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IFoA_CAA_M0 Questions and Answers

Question # 6

Determine which of the statements is true about the root(s) of the following equation:

 

A.

There is only one real root which takes a positive value.

B.

There is only one real root which takes a negative value.

C.

There are two real roots, r1 and r2, where r1 is positive and:

r1 = - 0.5 r2

D.

There are two real roots, r1 and r2, where r1 is positive and:

r1 = - 2 r2

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Question # 7

A coin is tossed 7 times.

 

Calculate the number of possible combinations that gives 4 heads and 3 tails.

A.

35

B.

42

C.

210

D.

840

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Question # 8

A geometric series is given by

 

 

 Identify the values of x for which the series converges.

A.

 -1 ≤ x ≤ 1

B.

 -1 < x < 1

C.

 -5 < x < 5

D.

 -5 ≤ x ≤ 5

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Question # 9

Three light bulbs are chosen at random from 15 bulbs of which 5 are known to be defective.

 

Calculate the probability that exactly one of the three is defective.

A)

B)

C)

D)

A.

Option A

B.

Option B

C.

Option C

D.

Option D

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