Deck 29: Set Theory and Enumeration

Question 1

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

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

Answer 1

5

Question 2

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

Answer 2

c + cg

Question 3

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

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

Answer 3

There are no elements that are in both set X and set Y

Question 4

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

Question 5

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

A) A'
B) ∩A
C) ⋃A
D) a

Question 6

What name is given to objects within a set?

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

Question 7

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?

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

Question 8

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

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

Question 9

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?

A) C'
B) S'
C) C⋃S
D) C∩S

Question 10

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

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