[Math Center]

1.

Quantity A Quantity B
The number of prime numbers divisible by [latex]2[latex] The number of prime numbers divisible by [latex]3[latex]

 

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

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

 

3. Which one of the following equals the product of the smallest prime number greater than [latex]21[latex] and the largest prime number less than [latex]16[latex]?

(A) [latex]13*16[latex]
(B) [latex]13*29[latex]
(C) [latex]13*23[latex]
(D) [latex]15*23[latex]
(E) [latex]16*21[latex]

 

4.  If [latex]x + 3[latex] is positive, then which one of the following must be positive?

(A) [latex]x-3[latex]
(B) [latex](x-3)(x-4)[latex]
(C) [latex](x-3)(x + 3)[latex]
(D) [latex](x -3)(x + 4)[latex]
(E) [latex](x + 3)(x + 6)[latex]

 

5. The smallest prime number greater than [latex]48[latex] is

(A) [latex]49[latex]
(B) [latex]50[latex]
(C) [latex]51[latex]
(D) [latex]52[latex]
(E) [latex]53[latex]

 

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

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

 

7.

Quantity A Quantity B
The average of [latex]x[latex] and [latex]2y[latex] [latex]4z + x-2y[latex]

 

8.

Quantity A Quantity B
The least prime number greater than [latex]24[latex] The greatest prime number less than [latex]28[latex]

 

 

 

Answer:

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