If r,s and t are all positive integers, what is the remainder of 2^P/10,  if p=rst ?

(1) s is even

(2) p=4t

•  A) If statement 1 alone is sufficient to answer the question, but statement 2 alone is not sufficient.
• (B) If statement 2 alone is sufficient to answer the question, but statement 1 alone is not sufficient.
• (C) If both statements together are needed to answer the question, but neither statement alone is sufficient.
• (D) If either statement by itself is sufficient to answer the question.
• (E) If not enough facts are given to answer the question.

If m is an integer, is m positive ?

(1) 5m-10>0
(2) (m^3)-m>0

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.

If r>t and r<1 and rt=1, then which one of the following must be true ?

A) r>0 and t<-1
B) r>-1 and t<-1
C) r<-1 and t<-1
D) r<1 and t>1
E) r>1 and t<0

If x, y, and k are positive numbers such that (X/(X+Y))(10) + (Y/(X+Y))(20)=k and if x is less than y, which of the following could be the value of k?
A. 10
B. 12
C. 15
D.  18
E.  30

If k is a positive constant and y = |x – k| – |x + k|, what is the maximum value of y? (Contributed by JR)

(1) x < 0
(2) k = 3

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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