1. If 1+x+{ x }^{ 2 }+{ x }^{ 3 }=60 then the average (arithmetic mean) of x,{ x }^{ 2 },{ x }^{ 3 },{ x }^{ 4 } is equal to which of the following?

A 12x
B 15x 
C 20x 
D 30x 
E 60x

2. 0 < x < 2

 Quantity A Quantity B { x }^{ 2 } \sqrt { x }

3. x > y > 0

 Quantity A Quantity B x-y \frac{ x }{ 3 }+\frac{ y }{ 3 }

4. If a, b, and c are not equal to 0 or 1 and if { a }^{ x }= b, { b }^{ y }= c, and { c }^{ z }= a, then xyz =

(A) 0
(B) 1
(C) 2
(D) a
(E) abc

5. If x = { 10 }^{ 1.4 }, y = { 10 }^{ 0.7 }, and { x }^{ z } = { y }^{ 3 }, then what is the value of z ?

(A) 0.5
(B) 0.66
(C) 1.5
(D) 2
(E) 3

6. A perfect square is a positive integer which when square rooted results in an integer. If N={ 3 }^{ 4 } *{ 5 }^{ 3 }*7, then what is the biggest perfect square that is a factor of N ?

(A) { 3 }^{ 2 }
(B) { 5 }^{ 2 }
(C) { 9 }^{ 2 }
(D) { (9*5) }^{ 2 }
(E) { (3*5*7) }^{ 2 }

7. In which one of the following choices must p be greater than q?

(A) { 0.9 }^{ p } = { 0.9 }^{ q }
(B) { 0.9 }^{ p } = { 0.9 }^{ 2q }
(C) { 0.9 }^{ p }>{ 0.9 }^{ q }
(D) { 9 }^{ p } < { 9 }^{ q }
(E) { 9 }^{ p } > { 9 }^{ q }

8.

 Quantity A Quantity B { x({ x }^{ 2 }) }^{ 4 } { ({ x }^{ 3 }) }^{ 3 }