The total cost of an office dinner was shared equally by k of the n employees who attended the dinner. What was the total cost of the dinner?

(1) Each of the k employees who shared the cost of the dinner paid $19.

(2) If the total cost of the dinner had been shared equally by k + 1 of the n employees who attended the dinner, each of the k + 1 employees would have paid $18.

If x and y are integers, what is the value of x ?

(1) xy= 1

(2) x ≠ -1

During a certain bicycle ride, was Sherry's average speed faster than 24 kilometers per hour?

(1 kilometer = 1,000 meters)

(1) Sherry's average speed during the bicycle ride was faster than 7 meters per second.

(2) Sherry's average speed during the bicycle ride was slower than 8 meters per second.

Is the median of the five numbers a, b, c, d, and e equal to d ?

(1) a < c < e

(2) b < d < c

If x is a positive integer, what is the value of x ?

(1)x² = ~$\sqrt{x}$~

(2)~$n \over x$~ =n and n≠ 0.

If J, S, and V are points on the number line, what is the distance between S and V ?

(1)The distance between J and S is 20.

(2)The distance between J and V is 25.

In the figure shown, quadrilateral ABCD is inscribed in a circle of radius 5. What is the perimeter of quadrilateral ABCD ?

(1) The length of AB is 6 and the length of CD is 8.

(2) AC is a diameter of the circle.

Of the 230 single-family homes built in City X last year, how many were occupied at the end of the year?

(1) Of all single-family homes in City X, 90 percent were occupied at the end of last year.(2) A total of 7,200 single-family homes in City X were occupied at the end of last year.

What is the volume of the cube above?

(1) The surface area of the cube is 600 square inches.

(2)The length of diagonal AB is 10~$\sqrt{3}$~ inches.

When the wind speed is 9 miles per hour, the wind-chill factor w is given by w = -17.366 + 1.19t, where t is the temperature in degrees Fahrenheit. If at noon yesterday the wind speed was 9 miles per hour, was the wind-chill factor greater than 0 ?

(1) The temperature at noon yesterday was greater than 10 degrees Fahrenheit.

(2) The temperature at noon yesterday was less than 20 degrees Fahrenheit.