A rectangular solid has length, width, and height of L cm, W cm, and H cm, respectively. If these dimensions are increased by x%,y% and z% , respectively, what is the percentage increase in the total surface area of the solid?

1. L, W, and H are in the ratios of 5: 3: 4

2.x=5,y=10,z=20

Is ~$x=y$~?

1. ~$2x \over 3$~- ~$y \over 3$~= ~$1 \over 3$~

2. ~$x \over 4$~- ~$y \over 4$~=0

The length, width, and height of a rectangular box, in centimeters, are L, W and H. If the volume of this box is V cubic centimeters and the total area of the 6 sides of this box is A square centimeters,what is the value of   ~$V \over A$~

1. At least 2 of L, W, and H are equal to 5.

2. L, W, and H all have the same value.

If 2.00 X and 3.00 Y are 2 numbers in decimal form with thousandths digits X and Y, is 3(2.00 X)>2(3.00 Y)?

1. 3 X<2 Y

A pentagon with 5 sides of equal length and 5 interior angles of equal measure is inscribed in a circle. Is the perimeter of the pentagon  greater than 26 centimeters?

1. The area of the circle is 16π  square centimeters

2. The length of each diagonal of the pentagon is less than 8 centimeters

Three roommates-Bela, Gyorgy, and Janos-together saved money for a trip. The amount that Bela saved was equal to 8% of his monthly income. The amount that Gyorgy saved was exactly ~$1 \over 3$~ of the total amount saved by all 3 roommates. what was the total amount saved for the trip by all 3 roommates?

1. Bela had a monthly income of $2,000

2. Janos saved 1.5 times as much for the trip as Bela

If a and b are constants, is the expression ~$x+b \over \sqrt{x+a}$~ defined for x=-2?

1.a=5

2.b=6

A paint mixture was formed by mixing exactly 3 colors of paint. By volume, the mixture was x% blue paint, y%  green paint, and z%  red paint. If exactly 1 gallon of blue paint and 3 gallons of red paint were used, how many gallons of green paint were used?

1.~$x=y$~

2.~$z=60$~

In the figure above, PQRT is a rectangle. what is the length of segment PQ?

1. The area of region PQRS is 39 and TS=6

2. The area of region PQRT is 30 and QR=10

If ~$x$~ and ~$y$~ are the lengths of the legs of a right triangle, what is the value of ~$xy$~?

1. The hypotenuse of the triangle is 10 ~$\sqrt{2}$~

2. The area of the triangular region is 50