Explore topic-wise MCQs in Mathematics.

This section includes 5 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.

1.

In a Boolean Algebra B, for all x, y in B, \[x\wedge (x\vee y)=\]

A. y
B. x
C. 1
D. 0
Answer» C. 1
Discussion
2.

An OR gate is the Boolean function defined of

A. \[f({{x}_{1}},\,{{x}_{2}})={{x}_{1}}\wedge {{x}_{2}};\,\,{{x}_{1}},\,{{x}_{2}}\,\in \,\{0,\,1\}\]
B. \[f({{x}_{1}},\,{{x}_{2}})={{x}_{1}}\vee {{x}_{2}};\,\,{{x}_{1}},\,{{x}_{2}}\,\in \,\{0,\,1\}\]
C. \[f({{x}_{1}},\,{{x}_{2}})={{x}_{1}};\ \,{{x}_{1}},{{x}_{2}}\,\in \,\{0,\,1\}\]
D. \[f({{x}_{1}},\,{{x}_{2}})={{x}_{2}};\ \,{{x}_{1}},\,{{x}_{2}}\,\in \,\{0,\,1\}\]
Answer» C. \[f({{x}_{1}},\,{{x}_{2}})={{x}_{1}};\ \,{{x}_{1}},{{x}_{2}}\,\in \,\{0,\,1\}\]
Discussion
3.

Let B={p, q, r, .....} and let two binary operations be denoted by ?Ú' and ?Ù? or ?+? or ?.?, then

A. \[{0}'=0\]
B. \[{0}'=1\]
C. \[{1}'=1\]
D. None of these
Answer» C. \[{1}'=1\]
Discussion
4.

In Boolean Algebra, the unit element ?1?

A. Has two values
B. Is unique
C. Has at least two values
D. None of these
Answer» C. Has at least two values
Discussion
5.

Dual of \[x\vee (y\wedge x)=x\]is

A. \[x\wedge (y\vee x)=x\]
B. \[x\wedge (y\wedge x)=x\]
C. \[(x\vee y)\wedge (x\vee x)=x\]
D. None of these
Answer» B. \[x\wedge (y\wedge x)=x\]
Discussion