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big_math_dataset

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Alex deposited x dollars into a new account that earned 6 percent annual interest, compounded annually. One year later Alex deposited an additional x dollars into the account. If there were no other transactions and if the account contained w dollars at the end of two years, which of the following expresses x in terms ...
Cubes with each side one inch long are glued together to form a larger cube. The larger cube's face is painted with red color and the entire assembly is taken apart. 25 small cubes are found with no paints on them . How many of unit cubes have at least one face that is painted red?
The sum of all possible two digit numbers formed from three different one digit natural numbers when divided by the sum of the original three numbers is equal to?
Which of the following MUST yield a fractional integer when divided by 4?
You enter a weight loss challenge game and manage to lose 12% of your body weight. For the final weigh in you are forced to wear clothes that add 2% to your weight. What percentage of weight loss is measured at the final weigh in?
A man can row a distance of 5 km in 60 min with the help of the tide. The direction of the tide reverses with the same speed. Now he travels a further 30 km in 10 hours. How much time he would have saved if the direction of tide has not changed?
A worker's daily wage is increased by 40% and the new wage is $28 per day. What was the worker's daily wage before the increase?
The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is
The circulation for magazine X in 1981 was 5 times the average (arithmetic mean) yearly circulation for magazine X for the years 1982-1990. What is the ratio of the circulation in 1981 to the total circulation during 1981-1990 for magazine X ?
A car traveling with 5/7 of its actual speed covers 42 km in 1 hr 40 min 48 sec. What is the actual speed of the car?
A fort of 400 soldiers has provisions for 10 days. After 2 days some of them left and the food was now enough for the same period of 10 days as before. How many of them left?
A factory produces x widgets per day. The factory's fixed costs are $8420 per day. The price per widget is $80 and the variable costs are $20 per widget. How many widgets need to be produced for profits of $5440 a day?
In a group of Hens and Goats, the total number of legs are 28 more than twice the number of heads. Find the total number of Goats.
Sum of the numbers from 1 to 35 is
A basketball coach will select the members of a five-player team from among 12 players, including John and Peter. If the five players are chosen at random, what is the probability that the coach chooses a team that includes both John and Peter?
A trader wants 10% profit on the selling price of a product whereas his expenses amount to 15% on sales. What should be his rate of mark up on an article costing 9?
The average age 15 girls of a class is 15 years. Out of these, the average age of 12 girls is 13 years and that of the other 3 girls is 14 years. The age of the 15th girl is?
If 189*s is a perfect square then s can be which of the following numbers?
10 books are placed at random in a shelf. The probability that a pair of books will always be together is -
Which of the following set is equivalent to set A= {a,b,c,d,e}
To which of the following shapes the area can't be calculated if the perimeter is given?
A man spends Rs. 1600 per month on an average for the first three months, Rs 1550 for next four months and Rs. 1800 per month for the last five months and saves Rs . 7600 a year. What is his average monthly income?
Each week, Harry is paid x dollars per hour for the first 30 hours and 1.5x dollars for each additional hour worked that week. Each week, Annie is paid x dollars per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week Annie worked a total of 53 hours. If Harry and Annie were ...
Rahul went to a shop and bought things worth Rs. 25, out of which 48 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
In a room filled with 7 people, 2 people have exactly 1 sibling in the room and 5 people have exactly 2 siblings in the room. If two individuals are selected from the room at random, what is the probability that those two individuals are NOT siblings?
The price of a certain bicycle this year is $1325, which is 6 percent greater than the cost of the bicycle last year. What was the price of the bicycle last year?
If (x - 1)^2 = 289, which of the following could be the value of x - 3?
Rajiv can do a piece of work in 10 days , Venky in 12 days and Ravi in 15 days. They all start the work together, but Rajiv leaves after 2 days and Venky leaves 3 days before the work is completed. In how many days is the work completed ?
If the sides of a triangle are 20 cm, 12 cm and 16 cm, what is its area?
A dishonest milkman sells a 50 liter mixture of milk and water that contains milk and water in the ratio of 3:2. He takes out 20 liters of the mixture and replaces it with an equal amount of milk. He then takes out 20 liters of this new mixture and replaces it with an equal amount of water to create his final mixture. ...
What is the lowest positive integer that is divisible by each of the integers 1 through 7, inclusive?
John and Mary were each paid x dollars in advance to do a certain job together. John worked on the job for 10 hours and Mary worked 3 hours less than John. If Mary gave John y dollars of her payment so that they would have received the same hourly wage, what was the dollar amount, in terms of y, that John was paid in a...
In a function they are distributing noble prize. In how many ways can 2 prizes be distributed among 9 boys when a boy gets any no. of prizes?
Allen and Drake were born on consecutive years on the same date. What could be their ages if teh sum of their age is 23 years?
Which number is the odd one out under the list of numbers?
Two trains 250 m and 500 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
A package contains 8 black and 11 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
A train running at the speed of 110 km/hr crosses a pole in 9 sec. What is the length of the train?
How many seconds will a 600 m long train take to cross a man walking with a speed of 2 km/hr in the direction of the moving train if the speed of the train is 56 km/hr?
If x and y are integers and 3^(x+4) = 3^(y+2), what is y in terms of x?
23 people are there, they are shaking hands together, how many hand shakes possible,if they are in pair of cyclic sequence.
How many integers from 101 to 600, inclusive, remains the value unchanged when the digits were reversed?
If k^3 is divisible by 162, what is the least possible value of integer k?
My brother is 3 years elder to me. My father was 28 years of age when my sister was born while my mother was 26 years of age when I was born. If my sister was 4 years of age when my brother was born, then what was the age of my father when my brother was born?
A store sold cherries in the afternoon twice as many as in the morning. Throughout the day were sold 360 kg. How many kilograms were sold in the afternoon?
How many ways can 5 different colored marbles be placed in 3 distinct pockets such that any pocket contains at least 1 marble?
Ten cards numbered 1 to 10 are placed in a box and then one card is drawn randomly. If it is known that the number on the drawn card is more than 3, what is the probability that it is an odd number?
What is the perimeter of a regular polygon with sides of length 15 cm and internal angles measuring 160° each?
How many times in a day the hands of a clock are straight?
Of all the homes on Gotham Street, 1/3 are termite-ridden, and 2/5 of these are collapsing. What fraction of the homes are termite-ridden, but NOT collapsing?
what is the maximum possible remainder when a number 104^n is divided by 51 ? (Assume n be any positive integer)
A lady took loan from a bank at the rate of 12% p.a. simple interest. After 3 years she had to pay Rs. 5400 interest only for the period. The principal amount borrowed by her was :
5 20 380 144020 ?
Three people have $26, $72, and $98, respectively. If they pool their money then redistribute it among them, what is the maximum value for the median amount of money?
Roy was suffering from severe headaches. He went to see his doctor and the doctor gave him five tablets asking him to take one tablet every 15 minutes. How much time will it take Roy to consume all the five tablets?
The difference between a number and its two-fifth is 510. What is 10% of that number?
Each of the integers from 0 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into hat. If the slips are then drawn one at a time without replacement, how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 11?
A vendor buys 10 t-shirts at an average price of $14 per t-shirt. He then buys 15 more t-shirts at an average price of $11 per t-shirt. What is the average price D per t-shirt that the vendor paid for these purchases?
The length of the longest tape in cm which can be used to measure exactly, the length 8m; 5m 60cm; and 15m is:
Set A: 3, w, 8, 10 Set B: 4, y, 9, 11 The terms of each set above are given in ascending order. If the median of Set A is equal to the median of Set B, what is the value of y – w?
The curved surface of a sphere is 64 π cm2. Find its radius?
H is a positive integer and 225 and 216 are both divisors of H. If H=(2^a)*(3^b)*(5^c), where a, b and c are positive integers, what is the least possible value of a+ b+ c?
A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 36 years now, the son's age five years back was
Two cyclist start from the same places in opposite directions. One is going towards north at 18kmph and the other is going towards south 20kmph. What time will they take to be 114 km apart?
A certain list of 301 test scores has an arithmetic mean of 75 and a standard deviation of d, where d is positive. Which of the following two test scores, when added to the list, must result in a list of 302 test scores with a standard deviation less than d?
Find the one which does not belong to that group ?
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?
A train 450 m long running at 126 kmph crosses a platform in 20 sec. What is the length of the platform?
An uneducated retailer marks all his goods at 50% above the cost price and thinking that he will still make 25% profit, offers a discount of 25% on the marked price. What is his actual profit on the sales?
I bought two books; for Rs.600. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss?
If the growth in production of company A from 1994 to 1995 was 25% and that from 1995 to 1996 was 60%, then what percentage growth took place from 1994 to 1996?
Jack bought 150 packets of chocolate. He was able to sell 1/3 of them at a 20% profit, another 1/3 of them at zero profit and the remainder was sold at a 10% loss. Find the total profit or loss made by the person after selling those 150 packets. A packet sold at a loss had a price of $9. Please provide an intuitive ans...
A sum of money is borrowed and paid back in two annual installments of Rs. 882 each allowing 5% C.I. The sum borrowed was?
Six pipes are fitted to a water tank. Some of these are inlet pipes and the others outlet pipes. Each inlet pipe can fill the tank in 9 hours and each outlet pipe can empty the tank in 6 hours. On opening all the pipes, an empty tank is filled in 9 hours. How many inlet pipes are there?
There are 9 executives, including the CEO and CFO, that are asked to form a small team of 5 members. However, the CEO and CFO may not both be assigned to the team. Given this constraint, how many ways are there to form the team?
The Guests at a football banquet consumed a total of 337 pounds of food. if no individual guest consumed more than 2 pounds of food, What is the minimum number of guests that could have attended the banquet?
The grade point average of the entire class is 87. If the average of one third of the class is 95, what is the average of the rest of the class?
The average of five numbers is 27. If one number is excluded, the average becomes 25. The excluded number is?
Find the odd man out 1, 2, 5, 14, 41, 120
A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 sq. feet, how many feet of fencing will be required?
In a class,7 students like to play Basketball and 5 like to play Cricket. 3 students like to play on both Basketball and Cricket. How many students like to play Basketball or Cricket or both?
If a quarter kg of onions costs 60 paise, how many paise will 100 gm cost?
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 $6. The factory holds a $80 worth stock of 12 modules. How many of the modules in the stock are of the cheaper kind?
If x/y = 9/8, Then (8x + 7y) / (8x – 7y) = ?
There are 6 periods in each working day of a school. In how many ways can one organize 5 subjects such that each subject is allowed at least one period?
If 10 crates have 94 apples each and how many apples more is required in order to make 100 apples in each crate?
How many integers between 314,700 and 458,600 have tens digit 1 and units digit 3?
A patient was given four pills which he is required to take one after every thirty-five minutes. How long can the pills run for him?
In a kilometer race, A beats B by 80 meters or 8 seconds. What time does A take to complete the race?
At what price must an article costing Rs.47.50 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 25% on the cost price?
The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?
The sum of two numbers is 22. Five times one number is equal to 6 times the other. The bigger of the two numbers is
Jackson invested $500,000, dividing it all unequally between Account P and Account Q. At the end of the year, it turned out that Account P had earned 12% interest and Account Q had earned 25% interest. If Jackson earned a total of $60,000 in interest between the two accounts, which of the following is approximately the...
Find the principle on a certain sum of money at 5% per annum for 5 years if the amount being Rs.1120?
An engagement team consists of a project manager, team leader, and four consultants. There are 5 candidates for the position of project manager, 8 candidates for the position of team leader, and 7 candidates for the 4 consultant slots. If 2 out of 7 consultants refuse to be on the same team, how many different teams ar...
From a group of 3 signers and 3 comedians, a show organizer might select two singers and two comedians to appear one after another in the show, how many different ways an organizer can arrange the performers in the show.
How many different arrangements of A, B, C, D, and E are possible where B and D is not adjacent to E?
The average height of 35 boys in a class was calculated as 180cm. 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).?
An error 3% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is:
The probability of a team winning a match given Matt is playing the match is 0.70. The probability of the team winning a match given Matt is not playing the match is 0.5. The probability of Matt playing any match is 0.9. If it is known that the team has won the last match, what is the probability that Matt played the m...