If S is a set of odd integers and 3 and -1 are in ~$S$~ , is -15 in ~$S$~ ?

1. 5 is in ~$S$~.

2.Whenever two numbers are in ~$S$~, their product is in ~$S$~.

Is the average (arithmetic mean) of the numbers ~$x$~, ~$y$~, and ~$z$~ greater than ~$z$~?

1.~$z-x

A certain painting job requires a mixture of yellow,green,and white paint.If 12 quarts of paint are needed for the job ,how many quarts of green paint are needed?

1.The ratio of the amount of green paint to the amount of yellow and white paint combined needs to be 1 to 3

2.The ratio of the amount of yellow paint to the amount of green  paint  needs to be 3 to 2

In the figure above, ~$△PQR$~ has angle measures as shown. Is ~$x < y$~?

1. ~$PQ =QR$~

2. ~$PR > QR$~

If ~$x$~ is an integer greater than o，what is the remainder when x is divided by 4?

1.The remainder is 3 when ~$x+1$~ is divided by 4.

2.The remainder is o when ~$2x$~ is divided by 4.

On a scale drawing, a rectangle 1 inch by 1~$\frac{1}{3}$~ inches represents the floor of a room and the indicated scale is 1 inch equals 15 feet. How many square tiles 6 inches on a side will be needed to cover this floor? (1 foot= 12 inches)

In the floor plan of an executive's beach house above, the north and south walls of the living room are parallel. what is the floor area, in square feet, of the bedroom?

Three-fourths of the area of a rectangular lawn 30 feet wide by 4o feet long is to be enclosed by a rectangular fence. If the enclosure has full width and reduced length rather than full length and reduced width, how much less fence will be needed?

If rectangle ABCD is inscribed in the circle above, what is the area of the circular region?

If ~$r$~ and ~$s$~ are positive integers, is  ~$r$~ + ~$s$~ even?

1. ~$r$~ is even.

2. ~$s$~ is even.