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big_math_dataset

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5862 is to 714 and 3498 is to 1113 and 9516 is to 156 therefore 8257 is to ?
A grocer purchased a quantity of bananas at 3 pounds for $0.50 and sold the entire quantity at 4 pounds for $1.00. How many pounds did the grocer purchase if the profit from selling the bananas was $7.00?
The original price of a certain TV set is discounted by f percent, and the reduced price is then discounted by 2f percent. If P is the original price of the TV Set, which of the following represents the price of the television set after the two successive discounts?
A jogger running at 9 km/hr along side a railway track is 200 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger?
At a conference, the only events scheduled for the day are seminars and breaks. All seminars are the same length and are 10 times as long as each break. A break must be between two consecutive seminars. If the first seminar begins at 9:00 a.m. and the third one ends at 10:40 a.m., how long will the conference last if there are a total of 6 seminars that day?
If Sn is the sum of the first n terms of a certain sequence and if Sn = n(n+6) for all positive integers n, what is the third term of the sequence?
A certain university will select 2 of 5 candidates eligible to fill a position in the mathematics department and 3 of 8 candidates eligible to fill 2 identical positions in the computer science department. If none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the 3 positions?
A train moves fast a telegraph post and a bridge 264 m long in 8 sec and 20 sec respectively. What is the speed of the train?
A train is 360 meter long is running at a speed of 48 km/hour. In what time will it pass a bridge of 140 meter length.
In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together ?
An 11-meter long wire is cut into two pieces. If the longer piece is then used to form a perimeter of a square, what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point?
Krishna bought some wheat at Rs. 10 per kilogram. He buys 2 kg wheat from a ration shop at the rate of Rs. 8 per kilogram. He mixes the two and sells at Rs. 11 per kilogram. He makes 25% profit. What is the ratio of non-ration to ration wheat?
20 litres of water are poured into an aquarium of dimensions 50cm length, 20cm breadth, and 40cm height. How high (in cm) will the water rise? (1 litre = 1000cm³)
A cistern 8m long and 4 m wide contains water up to a depth of 1 m 25 cm. The total area of the wet surface is:
Arrange the words given below in a meaningful sequence. 1. Poverty 2. Population 3. Death 4. Unemployment 5. Disease
What is the least number which when doubled will be exactly divisible by 12, 14, 18 and 22 ?
A space shuttle orbits the earth at about 9 kilometers per second. This speed is equal to how many kilometers per hour?
The average monthly salary of laborers and supervisors in a factory is Rs.1250 per month; where as the average monthly salary of 6 supervisors is Rs.2450. If the average monthly salary of the laborers is Rs.950 find the number of laborers?
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 3w widgets?
How many different possible arrangements X can be obtained from the letters G, M, A, T, I, I, and T, such that there is at least one character between both I's?
Average age of 18 men is decreased by 1 year when one man whose age is 49 years is replaced by a new man. Find age of the new man
If a:b=2:5, b:c=3:7 and c:d=1:3 find a:b:c:d?
How many 5 digit number contain number 3 ?
Which of the following is equal to 1(1/7)%?
In a college of 525 students, each student takes at least 2 items from among idly, dosa, puri, and chapati for his breakfast. If 375 students take idly, 375 take dosa, 375 students take puri nad 375 students take chapati for their breakfast, the number of students who take all the four items is at most ?
Incomes of two companies A and B are in the ratio of 5 : 8. Had the income of company A been more by 30 lakh, the ratio of their incomes would have been 5 : 4. What is the income of company B?
How many positive integers less than 5,000 are there in which the sum of the digits equals 5?
A man's speed with the current is 17.5 km / hr and the speed of the current is3.5 km / hr. The man's speed against the current is
Four female friends & four male friends will be pictured in a advertising photo. If the photographer wants to line them up in one row, with men & women alternating. How many possible arrangements may she chose?
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: 95, 10, 75, 20, 55, ... What number should come next?
The average of first 35 prime numbers is?
Ben bought 2Q steaks for W dollars. Jerome buys R steaks for a 50% discount, how much will the steaks cost him in cents?
calculate the profit loss percentage if a trader bought 7 balloons per rupee and sells the balloons at 6 per rupee.
The food in a camp lasts for 30 men for 40 days. If ten more men join, how many days will the food last?
How much 60% of 50 is greater than 40% of 30?
A list of measurements in increasing order is 4, 5, 6, 8, 10 and x. If the median of these measurements is 2/3 times their arithmetic mean, what is the value of x?
A necklace is made by stringing N individual beads together in the repeating pattern red bead, green bead, white bead, blue bead, and BLACK bead. If the necklace design begins with a red bead and ends with a white bead, then N could equal
If the positive integer x is a multiple of 4 and the positive integer y is a multiple of 5, then xy must be a multiple of which of the following? I. 8 II. 12 III 18
In a watch, the minute hand crosses the hour hand for the third time exactly after every 3 hrs., 18 min., 15 seconds of watch time. What is the time gained or lost by this watch in one day?
Tough and Tricky questions: Absolute Values. If |a| = 1/5 and |b| = 2/5, which of the following CANNOT be the result of a + b?
John bought a shirt on sale for 25% off the original price and another 25 % off the discounted price. If the final price was $16, what was the price before the first discount?
A can do a half of certain work in 70 days and B one third of the same in 35 days. They together will do the whole work in.
3, 4, 6, 10, 18, (...)
A group consists of 6 men, 8 women and 6 children. In how many ways can 2 men , 2 women and 1 child selected from the given group?
What is the radius of the circum circle of the triangle whose sides are 5, 12 and 13 units respectively?
Find the odd man out. 3, 9, 12, 15, 18, 29
In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?
X does a work in 15 days. Y does the same work in 30 days. In how many days they together will do the same work?
Half of the workers in Palabras bookstore have read the latest book by J. Saramago, and 1/6 of the workers have read the latest book by H. Kureishi. The number of workers that have read neither book is one less than the number of the workers that have read the latest Saramago book and have not read the latest Kureishi book. If there are 150 workers in the Palabras bookstore, how many of them have read both books?
Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by:
A car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 60 kilometers per hour. At what speed, in kilometers per hour, is the car traveling?
A and B complete a work in 7 days. A alone can do it in 14 days. If both together can do the work in how many days?
If a * b * c =(√(a + 2)(b + 3)) / (c + 1), find the value of 6 * 15 * 5.
The watch store down the street from Wendy's house has 2 leather watches, 1 gold watch, and 1 silver watch. How many watches does the store have in all?
A man bought a bike at 40% discount on its original price. He sold it at a 80% increase on the price he bought it. What percent of profit did he make on the original price?
Two isosceles Triangles have equal vertical angles and their areas are in the ratio 4:9. Find the ratio of their corresponding heights .
If the graph of y = f(x) is transformed into the graph of 2y - 6 = - 4 f(x - 3), point (a , b) on the graph of y = f(x) becomes point (A , B) on the graph of 2y - 6 = - 4 f(x - 3) where A and B are given by
A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 1200 m long?
If x is a sum of all even integers on the interval 13...61 and y is their number, what is the GCD (x, y)?
During a trip on an expressway, Jon drove a total of x miles. His average speed on a certain 5-mile section of the expressway was 30 miles per hour, and his average speed for the remainder of the trip was 60 miles per hour. His travel time for the x-mile trip was what percent greater than it would have been if he had traveled at a constant rate of 60 miles per hour for the entire trip?
A case of candy usually lasts Tomi 42 days when she eats 6 every day. She is going out of the country in 2 weeks so she wants to eat this case in 14 days instead. How many should she eat per day?
Tickets numbered 1 to 10 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn bears a number which is a multiple of 2?
What is the dividend. divisor 17, the quotient is 9 and the remainder is 5?
A total of 22 men and 35 women were at a party, and the average (arithmetic mean) age of all of the adults at the party was exactly 35 years. If the average age of the men was exactly 38 years, which of the following was closest to the average age, in years, of the women?
In the quadrilateral PQRS d=10 cm, h1=5 cm and h2=2.5 cm. Find the area
If (c - a)/(c - b) =1, then (5b - 4a)/(c - a) =
If n denotes a number to the left of 0 on the number line such that the square of n is less than 1/9, then the reciprocal of n must be
What is 0.02 percent of 12,356?
What annual payment will discharge a debt of Rs. 1025 due in 2 years at the rate of 5% compound interest?
A man engaged a servant on the condition that he would pay him Rs.900 and a uniform after 1year service. He served only for 9 months and receiveduniform and Rs.650, find the price of the uniform?
A completes 80% of a work in 20 days. Then B also joins and A and B together finish the remaining work in 3 days. How long does it need for B if he alone completes the work?
A certain factory produces buttons and buckles at a uniform weight. If the total weight of 2 buttons and 2 buckles is one third of 11 buckles and 3 buttons, then the weight of 3 buttons and 3 buckles is how many times that of 5 buckles and 6 buttons?
Dacid obtained 76, 65, 82, 67 and 85 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
In what ratio mental A at Rs.68 per kg be mixed with another metal at Rs.96 per kg so that cost of alloy (mixture) is Rs.82 per kg?
A boat can travel with a speed of 16 km/hr in still water. If the rate of stream is 5 km/hr, then find the time taken by the boat to cover distance of 63 km downstream.
A sum of Rs.1460 is divided into 13 students so that each boy gets Rs.120 while each girl gets Rs.100. Find the number of boys and number of girls
(1/10)18 - (1/10)20 = ?
A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
A train covers a distance of 12 km in 10 min. If it takes 11 sec to pass a telegraph post, then the length of the train is?
On January 1, 2010, Dolly invests 30% of his retirement savings in Antarctic largecap stocks, 30% in Antarctic midcaps, and 40% in Antarctic smallcaps. In 2010, largecaps rise 10%, midcaps rise 20%, and smallcaps rise 15% in the Antarctic stock market; however, in 2011, largecaps fall 20% and midcaps fall 10%, while smallcaps rise x% in Antarctica. If, on January 1, 2012, Dolly has the same total amount of retirement savings as he did two years before, then x is between
One fourth of a solution that was 10% sugar by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight. The second solution was what percent sugar by weight?
If a positive odd integer N has p positive factors, how many positive factors will N have ?
A man sells two articles for Rs.3600 each and he gains 42% on the first and loses 42% on the next. Find his total gain or loss?
January 1, 2008 is Thursday. What day of the week lies on Jan 1, 2009?
Robert spent $30 in buying raw materials, $105 in buying machinery and 10% of the total amount he had as cash with him. What was the total amount?
A and B started a business investing Rs. 60,000 and Rs 45,000 respectively. In what ratio the profit earned after 2 years be divided between A and B respectively?
AB + CD = AAA, where AB and CD are two-digit numbers and AAA is a three digit number; A, B, C, and D are distinct positive integers. In the addition problem above, what is the value of C?
A certain company reported that the revenue on sales increased 40 % from 2000 to 2003, and increased 90 % from 2000 to 2005. What was the approximate percent increase in revenue for this store from 2003 to 2005?
On dividing 123 by a number, the quotient is 7 and the remainder is 4. Find the divisor.
A can do a work in 6 days , B can do a work in 8 days and C can do it in 12 days. B left work after 6 days. For how many number of days should A and C should work together to complete the remaining work ?
David invested certain amount in three different schemes A, B and C with the rate of interest 10% p.a., 12% p.a. and 15% p.a. respectively. If the total interest accrued in one year was Rs. 3200 and the amount invested in Scheme C was 150% of the amount invested in Scheme A and 240% of the amount invested in Scheme B, what was the amount invested in Scheme B?
What is the greatest value of n such that 4^n is a factor of 23! ?
In what ratio should a variety of rice costing $6 per kg be mixed with another variety of rice costing $8.75 per kg to obtain a mixture costing $7.50 per kg?
Pipe A can fill a tank in 6 hours, pipe B in 12 hours and pipe C in 36 hours. If all the pipes are open,in how many hours will the tank be filled ?
A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 4 hours slower than the third pipe. Time required by the first pipe to fill the tank is
The average of 10 numbers is calculated as 16. It is discovered later on that while calculating the average, the number 55 was incorrectly read as 25, and this incorrect number was used in the calculation. What is the correct average?
The factorial expression 10!/5! is divisible by which of the following integers?
If from a group of 5 people, an old member is replaced by a new one, the average age is same as it was 3 years ago. What is the difference between the ages of the old member and the new one?
The ratio of the present ages of Sunitha and Vinitha is 4:5. Six years hence the ratio of their ages will be 14:17. What will be the ratio of their ages 12 years hence ?