List of practice Questions

An insulator plate is passed between the plates of a capacitor. Then current

The instrument used by doctors for endoscopy works on the principle of

The ratio of the coefficient of thermal conductivity of two different materials is $ 5:3. $ If the thermal resistance of the rods of same thickness of these materials is same, then the ratio of the length of these rods will be

Rauwolfia - serpentina belongs to..........family.

RA - Right Auricle RV - Right Ventricle LA - Left Auricle LV - Left Ventricle In the below given diagram which blood vessel represents vena cava ?

Nitrogenous waste products are eliminated mainly as

Manas sanctuary is located at

$\frac {3x^2+1}{x^2-6x+8}$ is equal to

Two vectors are given by $\vec{A}=3 \hat{i}+\hat{j}+3 \hat{k}$ and $\vec{B}=3 \hat{i}+5 \hat{j}-2 \hat{k}$. Find the third vector $\vec{C}$, if $\vec{A}+3 \vec{B}-\vec{C}=\vec{0}$.

If $e$ and $e^{'}$ are the eccentricities of hyperbolas $\frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1$ and its conjugate hyperbola, then the value of $\frac{1}{e^{2}}+\frac{1}{e^{'2}}$ is

The weakest acid amongst the following is

When aqueous solution of benzene diazoniumchloride is boiled, the product formed is

The imaginary part of $\frac{\left(1+i\right)^{2}}{i\left(2i-1\right)} $ is

$AgCl$ dissolves in a solution of ${NH_3}$ but not in water because

If the normal at $(ap^2, 2ap)$ on the parabola $y^2 = 4ax,$ meets the parabola again at $(aq^2, 2aq)$, then

The equation of the circle concentric to the circle $ 2{{x}^{2}}+2{{y}^{2}}-3x+6y+2=0 $ and having area double the area of this circle, is

The probability that the same number appear on throwing three dice simultaneously, is

The value of the $ \int_{{}}^{{}}{\frac{\sin x+\cos x}{3+\sin 2x}}dx $ is

If (x +y )sin u = $x^2y^2$, then $x \frac{\partial u}{\partial x} + y \frac{\partial u}{\partial y} = $

Let A be an orthogonal non-singular matrix of order $n$, then the determinant of matrix $AI _{ n }$ ie, $\left| A - I _{ n }\right|$ is equal to

Let $ f(x)=\left\{ \begin{matrix} \frac{\tan x-\cot x}{x-\frac{\pi }{4}}, & x\ne \frac{\pi }{4} \\ a, & x=\frac{\pi }{4} \\ \end{matrix} \right. $ the value of a so that $ f(x) $ is continuous at $ x=\frac{\pi }{4} $

A box contains $9$ tickets numbered $1$ to $9$ inclusive. If $3$ tickets are drawn from the box one at a time, the probability that they are alternatively either {odd, even, odd} or {even, odd, even} is

A coin is tossed n times. The probability of getting head at least once is greater than 0.8, then the least value of n is

For a party $8$ guests are invited by a husband and his wife. They sit in a row for dinner. The probability that the husband and his wife sit together is

For the hyperbola $\frac{x^{2}}{\cos ^{2} \alpha}-\frac{y^{2}}{\sin ^{2} \alpha}=1$, which of the following remains constant when $\alpha$ varies