 . find the integers ?

0general

in a lake , there is a patch of lily pads . every day , the patch doubles in size . it takes 48 days for the patch to cover the entire lake , how many days would it take the patch to cover half of the lake ?

1physics

find compound interest on rs . 5000 at 12 % per annum for 1 year , compounded half - yearly .

2gain

if 20 men can build a wall 112 metres long in 6 days , what length of a similar wall can be built by 35 men in 3 days ?

1physics

how many of the positive factors of 85 , 105 and how many common factors are there in numbers ?

5other

sakshi can do a piece of work in 20 days . tanya is 25 % more efficient than sakshi . the number of days taken by tanya to do the same piece of work is ?

1physics

if a / b = 1 / 3 , b / c = 2 , c / d = 1 / 2 , d / e = 3 and e / f = 1 / 6 , then what is the value of abc / def ?

0general

a and b invests rs . 4000 and rs . 4000 respectively in a business . if a doubles his capital after 6 months . in what ratio should a and b divide that year ' s profit ?

2gain