The mean (average) of w, x, and y is z. Is z = w?

1. 1/2(x + y) = w
2. w = 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. EACH statement ALONE is sufficient.
E. Statements 1 and 2 TOGETHER are NOT sufficient.

What is the standard deviation (SD) of the four numbers p, q, r, s?

1. The sum of p, q, r and s is 24
2. The sum of the squares of p, q, r and s is 224

A. Statement 1 alone is sufficient but statement 2 alone is not sufficient to answer the question asked.
B. Statement 2 alone is sufficient but statement 1 alone is not sufficient to answer the question asked.
C. Both statements 1 and 2 together are sufficient to answer the question but neither statement is sufficient alone.
D. Each statement alone is sufficient to answer the question.
E. Statements 1 and 2 are not sufficient to answer the question asked and additional data is needed to answer the statements.

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John traveled 80% of the way from Yellow-town to Green-fields by train at an average speed of 80 miles per hour. The rest of the way John traveled by car at an average speed of v miles per hour. If the average speed for the entire trip was 60 miles per hour, what is v in miles per hour?
(a) 30
(b) 40
(c) 50
(d) 55
(e) 70

If #X =3X for all odd numbers and #Y = Y/2 for all even numbers. What will be the value of #9*# 6

A) 81
B) 27
C) 64
D) 51
E) 279

If a code word is defined to be a sequence of different letters chosen from the 10 letters A, B, C, D, E, F, G, H, I, and J, what is the ratio of the number of 5-letter code words to the number of 4-letter code words?

A) 5 to 4
B) 3 to 2
C) 2 to 1
D) 5 to 1
E) 6 to 1

On the real number line, there are four points P, Q, S, and T, with coordinates p, q, s, and t, respectively. Suppose p < q < s < t, p = -1, s = 2. If the distance between P and Q is twice the distance between Q and S, and S is the midpoint of Q and T, then T has coordinate

A) 0
B) 1
C) 2
D) 3
E) 4

A certain culture of bacteria quadruples every hour. If a container with these bacteria was half full at 10:00 a.m., at what time was it one-eighth full?

(A) 9:00 a.m.
(B) 7:00 a.m.
(C) 6:00 a.m.
(D) 4:00 a.m.
(E) 2:00 a.m.

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