# PRMIA 8002 online test

## Mathematical Foundations of Risk Measurement :II Exam

### What students need to know about the 8002 exam

• Total 132 Questions & Answers

##### Question 1

For a quadratic equation, which of the following is FALSE?

• A. If the discriminant is negative, there are no real solutions
• B. If the discriminant is zero, there is only one solution
• C. If the discriminant is negative there are two different real solutions
• D. If the discriminant is positive there are two different real solutions

C

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##### Question 2

The natural logarithm of x is:

• A. the inverse function of exp(x)
• B. log(e)
• C. always greater than x, for x>0
• D. 46

A

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##### Question 3

When a number is written with a fraction as an exponent, such as , which of the following is the
correct computation?

• A. Take the square-root of 75 and raise it to the 5th power
• B. Divide 75 by 2, then raise it to the 5th power
• C. Multiply 75 by 2.5
• D. Square 75, then take the fifth root of it

A

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##### Question 4

You invest \$2m in a bank savings account with a constant interest rate of 5% p.a. What is the value of
the investment in 2 years time if interest is compounded quarterly?

• A. \$2,208,972
• B. \$2,210,342
• C. \$2.205,000
• D. None of them

A

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##### Question 5

Solve the simultaneous linear equations: x + 2y - 2 = 0 and y - 3x = 8

• A. x = 1, y = 0.5
• B. x = -2, y = 2
• C. x = 2, y = 0
• D. None of the above

B

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##### Question 6

Find the roots, if they exist in the real numbers, of the quadratic equation

• A. 4 and -2
• B. -4 and 2
• C. 1 and 0
• D. No real roots

D

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##### Question 7

The sum of the infinite series 1+1/2+1/3+1/4+1/5+.... equals:

• A. 12
• B. Infinity
• C. 128
• D. 20

B

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##### Question 8

Which of the following properties is exhibited by multiplication, but not by addition?

• A. associativity
• B. commutativity
• C. distributivity
• D. invertibility

C

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##### Question 9

Identify the type and common element (that is, common ratio or common difference) of the
following sequence: 6, 12, 24

• A. arithmetic sequence, common difference 2
• B. arithmetic sequence, common ratio 2
• C. geometric sequence, common ratio 2
• D. geometric sequence, common ratio 3

C

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##### Question 10

What is the sum of the first 20 terms of this sequence: 3, 5, 9, 17, 33, 65,…?

• A. 1 048 574
• B. 1 048 595
• C. 2 097 170
• D. 2 097 172