List of practice Questions

The memory allocation scheme subject to external fragmentation is
The total time taken by a process to complete execution is called

For which value of $ x $, the matrix $ A $ has no inverse where $$ A = \begin{pmatrix} 8 & x & 0 \\4 & 0 & 2 \\12 & 6 & 0 \end{pmatrix} $$

If $$ A = \begin{pmatrix} -5 & -8 & 0 \\3 & 5 & 0 \\1 & 2 & -1 \end{pmatrix} $$ then $ A^2 $ is:

The following improper integral $$ \int_1^\infty \frac{dx}{x^p} $$ converges for which value of $ p $?
The quadratic equation $ 2x^2 - 3x + 3 = 0 $ is to be solved numerically starting with initial guess $ x_0 = 2 $. The new estimate of $ x $ after the first iteration using the Newton-Raphson method is
The value of $$ \lim_{x \to 0} (1 + 2x)^{1/x} $$ is
A pair of dice is thrown. The probability that the sum is neither 7 nor 8 is
If the Boolean expression $ (p \Rightarrow q) \Leftrightarrow (q \land (\sim p)) $ is a tautology, then the Boolean expression $ (p \land (\sim q)) $ is equivalent to
For the function $ f(x) = x^2 e^{-x} $, the maximum occurs when $ x $ is equal to
The Newton-Raphson method fails for the function $ f(x) $, if
Let $ X $ be a continuous random variable denoting the temperature measured. The range of temperature is $ [0, 100] $ degrees Celsius and let the probability density function of $ X $ be $ f(X) = 0.01 $ for $ 0 \leq X \leq 100 $. The mean is
Two of the eigenvalues of a 3x3 matrix are -1 and 2. The determinant of the matrix is 4. Then the third eigenvalue is

The union and intersection of the graphs G and H are respectively

Match the following:

 

The number of clock cycles that it takes to process 200 tasks in a six-segment pipeline is
Let $ A $ and $ B $ be two independent events, then $ P(A \cap B') = $
The set $ S = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12\} $ is to be partitioned into three sets $ A, B, C $ of equal size. Thus $ A \cup B \cup C = S $, $ A \cap B = B \cap C = A \cap C = \emptyset $. The number of ways to partition $ S $ is
Register A holds the 8-bit binary 11011001. To change the value of Register A to 01101101, the following logic microoperation has to be performed on the operand respectively.
Which of the following is related to DBMS?
The number of binary relations on a set with 3 elements is

The cut vertex set of the graph is

The foot of the perpendicular drawn from a point \( A(1,1,1) \) onto a plane \( \pi \) is \( P(-3,3,5) \). If the equation of the plane parallel to the plane \( \pi \) and passing through the midpoint of \( AP \) is \[ ax - y + cz + d = 0, \] then \( a + c - d \) is:
The molecular formula of second homologue in the homologous series of monocarboxylic acid is

If the circle S = 0 cuts the circles x2 + y2 - 2x + 6y = 0, x2 + y2 - 4x - 2y + 6 = 0, and x2 + y2 - 12x + 2y + 3 = 0 orthogonally, then the equation of the tangent at (0, 3) on S = 0 is: