Download App

Mathematical Reasoning — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsMathematical Reasoning1 Mark
MCQ
The negation of the statement. $“72$ is divisible by $2$ and $3”$ is.
  • ✓
    $72$ is not divisible by $2$ or $72$ is not divisible by $3.$
  • B
    $72$ is not divisible by $2$ and $72$ is not divisible by $3.$
  • C
    $72$ is divisible by $2$ and $72$ is not divisible by $3.$
  • D
    $72$ is not divisible by $2$ and $72$ is divisible by $3.$
✓

Answer

Correct option: A.
$72$ is not divisible by $2$ or $72$ is not divisible by $3.$
We have, $p: 72$ is divisible by $2$ and $3.$
Let $q: 72$ is divisible by $2.$
$r: 72$ is divisible by $3.$
$~q: 72$ is not divisible by $2.$
$~r. 72$ is not divisible by $3.$
$~{(q ⋀ f ) -~q v ~r}$
$\Rightarrow 72$ is not divisible by $2$ or $72$ is not divisible by $3.$

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 a relation $\phi$ is defined from set C to set R such that $x \phi y \Leftrightarrow|x|=y$, then which of the following is correct :
→
Derivative of the function $f(x) = 7x^{-3}$ is:
→
Let $\tan \alpha, \tan \beta$ and $\tan \gamma ; \alpha, \beta, \gamma \neq \frac{(2 n -1) \pi}{2}$ $n \in N$ be the slopes of three line segments $OA,OB$ and $OC$, respectively, where $O$ is origin.If circumcentre of $\Delta ABC$ coincides with origin and its orthocentre lies on $y-$axis, then the value of $\left(\frac{\cos 3 \alpha+\cos 3 \beta+\cos 3 \gamma}{\cos \alpha \cos \beta \cos \gamma}\right)^{2}$ is equal to :
→
The equation of the tangent to the curve $y = 2\sin x + \sin2x$ at $\text{x}=\frac{\pi}{3}$ on it is:
→
Three distinct numbers are selected from first $100$ natural numbers. The probability that all the three numbers are divisible by $2$ and $3$ is
→
At the point of intersection of the rectangular hyperbola $ xy = c^2 $ and the parabola $y^2 = 4ax$  tangents to the rectangular hyperbola and the parabola make an angle $ \theta $ and $ \phi $ respectively with the axis of $X$, then
→
If $\text{a}=\cos\theta+\text{i}\sin\theta,$ then $\frac{1+\text{a}}{1-\text{a}}=$
→
Find the $25^{th}$ common term of the following $A.P.'s$

$S_1 = 1, 6, 11, .....$

$S_2 = 3, 7, 11, .....$

→
The number of terms whose values depends on $x$ in the expansion of $\Big(\text{x}^{2}-2+\frac{1}{\text{x}^{2}}\Big)^{\text{n}}$ is:
→
If the coefficient of the middle term in the expansion of ${(1 + x)^{2n + 2}}$ is $p$ and the coefficients of middle terms in the expansion of ${(1 + x)^{2n + 1}}$ are $q$ and $r$, then
→