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.

If w, x, y, and z are the digits of the four-digit number N, a positive integer, what is the remainder
when N is divided by 9?
1) w + x + y + z = 13
2) N + 5 is divisible by 9
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) 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

A piece of wood is cut into three pieces that have lengths in the ratio

x : y : z = 1 : 2 : 3. What is the length x + y + z?
1. x + z = 16
2. x < y < z

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.

David has 26 coins in a jar, and all the coins are dimes and nickels. How many nickels are in the jar?

1. David spent part of the money on a soft drink.
2. The value of the coins is $1.85.

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.

Here G, H, I, J, and K are consecutive whole numbers. When is G×H×I >12?

1. G greater than or equal to 2
2. G is odd

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.