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

Problem stringlengths 5 967	category class label 6 classes
on dividing 136 by a number , the quotient is 9 and the remainder is 1 . find the divisor ?	0general
a 72 gallon solution of salt and water is 10 % salt . how many gallons of water must be added to the solution in order to decrease the salt to 8 % of the volume ?	0general
the radius of a cylindrical vessel is 9 cm and height is 3 cm . find the whole surface of the cylinder ?	3geometry
the simple interest on a sum of money will be rs . 600 after 10 years . if the principal is trebled after 5 years what will be the total interest at the end of the tenth year ?	0general
a rectangular floor that measures 24 meters by 64 meters is to be covered with carpet squares that each measure 8 meters by 8 meters . if the carpet squares cost $ 24 apiece , what is the total cost for the number of carpet squares needed to cover the floor ?	3geometry
what least number must be subtracted from 427751 so that remaining no . is divisible by 10	0general
jim is able to sell a hand - carved statue for $ 660 which was a 20 % profit over his cost . how much did the statue originally cost him ?	2gain
the minute hand of a clock overtakes the hour hand at intervals of 65 minutes of correct time . how much does the clock gain or lose in 12 hours ?	1physics
students at a school were on average 180 cm tall . the average female height was 170 cm , and the average male height was 184 cms . what was the ratio f of men to women ?	0general
average monthly income of a family of 3 earning members was rs . 735 . one of the earning members died and therefore , the average income came down to rs 650 . the income of the deceased was ?	0general
a started a business with an investment of rs . 70000 and after 6 months b joined him investing rs . 120000 . if the profit at the end of a year is rs . 52000 , then the share of b is ?	2gain
a tank can supply water to a village for 20 days . if a leak at the bottom of the tank drains out 10 liters per day , the supply lasts for 15 days only . for how many days will the supply last if the leak drains out 20 liters per day ?	1physics
31 of the scientists that attended a certain workshop were wolf prize laureates , and 14 of these 31 were also nobel prize laureates . of the scientists that attended that workshop and had not received the wolf prize , the number of scientists that had received the nobel prize was 3 greater than the number of scientists that had not received the nobel prize . if 50 of the scientists attended that workshop , how many of them were nobel prize laureates ?	1physics
a committee is reviewing a total of 20 x black - and - white films and 6 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 x of the selected films are in color ?	0general
if the average ( arithmetic mean ) of x + 1 , x + 4 , and x + 7 is 0 , then x =	0general
for how many integers pair ( x , y ) satisfies the result ( 1 / x ) + ( ( 1 / y ) = 1 / 16	0general
of the female students at barkely university , 3 / 5 are on the honor roll . of the male students , 2 / 5 are on the honor roll . if 5 / 9 of the students are female , what fraction of all the students are on the honor roll ?	0general
abcd is a square . e and f are the midpoints of sides cd and bc , respectively . what is the ratio of the shaded region area to the unshaded region ?	3geometry
a certain clock marks every hour by striking a number of times equal to the hour , and the time require for a stroke is exactly equal to the time interval between strokes . at 6 : 00 the time lapse between the beginning of the first stoke and the end of the last stroke is 22 seconds . at 7 : 00 , how many seconds elapse between the beginning of the first stroke and the end of the last stroke ?	0general
a dishonest dealer professes to sell goods at the cost price but uses a weight of 600 grams per kg , what is his percent ?	2gain
15 men can complete a piece of work in 25 days . in how many days can 20 men complete that piece of work ?	1physics
if n is a prime number greater than 5 , what is the remainder when n ^ 2 is divided by 23 ?	0general
the sum of all solutions for x in the equation x ^ 2 – 8 x + 21 = \| x – 2 \| + 5 is equal to :	0general
80 is what percent of 160 ?	2gain
the price of commodity x increases by 30 cents every year , while the price of commodity y increases by 20 cents every year . if in 2001 , the price of commodity x was $ 4.20 and the price of commodity y was $ 4.40 , in which year will commodity x cost 40 cents more than the commodity y ?	0general
a 300 metre long train crosses a platform in 39 seconds while it crosses a post in 18 seconds . what is the length of the platform ?	1physics
what is the remainder when 1034 * 1047 * 1050 * 1053 is divided by 33 ?	0general
39 persons can repair a road in 24 days , working 5 hours a day . in how many days will 30 persons , working 6 hours a day , complete the work ?	1physics
two boats are heading towards each other at constant speeds of 4 miles / hr and 20 miles / hr respectively . they begin at a distance 20 miles from each other . how far are they ( in miles ) one minute before they collide ?	1physics
1 / 0.04 is equal to	0general
a retail appliance store priced a video recorder at 20 percent above the wholesale cost of $ 200 . if a store employee applied the 30 percent employee discount to the retail price to buy the recorder , how much did the employee pay for the recorder ?	2gain
if an integer n is to be chosen at random from the integers 1 to 92 , inclusive , what is the probability that n ( n + 1 ) ( n + 2 ) will be divisible by 8 ?	0general
on dividing a number by 56 , we get 27 as remainder . on dividing the same number by 8 , what will be the remainder ?	0general
what sum of money will produce rs . 90 as simple interest in 4 years at 3 1 / 2 percent ?	2gain
a and b enter into a partnership . a contributed rs . 5000 for 8 months and b rs . 6000 for 5 months . find a ' s share in a total profit of rs . 8400 .	2gain
two vessels a and b contain spirit and water in the ratio 5 : 2 and 7 : 6 respectively . find the ratio in which these mixtures be mixed to obtain a new mixture in vessel c containing spirit and water in the ratio 8 : 5 ?	5other
company a imported 10,000 widgets made of either brass or aluminum . the widgets are painted blue , red or green . if 20 percent of the widgets are made of brass and of those 20 percent are painted green and 40 percent are painted red how many brass widgets painted blue were imported ?	2gain
a honey bee flies for 10 seconds , from a daisy to a rose . it immediately continues to a poppy , flying for 6 additional seconds . the distance the bee passed , flying from the daisy to the rose is 6 meters longer than the distance it passed flying from the rose to the poppy . the bee flies to the poppy at 3 meters per second faster than her speed flying to the rose . the bee flies how many meters per second from the daisy to the rose ?	1physics
a rectangular lawn of dimensions 80 m * 40 m has two roads each 10 m wide running in the middle of the lawn , one parallel to the length and the other parallel to the breadth . what is the cost of traveling the two roads at rs . 3 per sq m ?	3geometry
there is enough provisions for 1200 girls in a hostel for 50 days . if there were 600 girls less , how long will the provision last ?	1physics
a 50 kg metal bar made of alloy of tin and silver lost 5 kg of its weight in the water . 10 kg of tin loses 1.375 kg in the water ; 5 kg of silver loses 0.375 kg . what is the ratio of tin to silver in the bar ?	5other
a , b and c have rs . 300 between them , a and c together have rs . 200 and b and c rs . 350 . how much does c have ?	0general
united telephone charges a base rate of $ 7.00 for service , plus an additional charge of $ 0.25 per minute . atlantic call charges a base rate of $ 12.00 for service , plus an additional charge of $ 0.20 per minute . for what number of minutes would the bills for each telephone company be the same ?	0general
there are 50 students in a class . if 12 % are absent on a particular day , find the number of students present in the class .	2gain
how many gallons of milk that is 10 percent butter - fat must be added to 8 gallons of milk that is 50 percent butterfat to obtain milk that is 20 percent butterfat ?	0general
can c and can в are both right circular cylinders . the radius of can c is twice the radius of can b , while the height of can c is half the height of can b . if it costs $ 4.00 to fill half of can b with a certain brand of gasoline , how much would it cost to completely fill can c with the same brand of gasoline ?	3geometry
a certain family has 3 sons : richard is 6 years older than david , and david is 8 years older than scott . if in 8 years , richard will be twice as old as scott , then how old was david 3 years ago ?	0general
6 years ago , the ratio of the ages of vimal and saroj was 6 : 5 . 4 years hence , the ratio of their ages will be 11 : 10 . what is saroj ' s age at present ?	5other
a boat can travel with a speed of 13 km / hr in still water . if the speed of the stream is 5 km / hr , find the time taken by the boat to go 70 km downstream .	1physics
if 60 % of ( x - y ) = 20 % of ( x + y ) , then what percent of x is y ?	0general
a and b undertake to do a piece of work for rs . 600 . a alone can do it in 6 days while b alone can do it in 8 days . with the help of c , they finish it in 3 days . ! find the share of each .	1physics
how many even integers n , such that 20 < = n < = 220 are of the form 3 k + 4 , where k is any natural number ?	0general
the edges of three metal cubes are 1 cm , 3 cm , and 4 cm respectively . a new cube is made by melting these three cubes together . what is the edge of the new cube ( in centimeters ) ?	1physics
an inspector rejects 10 % of the meters as defective . how many will he examine to reject 12 ?	2gain
a survey was sent to 60 customers , 7 of whom responded . then the survey was redesigned and sent to another 72 customers , 9 of whom responded . by approximately what percent did the response rate increase from the original survey to the redesigned survey ?	2gain
if the sides of a square are multiplied by 5 , the area of the original square is how many times as large as the area of the resultant square ?	3geometry
car a runs at the speed of 50 km / hr & reaches its destination in 6 hr . car b runs at the speed of 100 km / h & reaches its destination in 1 h . what is the respective ratio of distances covered by car a & car b ?	1physics
a cubical block of metal weighs 8 pounds . how much will another cube of the same metal weigh if its sides are twice as long ?	3geometry
of the final grades received by the students in a certain math course , 1 / 5 are a ' s , 1 / 4 are b ' s , 1 / 2 are c ' s , and the remaining 20 grades are d ' s . what is the number of students in the course ?	0general
how many pieces of 0.85 meteres can be cut from a rod 42.5 meteres long	1physics
ratio between rahul and deepak is 5 : 2 , after 6 years rahul age will be 26 years . what is deepak present age .	5other
in what time will a train 400 m long cross an electric pole , it its speed be 144 km / hr ?	1physics
set a consists of all the prime numbers between 62 and 85 . what is the range of set a ?	0general
a fruit seller had some apples . he sells 60 % apples and still has 300 apples . originally , he had :	2gain
s ( n ) is a n - digit number formed by attaching the first n perfect squares , in order , into one integer . for example , s ( 1 ) = 1 , s ( 2 ) = 14 , s ( 3 ) = 149 , s ( 4 ) = 14916 , s ( 5 ) = 1491625 , etc . how many digits w are in s ( 99 ) ?	0general
a candidate got 35 % of the votes and lost to the rival by 1650 votes . how many votes were cast ?	2gain
a certain car traveled twice as many miles from town a to town b as it did from town b to town c . from town a to town b , the car averaged 8 miles per gallon , and from town b to town c , the car averaged 18 miles per gallon . what is the average miles per gallon that the car achieved on its trip from town a through town b to town c ?	0general
the total age of a and b is 10 years more than the total age of b and c . c is how many years younger than a . ?	0general
if the area of a circle is 25 pi square feet , find its circumference .	3geometry
excluding stoppages , the speed of a train is 67 kmph and including stoppages it is 51 kmph . of how many minutes does the train stop per hour ?	1physics
the sides of a square region , measured to the nearest centimeter , are 9 centimeters long . the least possible value of the actual area of the square region is	3geometry
the average runs of a cricket player of 8 innings was 24 . how many runs must he make in his next innings so as to increase his average of runs by 8 ?	0general
if jack walked 4 miles in 1 hour and 15 minutes , what was his rate of walking in miles per hour ?	1physics
yesterday it took robert 6 hours to drive from city a to city b . today it took robert 4.5 hours to drive back from city в to city a along the same route . if he had saved 30 minutes in both trips , the speed for the round trip would be 90 miles per hour . what is the distance between city a and city b ?	1physics
a number consists of 3 digits whose sum is 10 . the middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed . the number is :	0general
how many seconds will a train 110 meters long take to cross a railway platform 165 meters long if the speed of the train is 132 kmph ?	1physics
2 trains starting at the same time from 2 stations 200 km apart and going in opposite direction cross each other at a distance of 110 km from one of the stations . what is the ratio of their speeds	1physics
50 percent of andrea ' s living room floor is covered by a carpet that is 4 feet by 9 feet . what is the area of her living room floor ?	2gain
a work can be finished in 13 days by ten women . the same work can be finished in fifteen days by ten men . the ratio between the capacity of a man and a woman is	1physics
if 213 × 16 = 3408 , then 1.6 × 213.0 is equal to :	0general
a train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds . its length is	1physics
the population of a bacteria colony doubles every day . if it was started 3 days ago with 3 bacteria and each bacteria lives for 12 days , how large is the colony today ?	1physics
the h . c . f of two numbers is 15 and their l . c . m is 3300 . if one of the numbers is 225 , then the other is ?	1physics
a bag marked at $ 80 is sold for $ 68 . the rate of discount is ?	2gain
{ 5 , 6 , 3 , 8 , 4 } if we want to get the median value of the set to be 10 which value should be inserted in the set of 5 values ?	0general
the area of a rhombus is equal to the area of a square whose side length is 8 cm . if one of the diagonals is 16 cm what is the length of other diagonal ?	3geometry
the cost price of 7 articles is equal to the selling price of 5 articles . what is the profit percent ?	2gain
in a kilometer race , a beats b by 20 meters or 10 seconds . what time does a take to complete the race ?	1physics
a positive number when decreased by 4 is equal to 21 times the reciprocal of the number . the number is	0general
at what price must an book costing $ 47.50 be marked in order that after deducting 5 % from the list price . it may be sold at a profit of 25 % on the cost price ?	2gain
a car consumes 210 liters of petrol weekly . for how many days will 1470 liters of petrol be sufficient ?	1physics
one type of liquid contains 20 % of water and the second type of liquid contains 35 % of water . a glass is filled with 10 parts of 1 st liquid and 4 parts of 2 nd liquid . the percentage of water in the new mixture in the glass is ?	2gain
the sum of two consecutive integers is 61 . find the numbers .	1physics
cuboid volume and base area are 144 m ^ 3 and 18 m ^ 3 respectively . find the height of a cuboid ?	3geometry
how many positive even integers less than 100 contain digits 7 or 9 ?	0general
in a group of 650 readers who read science fiction or literacy works or both , 250 read science fiction and 550 read literacy works . how many read both science fiction and literacy works ?	5other
if anangletis defined as 1 percent of 1 degree , then how many anglets are there in one half circle ?	3geometry
the speed of a car is 80 km in the first hour and 40 km in the second hour . what is the average speed of the car ?	1physics
two trains 200 m and 250 m long run at the speed of 72 kmph and 18 kmph in opposite directions in parallel tracks . the time which they take to cross each other is ?	1physics
the “ length of integer x ” refers to the number of prime factors , not necessarily distinct , that x has . ( if x = 60 , the length of x would be 4 because 60 = 2 × 2 × 3 × 5 . ) what is the greatest possible length of integer z if z < 3000 ?	0general

on dividing 136 by a number , the quotient is 9 and the remainder is 1 . find the divisor ?

0general

a 72 gallon solution of salt and water is 10 % salt . how many gallons of water must be added to the solution in order to decrease the salt to 8 % of the volume ?

0general

the radius of a cylindrical vessel is 9 cm and height is 3 cm . find the whole surface of the cylinder ?

3geometry

the simple interest on a sum of money will be rs . 600 after 10 years . if the principal is trebled after 5 years what will be the total interest at the end of the tenth year ?

0general

a rectangular floor that measures 24 meters by 64 meters is to be covered with carpet squares that each measure 8 meters by 8 meters . if the carpet squares cost $ 24 apiece , what is the total cost for the number of carpet squares needed to cover the floor ?

3geometry

what least number must be subtracted from 427751 so that remaining no . is divisible by 10

0general

jim is able to sell a hand - carved statue for $ 660 which was a 20 % profit over his cost . how much did the statue originally cost him ?

2gain

the minute hand of a clock overtakes the hour hand at intervals of 65 minutes of correct time . how much does the clock gain or lose in 12 hours ?

1physics

students at a school were on average 180 cm tall . the average female height was 170 cm , and the average male height was 184 cms . what was the ratio f of men to women ?

0general

average monthly income of a family of 3 earning members was rs . 735 . one of the earning members died and therefore , the average income came down to rs 650 . the income of the deceased was ?

0general

a started a business with an investment of rs . 70000 and after 6 months b joined him investing rs . 120000 . if the profit at the end of a year is rs . 52000 , then the share of b is ?

2gain

a tank can supply water to a village for 20 days . if a leak at the bottom of the tank drains out 10 liters per day , the supply lasts for 15 days only . for how many days will the supply last if the leak drains out 20 liters per day ?

1physics

31 of the scientists that attended a certain workshop were wolf prize laureates , and 14 of these 31 were also nobel prize laureates . of the scientists that attended that workshop and had not received the wolf prize , the number of scientists that had received the nobel prize was 3 greater than the number of scientists that had not received the nobel prize . if 50 of the scientists attended that workshop , how many of them were nobel prize laureates ?

1physics

a committee is reviewing a total of 20 x black - and - white films and 6 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 x of the selected films are in color ?

0general

if the average ( arithmetic mean ) of x + 1 , x + 4 , and x + 7 is 0 , then x =

0general

for how many integers pair ( x , y ) satisfies the result ( 1 / x ) + ( ( 1 / y ) = 1 / 16

0general

of the female students at barkely university , 3 / 5 are on the honor roll . of the male students , 2 / 5 are on the honor roll . if 5 / 9 of the students are female , what fraction of all the students are on the honor roll ?

0general

abcd is a square . e and f are the midpoints of sides cd and bc , respectively . what is the ratio of the shaded region area to the unshaded region ?

3geometry

a certain clock marks every hour by striking a number of times equal to the hour , and the time require for a stroke is exactly equal to the time interval between strokes . at 6 : 00 the time lapse between the beginning of the first stoke and the end of the last stroke is 22 seconds . at 7 : 00 , how many seconds elapse between the beginning of the first stroke and the end of the last stroke ?

0general

a dishonest dealer professes to sell goods at the cost price but uses a weight of 600 grams per kg , what is his percent ?

2gain

15 men can complete a piece of work in 25 days . in how many days can 20 men complete that piece of work ?

1physics

if n is a prime number greater than 5 , what is the remainder when n ^ 2 is divided by 23 ?

0general

the sum of all solutions for x in the equation x ^ 2 – 8 x + 21 = | x – 2 | + 5 is equal to :

0general

80 is what percent of 160 ?

2gain

the price of commodity x increases by 30 cents every year , while the price of commodity y increases by 20 cents every year . if in 2001 , the price of commodity x was $ 4.20 and the price of commodity y was $ 4.40 , in which year will commodity x cost 40 cents more than the commodity y ?

0general

a 300 metre long train crosses a platform in 39 seconds while it crosses a post in 18 seconds . what is the length of the platform ?

1physics

what is the remainder when 1034 * 1047 * 1050 * 1053 is divided by 33 ?

0general

39 persons can repair a road in 24 days , working 5 hours a day . in how many days will 30 persons , working 6 hours a day , complete the work ?

1physics

two boats are heading towards each other at constant speeds of 4 miles / hr and 20 miles / hr respectively . they begin at a distance 20 miles from each other . how far are they ( in miles ) one minute before they collide ?

1physics

1 / 0.04 is equal to

0general

a retail appliance store priced a video recorder at 20 percent above the wholesale cost of $ 200 . if a store employee applied the 30 percent employee discount to the retail price to buy the recorder , how much did the employee pay for the recorder ?

2gain

if an integer n is to be chosen at random from the integers 1 to 92 , inclusive , what is the probability that n ( n + 1 ) ( n + 2 ) will be divisible by 8 ?

0general

on dividing a number by 56 , we get 27 as remainder . on dividing the same number by 8 , what will be the remainder ?

0general

what sum of money will produce rs . 90 as simple interest in 4 years at 3 1 / 2 percent ?

2gain

a and b enter into a partnership . a contributed rs . 5000 for 8 months and b rs . 6000 for 5 months . find a ' s share in a total profit of rs . 8400 .

2gain

two vessels a and b contain spirit and water in the ratio 5 : 2 and 7 : 6 respectively . find the ratio in which these mixtures be mixed to obtain a new mixture in vessel c containing spirit and water in the ratio 8 : 5 ?

5other

company a imported 10,000 widgets made of either brass or aluminum . the widgets are painted blue , red or green . if 20 percent of the widgets are made of brass and of those 20 percent are painted green and 40 percent are painted red how many brass widgets painted blue were imported ?

2gain

a honey bee flies for 10 seconds , from a daisy to a rose . it immediately continues to a poppy , flying for 6 additional seconds . the distance the bee passed , flying from the daisy to the rose is 6 meters longer than the distance it passed flying from the rose to the poppy . the bee flies to the poppy at 3 meters per second faster than her speed flying to the rose . the bee flies how many meters per second from the daisy to the rose ?

1physics

a rectangular lawn of dimensions 80 m * 40 m has two roads each 10 m wide running in the middle of the lawn , one parallel to the length and the other parallel to the breadth . what is the cost of traveling the two roads at rs . 3 per sq m ?

3geometry

there is enough provisions for 1200 girls in a hostel for 50 days . if there were 600 girls less , how long will the provision last ?

1physics

a 50 kg metal bar made of alloy of tin and silver lost 5 kg of its weight in the water . 10 kg of tin loses 1.375 kg in the water ; 5 kg of silver loses 0.375 kg . what is the ratio of tin to silver in the bar ?

5other

a , b and c have rs . 300 between them , a and c together have rs . 200 and b and c rs . 350 . how much does c have ?

0general

united telephone charges a base rate of $ 7.00 for service , plus an additional charge of $ 0.25 per minute . atlantic call charges a base rate of $ 12.00 for service , plus an additional charge of $ 0.20 per minute . for what number of minutes would the bills for each telephone company be the same ?

0general

there are 50 students in a class . if 12 % are absent on a particular day , find the number of students present in the class .

2gain

how many gallons of milk that is 10 percent butter - fat must be added to 8 gallons of milk that is 50 percent butterfat to obtain milk that is 20 percent butterfat ?

0general

can c and can в are both right circular cylinders . the radius of can c is twice the radius of can b , while the height of can c is half the height of can b . if it costs $ 4.00 to fill half of can b with a certain brand of gasoline , how much would it cost to completely fill can c with the same brand of gasoline ?

3geometry

a certain family has 3 sons : richard is 6 years older than david , and david is 8 years older than scott . if in 8 years , richard will be twice as old as scott , then how old was david 3 years ago ?

0general

6 years ago , the ratio of the ages of vimal and saroj was 6 : 5 . 4 years hence , the ratio of their ages will be 11 : 10 . what is saroj ' s age at present ?

5other

a boat can travel with a speed of 13 km / hr in still water . if the speed of the stream is 5 km / hr , find the time taken by the boat to go 70 km downstream .

1physics

if 60 % of ( x - y ) = 20 % of ( x + y ) , then what percent of x is y ?

0general

a and b undertake to do a piece of work for rs . 600 . a alone can do it in 6 days while b alone can do it in 8 days . with the help of c , they finish it in 3 days . ! find the share of each .

1physics

how many even integers n , such that 20 < = n < = 220 are of the form 3 k + 4 , where k is any natural number ?

0general

the edges of three metal cubes are 1 cm , 3 cm , and 4 cm respectively . a new cube is made by melting these three cubes together . what is the edge of the new cube ( in centimeters ) ?

1physics

an inspector rejects 10 % of the meters as defective . how many will he examine to reject 12 ?

2gain

a survey was sent to 60 customers , 7 of whom responded . then the survey was redesigned and sent to another 72 customers , 9 of whom responded . by approximately what percent did the response rate increase from the original survey to the redesigned survey ?

2gain

if the sides of a square are multiplied by 5 , the area of the original square is how many times as large as the area of the resultant square ?

3geometry

car a runs at the speed of 50 km / hr & reaches its destination in 6 hr . car b runs at the speed of 100 km / h & reaches its destination in 1 h . what is the respective ratio of distances covered by car a & car b ?

1physics

a cubical block of metal weighs 8 pounds . how much will another cube of the same metal weigh if its sides are twice as long ?

3geometry

of the final grades received by the students in a certain math course , 1 / 5 are a ' s , 1 / 4 are b ' s , 1 / 2 are c ' s , and the remaining 20 grades are d ' s . what is the number of students in the course ?

0general

how many pieces of 0.85 meteres can be cut from a rod 42.5 meteres long

1physics

ratio between rahul and deepak is 5 : 2 , after 6 years rahul age will be 26 years . what is deepak present age .

5other

in what time will a train 400 m long cross an electric pole , it its speed be 144 km / hr ?

1physics

set a consists of all the prime numbers between 62 and 85 . what is the range of set a ?

0general

a fruit seller had some apples . he sells 60 % apples and still has 300 apples . originally , he had :

2gain

s ( n ) is a n - digit number formed by attaching the first n perfect squares , in order , into one integer . for example , s ( 1 ) = 1 , s ( 2 ) = 14 , s ( 3 ) = 149 , s ( 4 ) = 14916 , s ( 5 ) = 1491625 , etc . how many digits w are in s ( 99 ) ?

0general

a candidate got 35 % of the votes and lost to the rival by 1650 votes . how many votes were cast ?

2gain

a certain car traveled twice as many miles from town a to town b as it did from town b to town c . from town a to town b , the car averaged 8 miles per gallon , and from town b to town c , the car averaged 18 miles per gallon . what is the average miles per gallon that the car achieved on its trip from town a through town b to town c ?

0general

the total age of a and b is 10 years more than the total age of b and c . c is how many years younger than a . ?

0general

if the area of a circle is 25 pi square feet , find its circumference .

3geometry

excluding stoppages , the speed of a train is 67 kmph and including stoppages it is 51 kmph . of how many minutes does the train stop per hour ?

1physics

the sides of a square region , measured to the nearest centimeter , are 9 centimeters long . the least possible value of the actual area of the square region is

3geometry

the average runs of a cricket player of 8 innings was 24 . how many runs must he make in his next innings so as to increase his average of runs by 8 ?

0general

if jack walked 4 miles in 1 hour and 15 minutes , what was his rate of walking in miles per hour ?

1physics

yesterday it took robert 6 hours to drive from city a to city b . today it took robert 4.5 hours to drive back from city в to city a along the same route . if he had saved 30 minutes in both trips , the speed for the round trip would be 90 miles per hour . what is the distance between city a and city b ?

1physics

a number consists of 3 digits whose sum is 10 . the middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed . the number is :

0general

how many seconds will a train 110 meters long take to cross a railway platform 165 meters long if the speed of the train is 132 kmph ?

1physics

2 trains starting at the same time from 2 stations 200 km apart and going in opposite direction cross each other at a distance of 110 km from one of the stations . what is the ratio of their speeds

1physics

50 percent of andrea ' s living room floor is covered by a carpet that is 4 feet by 9 feet . what is the area of her living room floor ?

2gain

a work can be finished in 13 days by ten women . the same work can be finished in fifteen days by ten men . the ratio between the capacity of a man and a woman is

1physics

if 213 × 16 = 3408 , then 1.6 × 213.0 is equal to :

0general

a train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds . its length is

1physics

the population of a bacteria colony doubles every day . if it was started 3 days ago with 3 bacteria and each bacteria lives for 12 days , how large is the colony today ?

1physics

the h . c . f of two numbers is 15 and their l . c . m is 3300 . if one of the numbers is 225 , then the other is ?

1physics

a bag marked at $ 80 is sold for $ 68 . the rate of discount is ?

2gain

{ 5 , 6 , 3 , 8 , 4 } if we want to get the median value of the set to be 10 which value should be inserted in the set of 5 values ?

0general

the area of a rhombus is equal to the area of a square whose side length is 8 cm . if one of the diagonals is 16 cm what is the length of other diagonal ?

3geometry

the cost price of 7 articles is equal to the selling price of 5 articles . what is the profit percent ?

2gain

in a kilometer race , a beats b by 20 meters or 10 seconds . what time does a take to complete the race ?

1physics

a positive number when decreased by 4 is equal to 21 times the reciprocal of the number . the number is

0general

at what price must an book costing $ 47.50 be marked in order that after deducting 5 % from the list price . it may be sold at a profit of 25 % on the cost price ?

2gain

a car consumes 210 liters of petrol weekly . for how many days will 1470 liters of petrol be sufficient ?

1physics

one type of liquid contains 20 % of water and the second type of liquid contains 35 % of water . a glass is filled with 10 parts of 1 st liquid and 4 parts of 2 nd liquid . the percentage of water in the new mixture in the glass is ?

2gain

the sum of two consecutive integers is 61 . find the numbers .

1physics

cuboid volume and base area are 144 m ^ 3 and 18 m ^ 3 respectively . find the height of a cuboid ?

3geometry

how many positive even integers less than 100 contain digits 7 or 9 ?

0general

in a group of 650 readers who read science fiction or literacy works or both , 250 read science fiction and 550 read literacy works . how many read both science fiction and literacy works ?

5other

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

3geometry

the speed of a car is 80 km in the first hour and 40 km in the second hour . what is the average speed of the car ?

1physics

two trains 200 m and 250 m long run at the speed of 72 kmph and 18 kmph in opposite directions in parallel tracks . the time which they take to cross each other is ?

1physics

the “ length of integer x ” refers to the number of prime factors , not necessarily distinct , that x has . ( if x = 60 , the length of x would be 4 because 60 = 2 × 2 × 3 × 5 . ) what is the greatest possible length of integer z if z < 3000 ?

0general