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a factory has three types of machines , each of which works at its own constant rate . if 7 machine as and 11 machine bs can produce 360 widgets per hour , and if 8 machine as and 22 machine cs can produce 600 widgets per hour , how many widgets could one machine a , one machine b , and one machine c produce in one 8 - hour day ? | Mathematical |
on increasing the number of lines in a page by 60 , they become 240 . what is the % of increase in the no . of lines in the page ? | Mathematical |
if ( 2 ^ 14 ) ( 25 ^ s ) = 5 ( 10 ^ m ) what is the value of m ? | Mathematical |
in a box carrying one dozen of oranges , one - third have become bad . if 3 oranges are taken out from the box at random , what is the probability that at least one orange out of the 3 oranges picked up is good ? | Mathematical |
a goods train runs at the speed of 72 km / hr and crosses a 220 m long platform in 26 sec . what is the length of the goods train ? | Mathematical |
a and b are two partially filled buckets of water . if 5 liters are transferred from a to b , then a would contain one - third of the amount of water in b . alternatively , if 3 liters are transferred from b to a , b would contain one - half of the amount of water in a . bucket a contains how many liters of water ? | Mathematical |
two kinds of vodka are mixed in the ratio 1 : 2 and 2 : 1 and they are sold fetching the profit 10 % and 35 % respectively . if the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4 / 3 and 5 / 3 times respectively , then the mixture will fetch the profit of | Mathematical |
of 60 children , 30 are happy , 10 are sad , and 20 are neither happy nor sad . there are 18 boys and 42 girls . if there are 6 happy boys and 4 sad girls , how many boys are neither happy nor sad ? | Mathematical |
the sum of all the integers k such that β 26 < k < 24 is | Mathematical |
evaluate 75 / . 05 | Mathematical |
the length of a rectangle is three times of its width . if the length of the diagonal is 8 β 10 then find the perimeter of the rectangle . | Mathematical |
225 metres long yard , 26 trees are palnted at equal distances , one tree being at each end of the yard . what is the distance between 2 consecutive trees | Mathematical |
car a runs at the speed of 60 km / hr and reaches its destination in 8 hours . car b runs at the speed of 70 km / h and reaches its destination in 4 hours . what is the ratio of distances covered by car a and car b ? | Mathematical |
if an object travels at five feet per second , how many feet does it travel in one hour ? | Mathematical |
a house wife saved $ 4 in buying an item on sale . if she spent $ 29 for the item , approximately how much percent she saved in the transaction ? | Mathematical |
tough and tricky questions : exponents . if 2 ^ ( 3 x + 2 ) * 3 ^ ( 2 y - 3 ) = 32 ^ x * 9 ^ y , then x + y = | Mathematical |
what is the units digit of ( 147 ^ 25 ) ^ 49 ? | Mathematical |
simple interest on a certain sum of money for 3 years at 8 % per annum is half the compound interest on $ 4000 for 2 years at 10 % per annum . the sum placed on simple interest is : | Mathematical |
in one hour , a boat goes 11 km along the stream and 3 km against the stream . the sped of the boat in still water ( in km / hr ) is : | Mathematical |
if a + b = β 6 , and a = 10 / b , what is the value of a ^ 2 + b ^ 2 ? | Mathematical |
a professional basketball player just signed a contract that has a 10 % raise in base salary from last year to this year . the contract also has provisions for a performance bonus of up to $ 10000 . if he earns the maximum performance bonus , his new effective salary will be a 10.5 % raise over last year ' s total salary , when he received no performance bonus . assuming he earns the full performance bonus , what will be his new salary ? | Mathematical |
how long does a train 110 m long running at the speed of 72 km / hr takes to cross a bridge 175 m length ? | Mathematical |
find the length of the wire required to go 15 times round a square field containing 69696 m 2 . | Mathematical |
5 n + 2 > 17 and 7 n - 5 < 44 ; n must be between which numbers ? | Mathematical |
find the average of first 6 multiples of 5 ? | Mathematical |
a large box contains 15 small boxes and each small box contains 20 chocolate bars . how many chocolate bars are in the large box ? | Mathematical |
the current of a stream runs at the rate of 4 kmph . a boat goes 10 km and back to the starting point in 2 hours , then find the speed of the boat in still water ? | Mathematical |
the length of the bridge , which a train 170 metres long and travelling at 45 km / hr can cross in 30 seconds , is ? | Mathematical |
a retail appliance store priced a video recorder at 20 percent above the wholesale cost of $ 200 . if a store employee applied the 5 percent employee discount to the retail price to buy the recorder , how much did the employee pay for the recorder ? | Mathematical |
if a # b = ab β b + b ^ 2 , then 3 # 6 = | Mathematical |
a man engaged a servant on a condition that he ' ll pay rs 90 and also give him a bag at the end of the yr . he served for 9 months and was given a turban and rs 65 . so the price of turban is | Mathematical |
if w is the set of all the integers between 29 and 99 , inclusive , that are either multiples of 3 or multiples of 2 or multiples of both , then w contains how many numbers ? | Mathematical |
for a certain exam , a score of 86 was 7 standard deviations below mean and a score of 90 was 3 standard deviations above mean . what was the mean score for the exam ? | Mathematical |
the area of a square is equal to three times the area of a rectangle of dimensions 49 cm * 27 cm . what is the perimeter of the square ? | Mathematical |
in a division , a student took 72 as divisor instead of 36 . his answer was 24 . the correct answer is - | Mathematical |
a scientist used a unique two - color code to identify each of the test subjects involved in a certain study . if the scientist found that choosing from among 5 colors produced enough color codes to identify all but 6 of the test subjects , how many test subjects were in the study ? ( assume that the order of the colors in the codes does not matter . ) | Mathematical |
enrollment in city college in 1980 was 85 / 3 percent of enrollment in 1990 . what was the percent increase in the college β s enrollment from 1980 to 1990 ? | Mathematical |
there were two candidates in an election . winner candidate received 54 % of votes and won the election by 288 votes . find the number of votes casted to the winning candidate ? | Mathematical |
a person bought 115 glass bowls at a rate of rs . 18 per bowl . he sold 104 of them at rs . 20 and the remaining broke . what is the percentage gain for a ? | Mathematical |
lisa and robert have taken the same number of photos on their school trip . lisa has taken 3 times as many photos as claire and robert has taken 10 more photos than claire . how many photos has claire taken ? | Mathematical |
how many even multiples of 45 are there between 449 and 901 ? | Mathematical |
19 chess players take part in a tournament . every player plays twice with each of his opponents . how many games are to be played ? | Mathematical |
rs . 585 is divided amongst a , b , c so that 4 times a ' s share , 6 times b ' s share and 3 times c ' s share are all equal . find c ' s share ? | Mathematical |
in 10 years , a will be twice as old as b was 10 years ago . if a is now 8 years older than b the present age of b is | Mathematical |
a die is rolled twice . what is the probability of getting a sum equal to 12 ? | Mathematical |
a man can row his boat with the stream at 14 km / h and against the stream in 4 km / h . the man ' s rate is ? | Mathematical |
cost is expressed by the formula tb ^ 4 . if b is doubled , the new cost is what percent t of the original cost ? | Mathematical |
in a certain egg - processing plant , every egg must be inspected , and is either accepted for processing or rejected . for every 96 eggs accepted for processing , 4 eggs are rejected . if , on a particular day , 12 additional eggs were accepted , but the overall number of eggs inspected remained the same , the ratio of those accepted to those rejected would be 99 to 1 . how many q eggs does the plant process per day ? | Mathematical |
on her annual road trip to visit her family in seal beach , california , traci stopped to rest after she traveled 1 β 2 of the total distance and again after she traveled 1 β 4 of the distance remaining between her first stop and her destination . she then drove the remaining 400 miles and arrived safely at her destination . what was the total distance , in miles , from traci β s starting point to seal beach ? | Mathematical |
a certain country had a total annual expenditure of $ 1.2 x 10 ^ 11 last year . if the population of the country was 240 million last year , what was the per capita expenditure ? | Mathematical |
two students appeared at an examination . one of them secured 9 marks more than the other and his marks was 56 % of the sum of their marks . the marks obtained by them are : | Mathematical |
aaron will jog from home at 4 miles per hour and then walk back home by the same route at 8 miles per hour . how many miles from home can aaron jog so that he spends a total of 3 hours jogging and walking ? | Mathematical |
if x is the product of the positive integers from 1 to 8 , inclusive , and if i , k , m , and p are positive integers such that x = 2 ^ i β 3 ^ k β 5 ^ m β 7 ^ p , then i + k + m + p = | Mathematical |
in right triangle abc , ac is the hypotenuse . if ac is 10 and ab + bc = 20 , what is the area of the triangle abc ? | Mathematical |
each side of a rectangular field diminished by 40 % . by how much per cent is the area of the field diminished ? | Mathematical |
the average of 10 numbers is calculated as 14 . it is discovered later on that while calculating the average , one number namely 36 was wrongly read as 26 . the correct average is ? | Mathematical |
there are two groups of students in the sixth grade . there are 20 students in group a , and 80 students in group b . if , on a particular day , 20 % of the students in group a forget their homework , and 15 % of the students in group b forget their homework , then what percentage of the sixth graders forgot their homework ? | Mathematical |
the average of 6 quantities is 8 . the average of 4 of them is 5 . what is the avg . of the remaining 2 numbers ? | Mathematical |
suresh started a business , investing rs . 18000 . after 3 months and 4 months respectively , rohan and sudhir joined him with capitals of 12000 and 9000 . at the end of the year the total profit was rs . 4048 . what is the difference between rohan β s and sudhir β s share in the profit ? | Mathematical |
a man has rs . 10350 in the form of rs . 50 notes and rs . 500 notes . the total number of notes are 90 . find the number of notes of rs . 50 denomination . | Mathematical |
during 2003 , a company produced an average of 4,000 products per month . how many products will the company need to produce from 2004 through 2007 in order to increase its monthly average for the period from 2003 through 2007 by 150 % over its 2003 average ? | Mathematical |
the average age of an adult class is 40 years . 12 new students with an avg age of 32 years join the class . thereforedecreasing the average by 4 year . find what was theoriginal strength of class ? | Mathematical |
the distance from the x - axis to point p is half the distance from the y - axis to point p . if the coordinates of p are ( x , - 5 ) , how many units is p from the y - axis ? | Mathematical |
two numbers are respectively 20 % and 60 % more than a third number . the percentage that is first of the second is ? | Mathematical |
we bought a total of 90 books at the store . math books cost $ 4 and history books cost $ 5 . the total price was $ 397 . how many math books did we buy ? | Mathematical |
two employees a and b are paid a total of rs . 580 per week by their employer . if a is paid 150 percent of the sum paid to b , how much is b paid per week ? | Mathematical |
at a certain committee meeting only associate professors and assistant professors are present . each associate professor has brought 2 pencils and 1 chart to the meeting , while each assistant professor has brought 1 pencil and 2 charts . if a total of 7 pencils and 11 charts have been brought to the meeting , how many people are present ? | Mathematical |
the difference between the value of a number increased by 12.5 % and the value of the original number decreased by 25 % is 30 . what is the original number r ? | Mathematical |
the average height of 35 boys in a class was calculated as 182 cm . it has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm . find the actual average height of the boys in the class ( round off your answer to two decimal places ) . ? | Mathematical |
the salaries of a and b together amount to $ 3000 . a spends 95 % of his salary and b , 85 % of his . if now , their savings are the same , what is a ' s salary ? | Mathematical |
if a number is subtracted from its square we get 272 . find the number ? | Mathematical |
a train 120 m long crosses a platform 220 m long in 20 sec ; find the speed of the train ? | Mathematical |
for all positive integers m and v , the expression m ΞΈ v represents the remainder when m is divided by v . what is the value of ( ( 88 ΞΈ 33 ) ΞΈ 17 ) - ( 90 ΞΈ ( 33 ΞΈ 17 ) ) ? | Mathematical |
if solomon distributes his toys in the ratio of 1 / 4 : 1 / 6 : 1 / 10 : 1 / 9 between his 4 friends a , b , c and d , then find the total number of toys solomon should have ? | Mathematical |
the area of a circular field is 13.86 hectares . find the cost of fencing it at the rate of rs . 4.40 per metre . | Mathematical |
an article is bought for rs . 675 and sold for rs . 1000 , find the gain percent ? | Mathematical |
a 13 % stock yields 8 % . the market value of the stock is : | Mathematical |
from a container , 6 liters milk was drawn out and was replaced by water . again 6 liters of mixture was drawn out and was replaced by the water . thus the quantity of milk and water in the container after these two operations is 9 : 16 . the quantity of mixture is : | Mathematical |
a train travels from new york to chicago , a distance of approximately 480 miles , at an average rate of 60 miles per hour and arrives in chicago at 5 : 00 in evening , chicago time . at what hour in the morning , new york time , did the train depart for chicago ? ( note : chicago time is one hour earlier than new york time ) | Mathematical |
the speed of a subway train is represented by the equation z = s ^ 2 + 2 s for all situations where 0 β€ s β€ 7 , where z is the rate of speed in kilometers per hour and s is the time in seconds from the moment the train starts moving . in kilometers per hour , how much faster is the subway train moving after 7 seconds than it was moving after 2 seconds ? | Mathematical |
the diagonals of a rhombus are 11 cm and 16 cm . find its area ? | Mathematical |
in 1950 , richard was 4 times as old as robert . in 1955 , richard was 3 times as old as robert . in which year was richard 1.6 times as old as robert ? | Mathematical |
a room is 8 meters 16 centimeters in length and 4 meters 32 centimeters in width . find the least number of square tiles of equal size required to cover the entire floor of the room . | Mathematical |
there are 8 executives , including the ceo and cfo , that are asked to form a small team of 5 members . however , the ceo and cfo may not both be assigned to the team . given this constraint , how many ways are there to form the team ? | Mathematical |
victor gets 92 % marks in examinations . if these are 460 marks , find the maximum marks . | Mathematical |
max planned to buy bike , sales man advised him to buy within this month , if he purchase next month means state tax will be increasing 10 % than its cost and it would be 82500 . what is the bike ' s selling price in this month | Mathematical |
a boy goes to his school from his house at a speed of 3 km / hr and returns at a speed of 2 km / hr . if he takes 5 hours in going and coming . the distance between his house and school is ? | Mathematical |
find the perimeter of a triangle with sides measuring 7 centimeters , 10 centimeters and 15 centimeters . | Mathematical |
in a 500 m race , ravi beats ramesh by 5 seconds or 100 m . they decide to run another race and this time ravi gives ramesh a head tart of 200 m . if ravi β s speed is twice his previous speed and ramesh β s speed is one and half times his previous speed , how far from the starting point should the winning post be so that they finish at the same time ? | Mathematical |
a store owner estimates that the average price of type a products will increase by 25 % next year and that the price of type b products will increase by 10 % next year . this year , the total amount paid for type a products was $ 4500 and the total price paid for type b products was $ 8300 . according to the store owner ' s estimate , and assuming the number of products purchased next year remains the same as that of this year , how much will be spent for both products next year ? | Mathematical |
two isosceles triangles have equal vertical angles and their areas are in the ratio 25 : 49 . find the ratio of their corresponding heights . | Mathematical |
a , b and c rent a pasture . if a puts 10 oxen for 7 months , b puts 12 oxen for 5 months and c puts 15 oxen for 3 months for grazing and the rent of the pasture is rs . 280 , then how much amount should c pay as his share of rent ? | Mathematical |
exactly 30 % of the reporters for a certain wire service cover local politics in country x . if 25 % of the reporters who cover politics for the wire service do not cover local politics in country x , what percent of the reporters for the wire service do not cover politics ? | Mathematical |
positive integer y is 50 percent of 50 percent of positive integer x , and y percent of x equals 16 . what is the value of x ? | Mathematical |
excluding stoppages , the speed of a train is 48 kmph and including stoppages it is 36 kmph . of how many minutes does the train stop per hour ? | Mathematical |
difference between the length & breadth of a rectangle is 26 m . if its perimeter is 208 m , then the ratio of area and perimeter is ? ? we have : ( l - b ) = 26 and 2 ( l + b ) = 208 or ( l + b ) = 104 ? | Mathematical |
everyone shakes hands with everyone else in a room . total number of handshakes is 105 . number of persons = ? | Mathematical |
the price of a t . v . set worth rs . 12000 is to be paid in 20 installments of rs . 1200 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 ? | Mathematical |