List of top Questions asked in COMEDK UGET

The maximum of \( Z \) is where, \( Z = 4x + 2y \) subject to constraints \[ 4x + 2y \geq 46, \quad x + 3y \leq 24, \quad x, y \geq 0 \]
The distance of point \( (1, 2) \) from line \( x + y + 2 = 0 \) measured along the line parallel to \( 2x - y = 5 \) is equal to:
The line \( \frac{x-3}{4} = \frac{y-4}{5} = \frac{z-5}{6} \) is parallel to the plane.
The oxidation state of nickel in [Ni(CO)_4] is
The correct condition for physical adsorption is
Total number of elements in the power set of a set $A$ containing 17 elements is
In Young's double slit experiment, the two slits are separated by 0.2 mm and they are 1m from the screen. The wavelength of the light used is 500 nm. The distance between 6th maxima and 10th minima on the screen is closest to
For the reaction \( 2 N_2O_5 \rightarrow 4 NO_2 + O_2 \). If initial pressure is 100 atm and rate constant \( k \) is \( 3.38 \times 10^{-5} \, \text{s}^{-1} \), After 20 min the final pressure of \( N_2O_5 \) will be:
The first and fifth terms of an A.P. are -14 and 2 respectively and the sum of its $n$ terms is 40. The value of $n$ is
From a circular disc of radius \( R \), a square is cut out with a radius as its diagonal. The centre of mass of the remaining portion is at a distance (from the centre)
The solution of the differential equation \( \frac{d^2y}{dx^2} = 0 \) represents
If \( R \) and \( C \) denote resistance and capacitance of a material, then the dimension of \( CR \) will be
There are 12 points in a plane out of which 3 points are collinear. How many straight lines can be drawn by joining any two of them?
The point of intersection of the lines \( \frac{x - 1}{1} = \frac{y - 1}{2} = \frac{z - 2}{3} \) and \( \frac{x - 5}{2} = \frac{y - 2}{1} = \frac{z - 5}{2} \)
Speed of electromagnetic wave in a medium having relative permittivity \( \epsilon_r \) and relative permeability \( \mu_r \) is (speed of light in air, \( c = 3 \times 10^8 \, \text{m/s} \))
If \( 4^n + 15n + P \) is divisible by 9 for all \( n \in \mathbb{N} \), then the least negative integral value of \( P \) is
The Paschen series of hydrogen spectrum lies in which region?
Maximum value of \( z = 12x + 3y \), subject to constraints \( x \geq 0, y \geq 0, x + y \leq 5 \) and \( 3x + y \leq 9 \) is
Television frequencies are of the order of 100 MHz, while radio frequencies are of the order of 1 MHz. Using these as typical frequencies, the ratio of the emf generated in a loop antenna by a television wave to that generated by a radio wave, if both have equal electric field intensities, is
KMnO$_4$ acts as an oxidising agent in acidic medium. The number of moles of KMnO$_4$ that will be required to react with one mole of oxalate ions (to form CO$_2$) in acidic solution is:
An alternating voltage \( V = 200\sin(100t) \) is applied to a series combination of \( R = 30\Omega \) and an inductor of \( 400 \, \text{mH} \). The power factor of the circuit is,
A bullet of mass \( m \) hits a mass \( M \) and gets embedded in it. If the block rises to a height \( h \) as a result of this collision, the velocity of the bullet before collision is
How many atoms are present in hcp per unit cell?
The point \( (-3, -2) \) lies
How many numbers greater than 50000 can be formed by using digits 2, 5, 5, 6, 7?