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big_math_dataset

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A string of length 40 metres is divided into three parts of different lengths. The first part is three times the second part, and the last part is 23 metres smaller than the first part. Find the length of the largest part.
A sum of money amounts to Rs. 9800 after 5 years and Rs. 12005 after 8 years at the same rate of simple interest. The rate of interest per annum is?
If 6 (A's capital) = 8 (B's capital) = 10 (C's capital). Then the ratio of their capitals is?
A recipe for a large batch of fruit juice at a factory calls for 10% oranges, 20% lemons, and 70% limes. if 200 oranges are used, how many lemons are needed?
An article is bought for Rs.500 and sold for Rs.400, find the loss percent?
A can do a piece of work in 10 days and B can do the same work in 12 days. A and B worked together for 2 days. How many more days are required to complete the remaining work if they work together?
Two taps can separately fill a cistern 10 minutes and 15 minutes respectively and when the waste pipe is open, they can together fill it in 18 minutes. The waste pipe can empty the full cistern in?
Ravi and Kavi start a business by investing ₹ 2000 and ₹ 72000, respectively. Find the ratio of their profits at the end of year.
On the average Mr.Jackson has 2 hours to plan for an long hour meeting he talk to his assistant 7 hours to prepare the paper work needed.How much hours should jackson and assistant has t plan for 30 min meeting?
An engineer undertakes a project to build a road 15 km long in 300 days and employs 30 men for the purpose. After 100 days, he finds only 2.5 km of the road has been completed. Find the (approximate) number of extra men he must employ to finish the work in time.
A farmer has an apple orchard consisting of Fuji and Gala apple trees. Due to high winds this year 10% of his trees cross pollinated. The number of his trees that are pure Fuji plus the cross-pollinated ones totals 180, while 3/4 of all his trees are pure Fuji. How many of his trees are pure Gala?
Alice, Benjamin, and Carol each try independently to win a carnival game. If their individual probabilities for success are 1/5, 3/8, and 3/7, respectively, what is the probability that exactly two of the three players will win but one will lose?
Using all the letters of the word "NOKIA", how many words can be formed, which begin with N and end with A?
A sum of money at simple interest amounts to Rs.720 after 2 years and to Rs.1020 after a further period of 5 years. The sum is :
Jack and Jill are marathon runners. Jack can finish a marathon (43 km) in 4.5 hours and Jill can run a marathon in 4.3 hours.What is the ratio of their average running speed? (Jack: Jill)
The owner of a furniture shop charges his customer 10% more than the cost price. If a customer paid Rs. 7350 for a computer table, then what was the cost price of the computer table?
Find the number of zero’s in 173! (173 Factorial)?
A small water pump would take 4 hours to fill an empty tank. A larger pump would take 1/2 hour to fill the same tank. How many hours would it take both pumps, working at their respective constant rates, to fill the empty tank if they began pumping at the same time?
When the positive integer k is divided by the positive integer n , the remainder is 11. If k/n = 71.2 , what is the value of n?
12. What is the dividend. divisor 17, the quotient is 9 and the remainder is 8.
Find the product of the localvalue and absolutevalue of 6 in 20618?
If the day before yesterday was Wednesday, what day will be the day after tomorrow?
If x, y, and z are positive integers, and 3x = 5y = 6z, then the least possible value of x + y + z is
A bag contains 2 yellow, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?
Out of 10 students in a class, 4 are from Maharashtra, 3 are from Karnataka, and 3 are from Goa. Four students are to be selected at random. What are the chances that at least one is from Karnataka?
The product of face value of 3 and local value of 6 in the numeral 78934064 is
A watch was sold at a loss of 10%. If it was sold for Rs.140 more, there would have been a gain of 4%. What is the cost price?
Antony, Ben, and Charles each try independently to win a carnival game. If their individual probabilities for success are 1/5, 3/8, and 2/7, respectively, what is the probability that exactly two of the three players will win but one will lose?
A cube with its sides numbered 1 through 6 is rolled twice, first landing on a and then landing on b. If any roll of the cube yields an equal chance of landing on any of the numbers 1 through 6, what is the probability T that a + b is prime?
Machine A produces pencils at a constant rate of 9000 pencils per hour, and machine B produces pencils at a constant rate of 7000 pencils per hour. If the two machines to gather must produce 100,000 pencils and if each machine can operate for at most 8 hours, what is the least amount of time V, in hours, that machine B...
In how many ways a committee consisting of 5 men and 6 women can be formed from 8 men and 10 women?
In a survey of university students, 64 had taken mathematics course, 94 had taken computer science course, 58 had taken physics course, 28 had taken mathematics and physics, 26 had taken mathematics and computer science, 22 had taken computer science and physics course, and 14 had taken all the three courses. Find how ...
A woman spends 15% of her income in house rent, 15% of the rest on his children’s education, 10% of the rest miscellaneous causes and 15% in medical expenses. If she now posses Rs. 5548 then her income is?
66.2 is what percent of 1000?
If b/c = 1.25, then c is what percent of b?
If the reciprocals of two consecutive positive integers are added together, what is the sum in terms of the greater integer m?
(998-1)(998-2)(998-3)........(998-n)=....... when n>1000
How many numbers from 10 to 50 are exactly divisible by 3?
A garage has a bin that is used by an "add stuff" worker and a "throw away" worker. Working alone, the "add stuff" worker can fill the bin in 5 hours. Working alone, the "throw away" worker can empty the bin in 15 hours. If it is desired that the bin should be filled, from empty, exactly 6 hours after the "add stuff" w...
The ratio of flour to water to sugar in a recipe is 7:2:1. The ratio in a new recipe calls for a doubling of the ratio of flour to water from the original recipe and a halving of the ratio of flour to sugar. If the new recipe calls for 2 cups of water, how much sugar is required?
All the faces of a cube are painted with blue colour. Then it is cut into 125 small equal cubes. How many small cubes will be formed having only one face coloured ?
A and B entered into a partnership investing Rs.25000 and Rs.30000 respectively. After 4 months C also joined the business with an investment of Rs.35000. What is the share of C in an annual profit of Rs.47000?
A cab driver 5days income was $400, $250, $650, $400 , $500. Then his average income is?
A train 50 m long is running with a speed of 68 kmph. In what time will it pass a man who is running at 8 kmph in the same direction in which the train is going?
15th august 2010 was which day of the week?
A man swims downstream 72 km and upstream 45 km taking 9 hours each time; what is the speed of the current ?
How many different arrangements of A, B, C, D, and E are possible where A is not adjacent to B ?
Bottle R contains 350 capsules and costs $6.25. Bottle T contains 130 capsules and costs $2.99. What is the difference between the cost per capsule for bottle R and the cost per capsule for bottle T?
45 litres of mixture is created by mixing Liquid A and Liquid B in the ratio 3:2. How much more Liquid B must be added to make the ratio 9:11?
When 3 fair coins are tossed together, what is the probability of getting 2 tails?
A certain galaxy is known to comprise approximately 4 x 10^12 stars. Of every 50 million of these stars, one is larger in mass than our sun. Approximately how many stars in this galaxy are larger than the sun?
How long does a train 110 m long running at the speed of 72 km/hr takes to cross a bridge 132 m length?
Apple Infotech has 4 Senior Managing Directors and 5 Managing Directors. Each investment banking deal requires the guidance of two managing directors, at least one of which must be a Senior Managing Director. How many possible investment banking deals can Apple Infotech possibly provide guidance for?
Rebecca's annual income is $15, and Jimmy's annual income is $18. By how much must Rebecca's annual income increase so that it constitutes 50% of Rebecca and Jimmy's combined income?
In a ratio which is equal to 4:6, if the antecedent is 50, then the consequent is?
In what ratio must tea at Rs.60 per Kg be mixed with tea at Rs.70 per Kg so that the mixture must be worth Rs.67.5 per Kg?
Which of the following represents 1<x<9?
Find the simple interest on Rs.500 for 9 months at 6 paisa per month?
An old priest fell on a bottom of the well of a church. The well is 20 inches deep. At day time, the old priest climbs 5-inches but when at dark he slip back 4 inches. In how many days priest will come out of the well ?
Find the odd one out: 125, 106, 84, 76, 65, 58, 53
If Josh, Doug, and Brad have a total of $72 between them, and Josh has three times as much money as Brad but only three-fourths as much as Doug, how much money does Brad have?
In a particular year, the month of january had exactly 4 thursdays, and 4 sundays. On which day of the week did january 1st occur in the year.
If the square root of p^2 is an integer greater than 1, which of the following must be true? I. p^2 has an odd number of positive factors II. p^2 can be expressed as the product of an even number of positive prime factors III. p has an even number of positive factors
Which of the below fractions has the highest value?
A discount electronics store normally sells all merchandise at a discount of 10 percent to 30 percent off the suggested retail price. If, during a special sale, an additional 25 percent were to be deducted from the discount price, what would be the lowest possible price of an item costing $260 before any discount?
he ratio between the sale price and the cost price of an article is 4:7. What is the ratio between the profit and the cost price of that article?
In year Y imported machine tools accounted for 25 percent of total machine-tools sales in the United States, and Japanese imports accounted for 40 percent of the sales of imported machine tools. If the total sales of machine tools imported from Japan that year was x billion dollars, then the total sales of all machine ...
The average of first ten prime numbers which are odd is?
If 1 kilometer is approximately 0.6 mile, which of the following best approximates the number of kilometers in 7 miles?
A person’s age is 125% of what it was one decade ago, but 83(1/3)% of what it will be after one decade. What is his current age? [1 decade = 10 years]
A student took five papers in an examination, where the full marks were the same for each paper. His marks in these papers were in the proportion of 6 : 7 : 8 : 9 : 10. In all papers together, the candidate obtained 60% of the total marks. Then the number of papers in which he got more than 61% marks is
If n = 14p, where p is a prime number greater than 2, how many different positive even divisors does n have, including n ?
In a stack of boards at a lumber yard, the 20th board counting from the top of the stack is immediately below the 17th board counting from the bottom of the stack. How many boards are in the stack?
A man is standing on a railway bridge which is 240 m long. He finds that a train crosses the bridge in 20 seconds but himself in 8 seconds. Find the length of the train and its speed.
For one toss of a certain coin, the probability that the outcome is heads is 0.3. If this coin is tossed 5 times, which of the following is the probability that the outcome will be heads at least 4 times?
A train traveled the first d miles of its journey it an average speed of 50 miles per hour, the next d miles of its journey at an average speed of y miles per hour, and the final d miles of its journey at an average speed of 160 miles per hour. If the train’s average speed over the total distance was 96 miles per hour,...
If 75 percent of a girls answered the first question on a certain test correctly, 55 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly?
A certain quantity is measured on two different scales, the T-scale and the S-scale, that are related linearly. Measurements on the T-scale of 6 and 24 correspond to measurements on the S-scale of 30 and 60, respectively. What measurement on the T-scale corresponds to a measurement of 100 on the S-scale?
A, B and C can do a piece of work in 24, 30 and 40 days respectively. They start the work together but C leaves 4 days before the completion of the work. In how many days is the work done?
Set A {3,3,3,4,5,5,5} has a standard deviation of 1. What will the standard deviation be if every number in the set is multiplied by 8?
Find the last 2 digits 65*29*37*63*71*87*62
A thief is noticed by a policeman from a distance of 300 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes?
The jogging track in a sports complex is 660 m in circumference. Deepak and his wife start from the same point and walk in opposite directions at 4.5 km/hr and 3.75 km/hr respectively. They will meet for the first time in?
If 30% of a number is 12.6, find the number?
During a trip, Francine traveled x percent of the total distance at an average speed of 100 miles per hour and the rest of the distance at an average speed of 90 miles per hour. In terms of x, what was Francine’s average speed for the entire trip?
If the wheel is 14 cm then the number of revolutions to cover a distance of 1056 cm is?
Find the simple interest for Rs. 2000 at 8% p/a for 2years.
Which of the following is larger than 3/5?
A father was as old as his son's present at the time of your birth. If the father's age is 34 years now, the son's age 5years back was?
At a contest with 3,500 participants, 1/2 of the people are aged 18 to 22. Next year, the number of people aged 18 to 22 will increase by 1/7. After this change, what percentage of the total 3,500 people will the 18- to 22-year-olds represent?
Bradley owns 3b video game cartridges. If Bradley’s total is one-fourth the total owned by Andrew and triple the total owned by Charlie, how many video game cartridges do the three of them own altogether, in terms of b?
An auto assembly plant performs six functions with each frame that arrives: add axles, add wheels to the axles, install the windshield to the frame, install the instrument panel, install the steering wheel, and install the interior seating. Once those six tasks are performed, each car goes to a separate building for fi...
Of the 80 people in a room, 1/4 are women. If 3/4 of the people are married, what is the maximum number of women in the room who could be unmarried?
The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child?
A shopkeeper buys two articles for Rs.1000 each and then sells them, making 20% profit on the first article and 20% loss on second article. Find the net profit or loss percent?
David mixed 20 kg of butter at Rs. 200 per kg with 30 kg butter at the rate of Rs. 100 per kg. At what price per kg should he sell the mixture to make a profit of 40% in the transaction?
A pump can fill a tank with water in 2 hours. Because of a leak, it took 2 2/3 hours to fill the tank. The leak can drain all the water of the tank in
When Ravi was 8 years old, his father was 31 years old,. Now his father is twice Ravi's age. How old is Ravi now?
A no.when divided by 223 gives a remainder 43, what remainder will beobtained by dividingthe same no.17?
Dhoni spends $250 buying his favorite dolls. If he buys only small Barbie dolls, which are $5 cheaper than the large Barbie dolls, he could buy 25 more dolls than if he were to buy only large Barbie dolls. How much does a large Barbie doll cost?