List of top Questions asked in COMEDK UGET

The approximate value of $ f(5.001) $, $\text{where} $ $f(x) = x^3 - 7x^2 + 10 $

Let $ f(x) = a + \left( (x - 4) \right)^4 / 9 $, $\text{ then minima of } $ f(x) $\text{ is} $

The circle $x^2 + y^2 + 3x - y + 2 = 0$ cuts an intercept on X-axis of length
The points of intersection of circles $ (x + 1)^2 + y^2 = 4 \quad \text{and} \quad (x - 1)^2 + y^2 = 9 \quad \text{are} \quad (a, \pm b), \quad \text{then} \quad (a, b) \quad \text{equals to} $
The value of $ \lim_{x \to 0} \frac{e^{ax} - e^{bx}}{2x} \text{ is equal to} $
The slope of the tangent to the curve, $ y = x^2 - xy $ at $ (1, \frac{1}{2}) $ is
The value of $a^{\log_b c} - c^{\log_b a}$, where $a, b, c>0$ but $a, b, c \neq 1$, is

An air bubble in water ($ \mu = \frac{4}{3} $) is shown in the figure. The apparent depth of the image of the bubble in a plane mirror viewed by the observer is.

If the sum of 12th and 22nd terms of an AP is 100, then the sum of the first 33 terms of an AP is

Which of the following are not path functions? 
I. H - T S 
II. W 
III. q 
IV. q + W 
 

X and Y in the following reactions are:
(CH3–CH2)2C=O → HCN/KCN → X → LiAlH4 → (CH3)2C(OH)CH2NH2
What can be A and B in the following reaction?

Identify the product formed in the given reaction. 

Find the product formed for the given reaction.
\[ C_6H_5CHO + H_3C-CH_2CHO \xrightarrow{\text{Dil. NaOH/Δ}} \text{Product} \]
The major product in the given reaction is
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
Which of the following diagram represents the variation of the electric field with distance \( r \) from the centre of a uniformly charged non-conducting sphere of radius \( R \)?
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)
A cell of emf 2V is connected with a load of resistance 1.5Ω. The power delivered by the cell to the load is maximum, then power transferred to the load is
A car is moving with a speed of 54 km / h. If after 3 s, the driver applies brakes and it stops, then how much distance is covered by the car before coming to rest?
Doping of silicon (Si) with indium (In) leads to the formation of
If \( A = \{3, 5, 7\} \) and \( B = \{1, 2, 3, 5\} \), then \( A \times B \cap B \times A \) is equal to:
In the expansion of (1 - 3x + 3x² - x³)2n, the middle term is
The chemical formula of Lucas reagent is
There are two identical containers \(C_1\) and \(C_2\) containing identical gases. Gas in \(C_1\) is reduced to half of its original volume adiabatically, while the gas in container \(C_2\) is also reduced to half of its initial volume isothermally. Find the ratio of final pressure in these containers. \(\gamma\) be the adiabatic constant)