If x and y are integers between 10 and 99, inclusive, is (x-y)/9 an integer?

(1)x and y have the same two digits, but in reverse order.

(2)The tens' digit of x is 2 more than the units' digit, and the tens' digit of y is 2 less than the umits' digit.

A large flower arrangement contains 3 types of flowers: camations, lilies, and roses. Of all the flowers in the arangement, 1/2 are camations, 1/3 are lilies, and 1/6 are roses. The total price of which of the 3 types of flowers in the arrangement is the greatest?

(1)The prices per flower for camations, lilies, and roses are in the ratio 1: 3: 4, respectively.

(2)The price of one rose is $0.75 more than the price of one camation, and the price of one rose is $0. 25 more than the price of one lily.

A novelist pays her agent 15% of the royalties she receives from her novels. She pays her publicist 5% of the royalties, plus a yearly fee. Did the novelist pay more to her agent last year than she paid to her publicist?

(1)The publicist' s yearly feeis $2,000.

(2)The novelist eamed an average of $3, 500 in royalties last year on each of her novels.

Town X has 50,000 residents, some of whom were bom in Town X. What percent of the residents of Town X were bom in Town X?
(1)Of the male residents of Town X, 40 percent were not bom in Town X.
(2)Of the female residents of Town X, 60 percent were bom in TownX.

 A bank account earned 2% annual interest, compounded daily for as long as the balance was under $1,000, starting when the account was opened. Once the balance reached $1, 000,the account earned 2.5% annual interest, compounded daily until the account was closed. No deposits or withdrawals were made. Was the total amount of interest earned at the 2% rate greater than the total amount earned at the 2.5% rate?

(1)The account earned exactly $25 in interest at the 2.5% rate.

(2)The account was open for exactly three years.

Sprinklers are being installed to water a lawn. Each sprinkler waters in a circle. Can the lawn be watered completely by 4 installed sprinklers?

(1) The lawn is rectangular and its area is 32 square yards.

(2) Each sprinkler can completely water a circular area of lawn with a maximum radius of 2 yards.

In quadrilateral ABCD, is angle BCD a right angle?

(1)Angle ABC is a right angle.

(2)Angle ADC is a right angle.

The figure above shows the dimensions of a square picture frame that was constructed using four identical pieces of frame as shown. If w is the width of each piece of the frame,what is the area of the front surface of each piece?(1 ft=12 inches)

(1)w=3 inches

(2)PQ=~$\sqrt{18}$~  inches

In rectangular region PQRS above, T is a point on side PS. If PS =4, what is the area of region PQRS?

(1)ΔQTR is equilateral.

(2) Segments PT and TS have equal lenth.

When opened and lying flat, a birthday card is in the shape of a regular hexagon. The card must be folded in half along 1 of its diagonals before being placed in an envelope for mailing.Assuming that the thickness of the folded card will not be an issue, will the birthday card fit inside a rectangular envelope that is 4 inches by 9 inches?

(1)Each side of the regular hexagons 4 inches long.

(2)The area of the top surface(which is the same as the area of the bottom surface)of the folded birthday cardis less than 36 square inches.