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big_math_dataset

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Sandy walked 25 meters towards south. Then Sandy turned to her left and walked 20 meters. She then turned to her left and walked 25 meters. She then turned to her right and walked 12 meters. What distance is she from the starting point and in which direction?
If 20% of a number, then 120% of that number will be?
Felix earned 80% more per month than Oscar. If Felix’s salary is decreased 10% and Oscar’s salary is increased by 10%, then Felix would be earning what percent more than Oscar?
In a game of chess, the moves of whites and blacks alternate with whites having the first move. During a certain chess tournament whites have made 2319 moves altogether while blacks have made 2315 moves. If in any game the side that made the last move did not lose, which of the following can be true about the tournamen...
How many positive integers less than 50 have a reminder 5 when divided by 7?
The cost of 3 kg of sugar is $30. What will the cost of 8 kg of sugar be?
In the coordinate plane, points (x, 2) and (8, y) are on line k. If line k passes through the origin and has slope 1/2, then x + y =
The ratio 6 : 5 expressed as a percent equals
If an article is sold at 19% profit instead of 12% profit, then the profit would be Rs. 105 more. What is the cost price?
How much more would Rs.20000 fetch, after two years, if it is put at 20% p.a. compound interest payable half yearly than if is put at 20% p.a. compound interest payable yearly?
Last year a certain bond yielded 8 percent of its face value in interest. If that interest was approximately 4 percent of the bonds selling price of $7,500, what is the bonds face value?
The width of a rectangular hall is ½ of its length. If the area of the hall is 128 sq.m, what is the difference between its length and breadth?
find out the probability to get 1Rs coin head, 2Rs coin Tail and 5Rs coin head??
At Didymus Corporation, there are just two classes of employees: silver and gold. The average salary of gold employees is $48,000 higher than that of silver employees. If there are 120 silver employees and 160 gold employees, then the average salary for the company is how much higher than the average salary for the sil...
The average weight of 4 person's increases by 8.5 kg when a new person comes in place of one of them weighing 95 kg. What might be the weight of the new person?
Tough and Tricky questions: Word Problems. In a rare coin collection, one in six coins is gold, and all coins are either gold or silver. If 10 silver coins were to be subsequently traded for an additional 10 gold coins, the ratio of gold coins to silver coins would be 1 to 5. Based on this information, how many gold co...
A rectangular-shaped carpet that measures x feet by y feet is priced at $48. What is the cost of the carpet, in dollars per square yard? (1 square yard = 9 square feet)
A train passes a train standing in platform in 30 sec and a man standing on the platform in 12 sec. If the speed of the train is 36 km/hr. What is the length of the platform?
Three number are in the ratio 5:6:7. The sum of its largest and smallest numbers equals the sum of the third number and 48. Find the third number?
a man owns 2/3 of the market research beauro business and sells 3/4 of his shares for Rs.75000. what is the value of business ?
Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is:
Find the largest 4 digit number which isexactly divisible by 88?
The average of temperatures at noontime from Monday to Friday is 55; the lowest one is 45, what is the possible maximum range of the temperatures?
How many such letter-pairs are there in the word SMUGGLER having same no.of letters left between them as they have in the series?
A boat can move upstream at 20 kmph and downstream at 35 kmph, then the speed of the current is?
The profit earned by selling an article for 912 is equal to the loss incurred when the same article is sold for 448. What should be the sale price of the article for making 50 per cent profit?
The ages of Krish and Vaibhav are in the proportion of 3 : 5. After 9 years, the proportion of their ages will be 3 : 4. Then the current age of Vaibhav is:
In order to obtain an income of Rs. 650 from 10% stock at Rs. 96, one must make an investment of
The cost price of an article is 64% of the marked price. Calculate the gain percent after allowing a discount of 12%?
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?
Out of 7 constants and 4 vowels how many words of 3 consonants and 2 vowels can be formed?
If a(a -1) = 20 and b(b - 1) = 20, where a ≠ b, then a + b =
If M is the mean of x,y,z ; then what is the mean of 3x,3y and 3z
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 5 customers are selected, what are the chances that at least 1 customer bought a coffee and a bagel?
The probability that A speaks truth is 4/5 and that of B speaking truth is 4/7. What is the probability that they agree in stating the same fact?
Susan made a block with small cubes of 5 cubic cm volume to make a block 7 small cubes long, 7 small cubes wide and 6 small cubes deep. She realise that she has used more small cubes than she really needed. She realised that she could have glued a fewer number of cubes together ot look like a block with same dimensions...
When height of a tree is equal to the length of its shadow, what is the angle of elevation of the sun?
Sebastian bought a meal at a restaurant and left a 15% tip. With the tip, he paid exactly $36.34. How much did the meal cost without the tip?
A, B and C rents a pasture for Rs.870. A put in 12 horses for 8 months, B 16 horses for 9 months and 18 horses for 6 months. How much should B pay?
If a class of 10 students has eight men, how many ways can the men and women be arranged in a circle so that no two men sit next to each other?
If a boat is rowed downstream for 500 km in 5 hours and upstream for 240 km in 6 hours, what is the speed of the boat and the river?
In her backyard, Florry grows only yellow roses and white roses. Some of the rose bushes have flowers of both colors, and some have flowers of one color only. The number of rose bushes that have only yellow roses is 50% greater than the number of rose bushes that have only white roses. If there are yellow roses on 80% ...
If |x – 9/2| = 5/2, and if y is the median of a set of q consecutive integers, where q is odd, which of the following must be true? I. xyq is odd II. xy(q^2 + q) is even III. x^2y^2q^2 is even
A and B put in Rs.300 and Rs.400 respectively into a business. A reinvests into the business his share of the first year's profit of Rs.210 where as B does not. In what ratio should they divide the second year's profit?
The sub-duplicate ratio of 1:9 is
The number x of cars sold each week varies with the price y in dollars according to the equation x = 800,000 – 50y. What would be the total weekly revenue, in dollars, from the sale of cars priced at $ 10,000?
What is the sum of all even numbers from 1 to 501?
A, B and C enter in partnership. A invests some money at the beging, B invests double the amount after 6 months and C invests thrice the amount after 8 months. If the annual profit be Rs 39,000/-, C’s Share is:
A student finds the sum 1 + 2 + 3 + ... as his patience runs out. He found the sum as 575. When the teacher declared the result wrong, the student realized that he missed a number. What was the number the student missed?
5 men are equal to as many women as are equal to 8 boys. All of them earn $90 only. Men’s wages are?
10% people of a village in Sri Lanka died by bombardment, 20% of the remainder left the village on account of fear. If now the population is reduced to 3312, how much was it in the beginning?
Aniket deposited two parts of a sum of 25000 in different banks at the rates of 15% per annum and 18% per annum respectively. In one year he got 4050 as the total interest. What was the amount deposited at the rate of 18% per annum?
Two trains of length 100 m and 200 m are 100 m apart. They start moving towards each other on parallel tracks, at speeds 90 kmph and 108 kmph. In how much time will the trains cross each other?
Convert the following unit: 2.2 hectares in ares
If a 3-number code is formed of the integers from 1 to 17 inclusively, and each of the numbers in the code is different, how many possible codes are there?
A man on tour travels first 160 km at 64 km/he and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is?
Ramesh can finish a work in 20 days and Sushil in 25 days. They both work together for 5 days and then Sushil goes away. In how many days will Ramesh complete the remaining work?
Find 125/14*6
When the stock market opened yesterday, the price of a share of stock X was 10 1/2. When the market closed, the price was 11 1/4. Of the following, which is closest to the percent increase in the price of stock X?
The apartment on King-Williams street is an asset that its value is tramping about. From the year 1973 to 1983 it's value decreased by 16% and from 1983 to 1993 it's value increased by 16%. What is the value of the asset in 1993 if in 1973 it was worth $70,000?
If n is a positive integer and the greatest common divisor of n and 16 is 4, and the greatest common divisor of n and 15 is 3, which of the following is the greatest common divisor of n and 60?
P is 10% more efficient than Q. P can complete a work in 21 days. If P and Q work together, how many days will it take to complete the same work?
A train running at the speed of 126 km/hr crosses a pole in 9 seconds. Find the length of the train.
There are two cars. One is 60 miles north of the other. Simultaneously, the car to the north is driven westward at 15 miles per hour and the other car is driven eastward at 25 miles per hour. How many miles apart are the cars after 2 hours?
X and Y are two towns. Ganesh covers the distance from X to Y at an average speed of 60 Km/hr. However, he covers the distance from Y to X at an average speed of 30 Km/hr. His average speed during the whole journey in km/hr. is :
Free notebooks were distributed equally among children of a class. The number of notebooks each child got was one-eighth of the number of children. Had the number of children been half, each child would have got 16 notebooks. Total how many notebooks were distributed ?
4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?
Henrikh lives x blocks from his office. It takes him 1 minute per block to walk to work and 20 seconds per block to ride his bicycle to work. If it takes him exactly 12 minutes more to walk to work than to ride his bicycle, then x equals
What is the unit digit in {(6374)^1793 x (625)^317 x (341^491)}?
If y exceeds x by 20%, then x is less than y by?
A man invested Rs. 14,400 in Rs. 100 shares of a company at 20% premium.If the company declares 6% dividend at the end of the year,then how much does he get ?
Some of the workers at a hedge fund are analysts; the others are not analysts. There are a total of 2x/3 analysts at the hedge fund. A total of x hedge fund workers have an MBA. Furthermore, x/3 analysts have an MBA, y/4 of the hedge fund workers are neither analysts nor have an MBA, and 90 workers are not analysts. If...
Awordis defined as a sequence of two dots arranged in a row. Each dot is colored any one of the three colours. How many distinct words can be formed?
The probabilities of solving a question by 3students A, B & C are 1/2,1/3 &1/4, respectively. The probability that the problem will be solved is?
In a mayoral election, Candidate X received 1/2 more votes than candidate Y, and Candidate Y received 2/5 fewer votes than Z. If Z received 25,000 votes how many votes did candidate X received?
12.1212+17.0005 - 9.1100 = ?
If the population of a certain country increases at the rate of one person every 20 seconds, by how many persons does the population increase in 1 hour?
Some of 50%-intensity red paint is replaced with 25% solution of red paint such that the new paint intensity is 40%. What fraction of the original paint was replaced?
The average of first 10 odd numbers is?
The number of timeshare condos available at Sunset Beach is 2/5 the number of timeshare condos available at Playa del Mar. If the total number of timeshare condos available at the two beaches combined is 350, what is the difference between the number of condos available at Sunset Beach and the number of condos availabl...
If 'A' means '-', 'B' means '/', 'C' means '+', and 'D' means 'X' then Find the value of the following: 21 B 7 C 9 D 10 A 13
Find the average of all prime numbers between 20 and 30
Ram professes to sell his goods at the cost price but he made use of 700 grms instead of a kg, what is the gain percent? A. 11%
A trader marked the selling price of an article at 60% above the cost price. At the time of selling, he allows certain discount and suffers a loss of 1%. He allowed a discount of :
A bag contains 6 white and 4 black balls .2 balls are drawn at random. find the probability that they are of same colour.
Heinz produces tomato puree by boiling tomato juice. The tomato puree has only 20% water while the tomato juice has 90% water. How many liters of tomato puree will be obtained from 40 litres of tomato juice?
What will the ratio of simple interest earned by certain amount at the same rate of interest for7 years and that for 9 years.
In how many ways can you seat 8 people on a bench if one of them, Rohit, does not want to sit on the middle seat or at either end?
A farmer spent $35 on feed for chickens and goats. He spent 40% money on chicken feed, which he bought at a 40% discount off the full price, and spent the rest on goat feed, which he bought at full price. If the farmer had paid full price for both the chicken feed and the goat feed, what amount would he have spent on t...
A farmer has an apple orchard consisting of Fuji and Gala apple trees. Due to high winds this year 10% of his trees cross pollinated. The number of his trees that are pure Fuji plus the cross-pollinated ones totals 238, while 3/4 of all his trees are pure Fuji. How many of his trees are pure Gala?
If 14 percent of the students at a certain school went to a camping trip and took more than $100, and 75 percent of the students who went to the camping trip did not take more than $100, what percentage of the students at the school went to the camping trip?
In a diving competition, each diver has a 40% chance of a perfect dive. The first perfect dive of the competition, but no subsequent dives, will receive a perfect score. If Janet is the third diver to dive, what is her chance of receiving a perfect score? (Assume that each diver can perform only one dive per turn.)
The average age of 36 students in a group is 15 years. When teacher's age is included to it, the average increases by one. What is the teacher's age in years ?
A fair coin with sides marked heads and tails is to be tossed seven times. What is the probability that the coin will land tails side up more than five times?
In a group of ducks and cows, the total number of legs are 26 more than thrice the number of heads. Find the total number of cows.
49 × 49 × 49 × 49 x 49 = 7?
Ajith can do a work in 12 days while Anand can do the same work in 18days. Both of them finish the work together and get $500. What is the share of Ajith?
The population of a town is 10000. It increases annually at the rate of 20% p.a. What will be its population after 2 years?
A rainstorm increased the amount of water stored in State J reservoirs from 130 billion gallons to 160 billion gallons. If the storm increased the amount of water in the reservoirs to 60 percent of total capacity, approximately how many billion gallons of water were the reservoirs short of total capacity prior to the s...
A farmer has 12 plots of land, arranged in a row. To ensure viability of the soil, the farmer never uses two adjacent plots at the same time. This season, the farmer wishes to plant one plot of each of the following: corn, wheat, soybeans, and rice. Each crop is assigned its own plot of land. How many ways can the farm...