42.

In the equation Y = X^{1.3}, the letter "a" represents a constant.

When X = 1 the value of Y = 2400

The approximate value of Y when X = 2 is:

- 5909

- 4546
- 4800
- 6240

44.

A market research company was commissioned to investigate the possibility of an optimum size for the content of a mail shot. Eight versions of the product description were produced, differing in length. A sample of possible recipients were asked to assess the description on a scale ranging from 'too short' to 'too long'. The numbers who judged the leaflet too long are given below:

Calculate Spearman's rank correction coefficient for this data (to 2 decimal places)

Sample Rank of length Too long "votes" a 1 0 b 2 0 c 3 25 d 4 20 e 5 60 f 6 55 g 7 62 h 8 75

- -0.95

- -0.93
- 0.05
- -0.05

50.

There is a 60% chance that project X will make a profit of �100,000 and a 40% chance of making �80,000 profit.

Project Y will make a profit of either �50,000 or �200,000.

The decision maker uses the expected value criterion.

The probability of project Y making �200,000 profit, that would make the decision maker different between the two projects is:

- 0.56

- 0.72
- 0.28
- 0.46

58.

X minus Y is equal to Z.

Z is also 45% of X

If Y is equal to 1,089 then the value of X is (to the nearest whole number).

62.

There is a linear relationship between Y (the dependent variable) and X (the independent variable)

When Y = 15,000 then X = 10,000 and when Y = 13,750 then X = 12,500

The equation that correctly relates X and Y is:

A. Y = 35,000 - 2X

B. 2Y = 40,000 + X

C. Y = 36,000 + 2X

D. 2Y = 40,000 - X

63.

In a group of 110 CIMA students, 34 are male, 55 are studying for Foundation level exams and 4 of the male students are not studying for Foundation exams. If a student is chosen at random a female, what is the probability that she is not studying foundation level?

Give your answer correct to 2 decimal places.

71.

Sales are linearly related to advertising expenditure.

When no advertising expenditure is incurred, sales are �20,000.

When �15,000 is spent on advertising, sales are �65,000.

The forecast value of sales, when advertising expenditure of �24,000 is incurred is (to the nearest �10)

74.

The three variables J, K and L are related by the equation J = KL

If K and L have estimated values of 1000 and 50 respectively and these are subject to maximum errors of 2 � % and 4% respectively, then the maximum positive error in the value of J, in percentage terms, is:

- 6.4%

- 6.2%
- 6.6%
- 10%

75.

There is a 60% chance the project X will make a profit of �100,000 and a 40% chance of making �60,000 profit.

Project Y will make a profit of either �50,000 or �200,000.

The decision maker uses the expected value criterion.

The probability of project Y making �200,000 profit, that would make the decision maker indifferent between the two projects is:

- 0.46

- 0.56
- 0.23
- 0.72

80.

Selling price is linearly related to the quantity demanded, so that the quantity demanded depends on the selling price set.

When a price of �48 per unit is set there is a zero level of demand. At a price of �33 per unit the demand is 5,000 units.

The forecast demand at a price of �42 per unit is:

- 4,000 units

- 1,000 units
- 3,000 units
- 2,000 units

86.

A contract hire company buys a piece of plant now for �54,000. It is estimated that the plant will contribute �11,000 per annum (received at the end of each year) to profits, for each of six years. The scrap value of the plant at the end of the six years is estimated at �4,500.

Calculate, to two decimal places, the net present value (NPV) of the plant, assuming the interest rate throughout the six year period is 6%.

( I am confused about the treatment for scrap value)

90.

Two functions are as follows:

(1) X = 9 - 0.1Y

(2) Y = 90 - 5X

The following statements relate to these functions as depicted on a graph:

i) Both functions can be represented by straight lines.

ii) Function (1) has gradient which is twice that of function (2)

iii) Function (2)has a gradient which is twice that of function (1)

Which statement(s) is/are true?

A.�������� (i) and (ii) only

B.�������� (iii) only

C.�������� (i) and (iii) only

D.�������� (i) only

92.

The weight of a product is normally distributed with a mean of 200g

39% of total production falls within the weight range of 175g to 225g.

The standard deviation is approximately:

- 40g

- 36g
- 49g
- 96g