The number which exceeds its positive square root by 12 is - Vidyadip

MCQ

The number which exceeds its positive square root by $12$ is

A
$9$
✓
$16$
C
$25$
D
None of these

✓

Answer

Correct option: B.

$16$

b
(b) Let the required number is $x$

So, $x = \sqrt x + 12\,\,\, \Rightarrow x - 12 = \sqrt x $

==> ${x^2} - 25x + 144 = 0$

==> ${x^2} - 16x - 9x + 144 = 0$$ \Rightarrow x = 16$

=Since $x = 9$ does not hold the condition.

Trick : By inspection, since $16$ exceeds its positive square root i.e.,$4$ by $12$.

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

JEE STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

If the least and the largest real values of $\alpha,$ for which the equation $z+\alpha|z-1|+2 i=0$ $( z \in C$ and $i=\sqrt{-1}$ ) has a solution, are $p$ and $q$ respectively; then $4\left( p ^{2}+ q ^{2}\right)$ is equal to ..........

If the system of equations $x + y+ z = 5$ ; $x + 2y + 3z = 9$ ; $x + 3y + \alpha z = \beta $ has infinitely many solutions, then $\beta - \alpha $ equals

The solution of $tan\,\, 2\theta\,\, tan\theta = 1$ is

If ${{\log x} \over {b - c}} = {{\log y} \over {c - a}} = {{\log z} \over {a - b}},$ then which of the following is true

The equation of the circle touching $x = 0,y = 0$ and $x = 4$ is

If ${\log _{\tan {{30}^ \circ }}}\left( {\frac{{2{{\left| z \right|}^2} + 2\left| z \right| - 3}}{{\left| z \right| + 1}}} \right)\, < \, - 2$ then

If $f(x)\, = \frac{{2 - \sqrt {x + 4} }}{{\sin 2x}},\,\,(x \ne 0),$ is continuous function at $x = 0$, then $f(0)$ equals

The values of $\alpha,$ for which $\left|\begin{array}{ccc}1 & \frac{3}{2} & \alpha+\frac{3}{2} \\ 1 & \frac{1}{3} & \alpha+\frac{1}{3} \\ 2 \alpha+3 & 3 \alpha+1 & 0\end{array}\right|=0$, lie in the interval

Let in a series of $2 n$ observations, half of them are equal to $a$ and remaining half are equal to $-a.$ Also by adding a constant $b$ in each of these observations, the mean and standard deviation of new set become $5$ and $20 ,$ respectively. Then the value of $a^{2}+b^{2}$ is equal to ....... .

Suppose four balls labelled $1,2,3,4$ are randomly placed in boxes $B_1, B_2, B_3, B_4$. The probability that exactly one box is empty is