List of top Questions asked in COMEDK UGET- 2010

The digit in the unit place of $2009! + 3^{7886}$ is
$ \sin^2 5^{\circ} + \sin^2 10^{\circ} + \sin^2 15^{\circ} +....+ \sin^2 90^{\circ} $ =
If $^nC_1 + 2\, ^nC_2 + .... + n\, ^nC_n = 2n^2$, then $ n = $
$ \frac{1 -\tan^2 15^\circ}{1 + \tan^2 15^\circ} = $
If $|\vec{a} | = 15 , |\vec{b} | = 12$ and $|\vec{a} + \vec{b} | = 20 $ then $|\vec{a} - \vec{b} | = $
If $\log y= m \tan^{-1} x,$ then
The slopes of the tangent and normal at $(0, 1)$ for the curve $y = \sin x + e^x$ are respectively
Gibb's free energy G is defined as
The outer electronic configuration $s^2p^5$ is possessed by
The type of hybridisation of nitrogen atom in $ {NH_3}$ is
Which of the following ores will be concentrated by froth floatation method?
Which of the following molecules exist?
75% of a first order reaction was completed in 32 minutes. When was 50% of the reaction completed
Raindrops falling down attain limited value of velocity because of
Which of the following pairs is isoelectronic?
A body of mass 3 kg at rest is acted on by a force and the body moves through a distance 20 m in 5 s. Force on the body is
A gas is considered ideal at
Angular frequency of an electron in Bohr atom with quantum number n is proportional to
As resistance in a series resonant circuit increases (i) sharpness of resonance decreases (ii) bandwidth increases
In the group $\{1, 2, 3, 4, 5, 6\}$ under multiplication modulo $7$, if $5x = 4$, then $x =$
If $x= a\left(\cos \theta +\theta \sin \theta\right)$ and $ y = a \left(\sin \theta- \theta \cos \theta \right) $ where $0 < \theta < \frac{\pi}{2}$ , then $ \frac{d^{2}y}{dx^{2}}$ at $ \theta = \frac{\pi}{4}$ is equal to
If $f\left(9\right)= 9 , f'\left(9\right) = 4 $ then $\lim_{x\to9} \frac{\sqrt{f\left(x\right)} -3}{\sqrt{x} - 3} = $
Let $y' = e^{-2x} $ and $ y = 0$ when $x =e$. Then the value of $x$ when $ y =\frac{1}{2}$ is
Excited H atom emits a photon of energy $12.1 \, eV$, orbital angular momentum of electron changes by
Fehling's reagent contains