List of practice Questions

What is the function of colipase in the human digestive system?
For a particle executing simple harmonic motion (SHM), at its mean position
A ceiling fan is rotating around a fixed axle as shown. The direction of angular velocity is along _______.
How many Coulombs are required to oxidise 0.1 mole of H2O to oxygen?
Solubility product of CaC2O4 at a given temperature in pure water is 4×10-9 (mol L-1)2. Solubility of CaC2O4 at the same temperature is:
If in two circles, arcs of the same length subtend angles 30° and 78° at the centre, then the ratio of their radii is

Five letters are placed at random in five addressed envelopes. The probability that all the letters are not dispatched in the respective right envelopes is

If adj[ \(\begin{bmatrix} 1 & 0 & 2\\ -1 & 1 & -2\\ 0 & 2 & 1 \end{bmatrix}\)=  \(\begin{bmatrix} 5 & m & -2\\ 1 & 1 & 0\\ -2 & -2 & n \end{bmatrix}\) then m+n =

In a process, the work done by the system is equal to the decrease in its internal energy. The process that the system undergoes is: 

Given below are two statements, one is labelled as Assertion A and the other is labelled as Reason R
Assertion (A): The velocity of a projectile at a point on its trajectory is equal to the slope at that point.
Reason (R): The velocity vector at a point is always along the tangent to the trajectory at that point.
In the light of the above statements, choose the correct answer from the options given below
The angle of elevation of the top of a building from the foot of the tower is 30° and the angle of elevation of the top of the tower from the foot of the building is 60°. If the tower is 50 m high, find the height of the building.

Which of the following hormones is not secreted by human placenta?

$ \begin{vmatrix} x + 1 & x - 1 \\ x^2 + x + 1 & x^2 - x + 1 \end{vmatrix} $ is equal to:

The displacement ($x$) of a particle depends on time ($t$) as $x = \alpha t^2 - \beta t^3$. Then, $\alpha \beta$ is:
Number of particles passing in unit time through unit area perpendicular to the z-axis is given by: 
$N = D \dfrac{(N_2 - N_1)}{(Z_2 - Z_1)}$, 
where $N_2$ and $N_1$ are the number of particles in unit volume at $Z_2$ and $Z_1$. The dimensional formula of $D$ is?

Let Q be the foot of perpendicular from the origin to the plane $4x-3y+z+13=0$ and R be a point ${-1,1,6}$ on the plane. Then length $QR$ is

In the expansion of $\frac{C_1}{C_0} + 2\frac{C_2}{C_1} +3\frac{C_3}{C_2}+…………… n \frac{C_{n}}{C_{n-1}}$ is equal to
The real value of ‘α’ for which $\frac{1 -isinα}{1+ 2isinα}$ is purely real is
How many tiles whose length and breadth are 12 cm and 5 cm respectively will be needed to fit in a rectangular region whose length and breadth are respectively: 
(a) 100 cm and 144 cm 
(b) 70 cm and 36 cm.
A solid cube of mass m at a temperature $θ_0$ is heated at a constant rate. It becomes liquid at temperature $θ_1$ and vapour at temperature $θ_2$ . Let $s_1$ and $s_2$ be specific heats in its solid and liquid states respectively. If $L_f$ and $L_v$ are latent heats of fusion and vaporisation respectively, then the minimum heat energy supplied to the cube until it vaporises is
Light enters from air to glass having refractive index 1.50. What is the speed of light in the glass? The speed of light in vacuum is 3 × 108 m s−1.
The type of linkage present between nucleotides is :
If A = $\begin{bmatrix}1 & 1 \\1 & 1 \end{bmatrix}$ then $A^{10}$ is equal to
Franz thinks, “Will they make them sing in German, even the pigeons?” What could this mean?
A block of certain mass is placed on a rough inclined plane. The angle between the plane and the horizontal is $30^0$. The coefficients of static and kinetic frictions between the block and the inclined plane are 0.6 and 0.5 respectively. Then the magnitude of the acceleration of the block is [Take g=10 ms-2]