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.

a, b, c, and d are consecutive integers and a < b < c < d. If the product of b, c, and d is twice that of a, b, and c, then bc = ?

A. 2

B.6

C.12

D.20

E.30

Jeffrey has a bag of marbles. The bag contains 6 red, 6 yellow, 12 green, and 12 blue marbles. It contains no other marbles.
What is the probability that a marble chosen at random will be either red or yellow?

A. 1/6            B. 1/3           C. 1/2              D. 2/3                  E. 3/4

What is the value of x?

(1) x > 9
(2) x < 11

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.

How many positive integers exist between 10^6 and 10^7, the sum of whose digits equal to 2 ?

A) 5
B) 6
C) 7
D) 8
E) 18

Color X ink is created by blending red, blue, green, and yellow inks in the ratio 6 : 5 : 2 : 2) What is the number of liters of green ink that was used to create a certain batch of color X ink?
(1) The amount of red ink used to create the batch is 2 liters more than the amount of blue ink used to create the batch.
(2) The batch consists of 30 liters of color X ink.

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