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

Problem stringlengths 5 967	category class label 6 classes
what is the sum of the integers from - 190 to 191 inclusive ?	0general
9000 + 16 2 / 3 % of ? = 10500	0general
the ratio of the cost price and selling price is 2 : 3 . the profit percent is ?	2gain
10 is 6 % of a , and 6 is 10 % of b . c equals b / a . what is the value of c ?	0general
the slant height of a cone is 12 cm and radius of the base is 4 cm , find the curved surface of the cone ?	3geometry
points a , b , c , and d , in that order , lie on a line . if ab = 2 cm , ac = 5 cm , and bd = 6 cm , what is cd , in centimeters ?	1physics
in assembling a bluetooth device , a factory uses one of two kinds of modules . one module costs $ 8 and the other one , that is cheaper , costs $ 3 . the factory holds a $ 100 worth stock of 25 modules . how many of the modules in the stock are of the cheaper kind ?	5other
a sum of money is to be distributed among a , b , c , d in the proportion of 5 : 2 : 4 : 3 . if c gets rs . 500 more than d , what is b ' s share ?	0general
due to construction , the speed limit along an 10 - mile section of highway is reduced from 55 miles per hour to 20 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
in a rectangular coordinate system , what is the area of a rhombus whose vertices have the coordinates ( 0 , 3.5 ) , ( 11 , 0 ) , ( 0 , - 3.5 ) , ( - 11 , 0 ) ?	3geometry
a 21 % stock yielding 10 % is quoted at :	2gain
which no . need to add to 859622 to get a no . exactly divisible by 456 ?	0general
right triangle abc is to be drawn in the xy - plane so that the right angle is at a and ab is parallel to the y - axis . if the x - and y - coordinates of a , b , and c are to be integers that are consistent with the inequalities - 4 ≤ x ≤ 2 and 4 ≤ y ≤ 9 , then how many different triangles can be drawn that will meet these conditions ?	3geometry
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 135 male associates , how many female managers are there ?	0general
a sum of money amounts to rs . 9800 after 5 years and rs . 12005 after 8 years at the same rate of simple interest . the rate of interest per annum is	2gain
if 3 / p = 5 & 3 / q = 15 then p - q = ?	0general
a invested some money in 8 % stock at 96 . if b wants to invest in an equally good 10 % stock , he must purchase a stock worth of :	2gain
how many digits 2 ^ 400 has ?	0general
a committee is reviewing a total of 40 x black - and - white films and 4 y color films for a festival . if the committee selects y / x % of the black - and - white films and all of the color films , what fraction of the selected films are in color ?	0general
a worker ' s take - home pay last year was the same each month , and she saved the same fraction of her take - home pay each month . the total amount of money that she had saved at the end of the year was 8 times the amount of that portion of her monthly take - home pay that she did not save . if all the money that she saved last year was from her take - home pay , what fraction of her take - home pay did she save each month ?	0general
if x is equal to the sum of the integers from 50 to 70 , inclusive , and y is the number of even integers from 50 to 70 , inclusive , what is the value of x + y ?	0general
12 times a positive integer is more than its square by 36 , then the positive integer is	0general
renu can do a piece of work in 8 days , but with the help of her friend suma , she can do it in 4 days . in what time suma can do it alone ?	1physics
90 percent of the members of a study group are women , and 60 percent of those women are lawyers . if one member of the study group is to be selected at random , what is the probability that the member selected is a woman lawyer ?	2gain
a train covers a distance of 12 km in 10 min . if it takes 12 sec to pass a telegraph post , then the length of the train is ?	1physics
a new home buyer pays 4 % annual interest on her first mortgage and 9 % annual interest on her second mortgage . if she borrowed a total of $ 310000 , 80 % of which was in the first mortgage , what is her approximate monthly interest payment ?	0general
x and y started a business by investing rs . 5000 / - and rs . 15000 / - respectively . find the x ’ s share out of a total profit of rs . 1600 :	0general
if money is invested at r percent interest , compounded annually , the amount of the investment will double in approximately 48 / r years . if pat ' s parents invested $ 5,000 in a long - term bond that pays 8 percent interest , compounded annually , what will be the approximate total amount of the investment 18 years later , when pat is ready for college ?	0general
how many multiples of 7 are there between 9 and 89 , 9 and 89 inclusive ?	0general
5 men are equal to as many women as are equal to 7 boys . all of them earn rs . 90 only . men ’ s wages are ?	0general
when positive integer n is divided by 4 , the remainder is 2 . when n is divided by 7 , the remainder is 5 . how many values less than 100 can n take ?	0general
the area of a triangle is with base 8.4 m and height 5.8 m ?	3geometry
if p ( a ) = 8 / 15 , p ( b ) = 4 / 15 , and p ( a â ˆ ª b ) = 16 / 15 find p ( b \| a )	0general
the speed of a car is 90 km in the first hour and 42 km in the second hour . what is the average speed of the car ?	1physics
if the sum of the first n positive integers is s , what is the sum of the first n positive integers divisible by 4 , in terms of s ?	0general
in how many ways can the integer 48 be expressed as a product of two different positive integers ?	0general
if w is 40 percent less than x , x is 40 percent less than y , and z is 46 percent less than y , then z is greater than w by what percent of w ?	0general
a boatman goes 2 km against the current of the stream in 2 hour and goes 1 km along the current in 20 minutes . how long will it take to go 5 km in stationary water ?	1physics
the amount of principal rs . 8000 at compound interest at the ratio of 5 % p . a . for 5 years is	2gain
pencils , pens and exercise books in a shop are in the ratio of 14 : 4 : 3 . if there are 140 pencils , the number of exercise books in the shop is :	5other
a train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 16 seconds . what is the length of the platform in meters ?	1physics
in a quiz the points in each round for the first , second , third and fourth position were 10050 , 2010 . no other points were given . rachel participated in several rounds in the competition and the product of her score was 10000 . in how many rounds did she participate ?	1physics
how many positive integers less than 50 have a reminder 2 when divided by 7 ?	0general
the length of the rectangular field is double its width . inside the field there is square shaped pond 8 m long . if the area of the pond is 1 / 2 of the area of the field . what is the length of the field ?	3geometry
how many three digit numbers n are divisible by 78 or 91 ?	0general
in one hour , a boat goes 11 km along the stream and 5 km against the stream . the sped of the boat in still water ( in km / hr ) is :	2gain
arnold and danny are two twin brothers that are celebrating their birthday . the product of their ages today is smaller by 5 from the product of their ages a year from today . what is their age today ?	0general
a and b go around a circular track of length 900 m on a cycle at speeds of 36 kmph and 54 kmph . after how much time will they meet for the first time at the starting point ?	1physics
working together , jose and jane can complete an assigned task in 12 days . however , if jose worked alone and complete half the work and then jane takes over the task and completes the second half of the task , the task will be completed in 48 days . how long will jose take to complete the task if he worked alone ? assume that jane is more efficient than jose	1physics
one fourth of one third of two fifth of a number is 15 . what will be the 40 % of that number is ?	2gain
the ages of ashley and mary are in the ratio 4 : 7 . the sum of their ages is 22 . find the ages of ashley .	0general
two cyclist start on a circular track from a given point but in opposite direction with speeds of 7 m / s and 8 m / s . if the circumference of the circle is 180 meters , after what time will they meet at the starting point ?	1physics
a clock shows the time as 12 a . m . if the minute hand gains 5 minutes every hour , how many minutes will the clock gain by 6 p . m . ?	1physics
what will be the cost of building a fence around a square plot with area equal to 36 sq ft , if the price per foot of building the fence is rs . 58 ?	3geometry
a person want to give his money of $ 4500 to his 4 children a , b , c , d in the ratio 2 : 4 : 5 : 4 . what is the a + b share ?	5other
if the price of a certain computer increased 30 percent from y dollars to 351 dollars , then 2 y =	0general
if price of t . v set is reduced by 22 % , then its sale increases by 86 % , find net effect on sale value	2gain
there are 76 lights which are functional and each is controlled by a separate on / off switch . two children a and b start playing with the switches . a starts by pressing every third switch till he reaches the end . b , thereafter , presses every fifth switch till he too reaches the end . if all switches were in off position at the beggining , how many lights are switched on by the end of this operation ?	5other
each month , after jill pays for rent , utilities , food , and other necessary expenses , she has one fifth of her net monthly salary left as discretionary income . of this discretionary income , she puts 30 % into a vacation fund , 20 % into savings , and spends 35 % on eating out and socializing . this leaves her with $ 99 dollar , which she typically uses for gifts and charitable causes . what is jill ’ s net monthly salary ?	2gain
a goat is tied to one corner of a square plot of side 12 m by a rope 7 m long . find the area it can graze ?	3geometry
a retailer bought a hat at wholesale and marked it up 60 % to its initial price of $ 24 . by how many more dollars does he need to increase the price to achieve a 100 % markup ?	0general
the cube root of . 000343 is	3geometry
a crow leaves its nest , and flies back and forth from its nest to a nearby ditch to gather worms . the distance between the nest and the ditch is 200 meters . in one and a half hours , the crow manages to bring worms to its nest 15 times . what is the speed of the crow in kilometers per hour ?	1physics
3 seventh of a number is 12 more than 40 % of that number . what will be the 30 % of that number ?	2gain
find last digits of ( 1023 ^ 3923 ) + ( 3081 ^ 3921 )	0general
the sum of 4 consecutive even numbers is 36 . find the sum of the squares of these numbers ?	1physics
two trains , each 150 m long , moving in opposite directions , cross other in 8 sec . if one is moving twice as fast the other , then the speed of the faster train is ?	1physics
with an average speed of 40 km / hr a car reaches its destination on time . if it goes with an average speed of 35 km / h , it is late by 15 minutes . the total journey is ?	0general
find the remainder q when 12 ^ 190 is divided by 1729 ?	0general
how much 70 % of 100 is greater than 60 % of 80 ?	2gain
the main line train starts at 5.00 am and the harbor line train starts at 5.02 am . each train has the frequency of 10 minutes . if a guy goes in the morning at a random time what is the probability of he getting main line train ?	4probability
an uneducated retailer marks all his goods at 60 % above the cost price and thinking that he will still make 25 % profit , offers a discount of 25 % on the marked price . what is his actual profit on the sales ?	2gain
a plane flies 420 miles with the wind and 350 miles against the wind in the same length of time . if the speed of the wind is 23 mph , what is the speed of the plain in still air ?	1physics
rs 80000 is divided into two parts one part is given to a person with 10 % interest and another part is given to a person with 20 % interest . at the end of first year he gets profit 9000 find money given by 10 % ?	2gain
at the end of year x , automobile installment credit accounted for 43 % of all outstanding consumer installment credit . at that time automobile finance companies extended $ 50 billion of credit , or 1 / 4 of the automobile installment credit . how many billion dollars of consumer installment credit was outstanding at that time ?	0general
what is the lowest positive integer that is divisible by 1 through 3 , inclusive ?	0general
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 $ 1.85 ?	0general
during a certain two - week period , 60 percent of the movies rented from a video store were comedies , and of the remaining movies rented , there were 4 times as many dramas as action movies . if no other movies were rented during that two - week period and there were a action movies rented , then how many comedies , in terms of a , were rented during that two - week period ?	0general
a fruit seller sells mangoes at the rate of rs . 9 per kg and thereby loses 20 % . at what price per kg , he should have sold them to make a profit of 5 %	2gain
if 21 / 22 = 0 . 95.45 , what is the 57 th digit to the right of the decimal point of the fraction ?	0general
an army ’ s recruitment process included n rounds of selection tasks . for the first a rounds , the rejection percentage was 60 percent per round . for the next b rounds , the rejection percentage was 50 percent per round and for the remaining rounds , the selection percentage was 70 percent per round . if there were 20000 people who applied for the army and 196 were finally selected , what was the value of n ?	0general
how many multiples of 5 are there between 50 and 500 ?	0general
two stations a and b are 110 km apart on a straight line . one train starts from a at 4 a . m . and travels towards b at 20 kmph . another train starts from b at 8 a . m . and travels towards a at a speed of 25 kmph . at what time will they meet ?	1physics
the height of the wall is 6 times its width and lenght of the wall is 7 times its height . if the volume of the wall be 16128 cu . m . its width is	1physics
find the sum of all odd numbers upto 100 .	0general
two stations p and q are 110 km apart on a straight track . one train starts from p at 7 a . m . and travels towards q at 20 kmph . another train starts from q at 8 a . m . and travels towards p at a speed of 25 kmph . at what time will they meet ?	1physics
a milk man has 10 liters of milk . if he mixes 5 liters of water , which is freely available , in 20 liters of pure milk . if the cost of pure milk is rs . 18 per liter , then the profit of the milkman , when he sells all the mixture at cost price is :	2gain
if * stands for / , / stands for - , + stands for * and - stands for + , then 9 / 8 * 7 + 5 - 10 = ?	0general
hcf and lcm two numbers are 12 and 396 respectively . if one of the numbers is 36 , then the other number is ?	1physics
what is the tens digit of 36 ^ 30 ?	0general
a 4 digit number is such that the product of all of its digits is 126 . the sum of all the digits is equal to the 2 digit number formed by using thousands digit and tens digit ( 1000 digit in tens place & 10 digit in units place ) which in turn is equal to 19 . then difference of units and 1000 place of the number is , given that this difference is positive .	0general
p and q started a business investing rs . 54,000 and rs . 18,000 respectively . in what ratio the profit earned after 2 years be divided between p and q respectively ?	2gain
a man loses 1 / 3 rd of his money , then wins rs . 10 loses 1 / 3 rd of what he has and wins rs . 20 and finds that he has exactly what be had at the beginning . what was the amount he originally bad ?	0general
what is the probability of getting sum of 10 on rolling three dices ?	4probability
for any integer n greater than 1 , # n denotes the product of all the integers from 1 to n , inclusive . how many prime numbers are there between # 6 + 2 and # 6 + 6 , inclusive ?	0general
a carpenter worked alone for 1 day on a job that would take him 6 more days to finish . he and another carpenter completed the job in 7 more days . how many days would it have taken the second carpenter to do the complete job working alone ?	1physics
if 4 is the remainder when m is divided by 10 , what is the remainder when 4 m is divided by 10 ?	1physics
for an agricultural experiment , 300 seeds were planted in one plot and 200 were planted in a second plot . if exactly 25 percent of the seeds in the first plot germinated and exactly 35 percent of the seeds in the second plot germinated , what percent of the total number of seeds germinated ?	0general
on the first day of her vacation , louisa traveled 240 miles . on the second day , traveling at the same average speed , she traveled 420 miles . if the 240 - mile trip took 3 hours less than the 420 - mile trip , what was the average speed , in miles per hour ?	1physics
the number of positive integers n in the range 12 ≤ n ≤ 40 such that the product ( n − 1 ) ( n − 2 ) . . . 3 . 2.1 is not divisible by n is	0general

what is the sum of the integers from - 190 to 191 inclusive ?

0general

9000 + 16 2 / 3 % of ? = 10500

0general

the ratio of the cost price and selling price is 2 : 3 . the profit percent is ?

2gain

10 is 6 % of a , and 6 is 10 % of b . c equals b / a . what is the value of c ?

0general

the slant height of a cone is 12 cm and radius of the base is 4 cm , find the curved surface of the cone ?

3geometry

points a , b , c , and d , in that order , lie on a line . if ab = 2 cm , ac = 5 cm , and bd = 6 cm , what is cd , in centimeters ?

1physics

in assembling a bluetooth device , a factory uses one of two kinds of modules . one module costs $ 8 and the other one , that is cheaper , costs $ 3 . the factory holds a $ 100 worth stock of 25 modules . how many of the modules in the stock are of the cheaper kind ?

5other

a sum of money is to be distributed among a , b , c , d in the proportion of 5 : 2 : 4 : 3 . if c gets rs . 500 more than d , what is b ' s share ?

0general

due to construction , the speed limit along an 10 - mile section of highway is reduced from 55 miles per hour to 20 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

in a rectangular coordinate system , what is the area of a rhombus whose vertices have the coordinates ( 0 , 3.5 ) , ( 11 , 0 ) , ( 0 , - 3.5 ) , ( - 11 , 0 ) ?

3geometry

a 21 % stock yielding 10 % is quoted at :

2gain

which no . need to add to 859622 to get a no . exactly divisible by 456 ?

0general

right triangle abc is to be drawn in the xy - plane so that the right angle is at a and ab is parallel to the y - axis . if the x - and y - coordinates of a , b , and c are to be integers that are consistent with the inequalities - 4 ≤ x ≤ 2 and 4 ≤ y ≤ 9 , then how many different triangles can be drawn that will meet these conditions ?

3geometry

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 135 male associates , how many female managers are there ?

0general

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

2gain

if 3 / p = 5 & 3 / q = 15 then p - q = ?

0general

a invested some money in 8 % stock at 96 . if b wants to invest in an equally good 10 % stock , he must purchase a stock worth of :

2gain

how many digits 2 ^ 400 has ?

0general

a committee is reviewing a total of 40 x black - and - white films and 4 y color films for a festival . if the committee selects y / x % of the black - and - white films and all of the color films , what fraction of the selected films are in color ?

0general

a worker ' s take - home pay last year was the same each month , and she saved the same fraction of her take - home pay each month . the total amount of money that she had saved at the end of the year was 8 times the amount of that portion of her monthly take - home pay that she did not save . if all the money that she saved last year was from her take - home pay , what fraction of her take - home pay did she save each month ?

0general

if x is equal to the sum of the integers from 50 to 70 , inclusive , and y is the number of even integers from 50 to 70 , inclusive , what is the value of x + y ?

0general

12 times a positive integer is more than its square by 36 , then the positive integer is

0general

renu can do a piece of work in 8 days , but with the help of her friend suma , she can do it in 4 days . in what time suma can do it alone ?

1physics

90 percent of the members of a study group are women , and 60 percent of those women are lawyers . if one member of the study group is to be selected at random , what is the probability that the member selected is a woman lawyer ?

2gain

a train covers a distance of 12 km in 10 min . if it takes 12 sec to pass a telegraph post , then the length of the train is ?

1physics

a new home buyer pays 4 % annual interest on her first mortgage and 9 % annual interest on her second mortgage . if she borrowed a total of $ 310000 , 80 % of which was in the first mortgage , what is her approximate monthly interest payment ?

0general

x and y started a business by investing rs . 5000 / - and rs . 15000 / - respectively . find the x ’ s share out of a total profit of rs . 1600 :

0general

if money is invested at r percent interest , compounded annually , the amount of the investment will double in approximately 48 / r years . if pat ' s parents invested $ 5,000 in a long - term bond that pays 8 percent interest , compounded annually , what will be the approximate total amount of the investment 18 years later , when pat is ready for college ?

0general

how many multiples of 7 are there between 9 and 89 , 9 and 89 inclusive ?

0general

5 men are equal to as many women as are equal to 7 boys . all of them earn rs . 90 only . men ’ s wages are ?

0general

when positive integer n is divided by 4 , the remainder is 2 . when n is divided by 7 , the remainder is 5 . how many values less than 100 can n take ?

0general

the area of a triangle is with base 8.4 m and height 5.8 m ?

3geometry

if p ( a ) = 8 / 15 , p ( b ) = 4 / 15 , and p ( a â ˆ ª b ) = 16 / 15 find p ( b | a )

0general

the speed of a car is 90 km in the first hour and 42 km in the second hour . what is the average speed of the car ?

1physics

if the sum of the first n positive integers is s , what is the sum of the first n positive integers divisible by 4 , in terms of s ?

0general

in how many ways can the integer 48 be expressed as a product of two different positive integers ?

0general

if w is 40 percent less than x , x is 40 percent less than y , and z is 46 percent less than y , then z is greater than w by what percent of w ?

0general

a boatman goes 2 km against the current of the stream in 2 hour and goes 1 km along the current in 20 minutes . how long will it take to go 5 km in stationary water ?

1physics

the amount of principal rs . 8000 at compound interest at the ratio of 5 % p . a . for 5 years is

2gain

pencils , pens and exercise books in a shop are in the ratio of 14 : 4 : 3 . if there are 140 pencils , the number of exercise books in the shop is :

5other

a train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 16 seconds . what is the length of the platform in meters ?

1physics

in a quiz the points in each round for the first , second , third and fourth position were 10050 , 2010 . no other points were given . rachel participated in several rounds in the competition and the product of her score was 10000 . in how many rounds did she participate ?

1physics

how many positive integers less than 50 have a reminder 2 when divided by 7 ?

0general

the length of the rectangular field is double its width . inside the field there is square shaped pond 8 m long . if the area of the pond is 1 / 2 of the area of the field . what is the length of the field ?

3geometry

how many three digit numbers n are divisible by 78 or 91 ?

0general

in one hour , a boat goes 11 km along the stream and 5 km against the stream . the sped of the boat in still water ( in km / hr ) is :

2gain

arnold and danny are two twin brothers that are celebrating their birthday . the product of their ages today is smaller by 5 from the product of their ages a year from today . what is their age today ?

0general

a and b go around a circular track of length 900 m on a cycle at speeds of 36 kmph and 54 kmph . after how much time will they meet for the first time at the starting point ?

1physics

working together , jose and jane can complete an assigned task in 12 days . however , if jose worked alone and complete half the work and then jane takes over the task and completes the second half of the task , the task will be completed in 48 days . how long will jose take to complete the task if he worked alone ? assume that jane is more efficient than jose

1physics

one fourth of one third of two fifth of a number is 15 . what will be the 40 % of that number is ?

2gain

the ages of ashley and mary are in the ratio 4 : 7 . the sum of their ages is 22 . find the ages of ashley .

0general

two cyclist start on a circular track from a given point but in opposite direction with speeds of 7 m / s and 8 m / s . if the circumference of the circle is 180 meters , after what time will they meet at the starting point ?

1physics

a clock shows the time as 12 a . m . if the minute hand gains 5 minutes every hour , how many minutes will the clock gain by 6 p . m . ?

1physics

what will be the cost of building a fence around a square plot with area equal to 36 sq ft , if the price per foot of building the fence is rs . 58 ?

3geometry

a person want to give his money of $ 4500 to his 4 children a , b , c , d in the ratio 2 : 4 : 5 : 4 . what is the a + b share ?

5other

if the price of a certain computer increased 30 percent from y dollars to 351 dollars , then 2 y =

0general

if price of t . v set is reduced by 22 % , then its sale increases by 86 % , find net effect on sale value

2gain

there are 76 lights which are functional and each is controlled by a separate on / off switch . two children a and b start playing with the switches . a starts by pressing every third switch till he reaches the end . b , thereafter , presses every fifth switch till he too reaches the end . if all switches were in off position at the beggining , how many lights are switched on by the end of this operation ?

5other

each month , after jill pays for rent , utilities , food , and other necessary expenses , she has one fifth of her net monthly salary left as discretionary income . of this discretionary income , she puts 30 % into a vacation fund , 20 % into savings , and spends 35 % on eating out and socializing . this leaves her with $ 99 dollar , which she typically uses for gifts and charitable causes . what is jill ’ s net monthly salary ?

2gain

a goat is tied to one corner of a square plot of side 12 m by a rope 7 m long . find the area it can graze ?

3geometry

a retailer bought a hat at wholesale and marked it up 60 % to its initial price of $ 24 . by how many more dollars does he need to increase the price to achieve a 100 % markup ?

0general

the cube root of . 000343 is

3geometry

a crow leaves its nest , and flies back and forth from its nest to a nearby ditch to gather worms . the distance between the nest and the ditch is 200 meters . in one and a half hours , the crow manages to bring worms to its nest 15 times . what is the speed of the crow in kilometers per hour ?

1physics

3 seventh of a number is 12 more than 40 % of that number . what will be the 30 % of that number ?

2gain

find last digits of ( 1023 ^ 3923 ) + ( 3081 ^ 3921 )

0general

the sum of 4 consecutive even numbers is 36 . find the sum of the squares of these numbers ?

1physics

two trains , each 150 m long , moving in opposite directions , cross other in 8 sec . if one is moving twice as fast the other , then the speed of the faster train is ?

1physics

with an average speed of 40 km / hr a car reaches its destination on time . if it goes with an average speed of 35 km / h , it is late by 15 minutes . the total journey is ?

0general

find the remainder q when 12 ^ 190 is divided by 1729 ?

0general

how much 70 % of 100 is greater than 60 % of 80 ?

2gain

the main line train starts at 5.00 am and the harbor line train starts at 5.02 am . each train has the frequency of 10 minutes . if a guy goes in the morning at a random time what is the probability of he getting main line train ?

4probability

an uneducated retailer marks all his goods at 60 % above the cost price and thinking that he will still make 25 % profit , offers a discount of 25 % on the marked price . what is his actual profit on the sales ?

2gain

a plane flies 420 miles with the wind and 350 miles against the wind in the same length of time . if the speed of the wind is 23 mph , what is the speed of the plain in still air ?

1physics

rs 80000 is divided into two parts one part is given to a person with 10 % interest and another part is given to a person with 20 % interest . at the end of first year he gets profit 9000 find money given by 10 % ?

2gain

at the end of year x , automobile installment credit accounted for 43 % of all outstanding consumer installment credit . at that time automobile finance companies extended $ 50 billion of credit , or 1 / 4 of the automobile installment credit . how many billion dollars of consumer installment credit was outstanding at that time ?

0general

what is the lowest positive integer that is divisible by 1 through 3 , inclusive ?

0general

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 $ 1.85 ?

0general

during a certain two - week period , 60 percent of the movies rented from a video store were comedies , and of the remaining movies rented , there were 4 times as many dramas as action movies . if no other movies were rented during that two - week period and there were a action movies rented , then how many comedies , in terms of a , were rented during that two - week period ?

0general

a fruit seller sells mangoes at the rate of rs . 9 per kg and thereby loses 20 % . at what price per kg , he should have sold them to make a profit of 5 %

2gain

if 21 / 22 = 0 . 95.45 , what is the 57 th digit to the right of the decimal point of the fraction ?

0general

an army ’ s recruitment process included n rounds of selection tasks . for the first a rounds , the rejection percentage was 60 percent per round . for the next b rounds , the rejection percentage was 50 percent per round and for the remaining rounds , the selection percentage was 70 percent per round . if there were 20000 people who applied for the army and 196 were finally selected , what was the value of n ?

0general

how many multiples of 5 are there between 50 and 500 ?

0general

two stations a and b are 110 km apart on a straight line . one train starts from a at 4 a . m . and travels towards b at 20 kmph . another train starts from b at 8 a . m . and travels towards a at a speed of 25 kmph . at what time will they meet ?

1physics

the height of the wall is 6 times its width and lenght of the wall is 7 times its height . if the volume of the wall be 16128 cu . m . its width is

1physics

find the sum of all odd numbers upto 100 .

0general

two stations p and q are 110 km apart on a straight track . one train starts from p at 7 a . m . and travels towards q at 20 kmph . another train starts from q at 8 a . m . and travels towards p at a speed of 25 kmph . at what time will they meet ?

1physics

a milk man has 10 liters of milk . if he mixes 5 liters of water , which is freely available , in 20 liters of pure milk . if the cost of pure milk is rs . 18 per liter , then the profit of the milkman , when he sells all the mixture at cost price is :

2gain

if * stands for / , / stands for - , + stands for * and - stands for + , then 9 / 8 * 7 + 5 - 10 = ?

0general

hcf and lcm two numbers are 12 and 396 respectively . if one of the numbers is 36 , then the other number is ?

1physics

what is the tens digit of 36 ^ 30 ?

0general

a 4 digit number is such that the product of all of its digits is 126 . the sum of all the digits is equal to the 2 digit number formed by using thousands digit and tens digit ( 1000 digit in tens place & 10 digit in units place ) which in turn is equal to 19 . then difference of units and 1000 place of the number is , given that this difference is positive .

0general

p and q started a business investing rs . 54,000 and rs . 18,000 respectively . in what ratio the profit earned after 2 years be divided between p and q respectively ?

2gain

a man loses 1 / 3 rd of his money , then wins rs . 10 loses 1 / 3 rd of what he has and wins rs . 20 and finds that he has exactly what be had at the beginning . what was the amount he originally bad ?

0general

what is the probability of getting sum of 10 on rolling three dices ?

4probability

for any integer n greater than 1 , # n denotes the product of all the integers from 1 to n , inclusive . how many prime numbers are there between # 6 + 2 and # 6 + 6 , inclusive ?

0general

a carpenter worked alone for 1 day on a job that would take him 6 more days to finish . he and another carpenter completed the job in 7 more days . how many days would it have taken the second carpenter to do the complete job working alone ?

1physics

if 4 is the remainder when m is divided by 10 , what is the remainder when 4 m is divided by 10 ?

1physics

for an agricultural experiment , 300 seeds were planted in one plot and 200 were planted in a second plot . if exactly 25 percent of the seeds in the first plot germinated and exactly 35 percent of the seeds in the second plot germinated , what percent of the total number of seeds germinated ?

0general

on the first day of her vacation , louisa traveled 240 miles . on the second day , traveling at the same average speed , she traveled 420 miles . if the 240 - mile trip took 3 hours less than the 420 - mile trip , what was the average speed , in miles per hour ?

1physics

the number of positive integers n in the range 12 ≤ n ≤ 40 such that the product ( n − 1 ) ( n − 2 ) . . . 3 . 2.1 is not divisible by n is

0general