QR20 PS 31 to 40

A rope 20.6 meters long is cut into two pieces. If the length of one piece of rope is 2.8 meters shorter than the length of the other, what is the length, in meters, of the longer piece of rope?

PS07380

If x and y are integers and x − y is odd, which of the following must be true?

I. xy is even.

II. x² + y² is odd.

III. (x + y)² is even.

PS01120

On Monday, the opening price of a certain stock was $100 per share and its closing price was $110 per share. On Tuesday the closing price of the stock was 10 percent less than its closing price on Monday, and on Wednesday the closing price of the stock was 4 percent greater than its closing price on Tuesday. What was the approximate percent change in the price of the stock from its opening price on Monday to its closing price on Wednesday?

PS00335

In the rectangular coordinate system shown above, points O, P, and Q represent the sites of three proposed housing developments. If a fire station can be built at any point in the coordinate system, at which point would it be equidistant from all three developments?

PS05109

What is the perimeter, in meters, of a rectangular garden 6 meters wide that has the same area as a rectangular playground 16 meters long and 12 meters wide?

PS05008

1 − 0.000001 =

PS00918

|−4|(|−20| − |5|) =

PS04362

Of the total amount that Jill spent on a shopping trip, excluding taxes, she spent 50 percent on clothing, 20 percent on food, and 30 percent on other items. If Jill paid a 4 percent tax on the clothing, no tax on the food, and an 8 percent tax on all other items, then the total tax that she paid was what percent of the total amount that she spent, excluding taxes?

PS12934

How many integers x satisfy both 2<x≤4 and 0≤x≤3 ?

PS15469

At the opening of a trading day at a certain stock exchange, the price per share of stock ABC was $120.  If the price per share of stock ABC was $125 at the closing of the day, what was the approximate percent increase in the price per share of stock ABC for that day?

PS09322