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big_math_dataset

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Three partners A,B,C start a business.A invested 3000 for 8 month,B invested 4000 for 9 month.and C invested 5000 for 1 years.at the end of year there is total profit of 15000 rs.what is profit share of B?
If p/q = 5/4 , then 2p+q= ?
A sum of money at simple interest amounts to $ 815 in 3 years and to $854 in 4 years. The sum is:
When n is divided by 19, the remainder is 7. Find thee difference between previous remainder and the remainder when 18n is divided by 9 ?
There are 437 doctors and nurses in a hospital. If the ratio of the doctors to the nurses is 8 : 11, then how many nurses are there in the hospital?
In how many ways can live boys and three girls sit in a row such that all boys sit together?
What is the median of a set of consecutive integers if the sum of nth number from the beginning and nth number from the end is 150?
Kiran has 85 currency notes in all, some of which were of Rs. 100 denomination and the remaining of Rs. 50 denomination. The total amount of all these currency notes was Rs. 5000. How much amount did she have in the denomination of Rs. 50? A. B. C. None of these D. Answer: Option B Explanation:
If 4 is the remainder when m is divided by 10, what is the remainder when 4m is divided by 10?
If the area of circle O is 16π, what is the length of an arc on the circle formed by a central angle measuring 45 degrees?
A number when divided by 296 leaves 75 as remainder. When the same number is divided by 37, the remainder will be:
Find the fourth proportional to 2.4, 4.6 and 7.6?
Two goods trains each 250 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one?
Find the sum of all 2 digit numbers divisible by 3.
A restaurant serves 600 bowls of noodles for Rs. 12000 at a loss of Rs. 2 per bowl. Find the cost price for one bowl?
Entry fee is Re.1.there are 3 rides each is of Re.1. total boys entering are 3000.total income is Rs.7200. 800 students do all 3 rides. 1400 go for atleast 2 rides.none go the same ride twice. then no of students who do not go any ride is?
A can do a piece of work in 80 days. He works at it for 10 days & then B alone finishes the remaining work in 42 days. In how much time will A and B, working together, finish the work?
The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is?
If Greg buys 3 shirts, 4 trousers and 2 ties, the total cost is $40. If Greg buys 7 shirts, 2 trousers and 2 ties, the total cost is $60. How much will it cost him to buy 3 trousers, 5 shirts and 2 ties?
How many combinations of three letters taken from letters (a, b, b, c, c, d,d) are possible?
In how many ways can you seat 6 people on a bench if one of them, Rohit, does not want to sit on the middle seat or at either end?
The area of a triangle is with base 8.4m and height 5.8m?
8 fruits are tpo kept on a table. A pair of oranges and apples must be kept together. in how many arrangements can the fruits be arranged?
What is the perimeter of a rectangular field whose diagonal is 5m and length is 4m ?
The average (arithmetic mean) of four different positive integers is 16. If the first of these integers in 3 times the second integer and the second integer is 2 less than the third integer, what is the least possible value of the fourth integer?
John and Amanda stand at opposite ends of a straight road and start running towards each other at the same moment. Their rates are randomly selected in advance so that John runs at a constant rate of 3, 4, or 5 miles per hour and Amanda runs at a constant rate of 4, 5, 6, or 7 miles per hour. What is the probability that John has traveled farther than Amanda by the time they meet?
Amber works 20 days a month at d dollars per day for m months out of the year. Which of the following represents her monthly pay?
Find the set of all points (x, y) such that the area of the triangle with vertices (0, 0), (6, 4) and (x, y) is 4.
In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?
The average of six numbers is S and the average of three of these is T.If the average of the remaining three is U, then
3889 + 15.952 - ? = 3854.002
October 9, 2012, fell on a Tuesday. On which day of the week did June 25, 2013, fall? (Note: 2012 was a leap year.)
When positive integer x is divided by 11, the quotient is y and the remainder is 4. When 2x is divided by 5, the quotient is 3y and the remainder is 4. What is the value of 4y – x ?
Two sides of a triangle have lengths q and y and meet at a right angle. If the perimeter of the triangle is 4q, what is the ratio of q to y ?
If a particular player is always chosen, in how many ways can a cricket-be chosen out of 15 players?
What is the minimum value of |x-4| + |x+2| + |x-5| ?
Which of the following ratios is greatest ?
If f(a)=a^2, what is the value of (f(a-b)−f(a))/b ?
36. A 240 m long train crosses a platform of equal length in 27 s. What is the speed of the train in km/h?
A vessel of capacity 2 litre has 20% of alcohol and another vessel of capacity 6 litre had 40% alcohol. The total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water. What is the new concentration of Mixture?
Smita Was Making A Cube With Dimensions 5*5*5 Using 1*1*1 Cubes. What Is The Number Of Cubes Needed To Make A Hollow Cube Looking Of The Same Shape?
Working alone, printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 15, 10, and 20 hours, respectively. What is the ratio of the time it takes printer X to do the job, working alone at its rate, to the time it takes printers Y and Z to do the job, working together at their individual rates?
Alice walked for 3 days. She walked 18 miles on the first day, walking 3 miles per hour. On the second day she walked for one less hour but she walked one mile per hour, faster than on the first day. On the third day she walked the same number of hours as on the first day, but at the same speed as on the second day. How many miles in total did she walk?
A, B and C are partners. A receives 2/3 of profits, B and C dividing the remainder equally. A's income is increased by Rs.200 when the rate to profit rises from 5 to 7 percent. Find the Capital of B?
In each series, look for the degree and direction of change between the numbers. In other words, do the numbers increase or decrease, and by how much Look at this series: 1.5, 3.5, 5.5, 7.5, ... What number should come next?
Amar takes as much time in running 18 meters as a car takes in covering 48 meters. What will be the distance covered by Amar during the time the car covers 1.8 km?
The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?
Akhil's club with a total membership of 30 has formed 3 committees, M, S and R which have 8,12, and 5 members respectively. If no member of committee M is on either of the other 2 committees, what is the greatest possible number of members in the club who are on none of the committees.
Maxwell leaves his home and walks toward Brad's house. One hour later, Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 24 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h. What is the total time it takes Maxwell before he meets up with Brad?
Find the compound interest on $15,624 for 9 months at 16% per annum compounded quarterly.
Boy sells a book for Rs. 450 he gets a loss of 10 %, To gain 10 %, what should be the SP?
In what time will a railway train 65 m long moving at the rate of 36 kmph pass a telegraph post on its way?
In a group of 22 boys, 13 play basketball and 15 play football. 3 of the boys play neither. how many play both ?
If n is an integer and 5^n > 40,000,000, what is the least possible value of n?
Suppose we have six marbles: 3 yellow marbles, 2 red marbles, and one green marble. Suppose we are going to put them into three cups: a black cup, a white cup, and a purple cup. We could put all six in any cup and leave two cups empty; or we could put marbles in two cups and leave one cup empty; or we could put some marbles in each of the three cups. How many combinations are possible?
P and Q started a business with respective investments of Rs. 4 lakhs and Rs. 10 lakhs. As P runs the business, his salary is Rs. 5000 per month. If they earned a profit of Rs. 2 lakhs at the end of the year, then find the ratio of their earnings?
There are 36 students in a certain geometry class. If two thirds of the students are boys and one half of the boys are under six feet tall, how many boys in the class are under six feet tall?
If 2^z is a factor of 22!, which of the following could be the value of z? I. 22 II. 23 III. 24
A certain bacteria colony doubles in size every day for 25 days, at which point it reaches the limit of its habitat and can no longer grow. If two bacteria colonies start growing simultaneously, how many days will it take them to reach the habitat’s limit?
A particular library has 75 books in a special collection, all of which were in the library at the beginning of the month. These book are occasionally loaned out through an inter-library program. If, by the end of the month, 70 percent of books that were loaned out are returned and there are 57 books in the special collection at that time, how many books of the special collection were loaned out during that month?
Which of the following numbers completes the sequence 3, 8, 14, 21, 29,38, 48, ___?
The average age of the boys in a class is 16 years and that of the girls is 15 years. The average age for the whole class is
A rat is placed at the beginning of a maze and must make it to the end. There are four paths at the start that he has an equal chance of taking: path A takes 5 minutes and leads to the end, path B takes 8 minutes and leads to the start, path C takes 3 minutes and leads to the end, and path D takes 2 minutes and leads to the start. What is the expected amount of time it will take for the rat to finish the maze?
3 years ago, Paula was 3 times as old as Karl. In 9 years, Paula will be twice as old as Karl. What is the sum of their ages now?
The ratio of the cost price and the selling price is 4:5. The profit percent is?
A 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
A person starts walking at a speed of 5km/hr through half the distance, rest of the distance he covers with aspeed 6km/hr. Total time of travel is 9 hours. What is the maximum distance he can cover?
Students of three different classes appeared in common examination. Pass average of 10 students of first class was 45%, pass average of 15 students of second class was 60% and pass average of 25 students of third class was 80% then what will be the pass average of all students of three classes?
A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is:
A train 1020 m long running at 102 kmph crosses a platform in 50 sec. What is the length of the platform?
How many cases do you need if you have to pack 112 pairs of shoes into cases that each hold 28 shoes?
Among 300 people, 56% like strawberry jam, 44% like apple jam, and 40% like raspberry jam. If 30% of the people like both strawberry and apple jam, what is the largest possible number of people who like raspberry jam but do not like either strawberry or apple jam?
A person crosses a 420 m long street in 5 minutes. What is his speed in km per hour?
Last year, Company X made q dollars in profit. Half of the profit went to the company’s founder. The rest was split evenly among his Five other partners. In terms of q, how much did each of the other partners receive?
How many ounces of a 60% salt solution must be added to 30 ounces of a 20 percent salt solution so that the resulting mixture is 40% salt?
A pair of articles was bought for $50 at a discount of 10%. What must be the marked price of each of the article?
What is the dividend. divisor 17, the quotient is 9 and the remainder is 5.
Jerry went to a shop and bought things worth Rs. 30, out of which 30 % went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 16 cm. What is the length of the wire?
The average of five numbers id 27. If one number is excluded, the average becomes 23. What is the excluded number?
X can do a piece of work in 4 hours; Y and Z together can do it in 3 hours, while X and Z together can do it in 2 hours. How long will Y alone take to do it?
The curved surface of a right circular cone of height 15cm and base diameter 16 cm is
A boy runs 200 metres in 36 seconds. What is his speed ?
60% of a number is added to 120, the result is the same number. Find the number?
If x= (10^50) - 57, what is the sum of all the digits of x?
Beth received 3/5 of the votes cast in a certain election. What fraction of the other votes cast would she have needed in order to have received 3/4 of the votes cast?
If a, b, c are integers and ab>0, bc >0, ac<0, then which of the following must be true? I. a>0, b>0, c>0 II. a=0, b=0, c=0 III. a<0, b<0, c<0
Four wolves, Wolverine, Man-hunter, Blue-wolf, and Jasmine, caught rabbits for their evening meal. If Man-hunter caught 3 more rabbits than Blue-wolf did, Jasmine caught 3 less than Wolverine did, and Wolverine caught 1 more than Man-hunter did, how many more fewer rabbits did Blue-wolf catch than Jasmine?
Rs.525 among A, B and C such that B may get 2/3 of A and C together get. Find the share of C?
A 180 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?
In a certain bathtub, both the cold-water and the hot-water fixtures leak. The cold-water leak alone would fill an empty bucket in c hours, and the hot-water leak alone would fill the same bucket in h hours, where c < h. If both fixtures began to leak at the same time into the empty bucket at their respective constant rates and consequently it took t hours to fill the bucket, which of the following must be true? I. 0 < t < h II. c < t < h III. (c/4) < t < (h/4)
If a sequence of 8 consecutive odd integers with increasing values has 7 as its 7th term, what is the sum of the terms of the sequence?
According to a survey conducted in two countries, China and India, 20% of the population are vegetarians. If the ratio of the population is 14:13, respectively, and the percentage of Chinese who are vegetarian is 5%, what percentage of Indians are vegetarians?
A sum of Rs. 1360 has been divided among A, B and C such that A gets of what B gets and B gets of what C gets. B’s share is:
The area of a square is 6400 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is thrice the side of the square and breadth is 30 cm less than the side of the square?
If z is the sum of x and y, then which one of the following must equal x – y ?
Pipe A can fill a tank in 3 hours, pipe B in 15 hours and pipe C in 24 hours. If all the pipes are open, in how many hours will the tank be filled ?
Find the value of X, Y by solving the below equations X + Y = 5 X - Y = -3
A pupil's marks were wrongly entered as 85 instead of 45. Due to that the average marks for the class got increased by half. The number of pupils in the class is :
A batch of widgets costs p + 15 dollars for a company to produce and each batch sells for p(10 – p) dollars. For which of the following values of p does the company make a profit?