List of top Questions asked in Andhra Pradesh Post Graduate Engineering Common Entrance Test

Which one of the following is related to deadlock?

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 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
The following improper integral $$ \int_1^\infty \frac{dx}{x^p} $$ converges for which value of $ p $?
The Newton-Raphson method fails for the function $ f(x) $, if
Two of the eigenvalues of a 3x3 matrix are -1 and 2. The determinant of the matrix is 4. Then the third eigenvalue is
A pair of dice is thrown. The probability that the sum is neither 7 nor 8 is
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
For the function $ f(x) = x^2 e^{-x} $, the maximum occurs when $ x $ is equal to
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
The number of clock cycles that it takes to process 200 tasks in a six-segment pipeline is
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

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

Let $ A $ and $ B $ be two independent events, then $ P(A \cap B') = $

Match the following:

 

Which of the following is related to DBMS?
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.
The number of binary relations on a set with 3 elements is

The cut vertex set of the graph is

The elongation of a conical bar of length L under the action of its own weight is ___ that of a prismatic bar of the same length.

What is the language $ L $ generated by the production rules $ SS \rightarrow aSa | bSb | a | b $ of the grammar over the alphabet a, b?

If $ m $ parallel lines are intersected by $ n $ parallel lines, then how many parallelograms are formed?
The number of multiplications needed to find $ x^{32} $ when $ x $ is given, is