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big_math_dataset

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One root of the quadratic equation x2 - 12x + a = 0, is thrice the other. Find the value of a?
Find the angle between the hour hand and the minute hand of a clock when 3.25.
A rectangular rug with side lengths of 2 feet and 6 feet is placed on a square floor that has an area of 65 square feet. If the surface of the rug does not extend beyond the area of the floor, what fraction of the area of the floor is not covered by the rug?
The cross-section of a cannel is a trapezium in shape. If the cannel is 10 m wide at the top and 6 m wide at the bottom and the area of cross-section is 640 sq m, the depth of cannel is?
2 hours after train A leaves Lucknow a train B leaves the same stationtraveling in the same direction at an average speed of 16 km/hr. After traveling 6 hrsthe train B overtakes the train A. What is the average speed of the train A?
A trader sells 85 meters of cloth for Rs. 8500 at the profit of Rs. 15 per metre of cloth. What is the cost price of one metre of cloth?
How much more would Rs.15000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?
Tough and Tricky questions: Word Problems. A salesman's income consists of commission and base salary. His weekly income totals over the past 7 weeks have been $406, $413, $420, $436, $395, $410, $360. What must his average (arithmetic mean) income over the next two weeks be to increase his average weekly income to $500 over the 9-week period?
A student was asked to find the arithmetic mean of the numbers 13,31,78,92,115,103,68,10,57,21,34 and a. He found the mean to be 60. What should be the remainder in the place of a?
How many 5 letter combinations can be made from the letters of the word VERMONT if the first letter has to be a vowel and the last letter has to be a vowel, and each letter can be used only once?
Average of 80 numbers are 42. When 5 more numbers are included, the average of 85 numbers become 45. Find the average of 5 numbers.
A man sells an article at a profit of 25%. If he had bought it at 20% less and sold it for Rs.10.50 less, he would have gained 30%. Find the cost of the article.
if abcd is four digit highest number that is divisible by 10.9.22 give remainder 4,9,10. find bc
Which of the following numbers completes the sequence 3, 8, 14, 21, 29, 38, 48, 59, 71, 84, ___?
Birbal is a witty trader who trade of a mystical fruit grown far in north. He travels from one place to another with three sacks which can hold 30 fruits each. None of the sack can hold more than 30 fruits. On his way, he has to pass through thirty check points and at each check point, he has to give one fruit for each sack to the authorities. How many mystical fruits remain after he goes through all the thirty check points?
If it is 6:27 in the evening on a certain day, what time in the morning was it exactly 2,876,397 minutes earlier? (Assume standard time in one location.)
If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance traveled by him is?
Which of the following is not a leap year?
Two trains of equal length are running on parallel lines in the same directions at 46km/hr. and 36km/hr. The faster trains pass the slower train in 144 seconds. The length of each train is:
21 ball numbered 1 to 21. A ballis drawn and then another ball is drawn without replacement.
An article is bought for Rs.675 and sold for Rs.900, find the gain percent?
Simplify: 5793405 x 9999
A man buys a cycle for Rs. 1600 and sells it at a loss of 12%. What is the selling price of the cycle?
Angela, Bernie, and Colleen can complete a job, all working together, in 3 hours. Angela and Bernie, working together at their respective rates, can complete the same job in 4 hours. How long would it take Colleen, working alone, to complete the entire job?
A shopkeeper sold an article offering a discount of 5% and earned a profit of 23.5%. What would have been the percentage of profit earned if no discount was offered?
The average number of shirts with Salman, Ambani and Dalmiya is 40, if all of them reached a shopping mall in Delhi and purchased 8 shirts each of them then average number of shirt each of them now has
Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 50 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
If I walk at 3 kmph, I miss the train by 2 min, if however, I walk at 4 kmph. I reach the station 2 min before the arrival of the train. How far do I walk to reach the station?
A positive whole number has factors of 2 and 4. The number MUST be divisible by: I. 16 II. 8 III. 4
What is the probability of a/b will be an integer when a=2x3y and b=2l3m and all of x, y, I, m are positive integers?
A Fruit Seller buys lemons at 2 for a rupee and sells them at 5 for three rupee. His profit percentage is
8 3/4 + 7 2/17 - 9 1/15=?
A hiker walking at a constant rate of 4 miles per hour is passed by a cyclist travelling in the same direction along the same path at a constant rate of 32 miles per hour. the cyclist stopswaits for the hiker 5 min after passing her while the hiker continues to walk at her constant rate. how many minutes must the cyclist wait until the hiker catches up
10^(600) ÷ 10^(580) = ?
What decimal fraction is 30 ml of a litre ?
Simplify: 896 x 896 - 204 x 204
The sum of digits of a two digit number is 10,The difference between the digits is 6. Find the number
In a certain supermarket, a triangular display of cans is arranged in 10 rows, numbered 1 through 10 from top to bottom. Each successively numbered row contains 3 more cans than the row immediately above it. If there are fewer than 150 cans in the entire display, how many cans are in the fifth row?
Consider a right triangle EBC with length of sides being x,y and z where y represents the hypotenuse , Which of these represent the radius of the circle which is inscribed in triangle EBC
A person goes to his office at 1/3rd of the speed at which he returns from his office. If the avg speed during the whole trip is 6m/h. what is the speedof the person while he was going to his office?
Two trains, A and B, started simultaneously from opposite ends of a 75-mile route and traveled toward each other on parallel tracks. Train A, traveling at a constant rate, completed the 75-mile trip in 3 hours; Train B, traveling at a constant rate, completed the 75-mile trip in 2 hours. How many miles had train A traveled when it met train B?
A certain auto manufacturer sold 5% fewer vehicles in 2007 than in 2006. If the manufacturer sold 2.1 million vehicles in 2006, how many vehicles, to the nearest 10,000, did the manufacturer sell in 2007?
The ratio of the present ages of Giri and Hari is 5:8. 12 years hence, the ratio of their ages will be 11:14. Find the difference in their present ages?
How many times are the hands of a clock at right angle in a day?
Gold is 10 times as heavy as water and copper is 6 times as heavy as water. In what ratio should these be mixed to get an alloy 8 times as heavy as water?
Which of the following data sets has the smallest standard deviation?
A store owner estimates that the average price of type A products will increase by 20% next year and that the price of type B products will increase by 11% next year. This year, the total amount paid for type A products was $3500 and the total price paid for type B products was $8600. According to the store owner's estimate, and assuming the number of products purchased next year remains the same as that of this year, how much will be spent for both products next year?
Two pipes A and B can separately fill a tank in 2 minutes and 15 minutes respectively. Both the pipes are opened together but 4 minutes after the start the pipe A is turned off. How much time will it take to fill the tank?
How many of the following numbers are divisible by 132? 264, 396, 462, 792, 968, 2178, 5184, 6336,528,1320,660
Two trains of equal are running on parallel lines in the same direction at 44 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is?
What is the unit digit in (4137)754?
A husband wants to share of x% of his savings of total $10,0000 to his wife. After home expenses, the husband reduce this amount by (x − 9)%. In terms of x, how much $ amount will the wife get?
Find the missing figures : ?% of 70 = 2.125
What is the sum of natural numbers between 90 and 100
The compound and the simple interests on a certain sum at the same rate of interest for two years are Rs.11730 and Rs.10200 respectively. Find the sum.
Find the expenditure on digging a well 14m deep and of 3m diameter at Rs.15 per cubic meter?
The banker's discount on Rs.1800 at 12% per annum is equal to the true discount on Rs.1872 for the same time at the same rate. Find the time?
Which of the following is a prime number?
How many multiples of 5 are there between 50 and 500 ?
What is the remainder when 14,451 × 15,651 × 16,788 is divided by 5?
If P represents the product of the first 14 positive integers, then P is NOT a multiple of
Six persons standing in queue with different age group, after two years their average age will be 43 and seventh person joined with them. Hence the current average age has become 45. Find the age of the 7th person.
15 men and 12 boys finish a job in 11 days, 13 men and 13 boys finish it in 10 days. 10 men and 10 boys shall finish it in how many days?
A grocer is storing soap boxes in cartons that measure 30 inches by 42 inches by 60 inches. If the measurement of each soap box is 7 inches by 6 inches by 5 inches, then what is the maximum number of soap boxes that can be placed in each carton?
A, B and C rent a pasture. If A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing and the rent of the pasture is Rs. 210, then how much amount should C pay as his share of rent?
What should come in place of the question mark (?) in the following number series? 15 19 ? 27 31
In May, the groundskeeper at Spring Lake Golf Club built a circular green with an area of 65π square feet. In August, the groundskeeper doubled the distance from the center of the green to the edge of the green. What is the total area of the renovated green?
A basketball is dropped from a height of 20 feet. If it bounces back up to a height that is exactly half of its previous height, and it stops bouncing after hitting the ground for the fourth time, then how many total feet will the ball have traveled after 2 full bounces.
At a certain zoo, the ratio of sea horse to penguins is 5 to 11. If there are 85 more penguins than sea horses at the zoo, how many sea horses are there?
How many liters of water must be evaporated from 50 liters of a 3-percent sugar solution to get a 10-percent solution?
Shannon and Maxine work in the same building and leave work at the same time. Shannon lives due north of work and Maxine lives due south. The distance between Maxine's house and Shannon's house is 50 miles. If they both drive home at the rate 2R miles per hour, Maxine arrives home 40 minutes after Shannon. If Maxine rider her bike home at the rate of R per hour and Shannon still drives at a rate of 2R miles per hour, Shannon arrives home 2 hours before Maxine. How far does maxine live from work?
A squirrel runs up a cylindrical post , in a perfect spiral path making one circuit for each rise of 3 feet . How many feet does the squirrel travels if the post is 27 feet tall and 3 feet in circumference?
7 people average age is 30. youngest person age is 8. find average of the people when youngest was born.
The ratio of two numbers is 3:4 and their sum is 28. The greater of the two numbers is?
At the time of marriage, a man was 10 years elder to his wife. 16 years after their marriage, his age is 6/5 times the age of his wife. What was wife's age at the time of marriage ? Choose one answer.
A man is 22 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is:
Two pipes P and Q can fill a cistern in 12 and 14 minutes respectively. Both are opened together, but at the end of 3 minutes the first is turned off. How much longer will the cistern take to fill?
For a race a distance of 224 meters can be covered by P in 16 seconds and Q in 32 seconds. By what distance does P defeat Q eventually?
If two dice are thrown simultaneously, then find the probability that the sum of numbers appeared on the dice is 12?
If P(32, 6) = kC (32, 6), then what is the value of k?
On a certain planet where people usually tend to live for more than a century, the ratio of present ages of father and son is 7:4. 10 years later, the ratio of their ages will be 5:3. What is the sum of their present ages?
Venkat purchased twenty dozens of toys at the rate of 375 per dozen. He sold each one of them at the rate of 33. What was his percentage profit?
For one toss of a certain coin, the probability that the outcome is heads is 0.7. If this coin is tossed 5 times, which of the following is the probability that the outcome will be heads at least 4 times?
1/3 of certain journey is covered at the rate of 25kmph,one-fourth at the rate of 30kmph and the rest at 50 kmph.Find the avg speed for the whole journey.
In a basketball game, Dhoni scored 10 points more than Dravid, but only half as many points as Shewag. If the three players scored a combined total of 130 points, how many points did Dhoni score?
If P is a prime number greater than 10, what is the remainder when P^2 is divided by 2.
In the coordinate plane, a circle centered on point (-3, -3) passes through point (1, 1). What is the area of the circle?
Rahul can done a work in 5 days and meena can done a work in 10 days.In how many days that both are work together?
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?
At Joel’s bookstore, the current inventory is 40% historical fiction. Of the historical fiction books, 40% are new releases, while 40% of the other books are new releases. What fraction of all new releases are the historical fiction new releases?
A, B and C enter into partnership. A invests some money at the beginning, B invests double the amount after 6 months, and C invests thrice the amount after 8 months. If the annual gain be Rs.18000. A's share is?
In how much time will a train of length 140 m, moving at 36 kmph cross an electric pole?
There is a sequence ni such, in which i is a positive integer, ni+1=2ni. If n1=1, n2=2, n3=4, n4=8, what is the scope including n41?
The ratio between the speeds of two persons is 7:8.If the second main runs 400 km in 4 hours,then find the speed of the another person?
The distance between Delhi and Mathura is 110 kms. A starts from Delhi with a speed of 20 kmph at 7 a.m. for Mathura and B starts from Mathura with a speed of 25 kmph at 8 p.m. from Delhi. When will they meet?
In a certain group of 10 members, 4 members teach only French and the rest teach only Spanish or German. If the group is to choose 4-member committee, which must have at least 1 member who teaches French, how many different committee can be chosen ?
Rectangular tile each of size 80cm by 40cm must be laid horizontally on a rectangular floor of size 130cm by 230cm,such that the tiles do not overlap and they are placed with edges jutting against each other on all edges. A tile can be placed in any orientation so long as its edges are parallel to the edges of floor. No tile should overshoot any edge of the floor. The maximum number of tiles that can be accommodated on the floor is:
There are two numbers. If 60% of the first number is added to the second number, then the second number increases to its five-fourth. Find the ratio of the first number to the second number?
At what rate percent per annum will a sum of money double in 9 years.
A dishonest dealer professes to sell goods at the cost price but uses a weight of 600 grams per kg, what is his percent?