GATE EC question library

Four people are standing in a line facing you. They are Rahul, Mathew, Seema and Lohit. One is an engineer, one is a doctor, one a teacher and another a dancer. You are told that: Mathew is not standing next to Seema There are two people standing between Lohit and the engineer Rahul is not a doctor The teacher and the dancer are standing next to each other …

The bar graph in panel (a) shows the proportion of male and female illiterates in $2001$ and $2011.$ The proportions of males and females in $2001$ and $2011$ are given in Panel (b) and (c), respectively. The total population did not change during this period. The percentage increase in the total number of literates from $2001$ to $2011$ is …

"Indian history was written by British historians-extremely well documented and researched, but not always impartial. History had to serve its purpose: Everything was made subservient to the glory of the Union Jack. Latter-day Indian scholars presented a contrary picture." From the text above, we can infer that: India history written by British …

Two design consultants, $P$ and $Q,$ started working from $8$ AM for a client. The client budgeted a total of USD $3000$ for the consultants. $P$ stopped working when the hour hand moved by $210$ degrees on the clock. $Q$ stopped working when the hour hand moved by $240$ degrees. $P$ took two tea breaks of $15$ minutes each during her …

Five people $P,Q,R,S$ and $T$ work in a bank. $P$ and $Q$ don't like each other but have to share an office till $T$ gets a promotion and moves to the big office next to the garden $R,$ who is currently sharing an office with $T$ wants to move to the adjacent office with $S,$ the handsome new intern. Given the floor plan, what is the current …

Which one of the following functions is analytic over the entire complex plane?

The families of curves represented by the solution of the equation $$\frac{dy}{dx}=\: – \left(\frac{x}{y} \right)^n$$ for $n=-1$ and $n= +1,$ respectively, are

Let $H(z)$ be the $z-$ transform of a real-valued discrete-time signal $h[n].$ If $P(z) = H(z) H(\frac{1}{z})$ has a zero at $z= \frac{1}{2}+\frac{1}{2}j,$ and $P(z)$ has a total of four zeros, which one of the following plots represents all the zeros correctly?

Consider the two-port resistive network shown in the figure. When an excitation of $5\: V$ is applied across Port $1$, and Port $2$ is shorted, the current through the short circuit at Port $2$ is measured to be $1\: A$ (see (a) in the figure). Now, if an excitation of $5\: V$ is applied across Port $2$, and Port $1$ is shorted (see (b) in …

Let $Y(s)$ be the unit-step response of a causal system having a transfer function $$G(s)= \dfrac{3-s}{(s+1)(s+3)}$$ that is ,$Y(s)=\dfrac{G(s)}{s}.$ The forced response of the system is

For an LTI system, the Bode plot for its gain is as illustrated in the figure shown. The number of system poles $N_{p}$ and the number of system zeros $N_{z}$ in the frequency range $1\: Hz \leq f \leq \:10^{7} Hz$ is

A linear Hamming code is used to map $4-bit$ message to $7-bit$ codewords. The encoder mapping is linear. If the message $0001$ is mapped to the codeword $0000111$, and the message $0011$ is mapped to the codeword $1100110$, then the message $0010$ is mapped to

Which one of the following options describes correctly the equilibrium band diagram at $T=300\:K$ of a Silicon $pnn^{+}\:\:p^{++}$ configuration shown in the figure?

The correct circuit representation of the structure shown in the figure is

The figure shows the high-frequency C-V curve of a MOS capacitor $(\text{at}\: T=300\: K)$ with $\Phi_{ms}= 0\: V$ and no oxide charges. The flat-band, inversion, and accumulation conditions are represented, respectively, by the points

What is the electric flux $\left(\int \vec{E}.d \hat{a}\right)$ through a quarter-cylinder of height $H$ (as shown in the figure) due to an infinitely long line charge along the axis of the cylinder with a charge density of $Q?$

In the table shown, List I and List II, respectively, contain terms appearing on the left-hand side and the right-hand side of Maxwell’s equations (in their standard form). Match the left-hand side with the corresponding right-hand side. …

A standard CMOS inverter is designed with equal rise and fall times $(\beta_{n}=\beta_{p}).$ If the width of the pMOS transistor in the inverter is increased, what would be the effect on the LOW noise margin $NM_{L}$ and the HIGH noise margin $NM_{H}$?

In the circuit shown, what are the values of $F$ for $EN=0$ and $EN=1,$ respectively?

In the circuit shown, $A$ and $B$ are the inputs and $F$ is the output. What is the functionality of the circuit?