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big_math_dataset

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Find the highest common factor of 36 and 84.
During a Thanksgiving weekend, a car rental company rented six-tenths of their vehicles, including two-fifths of the 4WDs that it had. If 60% of the vehicles are 4WDs, then what percent of the vehicles that were not rented were not 4WDs?
Two dice are rolled. What is the probability the sum will be greater than 4?
What is the 8th term in this sequence? 1,2,3,10,18,28,51
Percentage of profit earned by selling a book for $2200 is equal to the percentage loss incurred by selling the same book for $1800. What price should the book be sold to make 25% profit?
The retirement plan for a company allows employees to invest in 10 different mutual funds. Six of the 10 funds grew by at least 10% over the last year. If Sam randomly selected 4 of the 10 funds, what is the probability M that 3 of Sam’s 4 funds grew by at least 10% over last year?
Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train catches and completely passes the slower train in 18 seconds. What is the length of each train (in meters)?
If taxi fares were $3.00 for the first 1/5 mile and $0.20 for each 1/5 mile there after, then the taxi fare for a 4-mile ride was
1/3 -2/5+1/2 - 5/6 + 1/5 + 1/4 - 9/20 =
How many ways are there to award a gold, silver, bronze and platinum medal to 10 contending teams?
How many numbers amongst the numbers 28 to 42 are there which are exactly divisible by 7 but not by 5?
Ram and Shyam distribute some coins amongst them in the ratio 4:5. If Ram steals 3 coins from Shyam, the ratio of coins they have becomes 5:4. How many coins did they distribute initially?
The price of an item is discounted 4 percent on day 1 of a sale. On day 2, the item is discounted another 4 percent, and on day 3, it is discounted an additional 10 percent. The price of the item on day 3 is what percentage of the sale price on day 1?
What is the principal sum? I.The sum amounts to Rs. 690 in 3 years at S.I. II.The sum amounts to Rs. 750 in 5 years at S.I. III.The rate of interest is 5% p.a.
A merchant gets a 5% discount on each meter of fabric he buys after the first 2,000 meters and a 7% discount on every meter after the next 1,500 meters. The price, before discount, of one meter of fabric is $2, what is the total amount of money the merchant spends on 5,000 meters of fabric?
A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
The average marks of a class of 30 students is 40 and that of another class of 50 students is 60. Find the average marks of all the students?
A table is bought for Rs.400/- and sold at Rs.450/- find gain or loss percentage
Employees at a company will vote for an executive team of five people from eight qualified candidates. The executive team consists of a president, a treasurer, and three warrant officers. If an executive team is considered different if any of the same people hold different offices, then how many possible executive teams A could be selected from the eight candidates?
Ram works in a bakery. He made cookies that cost $1.75 and made $325. How many customer did he have?
George went to a fruit market with certain amount of money. With this money he can buy either 40 oranges or 40 mangoes. He retains 10% of the money for taxi fare and buys 20 mangoes. How many oranges can he buy?
If e is a positive integer and 10^e – 74 in decimal notation has digits whose sum is 440, what is the value of e?
There is a 1 km long wire placed on some number of poles which are in equal distance. If the number of poles is reduced by 1 then the distance of wire between each poles increases 1(2/3).How many poles are there initially.
Working alone, printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 12, 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?
Julian owes his classmate Jenny 20 dollars. If he borrows 8 dollars how much will he owe her?
Last year a certain bond price with a face value of 5000 yielded 10% of its face value in interest. If that interest was approx 6.5 of the bond's selling price approx what was the bond's selling price?
A girl was asked to multiply a certain number by 43. She multiplied it by 34 and got his answer less than the correct one by 1224. Find the number to be multiplied.
A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 650 m long?
The probability that A speaks truth is 3/5 and that of B speaking truth is 5/7. What is the probability that they agree in stating the same fact?
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?
In how many ways letters of the word HAPPY be arranged?
For 2consecutive yrs, my incomes are in the ratio of 4:7 and expenses in the ratio of 3:5. If my income in the 2nd yr is Rs. 42000 & my expenses in the first yr in Rs.23000, my total savings for the two-year is
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 1.25 as old as Robert?
A is twice as good a work man as B and together they finish the work in 10 days. In how many days A alone can finish the work?
A company that ships boxes to a total of 12 distribution centers uses color coding to identify each center. If either a single color or a pair of two different colors is chosen to represent each center and if each center is uniquely represented by that choice of one or two colors, what is the minimum number of colors needed for the coding? (Assume that the order of the colors in a pair does not matter.)
Three candidates contested an election and received 600, 7025 and 11620 votes respectively. What percentage of the total votes did the winning candidate get?
You collect baseball cards. Suppose you start out with 16. Since you're nice, you give John 6 baseball cards. How many baseball cards do you have at the end?
In how many different number of ways 6 men and 4 women can sit on a shopa which can accommodate persons?
the present average age of a couple and their daughter is 35 years. Fifteen years from now, the age of the mother will be equal to the sum of present ages of the father and the daughter. Find the present age of mother?
Find four consecutive even integers so that the sum of the first two added to twice the sum of the last two is equal to 766.
Select a card from pack of 52 playing cards, 2cards are drawn together at random. Find the probability of both the cards being king ?
If Dev works alone he will take 20 more hours to complete a task than if he worked with Tina to complete the task. If Tina works alone, she will take 5 more hours to complete the complete the task, then if she worked with Dev to complete the task? What is the ratio of the time taken by Dev to that taken by Tina if each of them worked alone to complete the task?
6x – 5y + 3z = 27 4x + 8y – 11z = 7 5x – 6y + 2z = 12 Given the equations above, x + y + z = ?
In how many different number of ways a combination of 3 persons can be selected from 4 boys and 2 girls.
What is the tens digit of 36^4?
A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
The average of 10 numbers was calculated as 17. It is discovered later on that while calculating the average, one number, namely 56, was incorrectly read as 26. What is the correct average?
In how many different number of ways 5 men and 2 women can sit on a shopa which can accommodate persons?
How many kilograms of sugar costing Rs.9 per kg must be mixed with 27 kg of sugar costing Rs.7 per Kg so that there may be a gain of 10% by selling the mixture at Rs.9.24 per Kg?
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is ?
If two numbers are in the ratio 5:2. If 10 is added to both of the numbers then the ratio becomes 5:4 then find the largest number?
The sale price Laptops listed for Rs.30000 after successive discount is 30% and 20% is?
Find the length of the wire required to go 15 times round a square field containing 69696 m^2.
Excluding stoppages, the speed of a train is 48 kmph and including stoppages it is 40 kmph. Of how many minutes does the train stop per hour?
A cyclist traveled for two days. On the second day the cyclist traveled 4 hours longer and at an average speed 10 mile per hour slower than she traveled on the first day. If during the two days she traveled a total of 240 miles and spent a total of 12 hours traveling, what was her average speed on the second day?
A, B and C, each working alone can complete a job in 6, 8 and 12 days respectively. If all three of them work together to complete a job and earn $ 1170, what will be B's share of the earnings?
What is the number of different committees of 4 women that can be selected from a group of 7 women?
If there are only 2 wheelers and 4 wheelers parked in a school located at the heart of the city, find the number of 4 wheelers parked there if the total number of wheels is 54?
If A, B and C together can finish a piece of work in 4 days. A alone in 12 days and B in 18 days, then C alone can do it in?
Kim bought a total of $2.65 worth of postage stamps in four denominations. If she bought an equal number of 5-cent and 25-cent stamps and twice as many 10-cent stamps as 5-cent stamps, what is the least number of 2-cent stamps she could have bought ?
A 340-liter solution of Kola is made from 88% water, 5% concentrated Kola and the rest is made from sugar. If 3.2 liters of sugar, 10 liter of water and 6.8 liters of concentrated Kola were added to the solution, what percent of the solution is made from sugar?
A train of length 150 metres takes 40.5 seconds to cross a tunnel of length 300 metres. What is the speed of the train in km/hr ?
48% of respondents to a survey consisted of those who used both M and N and those who used neither M nor N. 38% of respondents did not use M. 32% used N. What percent of respondents used only N?
A farmer needs to plant seeds on a plot of land. She will plant 300 seeds in a rectangle in the field. The rectangle will have E seeds in a row and F seeds in a column. If the number of seeds in a row is no less than 10 and no more than 30, how many different combinations of rectangular shapes are possible?
How many multiples of 7 are there between 14 and 252 ?
If a train, travelling at a speed of 90 kmph, crosses a pole in 5 sec, then the length of train is?
If n=4p where p is a prime number greater than 2, how many different positive even divisors does n have, WITHOUT N VALUE?
Ritesh and Co. generated revenue of Rs. 1,600 in 2006. This was 12.5% of its gross revenue. In 2007, the gross revenue grew by Rs. 2,500. What is the percentage increase in the revenue in 2007?
(112 x 54) = ?
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?
The probability that A speaks truth is 3/5 and that of B speaking truth is 2/7. What is the probability that they agree in stating the same fact?
p:q = 7:6 , q:r = 4 : 7 , p:q:r = ?
Two partners (Moses and Norris) invested Rs 5000 and Rs.12000 in a business. Moses runs the business while Norris is a sleeping partner in the business. Moses receives 4% of the profit for managing the business the rest is divided in proportion of their capitals. Out of a total profit of Rs.5500, how much did Moses receive?
A person buys an article at $500. At what price should he sell the article so as to make a profit of 20%?
The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. What is the present age of the husband?
A man divides $6800 Among 4 Sons, 4 Daughters and 2 Nephews. If each daughter receives four times as much as each nephews and each son receives five times as much as each nephews, how much does each daughter receive?
A , B , and C started a partnership business by investing $45,000 , $63,000 , and $72,000 respectively. At the end of the year, the profit was distributed among them. If C's share of profit is $16,000, what is the total profit?
A and B finish the job in 15 days.while A,B and C can finish it in 11 days . C alone will finish the job in
Kim purchased n items from a catalog for $8 each. Postage and handling charges consisted of $2 for the first item and $1 for each additional item. Which of the following gives the total dollar amount for Kim’s purchase, including postage and handling, in terms of n ?
Which of the following is satisfied with |x-4|+|x-3|<7?
A certain restaurant offers 5 different salads, 4 different main courses, and 7 different desserts. If customers choose one salad, one main course, and two different desserts for their meal, how many different meals are possible?
find last digits of (1023^3923)+(3081^3921)
A person walking at 4 Kmph reaches his office 8 minutes late. If he walks at 6 Kmph, he reaches there 8 minutes earlier. How far is the office from his house?
A rectangular photograph is surrounded by a border that is 1 inch wide on each side. The total area of the photograph and the border is M square inches. If the border had been 6 inches wide on each side, the total area would have been (M + 200) square inches. What is the perimeter of the photograph, in inches?
Find the one which does not belong to that group ?
The average of 25 results is 18. The average of first 12 of those is 14 and the average of last 12 is 17. What is the 13th result?
The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on atleast one ticket is -.
Wendy begins sanding a kitchen floor by herself and works for 8 hours. She is then joined by Bruce, and together the two of them finish sanding the floor in 2 hours. If Bruce can sand the floor by himself in 20 hours, how long would it take Wendy to sand the floor by herself?
In what time a sum of money double itself at 6% per annum simple interest?
In an election only two candidates contested. A candidate secured 70% of the valid votes and won by a majority of 172 votes. Find the total number of valid votes?
Two MBA admissions committees are to be formed randomly from 6 second year MBAs with 3 members each. What is the probability that Jane will be on the same committee as Albert?
6 men and 2 boys working together can do four times as much work as a man and a boy. Working capacity of man and boy is in the ratio
What is the least integer greater than –3+0.5?
A certain mixture of nuts consists of 5 parts almonds to 2 parts walnuts, by weight. What is the number of pounds of almonds in 280 pounds of the mixture ?
If A speaks the truth 65% of the times, B speaks the truth 60% of the times. What is the probability that they tell the truth at the same time
The average (arithmetic mean)Q of the four distinct positive integers p, q, s and t is x. If p and q are odd, and s and t are even, which of the following must be true? I. x is an integer II. (x−0.5) is an integer. III. 2x is an odd integer.
A trader mixes 80 kg of tea at 15 per kg with 20 kg of tea at cost price of 20 per kg. In order to earn a profit of 25%, what should be the sale price of the mixed tea?
During a certain two-week period, 58 percent of the movies rented from a video store were comedies, and of the remaining movies rented, there were 5 times as many dramas as action movies. If no other movies were rented during that two-week period and there were A action movies rented, then how many comedies, in terms of A, were rented during that two-week period?
If a 3-member subcommittee is to be formed from a certain 8-member committee, how many different such subcommittee are possible?
For an integer n greater than 1, n* denotes the product of all the integers from 1 to n inclusive. How many prime numbers are there between 7*+4 and 7*+7, inclusive ?