List of top Questions asked in COMEDK UGET

For a reaction of the type, \( 2X + Y \rightarrow A + B \), the following is the data collected:

Select the strongest base from the given compounds:
What would be the volume of water required to dissolve 0.2 g of PbCl$_2$ of molar mass 278 g/mol to prepare a saturated solution of the salt? (K$_{sp}$ of PbCl$_2$ = 3.2 $\times$ 10$^{-8}$)
Which one of the following compounds would not undergo Aldol condensation?

Match the following characteristics of transition metals given in Column I with the examples listed in Column II:

Gaseous Nitrous oxide decomposes at 298 K to form Nitrogen gas and Oxygen gas. The \(\Delta H \text{ for the reaction at 1.0 atm pressure and 298 K is } \)-163.15 \(\text{ kJ}\). Calculate Internal energy change for the decomposition of 100 g of Nitrous oxide gas under the same conditions of temperature and pressure.
In neutral medium KMnO$_4$ oxidises MnSO$_4$ to __________
What would be the van't Hoff factor for a solution prepared by dissolving 3.42 g of CaCl$_2$ in 2500 ml of water having an Osmotic pressure equal to 0.75 atm at 27°C? Molar mass of CaCl$_2$ = 111 amu.
The Molar conductivity of 0.05M solution of MgCl$_2$ is 194.5 ohm$^{-1}$ cm$^2$ per mole at room temperature. A Conductivity cell with electrodes having 3.0 cm$^2$ surface area and 1.0 cm apart is filled with the solution of MgCl$_2$. What would be the resistance offered by the conductivity cell?
The range of \( x \) which satisfy the inequality \[ -5 \leq \frac{2 - 3x}{4} \leq 9 \] is
Evaluate the integral \[ \int \frac{\cos 4x + 1}{\cot x - \tan x} \, dx \]
Let \( x \) be the arithmetic mean and \( y, z \) be the two geometric means between any two positive numbers, then \[ \frac{y^3 + z^3}{x y z} = \text{----------} \]
Identify the starting compound from the following data: \[ C_6H_{14}O(X) \text{ on reaction with HI yields a haloalkane (A) and an alcohol (B).} \] Compound (A) on reaction with aqueous NaOH gives an alcohol (C). Compounds (B) and (C) on reaction with CrO\(_3\) in anhydrous medium yields Butanone and Ethanal respectively.
5.8 g of a gas maintained at 95\(^\circ C\) occupies the same volume as 0.368 g of hydrogen gas maintained at a temperature of 17\(^\circ C\) and pressure being the same atmospheric pressure for both the gases. What is the molecular mass of the unknown gas?
A first order reaction proceeds to 90% completion. What will be the approximate time taken for 90% completion in relation to \(t_{1/2}\) of the reaction?
The value of \[ \sin^{-1} \left[ \cos \left( \frac{39\pi}{5} \right) \right] \] is
The probability distribution of a discrete random variable \( X \) is given as \[ \begin{array}{|c|c|c|c|c|c|} \hline X & 1 & 2 & 4 & 2A & 3A & 5A \\ \hline P(X) & \frac{1}{2} & \frac{1}{5} & \frac{3}{25} & K & \frac{1}{25} & \frac{1}{25} \\ \hline \end{array} \] Then the value of \( A \) if \( E(X) = 2.94 \) is
18 Points are indicated on the perimeter of a triangle ABC as shown below. If three points are chosen then probability that it will form a triangle is
If \( \vec{a} \) and \( \vec{b} \) are unit vectors, then the angle between \( \vec{a} \) and \( \vec{b} \) for which \( \vec{a} - \vec{b} = 0 \)
If the volume of a sphere is increasing at a constant rate, then the rate at which its radius is increasing is
What can be said regarding a line if its slope is negative?
The altitude of a cone is 20 cm and its semi vertical angle is 30°. If the semi vertical angle is increasing at the rate of 2° per second, then the radius of the base is increasing at the rate of
If the position vector of a point A is \( \vec{A} = \vec{a} + 2\vec{b} \) and \( \vec{a} \) divides \( AB \) in the ratio 2 : 3, then the position vector of B is
Solution of \[ x - y + z = 4, \quad x - 2y + 2z = 9, \quad 2x + y + 3z = 1 \] is
Solution of \[ x - y + z = 4, \quad x - 2y + 2z = 9, \quad 2x + y + 3z = 1 \] is