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) $19$

1 B
2 C,D,F
3 B
4 E
5 A
6 B
7 B
8 D
9 A
10 D