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Which one of the following shapes can be used to tile (completely cover by repeating) a flat plane, extending to infinity in all directions, without leaving any empty spa...

​The figures $I, II$ and $III$ are parts of a sequence. Which one of the following options comes next in the sequence at $IV$?

Which one of the following ratios does Grashof number represent?buoyancy force to inertia forcebuoyancy force to viscous forceviscous force to capillary forceviscous forc...

Six persons $\text{P, Q, R, S, T and U}$ are sitting around a circular table facing the center not necessarily in the same order. Consider the following statements:$\text...

Given matrix $A = \begin{bmatrix} x & 1 & 3\\ y & 2 & 6\\ 3 & 5 & 7 \end{bmatrix}$, the ordered pair $(x, y)$ for which $\text{det}(A) = 0 $ is$(1, 1)$$(1, 2)$$(2, 2)$$(2...

​​​Which one of the given options is a possible value of $x$ in the following sequence?\[3,7,15, x, 63,127,255\]$35$$40$$45$$31$

The block diagram of a series cascade control system (with time in minutes) is shown in the figure. For $\tau_{l}=8 \: \mathrm{~min}$ and $K_{c}^{s}=1$, the maximum value...

Consider a process with transfer function$$G_{p}=\frac{2 e^{-s}}{(5 s+1)^{2}}$$A first-order plus dead time $\text{(FOPDT)}$ model is to be fitted to the unit step proces...

Given the sequence of terms, $\text{AD CG FK JP}$, the next term is$\text{OV}$$\text{OW}$$\text{PV}$$\text{PW}$

$\textbf{A, B, C}$ and $\textbf{D}$ are vectors of length $4$. $$\textbf{A} = \begin{bmatrix} a_1 & a_2 & a_3 & a_4 \end{bmatrix} \\ \textbf{B} = \begin{bmatrix}b_1 & b_2...

Consider the following $(2\times2)$ matrix $\left( \begin{array}{c} 4 & 0 \\ 0 & 4 \end{array} \right)$Whi...

For the matrix $\begin{pmatrix} 4 & 3\\ 3& 4 \end{pmatrix}$, if $\begin{pmatrix} 1\\ 1 \end{pmatrix}$ is an eigenvector, the corresponding eigenvalue is __________ .

The heat of combustion of methane, carbon monoxide and hydrogen are $P$, $Q$ and $R$ respectively. For the reaction below, $$CH_4+H_2O \rightarrow CO+3H_2$$ the heat of r...

Inhaling the smoke from a burning ______________ could ____________ you quickly.tire / tiertire / tyretyre / tiretyre / tier

Which one of the following is NOT a type of chain conveyor?apron conveyorbucket conveyorscraper conveyorscrew conveyor

Which one of the following is the pair of eigenvalues of the matrix $\left[\begin{array}{cc}-3 & 4 \\ 4 & 3\end{array}\right]?$$-7,7$$-5,5$$-4,3$$-3,4$

Which one of the following is the value of $\lim _{x \rightarrow 0} \dfrac{e^{x}-x-1}{\cos x-1}?$$-1$$0$$1$$\infty$

In a group of students, $10$ students like Mathematics, $12$ students like English, $4$ students like both Mathematics and English, and $6$ students like neither Mathemat...

As shown in the figure, circle $C_{1}$ with center $O_{1}$ and radius $r_{1}$ touches the square $V W X Y$ at points $P$ and $Q$ while circle $C_{2}$ with center $O_{2}$ ...

How many $3$-digit numbers can be formed using three distinct single digit prime numbers?$64$$24$$12$$4$

Consider the cube shown below with its $8$ corners labelled $\mathrm{a}, \mathrm{b}, \mathrm{c}, \mathrm{d}, \mathrm{e}, \mathrm{f}, \mathrm{g}$, and $\text{h}.$ The figu...