List of practice Questions

Four men and three women are standing in a line for railway ticket. The probability of standing them in alternate manner is

The Solution of the differential equation $\frac{dy}{dx}=2e^{x-y}+x^{2}e^{-y}$ is

A normal is drawn at a point $(x_1, y_1)$ of the parabola $y^2 = 16x$ and this normal makes equal angle with both $x$ and $y$ axes. Then point $(x_1, y_1)$ is

Dicondylic skull is the characteristic feature of

Azotobacter and Beijerinckia are the examples of:

An incompressible non viscous fluid flows steadily through a cylindrical pipe which has radius $2R$ at point $A$ and radius $R$ at point $B$ farther along the flow direction. If the velocity of the fluid at point $A$ is $V$, its velocity at the point $B$ will be

The decreasing order of electron affinity is:

Friedel - Craft reaction is not related with :

Which one is not the property of crystalline soild ?

Which of the following compounds contain at least one secondary alcohol?

Transition state $2\, (TS2)$ is structurally most likely as:

The isomerism exhibited by following compounds $[Co(NH_3)_6][Cr(CN)_6]$ and $[Cr(NH_3)_6][Cr(CN)_6]$ is

The value of cos $15^{\circ}\, cos 7 \frac{1^{\circ}}{2}\, sin 7 \frac{1^{\circ}}{2}$ is

In the complex ion $\left[Cu\left(CN\right)_{4}\right]^{3-}$ the hybridization state, oxidation state and number of unpaired electrons of copper are respectively

If the equation $x^2 + y^2 -10x + 21 = 0$ has real roots $x = a$ and $y=\beta$ then

From Brewster�s law, except for polished metallic surfaces, the polarising angle

If $r. v. x :$ waiting time in minutes for bus and $p.d.f.$ of $x$ is given by $f(x) = \begin{cases} \frac{1}{5} , & 0\le x\le5 \\[2ex] 0, & \text{otherwise} \end{cases}$ then probability of waiting time not more than $4$ minutes is = _______

The maximum number of 2p electrons with electronic spin $=-\frac{1}{2}$ are

For $N^{3-} >O^{2-}>F^{-} and Na^{+},$ the order in which their ionic radii varies is

Which of the following is the correct option for free expansion of an ideal gas under adiabatic condition?

Two strings $A$ and $B$ of same material are stretched by same tension. The radius of the string $A$ is double the radius of string $B$. Transverse wave travels on string $A$ with speed ?$V_A$? and on string $B$ with speed ?$V_B$?. The ratio $\frac{V_{A}}{V_{B}}$ is

Wire having tension $225\, N$ produces six beats per second when it is tuned with a fork. When tension changes to $256\, N$, it is tuned with the same fork, the number of beats remain unchanged. The frequency of the fork will be

Which of the following is incorrect?

Which of the followings is invert sugar?

Work done in increasing the size of a soap bubble from a radius of $ 3 \,cm $ to $ 5 \,cm $ is nearly (surface tension of soap solution $ = 0.03\, Nm^{-1} $ ).