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big_math_dataset

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A train passes a station platform in 36 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?
If 18 is 15 percent of 10 percent of a certain number, what is the number?
How many five-digit numbers are there, if the two leftmost digits are even, the other digits are odd and the digit 4 cannot appear more than once in the number?
There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:
When Leo imported a certain item, he paid a 7 percent import tax on the portion of the total value of the item in excess of $1,000. If the amount of the import tax that Leo paid was $87.50, what was the total value of the item?
A and B start a business jointly. A invests Rs.16000 for 8 months and B remains in the business for 4 months. Out of the total profit B claims 2/6th share. How much money is contributed by B?
Mike took a taxi to the airport and paid $2.50 to start plus $0.25 per mile. Annie took a different route to the airport and paid $2.50 plus $5.00 in bridge toll fees plus $0.25 per mile. If each was charged exactly the same amount, and Annie's ride was 16 miles, how many miles was Mike's ride?
In the xy-coordinate system, if (m,n) and (m+2, n+k) are two points on the line perpendicular to x=2y+5, then k=?
A chair is bought for Rs.600/- and sold at a loss of 10% find its selling price
Meg and Bob are among the 4 participants in a cycling race. If each participant finishes the race and no two participants finish at the same time, in how many different possible orders can the participants finish the race so that Meg finishes ahead of Bob?
After paying a 10 percent tax on all income over $3,000, a person had a net income of $12,000. What was the income before taxes?
In a throw of dice what is the probability of geƫing number greater than 2
In xyz business school,88% are taking their specialization as finance at the same time 76% taking their specialization as marketing.If 90% are taking their specialization as finance then, what is % of marketing specialization students?
The ratio of the volumes of two cubes is 729 : 1000. What is the ratio of their total surface areas?
Out of seven given numbers, the average of the first four numbers is 4 and that of the last four numbers is also 4. If the average of all the seven numbers is 3, fourth number is
Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is:
A shipment of 1500 heads of cabbage, each of which was approximately the same size, was purchased for $600. The day the shipment arrived 2/3 of the heads were sold, each at 25% above the cost per head. The following day the rest were sold at a price equal to 8% less than the price each head sold for on the day before. What was the total gross profit on this shipment.
Find large number from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
Three pounds of 05 grass seed contain 10 percent herbicide. A different type of grass seed, 20, which contains 20 percent herbicide, will be mixed with three pounds of 05 grass seed. How much grass seed of type 20 should be added to the three pounds of 05 grass seed so that the mixture contains 15 percent herbicide?
The average temperature for Wednesday, Thursday and Friday was 40oC. The average for Thursday, Friday and Saturday was 41oC. If temperature on Saturday was 42oC, what was the temperature on Wednesday?
Machine R and machine B are each used to manufacture 660 sprockets. It takes machine R 10 hours longer to produce 660 sprockets than machine B. Machine B produces 10 percent more sprockets per hour than machine R. How many sprockets per hour does machine R produces?
A can finish a work in 24 days, B n 9 days and C in 12 days. B&C start the work but are forced to leave after 3 days. The remaining work done by A in:
The number of boxes in a warehouse can be divided evenly into 7 equal shipments by boat or 28 equal shipments by truck. What is the smallest number of boxes that could be in the warehouse?
The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:
Two pipes A and B can separately fill a cistern in 24 minutes and 48 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 12 minutes. In how much time, the third pipe alone can empty the cistern?
There are 6 people in the elevator. Their average weight is 154 lbs. Another person enters the elevator, and increases the average weight to 151 lbs. What is the weight of the 7th person.
A, Band C can do a piece of work in 11 days, 45 days and 55 days respectively, working alone. How soon can the work be done if A is assisted by Band C on alternate days?
What will come in place of the x in the following Number series? 279936, 46656, 7776, 1296, 216, x
A baseball card decreased in value 40% in its first year and 10% in its second year. What was the total percent decrease of the card's value over the two years?
A student scored an average of 75 marks in 3 subjects: Physics, Chemistry and Mathematics. If the average marks in Physics and Mathematics is 90 and that in Physics and Chemistry is 70, what are the marks in Physics?
The difference between compound and simple interest on a certain sum of money for 3 years at 6 2/3% p.a is Rs.184. Find the sum?
The total price of a basic computer and printer are $2,500. If the same printer had been purchased with an enhanced computer whose price was $500 more than the price of the basic computer, then the price of the printer would have been 1/6 of that total. What was the price of the basic computer?
A number consists of 3 digits whose sum is 10. The middle digit is equal to the sum of the other two and the number will be increased by 99 if its digits are reversed. The number is:
A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is :
There are two numbers. If 55% of the first number is added to the second number, then the second number increases to its five-fourth. Find the ratio of the first number to the second number?
In how many years Rs 100 will produce the same interest at 5% as Rs. 600 produce in 4 years at 10%
A worker's take-home pay last year was the same each month, and she saved the same fraction of her take-home pay each month. The total amount of money that she had saved at the end of the year was 4 times the amount of that portion of her monthly take-home pay that she did NOT save. If all the money that she saved last year was from her take-home pay, what fraction of her take-home pay did she save each month?
How many digits are required to number a book containing 250 pages?
In how many ways can the letters of the word ACTUAL be rearranged such that the vowels always appear together?
If x and y are both prime numbers greater than 10, which of the following CANNOT be true? I. xy is an even number. II. x - y = 117. III.The sum of x and y is even.
There is a total of 84 marbles in a box, each of which is red, green, blue, or white. If one marble is drawn from the box at random, the probability that it will be white is 1/4 and the probability that it will be green is 1/7. What is the probability that the marble will be either red or blue?
A worker makes a toy in every 1h. If he works for 100h, then how many toys will he make ?
A chessboard is an 8×8 array of identically sized squares. Each square has a particular designation, depending on its row and column. An L-shaped card, exactly the size of four squares on the chessboard, is laid on the chessboard as shown, covering exactly four squares. This L-shaped card can be moved around, rotated, and even picked up and turned over to give the mirror-image of an L. In how many different ways can this L-shaped card cover exactly four squares on the chessboard?
A dairyman pays Rs. 6.40 per liter of milk. He adds water and sells the mixture at Rs. 8per liter, thereby making 37.5% profit. The proportion of water to milk received by the customers is
A train speeds past a pole in 15 sec and a platform 150 m long in 25 sec, its length is?
The number 94 can be written as the sum of squares of 3 integers. Which of the following could be the difference between the largest and smallest integers of the 3?
The greatest common factor of two numbers is 5!. Which of the following can be the second number, if one of the numbers is 9!?
Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train catches and completely passes the slower train in 72 seconds. What is the length of each train (in meters)?
A certain article of clothing was discounted during a special sale to 2/3 of its original retail price. When the clothing didn't sell, it was discounted even further to 1/2 of its original retail price during a second sale. By what percent did the price of this article of clothing decrease from the first sale to the second sale?
In a lottery, there are 10 prizes and 20 blanks. A lottery is drawn at random. What is the probability of getting a prize?
In a 500 m race, Ravi beats Ramesh by 5 seconds or 100 m. They decide to run another race and this time Ravi gives Ramesh a head tart of 200 m. If Ravi’s speed is twice his previous speed and Ramesh’s speed is one and half times his previous speed, how far from the starting point should the winning post be so that they finish at the same time?
What is the Compound Interest on Rs.9500 at 6% p.a. compounded half-yearly for 1 1/2 years.
Five farmers have 7,9,11,13 & 14 apple trees respectively in their orchards.last year each of them discovered that every tree in their own orchard bore exactly d same no of apples.further,if d 3rd farmer gives one apple to the 1st,& the 5th gives 3 to each of the 2nd & d 4th,they would all exactly have the same no of apples, what were d yields per tree in the orchards of d 3rd & 4th farmers?
Out of first 20 natural numbers, one number is selected at random. The probability that it is either an even number or a prime number is ?
Find the probability that a non leap year selected at random will have 53 Sundays
Of the 200 employees in a certain company, 25 percent will be relocated to City X and the remaining 75 percent will be relocated to City Y. However, 45 percent of the employees prefer City Y and 55 percent prefer City X. What is the highest possible number of employees who will be relocated to the city they prefer?
Johnny has 4 classes. He averaged a mark of 83 in those classes. If Johnny takes night school and scores an 88 in the course, what will his new average be?
A student chose a number, multiplied it by 7, then subtracted 150 from the result and got 130. What was the number he chose?
The surface area of a cube is 1734 sq. cm. Find its volume
A certain pilot flew 400 miles to City K at an average speed of 350 miles per hour with the wind and made the trip back at an average speed of 150 miles per hour against the wind. Which of the following is closest to the pilot’s average speed, in miles per hour, for the round-trip?
The average of 11 numbers is 10.6. If the average of the first six numbers is 10.5 and that of the last six numbers is 11.4, then the middle number is
A toy store regularly sells all stock at a discount of 10 percent. If an additional 10 percent were deducted from the discount price during a special sale, what would be the lowest possible price of a toy costing $10 before any discount?
A merchant gains or loses, in a bargain, a certain sum. In a second bargain, he gains 680 dollars, and, in a third, loses 80. In the end he finds he has gained 250 dollars, by the three together. How much did he gain or lose bv the first ?
In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
6+3+2 = 242116 8+9+1 = 727216 5+7+4 = 505644 2+7+5 =?
The ratio 25:50 expressed as percent equals to
Find the C.I. on a sum of Rs.10000 for 6 months at 25% per annum, interest being compounded quarterly?
If pqr < 0 and qr > 0, which of the following must be positive?
56 +57+58+59=230. How many such 4 consecutive numbers are there less than 500 when added gives a sum which is divisible by 10?
Consider a quarter of a circle of radius 36. Let r be the radius of the circle inscribed in this quarter of a circle. Find r.
In how many ways can 8 Indians and, 4 American and 4 Englishmen can be seated in a row so that all person of the same nationality sit together?
A woman named Ragavi started a business investing Rs. 7,000. Roja joined him after six months with an amount of Rs. 7,000 and Sachin joined them with Rs. 7,000 after another six months. The amount of profit earned should be distributed in what ratio among Ragavi, Roja and Sachin respectively, 3 years after A woman started the business ?
Dan's age after 16 years will be 4 times his age 8 years ago. What is the present age of Dan?
A train covers a distance of 18 km in 10 min. If it takes 6 sec to pass a telegraph post, then the length of the train is?
Use distributive property to solve the problem below: Maria bought 10 notebooks and 5 pens costing 3 dollars each.How much did Maria pay?
The present ages of three persons in proportions 4 : 7 : 5. Eight years ago, the sum of their ages was 56. Find their present ages (in years).
Jackson has $313,192 dollars in his investment accounts. What is the least amount of money (in whole number of dollars) that he must remove from his account if he wants to split this money evenly among nine new investors?
A man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat(in still water) and the stream is
How many words can be formed by using all letters of word ALIVE.
one person Tharak speed with the current is 10 km/hr and the speed of the current is 4 km/hr. Tharak's speed against the current is:
A shopkeeper sells two articles at Rs.1000 each, making a profit of 20% on the first article and a loss of 20% on the second article. Find the net profit or loss that he makes?
The smallest number when increased by " 1 " is exactly divisible by 6,18,36,48, 60 is:
A cyclist traveled for two days. On the second day the cyclist traveled 3 hours longer and at an average speed 10 mile per hour slower than she traveled on the first day. If during the two days she traveled a total of 280 miles and spent a total of 12 hours traveling, what was her average speed on the second day?
In a group of hats consisting of only blue hats, green hats, and purple hats, the ratio of blue hats to green hats to purple hats is 7:4:12. If there are a total of 161 hats in this group, how many of these hats are not blue?
By selling an article at Rs.600, a profit of 25% is made. Find its cost price?
A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 6km?
X starts a business with Rs.45000. Y joins in the business after 3 months with Rs.30000. What will be the ratio in which they should share the profit at the end of the year?
54.327 × 357.2 × 0.0057 is the same as :
A bag contains 4 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is
If 100<x<190 and 10<y<100, then the product xy CANNOT be equal to:
A teacher prepares a test. She gives 6 objective type questions out of which 4 have to be answered. Find the total ways in which they can be answered if the first 3 questions have 3 choices and the last 3 have 4 choices.
Find 356 x 936 - 356 x 836 = ?
The milk level in a rectangular box measuring 64 feet by 25 feet is to be lowered by 6 inches. How many gallons of milk must be removed? (1 cu ft = 7.5 gallons)
7 chess players take part in a tournament. Every player plays twice with each of his opponents. How many games are to be played?
P can do a certain work in 16 days. Q is 60% more efficient than P. How many days does Q alone take to do the same job?
A can do a piece of work in 15 days and B in 20 days. They began the work together but 5 days before the completion of the work, A leaves. The work was completed in?
If KING is coded as 17 and MASS is coded as 29 Then DON is coded as
In March, Kurt ran an average of 1.2 miles an hour. If by June he had increased his pace by 20 seconds per mile, then which of the following expresses the number of hours it would take Kurt to complete one mile in June?
A distributor sells a product through an online store, which take a commission of 20% of the price set by the distributor. The distributor obtains the product from a producer at the price of $19 per item. What is the price that the buyer observers online if the distributor wants to maintain a 20% profit on the cost of the item?
A person takes 5 hrs 45 min in walking to a place and riding back. He would have gained 4 hrs by riding both ways. The time he would take to walk both ways is?