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

Problem stringlengths 5 967	category class label 6 classes
the price of a t . v . set worth rs . 10000 is to be paid in 20 installments of rs . 1000 each . if the rate of interest be 6 % per annum , and the first installment be paid at the time of purchase , then the value of the last installment covering the interest as well will be ?	2gain
find the principle on a certain sum of money at 5 % per annum for 3 years if the amount being rs . 1120 ?	2gain
a water tank is two - fifth full . pipe a can fill a tank in 10 minutes and pipe b can empty it in 6 minutes . if both the pipes are open , how long will it take to empty or fill the tank completely ?	1physics
how many two digit prime numbers are there in which both digits are prime numbers ? ( for example , 23 is one of these numbers but 31 is not , since 1 is not a prime number . )	5other
a candidate got 35 % of the votes polled and he lost to his rival by 2460 votes . how many votes were cast ?	2gain
{ 8 , 46 , 53 , 127 } what number should be inserted in the set of 7 values to get a median of 9 ?	0general
the ratio 2 : 3 expressed as a percent equals	0general
two brother x and y appeared for an exam . the probability of selection of x is 1 / 7 and that of b is 2 / 5 . find the probability that both of them are selected .	0general
3 consecutive odd integers are in increasing order such that the sum of the last two integers is 17 more than the first integer . find the 3 integers ?	0general
p is able to do a piece of work in 5 days and q can do the same work in 10 days . if they can work together for 3 days , what is the fraction of work completed ?	1physics
the sum of three consecutive multiples of 3 is 81 . what is the largest number ?	0general
what is the area of square field whose side of length 15 m ?	3geometry
how many liters of water must be evaporated from 50 liters of a 4 percent sugar solution to get a 10 percent sugar solution ?	2gain
at what rate percent per annum will a sum of money double in 16 years ?	2gain
a hat company ships its hats , individually wrapped , in 8 - inch by 10 - inch by 12 - inch boxes . each hat is valued at $ 7.50 . if the company ’ s latest order required a truck with at least 240,000 cubic inches of storage space in which to ship the hats in their boxes , what was the minimum value of the order ?	0general
10 business executives and 7 chairmen meet at a conference . if each business executive shakes the hand of every other business executive and every chairman once , and each chairman shakes the hand of each of the business executives but not the other chairmen , how many handshakes would take place ?	3geometry
in what ratio must water be mixed with milk to gain 16 ( 2 / 3 ) % on selling the mixture at cost price ?	2gain
two pipes a and b can fill a tank in 2 and 6 minutes respectively . if both the pipes are used together , then how long will it take to fill the tank ?	1physics
a train requires 8 seconds to pass a pole while it requires 18 seconds to cross a stationary train which is 400 mtrs long . find the speed of the train .	1physics
there are 6 people in the elevator . their average weight is 154 lbs . another person enters the elevator , and increases the average weight to 151 lbs . what is the weight of the 7 th person .	0general
for any number z , z * is defined as the greatest positive even integer less than or equal to y . what is the value of 6.25 – 6.25 * ?	0general
a river boat leaves silver town and travels upstream to gold town at an average speed of 3 kilometers per hour . it returns by the same route at an average speed of 7 kilometers per hour . what is the average speed for the round - trip in kilometers per hour ?	1physics
6 friends visited a book stall and brought 6 books , and everyone decided to contribute equally to the total bill of $ 400 . if one of the friends had a coupon for 5 % off the total bill , and if each friend still contributed equally after the coupon was applied to the bill , how much did each friend pay ?	0general
the ages of two persons differ by 32 years . if 5 years ago , the elder one be 5 times as old as the younger one , their present ages ( in years ) are respectively	0general
let f ( x ) = x ^ 2 + bx + c . if f ( 5 ) = 0 and f ( - 3 ) = 0 , then b + c =	0general
the average weight of 8 person ' s increases by 5 kg when a new person comes in place of one of them weighing 35 kg . what might be the weight of the new person ?	0general
the average marks of a class of 22 students is 40 and that of another class of 28 students is 60 . find the average marks of all the students ?	0general
y = x ^ 2 + bx + 512 cuts the x axis at ( h , 0 ) and ( k , 0 ) . if h and k are integers , what is the least value of b ?	0general
the slant height of a cone is 10 cm and radius of the base is 5 cm , find the curved surface of the cone .	3geometry
find the area of a parallelogram with base 30 cm and height 12 cm ?	3geometry
if 45 - [ 28 - { 37 - ( 15 - * ) } ] = 57 , then * is equal to :	0general
in a kilometer race , a beats b by 51 meters or 11 seconds . what time does a take to complete the race ?	1physics
how many three - digit numbers that do not contain the digits 2 or 5 are there ?	0general
a person borrows rs . 5000 for 2 years at 4 % p . a . simple interest . he immediately lends it to another person at 6 % p . a for 2 years . find his gain in the transaction per year .	2gain
shop offered 25 % offer for every shirt , smith bought a shirt at rs . 560 . and what was the shop ' s original selling price ?	2gain
what is the least number of square tiles required to pave the floor of a room 10 m 17 cm long and 9 m 9 cm broad ?	1physics
if a person walks at 15 km / hr instead of 9 km / hr , he would have walked 20 km more . the time traveled by him is ?	0general
the sum of 3 consecutive odd natural numbers , each divisible by 3 is 72 . what is the largest among them ?	0general
if sum of two no . is 12 and subtraction to that is 4 . so how much min . should added to smaller no . to make it even ?	0general
consider a lady took a loan from a bank at the rate of 12 % p . a . simple interest . after 3 years she had to pay rs . 5400 interest only for the period . the principal amount borrowed by her was	2gain
a store reported total sales of $ 385 million for february of this year . if the total sales for the same month last year was $ 320 million , approximately what was the percent increase q in sales ?	0general
one computer can upload 120 megabytes worth of data in 6 seconds . two computers , including this one , working together , can upload 1300 megabytes worth of data in 42 seconds . how long would it take for the second computer , working on its own , to upload 120 megabytes of data ?	1physics
set k contains every multiple of 6 from 18 to 306 inclusive . if w is the median of set k , and x is the average ( arithmetic mean ) of set k , what is the value of w - x ?	0general
# p is defined as 2 p + 20 for any number p . what is p , if # ( # ( # p ) ) = 4 ?	0general
if n = 3 ^ 0.15 and n ^ b = 9 , b must equal	0general
two trains , one from howrah to patna and the other from patna to howrah , start simultaneously . after they meet , the trains reach their destinations after 36 hours and 16 hours respectively . the ratio of their speeds is ?	1physics
john makes $ 55 a week from his job . he earns a raise andnow makes $ 60 a week . what is the % increase ?	2gain
what is the sum of all the prime numbers greater than 10 but less than 40 ?	0general
the value of a machine depreciates at the rate of 10 % every year . it was purchased 3 years ago . if its present value is rs . 8748 , its purchase price was	2gain
find 95 × × 97	0general
what is the units digit of 17 ^ 73 × 13 ^ 82 × 11 ^ 87 ?	0general
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 70 cents more than the commodity y ?	0general
how many bricks , each measuring 100 cm x 11.25 cm x 6 cm , will be needed to build a wall of 8 m x 6 m x 22.5 cm ?	1physics
real - estate salesman z is selling a house at a 20 percent discount from its retail price . real - estate salesman x vows to match this price , and then offers an additional 10 percent discount . real - estate salesman y decides to average the prices of salesmen z and x , then offer an additional 25 percent discount . salesman y ' s final price is what fraction of salesman x ' s final price ?	0general
if a - b = 3 and a ^ 2 + b ^ 2 = 28 , find the value of ab .	0general
a group of men decided to do a work in 20 days , but 10 of them became absent . if the rest of the group did the work in 40 days , find the original number of men ?	1physics
mr . karan borrowed a certain amount at 6 % per annum simple interest for 9 years . after 9 years , he returned rs . 8310 / - . find out the amount that he borrowed .	2gain
an article is bought for rs . 980 and sold for rs . 788 , find the loss percent ?	2gain
out of 15 students in a class , 7 are from maharashtra , 5 are from karnataka , and 3 are from goa . four students are to be selected at random . what are the chances that at least one is from karnataka ?	4probability
suppose that f ( x ) is a function such that for every real number x , i ) f ( x ) + f ( 1 - x ) = 10 and ( ii ) f ( 1 + x ) = 3 + f ( x ) . then f ( x ) + f ( - x ) must equal	0general
each child has 12 crayons and 24 apples . if there are 18 children , how many crayons are there in total ?	0general
in a certain warehouse , 90 percent of the packages weigh less than 75 pounds , and a total of 48 packages weigh less than 25 pounds . if 80 percent of the packages weigh at least 25 pounds , how many of the packages weigh at least 25 pounds but less than 75 pounds ?	0general
what is the units digit of the expression 14 ^ 7 − 19 ^ 4 ?	0general
there are two concentric circles such that the area of the outer circle is four times the area of the inner circle . let a , b and c be three distinct points on the perimeter of the outer circle such that ab and ac are tangents to the inner circle . if the area of the outer circle is 12 square centimetres then the area ( in square centimetres ) of the triangle abc would be	3geometry
if 425 / 999 = 0.125 , what is the 81 st digit to the right of the decimal point in the decimal equivalent of the fraction ?	0general
a and b start a business , with a investing the total capital of rs . 500000 , on the condition that b pays a interest @ 10 % per annum on his half of the capital . a is a working partner and receives rs . 15000 per month from the total profit and any profit remaining is equally shared by both of them . at the end of the year , it was found that the income of a is twice that of b . find the total profit for the year ?	2gain
if p and q are prime numbers , how many divisors does the product p ^ 2 * q ^ 5 have ?	0general
the figure above shows the dimensions of a semicircular cross section of a one - way tunnel . the single traffic lane is 12 feet wide and is equidistant from the sides of the tunnel . if vehicles must clear the top of the tunnel by at least ½ foot when they are inside the traffic lane , what should be the limit l on the height of vehicles that are allowed to use the tunnel ?	1physics
a factory has 15 machines of equal efficiency in its factory . the annual manufacturing costs are rs . 42000 & establishment charges are rs . 12000 . the annual output of the company is rs . 70000 . the annual output and manufacturing costs are directly proportional to the number of machines . the shareholders get 12 . 512.5 profit , which is directly proportional to the annual output of the company . if 7 . 147.14 machines remain closed throughout the year , then the % decrease in the amountof profit of the shareholders would be ?	2gain
the h . c . f of two numbers is 23 and the other two factors of their l . c . m are 11 and 12 . the larger of the two numbers is :	5other
the present population of a town is 3600 . population increase rate is 20 % p . a . find the population of town before 2 years ?	2gain
evaluate : 20 - 12 ÷ 4 × 2 =	0general
the average of a batsman for 40 innings is 50 runs . his highest score exceeds his lowest score by 172 runs . if these two innings are excluded , his average drops by 2 runs . find his highest score .	0general
a corporation paid $ 9 million in federal taxes on its first $ 50 million of gross profits and then $ 30 million in federal taxes on the next $ 150 million in gross profits . by approximately what percent did the ratio of federal taxes to gross profits increase from the first $ 50 million in profits to the next $ 150 million in profits ?	2gain
the height of the wall is 6 times its width and length of the wall is 7 times its height . if the volume of the wall be 129024 cu . m . its width is	1physics
evaluate : 136.09 + 43.9	0general
16 balls are numbered 1 to 16 . a ball is drawn and then another ball is drawn without replacement . what is the probability that both balls have even numbers ?	5other
the number of years of service of the 8 employees in a production department are 15 , 10 , 9 , 17 , 6 , 3 , 14 and 16 . what is the range in the number of years of service of the 8 employees ?	0general
how many factors of 440 are odd numbers greater than 1 ?	5other
annika hikes at a constant rate of 10 minutes per kilometer . she has hiked 2.5 kilometers east from the start of a hiking trail when she realizes that she has to be back at the start of the trail in 35 minutes . if annika continues east , then turns around and retraces her path to reach the start of the trail in exactly 35 minutes , for how many kilometers total did she hike east ?	1physics
the average temperature of the town in the first 4 days of a month was 58 degrees . the average for the second , third , fourth and fifth days was 59 degrees . if the temperatures of the first and fifth days were in the ratio 7 : 8 , then what is the temperature on the fifth day ?	1physics
49 ã — 49 ã — 49 ã — 49 x 49 = 7 ?	0general
reena took a loan of $ . 1200 with simple interest for as many years as the rate of interest . if she paid $ 108 as interest at the end of the loan period , what was the rate of interest ?	2gain
today joelle opened an interest - bearing savings account and deposited $ 5,000 . if the annual interest rate is 4 percent compounded interest , and she neither deposits nor withdraws money for exactly 2 years , how much money will she have in the account ?	2gain
ana climbs up stairs 20 floors building and back . she takes the exact same route both ways . on the trip up she climbs an average speed of 2 steps per second . on the trip back she climbs down at an average speed of 4 steps per second . what is her approximate average speed for the round trip in miles per hour ?	1physics
a cube of edge 6 cm is cut into cubes each of edge 2 cm . the ratio of the total surface area of one of the small cubes to that of the large cube is equal to :	3geometry
two positive integers differ by 4 , and sum of their reciprocals is 6 . then one of the numbers is	0general
if a mixture is 3 ⁄ 7 alcohol by volume and 4 ⁄ 7 water by volume , what is the ratio of the volume of alcohol to the volume of water in this mixture ?	0general
the ratio of two quantities is 4 : 3 . if each of the quantities is decreased by 8 , their ratio changes to 3 : 1 then the smallest number is ?	5other
the instructions state that cheryl needs 4 / 19 square yards of one type of material and 2 / 13 square yards of another type of material for a project . she buys exactly that amount . after finishing the project , however , she has 4 / 26 square yards left that she did not use . what is the total amount of square yards of material cheryl used ?	0general
running at the same constant rate , 6 identical machines can produce a total of 270 bottles per minute . at this rate , how many bottles could 16 such machines produce in 4 minutes ?	2gain
all the milk in container a which was filled to its brim was poured into two containers b and c . the quantity of milk in container b was 62.5 % less than the capacity of container a . if 154 liters was now transferred from c to b , then both the containers would have equal quantities of milk . what was the initial quantity of milk in container a ?	0general
of the 170 people at a party , 70 were women , and 30 women tried the appetizer . if 60 people did not try the appetizer , what is the total number of men who tried the appetizer ?	0general
on dividing a number by 7 , we get 5 as quotient and 0 as remainder . on dividing the same number by 11 , what will be the remainder ?	0general
if a 10 percent deposit that has been paid toward the purchase of a certain product is $ 130 , how much more remains to be paid ?	0general
a man swims downstream 36 km and upstream 18 km taking 6 hours each time , what is the speed of the man in still water ?	1physics
a rectangular block 12 cm by 36 cm by 60 cm is cut into an exact number of equal cubes . find the least possible number of cubes ?	3geometry
a man swims downstream 65 km and upstream 35 km taking 5 hours each time ; what is the speed of the current ?	1physics
a , b and c started a business with capitals of rs . 8000 , rs . 10000 and rs . 12000 respectively . at the end of the year , the profit share of b is rs . 3500 . the difference between the profit shares of a and c is ?	2gain
how many pieces of 75 cm can be cut from a rope 60 meters long ?	1physics

the price of a t . v . set worth rs . 10000 is to be paid in 20 installments of rs . 1000 each . if the rate of interest be 6 % per annum , and the first installment be paid at the time of purchase , then the value of the last installment covering the interest as well will be ?

2gain

find the principle on a certain sum of money at 5 % per annum for 3 years if the amount being rs . 1120 ?

2gain

a water tank is two - fifth full . pipe a can fill a tank in 10 minutes and pipe b can empty it in 6 minutes . if both the pipes are open , how long will it take to empty or fill the tank completely ?

1physics

how many two digit prime numbers are there in which both digits are prime numbers ? ( for example , 23 is one of these numbers but 31 is not , since 1 is not a prime number . )

5other

a candidate got 35 % of the votes polled and he lost to his rival by 2460 votes . how many votes were cast ?

2gain

{ 8 , 46 , 53 , 127 } what number should be inserted in the set of 7 values to get a median of 9 ?

0general

the ratio 2 : 3 expressed as a percent equals

0general

two brother x and y appeared for an exam . the probability of selection of x is 1 / 7 and that of b is 2 / 5 . find the probability that both of them are selected .

0general

3 consecutive odd integers are in increasing order such that the sum of the last two integers is 17 more than the first integer . find the 3 integers ?

0general

p is able to do a piece of work in 5 days and q can do the same work in 10 days . if they can work together for 3 days , what is the fraction of work completed ?

1physics

the sum of three consecutive multiples of 3 is 81 . what is the largest number ?

0general

what is the area of square field whose side of length 15 m ?

3geometry

how many liters of water must be evaporated from 50 liters of a 4 percent sugar solution to get a 10 percent sugar solution ?

2gain

at what rate percent per annum will a sum of money double in 16 years ?

2gain

a hat company ships its hats , individually wrapped , in 8 - inch by 10 - inch by 12 - inch boxes . each hat is valued at $ 7.50 . if the company ’ s latest order required a truck with at least 240,000 cubic inches of storage space in which to ship the hats in their boxes , what was the minimum value of the order ?

0general

10 business executives and 7 chairmen meet at a conference . if each business executive shakes the hand of every other business executive and every chairman once , and each chairman shakes the hand of each of the business executives but not the other chairmen , how many handshakes would take place ?

3geometry

in what ratio must water be mixed with milk to gain 16 ( 2 / 3 ) % on selling the mixture at cost price ?

2gain

two pipes a and b can fill a tank in 2 and 6 minutes respectively . if both the pipes are used together , then how long will it take to fill the tank ?

1physics

a train requires 8 seconds to pass a pole while it requires 18 seconds to cross a stationary train which is 400 mtrs long . find the speed of the train .

1physics

there are 6 people in the elevator . their average weight is 154 lbs . another person enters the elevator , and increases the average weight to 151 lbs . what is the weight of the 7 th person .

0general

for any number z , z * is defined as the greatest positive even integer less than or equal to y . what is the value of 6.25 – 6.25 * ?

0general

a river boat leaves silver town and travels upstream to gold town at an average speed of 3 kilometers per hour . it returns by the same route at an average speed of 7 kilometers per hour . what is the average speed for the round - trip in kilometers per hour ?

1physics

6 friends visited a book stall and brought 6 books , and everyone decided to contribute equally to the total bill of $ 400 . if one of the friends had a coupon for 5 % off the total bill , and if each friend still contributed equally after the coupon was applied to the bill , how much did each friend pay ?

0general

the ages of two persons differ by 32 years . if 5 years ago , the elder one be 5 times as old as the younger one , their present ages ( in years ) are respectively

0general

let f ( x ) = x ^ 2 + bx + c . if f ( 5 ) = 0 and f ( - 3 ) = 0 , then b + c =

0general

the average weight of 8 person ' s increases by 5 kg when a new person comes in place of one of them weighing 35 kg . what might be the weight of the new person ?

0general

the average marks of a class of 22 students is 40 and that of another class of 28 students is 60 . find the average marks of all the students ?

0general

y = x ^ 2 + bx + 512 cuts the x axis at ( h , 0 ) and ( k , 0 ) . if h and k are integers , what is the least value of b ?

0general

the slant height of a cone is 10 cm and radius of the base is 5 cm , find the curved surface of the cone .

3geometry

find the area of a parallelogram with base 30 cm and height 12 cm ?

3geometry

if 45 - [ 28 - { 37 - ( 15 - * ) } ] = 57 , then * is equal to :

0general

in a kilometer race , a beats b by 51 meters or 11 seconds . what time does a take to complete the race ?

1physics

how many three - digit numbers that do not contain the digits 2 or 5 are there ?

0general

a person borrows rs . 5000 for 2 years at 4 % p . a . simple interest . he immediately lends it to another person at 6 % p . a for 2 years . find his gain in the transaction per year .

2gain

shop offered 25 % offer for every shirt , smith bought a shirt at rs . 560 . and what was the shop ' s original selling price ?

2gain

what is the least number of square tiles required to pave the floor of a room 10 m 17 cm long and 9 m 9 cm broad ?

1physics

if a person walks at 15 km / hr instead of 9 km / hr , he would have walked 20 km more . the time traveled by him is ?

0general

the sum of 3 consecutive odd natural numbers , each divisible by 3 is 72 . what is the largest among them ?

0general

if sum of two no . is 12 and subtraction to that is 4 . so how much min . should added to smaller no . to make it even ?

0general

consider a lady took a loan from a bank at the rate of 12 % p . a . simple interest . after 3 years she had to pay rs . 5400 interest only for the period . the principal amount borrowed by her was

2gain

a store reported total sales of $ 385 million for february of this year . if the total sales for the same month last year was $ 320 million , approximately what was the percent increase q in sales ?

0general

one computer can upload 120 megabytes worth of data in 6 seconds . two computers , including this one , working together , can upload 1300 megabytes worth of data in 42 seconds . how long would it take for the second computer , working on its own , to upload 120 megabytes of data ?

1physics

set k contains every multiple of 6 from 18 to 306 inclusive . if w is the median of set k , and x is the average ( arithmetic mean ) of set k , what is the value of w - x ?

0general

# p is defined as 2 p + 20 for any number p . what is p , if # ( # ( # p ) ) = 4 ?

0general

if n = 3 ^ 0.15 and n ^ b = 9 , b must equal

0general

two trains , one from howrah to patna and the other from patna to howrah , start simultaneously . after they meet , the trains reach their destinations after 36 hours and 16 hours respectively . the ratio of their speeds is ?

1physics

john makes $ 55 a week from his job . he earns a raise andnow makes $ 60 a week . what is the % increase ?

2gain

what is the sum of all the prime numbers greater than 10 but less than 40 ?

0general

the value of a machine depreciates at the rate of 10 % every year . it was purchased 3 years ago . if its present value is rs . 8748 , its purchase price was

2gain

find 95 × × 97

0general

what is the units digit of 17 ^ 73 × 13 ^ 82 × 11 ^ 87 ?

0general

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 70 cents more than the commodity y ?

0general

how many bricks , each measuring 100 cm x 11.25 cm x 6 cm , will be needed to build a wall of 8 m x 6 m x 22.5 cm ?

1physics

real - estate salesman z is selling a house at a 20 percent discount from its retail price . real - estate salesman x vows to match this price , and then offers an additional 10 percent discount . real - estate salesman y decides to average the prices of salesmen z and x , then offer an additional 25 percent discount . salesman y ' s final price is what fraction of salesman x ' s final price ?

0general

if a - b = 3 and a ^ 2 + b ^ 2 = 28 , find the value of ab .

0general

a group of men decided to do a work in 20 days , but 10 of them became absent . if the rest of the group did the work in 40 days , find the original number of men ?

1physics

mr . karan borrowed a certain amount at 6 % per annum simple interest for 9 years . after 9 years , he returned rs . 8310 / - . find out the amount that he borrowed .

2gain

an article is bought for rs . 980 and sold for rs . 788 , find the loss percent ?

2gain

out of 15 students in a class , 7 are from maharashtra , 5 are from karnataka , and 3 are from goa . four students are to be selected at random . what are the chances that at least one is from karnataka ?

4probability

suppose that f ( x ) is a function such that for every real number x , i ) f ( x ) + f ( 1 - x ) = 10 and ( ii ) f ( 1 + x ) = 3 + f ( x ) . then f ( x ) + f ( - x ) must equal

0general

each child has 12 crayons and 24 apples . if there are 18 children , how many crayons are there in total ?

0general

in a certain warehouse , 90 percent of the packages weigh less than 75 pounds , and a total of 48 packages weigh less than 25 pounds . if 80 percent of the packages weigh at least 25 pounds , how many of the packages weigh at least 25 pounds but less than 75 pounds ?

0general

what is the units digit of the expression 14 ^ 7 − 19 ^ 4 ?

0general

there are two concentric circles such that the area of the outer circle is four times the area of the inner circle . let a , b and c be three distinct points on the perimeter of the outer circle such that ab and ac are tangents to the inner circle . if the area of the outer circle is 12 square centimetres then the area ( in square centimetres ) of the triangle abc would be

3geometry

if 425 / 999 = 0.125 , what is the 81 st digit to the right of the decimal point in the decimal equivalent of the fraction ?

0general

a and b start a business , with a investing the total capital of rs . 500000 , on the condition that b pays a interest @ 10 % per annum on his half of the capital . a is a working partner and receives rs . 15000 per month from the total profit and any profit remaining is equally shared by both of them . at the end of the year , it was found that the income of a is twice that of b . find the total profit for the year ?

2gain

if p and q are prime numbers , how many divisors does the product p ^ 2 * q ^ 5 have ?

0general

the figure above shows the dimensions of a semicircular cross section of a one - way tunnel . the single traffic lane is 12 feet wide and is equidistant from the sides of the tunnel . if vehicles must clear the top of the tunnel by at least ½ foot when they are inside the traffic lane , what should be the limit l on the height of vehicles that are allowed to use the tunnel ?

1physics

a factory has 15 machines of equal efficiency in its factory . the annual manufacturing costs are rs . 42000 & establishment charges are rs . 12000 . the annual output of the company is rs . 70000 . the annual output and manufacturing costs are directly proportional to the number of machines . the shareholders get 12 . 512.5 profit , which is directly proportional to the annual output of the company . if 7 . 147.14 machines remain closed throughout the year , then the % decrease in the amountof profit of the shareholders would be ?

2gain

the h . c . f of two numbers is 23 and the other two factors of their l . c . m are 11 and 12 . the larger of the two numbers is :

5other

the present population of a town is 3600 . population increase rate is 20 % p . a . find the population of town before 2 years ?

2gain

evaluate : 20 - 12 ÷ 4 × 2 =

0general

the average of a batsman for 40 innings is 50 runs . his highest score exceeds his lowest score by 172 runs . if these two innings are excluded , his average drops by 2 runs . find his highest score .

0general

a corporation paid $ 9 million in federal taxes on its first $ 50 million of gross profits and then $ 30 million in federal taxes on the next $ 150 million in gross profits . by approximately what percent did the ratio of federal taxes to gross profits increase from the first $ 50 million in profits to the next $ 150 million in profits ?

2gain

the height of the wall is 6 times its width and length of the wall is 7 times its height . if the volume of the wall be 129024 cu . m . its width is

1physics

evaluate : 136.09 + 43.9

0general

16 balls are numbered 1 to 16 . a ball is drawn and then another ball is drawn without replacement . what is the probability that both balls have even numbers ?

5other

the number of years of service of the 8 employees in a production department are 15 , 10 , 9 , 17 , 6 , 3 , 14 and 16 . what is the range in the number of years of service of the 8 employees ?

0general

how many factors of 440 are odd numbers greater than 1 ?

5other

annika hikes at a constant rate of 10 minutes per kilometer . she has hiked 2.5 kilometers east from the start of a hiking trail when she realizes that she has to be back at the start of the trail in 35 minutes . if annika continues east , then turns around and retraces her path to reach the start of the trail in exactly 35 minutes , for how many kilometers total did she hike east ?

1physics

the average temperature of the town in the first 4 days of a month was 58 degrees . the average for the second , third , fourth and fifth days was 59 degrees . if the temperatures of the first and fifth days were in the ratio 7 : 8 , then what is the temperature on the fifth day ?

1physics

49 ã — 49 ã — 49 ã — 49 x 49 = 7 ?

0general

reena took a loan of $ . 1200 with simple interest for as many years as the rate of interest . if she paid $ 108 as interest at the end of the loan period , what was the rate of interest ?

2gain

today joelle opened an interest - bearing savings account and deposited $ 5,000 . if the annual interest rate is 4 percent compounded interest , and she neither deposits nor withdraws money for exactly 2 years , how much money will she have in the account ?

2gain

ana climbs up stairs 20 floors building and back . she takes the exact same route both ways . on the trip up she climbs an average speed of 2 steps per second . on the trip back she climbs down at an average speed of 4 steps per second . what is her approximate average speed for the round trip in miles per hour ?

1physics

a cube of edge 6 cm is cut into cubes each of edge 2 cm . the ratio of the total surface area of one of the small cubes to that of the large cube is equal to :

3geometry

two positive integers differ by 4 , and sum of their reciprocals is 6 . then one of the numbers is

0general

if a mixture is 3 ⁄ 7 alcohol by volume and 4 ⁄ 7 water by volume , what is the ratio of the volume of alcohol to the volume of water in this mixture ?

0general

the ratio of two quantities is 4 : 3 . if each of the quantities is decreased by 8 , their ratio changes to 3 : 1 then the smallest number is ?

5other

the instructions state that cheryl needs 4 / 19 square yards of one type of material and 2 / 13 square yards of another type of material for a project . she buys exactly that amount . after finishing the project , however , she has 4 / 26 square yards left that she did not use . what is the total amount of square yards of material cheryl used ?

0general

running at the same constant rate , 6 identical machines can produce a total of 270 bottles per minute . at this rate , how many bottles could 16 such machines produce in 4 minutes ?

2gain

all the milk in container a which was filled to its brim was poured into two containers b and c . the quantity of milk in container b was 62.5 % less than the capacity of container a . if 154 liters was now transferred from c to b , then both the containers would have equal quantities of milk . what was the initial quantity of milk in container a ?

0general

of the 170 people at a party , 70 were women , and 30 women tried the appetizer . if 60 people did not try the appetizer , what is the total number of men who tried the appetizer ?

0general

on dividing a number by 7 , we get 5 as quotient and 0 as remainder . on dividing the same number by 11 , what will be the remainder ?

0general

if a 10 percent deposit that has been paid toward the purchase of a certain product is $ 130 , how much more remains to be paid ?

0general

a man swims downstream 36 km and upstream 18 km taking 6 hours each time , what is the speed of the man in still water ?

1physics

a rectangular block 12 cm by 36 cm by 60 cm is cut into an exact number of equal cubes . find the least possible number of cubes ?

3geometry

a man swims downstream 65 km and upstream 35 km taking 5 hours each time ; what is the speed of the current ?

1physics

a , b and c started a business with capitals of rs . 8000 , rs . 10000 and rs . 12000 respectively . at the end of the year , the profit share of b is rs . 3500 . the difference between the profit shares of a and c is ?

2gain

how many pieces of 75 cm can be cut from a rope 60 meters long ?

1physics