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

Problem stringlengths 5 967	category class label 6 classes
robin ' s average ( arithmetic mean ) test score on 9 tests is 82 . what must be robin ' s score on a 10 th test for his average score on the 10 tests to be 83 ?	0general
the simple form of the ratio 9 / 8 : 3 / 4 is ?	5other
a goods train runs at the speed of 72 km / hr and crosses a 210 m long platform in 26 sec . what is the length of the goods train ?	1physics
linda spent 3 / 4 of her savings on furniture and the rest on a tv . if the tv cost her $ 220 , what were her original savings ?	0general
i have only 1 $ and 2 $ note . i want to give 95 $ to john . how many maximum number of 2 $ note i need ?	0general
if 10,000 microns = 1 decimeter , and 10,000 , 000,000 angstroms = 1 decimeter , how many angstroms equal 1 micron ?	0general
a train 125 m long crosses a platform 125 m long in 14 sec ; find the speed of the train ?	1physics
salad dressing p is made up of 30 % vinegar and 70 % oil , and salad dressing q contains 10 % vinegar and 90 % oil . if the two dressings are combined to produce a salad dressing that is 12 % vinegar , dressing p comprises what percentage of the new dressing ?	2gain
what is the compound interest paid on a sum of rs . 3500 for the period of 2 years at 10 % per annum .	2gain
a grand father has 3 grand children . age difference of two children among them is 3 . eldest child age is 3 times the youngest child ’ s age and the eldest child age is two year more than the sum of age of other two children . what is the age of the eldest child ?	0general
rs . 1500 is divided into two parts such that if one part is invested at 6 % and the other at 5 % the whole annual interest from both the sum is rs . 87 . how much was lent at 5 % ?	2gain
what is the lowest positive integer that is divisible by 4 through 7 , inclusive ?	0general
of the people who responded to a market survey , 60 preferred brand x and the rest preferred brand y . if the respondents indicated a preference for brand x over brand y by ratio of 3 to 1 , how many people responded to the survey ?	5other
the average of 50 numbers id 38 . if two numbers , namely 45 and 55 are discarded , the average of the remaining numbers is :	0general
when fair coin is tossed 9 times find the probability of getting head at least once .	4probability
an outlet pipe empties a tank which is full in 10 hours . if the inlet pipe is kept open , which lets water in at the rate of 16 litres / min then outlet pipe would take 8 hours longer . find the capacity of the tank .	1physics
in a certain company , a third of the workers do not have a retirement plan . 50 % of the workers who do not have a retirement plan are women , and 40 % of the workers who do have a retirement plan are men . if 120 of the workers of that company are men , how many of the workers are women ?	2gain
which number need to add to 1782452 to get a number exactly divisible by 92 ?	0general
a boat takes 19 hours for travelling downstream fro poin a to point b and coming back to a point c midway between a and b . if the velocity of the stream is 4 kmph and the speed of the boat in still water is 14 kmph , what is the distance between a and b ?	1physics
city x has a population 7 times as great as the population of city y , which has a population twice as great as the population of city z . what is the ratio of the population of city x to the population of city z ?	0general
in a certain supermarket , a triangular display of cans is arranged in 10 rows , numbered 1 through 10 from top to bottom . each successively numbered row contains 3 more cans than the row immediately above it . if there are fewer than 150 cans in the entire display , how many cans are in the sixth row ?	0general
in a new housing development , trees are to be planted along the sidewalk of a certain street . each tree takes up one square foot of sidewalk space , and there are to be 20 feet between each tree . how many trees can be planted if the road is 148 feet long ?	3geometry
20 balls are numbered 1 to 20 . a ball is drawn and then another ball is drawn without replacement . what is the probability that both balls have even numbers ?	5other
how long does a train 120 m long travelling at 60 kmph takes to cross a bridge of 170 m in length ?	1physics
the probability that a number selected at random from first 50 natural numbers is a composite number is	4probability
the speed of a train is 90 kmph . what is the distance covered by it in 15 minutes ?	1physics
225 , or 15 ^ 2 , is the first perfect square that begins with two 2 s . what is the sum of the digits of the next perfect square to begin with two 2 s ?	0general
what is the angle between the two hands of a clock when time is 8 : 30	3geometry
two trains are moving at 80 kmph and 70 kmph in opposite directions . their lengths are 150 m and 100 m respectively . the time they will take to pass each other completely is ?	1physics
if x > 0 , x / 50 + x / 25 is what percent of x ?	0general
the price of commodity p increases by 40 paise every year , while the price of commodity q increases by 15 paise every year . if in 2001 , the price of commodity p was rs . 4.20 and that of q was rs . 6.30 , in which year commodity p will cost 40 paise more than the commodity q ?	0general
a train 110 m long running at 52 kmph crosses a platform in 30 sec . what is the length of the platform ?	1physics
when magnified 1,000 times by an electron microscope , the image of a certain circular piece of tissue has a diameter of 1 centimeter . the actual diameter of the tissue , in centimeters , is	3geometry
the distance from city a to city b is 120 miles . while driving from city a to city b , cara drives at a constant speed of 30 miles per hour . dan leaves city a 90 minutes after cara . what is the minimum constant speed in miles per hour that dan must exceed in order to arrive in city b before cara ?	1physics
a and b began business with rs . 2000 and rs . 4000 after 8 months , a withdraws rs . 1000 and b advances rs . 1000 more . at the end of the year , their profits amounted to rs . 630 find the share of a .	2gain
a fair coin is tossed 9 times . what is the probability of getting more heads than tails in 9 tosses ?	4probability
if 18 bindres bind 900 books in 10 days , how many binders will be required to bind 660 books in 12 days ?	1physics
if a ã — b = 2 a - 3 b + ab , then 1 ã — 2 + 2 ã — 1 is equal to :	0general
when a train travels at a speed of 80 kmph , it reaches the destination on time . when the same train travels at a speed of 50 kmph , it reaches its destination 15 min late . what is the length of journey ?	1physics
a train running at the speed of 60 km / hr crosses a pole in 4 seconds . find the length of the train .	1physics
the average marks of a class of 30 students is 40 and that of another class of 50 students is 60 . find the average marks of all the students ?	0general
75 men working 8 hours per day dig 50 m deep . how many extra men should be put to dig to a depth of 70 m working 6 hours per day ?	1physics
on a certain date , pat invested $ 5,000 at x percent annual interest , compounded annually . if the total value of the investment plus interest at the end of 12 years will be $ 20,000 , in how many years , the total value of the investment plus interest will increase to $ 30,000 ?	0general
a clock store sold a certain clock to a collector for 20 percent more than the store had originally paid for the clock . when the collector tried to resell the clock to the store , the store bought it back at 50 percent of what the collector had paid . the shop then sold the clock again at a profit of 80 percent on its buy - back price . if the difference between the clock ' s original cost to the shop and the clock ' s buy - back price was $ 100 , for how much did the shop sell the clock the second time ?	0general
the average of first six prime numbers greater than 3 is ?	0general
positive integer y is 50 percent of 50 percent of positive integer x , and 2 y percent of x equals 100 . what is the value of x ?	0general
nhai employs 100 men to build a highway of 2 km in 50 days working 8 hours a day . if in 25 days they completed 1 / 3 part of work . than how many more employees should nhai hire to finish it in time working 10 hours a day ?	1physics
find the principle on a certain sum of money at 5 % per annum for 2 2 / 5 years if the amount being rs . 1680 ?	0general
if x : y = 1 : 2 , find the value of ( 2 x + 3 y ) : ( x + 4 y )	0general
what number has a 5 : 1 ratio to the number 13 ?	5other
three cubes of metal whose edges are 5 , 10 and 15 cm respectively , are melted and one new cube is made . find the edge of the new cube ?	1physics
a train 490 m long , running with a speed of 63 km / hr will pass a tree in ?	1physics
the dimensions of a field are 20 m by 5 m . a pit 10 m long , 4 m wide and 3 m deep is dug in one corner of the field and the earth removed has been evenly spread over the remaining area of the field . what will be the rise in the height of field as a result of this operation ?	5other
a 600 meter long train crosses a signal post in 60 seconds . how long will it take to cross a 3 kilometer long bridge , at the same speed ?	1physics
george does 3 / 5 th of a piece of work in 9 days . he then calls in paul , and they finish the work in 4 days . how long would paul take to do the work by himself ?	1physics
a boat sails 15 km of a river towards upstream in 5 hours . how long will it take to cover the same distance downstream , if the speed of current is one - fourth the speed of the boat in still water :	1physics
if 15 % of a is the same as 20 % of b , then a : b is :	2gain
a man whose speed is 7.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph , find his average speed for the total journey ?	0general
there is 60 % increase in an amount in 6 years at si . what will be the ci of rs . 16,000 after 3 years at the same rate ?	2gain
along a yard 255 metres long , 18 trees are palnted at equal distances , one tree being at each end of the yard . what is the distance between two consecutive trees	1physics
if the cost price is 92 % of the selling price , then what is the profit percent ?	2gain
how much time will a train of length 280 m moving at a speed of 72 kmph take to cross another train of length 360 m , moving at 36 kmph in the same direction ?	1physics
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 16 hours and 81 hours respectively . the ratio of their speeds is ?	1physics
sandy is younger than molly by 10 years . if their ages are in the respective ratio of 7 : 9 , how old is molly ?	5other
if x * y = xy – 2 ( x + y ) for all integers x and y , then 5 * ( – 3 ) =	0general
two assembly line inspectors , lauren and steven , inspect widgets as they come off the assembly line . if lauren inspects every fourth widget , starting with the fourth , and steven inspects every third , starting with the third , how many of the 98 widgets produced in the first hour of operation are not inspected by either inspector ?	5other
on the first of the year , james invested x dollars at proudstar bank in an account that yields 2.2 % in interest every quarter year . at the end of the year , during which he made no additional deposits or withdrawals , he had y dollars in the account . if james had invested the same amount in an account which pays interest on a yearly basis , what must the interest rate be for james to have y dollars at the end of the year ?	2gain
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 9 : 00 , how many seconds elapse between the beginning of the first stroke and the end of the last stroke ?	0general
find the compound interest on $ 50000 in 2 years at 4 % per annum , the interest being compounded half - yearly ?	2gain
i travel the first part of my journey at 40 kmph and the second part at 60 kmph and cover the total distance of 240 km to my destination in 5 hours . how long did the first part of my journey last ?	1physics
the set s has 36 different subsets each of which contains exactly two elements . how many subsets of s could contain exactly 7 elements each ?	0general
a 100 - litre mixture of milk and water contains 36 litres of milk . ' x ' litres of this mixture is removed and replaced with an equal quantum of water . if the process is repeated once , then the concentration of the milk stands reduced at 25 % . what is the value of x ?	0general
x + ( 1 / x ) = 4 find x ^ 2 + ( 1 / x ^ 2 )	0general
a present value of a machine is $ 1200 . its value depletion rate is 10 % per annum then find the machine value after 2 years ?	2gain
the surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 16 cm each . the radius of the sphere is	3geometry
for what value of k will the two equations 2 x + 4 = 4 ( x - 2 ) and - x + k = 2 x - 1 have the same solution ?	0general
the owner of a furniture shop charges his customer 24 % more than the cost price . if a customer paid rs . 7967 for a computer table , then what was the cost price of the computer table ?	2gain
a fair price shopkeeper takes 10 % profit on his goods . he lost 20 % goods during theft . his loss percent is ?	2gain
a boat having a length 4 m and breadth 2 m is floating on a lake . the boat sinks by 1 cm when a man gets on it . the mass of the man is :	1physics
for an international mathematics olympiad , country d will send 6 delegates in total — two will be supervisors and 4 will be contestants . there are 210 ways in which the 6 delegates can be chosen and there are 7 candidates competing for the 4 contestants ’ places available . how many candidates are competing for the two supervisors ’ slots available ?	0general
a certain car can travel 40 minutes on a gallon of gasoline at 80 miles per hour . if the car had started with a full tank and had 8 gallons of gasoline left in its tank at the end , then what percent of the tank was used to travel 80 miles at 80 mph ?	1physics
the cross - section of a water channel is a trapezium in shape . if the channel is 12 meters wide at the top and 8 meters wide at the bottom and the area of cross - section is 700 square meters , what is the depth of the channel ( in meters ) ?	1physics
cricket match is conducted in us . the run rate of a cricket game was only 3.2 in first 10 over . what should be the run rate in the remaining 40 overs to reach the target of 292 runs ?	2gain
simple interest on a certain sum of money for 3 years at 8 % per annum is half the compound interest on rs . 4000 for 2 years at 10 % per annum . the sum placed on simple interest is :	2gain
the product z of two prime numbers is between 20 and 56 . if one of the prime numbers is greater than 2 but less than 6 and the other is greater than 14 but less than 30 then what is z ?	0general
5800 * 99	0general
3 numbers are such that the second is as much lesser than thr third as the first is lesser than the second . if the product of the two smaller numbers is 85 and product of two larger number is 115 then find the middle number	0general
after decreasing 20 % in the price of an article costs rs . 200 . find the actual cost of an article ?	2gain
the sale price sarees listed for rs . 480 after successive discount is 15 % and 25 % is ?	2gain
the sum of all solutions for x in the equation x ^ 2 – 8 x + 21 = \| x – 4 \| + 7 is equal to :	0general
p , q and r together earn rs . 1620 in 9 days . p and r can earn rs . 600 in 5 days . q and r in 7 days can earn rs . 910 . how much amount does r can earn per day ?	1physics
a certain university will select 1 of 9 candidates eligible to fill a position in the mathematics department and 2 of 15 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ?	5other
two motor cycles a & b are started from one point at 4 kmph & 6 kmph ; after 45 min b starts returning , at what time they will meet ?	1physics
if 20 % of a number = 1000 , then 120 % of that number will be ?	2gain
the average of marks obtained by 120 candidates was 35 . if the avg of marks of passed candidates was 39 & that of failed candidates was 39 and that of failed candidates was 15 , the no . of candidates who passed the examination is ?	0general
a certain sum of money is divided among a , b and c so that for each rs . a has , b has 65 paisa and c 40 paisa . if c ' s share is rs . 32 , find the sum of money ?	0general
an article is bought for rs . 675 and sold for rs . 945 , find the gain percent ?	2gain
on the first of the year , james invested x dollars at proudstar bank in an account that yields 1.5 % in interest every quarter year . at the end of the year , during which he made no additional deposits or withdrawals , he had y dollars in the account . if james had invested the same amount in an account which pays interest on a yearly basis , what must the interest rate be for james to have y dollars at the end of the year ?	2gain
a 1 , a 5 , a 13 ( terms of ap ) are in gp and a 6 + a 15 = 63 . find a 23	0general
if 3 / p = 4 & 3 / q = 18 then p - q = ?	0general

robin ' s average ( arithmetic mean ) test score on 9 tests is 82 . what must be robin ' s score on a 10 th test for his average score on the 10 tests to be 83 ?

0general

the simple form of the ratio 9 / 8 : 3 / 4 is ?

5other

a goods train runs at the speed of 72 km / hr and crosses a 210 m long platform in 26 sec . what is the length of the goods train ?

1physics

linda spent 3 / 4 of her savings on furniture and the rest on a tv . if the tv cost her $ 220 , what were her original savings ?

0general

i have only 1 $ and 2 $ note . i want to give 95 $ to john . how many maximum number of 2 $ note i need ?

0general

if 10,000 microns = 1 decimeter , and 10,000 , 000,000 angstroms = 1 decimeter , how many angstroms equal 1 micron ?

0general

a train 125 m long crosses a platform 125 m long in 14 sec ; find the speed of the train ?

1physics

salad dressing p is made up of 30 % vinegar and 70 % oil , and salad dressing q contains 10 % vinegar and 90 % oil . if the two dressings are combined to produce a salad dressing that is 12 % vinegar , dressing p comprises what percentage of the new dressing ?

2gain

what is the compound interest paid on a sum of rs . 3500 for the period of 2 years at 10 % per annum .

2gain

a grand father has 3 grand children . age difference of two children among them is 3 . eldest child age is 3 times the youngest child ’ s age and the eldest child age is two year more than the sum of age of other two children . what is the age of the eldest child ?

0general

rs . 1500 is divided into two parts such that if one part is invested at 6 % and the other at 5 % the whole annual interest from both the sum is rs . 87 . how much was lent at 5 % ?

2gain

what is the lowest positive integer that is divisible by 4 through 7 , inclusive ?

0general

of the people who responded to a market survey , 60 preferred brand x and the rest preferred brand y . if the respondents indicated a preference for brand x over brand y by ratio of 3 to 1 , how many people responded to the survey ?

5other

the average of 50 numbers id 38 . if two numbers , namely 45 and 55 are discarded , the average of the remaining numbers is :

0general

when fair coin is tossed 9 times find the probability of getting head at least once .

4probability

an outlet pipe empties a tank which is full in 10 hours . if the inlet pipe is kept open , which lets water in at the rate of 16 litres / min then outlet pipe would take 8 hours longer . find the capacity of the tank .

1physics

in a certain company , a third of the workers do not have a retirement plan . 50 % of the workers who do not have a retirement plan are women , and 40 % of the workers who do have a retirement plan are men . if 120 of the workers of that company are men , how many of the workers are women ?

2gain

which number need to add to 1782452 to get a number exactly divisible by 92 ?

0general

a boat takes 19 hours for travelling downstream fro poin a to point b and coming back to a point c midway between a and b . if the velocity of the stream is 4 kmph and the speed of the boat in still water is 14 kmph , what is the distance between a and b ?

1physics

city x has a population 7 times as great as the population of city y , which has a population twice as great as the population of city z . what is the ratio of the population of city x to the population of city z ?

0general

in a certain supermarket , a triangular display of cans is arranged in 10 rows , numbered 1 through 10 from top to bottom . each successively numbered row contains 3 more cans than the row immediately above it . if there are fewer than 150 cans in the entire display , how many cans are in the sixth row ?

0general

in a new housing development , trees are to be planted along the sidewalk of a certain street . each tree takes up one square foot of sidewalk space , and there are to be 20 feet between each tree . how many trees can be planted if the road is 148 feet long ?

3geometry

20 balls are numbered 1 to 20 . a ball is drawn and then another ball is drawn without replacement . what is the probability that both balls have even numbers ?

5other

how long does a train 120 m long travelling at 60 kmph takes to cross a bridge of 170 m in length ?

1physics

the probability that a number selected at random from first 50 natural numbers is a composite number is

4probability

the speed of a train is 90 kmph . what is the distance covered by it in 15 minutes ?

1physics

225 , or 15 ^ 2 , is the first perfect square that begins with two 2 s . what is the sum of the digits of the next perfect square to begin with two 2 s ?

0general

what is the angle between the two hands of a clock when time is 8 : 30

3geometry

two trains are moving at 80 kmph and 70 kmph in opposite directions . their lengths are 150 m and 100 m respectively . the time they will take to pass each other completely is ?

1physics

if x > 0 , x / 50 + x / 25 is what percent of x ?

0general

the price of commodity p increases by 40 paise every year , while the price of commodity q increases by 15 paise every year . if in 2001 , the price of commodity p was rs . 4.20 and that of q was rs . 6.30 , in which year commodity p will cost 40 paise more than the commodity q ?

0general

a train 110 m long running at 52 kmph crosses a platform in 30 sec . what is the length of the platform ?

1physics

when magnified 1,000 times by an electron microscope , the image of a certain circular piece of tissue has a diameter of 1 centimeter . the actual diameter of the tissue , in centimeters , is

3geometry

the distance from city a to city b is 120 miles . while driving from city a to city b , cara drives at a constant speed of 30 miles per hour . dan leaves city a 90 minutes after cara . what is the minimum constant speed in miles per hour that dan must exceed in order to arrive in city b before cara ?

1physics

a and b began business with rs . 2000 and rs . 4000 after 8 months , a withdraws rs . 1000 and b advances rs . 1000 more . at the end of the year , their profits amounted to rs . 630 find the share of a .

2gain

a fair coin is tossed 9 times . what is the probability of getting more heads than tails in 9 tosses ?

4probability

if 18 bindres bind 900 books in 10 days , how many binders will be required to bind 660 books in 12 days ?

1physics

if a ã — b = 2 a - 3 b + ab , then 1 ã — 2 + 2 ã — 1 is equal to :

0general

when a train travels at a speed of 80 kmph , it reaches the destination on time . when the same train travels at a speed of 50 kmph , it reaches its destination 15 min late . what is the length of journey ?

1physics

a train running at the speed of 60 km / hr crosses a pole in 4 seconds . find the length of the train .

1physics

the average marks of a class of 30 students is 40 and that of another class of 50 students is 60 . find the average marks of all the students ?

0general

75 men working 8 hours per day dig 50 m deep . how many extra men should be put to dig to a depth of 70 m working 6 hours per day ?

1physics

on a certain date , pat invested $ 5,000 at x percent annual interest , compounded annually . if the total value of the investment plus interest at the end of 12 years will be $ 20,000 , in how many years , the total value of the investment plus interest will increase to $ 30,000 ?

0general

a clock store sold a certain clock to a collector for 20 percent more than the store had originally paid for the clock . when the collector tried to resell the clock to the store , the store bought it back at 50 percent of what the collector had paid . the shop then sold the clock again at a profit of 80 percent on its buy - back price . if the difference between the clock ' s original cost to the shop and the clock ' s buy - back price was $ 100 , for how much did the shop sell the clock the second time ?

0general

the average of first six prime numbers greater than 3 is ?

0general

positive integer y is 50 percent of 50 percent of positive integer x , and 2 y percent of x equals 100 . what is the value of x ?

0general

nhai employs 100 men to build a highway of 2 km in 50 days working 8 hours a day . if in 25 days they completed 1 / 3 part of work . than how many more employees should nhai hire to finish it in time working 10 hours a day ?

1physics

find the principle on a certain sum of money at 5 % per annum for 2 2 / 5 years if the amount being rs . 1680 ?

0general

if x : y = 1 : 2 , find the value of ( 2 x + 3 y ) : ( x + 4 y )

0general

what number has a 5 : 1 ratio to the number 13 ?

5other

three cubes of metal whose edges are 5 , 10 and 15 cm respectively , are melted and one new cube is made . find the edge of the new cube ?

1physics

a train 490 m long , running with a speed of 63 km / hr will pass a tree in ?

1physics

the dimensions of a field are 20 m by 5 m . a pit 10 m long , 4 m wide and 3 m deep is dug in one corner of the field and the earth removed has been evenly spread over the remaining area of the field . what will be the rise in the height of field as a result of this operation ?

5other

a 600 meter long train crosses a signal post in 60 seconds . how long will it take to cross a 3 kilometer long bridge , at the same speed ?

1physics

george does 3 / 5 th of a piece of work in 9 days . he then calls in paul , and they finish the work in 4 days . how long would paul take to do the work by himself ?

1physics

a boat sails 15 km of a river towards upstream in 5 hours . how long will it take to cover the same distance downstream , if the speed of current is one - fourth the speed of the boat in still water :

1physics

if 15 % of a is the same as 20 % of b , then a : b is :

2gain

a man whose speed is 7.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph , find his average speed for the total journey ?

0general

there is 60 % increase in an amount in 6 years at si . what will be the ci of rs . 16,000 after 3 years at the same rate ?

2gain

along a yard 255 metres long , 18 trees are palnted at equal distances , one tree being at each end of the yard . what is the distance between two consecutive trees

1physics

if the cost price is 92 % of the selling price , then what is the profit percent ?

2gain

how much time will a train of length 280 m moving at a speed of 72 kmph take to cross another train of length 360 m , moving at 36 kmph in the same direction ?

1physics

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 16 hours and 81 hours respectively . the ratio of their speeds is ?

1physics

sandy is younger than molly by 10 years . if their ages are in the respective ratio of 7 : 9 , how old is molly ?

5other

if x * y = xy – 2 ( x + y ) for all integers x and y , then 5 * ( – 3 ) =

0general

two assembly line inspectors , lauren and steven , inspect widgets as they come off the assembly line . if lauren inspects every fourth widget , starting with the fourth , and steven inspects every third , starting with the third , how many of the 98 widgets produced in the first hour of operation are not inspected by either inspector ?

5other

on the first of the year , james invested x dollars at proudstar bank in an account that yields 2.2 % in interest every quarter year . at the end of the year , during which he made no additional deposits or withdrawals , he had y dollars in the account . if james had invested the same amount in an account which pays interest on a yearly basis , what must the interest rate be for james to have y dollars at the end of the year ?

2gain

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 9 : 00 , how many seconds elapse between the beginning of the first stroke and the end of the last stroke ?

0general

find the compound interest on $ 50000 in 2 years at 4 % per annum , the interest being compounded half - yearly ?

2gain

i travel the first part of my journey at 40 kmph and the second part at 60 kmph and cover the total distance of 240 km to my destination in 5 hours . how long did the first part of my journey last ?

1physics

the set s has 36 different subsets each of which contains exactly two elements . how many subsets of s could contain exactly 7 elements each ?

0general

a 100 - litre mixture of milk and water contains 36 litres of milk . ' x ' litres of this mixture is removed and replaced with an equal quantum of water . if the process is repeated once , then the concentration of the milk stands reduced at 25 % . what is the value of x ?

0general

x + ( 1 / x ) = 4 find x ^ 2 + ( 1 / x ^ 2 )

0general

a present value of a machine is $ 1200 . its value depletion rate is 10 % per annum then find the machine value after 2 years ?

2gain

the surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 16 cm each . the radius of the sphere is

3geometry

for what value of k will the two equations 2 x + 4 = 4 ( x - 2 ) and - x + k = 2 x - 1 have the same solution ?

0general

the owner of a furniture shop charges his customer 24 % more than the cost price . if a customer paid rs . 7967 for a computer table , then what was the cost price of the computer table ?

2gain

a fair price shopkeeper takes 10 % profit on his goods . he lost 20 % goods during theft . his loss percent is ?

2gain

a boat having a length 4 m and breadth 2 m is floating on a lake . the boat sinks by 1 cm when a man gets on it . the mass of the man is :

1physics

for an international mathematics olympiad , country d will send 6 delegates in total — two will be supervisors and 4 will be contestants . there are 210 ways in which the 6 delegates can be chosen and there are 7 candidates competing for the 4 contestants ’ places available . how many candidates are competing for the two supervisors ’ slots available ?

0general

a certain car can travel 40 minutes on a gallon of gasoline at 80 miles per hour . if the car had started with a full tank and had 8 gallons of gasoline left in its tank at the end , then what percent of the tank was used to travel 80 miles at 80 mph ?

1physics

the cross - section of a water channel is a trapezium in shape . if the channel is 12 meters wide at the top and 8 meters wide at the bottom and the area of cross - section is 700 square meters , what is the depth of the channel ( in meters ) ?

1physics

cricket match is conducted in us . the run rate of a cricket game was only 3.2 in first 10 over . what should be the run rate in the remaining 40 overs to reach the target of 292 runs ?

2gain

simple interest on a certain sum of money for 3 years at 8 % per annum is half the compound interest on rs . 4000 for 2 years at 10 % per annum . the sum placed on simple interest is :

2gain

the product z of two prime numbers is between 20 and 56 . if one of the prime numbers is greater than 2 but less than 6 and the other is greater than 14 but less than 30 then what is z ?

0general

5800 * 99

0general

3 numbers are such that the second is as much lesser than thr third as the first is lesser than the second . if the product of the two smaller numbers is 85 and product of two larger number is 115 then find the middle number

0general

after decreasing 20 % in the price of an article costs rs . 200 . find the actual cost of an article ?

2gain

the sale price sarees listed for rs . 480 after successive discount is 15 % and 25 % is ?

2gain

the sum of all solutions for x in the equation x ^ 2 – 8 x + 21 = | x – 4 | + 7 is equal to :

0general

p , q and r together earn rs . 1620 in 9 days . p and r can earn rs . 600 in 5 days . q and r in 7 days can earn rs . 910 . how much amount does r can earn per day ?

1physics

a certain university will select 1 of 9 candidates eligible to fill a position in the mathematics department and 2 of 15 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ?

5other

two motor cycles a & b are started from one point at 4 kmph & 6 kmph ; after 45 min b starts returning , at what time they will meet ?

1physics

if 20 % of a number = 1000 , then 120 % of that number will be ?

2gain

the average of marks obtained by 120 candidates was 35 . if the avg of marks of passed candidates was 39 & that of failed candidates was 39 and that of failed candidates was 15 , the no . of candidates who passed the examination is ?

0general

a certain sum of money is divided among a , b and c so that for each rs . a has , b has 65 paisa and c 40 paisa . if c ' s share is rs . 32 , find the sum of money ?

0general

an article is bought for rs . 675 and sold for rs . 945 , find the gain percent ?

2gain

on the first of the year , james invested x dollars at proudstar bank in an account that yields 1.5 % in interest every quarter year . at the end of the year , during which he made no additional deposits or withdrawals , he had y dollars in the account . if james had invested the same amount in an account which pays interest on a yearly basis , what must the interest rate be for james to have y dollars at the end of the year ?

2gain

a 1 , a 5 , a 13 ( terms of ap ) are in gp and a 6 + a 15 = 63 . find a 23

0general

if 3 / p = 4 & 3 / q = 18 then p - q = ?

0general