If ~$p, r$~, and ~$s$~ are consecutive integers in ascending order and ~$x$~ is the average (arithmetic mean) of the three integers, what is the value of ~$x$~?

1. Twice x is equal to the sum of ~$p, r$~, and ~$s$~.

2. The sum of ~$p, r$~, and ~$s$~ is zero.

If a building has 6,000 square meters of floor space, how many offices are in the building?

1.Exactly ~$\frac{1}{4}$~ of the floor space is not used for offices.

2. There are exactly 20 executive offices and each of these occupies 3 times as much floor space as the average for all of the remaining offices.

A noncompressible ball in the shape of a sphere is to be passed through a square opening in a board. What is the perimeter of the opening?

1. The radius of the ball is equal to 2 inches

2. The square opening is the smallest square opening through which the ball will fit.

Is ~$x$~ an integer?

1. ~$x^3$~ = 8

2. x = ~$\sqrt{4}$~

Is the sum of two integers divisible by 10?

1. One of the integers is even.

2. One of the integers is a multiple of 5.

If, in the figure above, ABCD is a rectangular region, what is the value of the ratio ~$ area  of △EDA \over area  of △EBC $~

1.AD=4

2. AE=2 and EB= 4

The 9 squares above are to be filled with ~$x's$~ and ~$o's$~, with only one symbol in each square. How many of the squares will contain an ~$x$~?

1. More than ~$\frac{1}{2}$~ of the number of squares will contain an o.

2. Each of the 4 corner squares will contain an ~$x$~.

A six-sided mosaic contains 24 triangular pieces of tile of the same size and shape, as shown in the figure above. If the sections of tile fit together perfectly, how many square centimeters of tile are in the mosaic?

1. Each side of each triangular piece of tile is 9 centimeters long

2. The mosaic can be put inside a rectangular frame that is 40 centimeters wide

Is the integer ~$P$~ divisible by 5 ?

1. ~$p$~ is divisible by 10.

2. ~$p$~ in not divisible by 15.

In △JKL shown above, what is the length of segment JL ?

1.JK=10

2.KL=5