[Math Center]

1.

Quantity A Quantity B
The number of prime numbers divisible by \(\)2\(\) The number of prime numbers divisible by \(\)3\(\)

 

2. Which one of the following equals the product of exactly two prime numbers?

(A) \(\)11*6\(\)
(B) \(\)13*22\(\)
(C) \(\)14*23\(\)
(D) \(\)17*21\(\)
(E) \(\)13*23\(\)

 

3. Which one of the following equals the product of the smallest prime number greater than \(\)21\(\) and the largest prime number less than \(\)16\(\)?

(A) \(\)13*16\(\)
(B) \(\)13*29\(\)
(C) \(\)13*23\(\)
(D) \(\)15*23\(\)
(E) \(\)16*21\(\)

 

4.  If \(\)x + 3\(\) is positive, then which one of the following must be positive?

(A) \(\)x-3\(\)
(B) \(\)(x-3)(x-4)\(\)
(C) \(\)(x-3)(x + 3)\(\)
(D) \(\)(x -3)(x + 4)\(\)
(E) \(\)(x + 3)(x + 6)\(\)

 

5. The smallest prime number greater than \(\)48\(\) is

(A) \(\)49\(\)
(B) \(\)50\(\)
(C) \(\)51\(\)
(D) \(\)52\(\)
(E) \(\)53\(\)

 

6.  If \(\)g\(\) is an integer and \(\)x\(\) is a prime number, which of the following must be an integer?
Indicate all such expressions.

(A) \(\)\frac { { g }^{ 2 }x+5gx }{ x }\(\)
(B) \(\){ g }^{ 2 }-{ x }^{ 2 }\left( \frac { 1 }{ 3 }\right)\(\)
(C) \(\)6\left( \frac { g }{ 2 }\right) -100{ \left(\frac { g }{ 2 }\right) }^{ 2 }=\(\)

 

7.

Quantity A Quantity B
The average of \(\)x\(\) and \(\)2y\(\) \(\)4z + x-2y\(\)

 

8.

Quantity A Quantity B
The least prime number greater than \(\)24\(\) The greatest prime number less than \(\)28\(\)

 

 

 

Answer:

1 C
2 E
3 C
4 E
5 E
6 A and C
7 B
8 A