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big_math_dataset

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A train of length 250 m crosses a bridge of length 120m in 20 seconds. What is the speed of train?
Two parallel sides of a trapezium are 4 cm and 5 cm respectively. The perpendicular distance between the parallel sides is 6 cm. Find the area of the trapezium.
In a certain experiment, the data collected is the number of organisms per sample, and this data follows a normal distribution. If the sample of data has a mean of 60 and a standard deviation of 12, which of the following is exactly 1.95 standard deviations more than the mean?
For how many values n is 2^x = x^2 ?
In a stockpile of products produced by three machines M1, M2 and M3, 40% and 30% were manufactured by M1 and M2 respectively. 3% of the products of M1 are defective, 1% of products of M2 defective, while 91% of the products of M3 III are not defective. What is the percentage of defective in the stockpile?
Last week John spent 30 percent of his wages on recreation. This week, his wages are 25 percent less than last weekʼs wages and he spent 20 percent of his wages on recreation. The amount he spends on recreation this week is what percent of the amount he spent on recreation last week?
What number times (1⁄6)^2 will give the value of 6^3?
Mr. Jones sold two pipes at $1.20 each. Based on the cost, his profit one was 20% and his loss on the other was 20%. On the sale of the pipes. Find the amount of his profit or loss?
Find the area of a parallelogram with base 12 cm and height 10 cm?
A license plate in the country Kerrania consists of four digits followed by two letters. The letters A, B, and C are used only by government vehicles while the letters D through Z are used by non-government vehicles. Kerrania's intelligence agency has recently captured a message from the country Gonzalia indicating that an electronic transmitter has been installed in a Kerrania government vehicle with a license plate starting with 79. If it takes the police 5 minutes to inspect each vehicle, what is the probability that the police will find the transmitter within three hours?
Pipe P can drain the liquid from a tank in 3/4 the time that it takes pipe Q to drain it and in 1/3 the time that it takes pipe R to do it. If all 3 pipes operating simultaneously but independently are used to drain liquid from the tank, then pipe Q drains what portion of the liquid from the tank?
In the kitchen of a busy restaurant, it takes M minutes to wash P pots. At this rate, how many hours does it take to wash 8P pots?
The fourth proportional to 12, 16 and 18 is?
The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?
The sum of three numbers is 136. If the ratio between first and second be 2 : 3 and that between second and third is 5 : 3, then the second number is
sunil start from home at 4 pm and reaches school everyday at 5pm to pick up his children.on saturday the school got over ai 4 pm and children started walking towards home.sunil met them on the way and returned home 15min early.if speed of sunil is 35km/hr then for how many min did children walk? what is speed of children???
A train 75 m long is running with a speed of 54 km per hour. In what time will it pass a telegraph post?
A man purchases 2 watches for $ 560. He sells one at 15% profit and the other at a loss of 10%. He neither gains nor loses on the whole. Thus, the cost price of two watches are :
A car travels 25km an hour faster than a bus for a journey of 500km. If the bus takes 10 hours more than the car, then the speeds of the bus and the car are
A recycling facility is staffed by 7 floor workers and one manager. All of the floor workers are paid equal wages, but the manager is paid n times as much as a floor worker. If the manager’s wages account for 1/7 of all wages paid at the facility, what is the value of n?
The difference between the squares of two consecutive numbers is 37. Find the numbers.
A sells a bicycle to B at a profit of 75% and B sells it to C at a loss of 40%. Find the resultant profit or loss.
When 7 fair coins are tossed simultaneously, in how many outcomes will the first and the last coin turn up heads?
Out of 17 applicants 8 boys and 9 girls. Two persons are to be selected for the job. Find the probability that at least one of the selected persons will be a girl.
A certain university will select 1 of 3 candidates eligible to fill a position in the mathematics department and 2 of 10 candidates eligible to fill 2 identical positions in the computer science department. If none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the 3 positions?
A 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train?
How many kilograms of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per Kg so that there may be a gain of 10 % by selling the mixture at Rs. 9.24 per Kg ?
22.32 + 583.122 + 42.42 = ?
Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
A salesman sold twice as much pears in the afternoon than in the morning. If he sold $360 kilograms of pears that day, how many kilograms did he sell in the morning and how many in the afternoon?
Find the simple interest on $10000 at 8% per annum for 12 months?
Johnny borrows $50,000 from Tony at 3% daily interest compounded daily. How much does Johnny owe Tony after 4 weeks?
893.7 – 573.07 – 95.007 = ?
A snail, climbing a 36 feet high wall, climbs up 8 feet on the first day but slides down 4 feet on the second. It climbs 8 feet on the third day and slides down again 4 feet on the fourth day. If this pattern continues, how many days will it take the snail to reach the top of the wall?
A man covers a distance of 1200 km in 70 days resting 9 hours a day, if he rests 10 hours a day and walks with speed 1½ times of the previous in how many days will he cover 750 km?
What is the tens digit of 7^1001?
A sum of Rs. 125000 amounts to Rs. 15500 in 4 years at the rate of simple interest. What is the rate of interest?
The difference between a two-digit number and the number obtained by interchanging the two digits is 63. Which is the smaller of the two numbers ?
A goods train runs at the speed of 72 km/hr and crosses a 250 m long platform in 26 sec. What is the length of the goods train?
Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.1800. How much third person will get?
4 shooters are hitting 1 out of 4 different targets. What is the probability that exactly one shooter will hit each target.
Working alone, printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 15, 12, and 18 hours, respectively. What is the ratio of the time it takes printer X to do the job, working alone at its rate, to the time it takes printers Y and Z to do the job, working together at their individual rates?
The average age 15 members of a committee are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new member than the old number?
The circulation for magazine Y in 1971 was 5 times the average (arithmetic mean) yearly circulation for magazine Y for the years 1972-1980. What is the ratio of the circulation in 1971 to the total circulation during 1971-1980 for magazine Y ?
John has only pennies, dimes, and nickels in a jar. The jar has at least 1 but no more than 4 pennies. If the jar has at least 1 nickel and 1 dime, which of the following could NOT be the total amount of money in the jar?
The average age of three boys is 28 years and their ages are in the proportion 4 : 6 : 8. The age of the youngest boy is:
The number 152 is equal to the sum of the cubes of two integers. What is the product of those integers?
Annie has 100 cards numbered 1 through 100. If she deals eight cards to Alex, without replacing any of them, what is the probability that Alex will get five consecutive numbers?
The current ages of 3 individuals are in the ratio 4:7:9. 0.8 decades ago, the sum of their ages was 56. Find their current ages in years
How many solution does the expression x+3−−−−√=xx+3−−−−√x+3=xx+3 has?
The population of a bacteria culture doubles every 2 minutes. Approximately how many minutes will it take for the population to grow from 1,000 to 1,000,000 bacteria
A single discount equivalent to the discount series of 20%, 10% and 5% is?
If n is a positive integer, what is the remainder when (4^(4n+3))(6^n) is divided by 10?
A certain clock rings two notes at quarter past the hour, four notes at half past, and six notes at three-quarters past. On the hour, it rings eight notes plus an additional number of notes equal to whatever hour it is. How many notes will the clock ring from 1:00 p.m. through 5:00 p.m., including the rings at 1:00 and 5:00?
If (A+B) = 4, (B+C) = 7 and (C+D) = 5, what is the value of (A+D)?
A man buys an item at Rs. 750 and sells it at the loss of 20 percent. Then what is the selling price of that item
Find the sum of prime numbers lying between 60 and 75.
Two trains are running in opposite directions with the same speed. If the length of each train is 130 m and they cross each other in 12 sec, then the speed of each train is?
Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 32 hours and 16 hours respectively. The ratio of their speeds is
50 percent of Andrea's living room floor is covered by a carpet that is 4 feet by 9 feet. What is the area of her living room floor?
A person purchased a TV set for Rs. 16000 and a DVD player for Rs. 6250. He sold both the items together for Rs. 31150. What percentage of profit did he make?
Out of seven consonants and three vowels, how many words can be made so that each word contains two consonants and three vowels?
What is the 27th digit to the right of the decimal point in the decimal form of 5/11?
In a photography exhibition, some photographs were taken by Octavia the photographer, and some photographs were framed by Jack the framer. Jack had framed 24 photographs taken by Octavia, and 12 photographs taken by other photographers. If 36 of the photographs in the exhibition were taken by Octavia, how many photographs were either framed by Jack or taken by Octavia?
At a local appliance manufacturing facility, the workers received a 40% hourly pay raise due to extraordinary performance. If one worker decided to reduce the number of hours that he worked so that his overall pay would remain unchanged, by approximately what percent would he reduce the number of hours that he worked?
A circular path of 16 m radius has marginal walk 3 m wide all round it. Find the cost of leveling the walk at Rs.2 per m2?
If n = 2×3×5×7×11×13×15, then which of the following statements must be true? I. n^2 is divisible by 600 II. n + 19 is divisible by 19 III. (n + 4)/2 is even
By giving Rs. 50 to M, A would have the amount equal to what M had earlier. If the sum of the amounts with A and M is Rs. 650. What is the ratio of the amount with A to that with M earlier?
At Amiee’s Pet Shop, 10 cups of bird seed are used every 4 days to feed 6 parakeets. How many cups of bird seed would be required to feed 10 parakeets for 5 days?
If a and b are positive integers and b ≠ 1, then ab(b −1) is
The Diagonals of two squares are in the ratio of 2:5. find the ratio of their areas.
The length of a train and that of a platform are equal. If with a speed of 90 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is?
In a certain lottery drawing, two balls are selected at random from a container with 50 balls, numbered from 1 to 50, inclusive. If the winner of the lottery is awarded a cash prize in the amount of $1,000 times the product of the numbers on the two selected balls, which of the following is a possible amount of the cash prize given to the winner?
A man walking at a constant rate of 6 miles per hour is passed by a woman traveling in the same direction along the same path at a constant rate of 12 miles per hour. The woman stops to wait for the man 10 minutes after passing him, while the man continues to walk at his constant rate. How many minutes must the woman wait until the man catches up?
In how many different ways can the letters of the word ‘RED’ be arranged ?
An empty wooden vessel weighs 16% of its total weight when filled with paint. If the weight of a partially filled vessel is one half that of a completely filled vessel, what fraction of the vessel is filled.
What is the smallest number which is a perfect square and is divisible by 16, 20 and 24?
Find the number of Zeros in: (1)^1 x (2)^2 x (3)^3 x (4)^4 x ......(99)^99 x (100)^100
What is the area D of the square with the following coordinates: (x, y), (20, 20), (20, 5), (x, 5)?
An ice cream cone is three inches tall and its top is a circle with diameter two inches. The cone is lled with ice cream, such that the interior of the cone is entirely full. The cone is topped with a hemisphere of ice cream with diameter two inches. What is the total volume, in cubic inches, of the ice cream in and atop the cone?
On a certain day, Tim invested $600 at 10 percent annual interest, compounded annually, and Lana invested 1,000 at 5 percent annual interest, compounded annually.The total amount of interest earned by Tim’s investment in the first 2 years was how much greater than the total amount of interest earned by Lana’s investment in the first 2 years?
Pipe A can fill a tank in 20 hours, pipe B in 20 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled?
Given f(x) = 3x – 5, for what value of x does 2*[f(x)] – 16 = f(x – 6) ?
If Rs.450 amount to Rs.540 in 4 years, what will it amount to in 6 years at the same rate % per annum?
How many positive integers less than 100 have a remainder of 11 when divided by 13?
For which of the following functions does f(−q)=−f(q) for all real number values of x?
If the perimeter of square region E and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2:3 then the ratio of the area of R to the area of E
In a certain accounting class of 90 students, 70% of the students took the final exam on the assigned day while the rest of the students took the exam on a make-up date. If the students on the assigned day had an average score of 60%, and the students on the make-up date had an average score of 70%, what was the average score for the entire class?
If the product of the integers j, k, l and m is 770, and if 1 < j< k< l< m, what is the value of j+ m?
For prime number y, y>3. Which of the following could be the remainder when y^3 is divided by 12?
It costs $2 for the first 1/4 hour to use the bathroom. After the first ¼ hour it costs $8 per hour. If a certain customer uses the bathroom for 1 hour, how much will it cost him?
A dog takes 3 leaps for every 5 leaps of a hare. If one leap of the dog is equal to 3 leaps of the hare, the ratio of the speed of the dog to that of the hare is :
Each day, Jane swims a certain number of lengths. On day 1, she swims 8 lengths. Each day, she swims 8 more lengths than the day before. What is the average number of lengths she swims each day in the first week?
How many 4-digit W numbers (ABCD) can be formed such that |A – D| = 2?
A single discount equivalent to the discount series of 14%, 10% and 5% is?
What will be the remainder if 2^300 is divided by 4?
If Re.1 amounts to Rs.9 over a period of 20 years. What is the rate of simple interest?
Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 49 hours respectively. The ratio of their speeds is?
The radius of a wheel is 24.2 cm. What is the distance covered by the wheel in making 500 resolutions?
In a house a hall is 20 m long, 15m wide and 5m high. Its interior has to be covered with mat. What will be the total expenditure if it costs Rs. 40 per square m?