Data Sufficiency

Lines k and m are parallel to each other. Is the slope of line k positive? (1) Line k passes through the point (3, (2) . (2) Line m passes through the point (-3, 2).

Which of the positive numbers x or y is greater? (1) y = 2x (2) 2x + 5y = 12

What number is 6 more than x + y ? (1) y is 3 less than x. (2) y is twice x.

The 9 squares above are to be filled with x's and o's, with only one symbol in each square. How many of the squares will contain an x ? (1) More than 1/2 of the number of squares will contain an o. (2) Each of the 4 corner squares will contain an x.

In the figure above, if the area of triangular region D is 4, what is the length of a side of square region A ? (1) The area of square region B is 9. (2) The area of square region C is 64/9.

On the number line, point R has coordinate r and point T has coordinate t. Is t < 0? (1) -1 < r < 0 (2) The distance between R and T is equal to r^2

In the figure above, ΔPQR has angle measures as shown. Is x < y ? (1) PQ = QR (2) PR > QR

If x = 2t and y = t/3, what is the value of x^2 – y^2? (1) t^2 – 3 = 6 (2) t^3 = −27

For a certain car repair, the total charge consisted of a charge for parts, a charge for labor, and a 6 percent sales tax on both the charge for parts and the charge for labor. If the charge for parts, excluding sales tax, was $50.00, what was the total charge for the repair? (1) The sales tax on the charge for labor was $9.60. (2) The total sales tax was $12.60.

If all of the six faces of a concrete block are rectangular, what is the volume of the block? (1) Each of the four lateral faces of the block has an area of 200 square inches. (2) The top of the block is square and has an area of 400 square inches.

The figure above represents a box that has the shape of a cube. What is the volume of the box? (1) PR = 10 cm (2) Q T = 5 6 √ Q T = 5 6 cm

Is the area of the triangular region above less than 20? (1) x^2 + y^2≠ z^2 (2) x + y < 13

Is the product of two positive integers x and y divisible by the sum of x and of y ? (1) x=y (2) x=2

If a and b are integers, is a + b + 3 an odd integer? (1) ab is an odd integer. (2) a − b is an even integer.

Is the integer p divisible by 5 ? (1) p is divisible by 10. (2) p is not divisible by 15.

If each side of parallelogram P has length 1, what is the area of P ? (1) One angle of P measures 45 degrees. (2) The altitude of P is 2 √ 2 2 2 .

The figure above shows the circular cross section of a concrete water pipe. If the inside radius of the pipe is r feet and the outside radius of the pipe is t feet, what is the value of r ? (1) The ratio of t - r to r is 0.15 and t - r is equal to 0.3 foot. (2) The area of the concrete in the cross section is 1.29π square feet.

If the 1st term of a sequence is 0 and the 2nd term is 1, is the 5th term 2 ? (1) Each odd-numbered term is either 0 or 2. (2) The 3rd term is 2.

If R, S, and T are points on a line, and if R is 5 meters from T and 2 meters from S, how far is S from T ? (1) R is between S and T. (2) S is to the left of R, and T is to the right of R.

Is the sum of four particular integers even? (1) Two of the integers are odd and two are even. (2) The average (arithmetic mean) of the four integers is an integer.