By mathamatical induction n(n^2− 1) is divisible by: - Vidyadip

MCQ

By mathamatical induction $n(n^2− 1)$ is divisible by:

A
$19$
B
$23$
✓
$24$
D
$29$

✓

Answer

Correct option: C.

$24$

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 Principle of Mathematical Induction→Principle of Mathematical Induction — all question types→Maths STD 11 Science question papers→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

If $A = \{1, 3, 5, B\}$ and $B = \{2, 4\},$ then:

If $\cos \theta = - \frac{1}{{\sqrt 2 }}$ and $\tan \theta = 1$, then the general value of $\theta $ is

If $n$ is an integer lying between $0$ and $21,$ then the least value of $n!(21 - n)!$ is:

Let the line $\mathrm{L}: \sqrt{2} \mathrm{x}+\mathrm{y}=\alpha$ pass through the point of the intersection $\mathrm{P}$ (in the first quadrant) of the circle $x^2+y^2=3$ and the parabola $x^2=2 y$. Let the line $L$ touch two circles $C_1$ and $C_2$ of equal radius $2 \sqrt{3}$. If the centres $Q_1$ and $Q_2$ of the circles $C_1$ and $C_2$ lie on the $y$-axis, then the square of the area of the triangle $\mathrm{PQ}_1 \mathrm{Q}_2$ is equal to........................

A debate club consists of $6$ girls and $4$ boys. A team of $4$ members is to be selected from this club including the selection of a captain (from among these $4$ memiers) for the team. If the team has to include at most one boy, then the number of ways of selecting the team is

$\lim _{x \rightarrow \frac{\pi}{2}}\left(\frac{\int_{x^3}^{(\pi / 2)^3}\left(\sin \left(2 t^{1 / 3}\right)+\cos \left(t^{1 / 3}\right)\right) d t}{\left(x-\frac{\pi}{2}\right)^2}\right)$ is equal to:

Three of the six vertices of a regular hexagon are chosen at random. The probability that the triangle with these three vertices is equilateral, is equal to

If the equation of the tangent to the circle ${x^2} + {y^2} - 2x + 6y - 6 = 0$ parallel to $3x - 4y + 7 = 0$ is $3x - 4y + k = 0$, then the values of $k$ are

If the value of $x$ is so small that ${x^2}$ and greater powers can be neglected, then $\frac{{\sqrt {1 + x} + \sqrt[3]{{{{(1 - x)}^2}}}}}{{1 + x + \sqrt {1 + x} }}$ is equal to

Let $A B C$ be a triangle with $\angle C=90^{\circ}$. Draw $C D$ perpendicular to $A B$. Choose points $M$ and $N$ on sides $A C$ and $B C$ respectively such that $D M$ is parallel to $B C$ and $D N$ is parallel to $A C$. If $D M=5, D N=4$, then $A C$ and $B C$ are respectively equal to