请选出正确答案,共10题,每题10分,满分100分:

1. A number’s prime factors are 2, 5, 7, 13and 31. Which of the following must be a factor of the number?

A) 4

B) 6

C) 10

D) 15

E) 25

2. 2.If a + b = 0, then |a| = |b|.
If a and b are real numbers, which of the following can be inferred from the statement above?

A) If |a| = |b|, then a + b = 0.

B) If |a| ≠ |b|, then a + b ≠ 0.

C) If a + b ≠ 0, then |a| ≠ |b|

D) If a - b ≠ 0, then |a| ≠ |b|

E) If |a| ≠ |b|, then a - b = 0.

3. 3.A = {-10, -5, -3, -1, 0, 1, 3, 5, 10}
The elements of Set A, shown above, are multiplied by 2 to get Set B. Which of the following is true about Set B?

A) The mean of B is greater than the mean of A.

B) The median of B is greater than the median of A.

C) The median of B is less than the median of A.

D) The standard deviation of B is equal to the standard deviation of A.

E) The standard deviation of B is exactly twice the standard deviation of A.

4. If matrix A has dimensions 2 by 7 and matrix B has dimensions 7 by 5, what are the dimensions of the product matrix BA?

A) 2 by 2

B) 2 by 5

C) 5 by 2

D) 7 by 7

E) The product BA does not exist.

5. What is the surface area of the cube inscribed in a sphere with the radius of 8?

A) 85.3

B) 512.0

C) 768.0

D) 788.3

E) 804.3

6. The parametric equations x = cos(2t) + 1 and y = 3sin(t) + 2 correspond to a subset of the graph

A) $$$\frac{(x-1)^2}{1}+\frac{(y-2)^2}{9}=1$$$

B) $$$\frac{(x-1)^2}{1}-\frac{(y-2)^2}{9}=1$$$

C) $$${x-2}=\frac{2}{9}(y-2)^2$$$

D) $$${x-2}=-\frac{2}{9}(y-2)^2$$$

E) $$${x-2}=-\frac{2}{3}(y-2)$$$

7. $$$\frac{20cis(\frac{19π}{18})}{5cis(\frac{2π}{9})}$$$=

A) $$${-2\sqrt{3}+2i}$$$

B) $$$-{2\sqrt{3}-2i}$$$

C) $$${2\sqrt{3}+2i}$$$

D) $$${-2+2i\sqrt{3}}$$$

E) $$${2-2i\sqrt{3}}$$$

8.

A) -5

B) 5

C) 24

D) -∞

E) ∞

9. If $$$\frac{3}{x}-\frac{4}{y}+\frac{2}{z}=33$$$,$$$\frac{2}{x}-\frac{8}{y}-\frac{1}{z}=-8$$$,$$$\frac{4}{x}-\frac{6}{y}-\frac{3}{z}=11$$$
Then $$$\frac{1}{x-y+z}=$$$

A) 2/25

B) 30/31

C) 31/30

D) 19/2

E) 25/2

10. The slope of the line normal to the graph of $$$y=2ln(sec$$$ $$$x)$$$ at $$$x=\frac{π}{4}$$$ is

A) -2

B) -1/2

C) 1/2

D) 2

E) DNE

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