D116 Exam 1 Practice Questions with Correct Answers Latest Update 2025

D116 Exam 1 Practice Questions with Correct Answers Latest Update 2025

A⊂B

A = {d,e,f,1,2}

What is (𝑨 ∩ 𝑩)? - Answers {d,e,f,1,2}

U = {a,b,c,d,e,f}

A = {a,b,c}

B = {c,d,e}

C = {d,e,f}

Compute 𝑨 ∪ (𝑩 ∪ 𝑪)′

Compute 𝐴′ ∩ (𝐵 ∩ 𝐶′) - Answers 𝑨 ∪ (𝑩 ∪ 𝑪)′ = {a,b,c}

𝐴′ ∩ (𝐵 ∩ 𝐶′) = {} or ∅

A = {a, b}

B = {b, c, d}

Compute AxB

Compute BxA

Compute (AxB)∩(BxA) - Answers AxB = {(a,b),(a,c),(a,d),(b,b),(b,c),(b,d)}

BxA = {(b,a),(b,b),(c,a),(c,b),(d,a),(d,b)}

(AxB)∩(BxA) = {(b,b)}

80 fish from the Bikini Bottom are interviewed.

60 fish like the Krusty Krab

10 fish like the Chum Bucket

5 fish like both the Krusty Krab and the Chum Bucket

How many fish like neither the Krusty Krab nor the Chum Bucket? - Answers 15

A universal set U contains two disjoint subsets, A and B, with n(U)=70, n(A)=32, and n(B)=18. What is
n(A'∩B') ? - Answers 20

Two sets, A and B, are subsets of a universal set U.