Problem stringlengths 5 967 | category class label 6
classes |
|---|---|
there are 810 male and female participants in a meeting . half the female participants and one - quarterof the male participants are democrats . one - third of all the participants are democrats . how many of the democrats are female ? | 0general |
a square is drawn by joining the mid points of the sides of a given square in the same way and this process continues indefinitely . if a side of the first square is 4 cm , determine the sum of the areas all the square . | 3geometry |
find the greatest number of 5 digits which is exactly divisible by 12 , 15 and 18 ? | 0general |
kim has 4 pairs of shoes ; each pair is a different color . if kim randomly selects 2 shoes without replacement from the 8 shoes , what is the probability that she will select 2 shoes of the same color ? | 4probability |
the number 110 can be written as the sum of the squares of 3 different positive integers . what is the sum of these 3 integers ? | 3geometry |
in an examination , 20 % of total students failed in hindi , 70 % failed in english and 10 % in both . the percentage of these who passed in both the subjects is : | 0general |
the tax on a commodity is diminished by 25 % and its consumption increased by 13 % . the effect on revenue is ? | 0general |
the famous denali star train starts from anchorge & travels towards fair banksat speed 50 mph . after some time another train glacier discovery train ( at parallel track ) at fair banks and moves towards anchorge at a speed of 70 mph . both the trains denali star & glacier discovery have a length 1 / 6 miles each . after the trains meet how many seconds will faster train take to overtake the slower one ? | 1physics |
the area of a square is equal to twice the area of a rectangle of dimensions 32 cm * 64 cm . what is the perimeter of the square ? | 3geometry |
how many positive integers between 1 and 300 are there such that they are multiples of 21 ? | 0general |
if p , q , and r are distinct positive digits and the product of the two - digit integers pq and pr is 221 , what is the sum of the digits p , q , and r ? | 0general |
p and q invested in a business . the profit earned was divided in the ratio 3 : 4 . if p invested rs 50000 , the amount invested by q is | 2gain |
the end of a blade on an airplane propeller is 20 feet from the center . if the propeller spins at the rate of 1,320 revolutions per second , how many miles will the tip of the blade travel in one minute ? ( 1 mile = 5,280 feet ) | 1physics |
car a runs at the speed of 65 km / hr & reaches its destination in 8 hr . car b runs at the speed of 70 km / h & reaches its destination in 4 h . what is the respective ratio of distances covered by car a & car b ? | 1physics |
two cards are drawn together from a pack of 52 cards . the probability that one is a spade and one is a heart , is : | 4probability |
how many positive integers less than 50 are there such that they are multiples of 9 ? | 0general |
pat , kate and mark charged a total of 189 hours to a certain project . if pat charged twice as much time to the project as kate and 1 / 3 as much times as mark , how many more hours did mark charge to the project than kate . | 0general |
a part of certain sum of money is invested at 9 % per annum and the rest at 18 % per annum , if the interest earned in each case for the same period is equal , then ratio of the sums invested is ? | 2gain |
find the amount on rs . 5000 in 2 years , the rate of interest being 10 % per first year and 12 % for the second year ? | 2gain |
ray writes a two digit number . he sees that the number exceeds 4 times the sum of its digits by 3 . if the number is increased by 18 , the result is the same as the number formed by reversing the digits . find the sum of the digits of the number . | 0general |
1000 men have provisions for 15 days . if 200 more men join them , for how many days will the provisions last now ? | 1physics |
a circle graph shows how the budget of a certain company was spent : 15 percent for transportation , 9 percent for research and development , 5 percent for utilities , 4 percent for equipment , 2 percent for supplies , and the remainder for salaries . if the area of each sector of the graph is proportional to the percent of the budget it represents , how many degrees of the circle are used to represent salaries ? | 3geometry |
the area of a rectangular field is equal to 750 square meters . its perimeter is equal to 110 meters . find the width of this rectangle . | 3geometry |
a number increased by 10 % gives 660 . the number is ? | 2gain |
working simultaneously and independently at an identical constant rate , 10 machines of a certain type can produce a total of x units of product p in 4 days . how many of these machines , working simultaneously and independently at this constant rate , can produce a total of 3 x units of product p in 6 days ? | 0general |
the average of first five prime numbers greater than 3 is ? | 0general |
the length of a train and that of a platform are equal . if with a speed of 90 k / hr , the train crosses the platform in one minute , then the length of the train ( in meters ) is ? | 1physics |
the average age of students of a class is 15.7 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 the rectangular coordinate system , points ( 5 , 0 ) and ( – 5 , 0 ) both lie on circle c . what is the maximum possible value of the radius of c ? | 3geometry |
train a leaves the station traveling at 30 miles per hour . two hours later train в leaves the same station traveling in the same direction at 42 miles per hour . how many miles from the station was train a overtaken by train b ? | 1physics |
what sum of money will produce rs . 70 as simple interest in 5 years at 3 1 / 2 percent ? | 2gain |
what is the hcf of 2 / 3 , 5 / 9 and 6 / 5 | 0general |
the h . c . f . of two numbers is 38 and the other two factors of their l . c . m . are 12 and 10 . the larger of the two numbers is : | 5other |
robert ate 9 chocolates , nickel ate 2 chocolates . how many more chocolates did robert ate than nickel ? | 0general |
the area of a circle is increased by 800 % . by what percent has the diameter of the circle increased ? | 3geometry |
3 boys are ages 4 , 6 and 7 respectively . 3 girls are ages 5 , 8 and 9 , respectively . if two of the boys and two of the girls are randomly selected and the sum of the selected children ' s ages is q , what is the difference between the probability that q is even and the probability that q is odd ? | 0general |
if 4 xz + yw = 4 and xw + yz = 8 , what is the value of the expression ( 2 x + y ) ( 2 z + w ) ? | 0general |
some of 50 % - intensity red paint is replaced with 25 % solution of red paint such that the new paint intensity is 40 % . what fraction of the original paint was replaced ? | 2gain |
in 10 years , a will be twice as old 5 as b was 10 years ago . if a is now 7 years older than b , the present age of b is | 0general |
the distance between 2 cities a and b is 1000 km . a train starts from a at 9 a . m . and travels towards b at 100 km / hr . another starts from b at 10 a . m . and travels towards a at 150 km / hr . at what time do they meet ? | 1physics |
sachin is younger than rahul by 14 years . if the ratio of their ages is 7 : 9 , find the age of sachin | 5other |
the number x of cars sold each week varies with the price y in dollars according to the equation x = 800000 – 50 y . what would be the total weekly revenue w , in dollars , from the sale of cars priced at $ 15000 ? | 0general |
two varieties of steel , a and b , have a ratio of iron to chromium as 5 : 1 and 7 : 2 , respectively . steel c is produced by mixing alloys a and b at a ratio of 3 : 2 . what is the ratio of iron to chromium in c ? | 5other |
what is the last digit in the product ( 3 ^ 65 x 6 ^ 59 x 7 ^ 71 ) | 0general |
there are 11 boys and 10 girls in a class . if three students are selected at random , in how many ways that 3 girl & 2 boys are selected ? | 4probability |
two goods trains each 400 m long are running in opposite directions on parallel tracks . their speeds are 45 km / hr and 30 km / hr respectively . find the time taken by the slower train to pass the driver of the faster one ? | 1physics |
find the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 13 cm | 1physics |
a man purchased 3 blankets @ rs . 200 each , 5 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 |
how many positive integers less than 5,000 are evenly divisible by neither 15 nor 22 ? | 0general |
a man buys a cycle for rs . 1800 and sells it at a loss of 25 % . what is the selling price of the cycle ? | 2gain |
a man goes from a to b at a speed of 60 kmph and comes back to a at a speed of 40 kmph . find his average speed for the entire journey ? | 1physics |
5358 x 54 = ? | 0general |
a basketball is dropped from a height of 20 feet . if it bounces back up to a height that is exactly half of its previous height , and it stops bouncing after hitting the ground for the fourth time , then how many total feet will the ball have traveled after 2 full bounces . | 0general |
a 200 meter long train crosses a man standing on the platform in 9 sec . what is the speed of the train ? | 1physics |
find the area of a parallelogram with base 32 cm and height 14 cm ? | 3geometry |
raman mixed 44 kg of butter at rs . 150 per kg with 36 kg butter at the rate of rs . 125 per kg . at what price per kg should he sell the mixture to make a profit of 40 % in the transaction ? | 2gain |
the average age of 42 students in a group is 16 years . when teacher â € ™ s age is included to it , the average increases by one . what is the teacher â € ™ s age in years ? | 0general |
the l . c . m of two numbers is 2310 and their h . c . f is 30 . if one number is 231 the other is | 1physics |
hcf and lcm two numbers are 12 and 396 respectively . if one of the numbers is 24 , then the other number is ? | 1physics |
company kw is being sold , and both company a and company b were considering the purchase . the price of company kw is 30 % more than company a has in assets , and this same price is also 100 % more than company b has in assets . if companies a and b were to merge and combine their assets , the price of company kw would be approximately what percent of these combined assets ? | 2gain |
two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 24 kmph and 21 kmph respectively . when they meet , it is found that one train has traveled 60 km more than the other one . the distance between the two stations is ? | 1physics |
what is the sum of the greatest common factor and the lowest common multiple of 48 and 72 ? | 0general |
the ration of the number of boys and girls in a college is 2 : 3 . if the percentage is increase in the number of boys and girls be 10 % and 20 % respectively . what will be the new ration ? | 2gain |
how many positive integers between 1 and 100 are there such that they are multiples of 13 ? | 0general |
in the xy - coordinate plane , the graph of y = - x ^ 2 + 9 intersects line l at ( p , 4 ) and ( t , - 7 ) . what is the least possible value of the slope of line l ? | 0general |
a chemist mixes one liter of pure water with x liters of a 45 % salt solution , and the resulting mixture is a 15 % salt solution . what is the value of x ? | 2gain |
the average weight of 5 person ' s increases by 10.0 kg when a new person comes in place of one of them weighing 40 kg . what might be the weight of the new person ? | 0general |
two trains 140 m and 170 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time which they take to cross each other is ? | 1physics |
the units digit of ( 3 ) ^ ( 44 ) + ( 10 ) ^ ( 46 ) is : | 0general |
if a ( a + 8 ) = 9 and b ( b + 8 ) = 9 , where a ≠ b , then a + b = | 0general |
what is the thousandths digit in the decimal equivalent of 66 / 5000 ? | 0general |
a contractor undertook to do a piece of work in 6 days . he employed certain number of laboures but 7 of them were absent from the very first day and the rest could finish the work in only 10 days . find the number of men originally employed ? | 1physics |
a container holding 12 ounces of a solution that is 1 part alcohol to 2 parts water is added to a container holding 8 ounces of a solution that is 1 part alcohol to 3 parts water . what is the ratio of alcohol to water in the resulting solution ? | 5other |
the inside dimensions of a rectangular wooden box are 4 meters by 5 meters by 6 meters . a cylindrical drum is to be placed inside the box so that it stands upright when the closed box rests on one of its six faces . of all such drums that could be used , what is the volume , in cubic meters , of the one that has maximum volume ? | 3geometry |
there are some people in party , 1 / 3 rd left the party . then 2 / 5 th of the remaining left the party , then 2 / 3 rd of the remaining left the party . at last 10 were remaining . how many people were in total ? | 0general |
the hcf of two numbers is 40 and the other two factors of their lcm are 11 and 12 . what is the largest number . | 5other |
bert and rebecca were looking at the price of a condominium . the price of the condominium was 110 % more than bert had in savings , and separately , the same price was also 20 % more than rebecca had in savings . what is the ratio of what bert has in savings to what rebecca has in savings . | 2gain |
at what rate percent on simple interest will rs . 800 amount to rs . 950 in 5 years ? | 2gain |
in a school with 5 classes , each class has 2 students less than the previous class . how many students are there in the largest class if the total number of students at school is 115 ? | 0general |
the length of 3 ropes are in the ratio 4 : 5 : 6 . if the sum of the weights of the longest and the shortest rope is 100 metres more than the length of the third rope , what is the length of the shortest rope ? | 0general |
on a ranch , a rancher can place a loop of rope , called a lasso , once in every 2 throws around a cow ’ s neck . what is the probability that the rancher will be able to place a lasso around a cow ’ s neck at least once in 6 attempts ? | 4probability |
two pipes can fill the cistern in 10 hr and 12 hr respectively , while the third empty it in 50 hr . if all pipes are opened simultaneously , then the cistern will be filled in | 1physics |
9 people decided to split the restaurant bill evenly . if the bill was $ 514.16 dollars , how much money did they 1 cent is the smallest unit ? | 0general |
a certain car increased its average speed by 5 miles per hour in each successive 5 - minute interval after the first interval . if in the first 5 - minute interval its average speed was 26 miles per hour , how many miles did the car travel in the third 5 - minute interval ? | 1physics |
there are 13 boys and 10 girls in a class . if three students are selected at random , in how many ways that 1 girl & 2 boys are selected ? | 4probability |
the grade point average of the entire class is 84 . if the average of one fourth of the class is 96 , what is the average of the rest of the class ? | 0general |
the average weight of 19 students is 15 kg . by the admission of a new student the average weight is reduced to 14.2 kg . the weight of the new student is ? | 0general |
if a student loses 6 kilograms , he will weigh twice as much as his sister . together they now weigh 132 kilograms . what is the student ' s present weight in kilograms ? | 5other |
an ant walks an average of 600 meters in 10 minutes . a beetle walks 25 % less distance at the same time on the average . assuming the beetle walks at her regular rate , what is its speed in km / h ? | 0general |
the width of a rectangular hall is ½ of its length . if the area of the hall is 578 sq . m , what is the difference between its length and breadth ? | 3geometry |
how long does a train 165 meters long running at the rate of 90 kmph take to cross a bridge 660 meters in length ? | 1physics |
a boat having a length 3 m and breadth 2 m is floating on a lake . the boat sinks by 1 cm when a man gets on it . the mass of man is | 1physics |
how many different pairs of numbers ( s , t ) such that s = 3 t can be obtained if s and t are selected from the set of number { 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 } | 4probability |
in one alloy there is 10 % chromium while in another alloy it is 8 % . 15 kg of the first alloy was melted together with 35 kg of the second one to form a third alloy . find the percentage of chromium in the new alloy . | 2gain |
on a certain date , pat invested $ 10,000 at x percent annual interest , compounded annually . if the total value of the investment plus interest at the end of 12 years will be $ 40,000 , in how many years , the total value of the investment plus interest will increase to $ 80,000 ? | 0general |
in a river flowing at 2 km / hr , a boat travels 32 km upstream and then returns downstream to the starting point . if its speed in still water be 6 km / hr , find the total journey time . | 0general |
a bowl of nuts is prepared for a party . brand p mixed nuts are 20 % almonds and brand q ' s deluxe nuts are 25 % almonds . if a bowl contains a total of 66 ounces of nuts , representing a mixture of both brands , and 15 ounces of the mixture are almonds , how many ounces of brand q ' s deluxe mixed nuts are used ? | 0general |
what is the units digit of ( 6 ! * 4 ! + 6 ! * 5 ! ) / 6 ? | 0general |
if x and y are sets of integers , x # y denotes the set of integers that belong to set x or set y , but not both . if x consists of 8 integers , y consists of 10 integers , and 6 of the integers are in both x and y , then x # y consists of how many integers ? | 5other |
the mean of 50 observations was 36 . it was found later that an observation 48 was wrongly taken as 21 . the corrected new mean is : | 0general |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.