Recent questions tagged gateece-2023

What is the smallest number with distinct digits whose digits add up to $45?$$123555789$$123457869$$123456789$$99999$

In a class of $100$ students,there are $30$ students who neither like romantic movies nor comedy movies,the number of students who like romantic movies is twice the numbe...

How many rectangles are present in the given figure? $8$$9$$10$$12$

Forestland is a planet inhabited by different kinds of creatures. Among other creatures, it is populated by animals all of whom are ferocious. There are also creatures th...

Which one of the following options represents the given graph? $f(x)=x^{2} 2^{-|x|}$$f(x)=x 2^{-|x|}$$f(x)=|x| 2^{-x}$$f(x)=x 2^{-x}$

Which one of the following options can be inferred from the given passage alone?When I was a kid, I was partial to stories about other worlds and interplanetary travel. I...

Out of $1000$ individuals in a town, $100$ unidentified individuals are covid positive. Due to lack of adequate covid-testing kits, the health authorities of the town dev...

A $100 \mathrm{~cm} \times 32 \mathrm{~cm}$ rectangular sheet is folded $5$ times. Each time the sheet is folded, the long edge aligns with its opposite side. Eventually,...

Let $v_1=\left[\begin{array}{l}1 \\ 2 \\ 0\end{array}\right]$ and $v_2=\left[\begin{array}{l}2 \\ 1 \\ 3\end{array}\right]$ be two vectors. The value of the coefficient $...

Let $w^4=16 j$. Which of the following cannot be a value of $w$ ?$2 e^{\frac{j 2 \pi}{8}}$$2 e^{\frac{j \pi}{8}}$$2 e^{\frac{j5 \pi}{8}}$$2 e^{\frac{j9 \pi}{8}}$

Let the sets of eigenvalues and eigenvectors of a matrix $B$ be $\left\{\lambda_k \mid 1 \leq k \leq n\right\}$ and $\left\{v_k \mid 1 \leq k \leq n\right\}$, respectivel...

A series $\text{RLC}$ circuit has a quality factor $\text{Q}$ of $1000$ at a center frequency of $10^{6} \; \mathrm{rad} / \mathrm{s}$. The possible values of $\text{R,...

In the circuit shown below, $\mathrm{P}$ and $\mathrm{Q}$ are the inputs. The logical function realized by the circuit shown below is$\mathrm{Y}=\mathrm{PQ}$$\mathrm{Y}=\...

Consider a system with input $x(t)$ and output $y(t)=x\left(e^{t}\right)$. The system isCausal and time invariant.Non-causal and time varying.Causal and time varying.Non-...

In the table shown below, match the signal type with its spectral characteristics. Signal type Spectral characteristics (i) Continuous, aperiodic(a) Continuous, aperiod...