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big_math_dataset

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A, B, C, D and E play a game of cards. A says to B, "If you give me three cards, you will have as many as E has and if I give you three cards, you will have as many as D has." A and B together have 10 cards more than what D and E together have. If B has two cards more than what C has and the total number of cards be 133, how many cards does B have ?
There are r red ball, b blue ball and w white ball in a bag. What is the ratio of the number of blue ball to the total no. of ball in terms of r, b and w.?
What is the total number of X integers between 100 and 200 that are divisible by 3?
Half of the workers in Palabras bookstore have read the latest book by J. Saramago, and 1/6 of the workers have read the latest book by H. Kureishi. The number of workers that have read neither book is one less than the number of the workers that have read the latest Saramago book and have not read the latest Kureishi book. If there are 42 workers in the Palabras bookstore, how many of them have read both books?
In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?
The surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 12 cm each. The radius of the sphere is:
If cost of sugar increases by 52%. How much percent consumption of sugar should be decreased in order to keep expenditure fixed?
Three numbers are in the ratio 1:4:8 and their H.C.F is 3. The numbers are?
Compound interest earned on a sum for the second and the third years are Rs.1200 and Rs.1440 respectively. Find the rate of interest?
In a class of 40 students 26 play football and play 20 long tennis, if 17 play above, many play neither?
Express 20 mps in kmph?
Edward is a trail runner who decides to take a day off work to run up and down a local mountain. He runs uphill at an average speed of 6 miles per hour and returns along the same route at an average speed of 9 miles per hour. Of the following, which is the closest to his average speed, in miles per hour, for the trip up and down the mountain?
The length of a room is 5.5 m and width is 3.75 m. Find the cost of paving the floor by slabs at the rate of Rs. 1400 per sq. metre.
At the time of marriage, a man was 8 years elder to his wife. 15 years after their marriage, his age is 5/4 times the age of his wife. What was wife's age at the time of marriage ? Choose one answer.
It is being given that (2^32 + 1) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number?
List L: ABC, BCA, CAB In list L above, there are 3 positive integers, where each of A, B, and C is a different nonzero digit. Which of the following is the sum of all the positive integers that MUST be factors of the sum of the integers in list L?
If the cost price of 50 articles is equal to the selling price of 46 articles, then the gain or loss percent is?
The ratio between the present age of P and Q is 6 : 7. if Q is 4 years old then P, what will be the ratio of the ages of P and Q after 4 year ?
A die is thrown twice and the sum of the numbers appearing is observed to be 6. find the conditional probability that the number 4 has appeared at least once?
A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 700 m long?
A, B can Complete a work in 15 days &10 days respectively. They started doing thework together after 2 days B had to leave and A alone completed the remaining work.The whole work wascompleted in how many days?
Baseball's World Series matches 2 teams against each other in a best-of-seven series. The first team to win four games wins the series and no subsequent games are played. If you have no special information about either of the teams, what is the probability E that the World Series will consist of fewer than 7 games?
Find the sum of first 30 natural numbers
What should come in place of the question mark(?) in the following equation? 4 1⁄2 × 4 1⁄3 - 8 1⁄3 ÷ 5 2⁄3 = ?
Tina’s cat weighs 3.2 kilograms. Her dog weighs 5 times as much as her cat. How much does her dog weigh in kilograms?
A certain telephone company company charges 3.10 cents for the first 1/5 of a minute plus 0.40 cents for each additional 1/5 of a minute. What would this company charge for a talk time of 8 minutes long?
How many numbers with 3 different digits can be formed using only the even-numbered digit?
A list of measurements in increasing order is 4, 5, 6, 8, 15 and x. If the median of these measurements is 3/4 times their arithmetic mean, what is the value of x?
If a boat goes upstream at 5 km/hr and downstream at 7 km/hr what is the speed of the stream?
4 friends went for a cinema, and everyone decided to contribute equally to the total bill of $60. If one of the friends had a coupon for 8% off the total bill, and if each friend still contributed equally after the coupon was applied to the bill, how much did each friend pay?
A rectangular lawn of dimensions 80 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m?
Distance between two stations A and B is 778 km. A train covers the journey from A to B at 84 km per hour and returns back to A with a uniform speed of 56km per hour. Find the average speed of the train during the whole journey?
A reduction of 40% in the price of bananas would enable a man to obtain 64 more for Rs.40. What is the reduced price/dozen?
A soccer store typically sells replica jerseys at a discount of 30 percent to 50 percent off list price. During the annual summer sale, everything in the store is an additional 20 percent off the original list price. If a replica jersey's list price is $80, approximately what percent of the list price is the lowest possible sale price?
The probability that a man will be alive for 10more yrs is 1/4 & the probability that his wife will alive for 10 more yrs is 1/3. The probability that none of them will be alive for 10 more yrs, is
A, B, C subscribe Rs. 50,000 for a business, A Subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, C receives :
A computer program generates a single digit by a random process, according to which the probability of generating any digit is directly proportional to the reciprocal of one more than that digit. If all digits are possible to generate, then the probability R of generating an odd prime digit is between
P and Q invested in a business. The profit earned was divided in the ratio 2 : 3. If P invested Rs 40000, the amount invested by Q is
The speed of a boat in upstream is 70 kmph and the speed of the boat downstream is 80 kmph. Find the speed of the boat in still water and the speed of the stream?
Square X is inscribed in circle Y. If the perimeter of X is 100, what is the circumference of Y?
A painting is painted on a cardboard 19 cm and 14 cm wide, such that there is a margin of 1.5 cm along each of its sides. Find the total area of the margin.
When processing flower-nectar into honey bees' extract, a considerable amount of water gets reduced. How much flower-nectar must be processed to yield 1kg of honey, if nectar contains 50% water, and the honey obtained from this nectar contains 30% water?
The variables a and b are non-zero integers W. If a = 2b^3/c, what happens to c when a is halved and b is doubled?
A certain psychologist charges $40 more for the first hour of therapy than for each additional hour. If the total charge to a patient who receives 5 hours of therapy is $375, what is the total charge to a patient who receives only 2 hours of therapy ?
20% of employees are women with fair hair. 40% of fair-haired employees are women. What percent of employees have fair hair?
At 11:00 a.m., Tom begins traveling on a certain bike path from Riverdale at a constant rate of 10 mph. If, at 1:00 p.m., Jim begins traveling from Riverdale on the same path at a constant rate of 20 mph, at what time will he catch up to Peter?
Students are in cultural program as follows: music-10, Dance-15, and skits -6. No student is in all three cultural program , but 4 are in both music and Dance, 3 are in both music and skits, and 2 are in Dance and skits. How many different students are in at least one of the three cultural program?
You are distributing vegetable oil. there are 21 bottles in total out of which 7 are full, 7 half empty, 7 empty. the oil has to be distributed among three people. how will you distribute so that each person gets equal number of bottles and the same quantity of oil
Two cars start at the same time from opposite ends of a highway that is 45 miles long. One car is riding at 14 mph and the second car is riding at 16 mph. How long after they begin will they meet?
If 3x=8y=z, what is x+y, in terms of z?
A man walks from B to C, a distance of x miles, at 10 miles per hour and returns at 15 miles per hour. What is his average speed?
When x is divided by y, the quotient is z with remainder t. Which of the following is equal to t?
A list of numbers has six positive integers. Three of those integers are known: 4, 5 and 24 and three of those are unknown: x, y and z. The three unknowns are known to be distinct. It is also known that the mean of the list is 10 and the median lies between 7 and 8 (exclusive). Which of the following CANNOT be the value of any one of the unknowns?
Find the number of ways of arranging the boy and 12 guests at a circular table so that the boy always sits in a particular seat?
A survey was conducted to find out how many people in a housing colony of 144 residents could swim, dance and drive a car. It was found that the number of people who could not swim was 85, the number of people who could not dance was 100 and that the number of people who could not drive a car was 91. If the number of people who could do at least two of these things, was found to be 37 and the number of people who could do all these things was found to be 6, how many people could not do any of these things?
Excluding stoppages, the speed of a train is 54 kmph and including stoppages it is 40 kmph. Of how many minutes does the train stop per hour?
Rajan borrowed Rs.4000 at 5% p.a compound interest. After 2 years, he repaid Rs.2210 and after 2 more year, the balance with interest. What was the total amount that he paid as interest?
In a group of ducks and cows, the total number of legs are 28 more than twice the number of heads. Find the total number of cows.
If i is a positive integer and i^2 is divisible by 12, then the largest positive integer that must divide i ^3 is
What is the 4 digit number in which the 1st digit is 1/3 of the second, the 3rd is the sum of the 1st and 2nd, & the last is three times the second?
A number has exactly 32 factors out of which 4 are not composite. Product of these 4 factors (which are not composite) is 30. How many such numbers D are possible?
Pat, kate and mark charged a total of 180 hours to a certain project . If pat charged twice as much time to the project as kate and 1/3 as much times as mark, how many more hours did mark charge to the project than kate.
A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 600 m long?
A train 210 m in length crosses a telegraph post in 13 seconds. The speed of the train is?
From January 1, 1991, to January 1, 1993, the number of people enrolled in health maintenance organizations increased by 30 percent. The enrollment on January 1, 1993, was 45 million. How many million people, to the nearest million, were enrolled in health maintenance organizations on January 1, 1991 ?
Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 54 kmph and 72 kmph. After how much time will the trains meet?
A sun is divided among X, Y and Z in such a way that for each rupee X gets, Y gets 45 paisa and Z gets 30 paisa. If the share of Y is RS. 36, what is the total amount?
If there are ten positive real numbers n1 < n2 < n3 … < n10, how many triplets of these numbers (n1, n2, n3), (n2, n3, n4) … can be generated such that in each triplet the first number is always less than the second number, and the second number is always less than the third number?
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.150. Find the unknown rate of two blankets?
If a tire rotates at 400 revolutions per minute when the car is traveling 48km/h, what is the circumference of the tire?
Anil and Suresh are working on a special assignment. Anil needs 6 hours to type 32 pages on a computer and Suresh needs 5 hours to type 40 pages. If both of them work together on two different computers, how much time is needed to type an assignment of 110 pages?
When positive integer X is divided by positive integer Y, the remainder is 5.76. If X/Y = 96.12, what is the value of Y?
The sum of 33 consecutive integers is 3333. What is the greatest integer in the set?
Company S produces two kinds of stereos: basic and deluxe. Of the stereos produced by Company S last month, 2/3 were basic and the rest were deluxe. If it takes 1.3 as many hours to produce a deluxe stereo as it does to produce a basic stereo, then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos?
A profit of Rs. 1000 is divided between X and Y in the ratio of 1/2:1/3 . What is the difference between their profit shares ?
A store raised the price of an item by exactly 30 percent. Which of the following could NOT be the resulting price of the item?
A man invested Rs. 14,400 in Rs. 100 shares of a company at 20% premium.If the company declares 8% dividend at the end of the year,then how much does he get ?
Of the following, which is the closest approximation of (50.2*0.49)/199.8 ?
At a dinner party, 5 people are to be seated around a circular table. 2 seating arrangements are considered different only when the positions of the people are different relative to each other. what is the total number T of different possible seating arrangements for the group?
A trader mixes 80 kg of tea at 15 per kg with 20 kg of tea at cost price of 20 per kg. In order to earn a profit of 35%, what should be the sale price of the mixed tea?
A train 125 m long passes a man, running at 8 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?
2 pipes A and B can separately fill a cistern in 10 and 15 mins respectively. A person opens both the pipes together when the cistern should have beenwas full he finds the waste pipe open. He then closes the waste pipe and in another 4mins the cistern was full. In what time can the waste pipe empty the cistern when fill?
An atom's atomic number is determined by the number of:
A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
A, B and C can do a piece of work in 24, 30 and 40 days respectively. They start the work together but C leaves 4 days before the completion of the work. In how many days is the work done?
A wire in the form of a circle of radius 3.5 m is bent in the form of a rectangule, whose length and breadth are in the ratio of 6 : 5. What is the area of the rectangle?
If x > 0.6, which of the following could be the value of x?
Joseph completes work worth $3.25 in hour and his cost to company per hour is $2.85. Ray completes worth worth of $2.80 in an hour and his cost to company is $2.65 per hour. If Joseph works for 55,000 hours, how many must Ray work so that company makes at least as much in total gross profit as in case of Joseph ?
The simple form of the ratio 4/5:8/9 is?
If 0.8 of a number is equal to 0.09 of another number, the ratio of the numbers i
A, B, and C working alone can finish constructing a house in 6, 8, and 12 hours respectively. A starts alone and works for 1 hour. He is then joined by B and they work together for 1 hour. Finally C joins them and they all work together to finish the work. If they start working at 9 am, at what time will they finish?
Machine A working alone can complete a job in 10 hours. Machine A+B working alone can do the same job in 16 hours. How long will it take machine B working at their respective constant rates to complete the job?
When ticket sales began, Pat was the nth customer in line for a ticket, and customers purchased their tickets at the rate of y customers per minute. Of the following, which best approximates the time, in minutes, that Pat had to wait in line from the moment ticket sales began?
If D is the product of all positive integers less than 31, than what is the greatest integer k for which D/18^k is an integer?
What is the sum of the greatest common factor and the lowest common multiple of 45 and 125?
Two concentric circles form a ring. The inner and outer circumference of the ring are 352/7 m and 528/7m respectively.Find the width of the ring.
Length of a rectangular plot is 20 mtr more than its breadth. If the cost of fencin gthe plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr?
The present ages of A,B and C are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. What are their present ages (in years)?
If n is the smallest positive integer for which 2^n is a factor of 10!, then n =?
A company has 540 employees, 40% of whom are employed part time. If it hires 30 new employees, 20% of whom are employed part time, what will be the percent increase in part time employees?