Module 0 - Entry Exam (IFoA_CAA_M0) Practice Test

Questions # 11:

State what the limit of a function with input variable x represents.

Options:

The limit represents the smallest value that the function can take over its considered range.

The limit represents the behaviour of a function as x approaches a certain value.

The limit represents the value of x for which the function is incalculable.

The limit represents the value of the function when x=0.

Questions # 12:

Identify which of the following involves weak inequality.

Question # 12

Options:

Option A

Option B

Option C

Option D

Questions # 13:

Calculate the value of

Question # 13

Options:

259

504

525

725

Questions # 14:

Calculate the mean, median and mode of the above dataset.

Question # 14

Options:

Option A

Option B

Option C

Option D

Questions # 15:

Calculate the sum of the following non-terminating progression:

2/10, 2/40, 2/160, 2/640,...

Options:

0.174

0.266

0.267

0.406

Questions # 16:

Determine and describe the extreme values of f(x,y) = -x2 - xy - 3y2

Options:

(0,1) and a saddle point

(0,0) and a minimum

(0,0) and a maximum

(0.5,-1) and a maximum

Questions # 17:

Identify which of the following statements are true.

I. Skewness measures how peaked a set of data is.

II. Skewness is a measure of asymmetry of the distribution of the data about its mean.

III. For a symmetrically distributed data, the mean equals the median but not necessarily the mode.

IV. The value of a measure of skewness can be positive, zero or negative.

Options:

I and II

II and IV

I and III

II, III and IV

Questions # 18:

Identify the condition that fully describes the existence of independence between two events A and B.

Options:

P(A|B) = P(A)/P(B) and P(B|A) = P(B)/P(A)

P(A|B) = P(A) - P(B) and P(B|A) = P(B) - P(A)

P(A|B) = P(A) and P(B|A) = P(B)

P(A|B) = P(A) + P(B) and P(B|A) = P(B) + P(A)

Questions # 19:

For the following data set, calculate the mean and median.

10, 8, 5, 7, 14, 5, 3, 9, 5, 8

Options:

The mean is 7.4 and the median is 7.5.

The mean is 7.4 and the median is 8.0.

The mean is 8.2 and the median is 7.5.

The mean is 8.2 and the median is 8.0.

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