If ~$R, S$~, and ~$T$~ are points on a line, and if ~$R$~ is 5 meters from ~$T$~ and 2 meters from ~$S$~, how far is ~$S$~ from ~$T$~?

1. ~$R$~ is between ~$S$~ and ~$T$~.

2. ~$S$~ is to the left of ~$R$~, and ~$T$~ is to the right of ~$R$~.

In the figure above, ~$RST$~ is a triangle with angle measures as shown and ~$PRTQ$~ is a line segment. What is the value of ~$x+y$~?

1. ~$s = 40$~

2. ~$r = 70$~

If m and ~$n$~ are integers, what is the value of ~$m + n$~ ?

1. ~$(x +m)(x+n) = x^2 + 5x + mn$~ and ~$x ≠ 0$~

2. ~$mn$~ = 4 

The figure above represents a box that has the shape of a cube. What is the volume of the box?

1.PR=10cm

2.QT=5~$\sqrt{6}$~ cm

In the figure above, what is the area of region PQRST?

1.PQ=RS

2.PT=QT

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.