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big_math_dataset

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A certain bakery has 6 employees. It pays annual salaries of $17,000 to each of 2 employees, $19,000 to 1 employee, and $20,000 to each of the remaining 3 employees. Which number is closest to the average (arithmetic mean) annual salary of these employees?
The price of a coat in a certain store is $500. If the price of the coat is to be reduced by $150, by what percent is the price to be reduced?
The difference between the compound interest compounded annually and simple interest for 2 years at 20% per annum is Rs.144. Find the principal?
Pipe A can fill a tank in 10 minutes and pipe B cam empty it in 24 minutes. If both the pipes are opened together after how many minutes should pipe B be closed, so that the tank is filled in 30 minutes?
The price of pulses has fallen by 18%. How many quintals can be bought for the same amount which was sufficient to buy 16 quintals at the higher price?
What is the value of 4^5+4^6?
If A =x% of y and B =y% of x, then which of the following is true?
Tim bought a new machine to help him picking apples from apple trees. If this new machine can pick 20 apples every 30 minutes and Tim wants to pick 500 apples today. How many hours he is going to take?
If the median of a list of numbers is m, the first quartile of the list is the median of the numbers in the list that are less than m. What is the first quartile of the list of numbers 42, 23, 30, 22, 26, 19, 33 and 35 ?
In 1998 the profits of company N were 10 percent of revenues. In 1999, the revenues of company N fell by 30 percent, but profits were 20 percent of revenues. The profits in 1999 were what percent of the profits in 1998?
A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 5 km/hr. find the time taken by the boat to go 68 km downstream?
a school has 7 maths 6 physics and 5 chemistry teachers each teacher can teach 3 subjects max what is he minimum number of teachers required
Two trains of length 120 m and 320 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?
A wholesaler wishes to sell 100 pounds of mixed nuts at $2.00 a pound. She mixes peanuts worth $1.50 a pound with cashews worth $4.00 a pound. How many pounds of cashews must she use?
A train crosses a platform of 170 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
When 4 fair coins are tossed simultaneously, in how many outcomes will the first and the last coin turn up heads?
A $79.95 lawn chair was sold for $59.95 at a special sale. By approximately what percent was the price decreased?
What is the diffference between the place value and face value of 3 in the numeral 1375?
How many liters of pure alcohol must be added to a 100-liter solution that is 20 percent alcohol in order to produce a solution that is 40 percent alcohol?
The average (arithmetic mean) of the integers from 200 to 800, inclusive, is how much greater than the average of the integers from 50 to 300, inclusive?
0.03 x 0.0172 is equal to:
If a number is 80% more than the another, how much % is the smaller number less than the first ?
In what time a sum of money double itself at 3% per annum simple interest?
Line A has the equation 3x + y = 7. Which of the following lines is perpendicular to Line A?
A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 700 m long?
Two trains are running at 40 km/hr and 20 km/hr respectively in the same direction. Fast train completely passes a man sitting in the slower train in 5 sec. What is the length of the fast train?
Last year a certain bond yielded 6 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?
Williams, a painter, has 9 jars of paint: 4 are orange, 2 are yellow, and the rest are brown. Williams will combine 3 jars of paint into a new container to make a new colour, which he will name according to the following conditions: 1) C1, if the paint contains 2 jars of brown paint and no orange paint 2) C2, if the paint contains 3 jars of brown paint. 3) J1, if the paint contains at least 2 jars of orange paint 4) J2, if the paint contains exactly 1 jar of orange paint What is the probability that the new colour will be a shade of J (J1 or J2)?
In 100 m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by:
An escalator moves towards the top level at the rate of 12 ft.sec and its length is 210 feet. If a person walks on the moving escalator at the rate of 2 feet per second towards the top level, how much time does he take to cover the entire length.
3 baseball players each stand at different corners of a baseball diamond. The sides of the diamond are all of equal length. Two arrangements of baseball players are considered different only when the relative positions of the players differ. How many different ways can the baseball players arrange themselves around the diamond?
What will be the cost of building a fence around a square plot with area equal to 289 sq ft, if the price per foot of building the fence is Rs. 56?
For an employee to qualify for early retirement at a certain company, the sum of the employee’s age and years of service must be at least 80, If Sue was K years old when she was hired by the company, what is the minimum age at which she could possibly qualify for early retirement.
A large delicatessen purchased p pounds of cheese for c dollars per pound. If W pounds of the cheese had to be discarded due to spoilage and the delicatessen sold the rest for s dollars per pound, which of the following represents the gross profit on the sale of the purchase? (gross profitequalssales revenueminusproduct cost)
A town in California fines residents who do not pay their property taxes on time. All residents must pay their taxes before July 1st for that calendar year or face the following fine structure: For the first month the taxes are overdue (that would be any payment made on July 1st through July 31st), the total fine is 1% of the original tax bill; for each additional month that the taxes are overdue, the total fine is increased by $800 or tripled, whichever results in the lesser amount. What is the total fine for a resident of that town who originally owed $60,000 in property taxes, but did not pay until October 15th?
A and B can do a work in 12 days, B and C in 30 days and C and A in 36 days. In how many days will the work be completed, if all three of them work together?
Two trains are running in opposite directions with the same speed. If the length of each train is 120 m and they cross each other in 12 sec, then the speed of each train is?
If log 2 = 0.3010 and log 3 = 0.4771, the value of log5 (512)
A man rows his boat 75 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
Find the L.C.M of 72,108,2100
1.5, 2.3, 3.1, 3.9, ..?
The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period(in years) is?
Pipes A and B can fill a tank in 11 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in
Bruno and Sacha are running in the same direction around a stadium. Sacha runs at a constant speed of 9 meters per second, and Bruno runs at a constant speed of 5 meters per second. At a certain point Sacha overtakes Bruno. If one minute afterward, Sacha stops and waits for Bruno to reach him, then how many seconds does he have to wait?
a man brought some watermelons to town and sold them. he sold 1/2 more than 1/2 of what he brought and he was left with one melon. how many melons did he bring to town?
At what rate percent on simple interest will a sum of money double itself in 20 years?
287 x 287 + 269 x 269 - 2 x 287 x 269 = ?
Five percent of a certain grass seed is timothy. If the amount of the mixture needed to plant one acre contains 2 pounds of timothy, how many acres can be planted with 240 pounds of the seed mixture?
A,B,C can complete a piece of work in 18,6,12 days. Working together, they complete the same work in how many days?
The average age of 10 members of a committee is the same as it was 4 years ago, because an old member has been replaced by a young member. Find how much younger is the new member?
In the coordinate plane, Line A has a slope of -1 and an x-intercept of 1. Line B has a slope of 3 and a y-intercept of -3. If the two lines intersect at the point (a,b), what is the sum a+b?
From the beginning to the end of 2007, the price of a stock rose 20 percent. In 2008, it dropped 25 percent. In 2009, it rose 40 percent. What percent of the stock’s 2007 starting price was the price of the stock at the end of 2009?
Analyze the number square carefully and find out what number fits in place of question mark. 1 2 3 4 5 6 7 8 ?
A river boat leaves Silver Town and travels upstream to Gold Town at an average speed of 3 kilometers per hour. It returns by the same route at an average speed of 7 kilometers per hour. What is the average speed for the round-trip in kilometers per hour?
A began business with 12000 and is joined afterwards by B with 48000. When did B join, if the profits at the end of the year are divided equally?
A reduction in the price of petrol by 10% enables a motorist to buy 5 gallons more for $300. Find the original price of petrol?
The average of runs of a cricket player of 10 innings was 32. How many runs must he make in his next innings so as to increase his average of runs by 4?
(422 + 404)2 − (4 × 422 × 404) = ?
A chair is bought for Rs.600/- and sold at a loss of 40% find its selling price
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 650 m?
A and B together can do a work In 4 days. A alone can do it in 20 days.what time B will take to do the work alone?
A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?
There are 4 couples. If they will sit 8 chairs in a row such that each couple sits side by side, how many possible cases are there?
In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?
A boy has to cover a total distance of 300 kms. in 6 hours. He travels at the rate of 60 kmph. for first 90 minutes and next 100 kms. at the rate of 50 kmph. At what average speed must he travel now in order to complete the journey in 6 hours?
How many seconds will a 600 meter long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr?
How many bricks, each measuring 25 cm x 11 cm x 6 cm, will be needed to build a wall of 8 m x 1 m x 5 cm?
If two of the four expressions x+y, x+5y, x-y, and 5x-y are chosen at random, what is the probability E that their product will be of the form of x^2-(by)^2, where b is an integer?
A certain sum of money doubles itself in 7 years in how much many years will it trible itself at the same rate?
How much time will it take for an amount of 450 to yield 81 as interest at 4.5% per annum of simple interest?
K and L start a business jointly. L invests Rs.16000 for 8 months and L remains in the business for 4 months. Out of the total profit B claims 2/7th share. How much money is contributed by B ?
A fort of 2000 soldiers has provisions for 50 days. After 10 days some of them left and the food was now enough for the same period of 50 days as before. How many of them left?
At a particular pizza shop, a pizza can be created from any combination of 8 different types of spice, 7 different types of meat, among which are pepperoni and anchovies, and 4 different types of cheese. If a customer at the shop decides to order a pizza with 1 type of spice, 2 types of cheese, and 4 types of meat but without pepperoni and anchovies together, how many possible ways to garnish the pizza are available to the customer?
A person bought an article and sold it at a loss of 10%. If he had bought it for 20% less and sold it for Rs.75 less, he could have gained 25%. What is the cost price?
If the sum of 5 consecutive integers is 125, what is sum of the 5 consecutive integers preceding the former sequence?
What is the range of all the roots of |x^2 - 4| = x ?
(X+1) is an even number and (Y+1 )is a positive odd number. Which of the following expressions cannot be ODD?
In the quadrilateral PQRS d=6 cm, h1=5 cm and h2=2.5 cm. Find the area
A 180 meter long train crosses a man standing on the platform in 6 sec. What is the speed of the train?
Richard's company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in 30 hrs and a machine of type S does the same job in 15 hours. If the company used the same number of each type of machine to do the job in 2 hours, how many machines of type R were used?
What is the sixth digit to the right of the decimal point, in the decimal expansion of (3/5)^6?
There is a five digit code consist of letters and digit. the code can have one digit from 1,2,3 and any four letters from A,b,c,d,e. first and last code must be a letter and all letters can be repeated. How many combinations can be possible?
Two trains 140 m and 190 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?
The average age of an adult class is 40 years. 12 new students with an avg age of 32 years join the class. Therefore decreasing the average by 6 year. Find what was the original average age of the class?
A rectangular-shaped carpet that measures x feet by y feet is priced at $38. What is the cost of the carpet, in dollars per square yard? (1 square yard = 9 square feet)
A store sells a certain product at a fixed price per unit. At the product's current price, f units cost a total of exactly $300. If the price were lowered by $5 from its current value, then f + 2n units would cost exactly $300; if the price were raised by $5, then f – n units would cost exactly $300. What is the value of f?
A toy train started on a 12-feet loop trail at a rate of 4 feet per minute. One minute afterwards, a toy scooter from the same starting point on the loop trail at 6 feet per minute. What is the shortest time that the scooter would take on the trail in order to catch up with the train?
If x-y=8, which of the following must be true? I. If x is positive, y must be positive II. If x is negative, y must be negative III. Both x and y are positive
A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containg 17% alcohol and now the percentage of alcohol was found to be 26%. What quantity of whisky is replaced ?
Find the number which when multiplied by 15 is increased by 196
The sum of two numbers is 75 and their difference is 20. Find the difference of their squares.
When 2/3 of the garments in the shipment were inspected, 27 of the garments passed inspection and the remaining 3 garments failed. How many of the uninspected garments must pass inspection in order that 90 percent of the garments in the shipment pass?
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?
If each side of a square is increased by 50%, the ratio of the area of the resulting square to the area of the given square is:
Simplfy 2b - [b -(a+b) - {b - (b - a+b)} + 2a]
When 1/10% of 4,000 is subtracted from 1/10 of 4,000, the difference is
The captain of a cricket team of 11 members is 29 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?
Find large number from below question The difference of two numbers is 1375. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
A set has an average (arithmetic mean) of 42 and a standard deviation of 1.8. Which of the following values is two standard deviations away from the mean?
Each truck from Jones Removal Company can haul 500 pounds of trash at a time. On Wednesday the company has jobs to remove 1,500 pounds of trash from one site, 500 from another site, and 2,500 from a third site. How many total pounds of trash will be moved by Jones Company that day? How many trips will it take for the Jones Company to remove all of the trash?