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big_math_dataset

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A and B together can do a work In 2 days. A alone can do it in 12 days. What time B will take to do the work alone?
In the following sequence: [x, y, z, 5, 7, 16, 28] each number is equal to the sum of the three numbers preceding it. What is x-y?
A computer store offers employees a 15% discount off the retail price. If the store purchased a computer from the manufacturer for $500 dollars and marked up the price 15% to the final retail price, how much would an employee save if he purchased the computer at the employee discount (15% off retail price) as opposed t...
A shop owner sells 40mtr of cloth and gains SP of 10 mtrs. Find the gain %?
A man can row with a speed of 15 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is?
Solve the given two equations and find the inequality of X and Y. (a) X^2- 365 = 364 and (b) y- (324) ^(1/2) = (81)^(1/2)
In a group of 28 junior high school students, 5 take French, 10 take Spanish, and 4 take both languages. The students taking both French and Spanish are not counted with the 7 taking French or the 10 taking Spanish. How many students are not taking either French or Spanish?
A can complete a project in 20 days and B can complete the same project in 30 days. If A and B start working on the project together and A quits 15 days before the project is completed, in how many days total will the project be completed?
If each participant of a chess tournament plays exactly one game with each of the remaining participants, then 171 games will be played during the tournament. What is the number of participants?
Henry gives a certain amount to his friend at 12% p.a. simple interest. If he wants to get thrice the amount given how many years does it take?
A good train and a passenger train are running on parallel tracks in the same direction. The driver of the goods train observes that the passenger train coming from behind overtakes and crosses his train completely in 60 sec. Whereas a passenger on the passenger train marks that he crosses the goods train in 40 sec. If...
Tim came second in Math. When his mother asked him how much he had scored, he answered that he got the sum of the first 5 even numbers. His mother immediately worked out the answer. How much had he scored in Math?
In what ratio must water be mixed with milk to gain 16(2/3)% on selling the mixture at cost price?
What will be the difference between simple interest and compound interest @ 10% per annum on a sum of Rs. 1000 after 3 years?
3 candidates in an election and received 1256, 7636 and 11628 votes respectively. What % of the total votes did the winning candidate gotin that election?
What is the smallest number which when increased by 3 is divisible by 9, 70, 25 and 21?
What is the difference between the C.I. on Rs. 4000 for 1 1/2 years at 4% per annum compounded yearly and half-yearly?
Of the five-digit positive integers that have no digits equal to zero, how many have two digits that are equal to each other and the remaining digit different from the other two?
Jim is twice as old as Stephanie, who, four years ago, was three times as old as Kate. If, five years from now, the sum E of their ages will be 51, how old is Stephanie ?
Two years ago, John put $5,000 into a savings account. At the end of the first year, his account had accrued $500 in interest bringing his total balance to $5,500. The next year, his account balance increased by 10%. At the end of the two years, by what percent has John's account balance increased from his initial depo...
if 1 is absent rest of people can be divided into 6 equal parts if 2 is absent rest of them are divided into 7 equal parts ,how many students are present
If the product of 12 integers is negative, at most how many of the integers can be negative?
The simple interest on a sum of money is 4/9 of the principal and the number of years is equal to the rate percent. Find the rate and the time?
The length and breadth of a rectangle is increased by 10% and 25% respectively. What is the increase in the area?
A certain ornaments was marked down 10% the first week and another 30% the next week. What percent of the regular price was the final cost of the ornaments after the two markdowns?
A number x is 4 times another number y. The percentage that y is less than x is
Two trains A and B are 100 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.
What is x if 2x - y = 14 and y = 2?
The number of positive integers valued pairs (x, y) satisfying 4x -17y = 1 and x <= 1000 (x is less than or equal to 1000) is
A trader marks his books 40% more than the cost price. If he allows 40% discount, then find his gain or loss percent?
In the x- y plane, there are 4 points (0,0), (0,4), (8,4), and (8,0). If these 4 points makes a rectangle, what is the probability that x+y<4?
A man can row his boat with the stream at 10 km/h and against the stream in 6 km/h. The man's rate is?
The number of boys in a class is three times the number of girls. Which one of the following numbers cannot represent the total number of children in the class ?
Find the area of a parallelogram with base 24 cm and height 16 cm?
50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4 m3, then the rise in the water level in the tank will be:
Nails and screws are manufactured at a uniform weight per nail and a uniform weight per screw. If the total weight of one screw and one nail is half that of 6 screws and one nail, then the total weight of 3 screws, and 3 nails is how many times that of 1 screws and 5 nails?
A grocery shop has a sale of Rs. 6535, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?
A merchant sells an item at a 20% discount, but still makes a gross profit of 20 percent of the cost. What percent P of the cost would the gross profit on the item have been if it had been sold without the discount?
A florist has 3 azaleas, 4 buttercups, and 5 petunias. The florist puts two flowers together at random in a bouquet. However, the customer calls and says that she does not want two of the same flower. What is the probability that the florist does not have to change the bouquet?
A theater charges $12 for seats in the orchestra and $8 for seats in the balcony. On a certain night, a total of 350 tickets were sold for a total cost of $3,320. How many more tickets were sold that night for seats in the balcony than for seats in the orchestra?
How many odd numbers between 10 and 1500 are the squares of integers?
X men can do a work in 120 days. If there were 20 men less, the work would have taken 60 days more. What is the value of X?
In a certain company, a third of the workers do not have a retirement plan. 20% of the workers who do not have a retirement plan are women, and 50% of the workers who do have a retirement plan are men. If 120 of the workers of that company are men, how many of the workers are women?
John purchased a paints and a buckets for Rs. 14000 &Rs. 9500 respectively. He sold the paints at a loss of 7% and the buckets at a profit of 12%. Overall how much he make a profit.
1=5,2=25,3=253,4=150,5=225 then 150=?
If f(x) = 2x^2 + y, and f(2) = 50, what is the value of f(5)?
when a no. divided by 406 it gives 115 as a remainder. when it divided by 29 what is the remainder.???
An article is bought for Rs.600 and sold for Rs.500, find the loss percent?
A volunteer organization is recruiting new members. In the fall they manage to increase their number by 5%. By the spring however membership falls by 19%. What is the total change in percentage from fall to spring?
If the average (arithmetic mean) of x and y is 40, and z – x = 60, what is the average of y and z?
The product of all the prime numbers less than 28 is closest to which of the following powers of 10?
Bob 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 (compounded annually) for the same 2 years at the same rate of interest and received $600 as interest. What was the annual rate of interest?
How many seconds will a 600 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
The average expenditure of a labourer for 6 months was 85 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
Roja and Pooja start moving in the opposite directions from a pole. They are moving at the speeds of 4 km/hr and 3 km/hr respectively. After 4 hours what will be the distance between them?
The sum of ages of 5 children born 1 year different each is 50 yrs. What is the age of the Elder child?
Of the books standing in a row on a shelf, an atlas is the 30th book from the left and the 33rd book from the right. If 4 books to the left of the atlas and 4 books to the right of the atlas are removed from the shelf, how many books will be left on the shelf?
The length of rectangle is thrice its breadth and its perimeter is 96 m, find the area of the rectangle?
The area of the rectangle ABCD is 30. The points E and F are on the diagonal AC as shown, and 2(AE + FC) = 3 EF. What is the area of △BEF ?
In a shop 30% of the articles are sold at a profit of 40% and the remaining at a loss of 20%.what is the overall profit/loss?
How many different pairs of positive integers (a, b) satisfy the equation 1/a+1/b=30/51 ?
When positive integer x is divided by 10, the quotient is y and the remainder is 3. When 2x is divided by 7, the quotient is 3y and the remainder is 1. What is the value of 11y – x?
A train of length 110 meter is running at a speed of 60 kmph. In what time, it will pass a man who is running at 6 kmph in the direction opposite to that in which the train is going?
Two wheels are connected via a conveyor belt. The larger wheel has a 40cm diameter and the smaller wheel has a 35cm diameter. In order for the conveyor belt to work smoothly, each wheel must rotate the exact same number of centimetres per minute. If the larger wheel makes r revolution per minute, how many revolutions d...
The length of a rectangular floor is more than its breadth by 200%. If Rs. 624 is required to paint the floor at the rate of Rs. 4 per sq m, then what would be the length of the floor?
In a circuit board factory, all circuit boards that pass a verification process are certified. Every board that fails the verification process is indeed faulty, but 1/8 of those that pass are also faulty. Approximately how many faulty circuit boards exist in a group of 800 circuit boards where 32 fail inspection?
A set S = {x, -8, -7, -6, 6, 8, 9, y} with elements arranged in increasing order. If the median and the mean of the set are the same, what is the value of |x|-|y|?
A part of certain sum of money is invested at 6% per annum and the rest at 15% per annum, if the interest earned in each case for the same period is equal, then ratio of the sums invested is?
Look at this series: 1.2, 1.9, 2.6, 3.3, ... What number should come next?
Six friends go to pizza corner there are 2 types of pizzas. And six different flavors are there they have to select 2 flavors from 6 flavors. In how many ways we can select?
Gill drives 120 miles from Los Angeles to San Diego to fetch a package. On her way there she drives at 40 miles per hour. On her way back she drives 50% faster. What is Gill's average velocity R for the round trip?
If goods be purchased for Rs.840 and one-fourth be sold at a loss of 20% at what gain percent should the remainder be sold so as to gain 20% on the whole transaction?
5 OUT OF 2250 PARTS OF EARTH IS SULPHUR. WHAT IS THE PERCENTAGE OF SULPHUR IN EARTH
What is the area of a triangle with the following vertices L(1, 3), M(4, 1), and N(3, 5) ?
Calculate the share of profit made by 2 business partners, who invested $1500 and $3500 respectively in a business if the profit made is $2500.
A towel, when bleached, lost 30% of its length and 20% of its breadth. What is the percentage decrease in area?
Find the perimeter and area of a square of side 11 cm.
Some of 50%-intensity red paint is replaced with 20% solution of red paint such that the new paint intensity is 30%. What fraction of the original paint was replaced?
A and B can do a piece of work in 12 days and 16 days respectively. Both work for 3 days and then A goes away. Find how long will B take to complete the remaining work?
8 kilograms of oranges contained 98% of water. If the next day the concentration of water decreased by 2%, what was the new weight of the oranges, in kilograms?
It takes 7 high school students, working at identical constant individual rates, 10 hours to paint a certain house. At what time will the house be fully painted if 7 students start painting at 9:00 am and one student, working at the same rate, is added per hour starting at 5:00 pm?
8 business executives and 7 chairmen meet at a conference. If each business executive shakes the hand of every other business executive and every chairman once, and each chairman shakes the hand of each of the business executives but not the other chairmen, how many handshakes would take place?
The sum of five consecutive odd numbers of set p is 435. What is the sum of five consecutive numbers of another set q. Whose largest number is 45 more than the largest number of set p?
Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 3 days?
A lent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 1540 in all from both of them as interest. The rate of interest per annum is?
The number of new words that can be formed by rearranging the letters of the word 'COMPUTE' is ?
A started a business with an investment of Rs. 70000 and after 6 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 78000, then the share of B is?
x - y =2 2x = 2y + 4 The system of equations above has how many solutions?
In a ratio which is equal to 7:9, if the antecedent is 42, then the consequent is?
Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet?
A triangle has a perimeter 15. The two shorter sides have integer lengths equal to x and x + 1. Which of the following could be the length of the other side?
A can do a work in 15 days and B in 20 days. If they work on it together for 2 days, then the fraction of the work that is left is :
A committee of three people is to be chosen from five married couples. What is the number of different committees that can be chosen if two people who are married to each other cannot both serve on the committee?
How many 4 digits number contain the number 2.
3 candidates in an election and received 1136, 7636 and 11628 votes respectively. What % of the total votes did the winningcandidate got in that election?
Given positive integer x, which of the following CANNOT be evenly divisible by x?
If an object travels 80 feet in 2 seconds, what is the object’s approximate speed in miles per hour? (Note: 1 mile = 5280 feet)
A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
Consider a quarter of a circle of radius 49. Let r be the radius of the circle inscribed in this quarter of a circle. Find r.
An urn contains 10 balls, numbered from 1 to 10. If 2 balls are selected at random with replacement from the urn, what is the probability G that the sum of the 2 numbers on the balls will be even?