MHT CET · Maths · Mathematical Reasoning
If the truth value of the expression \([(p \vee q) \wedge(q \rightarrow r) \wedge(\sim r)] \rightarrow(p \wedge q)\) is False then truth values of \(p, q, r\) are respectively.
- A T, T, T
- B T, F, F
- C F, F, F
- D F, T, T
Answer & Solution
Correct Answer
(B) T, F, F
Step-by-step Solution
Detailed explanation
\((p \vee q) \wedge (q \rightarrow r) \wedge (\sim r)] \rightarrow (p \wedge q) = F\) \((p \vee q) \wedge (q \rightarrow r) \wedge (\sim r) = T\) and \((p \wedge q) = F\)
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
- If \(\int \frac{\sqrt{1-x^2}}{x^4} \mathrm{~d} x=\mathrm{A}(x)\left(\sqrt{1-x^2}\right)^{\mathrm{m}}+\mathrm{c}\) for a suitable chosen integer \(\mathrm{m}\) and a function \(\mathrm{A}(x)\), where \(\mathrm{c}\) is a constant of integration, then \((\mathrm{A}(x))^{\mathrm{m}}\) equalsMHT CET 2023 Hard
- \(\tan \left(\cos ^{-1}\left(\frac{4}{5}\right)+\tan ^{-1}\left(\frac{2}{3}\right)\right)=\)MHT CET 2021 Medium
- A random variable \(X\) has following p.d.f.
\(\mathrm{f}(\mathrm{x})=\mathrm{k} x(1-x), 0 \leqslant x \leqslant 1\)
and \(\mathrm{P}(x>a)=\frac{20}{27}\), then \(a=\)MHT CET 2025 Medium - With usual notations, if in \(\triangle \mathrm{ABC}, 8\) is semi perimeter and \((\mathrm{s}-a)(\mathrm{s}-\mathrm{b})=\mathrm{s}(\mathrm{s}-\mathrm{c})\),
then \(\triangle A B C\) isMHT CET 2020 Medium - \(\lim _{x \rightarrow 0} \frac{(1-\cos 2 x)(3+\cos x)}{x \tan 4 x}\) has the valueMHT CET 2024 Easy
- If a discrete random variable X has probability distribution as follows
\(\begin{array}{|c|c|c|c|c|}
\hline \mathrm{X}=x & 0 & 1 & 2 & 3\mathrm{P}[\mathrm{X}=x] & \mathrm{k} & 3 \mathrm{k} & 3 \mathrm{k} & \mathrm{k} \\ \hline\end{array}\)
Then \(\operatorname{var}(\mathrm{X})=\)MHT CET 2020 Easy
More PYQs from MHT CET
- What is IUPAC name of the following compound?
MHT CET 2024 Easy - When a hydrogen atom is raised from the ground state to the excited stateMHT CET 2024 Easy
- Which enzyme is synthesized by gibberellins, to break seed dormancy in wheat and barley?MHT CET 2022 Easy
- A magnetic field of \(2 \times 10^{-2} \mathrm{~T}\) acts at right angles to a coil of area \(100 \mathrm{~cm}^2\) with 50 turns. The average e.m.f. induced in the coil is \(0.1 \mathrm{~V}\), when it is removed from the field in time ' \(t\) '. The value of ' \(t\) ' isMHT CET 2023 Medium
- Identify the reagent ' \(R\) ' used in the following reaction.
MHT CET 2023 Easy - The region represented by the inequalities \(x \geq 6, y \geq 3\), \(2 x+y \geq 10, x \geq 0, y \geq 0\) isMHT CET 2021 Easy