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시험 번호/코드: 8002
시험 이름: PRMIA (PRM Certification - Exam II: Mathematical Foundations of Risk Measurement)
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Q&A: 132 문항
업데이트: 2014-02-06
8002는PRMIA의 인증시험입니다.8002인증시험을 패스하면PRMIA인증과 한 발작 더 내디딘 것입니다. 때문에8002시험의 인기는 날마다 더해갑니다.8002시험에 응시하는 분들도 날마다 더 많아지고 있습니다. 하지만8002시험의 통과 율은 아주 낮습니다.8002인증시험준비중인 여러분은 어떤 자료를 준비하였나요?
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NO.1 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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NO.2 For each of the following functions, indicate whether its graph is concave or convex:
Y = 7x2 + 3x + 9
Y = 6 ln(3x)
Y = exp(-4x)
A. concave, concave, concave
B. concave, convex, convex
C. convex, concave, concave
D. convex, convex, concave
Answer: C
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NO.3 Let a, b and c be real numbers. Which of the following statements is true?
A. The commutativity of multiplication is defined by
B. The existence of negatives is defined by
C. The distributivity of multiplication is defined by
D. The associativity of multiplication is defined by
Answer: C
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NO.4 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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NO.5 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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NO.6 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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NO.7 What is the simplest form of this expression: log2(165/2)
A. 10
B. 32
C. 5/2 + log2(16)
D. log2 (5/2) + log2(16)
Answer: A
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NO.8 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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NO.9 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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NO.10 Which of the provided answers solves this system of equations?
2y
3x = 3y +x
y2 + x2 = 68
A. x = 1; y = square root of 67
B. x = 2; y = 8
C. x = 2; y = -8
D. x = -2; y = -8
Answer: C
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NO.11 Which of the following is not a sequence?
A. , , , , , o
B. , , , ,
C. , , , , , ,
D. 30
Answer: D
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NO.12 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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NO.13 You intend to invest $100 000 for five years. Four different interest payment options are available.
Choose the interest option that yields the highest return over the five year period.
A. a lump-sum payment of $22 500 on maturity (in five years)
B. an annually compounded rate of 4.15%
C. a quarterly-compounded rate of 4.1%
D. a continuously-compounded rate of 4%
Answer: C
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NO.14 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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NO.15 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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NO.16 What is the 40th term in the following series: 4, 14, 30, 52, ?
A. 240
B. 4598
C. 4840
D. 4960
Answer: C
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NO.17 Which of the following statements is true?
A. Discrete and continuous compounding produce the same results if the discount rate is positive.
B. Continuous compounding is the better method because it results in higher present values compared to
discrete compounding.
C. Continuous compounding can be thought as making the compounding period infinitesimally small.
D. The constant plays an important role in the mathematical description of continuous compounding.
Answer: C
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NO.18 You invest $100 000 for 3 years at a continuously compounded rate of 3%. At the end of 3 years, you
redeem the investment. Taxes of 22% are applied at the time of redemption. What is your approximate
after-tax profit from the investment, rounded to $10?
A. $9420
B. $7350
C. $7230
D. $7100
Answer: B
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NO.19 Which of the following statements is not correct?
A. Every linear function is also a quadratic function.
B. A function is defined by its domain together with its action.
C. For finite and small domains, the action of a function may be specified by a list.
D. A function is a rule that assigns to every value x at least one value of y.
Answer: D
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NO.20 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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