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big_math_dataset

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A person walks at a speed of 4 km/hr and runs at a speed of 8 km/hr. How many hours will the person require to cover a distance of 20 km, if the person completes half of the distance by walking and the other half by running?
If a man's rate with the current is 15 km/hr and the rate of the current is 11⁄2 km/hr, then his rate against the current is
What approximate value should come in place of the question mark (?) in the following equation?47.05 × 8.65 – 25.22 × 6.4 = (28 + ?) × 5
A certain city with population of 132,000 is to be divided into 11 voting districts, and no district is to have a population that is more than 10 percent greater than the population of any other district. What is the minimum possible population that the least populated district could have?
A man purchased 3 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.162. Find the unknown rate of two blankets?
If the set S is composed of the following numbers {99, 100, 100, 105, 106, 116, 123}, which of the following is largest?
On thrusday mabel handled 90 transactions. anthony handled 10 % more transaction than mabel, cal handled 2/3rds of the transactions that anthony handled and jade handled 16 more transaction than cal. how much transaction did jade handled?
Which of the following statements is equivalent to 8+2X<18−6X<23+2X8+2X<18−6X<23+2X?
Two numbers are in ratio 4:5 and their LCM is 180. The smaller number is
A fruit seller had some oranges. He sells 40% oranges and still has 420 oranges. How many oranges he had originally?
A can do a piece of work in 4 hours. B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?
x+(1/x) = 2 find x^2 + (1/x^2)
The prices of tea and coffee per kg were the same in june. In july the price of coffee shot up by 20% and that of tea dropped by 20%. if in july , a mixture containing equal quantities of tea and coffee costs 70/kg. how much did a kg of coffee cost in june ?
A man's age is 125% of what it was 10 years ago, but 83 1/3% of what it will be after 10 years. What is his present age?
A small table has a length of 12 inches and a breadth of b inches. Cubes are placed on the surface of the table so as to cover the entire surface. The maximum side of such cubes is found to be 4 inches. Also, a few such tables are arranged to form a square. The minimum length of side possible for such a square is 80 inches. Find b.
For an upcoming charity event, a male vocalist has agreed to sing 3 out of 8 “old songs” and 4 out of 7 “new songs.” How many ways can the singer make his selection?
Kim bought a total of $4.65 worth of postage stamps in four denominations. If she bought an equal number of 10-cent and 25-cent stamps and twice as many 20-cent stamps as 5-cent stamps, what is the least number of 1-cent stamps she could have bought?
The average earning of a person for the first four days of a week is Rs 18 and for the last four days is Rs 22. If he earns Rs 20 on the fourth day, his average earning for the whole week is?
For any number Z, Z* is defined as the greatest positive even integer less than or equal to y. What is the value of 6.25 – 6.25*?
How many consonants are present between the first and fourth vowel in the sequence of English alphabet ?
How many 9's are there between 1 and 100?
A, B and C started a partnership business by investing Rs.8000, Rs.4000, Rs.2000 respectively. At the end of the year , the profit were distributed among them. If C's share of profit is 36000, What is the total profit?
P , Q, R enter into a partnership & their share are in the ratio 1/2 : 1/3 : 1/4 , after two months , P withdraws half of the capitals & after 10 months , a profit of Rs 336 is divided among them . What is Q's share?
John and Ingrid pay 30% and 40% tax annually, respectively. If John makes $57000 and Ingrid makes $72000, what is their combined tax rate?
Speed of a boat in standing water is 9 kmph and the speed of the stream is 1.5 kmph. A man rows to place at a distance of 105 km and comes back to the starting point. The total time taken by him is:
The parameter of a square is equal to the perimeter of a rectangle of length 14 cm and breadth 10 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)?
In a lottery, there are 10 prizes and 25 blanks . A lottery is drawn at random .What is the probability of getting a prize?
There are some pigeons and hares in a zoo. If heads are counted, there are 200. If legs are counted, there are 580. The number of hares in the zoo is?
Find the average of all the numbers between 6 and 34 which are divisible by 5?
Working at their respective constant rates, Paul, Abdul and Adam alone can finish a certain work in 3, 4, and 5 hours respectively. If all three work together to finish the work, what fraction K of the work will be done by Adam?
A, B and C can independently complete a piece of work in 8,12 and 6 days respectively. A and B work together for 4 days and leave. How long will C take to finish the remaining work?
z is a positive integer and multiple of 2; w = 4^z, what is the remainder when w is divided by 10?
A train running at a speed of 36 kmph crosses an electric pole in 12 seconds. In how much time will it cross a 370 m long platform?
In 2008, the profits of Company N were 10 percent of revenues. In 2009, the revenues of Company N fell by 20 percent, but profits were 12 percent of revenues. The profits in 2009 were what percent of the profits in 2008?
Which of the following fractions is the largest?
The value of ((x – y)³ + (y - z)³ + (z – x)³)/(15 (x – y) (y – z) (z – x)) is equal to :
A crate of apples contains 1 bruised apple for every 20 apples in the crate. Three out of every 4 bruised apples are considered not fit to sell, and every apple that is not fit to sell is bruised. If there are 12 apples not fit to sell in the crate, how many apples are there in the crate?
If x = y+3+4.5x and y = x+33, what is the value of x/y ?
Working alone at its constant rate, machine K took 3 hours to produce 1/6 of the units produced last Friday. Then machine M started working and the two machines, working simultaneously at their respective constant rates, took 6 hours to produce the rest of the units produced last Friday. How many hours would it have taken machine M, working alone at its constant rate, to produce all of the units produced last Friday?
If y ≠ 3 and 2b/y is a prime integer greater than 2, which of the following must be true? I. b = y II. y = 1 III. b and y are prime integers.
Let S be the set of all positive integers that, when divided by 8, have a remainder of 5. What is the 72th number in this set?
what is the compound interest on rs:80,000 for 4 months at the rate of 5% per annum
The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is?
What is the least number that should be added to 1077, so the sum of the number is divisible by 23?
Tough and Tricky questions: Number Properties. What is the smallest positive integer x such that 500x is the cube of a positive integer?
Profits in the partnership of Bess, Bill and Bob are shared in the ratio 1 : 2 : 3. If Bill's share of the profits is $300, what is Bob's share?
A, B and C enter into a partnership and theirs shares are in the ratio 1/2 : 1/3 : 1/4. After two months, A withdraws half of his capital and after 10 months, a profit of Rs.378 is divided among them. What is B’s share?
A certain sum amounts to Rs.7350 in 2 years and to Rs.8575 in 3 years.find the sum and rate percent
Look at this series: 3, 1, (1/3), (1/9),... What number should come next?
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 3 inches wide on each side, the total area would have been (M + 52) square inches. What is the perimeter of the photograph, in inches?
8, 19, 30, 41, 52, …. Given the sequence above, what is the sum of the 15th and the 20th terms?
Three numbers are in the ratio 1 : 2 : 3 and their H.C.F is 12. The numbers are
How many integers, greater than 999 but not greater than 4000, can be formed with the digits 0, 1, 2, 3 and 4, if repetition of digits is allowed?
A bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is
78, 64, 48, 30, 10, (...)
According to the direction on a can of frozen orange juice concentrate is to be mixed with 3 cans of water to make orange juice . How many 10 - ounce cans of the concentrate are required to prepare 200 6-ounce servings of orange juice?
The ratio of sum of squares of first n natural numbers to square of sum of first n natural numbers is 17:325. the value of n is
An office supply store stocks two sizes of notebooks, each in five colors: blue, green, yellow, red, or pink. The store packs the notebooks in packages that contain either 4 notebooks of the same size and the same color or 4 notebooks of the same size and of 4 different colors. If the order in which the colors are packed is not considered, how many different packages of the types described above are possible?
How many pieces of 0.85 meteres can be cut from a rod 42.5 meteres long
What is 120% of 13/24 of 360?
How many odd numbers between 10 and 1,000 are the squares of integers?
Two trains each 150m in length each, are running on two parallel lines in opposite directions. If one goes at the speed of 95km/h while the other travels at 85km/h. how long will it take for them to pass each other completely.
The duplicate ratio of 6:4 is?
A leak in the bottom of a tank can empty the full tank in 6 hours. An inlet pipe fills water at the rate of 4 liters per minute. When the tank is full in inlet is opened and due to the leak the tank is empties in 8 hours. The capacity of the tank is?
A clothing store originally bought 100 jackets at a total cost of j dollars. If each jacket was sold for 50 percent more than its original cost, what was the individual price, in terms of j, of each jacket sold?
Three unbiased coins are tossed, what is the probability of getting at least 2 tails ?
The diameter of the driving wheel of a bus in 140 cm. How many revolutions per minute must the wheel make in order to keep a speed of 14 kmph?
Find number which is 70% less than 80.
In a BCCI meeting there are ten people. All shake hands with each other once. How many handshakes will be there altogether?
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?
The sum of money at compound interest amounts to thrice itself in 2 years. In how many years will it be 6 times itself?
Three pounds of 05 grass seed contain 1 percent herbicide. A different type of grass seed, 20, which contains 20 percent herbicide, will be mixed with three pounds of 05 grass seed. How much grass seed of type 20 should be added to the three pounds of 05 grass seed so that the mixture contains 15 percent herbicide?
One night 17 percent of the female officers on a police force were on duty. If 204 police officers were on duty that night and half of these were female officers, how many female officers were on the police force?
The blood groups of 100 people is distributed as follows: 15 have type A blood, 20 have B blood type, 60 have O blood type and 5 have type AB blood. If a person from this group is selected at random, what is the probability that this person has AB blood type?
A traveler changes 150 pounds into rupees at the rate of Rs. 7000 for 100 pounds. He spends Rs. 9060 and changes the remaining amount back to pounds at the rate of 100 pounds to Rs. 7200. How many pounds will he get?
Bill downloads the movieRevenge of the Avengersto his computer in 2.5 hours, using a download manager that downloads from 3 sources marked A, B and C. Each source provides download at a constant rate, but the rates of different sources are not necessarily identical. If the movie was downloaded from sources A and C alone, it would take 4 hours to complete the download. The next day, source B is available, but the other sources are inactive. How long will it take to download the trailer of the movie, a file that is 80 times smaller, from source B alone?
A is twice as good workman as B, and together they complete a work in 15 days. In how many days can the work be complete by B alone?
In one alloy there is 12% chromium while in another alloy it is 8%. 15 kg of the first alloy was melted together with 35 kg of the second one to form a third alloy. Find the percentage of chromium in the new alloy.
What is the probability of getting a sum 9 from two throws of a dice?
A shopkeeper purchased 70 kg of potatoes for Rs. 420 and sold the whole lot at the rate of Rs. 6.70 per kg. What will be his gain percent?
There are 20 brown dogs, 10 white dogs, 15 black dogs.Totally how many dogs are there in all?
The Guests at a football banquet consumed a total of 327 pounds of food. if no individual guest consumed more than 2 pounds of food, What is the minimum number of guests that could have attended the banquet?
A goods train runs at the speed of 72 km/hr and crosses a 270 m long platform in 26 sec. What is the length of the goods train?
A, B and C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?
In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
A rectangular farm has to be fenced one long side, one short side and the diagonal. If the cost of fencing is Rs.13 per meter. The area of farm is 1200 m2 and the short side is 30 m long. How much would the job cost?
The average salary of the employees in a office is Rs.120/month.The avg salary of officers is Rs.460 and of non officers is Rs 110. If the no.of officers is 15,then find the No of nonofficers in the office.
Difference between the length &breadth of a rectangle is 10 m. If its perimeter is 60 m, then its area is??
The banker’s gain on a sum due 3 years hence at 10% per annum is Rs. 60. The banker’s discount is
In how many ways Chief Minister and Minister be elected from a team of 12 members?
If a,b are positive integers and a/b=77.75 which of the following could be the value of b?
Shawn invested one half of his savings in a bond that paid simple interest for 2 years and received $550 as interest. He invested the remaining in a bond that paid compound interest, interest being compounded annually, for the same 2 years at the same rate of interest and received $605 as interest. What was the value of his total savings before investing in these two bonds?
How is 4% expressed as a decimal fraction?
Adam sat with his friends in the Chinnaswamy stadium at Madurai to watch the 100 metres running race organized by the Asian athletics Association. Five rounds were run. After every round half the teams were eliminated. Finally, one team wins the game. How many teams participated in the race?
Two trains A and B are 175 m and 150 m long and are moving at one another at 54 Km/hr and 36 Km/hr respectively. Arun is sitting on coach B1 of train A. Calculate the time taken by Arun to completely cross Train B.
In how many ways can a committee of 4 people comprising at least 3 boys be formed using a group of 4 boys and 6 girls?
A sporting goods store sold 64 Frisbees in one week, some for $3 and the rest for $4 each. If receipts from Frisbee sales for the week totaled $204, what is the fewest number of $3 Frisbees that could have been sold?
water is continuously poured from a reservoir to a locality at the steady rate of 10,000 liters per hour. When delivery exceeds demand the excess water is stored in a tank. If the demand for 8 consecutive three-hour periods is 10000,10000,45000,25000,40000,15000,60000 and 35000 liters respectively, what will be the minimum capacity required of the water tank (in 1000 litres) to meet the demand?
If an article is sold at 18% profit instead of 11% profit, then the profit would be $56 more. What is the cost price?
If the tens digit of positive integers x, y are 6, how many values of the tens digit of 2(x+y) can be there?