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big_math_dataset

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A certain car dealership offers its newest model in ten exterior and nine interior colors. If the ten interior colors are identical to the nine exterior colors, and the dealership sells every pair of colors except those that would result in a car with an identically colored interior and exterior, how many different color combinations are possible?
Sum of the squares of three numbers is 363 and the sum of their products taken two at a time is 131. Find the sum?
If a is a positive number and 1/4 the square root of a is equal to 2a, then a =
In March, Bill ran an average of 1 mile an hour. If by June he had increased his pace by 10 seconds per mile, then which of the following expresses the number of hours it would take Bill to complete one mile in June?
If positive integers x is even and y is odd, which of the following must be odd?
A car crosses a 600 m long bridge in 5 minutes. Whatis the speed of car in km per hour?
Last year the price range (per kg) for 100 varieties of apples in wholesale market was $1,00. If the prices of each of the 100 varieties increased by 10 percent this year over what it was last year, what is the range of the wholesale prices of the 1000 varieties of apples this year?
A certain car's price decreased by 2.5% (from the original price) each year from 1996 to 2002, during that time the owner of the car invested in a new carburetor and a new audio system for the car, which increased car's price by $3,500. If the price of the car in 1996 was $22,000, what is the car's price in 2002?
A bar over a sequence of digits in a decimal indicates that the sequence repeats indefinitely. What is the value of (10^4 -10^2)(0.0019)?
Two assembly line inspectors, smithy and glen, inspect widgets as they come off the assembly line. If smithy inspects every fifth widget, starting with the fifth, and glen inspects every third, starting with the third, how many of the 98 widgets produced in the first hour of operation are not inspected by either inspector?
A booster pump can be used for filling as well as for emptying a tank. The capacity of the tank is 2400 . The emptying capacity of the tank is 10 per minute heigher than its filling capacity and the pump needs 8 minutes lesser to empty the tank than it needs to fill it. What is the filling capacity of the pump?
The annual budget of a certain college is to be shown on a circle graph. If the size of each sector of the graph is to be proportional to the amount of the budget it represents, how many degrees of the circle should be used to represent an item that is 20 percent of the budget?
Marts income is 50 percent more than Tims income and Tims income is 40 percent less than Juans income. What percentage of Juans income is Marts income
Joe’s average (arithmetic mean) test score across 4 equally weighted tests was 60. He was allowed to drop his lowest score. After doing so, his average test score improved to 65. What is the lowest test score that was dropped?
A batsman makes a score of 87 runs in the 17th inning and thus increases his avg by 3. Find his average after 17th inning.
Pipes A and B can fill a cistern in 8 and 24 minutes respectively. They are opened an alternate minutes. Find how many minutes, the cistern shall be full?
A survey of employers found that during 1993 employment costs rose 3.5 percent, where employment costs consist of salary costs and fringe-benefit costs. If salary costs rose 3 percent and fringe-benefit costs rose 6.5 percent during 1993, then fringe-benefit costs represented what percent of employment costs at the beginning of 1993 ?
Mr. Das decided to walk down the escalator of a mall. He found that if he walks down 26 steps, he requires 30seconds to reach the bottom. However, if he steps down 34 stair she would only require 18 seconds to get to the bottom. If the time is measured from the moment the top step begins to descend to the time he steps off the last step at the bottom, find out the height of the stair way insteps?
Find the fourth proportional to 2.4, 4.6 and 7.6?
The sum of first five prime numbers is?
The average (arithmetic mean) of all scores on a certain algebra test was 90. If the average of the 8 male students’ grades was 83, and the average of the female students’ grades was 92, how many female students took the test?
If 6 cats can kill 6 rats in 6 minutes, how long will it take 100 cats to kill 100 rats?
Two identical machines have the ability to produce both nuts and bolts. However, it takes 1 second to produce a bolt but 2 seconds to produce a nut. What is the fastest the two machines, working together, can produce 1,400 nuts and 1,400 bolts?
L.C.M of two prime numbers x and y (x>y) is 161. The value of 3y-x is :
A circular jogging track forms the edge of a circular lake that has a diameter of 2 miles. Johanna walked once around the track at the average speed of 1 miles per hour. If t represents the number of hours it took Johanna to walk completely around the lake, which of the following is a correct statement?
In how many ways can 4 men and 3 women can arrange with a condition that each men should not sit together and they must be in the order of their age.
If an object travels at nine feet per second, how many feet does it travel in one hour?
A man cycling along the road noticed that every 12 minutes a bus overtakes him and every 4 minutes he meets an oncoming bus. If all buses and the cyclist move at a constant speed, what is the time interval between consecutive buses?
P software has coding line 5% more than N, N software has coding line 1/3 more than M. M software has 90 lines of coding. find P lines.
In a locality, the prevailing price of a 700 square feet property last year was US Dollar 1000. The owner made some additions and the 900 square feet property is now fetching a price of US Dollar 1500. By approximately what percent did the ratio of price to size increase from the previous year's price?
On dividing 271 by a number, the quotient is 9 and the remainder is 1. Find the divisor?
If 5 machines can produce 20 units in 10 hours, how long would it take 10 to produce 80 units?
There is a square with sides of 9. What is the area of the biggest circle that can be cut out of this square?
There are 8 stations between Vijayawada and Chennai. How many second class tickets have to be printed, so that a passenger can travel from any station to any other station?
In how many ways can the letters of the English alphabets be arranged so that there are seven letters between the letters A and B, and no letter is repeated?
Which of the following CANNOT be a product of two distinct positive integers X and Y?
How many cubes of 10cm edge can be put in a cubical box of 1m edge
In what time a sum of money double itself at 5% per annum simple interest?
3 years before age of A was double than age of B.after 7 years the sum of their ages will 83.calculate the age of A.
A started a business with 4500 and another person B joined after some period with 3000. Determine this period after B joined the business if the profit at the end of the year is divided in the ratio 2 : 1
A total of 525 players participated in a single tennis knock out tournament. What is the total number of matches played in the tournament? (Knockout means if a player loses, he is out of the tournament). No match ends in a tie.
A retail item is offered at a discount of x percent (where x > 10), with a 5% state sales tax assessed on the discounted purchase price. If the state sales tax were not assessed, what percent discount from the item’s original retail price, in terms of x, would result in the same final price?
A magician has five animals in his magic hat: 3 doves and 2 rabbits. If he pulls two animals out of the hat at random, what is the chance W that he will have a matched pair?
0.0005521/0.0000110 x 15.05=?
A trader bought a car at 20% discount on its original price. He sold it at a 40% increase on the price he bought it. What percent of profit did he make on the original price?
M is the sum of the reciprocals of the consecutive integers from 601 to 700, inclusive. Which of the following is true?
16.036 divided by 0.04 gives :
Donovan and Michael are racing around a circular 300-meter track. If Donovan runs each lap in 45 seconds and Michael runs each lap in 40 seconds, how many laps will Michael have to complete in order to pass Donovan, assuming they start at the same time?
A wheel rotates 10 times every minute and moves 40 cm during each rotation. How many metres does the wheel move in one hour?
The speed of a boat in still water is 50kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
A certain violet paint contains 30 percent blue pigment and 70 percent red pigment by weight. A certain green paint contains 50 percent blue pigment and 50 percent yellow pigment. When these paints are mixed to produce a brown paint, the brown paint contains 40 percent blue pigment. If the brown paint weighs 10 grams, then the red pigment contributes how many grams of that weight?
Arun and Amit started walking from two different points 'A' and 'B' respectively.Arun walks 2 kms North and turns to the East and walks 3 kms and again turns to North walks 4 kms and finally turns to East and Walks 5kms to reach point 'C'. Similarly, Amit walks 2 kms North and turns to west and walks 3 kms and finally turns to North, walks 4 kms and meets Arun at point 'C'. What is the distance between Arun and Amit's starting points?
Find the missing number in the given sequence : 1,2,3,5,?,13,21,?
What is 7 1/4 - 4 2/3 divided by 7/8 - 3/4 ?
The average of 11 numbers is 9.6. If the average of first six is 10.5 and that of the last six is 11.4 the sixth number is?
Set C consists of 19 elements. The average of set C is L. If a new element is added to the set and the average grows by K, what is the value of the new element?
Xavier, Yvonne, and Zelda each try independently to solve a problem. If their individual probabilities for success are 1/6, 1/2 and 5/8, respectively, what is the probability that Xavier and Yvonne, but not Zelda, will solve the problem?
The bankers discount and the true discount of a sum at 15% per annum simple interest for the same time are Rs.120 and Rs.60 respectively. What is the sum and the time?
Anil can do a work in 15 days while Sunil can do it in 25 days. How long will they take if both work together?
There are 18 stations between Hyderabad and Bangalore. How many second class tickets have to be printed, so that a passenger can travel from any station to any other station?
A sells a bicycle to B and makes a profit of 25%. B sells the same bicycle to C at a profit of 25%. If the final S.P. of the bicycle was Rs. 225, find out the cost price of the bicycle for A.
Average of first five multiples of 4 is
A card shop contains 5 birthday cards, 4 holiday cards, and 3 graduation cards. If three cards are purchased at random from the shop, what is the probability that the three cards will be graduation cards?
A train crosses a platform of 180 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
Each night before he goes to bed, Jordan likes to pick out an outfit to wear the next day. He has 12 different shirts, 10 different pairs of jeans, and 5 pairs of sneakers. If an outfit consists of 1 shirt, 1 pair of jeans, and 1 pair of sneakers, how many different outfits does Jordan have?
A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are picked at random, what is the probability that they are either blue or yellow?
A bag contains 10 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is
Each of three charities in Novel Grove Estates has 8 persons serving on its board of directors. If exactly 4 persons serve on 3 boards each and each pair of charities has 5 persons in common on their boards of directors, then how many distinct persons serve on one or more boards of directors? A. B. C. D. E.
What approximate value should come in place of the question mark (?) in each of the following equations ? 27.874 x 15.01 3 = ?
Nitin borrowed some money at the rate of 6% p.a. for the first three years, 9% p.a. for the next five years and 13% p.a. for the period beyond eight years. If the total interest paid by him at the end of eleven years is Rs. 8160, how much money did he borrow?
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 38 years now, the son's age five years back was?
If the sides of a triangle are 28 cm, 26 cm and 12 cm, what is its area?
A pipe can fill the tank in 5 hours. Due to leakage at the bottom it is filled in 6 hours. When the tank is full, in how much time will it be empties by the leak?
There are 10 people and 7 chairs. In how many different ways people can occupy the chairs?
A company decreased the price of its main product by 30%. Subsequently, the number of units sold increased such that the total revenue remained unchanged. What was the ratio of the percent increase in the units sold to the percent decrease of the original price for this product?
What is the greatest positive integer R such that 3^R is a factor of 9^10?
there are digits from 1 to 6 .from that 5 digit no are to be formed such that they are divisible by 4. find no of possible combinations?
Students are partnered in the class and are given stickers for their behavior. Green stickers are for good behavior, yellow stickers are for okay behavior, and red stickers for for behavior requiring discipline. The students' desks are labeled A, B, C, and D. If A:B = green/yellow, B:C = yellow/red, C:D = red/student absent no sticker, and then D:A are partnered. What will D:A sticker color be if behavior does not change?
If p is an even integer and q is an odd integer, which of the following must be an even integer?
Difference between the length &breadth of a rectangle is 5 m. If its perimeter is 45 m, then its area is??
Carl is facing very difficult financial times and can only pay the interest on a $20,000 loan he has taken. The bank charges him a quarterly compound rate of 5%. What is the approximate interest he pays annually?
A train travels at the rate of 10 miles/hr for the first hour of a trip, at 20 miles/hr for the second hour, at 30 miles/hr for the third hour and so on. How many hours will it take the train to complete a 280-mile journey? Assume that the train makes no intermediate stops.
A and B walk around a circular track. They start at 8 a.m. from the same point in the opposite directions. A and B walk at a speed of 5 rounds per hour and 5 rounds per hour respectively. How many times shall they cross each other before 9.30 a.m. ?
Elena purchased Brand X pens for $4.00 apiece and brand Y for $2.20 apiece. If Elena purchased a total of 12 of these pens for $42.00, how many brand X pens did she purchase?
Fill in the sequence: 1 2 3 2 1 2 3 4 2 ?
The ratio of the volumes of two cubes is 729 : 1000. What is the ratio of their total surface areas?
Compute all real solutions to 16x + 4x+1 - 96 = 0
Sushil got thrice as many marks in English as in Science. His total marks in English, Science and Maths are 162. If the ratio of his marks in English and Maths is 3:5, find his marks in Science?
Evaluate permutation 5P5
A half of Arun’s marks in mathematics exceed a third of his marks in English by 50.If he got 250 marks in two subjects together how many marks did he got in English?
How many prime numbers between 1 and 100 are factors of 7,150?
In simple interest what sum amounts of Rs.1120/-in 4 years and Rs.1200/-in 5 years ?
Which of the following describes all values of x for which 36-x^2 ≥ 0 ?
Fresh grapes contains 90% water, and dry grapes contains 85% matter. To get 25 kgs of dry grapes who many kgs of fresh grapes have to be processed?
When divided by 5, x has a remainder of 4 and y has a remainder of 1. Which of the following could be the remainder when x + y is divided by 10?
A man can row downstream at 26 kmph and upstream at 10 kmph. Find the speed of the man in still water and the speed of stream respectively?
In how many ways can the letters D, I, S, I, N, O, I, C be arranged so that the three I's are not next to each other?
The greatest possible length which can be used to measure exactly the length 7 m, 3 m 85 cm, 12 m 95 cm is :
Dividing by 3⁄9 and then multiplying by 5⁄6 is the same as dividing by what number?
A sales representative receives a salary of $200 per week and earns a commission of 20% on all sales she makes. How many dollars’ worth of sales does she need to make in order to bring her total weekly income to $600?