Entry exam of the Certified Actuarial Analyst qualification (Module-0) Free Practice Test

Question 1

Consider the function f(x)x2 6x=20. This functions has a stationary point at x=3.
Determine the nature of this stationary point and how we know this to be true.

A. It is a maximum stationary point because the value of the function at x = 3 is 11, which is positive.

B. It is a maximum stationary point because the second derivative of the function with respect to x takes the value 2, which is positive.

C. It is a minimum stationary point because the value of the function at x = 3 is 11, which is positive.

D. It is a minimum stationary point because the second derivative of the function with respect to x takes the value 2 which is positive.

Correct Answer: C

Question 2

Suppose A and B are two events and that A denotes the complement of A.
Identify the false statement.
A)

B)

C)

D)

A. Option D

B. Option C

C. Option A

D. Option B

Correct Answer: C

Question 3

A weekly pet insurance premium is given by a solution of the following equation:
4x2-11x-3 = 0
Calculate the premium.

A. -£0.25

B. -£0.75

C. -£3

D. -£1

Correct Answer: C

Question 4

Calculate the single extreme point of the function:

A. (0,4)

B. (1.1)

C. (0,2)

D. (0.1)

Correct Answer: C

Question 5

Determine which of the following function is equal to (2+ x)3

A. 1+ 3x + 3X2+ x3

B. 6+ 3x + 3X2+ x3

C. 8 + 12x + 2X2+ x3

D. 8 + 4x + 2X2+ x3

Correct Answer: C

Question 6

A basketball squad contains 7 players. The team that lines up on the court tor the start of a match contains 5 ofthe players Calculate how many different teams can be fielded from the squad of 7 players

A. 7

B. 21

C. 35

D. 2,520

Correct Answer: B

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CAA Global Entry exam of the Certified Actuarial Analyst qualification (Module-0) Free Practice Test