Self-test Questions


1	Which of the following sets are specified in set builder notation?

		A)	{all firms in the FTSE index}
		B)	{1, 2, 3, 4, …}
		C)	{All wild cats from Africa}
		D)	{All employees of a company}
		E)	{x: x is an integer}

2	A ________ is a pictorial representation of the relationship between sets.

		A)	histogram
		B)	network diagram
		C)	bar chart
		D)	Venn diagram
		E)	matrix

3	Sets A and B are equal if and only if they contain some common elements.

		A)	TRUE
		B)	FALSE

4	What does the expression A∩B signify?

		A)	The set of all elements that are either in set A or set B.
		B)	That set A is bigger then set B.
		C)	The set of all elements common to set A and set B.
		D)	That set A and set B are equal.
		E)	That set A contains set B.

5	If set A and set B are disjoint, then A∩B=Φ

		A)	TRUE
		B)	FALSE

6	Which is the correct expression for the total number of elements in sets A and B [i.e. in (AuB)]?

		A)	n(a) + n(B) - n(A∩B)
		B)	n(AUB) + n(A∩B)
		C)	n(A∩B)
		D)	n(A∩B) - n(a) - n(B)
		E)	n(A) + n(B)

7	What does the expression mean?

		A)
		B)
		C)
		D)
		E)	x!

8	5! = 120

		A)	TRUE
		B)	FALSE

9	If you shortlist 6 candidates from a total of 20, which of the following expressions shows how many possible different shortlists you could have?

		A)
		B)
		C)
		D)
		E)

10	Which of the following equates to

		A)	5! / (5 - 3)! = 120 / 2 = 60
		B)	5! x 3! = 720
		C)	5! / 3! = 20
		D)	(5! x (5 - 3)!) /3! = (120 x 2) / 6 = 40
		E)	5! / (3! x (5 - 3)!) = 120 / (6 x 2) = 120 / 12 = 10

11	Which of the following equates to

		A)	5! - 3! = 120 - 6 = 114
		B)	5! / (5 - 3)! = 120 / 2 = 60
		C)	(5 - 3)! = 2
		D)	5! / 3! = 20
		E)	5! x 3! = 720

12	For permutations, the order of the objects does not matter.

		A)	TRUE
		B)	FALSE

13	What is the relationship between Pascal’s triangle and the expression

		A)	The solution for x for any value of n can be read from the diagonals in Pascal’s triangle.
		B)	Pascal’s triangle provides a simple method for squaring
		C)	The nth row of Pascal’s triangle shows the coefficients of successive coefficients of each power of x when is expanded
		D)	Using Pascal’s triangle it is possible to see the relationship between and 1/n
		E)	All of the above.

14

		A)	TRUE
		B)	FALSE

15	Two staff are chosen from a group of five and allocated to separate jobs. In how many possible ways can this be done?

		A)	5! / (5 - 2)! = 20
		B)	5! x 2! = 240
		C)	5! / (2! x (5 - 2)!) = 10
		D)	5! / 2! = 60
		E)	(5 - 2)! / 2! = 3

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