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QUESTION NO:11

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

QUESTION NO:13

5

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

QUESTION NO:15

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

6

QUESTION NO:12

For each of the following functions, indicate whether its graph is concave or convex:

Y = 7×2 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

QUESTION NO:7

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

3

A. 12

B. Infinity

C. 128

D. 20

Answer: B

QUESTION NO: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

QUESTION NO:10

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

A. 1 048 574

4

B. 1 048 595

C. 2 097 170

D. 2 097 172

Answer: C

QUESTION NO:4

2

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

QUESTION NO:14

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

QUESTION NO: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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