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

Problem stringlengths 5 967	category class label 6 classes
in a class of 40 students , 2 students did not borrow any books from the library , 12 students each borrowed 1 book , 12 students each borrowed 2 books , and the rest borrowed at least 3 books . if the average number of books per student was 2 , what is the maximum number of books any single student could have borrowed ?	0general
shop offered 40 % offer for every shirt , smith bought a shirt at rs . 560 . and what was the shop ' s original selling price ?	2gain
the average score of a cricketer for 12 matches is 48 runs . if the average for first 8 matches is 40 , then average for last 4 matches is	0general
the average of 40 results is 30 and the average of other 30 results is 40 . what is the average of all the results ?	0general
a candidate got 35 % of the votes polled and he lost to his rival by 2340 votes . how many votes were cast ?	2gain
a and b started a business in partnership investing rs . 20,000 and rs . 15,000 respectively . after 6 months , c joined them with rs . 20,000 . whatwill be b ' s share in total profit of rs . 25,000 earned at the end of 2 years from the startingof the business ?	2gain
in a box of 12 pens , a total of 4 are defective . if a customer buys 2 pens selected at random from the box , what is the probability that neither pen will be defective ?	0general
a bowl was filled with 10 ounces of water , and 0.007 ounce of the water evaporated each day during a 50 - day period . what percent of the original amount of water evaporated during this period ?	2gain
the price of a certain painting increased by 30 % during the first year and decreased by 20 % during the second year . the price of the painting at the end of the 2 - year period was what percent of the original price ?	0general
the least whole number which when subtracted from both the terms of the ratio 6 : 7 to give a ra ɵ o less than 16 : 21 , is	5other
in what time will a train 134 m long cross an electric pole , it its speed be 169 km / hr ?	1physics
a train 75 m long passes a man , running at 5 km / hr in the same direction in which the train is going , in 10 seconds . the speed of the train is ?	1physics
a train 200 m long crosses a platform 150 m long in 20 sec ; find the speed of the train ?	1physics
if ( 5 ^ 13 ) ( 9 ^ 7 ) = 3 ( 15 ^ x ) , what is the value of x ?	0general
in one hour , a boat goes 19 km / hr along the stream and 11 km / hr against the stream . the speed of the boat in still water ( in km / hr ) is :	1physics
a , b , c , d , e , f , g , h sitting in a row what is the probability that a , b , d are sitting together ?	4probability
the divisor is 21 , the quotient is 14 and the remainder is 7 . what is the dividend ?	0general
tabby is training for a triathlon . she swims at a speed of 1 mile per hour . she runs at a speed of 6 miles per hour . she wants to figure out her average speed for these two events . what is the correct answer for her ?	1physics
what annual payment will discharge a debt of rs . 1050 due in 2 years at the rate of 5 % compound interest ?	2gain
a dishonest dealer professes to sell goods at the cost price but uses a weight of 880 grams per kg , what is his percent ?	2gain
the number of positive integer solutions for the equation x + y + z + t = 21 is	0general
a shopkeeper buys mangoes at the rate of 6 a rupee and sells them at 5 a rupee . find his net profit or loss percent ?	2gain
machine p and machine q are each used to manufacture 330 sprockets . it takes machine p 10 hours longer to produce 330 sprockets than machine q . machine q produces 10 % more sprockets per hour than machine a . how many sprockets per hour does machine a produce ?	2gain
at veridux corporation , there are 250 employees . of these , 90 are female , and the rest are males . there are a total of 40 managers , and the rest of the employees are associates . if there are a total of 160 male associates , how many female managers are there ?	0general
think of a number , divide it by 5 and add 8 to it . the result is 61 . what is the number thought of ?	0general
the ratio by weight , measured in pounds , of books to clothes to electronics in a suitcase initially stands at 7 : 4 : 3 . someone removes 8 pounds of clothing from the suitcase , thereby doubling the ratio of books to clothes . how many pounds do the electronics in the suitcase weigh ?	5other
the radius of a semi circle is 2.1 cm then its perimeter is ?	1physics
the dimensions of a rectangular solid are 4 inches , 5 inches , and 10 inches . if a cube , a side of which is equal to one of the dimensions of the rectangular solid , is placed entirely within thespherejust large enough to hold the cube , what the ratio of the volume of the cube to the volume within thespherethat is not occupied by the cube ?	3geometry
which number should replace both the asterisks in ( * / 21 ) x ( * / 189 ) = 1 ?	0general
a tank contains 10,000 gallons of a solution that is 6 percent sodium chloride by volume . if 6,000 gallons of water evaporate from the tank , the remaining solution will be approximately what percent sodium chloride ?	2gain
two pipes a and b can fill a cistern in 12 and 20 minutes respectively , and a third pipe c can empty it in 30 minutes . how long will it take to fill the cistern if all the three are opened at the same time ?	1physics
two tests had the same maximum mark . the pass percentages in the first and the second test were 40 % and 45 % respectively . a candidate scored 231 marks in the second test and failed by 48 marks in that test . find the pass mark in the first test ?	2gain
trains a and b start simultaneously from stations 200 miles apart , and travel the same route toward each other on adjacent parallel tracks . if train a and train b travel at a constant rate of 20 miles per hour and 20 miles per hour , respectively , how many miles will train a have traveled when the trains pass each other , to the nearest mile ?	1physics
x = 13.165 y = 7.686 z = 11.545 the number a is obtained by first rounding the values of x , y , and z to the hundredths place and then adding the resulting values . the number b is obtained by first adding the values of x , y , and z and then rounding the sum to the hundredths place . what is the value of a – b ?	0general
the area of a square is 144 m ² . find its perimeter .	3geometry
how is 1 % expressed as a decimal fraction ?	2gain
salesperson a ' s compensation for any week is $ 350 plus 6 percent of the portion of a ' s total sales above $ 1,000 for that week . salesperson b ' s compensation for any week is 8 percent of a ' s total sales for that week . for what amount of total weekly sales would both salepeople earn the same compensation ?	0general
a , b , c and d enter into partnership . a subscribes 1 / 3 of the capital b 1 / 4 , c 1 / 5 and d the rest . how much share did a get in a profit of rs . 2430 ?	0general
a person walks at a speed of 4 km / hr and runs at a speed of 8 km / hr . how many hours will the person require to cover a distance of 8 km , if the person completes half of the distance by walking and the other half by running ?	1physics
dacid obtained 45 , 35 , 52 , 47 and 55 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology . what are his average marks ?	0general
if anangletis defined as 1 percent of 1 degree , then how many anglets are there in a quarter circle ?	3geometry
the product of a and b is equal to 10 more than twice the sum of a and b . if b = 9 , what is the value of b - a ?	0general
how many times digit 2 is used while writing numbers from 400 to 700 ?	0general
lionel left his house and walked towards walt ' s house , 48 miles away . two hours later , walt left his house and ran towards lionel ' s house . if lionel ' s speed was 2 miles per hour and walt ' s 6 miles per hour , how many miles had lionel walked when he met walt ?	1physics
due to construction , the speed limit along an 10 - mile section of highway is reduced from 55 miles per hour to 15 miles per hour . approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ?	1physics
the ratio of the volumes of two cubes is 2744 : 3375 . what is the ratio of their total surface areas ?	3geometry
a and b started a business investing rs . 90,000 and rs 20,000 respectively . in what ratio the profit earned after 2 years be divided between a and b respectively ?	2gain
the compound interest on $ 2000 at 10 % per annum is $ 662 . the period ( in years ) is ?	2gain
if a 10 percent deposit that has been paid toward the purchase of a certain product is $ 150 , how much more remains to be paid ?	0general
what is 995 * 995 ?	0general
a train 125 m long passes a man , running at 5 km / hr in the same direction in which the train is going , in 15 seconds . the speed of the train is ?	1physics
an object thrown directly upward is at a height of h feet after t seconds , where h = - 15 ( t - 3 ) ^ 2 + 150 . at what height , in feet , is the object 2 seconds after it reaches its maximum height ?	0general
the average of 6 observations is 13 . a new observation is included and the new average is decreased by 1 . the seventh observation is ?	0general
the vertex of a rectangle are ( 1 , 0 ) , ( 9 , 0 ) , ( 1 , 4 ) and ( 9 , 4 ) respectively . if line l passes through the origin and divided the rectangle into two identical quadrilaterals , what is the slope of line l ?	0general
a test has 100 questions . each question has 5 options , but only 1 option is correct . if test - takers mark the correct option , they are awarded 1 point . however , if an answer is incorrectly marked , the test - taker loses 0.25 points . no points are awarded or deducted if a question is not attempted . a certain group of test - takers attempted different numbers of questions , but each test - taker still received the same net score of 40 . what is the maximum possible number of such test - takers ?	0general
a women in her conversation said ` ` if u reverse my own age , in figures represent my husbands age . he is of course senior to me and difference between our age is one 0 ne - eleventh of their sum . what is the woman ' s and her husbands age ?	0general
if 4 men working 10 hours a day earn rs . 600 per week , then 9 men working 6 hours a day will earn how much per week ?	1physics
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 q that both selected dogs are not littermates ?	5other
a group of students decided to collect as many paise from each member of group as is the number of members . if the total collection amounts to rs . 20.25 , the number of the member is the group is :	0general
a 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 12 sec . what is the length of the platform ?	1physics
mr . karan borrowed a certain amount at 6 % per annum simple interest for 9 years . after 9 years , he returned rs . 8510 / - . find out the amount that he borrowed .	2gain
if the sum of two numbers is 24 and the sum of their squares is 400 , then the product of the numbers is	0general
if the area of a square with sides of length 6 centimeters is equal to the area of a rectangle with a width of 4 centimeters , what is the length of the rectangle , in centimeters ?	3geometry
how many integer values t are there for x such that 1 < 3 x + 5 < 17 ?	0general
the sum of 3 consecutive multiples of 3 is 117 . what is the largest number ?	0general
if the cost price of 81 chocolates is equal to the selling price of 45 chocolates , the gain percent is :	2gain
company z has 50 employees . if the number of employees having birthdays on wednesday is more than the number of employees having birthdays on any other day of the week , each of which have same number of birth - days , what is the minimum number of employees having birthdays on wednesday .	0general
the cost price of an article is 64 % of the marked price . calculate the gain percent after allowing a discount of 18 % ?	2gain
the average age of 39 students in a group is 14 years . when teacher ' s age is included to it , the average increases by one . what is the teacher ' s age in years ?	0general
how many times are the hands of a clock at right angle in 2 weeks ?	3geometry
the membership of a committee consists of 3 english teachers , 4 mathematics teachers , and 2 social studies teachers . if 2 committee members are to be selected at random to write the committee ’ s report , what is the probability that the two members selected will both be maths teachers ?	4probability
in an examination , a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer . if he attempts all 75 questions and secures 125 marks , the number of questions he attempts correctly , is :	1physics
the value of x . 320 ã · 2 ã · 3 = x	0general
v is the volume of a cylinder ; the radius of the cylinder is 3.5 . the height of the cylinder is 650 % more than the radius . which of the following is true ?	3geometry
two employees x and y are paid a total of rs . 580 per week by their employer . if x is paid 120 percent of the sum paid to y , how much is y paid per week ?	0general
two trains of length 120 m and 300 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively . in what time will they be clear of each other from the moment they meet ?	1physics
two trains of length 100 m and 220 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively . in what time will they be clear of each other from the moment they meet ?	1physics
what positive number , when squared , is equal to the cube of the positive square root of 18 ?	3geometry
a train 360 m long is running at a speed of 54 km / hr . in what time will it pass a bridge 140 m long ?	1physics
210 college students were asked in a survey if they preferred windows or mac brand computers . 60 students claimed that they preferred mac to windows brand computers . one third as many of the students who preferred mac to windows , equally preferred both brands . 90 of the students had no preference . how many of the students in the survey preferred windows to mac brand computers ?	5other
if a truck is traveling at a constant rate of 36 kilometers per hour , how many seconds will it take the truck to travel a distance of 600 meters ? ( 1 kilometer = 1000 meters )	1physics
solve this 6 + 7 = 12 8 + 9 = 16 5 + 6 = 10 7 + 8 = 14 then , 3 + 3 = ? ?	0general
\| x + 3 \| – \| 4 - x \| = \| 8 + x \| how many solutions zwill this equation have ?	0general
john and jane went out for a dinner and they ordered the same dish . both used a 10 % discount coupon . john paid a 15 % tip over the original price of the dish , while jane paid the tip over the discounted price for the coupon . if john paid $ 1.26 more than jane , what was the original price of the dish ?	2gain
if 3 / p = 8 & 3 / q = 18 then p - q = ?	0general
a certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 2 of 7 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ?	5other
mohit sold an article for $ 18000 . had he offered a discount of 10 % on the selling price , he would have earned a profit of 8 % . what is the cost price of the article ?	2gain
a is twice as fast as b . if b alone can do a piece of work in 30 days , in what time can a and b together complete the work ?	1physics
a bag contains 3 blue and 5 white marbles . one by one , marbles are drawn out randomly until only two are left in the bag . what is the probability c that out of the two , one is white and one is blue ?	4probability
the total cost of a vacation was divided among 4 people . if the total cost of the vacation had been divided equally among 5 people , the cost per person would have been $ 50 less . what was the total cost cost of the vacation ?	0general
by mixing two brands of coffee and selling the mixture at the rate of $ 177 per kg . a shopkeeper makes a profit of 18 % . if to every 2 kg of one brand costing $ 200 per kg , 3 kg of the other brand is added , then how much per kg does the other brand cost ?	2gain
a courier charges for packages to a certain destination are 65 cents for the first 250 grams and 10 cents for each additional 100 grams or part thereof . what could be the weight in grams of a package for which the charge is $ 1.75 ?	0general
johnny makes $ 6.75 per hour at his work . if he works 10 hours , how much money will he earn ?	1physics
machines x and y produce bottles at their respective constant rates . machine x produces k bottles in 6 hours and machine y produces k bottles in 3 hours . how many hours does it take machines x and y , working simultaneously , to produce 12 k bottles ?	1physics
34 , 45 , 56 , 67,78 , _ ?	0general
a take twice as much time as b or thrice as much time to finish a piece of work . working together , they can finish the work in 4 days . b can do the work alone in ?	1physics
a man purchased 3 blankets @ rs . 100 each , 3 blankets @ rs . 150 each and two blankets at a certain rate which is now slipped off from his memory . but he remembers that the average price of the blankets was rs . 150 . find the unknown rate of two blankets ?	0general
an amount at compound interest sums to rs . 17640 / - in 2 years and to rs . 18522 / - in 3 years at the same rate of interest . find the rate percentage ?	0general
how many integers from 101 to 1000 , inclusive , remains the value unchanged when the digits were reversed ?	0general
when positive integer n is divided by 5 , the remainder is 1 . when n is divided by 7 , the remainder is 3 . what is the smallest positive integer k such that k + n is a multiple of 37 ?	0general

in a class of 40 students , 2 students did not borrow any books from the library , 12 students each borrowed 1 book , 12 students each borrowed 2 books , and the rest borrowed at least 3 books . if the average number of books per student was 2 , what is the maximum number of books any single student could have borrowed ?

0general

shop offered 40 % offer for every shirt , smith bought a shirt at rs . 560 . and what was the shop ' s original selling price ?

2gain

the average score of a cricketer for 12 matches is 48 runs . if the average for first 8 matches is 40 , then average for last 4 matches is

0general

the average of 40 results is 30 and the average of other 30 results is 40 . what is the average of all the results ?

0general

a candidate got 35 % of the votes polled and he lost to his rival by 2340 votes . how many votes were cast ?

2gain

a and b started a business in partnership investing rs . 20,000 and rs . 15,000 respectively . after 6 months , c joined them with rs . 20,000 . whatwill be b ' s share in total profit of rs . 25,000 earned at the end of 2 years from the startingof the business ?

2gain

in a box of 12 pens , a total of 4 are defective . if a customer buys 2 pens selected at random from the box , what is the probability that neither pen will be defective ?

0general

a bowl was filled with 10 ounces of water , and 0.007 ounce of the water evaporated each day during a 50 - day period . what percent of the original amount of water evaporated during this period ?

2gain

the price of a certain painting increased by 30 % during the first year and decreased by 20 % during the second year . the price of the painting at the end of the 2 - year period was what percent of the original price ?

0general

the least whole number which when subtracted from both the terms of the ratio 6 : 7 to give a ra ɵ o less than 16 : 21 , is

5other

in what time will a train 134 m long cross an electric pole , it its speed be 169 km / hr ?

1physics

a train 75 m long passes a man , running at 5 km / hr in the same direction in which the train is going , in 10 seconds . the speed of the train is ?

1physics

a train 200 m long crosses a platform 150 m long in 20 sec ; find the speed of the train ?

1physics

if ( 5 ^ 13 ) ( 9 ^ 7 ) = 3 ( 15 ^ x ) , what is the value of x ?

0general

in one hour , a boat goes 19 km / hr along the stream and 11 km / hr against the stream . the speed of the boat in still water ( in km / hr ) is :

1physics

a , b , c , d , e , f , g , h sitting in a row what is the probability that a , b , d are sitting together ?

4probability

the divisor is 21 , the quotient is 14 and the remainder is 7 . what is the dividend ?

0general

tabby is training for a triathlon . she swims at a speed of 1 mile per hour . she runs at a speed of 6 miles per hour . she wants to figure out her average speed for these two events . what is the correct answer for her ?

1physics

what annual payment will discharge a debt of rs . 1050 due in 2 years at the rate of 5 % compound interest ?

2gain

a dishonest dealer professes to sell goods at the cost price but uses a weight of 880 grams per kg , what is his percent ?

2gain

the number of positive integer solutions for the equation x + y + z + t = 21 is

0general

a shopkeeper buys mangoes at the rate of 6 a rupee and sells them at 5 a rupee . find his net profit or loss percent ?

2gain

machine p and machine q are each used to manufacture 330 sprockets . it takes machine p 10 hours longer to produce 330 sprockets than machine q . machine q produces 10 % more sprockets per hour than machine a . how many sprockets per hour does machine a produce ?

2gain

at veridux corporation , there are 250 employees . of these , 90 are female , and the rest are males . there are a total of 40 managers , and the rest of the employees are associates . if there are a total of 160 male associates , how many female managers are there ?

0general

think of a number , divide it by 5 and add 8 to it . the result is 61 . what is the number thought of ?

0general

the ratio by weight , measured in pounds , of books to clothes to electronics in a suitcase initially stands at 7 : 4 : 3 . someone removes 8 pounds of clothing from the suitcase , thereby doubling the ratio of books to clothes . how many pounds do the electronics in the suitcase weigh ?

5other

the radius of a semi circle is 2.1 cm then its perimeter is ?

1physics

the dimensions of a rectangular solid are 4 inches , 5 inches , and 10 inches . if a cube , a side of which is equal to one of the dimensions of the rectangular solid , is placed entirely within thespherejust large enough to hold the cube , what the ratio of the volume of the cube to the volume within thespherethat is not occupied by the cube ?

3geometry

which number should replace both the asterisks in ( * / 21 ) x ( * / 189 ) = 1 ?

0general

a tank contains 10,000 gallons of a solution that is 6 percent sodium chloride by volume . if 6,000 gallons of water evaporate from the tank , the remaining solution will be approximately what percent sodium chloride ?

2gain

two pipes a and b can fill a cistern in 12 and 20 minutes respectively , and a third pipe c can empty it in 30 minutes . how long will it take to fill the cistern if all the three are opened at the same time ?

1physics

two tests had the same maximum mark . the pass percentages in the first and the second test were 40 % and 45 % respectively . a candidate scored 231 marks in the second test and failed by 48 marks in that test . find the pass mark in the first test ?

2gain

trains a and b start simultaneously from stations 200 miles apart , and travel the same route toward each other on adjacent parallel tracks . if train a and train b travel at a constant rate of 20 miles per hour and 20 miles per hour , respectively , how many miles will train a have traveled when the trains pass each other , to the nearest mile ?

1physics

x = 13.165 y = 7.686 z = 11.545 the number a is obtained by first rounding the values of x , y , and z to the hundredths place and then adding the resulting values . the number b is obtained by first adding the values of x , y , and z and then rounding the sum to the hundredths place . what is the value of a – b ?

0general

the area of a square is 144 m ² . find its perimeter .

3geometry

how is 1 % expressed as a decimal fraction ?

2gain

salesperson a ' s compensation for any week is $ 350 plus 6 percent of the portion of a ' s total sales above $ 1,000 for that week . salesperson b ' s compensation for any week is 8 percent of a ' s total sales for that week . for what amount of total weekly sales would both salepeople earn the same compensation ?

0general

a , b , c and d enter into partnership . a subscribes 1 / 3 of the capital b 1 / 4 , c 1 / 5 and d the rest . how much share did a get in a profit of rs . 2430 ?

0general

a person walks at a speed of 4 km / hr and runs at a speed of 8 km / hr . how many hours will the person require to cover a distance of 8 km , if the person completes half of the distance by walking and the other half by running ?

1physics

dacid obtained 45 , 35 , 52 , 47 and 55 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology . what are his average marks ?

0general

if anangletis defined as 1 percent of 1 degree , then how many anglets are there in a quarter circle ?

3geometry

the product of a and b is equal to 10 more than twice the sum of a and b . if b = 9 , what is the value of b - a ?

0general

how many times digit 2 is used while writing numbers from 400 to 700 ?

0general

lionel left his house and walked towards walt ' s house , 48 miles away . two hours later , walt left his house and ran towards lionel ' s house . if lionel ' s speed was 2 miles per hour and walt ' s 6 miles per hour , how many miles had lionel walked when he met walt ?

1physics

due to construction , the speed limit along an 10 - mile section of highway is reduced from 55 miles per hour to 15 miles per hour . approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ?

1physics

the ratio of the volumes of two cubes is 2744 : 3375 . what is the ratio of their total surface areas ?

3geometry

a and b started a business investing rs . 90,000 and rs 20,000 respectively . in what ratio the profit earned after 2 years be divided between a and b respectively ?

2gain

the compound interest on $ 2000 at 10 % per annum is $ 662 . the period ( in years ) is ?

2gain

if a 10 percent deposit that has been paid toward the purchase of a certain product is $ 150 , how much more remains to be paid ?

0general

what is 995 * 995 ?

0general

a train 125 m long passes a man , running at 5 km / hr in the same direction in which the train is going , in 15 seconds . the speed of the train is ?

1physics

an object thrown directly upward is at a height of h feet after t seconds , where h = - 15 ( t - 3 ) ^ 2 + 150 . at what height , in feet , is the object 2 seconds after it reaches its maximum height ?

0general

the average of 6 observations is 13 . a new observation is included and the new average is decreased by 1 . the seventh observation is ?

0general

the vertex of a rectangle are ( 1 , 0 ) , ( 9 , 0 ) , ( 1 , 4 ) and ( 9 , 4 ) respectively . if line l passes through the origin and divided the rectangle into two identical quadrilaterals , what is the slope of line l ?

0general

a test has 100 questions . each question has 5 options , but only 1 option is correct . if test - takers mark the correct option , they are awarded 1 point . however , if an answer is incorrectly marked , the test - taker loses 0.25 points . no points are awarded or deducted if a question is not attempted . a certain group of test - takers attempted different numbers of questions , but each test - taker still received the same net score of 40 . what is the maximum possible number of such test - takers ?

0general

a women in her conversation said ` ` if u reverse my own age , in figures represent my husbands age . he is of course senior to me and difference between our age is one 0 ne - eleventh of their sum . what is the woman ' s and her husbands age ?

0general

if 4 men working 10 hours a day earn rs . 600 per week , then 9 men working 6 hours a day will earn how much per week ?

1physics

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 q that both selected dogs are not littermates ?

5other

a group of students decided to collect as many paise from each member of group as is the number of members . if the total collection amounts to rs . 20.25 , the number of the member is the group is :

0general

a 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 12 sec . what is the length of the platform ?

1physics

mr . karan borrowed a certain amount at 6 % per annum simple interest for 9 years . after 9 years , he returned rs . 8510 / - . find out the amount that he borrowed .

2gain

if the sum of two numbers is 24 and the sum of their squares is 400 , then the product of the numbers is

0general

if the area of a square with sides of length 6 centimeters is equal to the area of a rectangle with a width of 4 centimeters , what is the length of the rectangle , in centimeters ?

3geometry

how many integer values t are there for x such that 1 < 3 x + 5 < 17 ?

0general

the sum of 3 consecutive multiples of 3 is 117 . what is the largest number ?

0general

if the cost price of 81 chocolates is equal to the selling price of 45 chocolates , the gain percent is :

2gain

company z has 50 employees . if the number of employees having birthdays on wednesday is more than the number of employees having birthdays on any other day of the week , each of which have same number of birth - days , what is the minimum number of employees having birthdays on wednesday .

0general

the cost price of an article is 64 % of the marked price . calculate the gain percent after allowing a discount of 18 % ?

2gain

the average age of 39 students in a group is 14 years . when teacher ' s age is included to it , the average increases by one . what is the teacher ' s age in years ?

0general

how many times are the hands of a clock at right angle in 2 weeks ?

3geometry

the membership of a committee consists of 3 english teachers , 4 mathematics teachers , and 2 social studies teachers . if 2 committee members are to be selected at random to write the committee ’ s report , what is the probability that the two members selected will both be maths teachers ?

4probability

in an examination , a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer . if he attempts all 75 questions and secures 125 marks , the number of questions he attempts correctly , is :

1physics

the value of x . 320 ã · 2 ã · 3 = x

0general

v is the volume of a cylinder ; the radius of the cylinder is 3.5 . the height of the cylinder is 650 % more than the radius . which of the following is true ?

3geometry

two employees x and y are paid a total of rs . 580 per week by their employer . if x is paid 120 percent of the sum paid to y , how much is y paid per week ?

0general

two trains of length 120 m and 300 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively . in what time will they be clear of each other from the moment they meet ?

1physics

two trains of length 100 m and 220 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively . in what time will they be clear of each other from the moment they meet ?

1physics

what positive number , when squared , is equal to the cube of the positive square root of 18 ?

3geometry

a train 360 m long is running at a speed of 54 km / hr . in what time will it pass a bridge 140 m long ?

1physics

210 college students were asked in a survey if they preferred windows or mac brand computers . 60 students claimed that they preferred mac to windows brand computers . one third as many of the students who preferred mac to windows , equally preferred both brands . 90 of the students had no preference . how many of the students in the survey preferred windows to mac brand computers ?

5other

if a truck is traveling at a constant rate of 36 kilometers per hour , how many seconds will it take the truck to travel a distance of 600 meters ? ( 1 kilometer = 1000 meters )

1physics

solve this 6 + 7 = 12 8 + 9 = 16 5 + 6 = 10 7 + 8 = 14 then , 3 + 3 = ? ?

0general

| x + 3 | – | 4 - x | = | 8 + x | how many solutions zwill this equation have ?

0general

john and jane went out for a dinner and they ordered the same dish . both used a 10 % discount coupon . john paid a 15 % tip over the original price of the dish , while jane paid the tip over the discounted price for the coupon . if john paid $ 1.26 more than jane , what was the original price of the dish ?

2gain

if 3 / p = 8 & 3 / q = 18 then p - q = ?

0general

a certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 2 of 7 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ?

5other

mohit sold an article for $ 18000 . had he offered a discount of 10 % on the selling price , he would have earned a profit of 8 % . what is the cost price of the article ?

2gain

a is twice as fast as b . if b alone can do a piece of work in 30 days , in what time can a and b together complete the work ?

1physics

a bag contains 3 blue and 5 white marbles . one by one , marbles are drawn out randomly until only two are left in the bag . what is the probability c that out of the two , one is white and one is blue ?

4probability

the total cost of a vacation was divided among 4 people . if the total cost of the vacation had been divided equally among 5 people , the cost per person would have been $ 50 less . what was the total cost cost of the vacation ?

0general

by mixing two brands of coffee and selling the mixture at the rate of $ 177 per kg . a shopkeeper makes a profit of 18 % . if to every 2 kg of one brand costing $ 200 per kg , 3 kg of the other brand is added , then how much per kg does the other brand cost ?

2gain

a courier charges for packages to a certain destination are 65 cents for the first 250 grams and 10 cents for each additional 100 grams or part thereof . what could be the weight in grams of a package for which the charge is $ 1.75 ?

0general

johnny makes $ 6.75 per hour at his work . if he works 10 hours , how much money will he earn ?

1physics

machines x and y produce bottles at their respective constant rates . machine x produces k bottles in 6 hours and machine y produces k bottles in 3 hours . how many hours does it take machines x and y , working simultaneously , to produce 12 k bottles ?

1physics

34 , 45 , 56 , 67,78 , _ ?

0general

a take twice as much time as b or thrice as much time to finish a piece of work . working together , they can finish the work in 4 days . b can do the work alone in ?

1physics

a man purchased 3 blankets @ rs . 100 each , 3 blankets @ rs . 150 each and two blankets at a certain rate which is now slipped off from his memory . but he remembers that the average price of the blankets was rs . 150 . find the unknown rate of two blankets ?

0general

an amount at compound interest sums to rs . 17640 / - in 2 years and to rs . 18522 / - in 3 years at the same rate of interest . find the rate percentage ?

0general

how many integers from 101 to 1000 , inclusive , remains the value unchanged when the digits were reversed ?

0general

when positive integer n is divided by 5 , the remainder is 1 . when n is divided by 7 , the remainder is 3 . what is the smallest positive integer k such that k + n is a multiple of 37 ?

0general