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an integer n between 1 and 99 , inclusive , is to be chosen at random . what is the probability that n ( n + 1 ) will be divisible by 3 ?
0general
in a throw of a coin probability of getting a head .
4probability
how many numbers from 10 to 40 are exactly divisible by 3 ?
0general
in a dairy farm , 45 cows eat 45 bags of husk in 45 days . in how many days one cow will eat one bag of husk ?
1physics
how many pieces of 85 cm length can be cut from a rod of 17 meters long ?
1physics
in the land of oz only one or two - letter words are used . the local language has 64 different letters . the parliament decided to forbid the use of the seventh letter . how many words have the people of oz lost because of the prohibition ?
0general
while working alone at their constant rates , computer x can process 240 files in 8 hours , and computer y can process 240 files in 6 hours . if all files processed by these computers are the same size , how many hours would it take the two computers , working at the same time at their respective constant rates , to process a total of 240 files ?
1physics
the average of 6 no . ' s is 3.95 . the average of 2 of them is 4.4 , while the average of theother 2 is 3.85 . what is the average of the remaining 2 no ' s ?
0general
two tains of equal lengths take 10 seconds and 20 seconds respectively to cross a telegraph post . if the length of each train be 120 metres , in what time ( in seconds ) will they cross each other travelling in opposite direction ?
1physics
the speed of a train including stoppages is 90 kmph and excluding stoppages is 120 kmph . of how many minutes does the train stop per hour ?
1physics
the price of a cycle is reduced by 25 per cent . the new price is reduced by a further 30 per cent . the two reductions together are equal to a single reduction of
0general
a certain industrial loom weaves 0.128 meters of cloth every second . approximately how many seconds will it take for the loom to weave 15 meters of cloth ?
1physics
# p is defined as 2 p + 20 for any number p . what is p , if # ( # ( # p ) ) = 12 ?
0general
when positive integer n is divided by positive integer j , the remainder is 14 . if n / j = 134.08 , what is value of j ?
0general
a seller of used cars has 10 cars to sell and each of his clients selected 2 cars that he liked most . if each car was selected exactly thrice , how many clients visited the garage ?
0general
two numbers are in respectively 10 % and 40 % more than a third number . the ratio of the two numbers is ?
5other
find the number of shares that can be bought for rs . 8200 if the market value is rs . 20 each with brokerage being 2.8 % .
2gain
a 300 meter long train crosses a platform in 27 seconds while it crosses a signal pole in 18 seconds . what is the length of the platform ?
1physics
the average age of a family of 6 members is 34 years . if the age of the youngest member is 7 years , what was the average age of the family at the birth of the youngest member ?
0general
the average salary of 15 people in the shipping department at a certain firm is $ 20,000 . the salary of 5 of the employees is $ 20,000 each and the salary of 4 of the employees is $ 16,000 each . what is the average salary of the remaining employees ?
0general
find the value of x in ( x / 5 ) + 3 = 4 .
0general
if a can do a work in 10 days and a and b can do a same piece of job in 5 days . in how days can do a work b alone ?
1physics
pipe a and pipe b fill water into a tank of capacity 1000 litres , at a rate of 200 l / min and 50 l / min . pipe c drains at a rate of 25 l / min . pipe a is open for 1 min and closed , then pipe b is open for 2 min and closed . further the pipe c is opened and drained for another 2 min . this process is repeated until the tank is filled . how long will it take to fill the tank ?
1physics
a car traveled 480 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city . if the car traveled 6 fewer miles per gallon in the city than on the highway , how many miles per gallon did the car travel in the city ?
1physics
what is the least number should be added to 1056 , so the sum of the number is completely divisible by 26 ?
0general
what is the smallest number which , when increased by 5 , is divisible by 7 , 8 , and 24 ?
0general
the length of a rectangle is reduced by 15 % . by what % would the width have to be increased to maintain the original area ?
3geometry
abi decided to save a certain amount of her monthly salary each month and her salary was unchanged from month to month . if abi ' s savings by the end of the year from these monthly savings were 6 times the amount she spent per month , what should be the fraction of her salary that she spent each month ?
0general
3 people who work full - time are to work together on a project , but their total time on the project is to be equivalent to that of only one person working full - time . if one of the people is budgeted for 1 / 2 of his time to the project and a second person for 1 / 3 of her time , what part of the third worker ' s time should be budgeted to this project ?
0general
the compound ratio of 1 : 2 , 3 : 2 and 4 : 5 ?
5other
in an examination , a student scores 3 marks for every correct answer and loses 1 mark for every wrong answer . if he attempts all 120 questions and secures 180 marks , the number of questions he attempts correctly , is :
1physics
a train 240 m long , running with a speed of 108 km / hr will pass a tree in ?
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 22 % vinegar , dressing p comprises what percentage of the new dressing ?
2gain
we had $ 350 left after spending 30 % of the money that we took for shopping . how much money did we start with ?
2gain
a baseball card decreased in value 30 % in its first year and 10 % in its second year . what was the total percent decrease of the card ' s value over the two years ?
2gain
when the oil from a circular cylinder leaked , the formula for the speed of the leak is v = kh ^ 2 , where h was the height of the remaining oil and k was constant . if the height of the cylinder is 4 , the speed of the leak is v â € ™ , when the height of the oil remaining is 12 , what was the speed of the leak , in terms of v â € ™ ?
3geometry
the population of bacteria culture doubles every 2 minutes . approximately how many minutes will it take for the population to grow from 1000 to 500000 bacteria ?
0general
what is 15 % of 2 / 3 of 0.8 ?
2gain
length of a rectangular plot is 40 mtr more than its breadth . if the cost of fencin g the plot at 26.50 per meter is rs . 5300 , what is the length of the plot in mtr ?
1physics
a envelop weight 8.5 gm , if 880 of these envelop are sent with an advertisement mail . how much wieght ?
0general
there are 624 students in a school . the ratio of boys and girls in this school is 3 : 5 . find the total of girls & boys are there in this school ?
5other
at a loading dock , each worker on the night crew loaded 1 / 2 as many boxes as each worker on the day crew . if the night crew has 4 / 5 as many workers as the day crew , what fraction of all the boxes loaded by the two crews did the day crew load ?
1physics
company z has 53 employees . if the number of employees having birthdays on wednesday is more than the number of employees having birthdays on any other day of the week , each of which have same number of birth - days , what is the minimum number of employees having birthdays on wednesday .
0general
the average weight of 20 persons sitting in a boat had some value . a new person added to them whose weight was 50 kg only . due to his arrival , the average weight of all the persons decreased by 5 kg . find the average weight of first 20 persons ?
0general
if 2 is one solution of the equation x ^ 2 + 3 x + k = 10 , where k is a constant , what is the other solution ?
0general
what is the least value of x , so that 2 x 5452 is divisible by 9
0general
a man bought an article and sold it at a gain of 5 % . if he had bought it at 5 % less and sold it for re 1 less , he would have made a profit of 10 % . the c . p . of the article was
2gain
the length of a rectangle is twice the breadth . if the area is 128 cm 2 , determine the length and the breadth .
3geometry
in a school with 5 classes , each class has 2 students less than the previous class . how many students are there in the largest class if the total number of students at school is 120 ?
0general
rs . 800 amounts to rs . 920 in 3 years at simple interest . if the interest is increased by 3 % , it would amount to how much ?
2gain
when positive integer n is divided by positive integer p , the quotient is 18 , with a remainder of 7 . when n is divided by ( p + 2 ) , the quotient is 15 and the remainder is 1 . what is the value of n ?
0general
car a runs at the speed of 35 km / hr & reaches its destination in 10 hr . car b runs at the speed of 25 km / h & reaches its destination in 6 h . what is the respective ratio of distances covered by car a & car b ?
1physics
the average salary of all the workers in a workshop is rs . 8000 . the average salary of 7 technicians is rs . 12000 and the average salary of the rest is rs . 6000 . how many workers are there in the workshop ?
0general
a 180 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds . what is the length of the other train ?
1physics
40 liters of a mixture is created by mixing liquid p and liquid q in the ratio 5 : 3 . how many liters of liquid q must be added to make the ratio 5 : 6 ?
0general
the digital sum of a number is the sum of its digits . for how many of the positive integers 24 - 100 inclusive is the digital sum a multiple of 7 ?
0general
a sum of money is to be distributed among a , b , c , d in the proportion of 5 : 2 : 4 : 3 . if c gets $ 500 more than d , what is d ' s share ?
0general
what is 2 2 / 3 - 1 1 / 4 divided by 1 / 2 - 1 / 5 ?
0general
mohit sold an article for $ 24000 . had he offered a discount of 10 % on the selling price , he would have earned a profit of 8 % . what is the cost price of the article ?
2gain
what is the greatest positive integer x such that 4 ^ x is a factor of 64 ^ 10 ?
0general
9.009 / 2.002 =
0general
if 45 - [ 28 - { 37 - ( 15 - * ) } ] = 59 , then * is equal to :
0general
a marketing firm determined that , of 200 households surveyed , 80 used neither brand w nor brand b soap , 60 used only brand w soap , and for every household that used both brands of soap , 3 used only brand b soap . how many of the 200 households surveyed used both brands of soap ?
5other
if the wheel is 42 cm then the number of revolutions to cover a distance of 1056 cm is ?
1physics
find the total number of prime factors in the expression ( 4 ) 11 x ( 7 ) 5 x ( 11 ) 2 .
0general
the average salary of workers in an industry is rs . 300 the average salary of technicians being rs . 400 and that of non - technicians being rs . 125 . what is the total number of workers ?
0general
if n is a natural number , t hen 6 n ^ 2 + 6 n is always divisible by ?
0general
a man buys 10 lts of liquid which contains 20 % of the liquid and the rest is water . he then mixes it with 15 lts of another mixture with 30 % of liquid . what is the % of water in the new mixture ?
2gain
a man can buy a new house in 4 years with all of his earnings . but he spend the same amount in household expenses in 8 years and for savings in 12 years . how many time needed for buying the house ?
0general
a man can do a piece of work in 6 days , but with the help of his son , he can finish it in 3 days . in what time can the son do it alone ?
1physics
what is the least whole number that should be added to 784839 if it is to be divisible by 10 ?
0general
there are 12 slate rocks , 16 pumice rocks , and 8 granite rocks randomly distributed in a certain field . if 2 rocks are chosen at random and without replacement , what is the probability that both rocks will be slate rocks ?
5other
two train 200 m and 150 m long are running on parallel rails at the rate of 40 kmph and 45 kmph respectively . in how much time will they cross each other , if they are running in the same direction ?
1physics
a can do a work in 4 days . b can do the same work in 12 days . if both a & b are working together in how many days they will finish the work ?
1physics
how many positive integers less than 254 are multiple of 4 but not multiples of 6 ?
0general
how many 4 - digit numerals begin with a digit that represents a prime and end with a digit that represents a prime number ?
0general
a courtyard is 28 meter long and 13 meter board is to be paved with bricks of dimensions 22 cm by 12 cm . the total number of bricks required is :
1physics
andy solves problems 80 to 125 inclusive in a math exercise . how many problems does he solve ?
0general
set a of 8 positive integers may have the same element and have 39 . and set b of 8 positive integers must have different elements and have 39 . when m and n are the greatest possible differences between 39 and other elements ’ sums in set a and set b , respectively , m - n = ?
0general
find the value of 1.5 x [ ( 3.6 x 0.48 x 2.50 ) / ( 0.12 x 0.09 x 0.5 ) ]
0general
the length of one pair of opposite sides of a square is increased by 5 cm on each side the ratio of the length and the breadth of the newly formed rectangle becomes 3 : 2 . what is the area of the original square ?
3geometry
a shopkeeper sold an article at $ 100 with 20 % profit . then find its cost price ?
2gain
the compound ratio of 1 : 3 , 3 : 2 and 4 : 5 ?
5other
a number increased by 10 % gives 550 . the number is
2gain
by how much does the larger root of the equation 2 z ^ 2 + 5 z = 12 exceed the smaller root ?
0general
. star question : if f ( 1 ) = 4 and f ( x + y ) = f ( x ) + f ( y ) + 7 xy + 4 , then f ( 2 ) + f ( 5 ) = ?
0general
a man saves 30 % of his monthly salary . if an account of dearness of things he is to increase his monthly expenses by 30 % , he is only able to save rs . 300 per month . what is his monthly salary ?
0general
the probability that a man will be alive for 10 more yrs is 1 / 3 & the probability that his wife will alive for 10 more yrs is 5 / 8 . the probability that none of them will be alive for 10 more yrs , is
0general
the average ( arithmetic mean ) of 20 , 40 , and 60 is 8 more than the average of 10 , 70 , and what number ?
0general
for any integer k greater than 1 , the symbol k * denotes the product of all the fractions of the form 1 / t , where t is an integer between 1 and k , inclusive . what is the value of 1 * / 4 * ?
0general
working at constant rate , pump x pumped out half of the water in a flooded basement in 2 hours . the pump y was started and the two pumps , working independently at their respective constant rates , pumped out rest of the water in 3 hours . how many hours would it have taken pump y , operating alone at its own constant rate , to pump out all of the water that was pumped out of the basement ?
1physics
a cement mixture is composed of 3 elements . by weight , 1 / 5 of the mixture is sand , 3 / 4 of the mixture is water , and the remaining 6 pounds of the mixture is gravel . what is the weight of the entire mixture in pounds ?
0general
for each month of a given year except december , a worker earned the same monthly salary and donated one - tenth of that salary to charity . in december , the worker earned n times his usual monthly salary and donated one - fifth of his earnings to charity . if the worker ' s charitable contributions totaled one - nineth of his earnings for the entire year , what is the value of n ?
0general
ajay can walk 3 km in 1 hour . in how many hours he can walk 50 km ?
1physics
the income of a broker remains unchanged though the rate of commission is increased from 4 % to 5 % . the percentage of slump in business is ?
2gain
find 44 % of 240
2gain
there were two candidates in an election . winner candidate received 62 % of votes and won the election by 324 votes . find the number of votes casted to the winning candidate ?
2gain
r is the set of positive even integers less than 51 , and s is the set of the squares of the integers in r . how many elements does the intersection of r and s contain ?
1physics
a die is rolled twice . what is the probability of getting a sum equal to 9 ?
0general
if xy > 0 , 1 / x + 1 / y = 2 , and 1 / xy = 8 , then ( x + y ) / 4 = ?
0general