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big_math_dataset

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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 640 m?
P, Q and R can do a work in 5 , 7 and 10 days respectively. They completed the work and got Rs.310. What is the share of Q and R respectively?
Two trains travelling in the same direction at 40 and 22 kmph completely pass off another in 1 minute. If the length of the first train is 125 m, what is the length of the second train?
The probability is 1/2 that a certain coin will turn up heads on any given toss. If the coin is to be tossed three times, what is the probability that on at least one of the tosses the coin will turn up tails?
The length of a rectangle is two - fifths of the radius of a circle. The radius of the circle is equal to the side of the square, whose area is 1225 sq.units. What is the area (in sq.units) of the rectangle if the rectangle if the breadth is 10 units?
Jennifer works 20 days a month at d dollars per day for m months out of the year. Which of the following represents her yearly pay?
In how many ways W can the crew of a ten oared boat be arranged ,when of the ten persons available, 2 of whom can row only on the bow side and 3 of whom can row only on the stroke side?
A monkey climbs 30 feet at the beginning of each hour and rests for a while when he slips back 20 feet before he again starts climbing in the beginning of the next hour. If he begins his ascent at 10.00 a.m., at what time will he first touch a flag at 120 feet from the ground?
A swimming pool 9 m wide and 12 m long is 1 m deep on the shallow side and 4 m deep on the deeper side. Its volume is:
In a school 50% of the students are younger than 10, 1/20 are 10 years old and 1/10 are older than 10 but younger than 12, the remaining 70 students are 12 years or older. How many students are 10 years old?
What is the smallest prime number?
If a coin has an equal probability of landing heads up or tails up each time it is flipped , what is the probability that the coin will land heads up exactly twice in 2 consecutive flips ?
What will come in place of the x in the following Number series? 6, 12, 21, 33 , x
Before being simplified, the instructions for computing income tax in country R were to add 4 percent of one's annual income to the average(arithmetic mean) of 100 units of Country R's currency and 1 percent of one's annual income. Which of the following represents the simplified formula for computing the income tax, in country R's currency, for a person in that country whose annual income is I?
A train running at a speed of 36 kmph crosses an electric pole in 12 seconds. In how much time will it cross a 350 m long platform?
A rectangular football field is fenced on all four sides. The length of the football field is twice the length of its breadth. The cost of fencing the field was $360. The football management has decided to change the dimensions of field by increasing the breadth by 50% of its original value and reducing the length by 5% of its original value and fence the field again.. What will be the cost of the new fencing?
Reeya obtained 65, 67, 76, 82 and 85 out of 100 in different subjects, What will be the average
In a lottery, there are 10 prizes and 35 blanks. A lottery is drawn at random. What is the probability of getting a prize?
During a trip on an expressway, Don drove a total of x miles. His average speed on a certain 5-mile section of the expressway was 30 miles per hour, and his average speed for the remainder of the trip was 60 miles per hour. His travel time for the x-mile trip was what percent greater than it would have been if he had traveled at a constant rate of 60 miles per hour for the entire trip?
When positive integer k is divided by 6 the remainder is 3. Which of the following CANNOT be an even integer?
what is the smallest integer that is multiple of 3,5,9
A bag contains 12 white and 18 black balls. 2balls are drawn in succession. What is the probability that first is white and second is black?
f(x) is a function such that f(x) + 3f(8 - x) = x for all real numbers x. Find the value of f(2)
A swimming pool 9 m wide and 12 m long is 1 m deep on the shallow side and 4 m deep on the deeper side. Its volume is?
A little old lady lives in a house with only her children and the children each have pets. She has twice as many sons as daughters. Each son has a dog, and each daughter has a cat. If the total number of pets and children living with her are Y, then how many dogs live in the house, in terms of Y
A bus starts from city X. The number of women in the bus is half of the number of men. In city Y, 20 men leave the bus and ten women enter. Now, number of men and women is equal. In the beginning, how many passengers entered the bus ?
If a no. when divided by 44, gives 432 as quotient and 0 as remainder. What will be the remainder when dividing the same no. by 39
The average height of 35 boys in a class was calculated as 183cm. It has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. Find the actual average height of the boys in the class (Round off your answer to two decimal places).?
If Y < X and XM >YM, what must be true?
The banker's discount on Rs.1650 due a certain time hence is Rs.165. Find the true discount and the banker's gain.
In a recent survey at a local deli, it was observed that 3 out of 5 customers bought a bagel and 5 out of 7 customers bought a coffee. Some customers bought both. If 7 customers are selected, what are the chances that at least 1 customer bought a coffee and a bagel?
A motorcycle importer is planning on increasing the price of a certain model by $1000. At this new price 6 fewer motorcycles will be sold per month, but the total revenues will increase by $26,000 to $594,000. What is the number of motorcycles the manufacturer will sell at this new price?
An article is bought for Rs.695 and sold for Rs.900, find the gain percent?
Aish started a business investing Rs. 25,000 in 2010, In 2011, he invested an additional amount of Rs. 10,000 and Roshan joined him with an amount of Rs. 35,000. In 2012, Aish invested another additional amount of Rs. 10,000 and Atul joined them with an amount of Rs. 35,000. What will be Roshan’s share in the profit of Rs. 1,20,000 earned at the end of 3 years from the start of the business in 2010?
Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.
A,B worker are doing a job. Worker A takes 8 hours to do a job. B takes 10 hours to do a job. How long should it take both A and B, working together to do same job.
A shopkeeper sold an article at $100 with 40% profit. Then find its cost price?
An investment of d dollars at k percent simple annual interest yields $200 over a 2 year period. In terms of d, what dollar amount invested at the same rate will yield $2,400 over a 3 year period?
In a match, awards are given to each of 11 members of the team and a trophy to the team. In all winning team gets 2.75kg weight awards. If the weight of match wining trophy is 1.275kg, what the weight of each player giving weight of trophy ?
10^25 - 760 is divisible by all of the following except:
If N = 16 × 10^(-p) and −4 < p < 4, how many different integer values of p will make N a perfect square?
Two same glasses are respectively 1/4th 1/5th full of milk. They are then filled with water and the contents mixed in a tumbler. The ratio of milk and water in the tumbler is?
In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together?
The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on atleast one ticket is
In a certain code '13' means 'stop smoking' and '59' means 'injurious habit'. What is the meaning of '9' and '5' respectively in that code ? I. '157' means 'stop bad habit'. II. '839' means 'smoking is injurious'.
How many numbers between 100 and 672 are divisible by 2, 3, and 7 together?
Two trains of length 120 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet?
From the word 'JAMIE', how many independent words can be made with-out changing the order of the letters and using each letter only once ?
15 51 216 1100 ? 46452
The total number of even prime number is
Irin, Ingrid and Nell bake chocolate chip cookies in the ratio of 9.18: 5.17: 2.05. If altogether they baked a batch of 148 cookies, what percent of the cookies did Irin bake?
What will be the compound interest on a sum of Rs. 24,500 after 3 years at the rate of 12% p.a.?
In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?
The G.C.D. of 1.08, 0.36 and 0.15 is?
If a population of women in a town is 30% of men . What is the population of men as a % of population of women ?
Which of the following is equal to 10^-(-3)^1?
There are 12 red balls, 10 blue balls, 14 green balls and 9 black balls in a bag. What is the minimum number of balls to be taken out of the bag to assure that you have all the balls of one color?
A work can be completed by 12 boys in 24 days and 12 girls in 12 days. In how many days would the 6 boys and 6 girls working together complete the work?
Find the greatest number of five digits to which if 7143 is added, the final number becomes exactly divisible by 18, 24, 30, 32 and 36.
In the xy-coordinate system, what is the slope of the line that goes through the point (4, 4) and is equidistant from the two points P = (0, 2) and Q = (12, 8)?
10 positive integers are arranged in ascending order. The range of first seven is 25 and last 7 is 30. What will be the difference in minimum range of the set in following 2 cases 1) when 10 integers are distinct. 2) when the integers can be repeated in the set?
A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is?
John began driving from home on a trip averaging 30 miles per hour. How many miles per hour must Carla drive on average to catch up to him in exactly 3 hours if she leaves 30 minutes after John?
A box contains 6 white, 5 red and 8 white marbles. 5 marbles are drawn from the box at random. What is the probability that both the marbles are of the same color?
The cost price of 11 articles is equal to the selling price of 10 articles. What is the profit percent?
A restaurant sells salmon pizzas for $13 each and pepperoni pizzas for $9 each. On every salmon pizza the restaurant makes a profit of $3 while on every pepperoni pizza it makes a profit of $1. If on a given day the restaurant's sales amounted to $468, which of the following cannot be the profit made on that day?
Percentage of profit earned by selling a book for $3360 is equal to the percentage loss incurred by selling the same book for $2640. What price should the book be sold to make 20% profit?
Sarah's seafood restaurant gets a delivery of fresh seafood every day, 5 days per week, and her delivery company charges herddollars per delivery plusccents per item delivered. If lst week Sarah's seafood restaurant had an average ofxitems per day delivered, then which of the following is the total cost, in dollars, of last week's deliveries ?
At a certain resort, each of the 39 food service employees is trained to work in a minimum of 1 restaurant and a maximum of 3 restaurants. The 3 restaurants are the family buffet, the dining room, and the snack bar. Exactly 21 employees are trained to work in the family buffet, 18 are trained to work in the dining room, and 12 are trained to work in the snack bar. If 4 employees are trained to work in exactly 2 restaurants, how many employees are trained to work in all 3 restaurants?
A sum of Rs. 2665 is lent into two parts so that the interest on the first part for 8 years at 3% per annum may be equal to the interest on the second part for 3 years at 5% per annum. Find the second sum?
Firm A's revenues are described by the equation Ra = 17.12x and its costs by Ca = 12.87x + 2200. Firm B's revenues are described by the equation Rb = 13.27x and its costs by Cb = 8.77x + 1500. (x denotes the quantity of sales). If A's volume of sales increases from 1000 to 2000 over the same period that B's volume increases from 2000 to 3000, the percent increase in profits for the firm with the biggest dollar increase in profits is
If the selling price is doubled,the profit is tripled,what is the percentage of profit??
What is the greatest prime factor of 4^17 - 2^26?
Calculate the average of first 9 even numbers is?
There are 7 fictions and 6 non-fictions. How many cases are there such that 2 fictions and 2 non-fictions are selected from them?
Find the average of all the numbers between 6 and 34 which are divisible by 7.
The radius of a wheel is 20.4 cm. What is the distance covered by the wheel in making 400 resolutions?
If 5a = 6b and ab ≠0, what is the ratio of a/6 to b/5?
In what time will a train 140 m long cross an electric pole, it its speed be 190 km/hr?
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 G of their ages will be 51, how old is Stephanie ?
In order to fulfill a local school’s request for x cakes, y parents agreed to each bake an equal number of cakes. If z of the parents did not bake any cakes, which of the following represents the additional number of cakes that each of the other parents had to bake in order for the school’s request for x cakes to be fulfilled?
Simplify: 200 x 200 - 150 x 150
Walking 7/6 of his usual rate, a boy reaches his school 4 min early. Find his usual time to reach the school?
You need to unlock a secret code using following clues, Can you? Here you have the clues: Clue-1 : 0 7 9 (One of the numbers is correct and is placed in its correct position) Clue-2 : 0 3 2 (Nothing is correct) Clue-3 : 1 0 8 (Two numbers are correct but not placed at its correct position.) Clue-4 : 9 2 6 (One number is correct but not placed at its correct position.) Clue-5 : 6 7 8 (One number is correct but not placed at its correct position.)
On a map, 1 inch represents 28 miles. How many V inches would be necessary to represent a distance of 383.6 miles?
In a particular state, 60% of the counties received some rain on Monday, and 55% of the counties received some rain on Tuesday. No rain fell either day in 25% of the counties in the state. What percent of the counties received some rain on Monday and Tuesday?
A Washing machine is available for $39000 cash or $17000 as down payment followed by five equal monthly instalments of $4800 each. The simple rate of interest per annum under the instalment plan would be
Certain stocks in January were 30% greater than they were in February and 20% lesser than they were in March. What was the percentage decrease in the stocks from February to March?
A solid yellow stripe is to be painted in the middle of a certain highway. If 1 gallon of paint covers an area of e square feet of highway, how many gallons of paint will be needed to paint a stripe of t inches wide on a stretch of highway m miles long? (1 mile = 5,280 feet and 1 foot = 12 inches)
In a certain book club, the members are voting between two books – a mystery novel and a biography – to decide which book the group will read next. There are 4 times as many votes for the mystery novel as there are votes for the biography. The ratio of biography votes to the total number of votes is
A student committee that must consists of 3 members is to be formed from a pool of 8 candidates. How many different committees are possible
A cement block balances evenly on the scales with 3 quarters of a pound and 3 quarters of a block. What is the weight of the whole block?
How many different sets of positive square integers P, each greater than 1, add up to 75?
Of the three-digit integers greater than 800, how many have two digits that are equal to each other and the remaining digit different from the other two?
HCF and LCM two numbers are 12 and 396 respectively. If one of the numbers is 24, then the other number is?
If a man walks at a rate of 10kmph, he misses a train by 14minutes. However, if he walks at the rate of 12kmph, he reaches the station 10minutes before the arrival of the train. Find the distance covered by him to reach the station.
Today is Saturday. The day after 59 days will be
In a class of 10 students, the teacher writes a number on the board. The first student tells that number is divisible by 1, the second student tells that the number is divisible by 2, the third by 3, the forth by 4 and so on till 10. If the statement of one of the students is wrong then what is the least number possible.
A box contains 3 blue marbles, 3 red, 6 green marbles and 2 yellow marbles. If three marbles are picked at random, what is the probability that they are all blue?
A shopkeeper purchased 90 kg of potatoes for Rs. 540 and sold the whole lot at the rate of Rs. 8 per kg. What will be his gain percent?