List of top Questions asked in COMEDK UGET

At present, a firm is manufacturing $1000$ items. It is estimated that the rate of change of production $P$ with respect to additional number of workers $x$ is given by $\frac {dP}{dx}=100-12 \sqrt x$ If the firm employees $25$ more workers, then the new level of production of items is
Which is characteristic feature of plant cell
If $x, y, z$ are in A.P. and $\tan^{-1}x, \tan^{-1}y$ and $\tan^{-1}z$ are also in A.P., then
The intercepts on $x-axis$ made by tangents to the curve, $y = \displaystyle\int_0^x |t| dt, x \in R$, which are parallel to the line $y = 2x$, are equal to
Consider : Statement-I : $(p \wedge \sim q) \wedge ( \sim p\wedge q)$ is a fallacy. Statement-II : $(p\to q) \leftrightarrow (\sim q \to \sim p)$ is a tautology.
Let $T_n$ be the number of all possible triangles formed by joining vertices of an $n$-sided regular polygon. If $T_{n+1} - T_n = 10$, then the value of $n$ is
All the students of a class performed poorly in Mathematics. The teacher decided to give grace marks of $10$ to each of the students. Which of the following statistical measures will not change even after the grace marks were given?
Disease crowngall is caused by
Tasar silkworm feeds on the leaves of
The expression $\frac{\tan A}{1-\cot A} + \frac{\cot A}{1 - \tan A} $ can be written as
Respiratory organs of Cockroach are called-
Histogen theory was put forward by
Companion cells are absent in the phloem of
Phellogen is
Ammonia is converted into urea during ornithine cycle in
Restriction endonucleases are most widely used in recombinant DNA technology. They are obtained from
100 mL of N/5 HCl was added to 1 g of pure $ {CaCO_3}$ What would remain after the reaction?
The enthalpy of neutralization of HCI and NaOH is x kJ. The heat evolved when 500 ml of 2 N HCl is mixed with 250 mt of 4 N NaOH will be
If $(4)^{\log_9 3} + (9)^{\log_2 4} = (10)^{\log_x 83}$, then X is equal to
If $\omega$ is a cube root of unity, then the value of determinant $\begin{vmatrix}1+\omega&\omega^{2}&\omega \\ \omega^{2} + \omega &-\omega &\omega^{2} \\ 1+\omega^{2} &\omega &\omega^{2} \end{vmatrix}$
The temperature of one mole of an ideal gas increases from 298 K when it absorbs 200 J of heat at constant volume. The change in the internal energy of the gas is
If $y = \sin^{2} \left(\tan^{-1} \sqrt{\frac{1-x^{2}}{1+x^{2}}}\right), $ then $\frac{dy}{dx}$ =
The volume of $CO_2$ (in $cm^3$) liberated at S.T.P. when 1.06 g of anhydrous sodium carbonate is treated with excess of dilute HCl is [atomic mass of Na= 23]
$ y =\tan^{-1} \left( \frac{1}{1+x+x^{2}} \right) + \tan ^{-1} \left( \frac{1}{x^{2}+3x+3} \right) + \tan ^{-1} \left( \frac{1}{x^{2}+5x+7} \right) + ......+ $ upto $n$ terms, then $ \frac{dy}{dx} $ at $x = 0$ and $n = 1$ is equal to
IUPAC name of $ {[CrCl_2(NH3)4]NO_3}$ is