Kavya \\\\\\\\ go to work yesterday as she \\\\\\\\ feeling well. Select the most appropriate option to complete the above sentence.

Good : Evil :: Genuine : \\\\\\ Select the most appropriate option to complete the analogy.

What is the value of $\left(\frac{3^{81}}{27^4}\right)^{\frac{1}{3}}$ ?

Identify the option that has the most appropriate sequence such that a coherent paragraph is formed: P. It is because deer, like most of the animals that tigers normally prey on, run much faster! It simply means, another day of empty stomach for the big cats. Q. Tigers spend most of their life searching for food. R. If they trace the scent of deer, tigers follow the trail, chase the deer for a mile or two in the dark, and yet may not catch them. S. For several nights, they relentlessly prowl through the forest, hunting for a trail that may lead to their prey.

Spheres of unit diameter are centered at $(l, m, n)$ where $l$, $m$, and $n$ take every possible integer values. The distance between two spheres is computed from the center of one sphere to the center of the other sphere. For a given sphere, $x$ is the distance to its nearest sphere and $y$ is the distance to its next nearest sphere. The value of $\frac{y}{x}$ is:

Code snippet Consider the set $S$ of points $(x, y) \in \mathbb{R}^2$ which minimize the real valued function $f(x, y) = (x + y - 1)^2 + (x + y)^2$ Which of the following statements is true about the set $S$?

Consider a continuous-time signal $x(t) = -t^2 u(t + 4) - u(t - 4)$ where $u(t)$ is the continuous-time unit step function. Let $\delta(t)$ be the continuous-time unit impulse function. The value of $$\int{-\infty}^{\infty} x(t)\delta(t + 3)dt$$ is

Code snippet Let $v1$ and $v2$ be the two eigenvectors corresponding to distinct eigenvalues of a $3 \times 3$ real symmetric matrix. Which one of the following statements is true?

The relationship between two variables $x$ and $y$ is given by $x + py + q = 0$ and is shown in the figure. Find the values of $p$ and $q$. Note: The figure shown is representative. !image(https://firebasestorage.googleapis.com/v0/b/gexam-717fd.firebasestorage.app/o/public%2F1781884085939image.png?alt=media&token=5d57c46f-20bf-4ec3-bc65-edea2a03d8e9)

Each row of Column-I has three items and each item is represented by a circle in Column-II. The arrangement of circles in Column-II represents the relationship among the items in Column-I. Identify the option that has the most appropriate match between Column-I and Column-II. Note: The figures shown are representative. !image(https://firebasestorage.googleapis.com/v0/b/gexam-717fd.firebasestorage.app/o/public%2F1781884200744image.png?alt=media&token=638d1172-7dac-40f0-bb2c-177ff6463344)

In the given figure, $EF$ and $HJ$ are coded as $30$ and $80$, respectively. Which one among the given options is most appropriate for the entries marked (i) and (ii) ? !image(https://firebasestorage.googleapis.com/v0/b/gexam-717fd.firebasestorage.app/o/public%2F1781884307566image.png?alt=media&token=5a51ccef-6507-42b6-b316-01d74b682a0c)

Scores obtained by two students $P$ and $Q$ in seven courses are given in the table below. Based on the information given in the table, which one of the following statements is INCORRECT? !image(https://firebasestorage.googleapis.com/v0/b/gexam-717fd.firebasestorage.app/o/public%2F1781884469059image.png?alt=media&token=618336d1-1d24-4409-a7e6-ffe0814969a8)

During a power failure, a domestic household uninterruptible power supply (UPS) supplies AC power to a limited number of lights and fans in various rooms. As per a Newton-Raphson load-flow formulation, the UPS would be represented as a

In the triangle $PQR$, the lengths of $PT$ and $TR$ are in the ratio of $3:2$. $ST$ is parallel to $QR$. Two semicircles are drawn with $PS$ and $PQ$ as diameters, as shown in the figure. Which one of the following statements is true about the shaded area $PQS$? Note: The figure shown is representative. !image(https://firebasestorage.googleapis.com/v0/b/gexam-717fd.firebasestorage.app/o/public%2F1781884559531image.png?alt=media&token=6025b608-afec-4e57-b22f-9a893f470886)

The input voltage $v(t)$ and current $i(t)$ of a converter are given by, $v(t) = 300 \sin(\omega t)\text{ V}$ $i(t) = 10 \sin\left(\omega t - \frac{\pi}{6}\right) + 2 \sin\left(3\omega t + \frac{\pi}{6}\right) + \sin\left(5\omega t + \frac{\pi}{2}\right)\text{ A}$ where, $\omega = 2\pi \times 50\text{ rad/s}$. The input power factor of the converter is closest to