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

1. 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 A
B) Option B
C) Option C
D) Option D

2. Calculate the determinant of the product of the matrices given below:

A) -60
B) -440
C) -78
D) -0 00227

3. Let a and b be two positive numbers and let m and n be two positive integers.
Identify which of the followingequalities is false.
A)

B)

C)

D)

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

4. Identify which of the following statements about statistical measures for a set of data is false.

A) The range is always greater than or equal to zero.
B) The sample variance is always smaller than or equal to the largest value.
C) The range can be greater than the largest value.
D) The sample variance is always greater than or equal to zero.

5. Consider the following definite integral:

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

B)

C)

D)

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

Solutions: