What is the value of the integer x ?

(1) x rounded to the nearest hundred is 7,200.

(2) The hundreds digit of x is 2.

If 75 percent of the guests at a certain banquet ordered dessert, what percent of the guests ordered coffee?

(1) 60 percent of the guests who ordered dessert also ordered coffee.

(2) 90 percent of the guests who ordered coffee also ordered dessert.

A framed picture is shown above. The frame, shown shaded, is 6 inches wide and forms a border of uniform width around the picture. What are the dimensions of the viewable portion of the picture?

(1) The area of the shaded region is 24 square inches.

(2) The frame is 8 inches tall.

A tank containing water started to leak. Did the tank contain more than 30 gallons of water when it started to leak? (Note: 1 gallon = 128 ounces)

(1) The water leaked from the tank at a constant rate of 6.4 ounces per minute.

(2) The tank became empty less than 12 hours after it started to leak.

What is the tenths digit of the number d when it is written as a decimal?

(1) d=~$54 \over 25$~

(2) 1,000d = 2,160

If x is an integer, is y an integer?

(1) The average (arithmetic mean) of x, y, and y - 2 is x.

(2) The average (arithmetic mean) of x and y is not an integer.

If 2 different representatives are to be selected at random from a group of 10 employees and if p is the probability that both representatives selected will be women, is p > ~$\frac{1}{2}$~ ?

(1) More than ~$\frac{1}{2}$~ of the 10 employees are women.

(2) The probability that both representatives selected will be men is less than ~$\frac{1}{10}$~

In the xy-plane, lines k and l intersect at the point (1,1). Is the y-intercept of k greater than the y-intercept of l ?

(1) The slope of k is less than the slope of l.

(2) The slope of l is positive.

Each of the 45 books on a shelf is written either in English or in Spanish, and each of the books is either a hardcover book or a paperback. If a book is to be selected at random from the books on the shelf, is the probability less than~$\frac{1}{2}$~that the book selected will be a paperback written in Spanish?

(1)Of the books on the shelf, 30 are paperbacks.

(2) Of the books on the shelf, 15 are written in Spanish.

A small school has three foreign language classes, one in French, one in Spanish, and one in German. How many of the 34 students enrolled in the Spanish class are also enrolled in the French class?

(1)There are 27 students enrolled in the French class, and 49 students enrolled in either the French class, the Spanish class, or both of these classes.

(2) One-half of the students enrolled in the Spanish class are enrolled in more than one foreign language class.