Recent questions tagged gate2026-ee

1 1 vote
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'The shopkeeper sells lemons.'In this sentence, the word 'lemons' is the $\_\_\_\_$.objectsubjectpredicateverb
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1 1 answer
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The figure below is supposed to show three non-overlapping shapes - one oval and two triangles. Which one of the following figures $\text{P, Q, R,}$ or $\text{S}$ fits th...
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1 1 answer
372
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At how many points will the curves $y=x^{2}$ and $y=-x^{2}-2 x-1$ intersect in the real $(x, y)$ plane?$0$$1$$2$$3$
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217
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'If Anish had scored hundred runs in today's match, he would have been made the captain of his team. He would have then become the youngest captain in his team's history....
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227
227 views
Which one of the following figures $\mathrm{P}, \mathrm{Q}, \mathrm{R}$, or S , correctly shows the $45^{\circ}$ clockwise-rotated version of figure $\text{(I)}$?$\text{P...
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128
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Match the words in Column $\text{I}$ with their synonyms in Column $\text{II}$.\[\begin{array}{|l|l|}\hline\textbf{Column I} & \textbf{Column II} \\\hline\text{(i)}\ \tex...
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1 1 answer
273
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In the given figure, $\overline{P Q}$ is the diameter of a circle with center $O$. Two points $R$ and $S$ are chosen on the circle such that $\angle R O S=80^{\circ}$. Wh...
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1 1 answer
293
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Based on the relationship between each polygon and the number inside it, the value of ' $X$ ' is $\_\_\_\_$$720$$596$$24$$240$
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166
166 views
Consider a linear arrangement of seven bulbs, each of which can be in the ON or OFF states. The initial configuration of the bulbs is shown in the figure. In every Step, ...
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1 1 answer
238
238 views
$P$ and $Q$ are two positive integers such that $P^{2}=Q^{2}+13$.The product of the numbers $P$ and $Q$ is $\_\_\_\_$$13$$26$$39$$42$
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167
167 views
Consider the infinite-length, discrete-time sequence $x[n]=0.9^{|n|}$, where $n$ is an integer. The region of convergence of its $Z$-transform $X(Z)$ is given by:(Note: $...
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120
120 views
Let $x_{c}(t)$ be any continuous-time periodic signal with period $T$. It is sampled uniformly with a sampling period $T_{S}$ where $T_{S} \neq T$, resulting in the discr...
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1 1 answer
298
298 views
The Laplace transform of the step response of a system is given by\[Y(s)=\frac{100}{s(s+100)}\]The rise time is defined as the time taken for the response to go from $0.1...
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119
119 views
Consider the following differential equation:\[t^{2} \frac{d^{2} y}{d t^{2}}+7 t \frac{d y}{d t}+8 t y=10 \sin (t)\]Which one of the following options is correct?It is a ...
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129
129 views
A uniform ring charge of radius $\text{R}$ carries a total charge $\text{Q}$. Which one of the following options correctly quantifies the magnitude of the force on a poin...
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92
92 views
A positive point charge with velocity $\vec{v}=5 \hat{x}$ enters a region having electric field $\vec{E}=4 \hat{y}$ and magnetic field $\vec{B}=-6 \hat{z}$. Which one of ...
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0 0 answers
148
148 views
A $15 \mathrm{kVA}, 1100 \mathrm{~V} / 220 \mathrm{~V}$, single-phase two-winding transformer is configured as a $1.32 \mathrm{kV} / 1.1 \mathrm{kV}$ autotransformer.What...
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147
147 views
Consider a power system with $N$ buses, of which $P$ are generator buses and the remaining $Q$ are load buses (where there is no generation).Assume that there are no reac...
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115
115 views
The initial three-phase voltage phasors $\left(\bar{V}_{A}, \bar{V}_{B}\right.$, and $\left.\bar{V}_{C}\right)$ at a bus of a power network are as shown in Case-$1$. Due ...
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125
125 views
A certain application requires power at a frequency of $16.67$ Hz, while the available grid frequency is $50$ Hz. A $3$-phase synchronous motor connected to the $50$ Hz, ...
1 1 vote
0 0 answers
159
159 views
Which one of the following options is correct regarding the typical double-squirrel-cage structure used in induction motors?At starting, a larger portion of the rotor cur...
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0 0 answers
100
100 views
The figure shows the single-line diagram of a synchronous generator delivering $P =50 \mathrm{~MW}$ of power at unity power factor to an infinite bus.$I_{S}$ denotes the ...
0 0 votes
1 1 answer
344
344 views
A circuit with ideal elements is shown.Which one of the following options correctly identifies all the linear elements in the circuit?$\text{R}$ only$\text{R, L,}$ and $\...
0 0 votes
2 2 answers
532
532 views
For the circuit shown, which one of the following options correctly identifies the Thevenin's equivalent parameters between nodes Y and Z?$\mathrm{V}_{\mathrm{TH}}=100 \m...
0 0 votes
0 0 answers
106
106 views
Refer to the four circuits shown.Which one of the following options for $\mathrm{k}_{1}, \mathrm{k}_{2}, \mathrm{k}_{3}$, and $\mathrm{k}_{4}$ makes all of them realizabl...
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80
80 views
A single-phase voltage source $v_{s}=325 \sin (2 \pi 50 t) \mathrm{V}$ delivers a current, $i=12 \sin (2 \pi 50 t)+9 \sin (2 \pi 150 t)$ A to a load.The load power factor...
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115
115 views
The figure shows a straight-line approximation for the forward characteristics of a power diode. A continuous on-state current of $15 ~\text{A}$ is flowing through the di...
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89
89 views
Consider the circuit shown in Figure (a). A gate pulse $v_{g}$ is applied between time instants $t_{0}$ and $t_{1}$. After $t_{1}$, during the $\text{MOSFET}$ turn $\text...
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98
98 views
The asymptotic Bode magnitude plot of a system is shown.Which one of the following options best represents the transfer function of the system?$G(s)=\dfrac{1+\dfrac{s}{\o...
1 1 vote
2 2 answers
295
295 views
Two $n \times n$ matrices $A$ and $B$ have a common eigenvalue $2$, and the same corresponding nonzero eigenvector.Which of the following options is/are correct?(Note: $I...