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big_math_dataset

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Suresh and Ramesh started a business investing Rs. 24,000 and Rs. 40,000 respectively. Out of total profit of Rs. 15,000, what is Ramesh's share?
?% of 360 = 108.0
what is the least number by which 46,800 must be divided to get a number perfect square
What is 15 percent of 44?
Rohit and Rohan can complete a work in 12 days and 6 days respectively. How much time will they take when working together?
If x = y^2, and x and y are positive integers, which of the following numbers could be the value of x?
Two cars are traveling towards each other. If car A is traveling at a speed of 70 mph and car B is traveling 10% slower, how much time will it take the cars to meet if the initial distance between the two is 705 miles?
The sum of money will be double itself in 10 years and simple interest find rate of interest?
A person saves 10% of his income. If his income is increased by 20% and he saves 15% of the new income, by what percent his savings will increase?
If 9 is a factor of 2a, then which of the following may not be an integer?
If a and b are both even numbers, which of the following is an even number?
The present ages of three persons in proportions 4 : 7 : 8. Eight years ago, the sum of their ages was 71. Find their present ages (in years).
If x+y=290, x-y=200, for integers of x and y, y=?
Worker A takes 8 hours to do a job. Worker B takes 10 hours to do the same Job. How long should it take both A and B, working together but independently, to do the same job?
What was the day of the week on 4th April, 2006?
Each of the integers from 1 to 17 is written on the a seperate index card and placed in a box. If the cards are drawn from the box at random without replecement, how many cards must be drawn to ENSURE that the product of all the integers drawn is even?
In the last set of tests, a student scored marks in each of 5 subjects in the ratio 4:5:6:7:8 and got an overall average score of 54%. If a mark of 50% in a subject is a pass and the maximum marks of each subject is the same, how many subjects did the student pass?
The average age of seven persons sitting in a row facing east is 28 years. If the average age of the first three persons is 21 years and the average age of the last three persons is 34 years, then find the age of the person sitting in the middle of the row?
Find the simple interest on the Rs. 2000 at 25/4% per annum for the period from 4th Feb 2005 to 18th April 2005
If 'A' means '-', 'B' means '/', 'C' means '+', and 'D' means 'X' then Find the value of the following: 21 B 7 C 9 D 10 A 13
At what rate of compound interest per annum will a sum of Rs. 1200 become Rs. 1348.32 in 2 years
Running at their respective constant rates, machine X takes 2 days longer to produce w widgets than machine Y. At these rates, if the two machines together produce 5/4 w widgets in 3 days, how many days would it take machine X alone to produce 5w widgets?
In the quadratic equation ax2+ 1x - 6 = 0, if the sum of two roots is -1, what is the product of the two roots?
If r>0.9, which of the following options can be the value of r?
Five friends go to see a movie at the local movie theater and sit in a row together. If there are two friends who refuse to sit next to each other, how many 5-person seating arrangements are possible?
5020−(502÷100.4)=?
P software has coding line 5% more than N, N software has coding line 5/2 more than M. M software has 108 lines of coding. find P lines.
When 5 fair coins are tossed simultaneously, in how many outcomes will the first and the last coin turn up heads?
If z is a multiple of 8902, what is the remainder when z^2 is divided by 4?
Sunita goes 30 km towards North from a fixed point, then after turning to her right she goes 15 km. After this she goes 30 km after turning to her right. How far and in what direction is she from her starting point?
If 4 men or 6 boys can finish a work in 20 days. How long will 6 men and 11 boys take to finish the same work?
Mr. James sold two pipes at $1.20 each. Based on the cost, his profit one was 20% and his loss on the other was 20%. On the sale of the pipes, he:
A man sitting in a train which is traveling at 40 kmph observes that a goods train, traveling in opposite direction, takes 9 seconds to pass him. If the goods train is 280 m long, find its speed.?
A train travels m miles in n hours. How many miles will it travel in x hours at the same rate?
A tradesman by means of his false balance defrauds to the extent of 20%? in buying goods as well as by selling the goods. What percent does he gain on his outlay?
If a and b are positive integers and x = 4^a and y = 3^b, which of the following is a possible units digit of xy?
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.300 when the rate to profit rises from 5 to 7 percent. Find the Capital of A?
At what rate percent per annum will the simple interest on a sum of money be 2/5 of the amount in 10 years?
The calendar of the year 2028 can be used again in the year?
If the cost price of 60 articles is equal to the selling price of 50 articles, then what is the percent profit?
Tabby is training for a triathlon. She swims at a speed of 1 mile per hour. She runs at a speed of 11 miles per hour. She wants to figure out her average speed for these two events. What is the correct answer for her?
The sides of a triangle are in the ratio 5: 12: 13 and its perimeter is 300 m, its area is?
A dealer sold two of his cattle for Rs. 500 each. On one of them he lost 10% on the other, he gained 10%. His gain or loss percent in the entire transaction was:
47% of the students in a class of 34 students has glasses or contacts. How many students in the class have either glasses or contacts?
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 7:00, how many seconds elapse betwee...
A does a work in 15 days and B does the same work in 30 days. In how many days they together will do the same work ?
What is theleast number should be added to 1056, so the sum of the number is completely divisible by 23?
We give the following information about a race hedge. There are 10 hurdles. The distance between consecutive two lines (that is to say which follow) is 9.14 m. There are 13.72 m between the starting line and the first line and the last hurdle between 14.02 m and line arrival. Each hurdle measures 106 cm in height. What...
The mass of the sun is approximately 2 × 10^30 kg and the mass of the moon is approximately 9 × 10^12 kg. The mass of the sun is approximately how many times the mass of the moon?
Diana took out a charge account at the General Store and agreed to pay 6% simple annual interest. If she charges $60 on her account in January, how much will she owe a year later, assuming she does not make any additional charges or payments?
There are 7 girls and 3 chairs. In how many ways girls can occupy the chairs?
Find the simple interest on $500 for 3 years at 10% per annum?
A bag contains 64 balls of eight different colours. There are eight of each colour (including red). What is the least number you would have to pick, without looking, to be sure of selecting 3 red balls?
In a group of 24 students, each student is registered for at least one of three classes – History, Math and English. 15 students are registered for History, 15 students are registered for Math, and 20 students are registered for English. If only three students are registered for all three classes, how many students are...
The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 46 kg, then the weight of B is:
From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?
If you divide 7^115 by 5, which remainder do you get?
There is a train and car. The ratio between the speed of a train & a car is 24:19 respectively. Also, a bus covered a distance of 320 km in 5 hours. The speed of the bus is 2/3rd of the speed of the train. How many kilometers will the car cover in 5 hours?
A reduction of 5% in the price of sugar enables a lady to obtain 5kgs more for Rs.500, find the original price per kg?
If 6 persons can do 6 times of a particular work in 6 days, then, 8 persons can do 8 times of that work in?
The roots of the equation ax2 + bx + c = 0 will be reciprocal if:
A man is running at 9 kmph alongside a railway track in 240 metres ahead of the engine of a 120 metres long train. The train is running at 45 kmph in the same direction. How much time does it take for the train to pass the man?
A farmer used 1,034 acres of land for beans, wheat, and corn in the ratio of 5 : 2 : 4, respectively. How many W acres were used for corn?
Edward invested five-ninths of his money at an annual rate of 2r% compounded semi-annually, and the remaining money at an annual rate of r% compounded annually. If after one year, Edward’s money had grown by one-thirds, the value of r is equal to which of the following?
A sum of money is borrowed and paid back in two annual installments of Rs.882 each allowing 5% compound interest. The sum borrowed was :
One ton has 2300 pounds, and one pound has 16 ounces. How many packets containing wheat weighing 16 pounds and 4 ounces each would totally fill a gunny bag of capacity 13 tons?
One day a car rental agency rented 3/4 of its cars, including 4/5 of its cars with CD players. If 3/5 of its cars have CD players, what percent of the cars that were not rented had CD players?
The population of a town increased from 1,25,000 to 1,50,000 in a decade. The average percent increase of population per year is :
Arun spent six lucky days in Las Vegas. On his first day he won a net amount of only $20, but on each of the following days, the daily net amount he won grew by d dollars. If Arun won a total net amount of $1620 during his stay in Las Vegas, how much did he win on the last day?
At the wholesale store you can buy an 8-pack of hot dogs for $1.55, a 20-pack for $3.05, and a 250-pack for $22.95. What is the greatest number of hot dogs you can buy at this store with $208?
In a covering a certain distance, the speeds of A and B are in the ratio of 3:4. A takes 30 minutes more than B to reach the destination. The time taken by A to reach the destination is?
Today my car meter reads as 63736 kms. I notes that this is a palindrome. How many minimum kms i need to travel so my car meter find another palindrom.
If Dave throws down a set dice twice, calculate the probability that one die would be an even while the other would be odd?
There are 7 people and 4chairs. In how many ways people can occupy the chairs?
There are 12 pieces of radioactive metal Q that look identical. 11 of the pieces give the same radiation count when measured, the 12th piece is a counterfeit and gives a different radiation level, which may be more or less than the other 11. We are given a radiation scale, which can take 2 sets of samples and compare t...
John started a business, investing Rs.18000. After 3 months and 4 months respectively, Rose and Tom joined him with capitals of 12000 and 9000. At the end of the year the total profit was Rs.4290. What is the difference between Rose ’s and Tom ’s share in the profit?
A leak in the bottom of a tank can empty the full tank in 7 hours. An inlet pipe fills water at the rate of 6 litres a minute. When the tank is full, the inlet is opened and due to the leak, the tank is empty in 12 hours. How many litres does the cistern hold?
I bought two books; for Rs.480. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss?
The average age of three boys is 15 years and their ages are in proportion 3:5:7. What is the age in years of the youngest boy?
10, 18, x, 14 The median of the list of positive integers above is 12. Which of the following could be the average (arithmetic mean) of the list?
If 20 liters of chemical X are added to 80 liters of a mixture that is 20% chemical X and 80% chemical Y, then what percentage of the resulting mixture is chemical X?
Albert and Bob are painting rooms at constant, but different rates. Albert takes 1 hour longer than Bob to paint n rooms. Working side by side, they can paint a total of 3n/2 rooms in 4/3 hours. How many hours would it take Albert to paint 3n rooms by himself?
If y > 0, (7y)/20 + (3y)/10 is what percent of y?
If 65 percent of a class answered the first question on a certain test correctly, 50 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly?
A fill pipe can fill 1/2 of cistern in 30 minutes. In how many minutes, it can fill 1/2 of the cistern?
Siddharth wants to borrow Rs.6000 at rate of interest 6% p.a. at S.I and lend the same amount at C.I at same rate of interest for two years. What would be his income in the above transaction?
A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
A package contains 8 black and 6 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
If a number is 20% more than the another, how much % is the smaller number less than the first ?
If daily wages of a man is double to that of a woman, how many men should work for 25 days to earn Rs.14400? Given that wages for 40 women for 30 days are Rs.21600.
For all integers a and b, a%b = (a + b)(a - b). If 6%x = 11, then which of the following could be a value of x?
What percentage of numbers from 1 to 70 have squares that end in the digit 1?
A certain list of 200 test scores has an average (arithmetic mean) of 84 and a standard deviation of d, where d is positive. Which of the following two test scores, when added to the list, must result in a list of 202 test scores with a standard deviation less than d ?
The average weight of 16 men in a committe is 50.25 kg and that of the remaining 8 men are45.15 kg. Find the average weights of all the men in the committe?
The cash difference between the selling prices of an article at a profit of 4% and 6% is Rs. 3. The ratio of the two selling prices is:
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.3982. What is the difference between Rohan’s and Sudhir’s share in the profit?
Raj invested an amount of Rs.17400 for two years. Find the rate of compound interest that will fetch him an amount of Rs.1783.50 at the end of two years?
3 buffaloes eat as much as 4 cows or 2 oxen. At a farm there are 15 buffaloes, 8 oxen and 24 cows. The fodder for these cattle is available for 24days. If 8 more cows & 9 more buffaloes are brought in, how long will the fodder last?
A and B invests Rs.8000 and Rs.9000 in a business. After 4 months, A withdraws half of his capital and 2 months later, B withdraws one-third of his capital. In what ratio should they share the profits at the end of the year?
A shopkeeper sold an article at $100 with 20% profit. Then find its cost price?