List of top Questions asked in TS PGECET- 2026

The symbolic notation used to describe the microoperation transfers among registers is called

What is the output of selective complement operation of 1010 and 1100?

Which of the following register holds memory operand?

What is the correct description of CIL instruction?

Choose typical program control instructions.

Which type of charts are used in Boolean function simplification?

Which flip flop is used as a push button switch?

How many NAND gates are required to implement a full adder?

Choose the correct statement about connected components.

What is the product of \[ 1.11\times2^3 \] and \[ 1.0101\times2^6 ? \]

Which gate is used for Boolean addition?

How many different strings can be made by reordering the letters of the word SUCCESS?

What is the solution of the recurrence relation \[ a_n=6a_{n-1}-9a_{n-2} \] with initial conditions \[ a_0=1,\qquad a_1=6? \]

What is \(R^3\) of \[ R=\{(1,1),(2,1),(3,2),(4,3)\}? \]

How many relations are there on a set with \(3\) elements?

What is the Four Colour Theorem?

Which among the following represents idempotent law?

Let \(f\) and \(g\) be the functions from the set of integers to the set of integers defined by \[ f(x)=2x+3 \] and \[ g(x)=3x+2. \] What is the composition of \(f\) and \(g\)?

Suppose that there are eight runners in a race. The winner receives a gold medal, the second-place finisher receives a silver medal, and the third-place finisher receives a bronze medal. How many different ways are there to award these medals, if all possible outcomes of the race can occur and there are no ties?

For a Binomial distribution, mean is \(15\) and variance is \(6\). If \[ P(X\ge2) = 1-\left(\frac25\right)^{25}k, \] then \(k=\)

The probability density function of a continuous random variable is \[ f(x)= \begin{cases} \dfrac35 e^{-3x/5}, & x>0 \\ 0, & x\le0 \end{cases} \] The mean of the distribution is

Evaluate \[ \int_{-1}^{1}\frac{x^{2}\sin x}{x^{4}+1}\,dx. \]

The maximum value of \(x^{4}y^{3}\) such that \(x+y=42\) exists at \(x=\alpha,\; y=\beta\). Then \(\dfrac{\alpha}{\beta}\) in its lowest form is

If \(\alpha, \beta\) are two distinct eigenvalues of a matrix \(A\), then the corresponding eigenvectors are

\(f:\mathbb{R}\rightarrow\mathbb{R}\) is increasing in \((-\infty,0)\cup(1,\infty)\) and decreasing in \((0,1)\). If \(f(2)=6\) and the continuous curve \(y=f(x)\) passes through \((0,0)\), then