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big_math_dataset

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A certain taxi company charges $2.10 for the first 1/5 of a mile plus $0.40 for each additional 1/5 of a mile. What would this company charge for a taxi ride that was 8 miles long?
P and Q together can complete a piece of work in 4 days. If P alone can complete the same work in 20 days, in how many days can Q alone complete that work?
The cost price of a radio is Rs.1500 and it was sold for Rs.1275, find the loss %?
A circular swimming pool is surrounded by a concrete wall 4 feet wide.if the area of the wall is 11/25 of the area of the pool, then the radius of the pool in feet is?
In a corporation, 50 percent of the male employees and 40 percent of the female employees are at least 35 years old. If 42 percent of all the employees are at least 35 years old, what fraction of the employees in the corporation are females?
The weight of a glass of jar is 30% of the weight of the jar filled with coffee beans. After some of the beans have been removed, the weight of the jar and the remaining beans is 60% of the original total weight. What fraction part of the beans remain in the jar?
How many ways can 840 be written as the product of two numbers ?
A man sells a horse for Rs. 700 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse?
Bookman purchased 40 copies of a new book released recently, 10 of which are hardback and sold for $20 each, and rest are paperback and sold for $10 each. If 14 copies were sold and the total value of the remaining books was 300, how many paperback copies were sold?
A metallic sheet is of rectangular shape with dimensions 20 m x 25 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 2 m, the volume of the box (in m cube) is:
How many integers are there between 15 and 97, inclusive?
A bullock cart has to cover a distance of 80km in 10hrs. If it covers half of the journey in 3/5th time. what should be its speed to cover the remaining distance in the time left.
An empty fuel tank is filled with brand Z gasoline. When the tank is half empty, it is filled with brand x gasoline. When the tank is half empty again, it is filled with brand Z gasoline. When the tank is half empty again, it is filled with brand x gasoline. At this time, what percent of the gasoline in the tank is bra...
By using the numbers 7, 2, 3, 4 and 6 only once, how many five digit numbers can be made that are divisible by 14?
A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 392, what was his profit?
Points A, B, C, and D, in that order, lie on a line. If AB = 2 cm, AC = 4 cm, and BD = 6 cm, what is CD, in centimeters?
The ratio of ages of Aman, Bren, and Charlie are in the ratio 5:8:7 respectively. If 8 years ago, the sum of their ages was 76, what will be the age of Charlie 10 years from now?
If M is the set of all consecutive multiples of 9 between 100 and 500, what is the median of M?
Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?
Anthony and Michael sit on the six-member board of directors for company A. If the board is to be split up into 2 three-person subcommittees, what percent of all the possible subcommittees that include Michael also include Anthony?
A and B together can plough a field in 10 hours but by himself A requires 15 hours. How long would B take to plough the same field?
The product of two numbers is 220 and the sum of their squares is 289. The sum of the number is?
find the average of first 20 multiples of 7?
A certain board game has a row of squares numbered 1 to 100. If a game piece is placed on a random square and then moved 9 consecutive spaces in a random direction, what is the probability the piece ends no more than 9 spaces from the square numbered 49?
The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:
The perimeter of a triangle is 48 cm and the in radius of the triangle is 2.5 cm. What is the area of the triangle?
Of the employees in a company, 40 % are female who have a master degree. If 20 % of the female employees do not have a master degree, what percent of the employees in the company are female?
Two numbers are 30% and 37% are less than a third number .How much percent is the second number less than the first?
A broker invested her own money in the stock market. During the first year, she increased her stock market wealth by 50 percent. In the second year, largely as a result of a slump in the stock market, she suffered a 30 percent decrease in the value of her stock investments. What was the net increase or decrease on her ...
Four consecutive traffic signals each show either red or green. How many different arrangements of the four signals are possible?
If x*y = xy – 2(x + y) for all integers x and y, then 2* (–3) =
Rs.1300 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/3:1/4?
The average expenditure of a labourer for 6 months was 90 and he fell into debt. In the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30. His monthly income i
Solve for x: 2x – y = (3/4)x + 8.
A large field of 900 hectares is divided into two parts. The difference of the areas of the two parts is one-fifth of the average of the two areas. What is the area of the smaller part in hectares?
A company conducted a survey about its two brands, A and B. x percent of respondents liked product A, (x – 20) percent liked product B, 23 percent liked both products, and 23 percent liked neither product. What is the minimum number Q of people surveyed by the company?
If the average of 6 digits is 16 and the average of 4 of them is 10, calculate the average of the remaining 2 numbers?
32% of employees are women with fair hair. 40% of fair-haired employees are women. What percent of employees have fair hair?
On the xy-coordinate plane, point A lies on the y-axis and point B lies on the x-axis. Points A, B, and C form a right triangle with a 90-degree angle at point C and the triangle has an area of 20. If AC is parallel to the x-axis, and BC is parallel to the y-axis, which of the following could be the coordinates of poin...
A bonus of Rs.2800 is to be divided among 3 people such that Alex gets twice as much as David, who receives one-fourth as much as Peter. What amount did Peter get?
The average of four consecutive even numbers is 27. Find the largest of these numbers.
A can complete a work in 18days and B can do the same work in 10days. If A after doing 3days, leaves the work, find in how many days B will do the remaining work?
If x2 - y2 = -12 and x + y = 6, find x and y.
If n is the smallest integer such that 108 times n is the square of an integer, what is the value of n?
A bag contains 6 black and 5 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
If p and r are integers, and p^2 = 20r, then r must be divisible by which of the following?
Find the value of x from this equation? 7(x - 1) = 21
The difference between the weights of two girls is 10 kgs. Five years ago, the heavier one was twice as heavy as the lighter one. The present age of the heavier person is
If 25 men do a work in 96 days, in how many days will 40 men do it?
Four different children have jelly beans: Aaron has 7, Bianca has 7, Callie has 8, and Dante has 11. How many jelly beans must Dante give to Aaron to ensure that no child has more than 1 fewer jelly beans than any other child?
The ratio between the number of sheep and the number of horses at the Stewar farm is 3 to 7. If each of horse is fed 230 ounces of horse food per day and the farm needs a total 12880 ounces of horse food per day. what is number sheep in the form??
On average, the bottle-nosed dolphin comes up for air once every two minutes; the beluga whale, a close relative, comes up for air on average once every five minutes. The number of times a bottle-nosed dolphin would come up for air in a 24 hour period is approximately what percent greater than the number of times a bel...
Set A consists of all the prime numbers between 12 and 32. What is the range of set A?
12.5 * 3.2 * 6.8 = ?
By how much is three-fifth of 250 greater than four- seventh of 210 ?
Rs. 1300 is divided into three parts A, B and C. How much A is more than C if their ratio is 1/2:1/3:1/4?
One robot builds a robot in 1 hour, another one builds a robot in 2 hours. The 2 robots work together and when a new robot is complete, it joins the others, working at a constant rate of one robot in 2 hours. How much time will it take until there are 3 robots altogether, if the robots build only one robot at a time?
In a mayoral election, Candidate X received 1/3 more votes than candidate Y, and Candidate Y received 1/7 fewer votes than Z. If Z received 21,000 votes how many votes did candidate X received?
There are n cities. What is the number of airlines that connected 4 different cities (airline from city A to city B is different with airline from city B to city A)?
3x^2-6x+3 = 0 Find the above equation find the value of x
A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 36 years now, the son's age five years back was:
If 6 (A's capital) = 8 (B's capital) = 10 (C's capital). Then the ratio of their capitals is?
25 * 25* 25 * 25 * 25 = 5^ ?
Three numbers A,B,Care in ratio 1:2:3. Their average is 600. If A is increased by 10% and B is increased by 20%, then to get the average increased by 5%, C will increased by:
Look at this series: 83, 73, 93, 63, __, 93, 43, ... What number should fill the blank?
A boy has eight trousers and 12 shirts. In how many different ways can he select a trouser and a shirt?
How many numbers from 10 to 31 are exactly divisible by 3?
Kim purchased n items from a catalog for $5 each. Postage and handling charges consisted of $3 for the first item and $1 for each additional item. Which of the following gives the total dollar amount for Kim’s purchase, including postage and handling, in terms of n ?
A bag contains 9 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is
A certain office supply store stocks 2 sizes of self-stick notepads, each in 3 colors: Blue, Green, Yellow Or Pink. The store packs the notepads in packages that contain either 3 notepads of the same size and the same color or 3 notepads of the same size and of 3 different colors. If the order in which the colors are p...
What amount does Kiran get if he invests Rs.8000 at 10% p.a. compound interest for two years, compounding done annually?
A reduction of 48% in the price of bananas would enable a man to obtain 64 more for Rs.40, what is reduced price per dozen?
5.005/2.002 =
A merchant marks his goods up by 30% and then offers a discount of 20% on the marked price. What % profit does the merchant make after the discount?
The average of three consecutive odd numbers is 14 more than one-third of the first of these numbers, what is the last of these numbers?
Mr. Bhaskar is on tour and he has Rs. 360 for his expenses. If he exceeds his tour by 4 days, he must cut down his daily expenses by Rs. 3. for how many days is Mr. Bhaskar on tour?
A bag contains eight white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?
If all 6 are replaced by 9,the algebric sum of all numbers from 1 to 100 (both inclusive)varies by,
A small family consisting of 4 ( father , mother , son , daughter ) goes to a photo studio . Father says to the photographer , " I need all the possible photographs of our family " . how many pictures can he take , such that at least one person should be there in the photo
A started a business with Rs.21,000 and is joined afterwards by B with Rs.36,000. After how many months did B join if the profits at the end of the year are divided equally?
When a=3+(2/3) and b=3-(2/3), (2^a^2)/(2^b^2)=?
On a sum of money, the S.I. for 2 years is Rs. 660, while the C.I. is Rs. 696.30, the rate of interest being the same in both the cases. The rate of interest is?
If A,B,C,D,E,F,G,H,I,J are in an increasing Arithmetic Progression as such. Then Which of the following operations will result in either mean or the median being modified. A) A is removed B) A and J are removed C) B and I are removed D) A,B,C,H,I,J are removed E) A and E are removed
It takes David 30 minutes to walk to the car park and 60 to drive to work. At what time should he get out of the house in order to get to work at 9:00 a.m.?
The population of a town increases 25% and 30% respectively in two consecutive years. After the growth the present population of the town is 1950. Then what is the population of the town 2 years ago?
If you cut a 16ft piece of wood into two pieces making one piece 4ft longer than the other. What size is the smaller piece?
From an island, it is possible to reach the mainland by either Ferry P or Ferry Q. Ferry P travels for 3 hours at 8 kilometers per hour, while Ferry Q takes a route that is two times longer. If Ferry P is slower than Ferry Q by 4 kilometers per hour, how many hours longer is the journey of Ferry Q compared with the jou...
Harry started a 4-mile hike with a full 10-cup canteen of water and finished the hike in 2 hours with 2 cup of water remaining in the canteen. If the canteen leaked at the rate of 1 cup per hour and Harry drank 3 cups of water during the last mile, how many cups did he drink per mile during the first 3 miles of the hik...
Difference between the length &breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is?? We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103?
It takes 6 beavers 10 hours to build a certain dam, working at a uniform rate. If six beavers start to build the same dam at noon, and one beaver per hour is added beginning at 5:00 PM, at what time will the dam be complete?
If q and y are integers and (15^q + 15^(q+1))/4^y = 15^y what is the value of q?
The daytime telephone rate between two cities is 70 cents for the first 3 minutes and c cents for each additional minute. The total charge is reduced 60 percent on calls made after 10:00 P.M. The cost, in dollars, of a 35-minute call made at 10:30 P.M. between these two cities is:
Lamp A flashes every 6 seconds, Lamp B flashes every 8 seconds, Lamp C flashes every 10 seconds. At a certain instant of time all three lamps flash simultaneously. During the period of 4 minutes after that how many times will exactly two lamps flash? (Please include any flash of exactly two lights which occurs at the 4...
Average expenditure of a person for the first 3 days of a week is Rs. 360 and for the next 4 days is Rs. 420. Average expenditure of the man for the whole week is:
Analyze the number square carefully and find out what number fits in place of question mark. 1 3 5 2 4 6 7 2 ?
A no.when divided by 225 gives a remainder 43, what remainder will beobtained by dividingthe same no.17?
In how many ways can the letters of the word SITO be arranged in a row so that the vowels appear in alphabetic order?
Using all the letters of the word "FORMED", how many words can be formed, which begin with F and end with D?
The speed of a boat in still water in 22 km/hr and the rate of current is 4 km/hr. The distance travelled downstream in 24 minutes is:
Steve traveled the first 2 hours of his journey at 50 mph and the remaining 3 hours of his journey at 80 mph. What is his average speed for the entire journey?