MHT CET · Maths · Mathematical Reasoning
The contrapositive of the statement 'If Raju is courageous, then he will join Indian
Army', is
- A If Raju does not join Indian Army, then he is courageous.
- B If Raju does not join Indian Army, then he is not courageous.
- C If Raju join Indian Army, then he is not courageous
- D If Raju join Indian Army, then he is courageous.
Answer & Solution
Correct Answer
(B) If Raju does not join Indian Army, then he is not courageous.
Step-by-step Solution
Detailed explanation
Let \(\mathrm{p}\) : Raju is courageous, and \(\mathrm{q}\) : Raju will join Indian army.
The contrapositive of \(\mathrm{p} \rightarrow \mathrm{q}\) is \(\sim \mathrm{q} \rightarrow \sim \mathrm{p}\) i.e.
If Raju does not join Indian army, then he is not courageous.
The contrapositive of \(\mathrm{p} \rightarrow \mathrm{q}\) is \(\sim \mathrm{q} \rightarrow \sim \mathrm{p}\) i.e.
If Raju does not join Indian army, then he is not courageous.
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
- With usual notations, In \(\triangle \mathrm{ABC}, \angle \mathrm{C}=90^{\circ}\), then the value of \(\sin (\mathrm{A}-\mathrm{B})\) isMHT CET 2022 Medium
- The angle between lines whose direction cosines satisfy the equation \(\ell+m+n=0\) and \(\ell^2-m^2-n^2=0\), isMHT CET 2025 Medium
- In a triangle \(\mathrm{ABC}, l(\mathrm{AB})=\sqrt{23}\) units, \(l(\mathrm{BC})=3\) units, \(l(\mathrm{CA})=4\) units, then \(\frac{\cot A+\cot C}{\cot B}\) isMHT CET 2024 Medium
- A vector with magnitude of 3 units, which is perpendicular to each of the vectors \(\bar{a}=3 \hat{i}+\hat{j}-4 \hat{k}\) and \(\bar{b}=6 \hat{i}+5 \hat{j}-2 \hat{k}\), is given byMHT CET 2022 Easy
- If \(f(x)=\frac{4^{x-\pi}+4^{\pi-x}-2}{(x-\pi)^2}\) for \(\neq \pi\), is continuous at \(x=\pi\), then \(=\mathrm{k} \quad\) for \(=\pi\)
\(\mathrm{k}=\)MHT CET 2021 Hard - The solution of the equation \(\frac{\mathrm{dy}}{\mathrm{d} x}=\frac{1}{x+\mathrm{y}+1}\) isMHT CET 2025 Medium
More PYQs from MHT CET
- At absolute zero temperature, pure silicon behaves asMHT CET 2020 Easy
- The value of \(\lim _{x \rightarrow a} \frac{\sqrt{a+2 x}-\sqrt{3 x}}{\sqrt{3 a+x}-2 \sqrt{x}}\) isMHT CET 2023 Easy
- Two small identical metal balls are equally charged and placed at a fixed distance away from each other. They experience the electrostatic force ' \(F\) ' A similar uncharged ball after touching one of them is placed at the middle point between the two balls. The force experienced by this ball isMHT CET 2022 Medium
- Parenchymal circulation is found in _________ .MHT CET 2024 Medium
- Cattle dung used as a substrate in biogas production is a rich source of _________.MHT CET 2022 Easy
- In common emitter amplifier, input resistance is \(1000 \Omega\), peak value of input signal voltage is \(5 \mathrm{mV}\) and \(\beta=60\). The peak value of output current isMHT CET 2020 Medium