For each landscaping job that takes more than 4 hours, a certain contractor charges a total of r dollars for the first 4 hours plus 0.2r dollars for each additional hour or fraction of an hour, where r > 100. Did a particular landscaping job take more than 10 hours?

(1) The contractor charged a total of $288 for the job.

(2) The contractor charged a total of 2.4r dollars for the job.

The sequence s₁, s₂, s₃, ..., s_n, ... is such that ~$s_n=\frac{1}{n}-\frac{1}{n+1}$~for all integers n ≥ 1. If K is a positive integer, is the sum of the first k terms of the sequence greater than ~$\frac{9}{10}$~ ?

(1) k > 10

(2) k < 19

If x and y are nonzero integers, is~$ x ^y< y^x$~ ?

(1)~$ x = y^2$~

(2) y > 2

In the sequence S of numbers, each term after the first two terms is the sum of the two immediately preceding terms. What is the 5th term of S ?

(1) The 6th term of S minus the 4th term equals 5.

(2) The 6th term of S plus the 7th term equals 21.

Is the positive integer n a multiple of 24 ?

(1) n is a multiple of 4.

(2) n is a multiple of 6.

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