MHT CET · Maths · Mathematical Reasoning
If \(p \rightarrow(p \wedge \sim q)\) is false, then the truth values of \(p\) and \(q\) are respectively
- A F, F
- B \(\mathrm{T}, \mathrm{F}\)
- C \(\mathrm{F}, \mathrm{T}\)
- D \(\mathrm{T}, \mathrm{T}\)
Answer & Solution
Correct Answer
(D) \(\mathrm{T}, \mathrm{T}\)
Step-by-step Solution
Detailed explanation
\(\mathrm{p} \rightarrow(\mathrm{p} \wedge \sim \mathrm{q})\) will be false if
\(\mathrm{P}\) is true and \(\mathrm{p} \wedge \sim \mathrm{q}\) is false
\(\Rightarrow \mathrm{P}\) is true and \(\mathrm{q}\) is true
\(\mathrm{P}\) is true and \(\mathrm{p} \wedge \sim \mathrm{q}\) is false
\(\Rightarrow \mathrm{P}\) is true and \(\mathrm{q}\) is true
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
- The total number of ways, of dividing 52 cards amongst 4 players, so that 3 players have 17 cards each and fourth player has just one card, areMHT CET 2022 Medium
- If \(x^2+y^2=\mathrm{t}+\frac{1}{\mathrm{t}}, x^4+y^4=\mathrm{t}^2+\frac{1}{\mathrm{t}^2}\), then \(\frac{\mathrm{d} y}{\mathrm{~d} x}=\)MHT CET 2024 Medium
- If \(\omega\) is a complex cube root of unity and \(A=\left[\begin{array}{cc}\omega & 0 \\ 0 & \omega\end{array}\right]\), then \(A^{-1}=\)MHT CET 2020 Medium
- The objective function , subject to has maximum value _________ of the feasible region.MHT CET 2016 Hard
- The region represented by the inequations \(2 x+3 y \leqslant 18, x+y \geqslant 10, x \geqslant 0, y \geqslant 0\) isMHT CET 2024 Easy
- The equation of pair of lines \(y=\mathrm{p} x\) and \(y=\mathrm{q} x\) can be written as \((y-\mathrm{p} x)(y-\mathrm{q} x)=0\). Then the equation of the pair of the angle bisectors of the lines \(x^2-4 x y-5 y^2=0\) isMHT CET 2024 Hard
More PYQs from MHT CET
- How long will it take to produce \(5.4 \mathrm{~g}\) of \(\mathrm{Ag}\) from molten \(\mathrm{AgCl}\) by passing \(5 \mathrm{amp}\) current? (Molar mass Ag \(=108 \mathrm{~g} \mathrm{~mol}^{-1}\) ) 965MHT CET 2022 Easy
- How many types of gametes will be produced by an individual having genotype AaBbcc?MHT CET 2015 Hard
- Identify the CORRECT decreasing order of melting point of cluster of sodium atoms depending on size.MHT CET 2023 Medium
- A polymer which becomes soft on heating and hard on cooling, belongs to class ofMHT CET 2019 Easy
- If \(y=\log _{\sin x} \tan x\), then \(\left(\frac{\mathrm{d} y}{\mathrm{~d} x}\right)_{x=\frac{\pi}{4}}\) has the valueMHT CET 2023 Medium
- Half life of first order reaction is 20 minutes. What is the time taken to reduce the initial concentration of the reactant to \(\frac{1}{10}\) th ?MHT CET 2020 Easy