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big_math_dataset

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An office has 6 employees; there are 5 female employees and 1 male employee. In how many ways can a 3-person committee be created if the committee must include the male employee?
A certain number of two digits is three times the sum of its digits and if 45 be added to it, the degits are reversed. The number is.
You have been given a physical balance and 7 weights of 52, 50, 48, 44, 45, 46, and 78 Kgs.. Keeping weights on one pan and object on the other, what is the maximum you can weigh less than 183 Kgs.?
Two vessels contains equal number of mixtures milk and water in the ratio 4:1 and 7:3. Both the mixtures are now mixed thoroughly. Find the ratio of milk to water in the new mixture so obtained?
A train is moving at a speed of 30km/hr and its length is 100m. Find the time taken by it to pass a man standing near the railway line?
The mean of 50 observations was 32. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is
A vessel of capacity 60 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?
Last year, Company X paid out a total of $1,050,000 in salaries to its 31 employees. If no employee earned a salary that is more than 20% greater than any other employee, what is the lowest possible salary that any one employee earned?
If 3<x<6<y<10, then what is the greatest possible positive integer difference of x and y?
A secondhand car was purchased for £8000. After three years the car's value had decreased by 35%.Find the price of the car after three years.
If the S.P of Rs. 63 results in a 10% discount on the list price, What S.P would result in a 20% discount on the list price?
If -3x > 0, which of the following must be true?
Three seventh of a number is 12 more than 40% of that number. What will be the 60% of that number?
Circular gears L and R start to rotate at the same time at the same rate. Gear R makes 10 complete revolutions per minute and gear L makes 40 revolutions per minute. How many seconds after the gears start to rotate will gear L have made exactly 6 more revolutions than gear R?
The area of playground is 6000 sq. meters. What will be the cost of covering it with grass sheet 1cm deep, if cost of grass sheet is $2.80 per cubic meter.
If the wheel is 14 cm then the number of revolutions to cover a distance of 1056 cm is?
Two trains leaving from two station 50 miles away from each other with costant speed of 60 miles per hour, approaches towards each other on diffrent tracks. if lenght of each train is 1/6 mile. when they meet How much time they need to pass each other totally?
The base of a triangle is 15 cm and height is 12 cm. The height of another triangle of double the area having the base 20 cm is :
In a can, there is a mixture of milk and water in the ratio 5:3. If the can is filled with an additional 20 liters of milk, the can would be full and the ratio of milk and water would become 3:1. Find the capacity of the can?
Company X provides bottled water to its employees in 5 liter bottles, $2 each. At least how many 5L bottles must Company X buy monthly, so that new contract with $100 fixed monthly rate and $1 for 10L bottle each paid off? (Assume that no other costs apply)
Sum of two numbers is 30. Two times of the first exceeds by 10 from the three times of the other. Then the numbers will be?
In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr?
60 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?
At a local supermarket, a box of cereal usually costs 22 dollars. This week, the supermarket sells the box of cereal for 11 dollars. How much money will you save if you buy this cereal at this supermarket?
243 has been divided into three parts such that half of the first part, one - third of the second part and one - fourth of the third part are equal. The largest part is ?
1 + 2 + 3 + ... + 12 = ?
In a series of football matches, the probability that Team P wins a match against Team Q is 1/5 and the probability that the match ends in a draw is 2/3. If the two teams play five matches, what is the probability that all five matches end in a draw?
If the sum of a number and its square is 182, what is the number?
A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 5 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?
Mr and Mrs A are opposite to each other.The distance between Mr A and Mrs A are 120 km.The speed of Mr A and Mrs A are 30 kmph, 10 kmph respectively.one Bee is running between Mr A nose to Mrs A nose and returning back to Mr A nose.The speed of Bee is 60 kmph. Then How far Bee traveled?
x, y, and z are three positive integers whose average is 10. If x≤y≤z and z-x=3, which of the following could be the median W of x, y, and z? I. 9 II. 10 III. 11
Find the annual income derived by investing $ 6800 in 20% stock at 136.
If 10 gallons of grape juice are added to 40 gallons of a mixture, which contains 20 percent grape juice then what percent of the resulting mixture is grape juice?
Frances can complete a job in 6 hours, and Joan can complete the same job in 12 hours. Frances starts the job at 9 a.m., and stops working at 1 p.m. If Joan starts working at 4 p.m. to complete the job, at what time is the job finished?
The population of a bacteria colony doubles every day. If it was started 7 days ago with 2 bacteria and each bacteria lives for 12 days, how large is the colony today?
What is the place value of 5 in the numeral 2534?
A, B and C invested Rs. 8000, Rs. 4000 and Rs. 8000 respectively in a business. A left after six months. If after eight months, there was a gain of Rs. 4005, then what will be the share of B?
At what rate percent on simple interest will Rs.415 amount to Rs.514 in 4 years ?
A bank issued credit card numbers and the corresponding PIN (Personal Identification Number). Both are 3-digit numbers up to 996. Pinaki was the last to get the credit card and so he had the last possible credit card number. He was afraid of forgetting his PIN. He wrote down the number 126 in his diary to remember his ...
In a certain series, each term is m greater than the previous term. If the 22nd term is 560 and the 19th term is 500, what is the first term?
In a college, 1 percent of students hate math, 2 percent of students hate English, 1 percent hate French and 4 percent hate German. Can you find out the percentage of students who hate all 4 subjects ?
7x + y = 19 , and x + 3y = 1. Find the value of 2x + y
The amount of water (in ml) that should be added to reduce 9 ml. Lotion, containing 50% alcohol, to a lotion containing 30% alcohol, is?
Q. How many 5-digit even numbers less than 3,000,000 can be formed using the following digits: 1, 2, 2, 3, 5?
4 male farmers and 6 female farmers can cultivate a field in 8 days, while 3 male farmers and 7 female farmers can cultivate the field in 10 days. In how many days 10 female farmers can cultivate the same field?
Three persons A, B and C divide a certain amount of money such that A's share is Rs. 4 less than half of the total amount, B's share is Rs. 8 more than half of what is left and finally C takes the rest which is Rs. 14. Find the total amount they initially had with them?
A man's speed with the current is 15 km/hr and the speed of the current is 3.2 km/hr. The man's speed against the current is?
3/4 of 1/2 of 2/5 of 5080 = ?
A teacher grades students’ tests by subtracting twice the number of incorrect responses from the number of correct responses. If Student B answers each of the 100 questions on her test and receives a score of 73, how many questions did Student B answer correctly?
A train 900 m long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 min, then the length of the tunnel is?
How many times in a day, the hands of a clock are straight?
How many odd numbers are possible between 1 to 1000000? find out the number of odd number of digits?
Two trains 120 m and 190 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Ravi and Kumar are working on an assignment. Ravi takes 6 hours to type 32 pages on a computer, while Kumar takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?
If a car had traveled 20 kmh faster than it actually did, the trip would have lasted 30 minutes less. If the car went exactly 60 km, at what speed did it travel?
SCORE INTERVAL----------------NUMBER OF SCORES 50-59-------------------------- 8 60-69--------------------------10 70-79--------------------------16 80-89--------------------------27 90-99--------------------------18 The table above shows the distribution of test scores for a group of management trainees. Which score i...
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?
The population of a bacteria colony doubles every day. If it was started 5 days ago with 2 bacteria and each bacteria lives for 12 days, how large is the colony today?
In one hour a boat goes 22 km long the stream and 12 km against the stream.The speed of the boat in still water is?
A vessel of capacity 2 litre has 30% of alcohol and another vessel of capacity 6 litre had 45% alcohol. The total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water. What is the new concentration of Mixture?
On an xy-graph, three corners of a parallelogram are located at (3, 3), (4, – 4), and (–2, –1). Which of the following points could be the remaining corner?
If 9 parallel lines in a plane is intersected by a family of another 8 parallel lines, how many parallelograms are there in the network thus formed?
If the prime factorization of the integer q can be expressed as a^2xb^xc^3x−1, where a, b, c, and x are distinct positive integers, which of the following could be the total number of factors of q?
Which of the following is closest to 10^140 – 10^30 ?
A windmill is taking advantage of strong air currents in order to produce electrical energy. On a typical day the wind speed is around 20 mph and in that speed the windmill produces 500 kw/h (kilowatts per hour). On a stormy day a windmill produces 20% more energy. How much kw/h can three windmills produce in two hours...
There are 60 people and 3 clubs M, S, and Z in a company. 16 people joined M, 18 people joined S and 11 people joined Z. If the members of M did not join any other club, at most, how many people of the company did not join any club?
P cando a work in 15 days and Q cando the same work in 20 days. If they can work together for 4 days, what is the fraction of work left?
In how many years will a sum of money doubles itself at 12% per annum on simple interest?
If x is an integer, find the minimum value of x such that 0.00001154111 x 10^x exceeds 1000.
Find the surface area of a 8 cm x 4 cm x 2 cm brick.
A man has some hens and cows. If the number of heads be 48 and the number of feet equals 140, then the number of hens will be:
What is the average of two tenths and five thousandths
A train 110 meters long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?
A water tank is one-third full.Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes.If both the pipes are open,how long will it take to empty or fill the tank completely?
Ram professes to sell his goods at the cost price but he made use of 900 grms instead of a kg, what is the gain percent?
If an apple orchard has 10,000 apples on its trees, and every day half of the apples on the trees are harvested, how many will still be on the trees after 4 days?
A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?
Dacid obtained 96, 95, 82, 87 and 92 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks?
The sum of ages of Aswin ,Sachin and Sumesh is 93 years.10 years ago ratio of their age was 2:3:4.what is the present age of sachin.
After giving a discount of rs.50 the shopkeeper still gets a profit of 20%,if the cost price is rs.180.find the markup %?
Rocky is 22 and his brother Ronnie is 25 years old. How many years ago was the ratio of their ages 2:5 ?
If the operation # is defined for all a and b by the equation a@b =(a*b)-1, then 2#(3#1) =
A ballet instructor has decided to divide her next class into equal groups. Unfortunately, the number of students doesn't divide equally by the group size that she wanted. It turns out that in order for the groups to be equal, she must increase her group size by one and cut three children from the roster. Which of the ...
Evaluate 25% of 450 + 45% of 250
xy=1 then what is (7^(x+y)^2) / (7^(x-y)^2)
A fruit salad mixture consists of apples, peaches, and grapes. There are 2 times as many pounds of apples as grapes and 3 times as many pounds of peaches as grapes. If a mixture that has an average (arithmetic mean) of 9 pounds per fruit, how many more pounds of apples than grapes does the mixture have?
If an amount of Rs.142136 is distributed equally amongst 163 persons, how much amount would each person get?
There are 12 teachers in a school. If the average age of the teachers is 36, what will be the new average age if a 30 year old teacher joins the school?
How many numbers from 10 to 100000 are exactly divisible by 9?
A student committee that must consists of 3 members is to be formed from a pool of 9 candidates. How many different committees are possible
2 men and 4 women are lined up in a row. What is the number of cases where they stand with each other in turn? (The number of cases in which men (or women) do not stand next to each other)
The average of all odd numbers up to 200 is
A rectangular swimming pool is 10 feet by 12 feet. A deck that has uniform width surrounds the pool. The total area of the pool and deck is 360 square feet. What is the width of the deck?
A day-trader plans to invest a total of $23,400 into 15 separate investments. If each investment requires a minimum deposit of $1,400, then which of the following is the maximum amount that she could put into any one investment?
16, 23, 19, 19, 22, 15, 25, ? What number should replace the question mark?
The sum of two consecutive number is 49. Which is the larger number?
If 0 < a < b and k = (4a + 3b)/b , which of the following must be true?
the sum of 2nd and 19th term of A.P. is equal to the sum of 8th , 15th and 12 th term . find the term which is 0
How many kg of sugar costing Rs. 9/kg must be mixed with 27kg of sugar costing Rs. 7/ kg so that there may be a gain of 10% the mixture at Rs. 9.24 per kg?