MHT CET · Maths · Mathematical Reasoning
In a Boolean Algebra \(B\), for all \(x\), \(y\) in \(B\), \(x \wedge(x \vee y)\) is equal to
- A \(y\)
- B \(x\)
- C 1
- D 0
Answer & Solution
Correct Answer
(B) \(x\)
Step-by-step Solution
Detailed explanation
\(x \wedge(x \vee y)\)
\(=(x \wedge x) \vee(x \wedge y)\) by distribution law'
\(=x \vee(x \wedge y)\) 'by idempotent law'
\(=(x \vee f)\) 'by contradiction law'
\(=x\)
\(=(x \wedge x) \vee(x \wedge y)\) by distribution law'
\(=x \vee(x \wedge y)\) 'by idempotent law'
\(=(x \vee f)\) 'by contradiction law'
\(=x\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- A man \(P\) has 7 friends, 4 of them are ladies and 3 are men, His wife \(Q\) also has 7 friends, 3 of them are ladies and 4 are men. Assume \(P\) and \(Q\) have no common friends. Then the total number of ways in which \(P\) and \(Q\) together can throw a party inviting 3 ladies and 3 men, so that 3 friends of each of \(P\) and \(Q\) are in this party, is __________.MHT CET 2022 Hard
- The intearrati the differential equation \(\left(1+x^{2}\right) d t=\left(\tan ^{-1} x-t\right) d x\)MHT CET 2020 Easy
- A particle moves according to the law \(s=t^{3}-6 t^{2}+9 t+25 .\) The displacement ofMHT CET 2020 Easy
- Let \(\mathrm{A}=\left[\begin{array}{ccc}1 & 1 & 1 \\ 0 & 1 & 3 \\ 1 & -2 & 1\end{array}\right], \mathrm{B}=\left[\begin{array}{c}6 \\ 11 \\ 0\end{array}\right]\) and \(\mathrm{X}-\left[\begin{array}{l}\mathrm{a} \\ \mathrm{b} \\ \mathrm{c}\end{array}\right]\), if \(\mathrm{AX}=\mathrm{B}\), then the value of \(2 \mathrm{a}+\mathrm{b}+2 \mathrm{c}\) isMHT CET 2023 Medium
- The area bounded by the curve \(y=x^{3}\), the \(\mathrm{X}\) -axis and the lines \(x=1\) and \(x=4\) isMHT CET 2020 Easy
- Given p: A man is a judge, q: A man is honest If \(\mathrm{S} 1\) : If a man is a judge, then he is honest S2: If a man is a judge, then he is not honest S3: A man is not a judge or he is honest S4: A man is a judge and he is honest ThenMHT CET 2021 Easy
More PYQs from MHT CET
- A bakerman sells 5 types of cakes. Profit due to sale of each type of cake is respectively Rs 2 , Rs 2.5 , Rs 3, Rs 1.5 and Rs 1 . The demands for these cakes are \(20 \%, 5 \%, 10 \%\) and \(15 \%\) respectively, then the expected profit per cake isMHT CET 2021 Easy
- In diploid set of chromosomes, deletion or addition of a chromosome leads toMHT CET 2016 Easy
- Which pair of metal ions from following have same number of unpaired electrons?MHT CET 2024 Medium
- In lac operon, the switching on or switching off of the operator is achieved by _________ .MHT CET 2022 Medium
- Find the expected value of \(\Delta \mathrm{T}_{\mathrm{b}}\) for \(1 \mathrm{~m} \mathrm{~Al~Cl}_3\) solution in water if solution of nonelectrolyte of same concentration has \(\Delta \mathrm{T}_{\mathrm{b}}\) value ' \(x\) ' KMHT CET 2025 Medium
- The maximum value of subject to and isMHT CET 2018 Hard