List of top Questions asked in COMEDK UGET

Minimum number of nodes are present in

A multiple choice examination has 5 questions. Each question has three alternative answers of which exactly one is correct. The probability that a student will get 4 or more correct answers just by guessing is

If \( 4^n + 15n + P \) is divisible by 9 for all \( n \in \mathbb{N} \), then the least negative integral value of \( P \) is

If A, B, and C are three mutually exclusive and exhaustive events such that \( P(A) = 2P(B) = 3P(C) \). What is \( P(B) \)?

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

If \( \sin A + \sin B = a \) and \( \cos A + \cos B = b \), then \( \cos(A + B) \) equals?

Water is poured in a tank through a cylindrical tube of area of cross-section \( A \) and ejecting water at a constant speed 4 m/s. The tank contains a hole of area \( \frac{A}{2} \) at the bottom. The level of water in the tank will not go up beyond

Total number of elements in the power set of a set $A$ containing 17 elements is

Three vertices are chosen randomly from the seven vertices of a regular 7-sided polygon. The probability that they form the vertices of an isosceles triangle is.

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 wavelength of the second line of the Balmer series is 486.4 nm. What is the wavelength of the first line of Lyman series?

A circular coil of 20 turns and radius 10 cm is placed in a uniform magnetic field of 0.10 T normal to the plane of the coil. If the current in the coil is 5 A, then the average force on each electron in the coil due to the magnetic field is

A 30 mW laser beam has a cross-sectional area of 15 mm\(^2\). The magnitude of the maximum electric field in this electromagnetic wave is given by: \[ \text{Permittivity of space, } \varepsilon_0 = 9 \times 10^{-12}, \quad \text{Speed of light, } c = 3 \times 10^8 \text{ m/s} \]

A particle is performing simple harmonic motion. Equation of its motion is \( x = 5 \sin \left( 4t - \frac{\pi}{6} \right) \), \( x \) being the displacement from the mean position. Velocity (in ms\(^{-1}\)) of the particle at the instant when its displacement is 3, will be

Barbiturates are used to treat

The equation of the pair of angle bisectors of the line \( x^2 - 4xy - 5y^2 = 0 \) is:

A particle of mass \( m \) is moving in a horizontal circle of radius \( r \) under a centripetal force given by \( \left( \frac{-K}{r^2} \right) \), where \( K \) is a constant. Then

The Paschen series of hydrogen spectrum lies in which region?

The height at which the acceleration due to gravity becomes \( \frac{g}{16} \) (where \( g \) is the acceleration due to gravity on the surface of the earth) in terms of \( R \), if \( R \) is the radius of the Earth.

The difference between heat capacity at constant pressure and heat capacity at constant volume is

The solution of the differential equation \( x \frac{dy}{dx} = \cot y \) is

Calculate the molar conductance of 0.025M aqueous solution of calcium chloride at 25°C. The specific conductance of calcium chloride is \( 12.04 \times 10^{-2} \, \text{S} \, \text{m}^{-1} \)