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
Answer:

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
Answer:

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
Answer:

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
Answer:

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
Answer:

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
Answer:

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
Answer:

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
Answer:

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
Answer:

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
Answer:

C

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