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in a mayoral election , candidate x received 1 / 4 more votes than candidate y , and candidate y received 1 / 6 fewer votes than z . if z received 24,000 votes how many votes did candidate x received ?
0general
excluding stoppages , the speed of a bus is 72 kmph and including stoppages , it is 45 kmph . for how many minutes does the bus stop per hour ?
1physics
two cars are driving toward each other . the first car is traveling at a speed of 60 km / h , which is 25 % slower than the second car ' s speed . if the distance between the cars is 770 km , how many hours will it take until the two cars meet ?
1physics
in 15 year ’ s time the combined age of my 4 brothers will be 107 . what will it be in 6 year ’ s time ?
4probability
if sharon ' s weekly salary increased by 10 percent , she would earn $ 330 per week . if instead , her weekly salary were to increase by 8 percent , how much would she earn per week ?
0general
the compound interest on $ 27,000 at 11 % p . a is $ 11,000 . find out the period ( in years ) ?
2gain
1,5 , 13,25 , __
0general
ages of two persons differ by 18 years . if 4 years ago , the elder one was 4 times as old the younger one , find their present age
0general
if 13 = 13 w / ( 1 - w ) , then ( 4 w ) 2 =
0general
in a recent head - to - head run - off election , 10,000 absentee ballets were cast . 2 / 3 of the absentee ballets were thrown out and 2 / 5 of the remaining absentee ballets were cast for candidate a . how many absentee votes did candidate b receive ?
0general
a bicycle wheel has a diameter of 0.61 m . how many complete revolutions does it make in 1 km ?
1physics
nitin borrowed some money at the rate of 6 % p . a . for the first 3 years , 9 % p . a . for the next 5 years and 13 % p . a . for the period beyond 8 years . if the total interest paid by him at the end of 11 years is rs . 8160 , how much money did he borrow ?
2gain
the ratio between the sale price and the cost price of an article is 6 : 2 . what is the ratio between the profit and the cost price of that article ?
5other
a certain bus driver is paid a regular rate of $ 16 per hour for any number of hours that does not exceed 40 hours per week . for any overtime hours worked in excess of 40 hours per week , the bus driver is paid a rate that is 75 % higher than his regular rate . if last week the bus driver earned $ 1200 in total compensation , how many total hours did he work that week ?
0general
if 5 ^ 29 * 4 ^ 15 = 2 * 10 ^ n , what is the value of n ?
0general
a man is standing on a railway bridge which is 180 m long . he finds that a train crosses the bridge in 20 seconds but himself in 8 seconds . find the length of the train and its speed .
1physics
if 2 ^ k = 4 , then 2 ^ ( 2 k + 2 ) =
0general
a spirit and water solution is sold in a market . the cost per liter of the solution is directly proportional to the part ( fraction ) of spirit ( by volume ) the solution has . a solution of 1 liter of spirit and 1 liter of water costs 60 cents . how many cents does a solution of 1 liter of spirit and 2 liters of water cost ?
3geometry
the average marks of a class of 28 students is 40 and that of another class of 50 students is 60 . find the average marks of all the students ?
0general
free notebooks were distributed equally among children of a class . the number of notebooks each child got was one - eighth of the number of children . had the number of children been half , each child would have got 16 notebooks . total how many notebooks were distributed ?
0general
if 7800 / 3.25 = 2400 , then 780.0 / 32.5 is equal to ?
0general
tim and Γ© lan are 120 miles away from one another . they are starting to move towards each other simultaneously , tim at a speed of 10 mph and Γ© lan at a speed of 5 mph . if every hour they double their speeds , what is the distance that tim will pass until he meets Γ© lan ?
1physics
the sum of the first 40 positive even integers is 2,550 . what is the sum of the odd integers from 101 to 200 , inclusive ?
0general
the diagonals of a rhombus are 14 cm and 20 cm . find its area ?
3geometry
what is the perimeter of a triangle with sides 7 and 5 that has the maximum possible area ?
3geometry
if x and y are positive integers and 20 x = 10 y what is the least possible value of xy ?
0general
find the greatest number which on dividing 1661 and 2045 , leaves a reminder of 10 and 13 respectively
0general
the price of a t . v . set worth rs . 40000 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
3 candidates in an election and received 2136 , 7636 and 11628 votes respectively . what % of the total votes did the winningcandidate got in that election ?
2gain
find the number of terms in an arithmetic progression with the first term 2 and the last term being 62 , given that common difference is 2 .
0general
a , b , c , d , and e are positive consecutive integers and a < b < c < d < e . if the sum of a + b is one less than e , and the product of ab is one more than d , then what is the value of c ?
0general
a train is 360 meter long is running at a speed of 36 km / hour . in what time will it pass a bridge of 140 meter length ?
1physics
15 times a positive integer is more than its square by 56 , then the positive integer is
0general
a shopkeeper has 280 kg of apples . he sells 35 % of these at 20 % profit and remaining 60 % at 30 % profit . find his % profit on total .
2gain
a train running at 1 / 5 of its own speed reached a place in 10 hours . how much time could be saved if the train would have run at its own speed ?
1physics
a number exceeds 20 % of itself by 40 . the number is
2gain
a line that passes through ( – 1 , – 4 ) and ( 3 , k ) has a slope = k . what is the value of k ?
0general
in a class of 94 students 41 are taking french , 22 are taking german . of the students taking french or german , 9 are taking both courses . how many students are not enrolled in either course ?
5other
the faces of storage box are to be painted by 6 different colors . in how many ways can be this be done ?
0general
john had a stock of 1000 books in his bookshop . he sold 20 on monday , 120 on tuesday , 200 on wednesday , 250 on thursday and 300 on friday . what percentage of the books were not sold ?
2gain
if a lends rs . 1000 to b at 10 % per annum and b lends the same sum to c at 11.5 % per annum then the gain of b in a period of 3 years is ?
2gain
in n is a positive integer less than 200 , and 14 n / 60 is an integer , then n has how many different positive prime factors r ?
0general
a can finish a work in 24 days , b in 9 days and c in 2 days , b and c start the work but are forced to leave after 3 days . the remaining work was done by a in ?
1physics
a reduction of 50 % in the price of oil enables a house wife to obtain 5 kgs more for rs . 800 , what is the reduced price for kg ?
2gain
if x / 4 + 24 / x = 5 , what are the values of 3 x - 4 ?
0general
a candidate who gets 30 % of the marks fails by 50 marks . but another candidate who gets 45 % marks gets 25 marks more than necessary for passing . find the number of marks for passing ?
2gain
if two integers x , y ( x > y ) are selected from - 6 to 6 ( inclusive ) , how many cases are there ?
0general
the ratio of investments of two partners p and q is 7 : 5 and the ratio of their profits is 7 : 10 . if p invested the money for 2 months , find for how much time did q invest the money ?
2gain
working alone at their respective constant rates , a can complete a task in β€˜ a ’ days and b in β€˜ b ’ days . they take turns in doing the task with each working 2 days at a time . if a starts they finish the task in exactly 14 days . if b starts , they take a day more . how long does it take to complete the task if they both work together ?
1physics
if money is invested at r percent interest , compounded annually , the amount of the investment will double in approximately 50 / r years . if luke ' s parents invested $ 15500 in a long term bond that pays 12 percent interest compounded annually , what will be the approximate total amount of the investment 12 years later , when luke is ready for college ?
0general
the average weight of 8 person ' s increases by 2.5 kg when a new person comes in place of one of them weighing 35 kg . what is the weight of the new person ?
0general
a third of arun Γ’ € β„’ s marks in mathematics exceed a half of his marks in english by 15 . if he got 170 marks in two subjects together how many marks did he got in english ?
0general
in the manufacture of a certain product , 4 percent of the units produced are defective and 4 percent of the defective units are shipped for sale . what percent of the units produced are defective units that are shipped for sale ?
2gain
if you roll a fair - sided die twice , what is the probability of getting a ( 4.4 ) double ?
0general
how many seconds will a 770 m long train take to cross a man walking with a speed of 2.5 km / hr in the direction of the moving train if the speed of the train is 46.5 km / hr ?
1physics
buses a and b start from a common bus stop x . bus a begins to travel in a straight line away from bus b at a constant rate of 30 miles per hour . one hour later , bus b begins to travel in a straight line in the exact opposite direction at a constant rate of 70 miles per hour . if both buses travel indefinitely , what is the positive difference , in minutes , between the amount of time it takes bus b to cover the exact distance that bus a has covered and the amount of time it takes bus b to cover twice the distance that bus a has covered ?
1physics
at a certain zoo , the ratio of sea lions to penguins is 4 to 11 . if there are 84 more penguins than sea lions at the zoo , how many sea lions are there ?
5other
two trains of equal length , running with the speeds of 60 and 40 kmph , take 36 seconds to cross each other while they are running in the same direction . what time will they take to cross each other if they are running in opposite directions ?
1physics
if x + y = 2 x + z , x - 2 y = 4 z and x + y + z = 21 , what is the value of y / z ?
0general
the bankers discount of a certain sum of money is rs . 36 and the true discount on the same sum for the same time is rs . 30 . the sum due is :
2gain
12 chess players take part in a tournament . every player plays twice with each of his opponents . how many games are to be played ?
0general
one hour after adrienne started walking the 60 miles from x to y , harold started walking from x to y as well . adrienne walks 3 miles per hour and harold walks 1 mile per hour faster than adrienne . how far from x will harold be when he catches up to adrienne ?
1physics
in a division , a student took 48 as divisor instead of 36 . his answer was 24 . the correct answer is -
0general
a man can row upstream at 20 kmph and downstream at 60 kmph , and then find the speed of the man in still water ?
1physics
two family reunions are happening at the same hotel , the dates reunion and the hall reunion . all 50 guests at the hotel attend at least one of the reunions . if 50 people attend the dates reunion and 60 people attend the hall reunion , how many people attend both reunions ?
5other
a person travels equal distances with speeds of 6 km / hr , 12 km / hr , 18 km / hr . and takes a total time of 11 minutes . find the total distance ?
1physics
working alone at its constant rate , machine a produces x boxes in 10 minutes and working alone at its constant rate , machine b produces 2 x boxes in 5 minutes . how many minutes does it take machines a and b , working simultaneously at their respective constant rates , to produce 5 x boxes ?
1physics
the volume of a cube is 1331 cc . find its surface .
3geometry
if ( a – b ) is 11 more than ( c + d ) and ( a + b ) is 3 less than ( c – d ) , then ( a – c ) is :
0general
two trains 180 m and 160 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time which they take to cross each other is ?
1physics
a train passes a man standing on a platform in 8 seconds and also crosses the platform which is 267 metres long in 20 seconds . the length of the train ( in metres ) is :
1physics
mixture a is 15 percent alcohol , and mixture b is 50 percent alcohol . if the two are poured together to create a 4 - gallon mixture that contains 30 percent alcohol , approximately how many gallons of mixture a are in the mixture ?
0general
on the independence day , bananas were be equally distributed among the children in a school so that each child would get two bananas . on the particular day 160 children were absent and as a result each child got two extra bananas . find the actual number of children in the school ?
0general
a certain store sold pens for $ 0.35 each and pencils for $ 0.25 each . if a customer purchased both pens and pencils from the store for a total of $ 3.00 , what total number of pens and pencils did the customer purchase ?
5other
what is the sum of natural numbers between 20 and 100
0general
4 weavers can weave 4 mats in 4 days . at the same rate , how many mats would be woven by 6 weavers in 6 days ?
2gain
a number whose fifth part increased by 6 is equal to its fourth part diminished by 6 is ?
0general
if 3 a – 2 b – 4 c = 32 and √ 3 a - √ ( 2 b + 2 c ) = 4 , what is the value of a + b + c ?
0general
find the product of the localvalue and absolutevalue of 3 in 20368 ?
0general
how many seconds will a train 120 meters long take to cross a bridge 200 meters long if the speed of the train is 36 kmph ?
1physics
the difference of the areas of two squares drawn on two line segments of different lengths is 32 sq . cm . find the length of the greater line segment if one is longer than the other by 2 cm .
3geometry
a cube of edge 6 cm is cut into cubes each of edge 3 cm . the ratio of the total surface area of one of the small cubes to that of the large cube is equal to :
3geometry
robert ate 7 chocolates , nickel ate 3 chocolates . how many more chocolates did robert ate than nickel ?
0general
a car traveling at a certain constant speed takes 20 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 36 kilometers per hour . at what speed , in kilometers per hour , is the car traveling ?
1physics
the product of x and y is a constant . if the value of x is increased by 50 % , by what percentage must the value of y be decreased ?
0general
the ratio between the perimeter and the width of a rectangle is 5 : 1 . if the area of the rectangle is 150 sq . cm , what is the width of the rectangle ?
3geometry
working at a constant rate , p can finish a job in 3 hours . q , also working at a constant rate , can finish the same job in 15 hours . if they work together for 2 hours , how many more minutes will it take p to finish the job , working alone at his constant rate ?
1physics
what is the sum of the digits of integer k , if k = ( 10 ^ 30 - 54 )
0general
a room of 6 m 20 cm long and 5 m 74 cm broad is to be paved with square tiles . find the least number of square tiles required to cover the floor .
1physics
a sum of money at simple interest amounts to rs . 815 in 3 years and to rs . 854 in 4 years . the sum is ?
2gain
a football team lost 5 yards and then gained 7 . what is the team ' s progress ?
2gain
the sum of four consecutive numbers is 102 . the greatest among these three number is :
1physics
what is the least common multiple of 12 , 18 , and 24 ?
0general
a batsman makes a score of 90 runs in the 11 th inning and thus increases his average by 5 . find his average after 11 th inning .
0general
a is two years older than b who is twice as old as c . if the total of the ages of a , b and c be 72 , then how old is b ?
0general
there is 60 % increase in an amount in 6 years at si . what will be the ci of rs . 14,000 after 3 years at the same rate ?
2gain
dick and jane each saved $ 1,000 in 1989 . in 1990 dick saved 15 percent more than in 1989 , and together he and jane saved a total of $ 2,000 . approximately what percent less did jane save in 1990 than in 1989 ?
0general
worker a takes 10 hours to do a job . worker b takes 15 hours to do the same job . how long it take both a & b , working together but independently , to do the same job ?
1physics
a , b , c , d , e sitting in a row what is the probability that a & b sitting adjacent .
4probability
how many seconds will a 620 metre long train take to cross a man running with a speed of 8 km / hr in the direction of the moving train if the speed of the train is 80 km / hr ?
1physics