Küme Teorisi Quiz

Which of the following is incorrect regarding the set A = {1, 2, {3, 4}, 5}?

• 1 ∈ A

• 2 ∈ A

• 5 ∈ A

• {3, 4} ∈ A

• 8 ∈ A

Which of the following could be the representation of the set {5, 10, 17, 26} using the common property method?

• {x : 4 < x < 27, x = 5k, k ∈ Z}

• {x : 4 < x < 27, x = 2k + 3, k ∈ Z}

• {x : 4 < x < 27, x = k^2 + 1, k ∈ Z}

• {x : 4 < x < 27, x = k^3, k ∈ Z}

• {x : 4 < x < 27, x = 5k + 5, k ∈ Z}

In the figure, A, B, and C sets are given. What does the shaded area represent?

• A ∩ B ∩ C

• (A ∩ B) ∪ C

• (A ∪ B) – C

• (A ∩ B) – (A ∩ B ∩ C)

• (A – B) ∩ C

Given s(A – B) = 2 . s(B – A) and s(A ∩ B) = 10, what is s(A)?

• 18

• 20

• 24

• 26

• 30

If A = (3, 15] and B = (10, 20), what is the set A - B?

• (3, 20)

• (3, 10)

• (3, 10]

• (15, 20)

• [15, 20)

What is the number of elements in the set (A ∪ B) ∩ Z, where Z is the set of integers?

• (3, 10]

• (15, 20)

• [15, 20)

How many elements are in the set A - B?

Which of the following is not an empty set?

• {x : 5 < x^2 < 8, x ∈ R}

• {x : – 8 < |x| < – 1, x ∈ Z}

• {x : 13 < x < 17 and x is prime}

• 10 people born on different days of the week

• {x : 3 < x < 4, x ∈ N}

How many of the following statements are true regarding the set A = {1, {2}, 3, 4}?

• 1

• 2

• 3

• 4

• 5

How many elements does a set have if it has 32 subsets?