List of top Questions asked in COMEDK UGET- 2008

Which one of the following forms a green solid with nitrous acid?
Energy of a charged capacitor is $E$. It is allowed to share its charge with an identical capacitor charged to half its potential. Loss in the energy of the system is
If $y =\left(1+x\right)\left(1+x^{2}\right) ....\left(1+x^{100}\right),$ then $\frac{dx}{dy} $ at $x = 0$ is
Buffer capacity of a buffer will be maximum when
If a set $A$ has $n$ elements, then the number of relations on $A$ is
$\lim_{x\to0} \frac{\tan x -\sin x}{x^{3}} = $
If $\vec{a} , \vec{b} ,\vec{c}$ are unit vectors and $\theta$ is the angle between them, then $| \vec{a} - \vec{b}| = $
If $\vec{a} = \hat{i} + \lambda \hat{j} + 2 \hat{k}$ and $\vec{b} = \mu \hat{i} + \lambda \hat{j} + 2 \hat{k}$ are orthogonal and if $|\vec{a} | = |\vec{b}|$, then $(\lambda, \mu)$ =
Formation of Eddy currents has desirable effects in 1. Electromagnetic damping, 2. Transformer 3. Inductothermy
The acute angle between the hour hand and minute hand of a clock when the time is $5\, hours$ and $40\, minute$ is
Dissociation constant of a weak acid is $10^{-5}$. The pH of 0.1 M solution of this acid is
Which one of the following forms an alcohol with nitrous acid?
Which one of the following has maximum magnetic moment?
Cryoscopic constant is the depression in the freezing point produced by
$\displaystyle\lim_{n\to\infty} \frac{1^{2}+2^{2} +...+n^{2}}{4n^{3}+6n^{2}-5n+1}=$
If $\log (x + z) + \log (x - 2y + z) = 2 \log (x - z),$ then $ x, y, z$ are in
The modulus and amplitude of $\frac{ 1 + 2i}{1 - (1 - i)^2}$ are respectively
The derivative of $\sin x^{\circ} \, \, \cos x$ with respect to $x$ is
Cuprammonium ion is having
If $n$ is a non-negative integer and $A = \begin{bmatrix}1&0\\ 1&1\end{bmatrix} $ , then $A^n = $
The value of $x$ for which $f(x) = x^3 - 6x^2 - 36x + 7 $ is increasing, belong to
If $ y =\sin^{-1} \left(\frac{5x+12 \sqrt{1 -x^{2}}}{13}\right)$ , then $ \frac{dy}{dx} = $
Dividing cells which are not yet committed to become specific cell type are
In an open system
If $2.2 \, kW$ power is transmitted through a $10 \, W$ line at $22 \, kV$, power loss in the form of heat will be