Question
${11^2} + {12^2} + {13^2} + {.......20^2} = $

Answer

c
(c) Required sum $\Sigma {(20)^2} - \Sigma {(10)^2} = 2870 - 385 = 2485$.

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

Similar questions

The number of solutions of the equation $\sin ^{-1}\left[x^{2}+\frac{1}{3}\right]+\cos ^{-1}\left[x^{2}-\frac{2}{3}\right]=x^{2}$ for $x \in[-1,1],$ and $[x]$ denotes the greatest integer less than or equal to $x$, is ...... .
Let a ray of light passing through the point $(3,10)$ reflects on the line $2 x+y=6$ and the reflected ray passes through the point $(7,2)$. If the equation of the incident ray is $a x+b y+1=0$, then $a ^2+ b ^2+3 ab$ is equal to.
The sum of the first $20$ terms common between the series $3 +7 + 1 1 + 15+ ... ......$ and $1 +6+ 11 + 16+ ......$, is
Number of roots of the equation ${\cos ^2}x + \frac{{\sqrt 3  + 1}}{2}\sin x - \frac{{\sqrt 3 }}{4} - 1 = 0$ which lie in the interval $[-\pi,\pi ]$ is
If $x, y, z \in R^+$ such that $x + y + z = 4$, then maximum possible value of $xyz^2$ is -
The number of distinct solutions of the equation $\log _{\frac{1}{2}}|\sin x|=2-\log _{\frac{1}{2}}|\cos x|$ in the interval $[0,2 \pi],$ is
Let $f : (0, \infty) \to (2,20)$ be twice differentiable function such that $\mathop {\lim }\limits_{x \to \infty } (f(x) + f'(x) + f^{''}(x)) = \mathop {\lim }\limits_{x \to \infty } g(x)$ 

where $\mathop {\lim }\limits_{x \to \infty } g(x)$ exists and equal to $5$, then $\mathop {\lim }\limits_{x \to \infty } (f(x) - g(x))$ equal to

If the value of $x$ satisfying the equation ${\sin ^{ - 1}}\sqrt {1 - {x^2}}  = {\tan ^{ - 1}}\sqrt {\frac{2}{x} - 1} $ is $\frac {a}{b}$ (where $a$ and $b$ are coprime), then the value of $a^2 + b^2$ is
The minimum distance between any two points $P _{1}$ and $P _{2}$ while considering point $P _{1}$ on one circle and point $P _{2}$ on the other circle for the given circles' equations

$x^{2}+y^{2}-10 x-10 y+41=0$

$x^{2}+y^{2}-24 x-10 y+160=0$ is .........

Let $q$ be the maximum integral value of $p$ in $[0,10]$ for which the roots of the equation $x ^2- px +\frac{5}{4} p =0$ are rational. Then the area of the region $\{(x, y): 0 \leq y$ $\left.\leq(x-q)^2, 0 \leq x \leq q\right\}$ is