Question 1

What name is given to objects within a set?

Accepted Answer

A)  items 
B)  variables 
C)  components 
D)  elements 
A)  items 
B)  variables 
C)  components 
D)  elements D

Question 2

A software company in Athens, Greece employs 24 staff, 7 of the 14 members of staff that speak Arabic are employed in sales. 9 members of the sales team do not speak Arabic. How many people in the company neither speak Arabic nor work in sales?

Accepted Answer

A)  1 
B)  2 
C)  3 
D)  4 
A)  1 
B)  2 
C)  3 
D)  4 A

Question 3

Calculate b if a = 3, ab = 5, $ = 6 and there are a total of 22 elements in A and B together.

Accepted Answer

A)  4 
B)  5 
C)  6 
D)  7 
A)  4 
B)  5 
C)  6 
D)  7 C

Question 4

What is the number of the set A, if A = {v,w,x,y,z}

Accepted Answer

A)  3 
B)  4 
C)  5 
D)  6 
A)  3 
B)  4 
C)  5 
D)  6

Question 5

A clothing manufacturer in Bangladesh classifies its products in 3 ways: C - for cotton items; T - for t-shirts; and G - for green items. Which of the following formulae calculates the number of cotton items of any colour but that are not t-shirts?

Accepted Answer

A)  c + cg 
B)  c + cg + g 
C)  c + cg + cgt 
D)  c + cg - t 
A)  c + cg 
B)  c + cg + g 
C)  c + cg + cgt 
D)  c + cg - t

Question 6

A firm in Nigeria has 5 factories (F = {1,2,3,4,5}) 3 are in Lagos (L = {1,4,5) and 2 are in Abuja (A = {2,3}). Which of the formulae below is correct?

Accepted Answer

A)  F = L∩A 
B)  F = L⋃A 
C)  F = L' 
D)  F = A' 
A)  F = L∩A 
B)  F = L⋃A 
C)  F = L' 
D)  F = A'

Question 7

A car company makes cars in 3 colours (C = {red, green, black}) and in 2 styles (S = {3-door, 5-door}).The 3-door model is the only car available in red. Which of the formulae represent red, 3-door cars?

Accepted Answer

A)  C' 
B)  S' 
C)  C⋃S 
D)  C∩S 
A)  C' 
B)  S' 
C)  C⋃S 
D)  C∩S

Question 8

What is the correct notation for 'the complement of the set X'?

Accepted Answer

A)  A' 
B)  ∩A 
C)  ⋃A 
D)  a 
A)  A' 
B)  ∩A 
C)  ⋃A 
D)  a

Question 9

Which of the following options is NOT a subset of A, if A = {a,b,c,d,e}?

Accepted Answer

A)  B = {b,c,e} 
B)  C = {a,c,d} 
C)  D = {f, g} 
D)  E = {a,d,e} 
A)  B = {b,c,e} 
B)  C = {a,c,d} 
C)  D = {f, g} 
D)  E = {a,d,e}

Question 10

Which of the following statements about sets X and Y is correct if n[X∩Y] = 0?

Accepted Answer

A)  Neither set X nor set Y have any elements in them 
B)  There are no elements that are in both set X and set Y 
C)  All elements are in set X and set Y 
D)  All elements are in set X or set Y 
A)  Neither set X nor set Y have any elements in them 
B)  There are no elements that are in both set X and set Y 
C)  All elements are in set X and set Y 
D)  All elements are in set X or set Y

Exam 29: Set Theory and Enumeration

What name is given to objects within a set?

A software company in Athens, Greece employs 24 staff, 7 of the 14 members of staff that speak Arabic are employed in sales. 9 members of the sales team do not speak Arabic. How many people in the company neither speak Arabic nor work in sales?

Calculate b if a = 3, ab = 5, $ = 6 and there are a total of 22 elements in A and B together.

What is the number of the set A, if A = {v,w,x,y,z}

A clothing manufacturer in Bangladesh classifies its products in 3 ways: C - for cotton items; T - for t-shirts; and G - for green items. Which of the following formulae calculates the number of cotton items of any colour but that are not t-shirts?

A firm in Nigeria has 5 factories (F = {1,2,3,4,5}) 3 are in Lagos (L = {1,4,5) and 2 are in Abuja (A = {2,3}). Which of the formulae below is correct?

A car company makes cars in 3 colours (C = {red, green, black}) and in 2 styles (S = {3-door, 5-door}).The 3-door model is the only car available in red. Which of the formulae represent red, 3-door cars?

What is the correct notation for 'the complement of the set X'?

Which of the following options is NOT a subset of A, if A = {a,b,c,d,e}?

Which of the following statements about sets X and Y is correct if n[X∩Y] = 0?

Introduction to Business Mathematics and Statistics

Sampling and Data Collection

Data and Their Accuracy

Frequency Distributions and Charts

General Charts and Graphs

Arithmetic Mean

Median

Mode and Other Measures of Location

Measures of Dispersion and Skewness

Standard Deviation

Quantiles and the Quartile Deviation

Linear Functions and Graphs

Regression Techniques

Correlation Techniques

Time Series Model

Time Series Trend

Seasonal Variation and Forecasting

Index Relatives

Composite Index Numbers

Special Published Indices

Interest and Depreciation

Present Value and Investment Appraisal

Annuities

Functions and Graphs

Linear Equations

Quadratic and Cubic Equations

Differentiation and Integration

Cost, Revenue and Profit Functions

Introduction to Probability

Conditional Probability and Expectation

Combinations and Permutations

Binomial and Poisson Distributions

Normal Distribution

Linear Inequalities

Matrices

Inventory Control

Network Planning and Analysis

Filters