List of top Questions asked in COMEDK UGET

If \( U_{n+1} = 3U_n - 2U_{n-1} \) and \( U_0 = 2, U_1 = 3 \), then \( U_n \) is equal to
If \( 4^n + 15n + P \) is divisible by 9 for all \( n \in \mathbb{N} \), then the least negative integral value of \( P \) is
\( (2^{3n} - 1) \) is divisible by
If \( S = \frac{2^2 - 1}{2} + \frac{3^2 - 2}{6} + \frac{4^2 - 3}{12} + \ldots\) \text{ upto 10 terms, then S is equal to}
\( \sum_{n=1}^{m} n \cdot n! \) is equal to
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
The solution of the differential equation \( \frac{d^2y}{dx^2} = 0 \) represents
The solution of the differential equation \( \frac{dy}{dx} + \sqrt{\frac{1 - y^2}{1 - x^2}} = 0 \) is
The solution of the differential equation \( x \frac{dy}{dx} = \cot y \) is
If \( ^nC_3 = 220 \), then \( n = \ ? \)
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 \( \sin A + \sin B = a \) and \( \cos A + \cos B = b \), then \( \cos(A + B) \) equals?
What is \( \frac{\cos \theta}{1 - \tan \theta} + \frac{\sin \theta}{1 - \cot \theta} \) equal to?
Find the general solution of \( \sin 2x + \cos x = 0 \).
If \( f(x) + 2f(1 - x) = x^2 + 5 \) for all real values of \( x \), then \( f(x) \) is given by:
Total number of elements in the power set of a set $A$ containing 17 elements is
Evaluate $\left[i^{22} + \left(\dfrac{1}{i}\right)^{25}\right]^3$
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?
How many numbers greater than 50000 can be formed by using digits 2, 5, 5, 6, 7?
A regular polygon of \( n \) sides has 170 diagonals. Then \( n \) is equal to:
The equation of the pair of angle bisectors of the line \( x^2 - 4xy - 5y^2 = 0 \) is:
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 slope of lines which makes an angle \( 45^\circ \) with the line \( 2x - y = -7 \)
If 2 and 3 are intercepts of a line \( L = 0 \), then the distance of \( L \equiv 0 \) from the origin 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: