Data Sufficiency

What is the volume of the right circular cylinder X ? (1) The height of X is 20. (2) The base of X has area 25π.

In the figure above, point D is on AC. What is the degree measure of ∠BAC? (1) The measure of ∠BDC is 60° (2) The degree measure of BAC is less than the degree measure of BCD.

What is the value of z in the figure above? (1) x = 50 (2) y = 35

Is the range of the integers 6, 3, y, 4, 5, and x greater than 9? (1) y > 3x (2) y > x > 3

n, 15, 12, 9, 20 What is the value of n in the list above? (1) n> 12 (2) The median of the numbers in the list is 13.

Is 5 x + 2 25 < 1 5 x + 2 25 < 1 ? (1) 5 x < 1 5 x < 1 (2) x < 0 x < 0

If x and y are integers, what is the value of x + y? (1) 3 < ( x + y ) 2 < 4 3 < ( x + y ) 2 < 4 (2) 2 < x < y < 5 2 < x < y < 5

What is the value of w + q ? (1) 3w=3-3q (2) 5w +5q = 5

If [x] denotes the least integer greater than or equal to x, is [x] = 0? (1) -1< x< 1 (2) x < 0

If x + y z > 0 x + y z > 0 , is x<0? (1) x < y (2) z < 0

Does the integer k have at least three different positive prime factors? (1) k/15 is an integer. (2) k/10 is an integer.

What is the value of the integer p ? (1) Each of the integers 2, 3, and 5 is a factor of p. (2) Each of the integers 2, 5, and 7 is a factor of p.

If the units digit of integer n is greater than 2, what is the units digit of n ? (1) The units digit of n is the same as the units digit of n^2. (2) The units digit of n is the same as the units digit of n^3.

If X and Y are points in a plane and X lies inside the circle C with center O and radius 2, does Y lie inside circle C? (1) The length of line segment XY is 3. (2) The length of line segment OY is 1.5.

Last year the average (arithmetic mean) salary of the 10 employees of Company X was $42,800. What is the average salary of the same 10 employees this year? (1) For 8 of the 10 employees, this year's salary is 15 percent greater than last year's salary. (2) For 2 of the 10 employees, this year's salary is the same as last year's salary.

In the xy-plane, if line k has negative slope and passes through the point (-5,r) , is the x-intercept of line k positive? (1) The slope of line k is -5. (2) r > 0

Is the standard deviation of the set of measurements x1, x2, x3, x4, ..., x20 less than 3 ? (1) The variance for the set of measurements is 4. (2) For each measurement, the difference between the mean and that measurement is 2.

Is x = 1/y ? (1) xy = 1 (2) 1/(xy) = 1

If m and n are positive integers, is ( m − − √ ) n ( m ) n an integer? (1) m − − √ m is an integer. (2) n √ n is an integer.

What is the value of w^(−2)? (1) w^(−1) = 1/2 (2) ? (1) w^(−1) = 1/2 (2) w^3 = 8