List of practice Questions

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 four words, out of which three are alike in some manner and one is different.

(A) Arrow
(B) Missile
(C) Sword
(D) Bullet
Choose the combination that has alike words.