A transparent square sheet shown above is folded along the dotted line. The folded sheet will look like \(\underline{\hspace{2cm}}\).





Step 1: Identify the fold line.
The sheet is folded along the vertical dotted line, meaning the right half folds onto the left half. Because the sheet is transparent, the drawing on the right side will appear as a mirror image on the left after folding.
Step 2: Visualize the reflection.
The original figure contains a vertical line at the center and two slanted lines attached to it. When reflected across the dotted line, the right-side slanted line flips horizontally, forming a symmetric "< >" shape.
Step 3: Compare with given options.
Option (C) correctly shows the mirrored shape after folding, where the two slanted lines form a symmetric pair around the central vertical line.
Final Answer: (C)
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.
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)?

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.

Given an open-loop transfer function \(GH = \frac{100}{s}(s+100)\) for a unity feedback system with a unit step input \(r(t)=u(t)\), determine the rise time \(t_r\).
Consider a linear time-invariant system represented by the state-space equation: \[ \dot{x} = \begin{bmatrix} a & b -a & 0 \end{bmatrix} x + \begin{bmatrix} 1 0 \end{bmatrix} u \] The closed-loop poles of the system are located at \(-2 \pm j3\). The value of the parameter \(b\) is: