1.

 Quantity A Quantity B { 950 }^{ 2000 } { 10 }^{ 2000 }

2. Which of the following integers are multiples of both 2 and 3 ?
Indicate all such integers.

(A) 8
(B) 9
(C) 12
(D) 18
(E) 21
(F) 36

3. If \frac { 1 }{ \left( { 2 }^{ 11 } \right) \left( { 5 }^{ 17 } \right) } is expressed as a terminating decimal, how many nonzero digits will the decimal have?

(A) 1
(B) 2
(C) 4
(D) 6
(E) 11

4.  What is the least positive integer that is not a factor of and is not a 25! prime number? 

(A) 26
(B) 28
(C) 36
(D) 56
(E) 58

5.  If the least common multiple of m and n is 24, then what is the first integer larger than 3070 that is divisible by both m and n?

(A) 3072
(B) 3078
(C) 3084  
(D) 3088
(E) 3094

6. If x is divisible by both 3 and 4, then the number x must be a multiple of which one of the following?

(A) 8
(B) 12
(C) 15
(D) 18
(E) 21

7.

 Quantity A Quantity B The first number larger than 300 that is a multiple of both 6 and 8 324

8.

 Quantity A Quantity B Least common multiple of the two positive integers m and n mn

9.  Let P stand for the product of the first 5 positive integers.  What is the greatest possible value of m if \frac{ P }{ { 10 }^{ m } } is an integer?

(A) 1
(B) 2
(C) 3
(D) 5
(E) 10

10. What is the greatest prime factor of  ({ 2 }^{ 4 })^{ 2 }-1?

(A) 3
(B) 5
(C) 11
(D) 17
(E) 19