Bowls X and Y each contained exactly 2 jelly beans,each of which was either red or black.One of the jelly beans in Bowl X was exchanged with one of the jelly beans in Bowl Y.After the exchange,were both of the jelly beans in Bowl X black?

(1)Before the exchange,Bowl X contained 2 black jelly beans.

(2)After the exchange,Bowl Y contained 1 jelly bean of each color.

The cardinality of a finite set is the number of elements in the set. What is the cardinality of setA?

(1)2 is the cardinality of exactly 6 subsets of set A.

(2)Set A has a total of 16 subsets,including the empty set and set A itself.

If ~$x$~ is a number in the list above,what is the median of the list?

1.~$x>7$~

2.The median of the list equals the arithmetic mean of the list.

If a merchant purchased a sofa from a manufacturer for $400 and then sold it, what was the selling price of the sofa?

1. The selling price of the sofa was greater than 140 percent of the purchase price.

2. The merchant's gross profit from the purchase and sale of the sofa was  ~$1 \over 3$~of the selling price

A certain list, L, contains a total of n numbers, not necessarily distinct that are arranged in increasing order. If~$ L_1$~ is the list consisting of the first ~$n_1$~, numbers in L and ~$L_2$~  is the list consisting of the last ~$n_2$~, numbers in L ,is 17 a mode for L ? 

1. 17 is a mode for ~$L_1$~ , and 17 is a mode for ~$L_2$~

2.~$n_1$~+~$n_2$~=n

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