Question 1/37: If k is negative, which of the following must also be negative?

Question 2/37: On Saturday morning, Malachi will begin a camping vacation and he will return home at the end of the first day on which it rains. If on the first three days of the vacation the probability of rain on each day is 0.2, what is the probability that Malachi will return home at the end of the day on the following Monday?

Question 3/37: Each of the 45 boxes on shelf J weighs less than each of the 44 boxes on shelf K. What is the median weight of the 89 boxes on these shelves?
(1) The heaviest box on shelf J weighs 15 pounds.
(2) The lightest box on shelf K weighs 20 pounds.

Question 4/37: What is the total value of Company H’s stock?
(1) Investor P owns 38% of the shares of Company H’s total stock.
(2) The total value of Investor Q’s shares of Company H’s stock is 16,000.

Question 5/37: If (y+3)(y-1) – (y-2)(y-1)=r(y-1), what is the value of y ?
(1) r² = 25
(2) r = 5

Question 6/37: If x and k are integers and (12^x)(4^2x+1)=(2^k)(3²), what is the value of k ?

Question 7/37: A thin piece of wire 40 meters long is cut into two pieces. One piece is used to form a circle with radius r, and the other is used to form a square. No wire is left over. Which of the following represents the total area, in square meters, of the circular and the square regions in terms of r ?

Question 8/37: If r is a constant and a_n = r*n for all positive integers n, for how many values of n is a_n<100?
(1) a₅₀=500
(2) a₁₀₀+a₁₀₅=2,050

Question 9/37: If the length of a certain rectangle is 2 greater than the width of the rectangle, what is the perimeter of the rectangle?
(1) The length of each diagonal of the rectangle is 10.
(2) The area of the rectangular region is 48.

Question 10/37: A certain dealership has a number of cars to be sold by its salespeople. How many cars are to be sold?
(1) If each of the salespeople sales 4 of the cars, 23 cars will remain unsold.
(2) If each of the salespeople sales 6 of the cars, 5 cars will remain unsold.

Question 11/37: A certain farmer pays $30 per acre per month to rent farmland. How much does the farmer pay per month to rent a rectangular plot of farmland that is 360 feet by 605 feet? (43,560 square feet =1 acre)

Question 12/37: How many seconds will it take for a car that is traveling at a constant rate of 45 miles per hour to travel a distance of 220 yards? (1 mile =1,760 yards)

Question 13/37: If n and k are positive integers, is n/k an even integer?
(1) n is divisible by 8.
(2) k is divisible by 4.

Question 14/37: If n is a positive integer and r is the remainder when (n-1)(n+1) is divided by 24, what is the value of r ?
(1) 2 is not a factor of n.
(2) 3 is not a factor of n.

Question 15/37:

The table above shows the number of days worked by a certain sales representative in each of three months last year. If the number of sales calls that the representative made each month was proportional to the number of days worked in that month and if the representative made a total of 168 sales calls in the three months shown, how many sales calls did the representative make in August?

Question 16/37:

In the triangle above, is x > 90 ?
(1) a² + b² < 15
(2) c > 4

Question 17/37: On a recent trip, Mary drove 50 miles. What was the average speed at which she drove the 50 miles?
(1) She drove 30 miles at an average speed of 60 miles per hour and then drove the remaining 20 miles at an average speed of 50 miles per hour.
(2) She drove a total of 54 minutes.

Question 18/37: If a company allocates 15 percent of its budget to advertising, 10 percent to capital improvements, and 55 percent to salaries, what fraction of its budget remains for other allocations?

Question 19/37: If –1 < h < 0, which of the following has the greatest value?

Question 20/37: A glass was filled with 10 ounces of water, and 0.01 ounce of the water evaporated each day during a twenty-day period. What percent of the original amount of water evaporated during this period?

Question 21/37: In the xy-plane, what is the slope of the line with equation 3x+7y=9?

Question 22/30: (n-x) + (n-y) + (n-c) + (n-k)
What is the value of the expression above?
(1) The average (arithmetic mean) of x, y, c, and k is n.
(2) x, y, c, and k are consecutive integers.

Question 23/37: If f is the function defined for all k by f(k)=k⁵/16, what is f(2k) in terms of f(k)?

Question 24/37: If x and y are integers and x>0, is y>0?
(1) 7x – 2y > 0
(2) -y < x

Question 25/37: Each week a certain salesman is made a fixed amount equal to $300 plus a commission equal to 5 percent of the amount of these sales that week over $1,000. What is the total amount the salesman was paid last week?
(1) The total amount the salesman was paid last week is equal to 10 percent of the amount of these sales last week.
(2) The salesman’s sales last week total $5,000.

Question 26/37:

Question 26/37:

In the rectangular solid above, the three sides shown have areas 12,15, and 20, respectively. What is the volume of the solid?

Question 27/37: If S is a set of ten consecutive integers, is the integer 5∈S?
(1) The integer –3 is in S.
(2) The integer 4 is in S.

Question 28/37: If Line k in the xy-plane has equation y = mx +b, where m and b are constants, what is the slope of k ?
(1) k is parallel to the line with equation y = (1-m)x + b + 1.
(2) k intersects the line with equation y = 2x + 3 at the point (2,7).

Question 29/37:In June 1989, what was the ratio of the number of sales transactions made by Salesperson X to the number of sales transactions made by Salesperson Y?
(1) In June 1989, Salesperson X made 50 percent more sales transactions than Salesperson Y did in May 1989.
(2) In June 1989, Salesperson Y made 25 percent more sales transactions than in May 1989.

Question 30/37: If M is the least common multiple of 90,196, and 300, which of the following is NOT a factor of M ?

Question 31/37: If k/60125 = 0.001, what is the units digit of k ?

Question 32/37: A family-size box of cereal contains more cereal and costs more than the regular-size box of cereal. What is the cost per ounce of the family-size box of cereal?
(1) The family-size box of cereal contains 10 ounces more than the regular-size box of cereal.
(2) The family-size box of cereal costs 5.40.

Question 33/37: A certain roller coaster has 3 cars, and a passenger is equally likely to ride in any 1 of the 3 cars each time that passenger rides the roller coaster. If a certain passenger is to ride the roller coaster 3 times, what is the probability that the passenger will ride in each of the 3 cars?

Question 34/37: If x and y are positive, is 4x > 3y?
(1) x > y-x
(2) x/y < 1

Question 35/37: A total of $60,000 was invested for one year. But of this amount earned simple annual interest at the rate of x percent per year, and the rest earned simple annual interest at the rate of y percent per year. If the total interest earned by the $60,000 for that year was $4,080, what is the value of x?
(1) x=(3/4)y
(2) The ratio of the amount that earned interest at the rate of x percent per year to the amount that earned interest at the rate of y percent per year was 3 to 2.

Question 36/37: If n is the product of the integers from1 to 20 inclusive, what is the greatest integer k for which 2^k is a factor of n?

Question 37/37: A circular mat with diameter 20 inches is placed on a square tabletop, each of whose sides is 24 inches long. Which of the following is closest to the fraction of the tabletop covered by the mat?