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CAA Global Entry exam of the Certified Actuarial Analyst qualification Sample Questions:

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 minimum stationary point because the value of the function at x = 3 is 11, which is positive.
B) It is a minimum stationary point because the second derivative of the function with respect to x takes the value 2 which is positive.
C) It is a maximum stationary point because the value of the function at x = 3 is 11, which is positive.
D) It is a maximum stationary point because the second derivative of the function with respect to x takes the value 2, which is positive.

2. Let X be a random variable.
identify which of the following statements is correct.
A)

B)

C)

D)

A) Option B
B) Option C
C) Option A
D) Option D

3. 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) 2,520
B) 35
C) 21
D) 7

4. Identify which of the following non-terminating geometric series converge, for values of x such that 1 < x < 2.

A) II, III and IV
B) II and IV
C) I and IV
D) I, II and IV

5. Determine the binomial expansion of (2x-X2)3.

A) -x6+3x5-3x4+x3
B) -x6+2x5-4x4+8x3
C) -x8+2xa-4x4+8x3
D) -X6+8x3

Solutions: