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big_math_dataset

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In a garden, there are yellow and green flowers which are straight and curved. If the probability of picking a green flower is 1/6 and picking a straight flower is 1/2, then what is the probability of picking a flower which is yellow and straight
A man swims downstream 24 km and upstream 12 km taking 6 hours each time, what is the speed of the man in still water?
A bowl of nuts is prepared for a party. Brand P mixed nuts are 20% almonds and Brand Q's Deluxe nuts are 25% almonds. If a bowl contains a total of 66 ounces of nuts, representing a mixture of both brands, and 15 ounces of the mixture are almonds, how many ounces of Brand Q's Deluxe mixed nuts are used?
Andrew travelling to 7 cities. Gasoline prices varied from city to city. $1.75, $1.61, $1.79, $2.11, $1.96, $2.09, $1.81. What is the median gasoline price?
The product of three consecutive numbers is 210. Then the sum of the smallest two numbers is ?
A vessel of capacity 90 litres is fully filled with pure milk. Nine litres of milk is removed from the vessel and replaced with water. Nine litres of the solution thus formed is removed and replaced with water. Find the quantity of pure milk in the final milk solution?
If x dollars is invested at 9 percent for one year and y dollars is invested at 8 percent for one year, the annual income from the 9 percent investment will exceed the annual income from the 8 percent investment by $48. If $2,000 is the total amount invested, how much is invested at 8 percent?
If x/5 + 9/x = 14/5, what are the values of 3x - 7?
In a certain game, a large bag is filled with blue, green, purple and red chips worth 1, 5, x and 11 points each, respectively. The purple chips are worth more than the green chips, but less than the red chips. A certain number of chips are then selected from the bag. If the product of the point values of the selected chips is 2200, how many purple chips were selected?
increasing of length and breadth is proposional..length=6 which changes into 21 and breadth changes to 14..what was the previous value of breadth??
Arun and Varun appeared at an examination. Arun secured 9 marks more than Varun and his marks was 56% of the sum of their marks. What are the marks obtained by them
Compute the remainder when: 56666...66665:(2016 sixies) is divided by 17.
Tap 'A' can fill the tank completely in 6 hrs while tap 'B' can empty it by 12 hrs. By mistake, the person forgot to close the tap 'B', As a result, both the taps, remained open. After 4 hrs, the person realized the mistake and immediately closed the tap 'B'. In how much time now onwards, would the tank be full?
Mr. Ortiz has to successfully interview 90% of his assigned households. He was assigned 500 households. He has interviewed 430 households so far. Has he met his goal?
The mean daily profit made by a shopkeeper in a month of 30 days was Rs. 350. If the mean profit for the first fifteen days was Rs. 245, then the mean profit for the last 15 days would be
Find the volume and surface area of a cuboid 16 m long, 14 m broad and 7 m high.
If x is a positive integer with fewer than 3 digits, what is the probability W that x*(x + 1) is a multiple of either 4 or 5?
Exactly 15% of the reporters for a certain wire service cover local politics in Country X. If 25% of the reporters who cover politics for the wire service do not cover local politics in Country X, what percent of the reporters for the wire service do not cover politics?
What least number must be subtracted from 2000 to get a number exactly divisible by 17 ?
The least number which should be added to 1920 so that the sum is exactly divisible by 5,6,4 and 3 is :
Marco rode his dirt bike at 40 miles per hour (mph) for two hours. If he then continued to ride at a different constant rate for another three hours, and at the end of the three hours his average speed for the entire five hour ride was 40mph, what was his average speed over the three hour portion of his ride?
Carmelo and LeBron participate in a six-person footrace on the basketball court during All-Star Weekend. If all six contestants finish (including Charles Barkley) and there are no ties, how many different arrangements of finishes are there in which Carmelo defeats LeBron?
60 % of 2 is equal to
Find the cost price of an item if by selling at Rs.320, a profit of 6% is made?
The speed at which a man can row a boat in still water is 6 km/hr. If he rows downstream, where the speed of current is 3 km/hr, how many seconds will he take to cover 80 meters?
A shopkeeper sold an article at $100 with 15% profit. Then find its cost price?
Bill is golfing with three friends and can either buy generic golf tees that are packaged by the dozen or the higher quality Aero flight tees that come by the pair. What is the minimum number of packages of Aero flight tees Bill must purchase to ensure that he has at least 20 golf tees for each member of his foursome, if he will buy no more than 3 packages of the generic golf tees?
The average age of a husband and a wife is 23 years when they were married five years ago but now the average age of the husband, wife and child is 20 years(the child was born during the interval). What is the present age of the child?
There are 6 boxes numbered 1, 2,…,.6. Each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. The total number of ways in which this can be done is
In a kilo meter race, if A gives B a 40 m start, A wins by 19 s. But if A gives B a 30 s start, B wins by 40 m. Find the time taken by B to run 5,000 m?
Which of the following CANNOT be a value of 5/(x–5)?
The average weight of 4 person's increases by 3 kg when a new person comes in place of one of them weighing 70 kg. What might be the weight of the new person?
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?
When a number is divided by 6 &then multiply by 12 the answer is 9 what is the no.?
What is the tens digit of 6^21?
Trapezoid ABCD has AB parallel to CD, with \ADC = 90o. Given that AD = 5, BC = 13 and DC = 18, compute the area of the trapezoid.
The sum of five consecutive even numbers of set x is 440. Find the sum of a different set of five consecutive integers whose second least number is 121 less than double the least number of set x?
Let us say that a table tennis tournament was going on with knock out terms which means the one who loses the match is out of the tournament. 90 players took part in that tournament. How many matches were played?
If a man can cover 14 metres in one second, how many kilometres can he cover in 3 hours 30 minutes?
If 20m − n = p, then which of the following represents the average (arithmetic mean) of m, n, and p, in terms of m?
3 men or 6 women can do a piece of work in 21 days. In how many days will 12 men and 8 women do the same work?
An outlet pipe can empty 1/3 rd of a cistern in 12 minutes. In 8 minutes, what part of the cistern will be emptied?
Which one the following fractions has the Highest value?
How many kgs of Basmati rice costing Rs.42/kg should a shopkeeper mix with 25 kgs of ordinary rice costing Rs.24 per kg so that he makes a profit of 25% on selling the mixture at Rs.40/kg?
The difference between the place values of 9 and 4 in the number 529435 is
Car X began traveling at an average speed of 35 miles per hour. After 72 minutes, car Y began traveling at an average speed of 38 miles per hour. When both cars had traveled the same distance, both cars stopped. How many miles did car X travel from the time car Y began traveling until both cars stopped?
A and B started a business with their capitals Rs. 24,000 and 48,000 respectively. Annual profit will be distributed between them in the ratio
An article when sold for 200 fetches 25 per cent profit. What would be the percentage profit/loss if 6 such articles are sold for 1,056?
There are 4 girls and 4 boys. If they are to be seated in a row, what is the probability that no two girls sit together?
In a village they organize 4 programs for an festival. The festival occurs in 2 days. In how many ways that the 4 programs can be divided for 2 days festival?
Which of the following inequalities is equivalent to –2 < x < 4 ?
The “length of integer x” refers to the number of prime factors, not necessarily distinct, that x has. (If x = 60, the length of x would be 4 because 60 = 2 × 2 × 3 × 5.) What is the greatest possible length of integer z if z < 2500?
A sum was put at simple interest at certain rate for 3 years. Had it been put at 1% higher rate it would have fetched Rs. 69 more. The sum is: A. Rs. 2,400 B. Rs. 2,100 C. Rs. 2,200 D.Rs. 2,480
It takes Avery 2 hours to build a brick wall while Tom can do it in 5 hours. If the two start working together and after an hour Avery leaves, how much time will it take Tom to complete the wall on his own?
E=√[2√63 + 2/(8+3√7)] =
T is an even integer greater than 300,000 and smaller than 1,000,000. How many numbers can T be?
A box of paper clips contains 100 clips. If an office uses paper clips at the rate of 15 per 100 pieces of outgoing mail, how many boxes will be required for the 4000 pieces of outgoing mail?
A “Sophie Germain” prime is any positive prime number p for which 2p + 1 is also prime. The product of all the possible units digits of Sophie Germain primes greater than 3 is
A camera lens filter kit containing 5 filters sells for $52.50. If the filters are purchased individually, 2 of them are priced at $6.45 each, 2 at $11.05 each, 1 at $15.50. The amount saved by purchasing the kit is what percent of the total price of the 5 filters purchased individually?
In an objective competitive exam, a correct answer score 4 marks and on a wrong answer 2 marks are negatively added. A student scores 420 marks from 150 question. How many answers were correct ?
Kim is taking a math class, and the teacher gives a multiple choice test consisting of 8 questions. If each question has 4 answer choices, and Kim answers every question, in how many different ways can she complete the test?
Out of 10 persons working on a project, 4 are graduates. If 3 are selected, what is the probability that there is at least one graduate among them?
Two pipes function simultaneously the reservoir will be filled in 12 hours. One pipe fills reservoir 10 hours faster than the other. How many hours does the faster pipe take to fill the reservoir?
Income and expenditure of a person are in the ratio 5 : 4. If the income of the person is Rs. 16000, then find his savings?
The average age of 15 students of a class is 16 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years. The age of the 15th student is?
A 6-liter solution is 25% alcohol. How many liters of pure alcohol must be added to produce a solution that is 50% alcohol?
How many integers are divisible by 3 between 10! and 10! + 20 inclusive?
A gets 3 times as much money as B gets, B gets only Rs.25 more then what C gets. The three gets Rs.675 in all. Find the share of B?
A can do double work of B.so,A take 15 days less than B in doing a work.then both together in how much days will finish that work?
What is the units digit of (7!*6! + 6!*4!)/2?
450.271 + 369.422 ÷ 0.03 - 108.612 x 2.001 = ?
Insert the missing number 3, 7, 6, 5, 9, 3, 12, 1, 15, ...
A number increased by 15% gives 1150. The number is
The radius of a circle is increased by 1%. Find how much % does its area increases?
Mandrake has to choose from 4 from 18 people. There are 3 girls, 5 boys , 10 children. What is total probability that he will choose 1G , 2B , 1C?
A train is running at a speed of 40 km/hr and it crosses a post in 18 seconds. What is the length of the train?
What is the probability that a leap year has 53 Sundays and 52 Mondays?
Find the odd man out. 125, 127, 130, 135, 142, 153, 165
The average of 2, 8, 9, 10, 1 and x is 6. What is the value of x?
If X gets 25% more than Y and Y gets 20% more than Z, the share of Z out of Rs. 555 will be:
A salesperson receives a base salary of $800 per month and a commission of 7.5% of the selling price of each item sold above the first 50 item. If this month she sold 210 items for $150 each, what will her monthly salary be?
A, B and C started a business by investing Rs. 45000, Rs. 55000 and Rs. 60000 respectively. At the end of a year, they got a total profit of Rs. 11200. Find how much B gets more than A in the profit?
The length of a rectangle is two - seventh of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 5929 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 25 units?
A box contains four cent coins, of which two coins have heads on both their faces, one coin has tail on both its faces and the fourth coin is a normal one. A coin is picked at random and then tossed. If head is the outcome of the toss, then find the probability that the other face (hidden face) of the coin tossed is also a head.
A boat goes 100 km downstream in 10 hours, and 60 km upstream in 30 hours. The speed of the stream is?
A certain research group plans to create computer models of x% of a list of 10,000 bacterial species known to inhabit the human body. After a budget cut, the group finds it must reduce this selection by (x − 9)%. In terms of x, how many species of bacteria will the group be able to model?
The ratio of red boxes to blue boxes in a certain warehouse is 15 to 25. If the number of the red boxes were doubled and the number of blue boxes were increased by 150 the ratio would be halved. How many total boxes are in the warehouse?
What is the probability of getting a sum 9 from two throws of a dice?
Two members of a certain club are selected to speak at the next club meeting. If there are 66 different possible selections of the 2 club members, how many members does the club have?
A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 24 hrs and a machine of type S does the same job in 12 hours. If the company used the same number of each type of machine to do the job in 2 hours, how many machines of type R were used?
A boy has nine trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?
Express 15 mps in kmph?
A group of n students can be divided into equal groups of 4 with 1 student left over or equal groups of 5 with 2 students left over. What is the sum of the two smallest possible values of n?
A batsman scored 110 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?
If 60/x is an integer and 6/x is an integer, which of the following must be true? I. 6/x is an integer II. 12/x is an integer III. 15/x is an integer
Due to construction, the speed limit along an 7-mile section of highway is reduced from 55 miles per hour to 35 miles per hour. Approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ?
X and Y are positive two-digit integers such that the tens digit in X is the same as the units digit in Y, and the units digit in X is the same as the tens digit in Y. Which of the following could be the difference of X and Y ?
Jane covered a distance of 340 miles between city A and city B taking a total of 5 hours. If part of the distance was covered at 60 miles per hour speed and the balance at 80 miles per hour speed, how many hours did she travel at 60 miles per hour?
If 100<x<199 and 20<y<100, then the product xy CANNOT be equal to:
26 buckets of water fill a tank when the capacity of each bucket is 13.5 litres. How many buckets will be required to fill the same tank if the capacity of each bucket is 9 litres?