244

From the consecutive integers 10 to 10, inclusive, 20 integers are randomly chosen with repetitions allowed. What is the least possible value of the product of the 20 integers?

245

The letters D, G, I, I, and T can be used to form 5letter strings such as DIGIT or DGIIT. Using these letters, how many 5letter strings can be formed in which the two occurrences of the letter I are separated by least one other letter?

246

$${\frac{0.99999999}{1.0001}}{\frac{0.99999991}{1.0003}}=$$

247

Last Sunday a certain store sold copies of Newspaper A for $1.00 each and copies of Newspaper B for $1.25 each, and the store sold no other newspapers that day. If r percent of the store`s revenues from newspaper sales was from Newspaper A and if p percent of the newspapers that the store sold were copies of newspaper A, which of the following expresses r in terms of p?

248

For the past n days, the average (arithmetic mean) daily production at a company was 50 units. If today's production of 90 units raises the average to 55 units per day, what is the value of n ?

249

In the coordinate system above, which of the following is the equation of line ￡ ?

250

If a twodigit positive integer has its digits reversed, the resulting integer differs from the original by 27. By how much do the two digits differ?

251

In an electric circuit, two resistors with resistances x and y are connected in parallel. In this case, if r is the combined resistance of these two resistors, then the reciprocal of r is equal to the sum of the reciprocals of x and y. What is r in terms of x and y ?

252

Xavier, Yvonne, and Zelda each try independently to solve a problem. If their individual probabilities for success are $$\frac{1}{4}$$, $$\frac{1}{2}$$ and $$\frac{5}{8}$$ respectively, what is the probability that Xavier and Yvonne, but not Zelda, will solve the problem?

253

if $$\frac{1}{x}\frac{1}{x+1}=\frac{1}{x+4}$$ then x could be

254

$$(\frac{1}{2})^{3}(\frac{1}{4})^{2}(\frac{1}{16})^{1}=$$

255

The figure shown above consists of a shaded 9sided polygon 9 unshaded isosceles triangles. For each isosceles triangle, the longest side is a side of the shaded polygon and the two sides of equal length are extensions of the two adjacent sides of the shaded polygon. What is the value of a?

256

List T consists of 30 positive decimals, none of which is an integer, and the sum of the 30 decimals is S. The estimated sum of the 30 decimals, £, is defined as follows. Each decimal in T whose tenths digit is even is rounded up to the nearest integer, and each decimal in T whose tenths digit is odd is rounded down to the nearest integer; E is the sum of the resulting integers. If $$\frac{1}{3}$$ of the decimals in T have a tenths digit that is even, which of the following is a possible value of E  S ?I.16II.6III.10

257

If $$5\frac{6}{x}=x$$ then x has how many possible values?

258

Seed mixture X is 40 percent ryegrass and 60 percent bluegrass by weight; seed mixture Y is 25 percent ryegrass and 75 percent fescue. If a mixture of X and Y contains 30 percent ryegrass, what percent of the weight of the mixture is X ?

259

In the figure above, ABCD is a parallelogram and E is the midpoint of side AD. The area of triangular region ABE is what fraction of the area of quadrilateral region BCDE?

260

How many of the integers that satisfy the inequality $${\frac{(x+2)(x+3)}{x2}}\ge{0}$$ are less than 5 ?

261

Of the 150 houses in a certain development, 60 percent have air  conditioning, 50 percent have a sunporch, and 30 percent have a swimming pool. If 5 of the houses have all three of these amenities and 5 have none of them, how many of the houses have exactly two of these amenities?

262

The value of $$\frac{({2}^{14}+{2}^{15}+{2}^{16}+{2}^{17})}{5}$$ is how many times the value of$${2}^{17}$$?
