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big_math_dataset

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The ratio of spinsters to cats is 2 to 9. If there are 42 more cats than spinsters, how many spinsters are there?
How many numbers up to 200 are divisible by 2 and 3 both?
In how many a committee of 5 members can be selected from 6 men 5 ladies consisting of 3 men and 2 ladies
A car owner buys petrol at Rs.7.50, Rs. 8 and Rs. 8.50 per litre for three successive years. What approximately is the average cost per litre of petrol if he spends Rs. 4000 each year?
How many two-digit numbers are there whose remainder when divided by 15 is 1, and whose remainder when divided by 6 is 5?
If x and y are positive integers, and x^3*y^4 = 27783, which of the following is the value of xy?
Find out the C.I on Rs.5000 at 4% p.a. compound half-yearly for 1 1/2 years.
A train leaves Mumabai at 9 am at a speed of 40 kmph. After one hour, another train leaves Mumbai in the same direction as that of the first train at a speed of 50 kmph. When and at what distance from Mumbai do the two trains meet?
In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs.2.40 per hour for regular work and Rs.3.20 per hours for overtime. If he earns Rs.432 in 4 weeks, then how many hours does he work for?
A polling company surveyed a certain country, and it found that 35% of that country’s registered voters had an unfavorable impression of both of that state’s major political parties and that 20% had a favorable impression only of Party E. If one registered voter has a favorable impression of both parties for every two registered voters who have a favorable impression only of Party B, then what percentage of the country’s registered voters have a favorable impression of both parties (assuming that respondents to the poll were given a choice between favorable and unfavorable impressions only)?
A company seeks to hire a sales manager, a shipping clerk, and a receptionist. The company has narrowed its candidate search and plans to interview all remaining candidates including 7 persons for the position of sales manager, 4 persons for the position of shipping clerk, and 10 persons for the position of receptionist. How many different hirings of these three people are possible?
Bird is flying 120 km/hr between B to R. Two trains at B to R at 60 kmph. The distance traveled by the bird before it is killed?
If the price of a TV is first decreased by 10% and then increased by 30%, then the net change in the price will be :
At a local supermarket, a box of cereal usually costs 19 dollars. This week, the supermarket sells the box of cereal for 5 dollars. How much money will you save if you buy this cereal at this supermarket?
Rectangular tile each of size 35cm by 30cm must be laid horizontally on a rectangular floor of size 1000cm by 210cm,such that the tiles do not overlap and they are placed with edges jutting against each other on all edges. A tile can be placed in any orientation so long as its edges are parallel to the edges of floor. No tile should overshoot any edge of the floor. The maximum number of tiles that can be accommodated on the floor is:
A sum of money at simple interest amounts to Rs. 1560 in 4 years and to Rs. 1590 in 6 years. The sum is:
Find the odd man out. 1, 3, 9, 12, 19, 29
There are 50 doors marked with numbers 1 to 50. There are 50 individuals marked 1 to 50. An operation on a door is defined as changing the status of the door from open to closed or vice versa. All the doors are closed to start with. One at a time, one randomly chosen individual goes and operates the doors. The individual however operates only those doors which are a multiple of the number he/she is carrying. For example, the individual marked with number 5 operates the doors marked with 5, 10, 15, 20, 25, 30, 35, 40, 45, and 50. If every individual in the group gets one turn, then how many doors are open at the end?
There is a 30% chance that Cara will visit Egypt this year, while there is a 60% chance that she will visit India this year. What is the probability that Cara will visit either Egypt or India this year, but NOT both?
Of the total amount that Jill spent on a shopping trip, excluding taxes, she spent 20 percent on clothing, 50 percent on food, and 30 percent on other items. If Jill paid a 10 percent tax on the clothing, 15 percent tax on the food, and no tax on all other items, then the total tax that she paid was what percent of the total amount that she spent, excluding taxes?
The positive numbers w, x, y, and z are such that x is 10 percent greater than y, y is 20 percent greater than z, and w is 20 percent less than x. What percent greater than z is w ?
The sides of a triangle are in the ratio 5: 12: 13 and its perimeter is 300 m, its area is?
In right triangle ABC, AC is the hypotenuse. If AC is 50 and AB + BC = 70, what is the area of the triangle ABC?
Find the probability that a leap year selected at random will not have 53 Sundays or Mondays.
There are 5 couples. If they will sit 10 chairs in a row such that each couple sits side by side, how many possible cases are there?
How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8.5 m x 6 m x 22.5 cm?
Positive integer x is 50 percent of 50 percent of positive integer y, and x percent of y equals 100. What is the value of y?
A train passes a station platform in 35 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform?
The average of first four multiples of 4 is :
How many integers from 101 to 900, inclusive, remains the value unchanged when the digits were reversed?
Two numbers A and B are such that the sum of 8% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.
Three models (M, N, and O) of cars are distributed among three showrooms. The number of cars in each showrooms must be equal and each model must be represented by at least one car in every showroom. There are 19 cars of Model M, 17 cars of Model N, and 15 cars of Model O. What is the maximum number of cars of model M in any showroom ?
If x is an integer and (x)(x^2)(x^3) is positive, which of the following could be negative?
A bat is bought for Rs.420 and sold at a gain of 20% find its selling price
The diagonals of a rhombus are 14 cm and 20 cm. Find its area?
A certain class of students is being divided into teams. The class can either be divided into 15 teams with an equal number of players on each team or 24 teams with an equal number of players on each team. What is the lowest possible number of students in the class?
The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 15,6400, Deepak's share is:?
Which of the following numbers has neither 3 or 5 as a distinct prime factor?
The salary of a typist was at first raised by 10% and then the same was reduced by 5%. If he presently draws Rs.2090.What was his original salary?
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?
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?
By walking at 3/4th of his usual speed, a man reaches office 5 minutes later than usual. What is his usual time?
A hostel had provisions for 250 men for 44 days. If 50 men left the hostel, how long will the food last at the same rate?
I live X floors above the ground floor of a high-rise building. It takes me 30 s per floor to walk down the steps and 2 s per floor to ride the lift. What is X, if the time taken to walk down the steps to the ground floor is the same as to wait for the lift for 7 min and then ride down?
Tough and Tricky questions: Remainders. 1^1 + 2^2 + 3^3 + ... + 7^7 is divided by 7. What is the remainder?
What is the next number: 2, 17, 257, __
Square X is inscribed in circle Y. If the perimeter of X is 64, what is the circumference of Y?
The sum of three integers A, B and C is 300. A is one third of the sum of B and C and B is one fifth of the sum of A and C. What is C?
For every $20 that a billionaire spends, a millionaire spends the equivalent of 20 cents. For every $8 that a millionaire spends, a yuppie spends the equivalent of $1. The ratio of money spent by a yuppie, millionaire, and billionaire can be expressed as
Two mixtures of X and Y have X and Y in the ratio 3:2 and 3:4. In what proportion should these two mixtures be mixed to get a new mixture in which the ration of X to Y is 5:4?
In assembling a Bluetooth device, a factory uses one of two kinds of modules. One module costs $10 and the other one, that is cheaper, costs $2.5. The factory holds a $62.50 worth stock of 22 modules. How many of the modules in the stock are of the cheaper kind?
A train travelled from station P to Q in 8 hours and came back from station Q to P is 6 hours. What would be the ratio of the speed of the train while traveling from station P to Q to that from station Q to P?
A series S1 of five positive integers is such that the third term is half the first term and the fifth term is 20 more than the first term. In series S2, the nth term defined as the difference between the (n+1) term and the nth term of series S1, is an arithmetic progression with a common difference of 30. First term of S1 is
How many sides does the polygon have if the total angles measures up to 900 degrees?
Average weight of 15 boys in a class is 48 kgs. The average weight of the class of 25 students is 45 kgs. What is the average weight of the 15 girls in the class?
A train having a length of 240 m passes a post in 24 seconds. How long will it take to pass a platform having a length of 670 m?
A train passes a man standing on the platform. If the train is 245 meters long and its speed is 126 kmph, how much time it took in doing so?
3+333+333+3.33=?
The age of man is three times the sum of the ages of his two sons.Nine years hence,his age will be double of the sum of the ages of his sons.The father’s present age is :
If a radio is purchased for Rs 490 and sold for Rs 465.50 Find the loss%?
A batsman in his 17th innings makes a score of 85 and their by increasing his average by 3. What is his average after the 17th innings?
if page of chemistry book is 30 more than page of physics book.if ratio of pages is 5:3.a child torn 15 pages of chemistry book.calculate new ratio.
Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is?
In the equation 2x – cy = 18, c is a constant. If the value of y is 2 when x is 6, what is the value of x when y is 4 ?
0.0203 x 2.92/0.0073 x 14.5 x 0.7 = ?
If two sides of a triangle have lengths 3 and 8, which of the following could be the perimeter of the triangle? I. 9 II. 15 III. 19
A boy wants to go abroad by boat and return by flight. He has a choice of 4 different boat to go and 5 flight to return. In how many ways, can the boy perform his journey?
A is the average (arithmetic mean) of the first 7 positive multiples of 5 and B is the median of the first 3 positive multiples of positive integer n. If the value of A^2 – B^2 is zero, what is the value of n?
A school give scholarship of a total of $940,000 to students, the scholarship consist of 3 types $95,000, $35,000, and $10,000. What is the smallest possible number of students who take the scholarship?
How much pure alcohol should be added to 400ml of a 15% solution to make the strength of solution 25%?
At garage sale, all of the prices of the items sold were different. If the price of a radio sold at the garage sale was both the 9th highest price and the 35th lowest price among the prices of the items sold, how many items were sold at the garage sale?
Find the one which does not belong to that group ?
If log 32 x= 0.8, then x is equal to
When running a mile during a recent track meet, Nuria was initially credited with a final time of 5 minutes, 42 seconds. Shortly after her run, officials realized that the timing mechanism malfunctioned. The stopwatch did not begin timing her until 11/25 of a minute after she began to run. If the time was otherwise correct, how long did it actually take Nuria to run the mile?
The average score in an examination of 10 students of a class is 50. If the scores of the top five students are not considered, the average score of the remaining students falls by 5. The pass mark was 40 and the maximum mark was 100. It is also known that none of the students failed. If each of the top five scorers had distinct integral scores, the maximum possible score of the topper is
When a plot is sold for Rs. 18,700, the owner loses 15%. At what price must that plot be sold in order to gain 15%?
If x is an odd negative integer and y is an even integer, which of the following statements must be true? I. (4x - 2y) is odd II. xy^2 is an even negative integer III. (y^2 - x) is an odd negative integer
wo trains of equal length , running in opposite directions , pass a pole in 18 and 12 seconds. The trains will cross each other in
A train 165 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?
Coach John has to form a team of 4 players to be selected from a pool of 6 players: Alan, Ben, Charles, Danny, Edward and Frank. John does not want Ben on the team but definitely wants Edward. Also, John does not want Alan and Charles on the same team. If John makes a random selection of 4 players, what is the probability that he will have a team that fulfills his criteria?
In a fort, there are 1200 soldiers. If each soldier consumes 3 kg per day, the provisions available in the fort will last for 30 days. If some more soldiers join, the provisions available will last for 25 days given each soldier consumes 2.5 kg per day. Find the number of soldiers joining the fort in that case.
Rs.2080 is divided so that 3 times the first share, thrice the 2nd share and four times the third share amount to the same. What is the value of the second share?
Two trains each 250 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 20 kmph respectively. In what time will they cross each other completely?
What is 0.01 percent of 12,356?
The age of a person is thrice the total ages of his 2 daughters. 0.5 decades hence, his age will be twice of the total ages of his daughters. Then what is the father’s current age? [0.5 Decades = 5 Years]
In a class,30 students pass in english and 20 students in maths,while some students among these pass in both.how many students do only english as compared to those doing only maths?
In Orange County one tenth of the people are gathering mushrooms and one seventh of the people are collecting apples. What can be the number of people in Orange County?
A recipe contains 100g of sugar and milk, a quarter of sugar in butter. If it contains more milk 45g butter it contains sugar?
What is the radius of a circle that has a circumference of 3.14 meters?
A train is running at a speed of 40 km/hr and it crosses a post in 17.1 seconds. What is the length of the train?
Buses A and B start from a common bus stop X. Bus A begins to travel in a straight line away from bus B at a constant rate of 30 miles per hour. One hour later, bus B begins to travel in a straight line in the exact opposite direction at a constant rate of 50 miles per hour. If both buses travel indefinitely, what is the positive difference, in minutes, between the amount of time it takes bus B to cover the exact distance that bus A has covered and the amount of time it takes bus B to cover twice the distance that bus A has covered?
There are 10 students named alphabetically from A to J. What is the Probability that A and D do not sit together if all 10 sit around a circular table?
A car covers a distance of 660 km in 6 hours. Find its speed?
If José reads at a constant rate of 5 pages every 5 minutes, how many seconds will it take him to read N pages?
Calculate the percentage gain if a trader bought a bicycle for Rs 950 and sold it for Rs.1500?
Find the cube root of 804357?
10 men can complete a piece of work in 15 days and 15 women can complete the same work in 12 days. If all the 10 men and 15 women work together, in how many days will the work get completed?
If the day before yesterday was Thursday, when will Sunday be?
There are two batches A and B of a class. Batch A consists of 36 students and batch B consists of 44 students. Find the average weight of whole class, if average weight of batch A is 40 kg and that of batch B is 35 kg.