GMAT
If a =$$ 1 +\frac{1}{4} +\frac{1}{16} + \frac{1}{64} $$and b = $$1+ \frac{1}{4}a$$, then what is the value of a-b?
The maximum recommended pulse rate R, when exercising, for a person who is x years of age is given by the equation R = 176 ‒ 0.8x. What is the age, in years, of a person whose maximum recommended pulse rate when exercising is 140 ?
If Mario was 32 years old 8 years ago, how old was he x years ago?
The annual interest rate earned by an investment increased by 10 percent from last year to this year. If the annual interest rate earned by the investment this year was 1 percent, what was the annual interest rate last year?
For what value of x between –4 and 4, inclusive, is the value of $$ x^{2} – 10x + 16 $$ the greatest?
If x + y = 2 and $$x^{2} + y^{2} = 2$$, what is the value of xy ?
What is the ratio of $$\frac{3}{4}$$ to the product $$4(\frac{3}{4})$$
Five machines at a certain factory operate at the same constant rate. If four of these machines, operating simultaneously, take 30 hours to fill a certain production order, how many fewer hours does it take all five machines, operating simultaneously, to fill the same production order?
When 24 is divided by the positive integer n, the remainder is 4. Which of the following statements about n must be true?I. n is even.II. n is a multiple of 5.III. n is a factor of 20.
The sequence $$a_{1}, a_{2}, a_{3}, a_{4}, a_{5}$$ is such that $$a_{n} = a_{n ‒ 1} + 5$$ for 2 ≤ n ≤ 5. If $$a_{5} = 31$$, what is the value of $$a_{1} $$?
Each machine at a toy factory assembles a certain kind of toy at a constant rate of one toy every 3 minutes. If 40 percent of the machines at the factory are to be replaced by new machines that assemble this kind of toy at a constant rate of one toy every 2 minutes, what will be the percent increase in the number of toys assembled in one hour by all the machines at the factory, working at their constant rates?
$$(1 + \sqrt{5})(1 - \sqrt{5}) = $$
Of the following, which is least?
How many integers between 1 and 16, inclusive, have exactly 3 different positive integer factors?(Note: 6 is NOT such an integer because 6 has 4 different positive integer factors: 1, 2, 3, and 6.)
Stephan has $$2\frac{1}{4} $$ cups of milk on hand and makes 2 batches of cookies, using $$\frac{2}{3}$$ cup of milk for each batch of cookies. Which of the following describes the amount of milk remaining after she makes the cookies?
The price of a certain stock increased by 0.25 of 1 percent on a certain day. By what fraction did the price of the stock increase that day?
For all positive integers m and v, the expression m Θ v represents the remainder when m is divided by v. What is the value of ((98Θ33)Θ17)-(98Θ(33Θ17)) ?
There are five sales agents in a certain real estate office. One month Andy sold twice as many properties as Ellen, Bob sold 3 more than Ellen, Cary sold twice as many as Bob, and Dora sold as many as Bob and Ellen together. Who sold the most properties that month?
Last week Jack worked 70 hours and earned $1,260. If he earned his regular hourly wage for the first 40 hours worked, $$1\frac{1}{2}$$ times his regular hourly wage for the next 20 hours worked, and 2 times his regular hourly wage for the remaining 10 hours worked, what was his regular hourly wage?
List S consists of 10 consecutive odd integers, and list T consists of 5 consecutive even integers. If the least integer in S is 7 more than the least integer in T, how much greater is the average (arithmetic mean) of the integers in S than the average of the integers in T ?