List of top Questions asked in CUET (PG)

Which of the following scheduler/schedulers is/are also called CPU scheduler?
(A) Short Term Scheduler
(B) Long Term Scheduler
(C) Medium Term Scheduler
(D) Asymmetric Scheduler
Choose the correct answer from the options given below:

Match List-I with List-II:
\[\begin{array}{|c|c|} \hline \textbf{List-I} & \textbf{List-II} \\ \hline \text{(A)}\ \lim_{x\to 0}(1+2x)^{\frac{1}{x}} & \text{(I)}\ e^{6} \\ \hline \text{(B)}\ \lim_{x\to \infty}\left(1+\frac{1}{x}\right)^{x} & \text{(II)}\ e^{2} \\ \hline \text{(C)}\ \lim_{x\to 0}(1+5x)^{\frac{2}{x}} & \text{(III)}\ e \\ \hline \text{(D)}\ \lim_{x\to \infty}\left(1+\frac{3}{x}\right)^{2x} & \text{(IV)}\ e^{5} \\ \hline \end{array}\] Choose the correct answer from the options given below:

Bag $A$ contains 3 Red and 4 Black balls while Bag $B$ contains 5 Red and 6 Black balls. One ball is drawn at random from one of the bags and is found to be Red. Then, the probability that it was drawn from Bag $B$ is:

\[ \int \frac{2x+1}{x^{2}+x+2}\, dx \ \text{ is} \]

If $\; f(x)=\begin{cases} x\sin\!\left(\tfrac{1}{x}\right), & x\neq 0 \\[6pt] 0, & x=0 \end{cases}, \; \text{then } f(x) \text{ is}$

The value of $\displaystyle \lim_{x \to \infty}\left(1+\frac{2}{3x}\right)^{x}$ is:

If $ x^2 = -16y $ is an equation of a parabola, then:

(A) Directrix is $ y = 4 $
(B) Directrix is $ x = 4 $
(C) Co-ordinates of focus are $ (0, -4) $
(D) Co-ordinates of focus are $ (-4, 0) $
(E) Length of latus rectum is 16

The points $ (K, 2 - 2K), (-K + 1, 2K) $ and $ (-4 - K, 6 - 2K) $ are collinear if:

(A) $ K = \frac{1}{2} $
(B) $ K = -\frac{1}{2} $
(C) $ K = \frac{3}{2} $
(D) $ K = -1 $
(E) $ K = 1 $

If the line through $ (3, y) $ and $ (2, 7) $ is parallel to the line through $ (-1, 4) $ and $ (0, 6) $, then the value of $ y $ is:

The center and radius for the circle $ x^2 + y^2 + 6x - 4y + 4 = 0 $ respectively are:

The length of major axis and coordinate of vertices for the ellipse $ 3x^2 + 2y^2 = 6 $ respectively are:

If \[ \frac{1}{a(b + c)} + \frac{1}{b(c + a)} + \frac{1}{c(a + b)} = k, \text{ then the value of } k \text{ is:} \]

If $ x = \left( 2 + \sqrt{3} \right)^3 + \left( 2 - \sqrt{3} \right)^{-3} $ and $ x^3 - 3x + k = 0 $, then the value of $ k $ is:

If $ (x - 1) $ is a factor of $ 2x^2 - 5x + k = 0 $, then the value of $ k $ is:

If $ a, b, c $ are in Geometric Progression and $ a^x = b^y = c^z $, then $ x, y, z $ are in:

A fair coin is tossed three times. Let A be the event of getting exactly two heads and B be the event of getting at most two tails, then $ P(A \cup B) $ is:

From the given sets, which is an infinite set:

Out of 5 consonants and 4 vowels, how many words of 3 consonants and 3 vowels can be made?

Which figure comes next in the given series below?

Consider the following alphabet series: A B C D E F G H I J K L M N O P Q R S T U V W X Y Z If the second half of the given alphabet series is written in reverse order, which letter will be seventh to the right of the twelfth letter from the left end?