(p q) [( p) ∨ ( q)] is. - Vidyadip

MCQ

$\sim (p \rightarrow q) \rightarrow [(\sim p) ∨ (\sim q)]$ is.

✓
a tautology
B
a contradiction
C
neither a tautology nor contradiction
D
cannot come any conclusion

✓

Answer

Correct option: A.

a tautology

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from Mathematical Reasoning→Mathematical Reasoning — all question types→Maths STD 11 Science question papers→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

If the area of the triangle whose one vertex is at the vertex of the parabola, ${y^2} + 4\,\left( {x - {a^2}} \right) = 0$ and the other two vertices are the points of intersection of the parabola and $y -$ axis, is $250\, sq$. units, then a value of $‘a’$ is

If $a = \sin \frac{\pi }{{18}}\sin \frac{{5\pi }}{{18}}\sin \frac{{7\pi }}{{18}}$ and $x$ is the solution of the equatioin $y = 2\left[ x \right] + 2$ and $y = 3\left[ {x - 2} \right] ,$ where $\left[ x \right]$ denotes the integral part of $x,$ then $a$ is equal to :-

Let $\alpha $ , $\beta $ are the roots of the quadratic equation $ax^2 + bx + c = 0$ . If $a$ , $b$ , $c$ are in $A.P.$ and $\alpha + \beta = 15$ , then $\alpha \beta $ equals

If $2^{10}+2^{9 \cdot} \cdot 3^{1}+2^{8 \cdot 3^{2}+\ldots+2 \cdot 3^{9}+3^{10}}=S-2^{11}$ then $S$ is equal to

If $arg\,(z - a) = \frac{\pi }{4}$, where $a \in R$, then the locus of $z \in C$ is a

$\sin 15^\circ + \cos 105^\circ = $

Let the foci and length of the latus rectum of an ellipse $\frac{\mathrm{x}^2}{\mathrm{a}^2}+\frac{\mathrm{y}^2}{\mathrm{~b}^2}=1, \mathrm{a}>\mathrm{b}$ be $( \pm 5,0)$ and $\sqrt{50}$, respectively. Then, the square of the eccentricity of the hyperbola $\frac{\mathrm{x}^2}{\mathrm{~b}^2}-\frac{\mathrm{y}^2}{\mathrm{a}^2 \mathrm{~b}^2}=1$ equals

A fair dice is thrown up to $20$ times. The probability that on the $10^{th}$ throw, the fourth six apears is :-

The line $x\cos \alpha + y\sin \alpha = p$ will touch the parabola ${y^2} = 4a(x + a)$, if

If $\alpha ,\;\beta $ are the roots of the equation $a{x^2} + bx + c = 0$, then $\frac{\alpha }{{a\beta + b}} + \frac{\beta }{{a\alpha + b}} = $