List of top Questions asked in COMEDK UGET

The area of the parallelogram with $\vec{a}$ and $\vec{b}$ as adjacent sides is $20\, s \,units$. Then the area of the parallelogram having $7\vec{a} + 5\vec{b}$ and $8\vec{a} + 11\vec{b}$ as adjacent sides is
The compound which gives hydrocarbon on distillation with zinc dust is
If $A = \begin{bmatrix}3&2\\ 4&5\end{bmatrix} $ and $AC = \begin{bmatrix}19&24\\ 37&46\end{bmatrix}$ then $C= $
The surface area of a ball is increasing at the rate of $2 \pi \, s cm/sec$. The rate at which the radius is increasing when the surface area is $16 \pi \, s cm$ is
If the area of a circle increases at a uniform rate, then its perimeter varies
Two identical rods of length L, mass M are riveted at right angles at their mid points Moment of inertia of the system about the perpendicular axis passing through the centre is
$\begin{vmatrix}a&b&c&d\\ -a&b&c&d\\ -a&-b&c&d\\ -a&-b&-c&d\end{vmatrix} = $
Let $f (x)$ and $g(x)$ be differentiable functions on (0, 2] such that $f"(x) - g"(x) = 0, f'(1) = 2g'(1) = 4, f(2) = 3g(2) = 9.$ Then $f (x)- g(x)$ at $ x = 3/2$ is
As we move from left to right in the 3d-series elements
$\int \frac{e^{x} \left(1 +\sin x\right)}{1+\cos x}dx= $
Ratio of maximum to minimum intensities is
If the eccentricity of a hyperbola is 5/3, then the eccentricity of its conjugate is
The length of the subtangent to the curv $x^2y^2 = a^4$ at $(-a, a)$ is
$\sin10^{\circ} +\sin 20^{\circ }+\sin 30^{\circ }+...+\sin360^{\circ } =$
The point of contact of the tangent $x + 2y + 2 = 0$ with the parabola $x^2 = 16y$ is
With respect to the velocity constant of a reaction, which one of the following statement is not correct?
$ \int\limits_0^{\pi /8} \tan^2 (2x) dx = $
Botanical name or scientific name of banana is
Two charges $4q$ and $q$ are placed $3x$ apart in air $A$ charge $Q$ is placed at a point on the line joining so that the systein of these charges remains in equilibrium. Then, the distance of $Q$ from $4q$ and the value of $Q$ are
An unpolarized light is incident on a system of two crossed polaroids $A$ and $B$. Now the second polaroid $B$ is rotated by, $30^{\circ} $ towards $A$. Percentage of light transmitted through the system is
Iron is extracted by
An intensive property is
A uniform wire of resistance $R$, of the radius $r$ is uniformly drawn until its radius is reduced to $r/ n$, Its new resistance is
To prepare 2 $dm^3$ of decinormal solution of oxalic acid, the mass of oxalic acid required is
Which one of the following is an example for pseudo first order reaction?