GATE EC question library

The untimely loss of life is a cause of serious global concern as thousands of people get killed ____ accidents every year while many other die ____ diseases like cardio vascular disease, cancer, etc.

He was not only accused of theft _____ of conspiracy.

Select the word that fits the analogy: Explicit: Implicit :: Express: _______

The Canadian constitution requires that equal importance be given to English and French. Last year, Air Canada lost a lawsuit, and had to pay a six-figure fine to a French-speaking couple after they filed complaints about formal in-flight announcements in English lasting $15$ seconds, as opposed to informal $5$ second messages in French. The …

A superadditive function $f(\cdot)$ satisfies the following property $$f\left ( x_{1} +x_{2}\right )\geq f\left ( x_{1} \right ) + f\left ( x_{2} \right )$$ Which of the following functions is a superadditive function for $x > 1$?

The global financial crisis in $2008$ is considered to be the most serious world-wide financial crisis, which started with the sub-prime lending crisis in $\text{USA}$ in $2007$. The sub-prime lending crisis led to the banking crisis in $2008$ with the collapse of Lehman Brothers in $2008$. The sub-prime lending refers to the provision of loans to …

It is quarter past three in your watch. The angle between the hour hand and the minute hand is ________.

A circle with centre $\text{O}$ is shown in the figure. A rectangle $\text{PQRS}$ of maximum possible area is inscribed in the circle. If the radius of the circle is $a$, then the area of the shaded portion is _______.

$a, b, c$ are real numbers. The quadratic equation $ax^{2}-bx+c=0$ has equal roots, which is $\beta$, then

The following figure shows the data of students enrolled in $5$ years $(2014\;\text{to}\; 2018)$ for two schools $P$ and $Q$. During this period, the ratio of the average number of the students enrolled in school $P$ to the average of the difference of the number of students enrolled in schools $P$ and $Q$ is _______.

If $v_{1},v_{2}, \dots ,v_{6}$ are six vectors in $\mathbb{R}^{4}$ , which one of the following statements is $\text{FALSE}$?

For a vector field $\overrightarrow{A}$, which one of the following is $\text{FALSE}$?

The partial derivative of the function $$f(x, y, z) = e^{1-x\cos y} + xze^{-1/(1+y^{2})}$$ with respect to $x$ at the point $(1,0,e)$ is

The general solution of $\dfrac{\mathrm{d^{2}} y}{\mathrm{d} x^{2}}-6\dfrac{\mathrm{d} y}{\mathrm{d} x}+9y=0$ is

The output $y[n]$ of a discrete-time system for an input $x[n]$ is $$y\left [ n \right ]=\underset{-\infty \leq k\leq n}{\text{max}} \mid x\left [ k \right ] \mid$$ The unit impulse response of the system is

A single crystal intrinsic semiconductor is at a temperature of $300$ $\text{K}$ with effective density of states for holes twice that of electrons. The thermal voltage is $26$ mV. The intrinsic Fermi level is shifted from mid-bandgap energy level by

Consider the recombination process via bulk traps in a forward biased $pn$ homojunction diode. The maximum recombination rate is $U_{\text{max}}$. If the electron and the hole capture cross-sections are equal, which one of the following is $\text{FALSE}$?

The components in the circuit shown below are ideal. If the op-amp is in positive feedback and the input voltage $V_{i}$ is a sine wave of amplitude $1$ $\text{V}$, the output voltage $V_{o}$ is

In the circuit shown below, the Thevenin voltage $V_{TH}$is

The figure below shows a multiplexer where $S_{1}$ and $S_{0}$ are the select lines, $I_{0}$ to $I_{3}$ are the input data lines, $\text{EN}$ is the enable line, and $\text{F(P, Q, R)}$ is the output. $\text{F}$ is