Data Sufficiency

If x is negative, is x < –3 ? (1) x^2 > 9 (2) x^3 < –9

What is the sum of a certain pair of consecutive odd integers? (1) At least one of the integers is negative. (2) At least one of the integers is positive.

S is a set of points in the plane. How many distinct triangles can be drawn that have three of the points in S as vertices? (1) The number of distinct points in S is 5. (2) No three of the points in S are collinear.

In cross section, a tunnel that carries one lane of one-way traffic is a semicircle with radius 4.2 m. Is the tunnel large enough to accommodate the truck that is approaching the entrance to the tunnel? (1) The maximum width of the truck is 2.4 m (2) The maximum height of the truck is 4 m

If n is an integer, is ( 0.1 ) n ( 0.1 ) n greater than ( 10 ) n ( 10 ) n ? (1) n > − 10 n > − 10 (2) n < 10 n < 10

A certain truck uses 1 12 + k v 2 1 12 + k v 2 gallons of fuel per mile when its speed is v miles per hour, where k is a constant. At what speed should the truck travel so that it uses 5 12 5 12 gallon of fuel per mile? (1) The value of k is 1 10800 1 10800 . (2) When the truck travels at 30 miles per hour, it uses 1/6 gallon of fuel per mile.

A certain investment earned a fixed rate of 4 percent interest per year, compounded annually, for five years. The interest earned for the third year of the investment was how many dollars greater than that for the first year? (1) The amount of the investment at the beginning of the second year was $4,160.00. (2) The amount of the investment at the beginning of the third year was $4,326.40.

If a, b, c, and d, are positive numbers, is a b < c d a b < c d ? (1) 0 < ( c − a ) ( d − b ) 0 < ( c − a ) ( d − b ) (2) ( a d b c ) 2 < ( a d ) ( b c ) ( a d b c ) 2 < ( a d ) ( b c )

The sum of 4 different odd integers is 64. What is the value of the greatest of these integers? (1) The integers are consecutive odd numbers (2) Of these integers, the greatest is 6 more than the least.

If r > 0 and s > 0, is r/s < s/r? (1) r/(3s) = 1/4 (2) s = r + 4

George has a total of B books in his library, 25 of which are hardcover fiction books. What is the value of B? (1) 40 of the B books are fiction and the rest are nonfiction (2) 60 of the B books are hardcovers and the rest are paperbacks

If r and s are the roots of the equation x^2 + bx + c = 0, where b and c are constants, is rs < 0 ? (1) b < 0 (2) c < 0

If p, r, and s are consecutive integers in ascending order and x is the average (arithmetic mean) of the three integers, what is the value of x ? (1) Twice x is equal to the sum of p, r, and s. (2) The sum of p, r, and s is zero.

Square ABCD is inscribed in circle O. What is the area of square region ABCD? (1) The area of circular region O is 64π. (2) The circumference of circle O is 16π.

Of the four numbers represented on the number line above, is r closest to zero? (1) q = –s (2) –t < q

If 2.00X and 3.00Y are 2 numbers in decimal form with thousandths digits X and Y, is 3(2.00X) > 2(3.00Y) ? (1) 3X < 2Y (2) X < Y − 3

If r and t are three-digit positive integers, is r greater than t ? (1) The tens digit of r is greater than each of the three digits of t . (2) The tens digit of r is less than either of the other two digits of r .

What is the number of cans that can be packed in a certain carton? (1) The interior volume of this carton is 2,304 cubic inches. (2) The exterior of each can is 6 inches high and has a diameter of 4 inches.

If a and b are integers, is a 5 < 4 b a 5 < 4 b ? (1) a 3 = – 27 a 3 = – 27 (2) b 2 = 16 b 2 = 16

Is the average (arithmetic mean) of the numbers x, y, and z greater than z ? (1) z − x < y − z (2) x < z < y