204

If p is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which $$3^k$$ is a factor of p?

205

If $$n = 3^{8}  2^{8}$$, which of the following is NOT a factor of n ?

206

In the figure shown, if the area of the shaded region is 3 times the area of the smaller circular region, then the circumference of the larger circle is how many times the circumference of the smaller circle?

207

Club X has more than 10 but fewer than 40 members. Sometimes the members sit at tables with 3 members at one table and 4 members at each of the other tables, and sometimes they sit at tables with 3 members at one table and 5 members at each of the other tables. If they sit at tables with 6 members at each table except one and fewer than 6 members at that one table, how many members will be at the table that has fewer than 6 members?

208

In order to complete a reading assignment on time, Terry planned to read 90 pages per day. However, she read only 75 pages per day at first, leaving 690 pages to be read during the last 6 days before the assignment was to be completed. How many days in all did Terry have to complete the assignment on time?

209

if $$s >0$$ and $$\sqrt{\frac{r}S}=s$$,what is r in terms of s ?

210

If 3 < x < 100, for how many values of x is $$\frac{x}{3}$$the square of a prime number?

211

A researcher plans to identify each participant in a certain medical experiment with a code consisting of either a single letter or a pair of distinct letters written in alphabetical order. What is the least number of letters that can be used if there are 12 participants, and each participant is to receive a different code?

212

The graph of which of the following equations is a straight line that is parallel to line l in the figure above?

213

An object thrown directly upward is at a height of h feet after t seconds, where $${h}={16}({t}{3})^{2}+{150}$$. At what height, in feet, is the object 2 seconds after it reaches its maximum height?

214

Which of the following is equivalent to the pair of inequalities x + 6>10 and $$x3\le5$$

215

David has d books, which is 3 times as many as Jeff and $$\frac{1}{2}$$ as many as Paula. How many books do the three of them have altogether, in terms of d

216

There are 8 teams in a certain league and each team plays each of the other teams exactly once. If each game is played by 2 teams, what is the total number of games played?

217

At his regular hourly rate, Don had estimated the labor cost of a repair job as $336 and he was paid that amount. However, the job took 4 hours longer than he had estimated and, consequently, he earned $2 per hour less than his regular hourly rate. What was the time Don had estimated for the job, in hours?

218

if $$\frac{p}{q}$$<1, and p and q are positive integers, which of the following must be greater than 1 ?

219

To mail a package, the rate is x cents for the first pound and y cents for each additional pound, where x > y. Two packages weighing 3 pounds and 5 pounds, respectively, can be mailed separately or combined as one package. Which method is cheaper, and how much money is saved?

220

If money is invested at r percent interest, compounded annually, the amount of the investment will double in approximately $$\frac{70}{r}$$ years. If Pat's parents invested $5,000 in a longterm bond that pays 8 percent interest, compounded annually, what will be the approximate total amount of the investment 18 years later, when Pat is ready for college?

221

On a recent trip, Cindy drove her car 290 miles, rounded to the nearest 10 miles, and used 12 gallons of gasoline, rounded to the nearest gallon. The actual number of miles per gallon that Cindy's car got on this trip must have been between

222

Which of the following inequalities is an algebraic expression for the shaded part of the number line above?

223

In a small snack shop, the average (arithmetic mean) revenue was $400 per day over a 10day period. During this period, if the average daily revenue was $360 for the first 6 days, what was the average daily revenue for the last 4 days?
