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

1. Differentiate with respect to X:

A)

B)

C)

D)

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

2. Identify which of the following statements about the mean of a data set is correct.

A) It is a measure of the central tendency of the data.
B) It is a measure of the range of the data.
C) It is a measure of the variability of the data.
D) It is a measure of the spread of the data.

3. The volume of a cone can be determined by summing up the infinitesimal circular cross-sections of the cone across the length of the cone Consider the function f(x) = x2 for x contained in [0,1].

Now consider an infinitesimal circular cross-sectional element of width dx and radius r = f(x) Determine the volume of the cone enclosedby the function f(x) by considering the volume of each circular cross-sectional element (Recall thatthe sum of infinitesimal elements can be represented as an integral Recall also that the area of a

circle is
A)

B)

C)

D)
1

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

4. Consider the following definite integral:

Determine for which combination of a and b the integral converges.
A)

B)

C)

D)

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

5.
Calculate the minimum value of f.

A) -0.25
B) 0.00
C) -0.75
D) -0.50

Solutions: