If x and y are distinct positive integers, what is the value of x^4 – y^4?
1) (y^2 + x^2)(y + x)(x – y) = 240
2) xy = yx and x > y
A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D) E ACH statement ALONE is sufficient.
E) Statement (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and
additional data are needed.

Ben needs to form a committee of 3 from a group of 8 engineers to study design improvements for a product. If two of the engineers are too inexperienced to serve together on the committee, how many different committees can Ben form?
A. 20
B. 30
C. 50
D. 56
E. 336

A certain consulting firm employs 8 men and 4 women. In March, 3 employees are selected at random to represent the company at a convention. What is the probability that the representatives will NOT all be men?

A. 14/55
B. 3/8
C. 41/55
D. 2/3
E. 54/55

If –2 < a < 11 and 3 < b < 12, then which of the following is NOT true?
A. 1 < a + b < 23
B. –14 < a – b < 8
C. –7 < b – a < 14
D. 1 < b + a < 23
E. –24 < ab < 132

If m > 0, y > 0, and x is m percent of 2y, then, in terms of y, m is what percent of x?

A. y/200
B. 2y
C. 50y
D. 50/y
E. 5000/y

A car dealership has 40 cars on the lot, 30% of which are silver. If the dealership receives a new shipment of 80 cars, 40% of which are not silver, what percent of the total number of cars are silver?

A.  35%

B. 37.5%

C. 45%

D. 47.5%

E. 50%

Is quadrilateral MNPQ a rectangle?

(1) At least two of the four angles are right angles.
(2) At least three of the four angles are right angles.

A. Statement 1 ALONE is sufficient but statement 2 alone is not sufficient.
B. Statement 2 ALONE is sufficient but statement 1 alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements 1 and 2 TOGETHER are NOT sufficient.

What is the value of x?

(1) |x| = 4
(2) x^2 – 16 = 0

A. Statement 1 ALONE is sufficient but statement 2 alone is not sufficient.
B. Statement 2 ALONE is sufficient but statement 1 alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements 1 and 2 TOGETHER are NOT sufficient.