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0 0 votes
1 1 answer
300
300 views
Statement: There were different streams of freedom movements in colonial India carried out by themoderates, liberals, radicals, socialists, and so on.Which one of the fol...
0 0 votes
1 1 answer
361
361 views
In the summer of $2012,$ in New Delhi, the mean temperature of Monday to Wednesday was $41^{\circ}C$ and of Tuesday to Thursday was $43^{\circ}C$. If the temperature on T...
1 1 vote
2 2 answers
236
236 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...
1 1 vote
1 1 answer
145
145 views
Consider the system of linear equations: $A \boldsymbol{x}=\boldsymbol{b}$, where $A$ is an $n \times n$ matrix, and $\boldsymbol{x}$ and $\boldsymbol{b}$ are $n$-dimensi...
0 0 votes
1 1 answer
439
439 views
The ratio of male to female students in a college for five years is plotted in the following line graph. If the number of female students doubled in $2009$, by what perce...
0 0 votes
1 1 answer
358
358 views
The ratio of male to female students in a college for five years is plotted in the following line graph If the number of female students in $2011$ and $2012$ is equal, wh...
0 0 votes
2 2 answers
437
437 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...
11 11 votes
5 answers 5 answers
1.6k
1.6k views
The ration of the number of boys and girls who participated in an examination is $4:3.$ The total percentage of candidates who passed the examination is $80$ and the perc...
0 0 votes
1 1 answer
242
242 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...
1 1 vote
1 1 answer
672
672 views
Instrument(s) required to synchronize an alternator to the grid is/areVoltmeterWattmeterSynchroscopeStroboscope
9 9 votes
6 6 answers
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2.9k views
​​​​​If ' $\rightarrow$ ' denotes increasing order of intensity, then the meaning of the words [talk $\rightarrow$ shout $\rightarrow$ scream] is analogous to [please $\r...
0 0 votes
1 1 answer
605
605 views
Which one of the following vector functions represents a magnetic field $\overrightarrow{B}$?$\text{($\hat{X}, \hat{Y}$ and $\hat{Z}$ are unit vectors along x-axis, y-axi...
1 1 vote
1 1 answer
146
146 views
The integral\[\frac{1}{\pi} \int_{0}^{\infty} \frac{x^{2026}}{\left(1+x^{2026}\right)\left(1+x^{2}\right)} \mathrm{d} x\]evaluates to $\_\_\_\_$(Round off to two decimal ...
0 0 votes
1 1 answer
261
261 views
Let $(x, y) \in \Re^{2}$. The rate of change of the real valued function,$V(x, y)=x^{2}+x+y^{2}+1$at the origin in the direction of the point $(1,2)$ is $\_\_\_\_\_\_\_\_...
0 0 votes
1 1 answer
385
385 views
Let $f\left ( x \right ) = \int_{0}^{x} e^{t}\left ( t-1 \right )\left ( t-2 \right )dt$. Then $f\left ( x \right )$ decreases in the interval$x \in \left ( 1,2 \right )$...
0 0 votes
1 1 answer
467
467 views
Given a system of equations: $x+2y+2z=b_1$ $5x+y+3z=b_2$ Which of the following is true regarding its ...
0 0 votes
2 2 answers
482
482 views
Let $v_{1}$ and $v_{2}$ be the two eigenvectors corresponding to distinct eigenvalues of a $3 \times 3$ real symmetric matrix. Which one of the following statements is tr...
1 1 vote
1 1 answer
370
370 views
In the $4 \times 1$ multiplexer, the output $F$ is given by $F = A \oplus B$. Find the required input $'I_{3}, I_{2}, I_{1}, I_{0}'$.$1010$$0110$$1000$$1110$
0 0 votes
1 1 answer
287
287 views
A circuit with ideal elements is shown.Which one of the following options correctly identifies all the linear elements in the circuit?$\text{R}$ only$\text{R, L,}$ and $\...
0 0 votes
2 2 answers
498
498 views
After Rajendra Chola returned from his voyage to Indonesia, he ________ to visit the temple in Thanjavur.Was wishingIs wishingWishedHad wished
0 0 votes
1 1 answer
216
216 views
The figure below is supposed to show three non-overlapping shapes - one oval and two triangles. Which one of the following figures $\text{P, Q, R,}$ or $\text{S}$ fits th...
0 0 votes
1 1 answer
181
181 views
$P$ and $Q$ are two positive integers such that $P^{2}=Q^{2}+13$.The product of the numbers $P$ and $Q$ is $\_\_\_\_$$13$$26$$39$$42$
0 0 votes
1 1 answer
228
228 views
In the given figure, $\overline{P Q}$ is the diameter of a circle with center $O$. Two points $R$ and $S$ are chosen on the circle such that $\angle R O S=80^{\circ}$. Wh...
0 0 votes
1 1 answer
169
169 views
'If Anish had scored hundred runs in today's match, he would have been made the captain of his team. He would have then become the youngest captain in his team's history....
1 1 vote
3 3 answers
810
810 views
Three points in the $x-y$ plane are $(-1,0.8),(0,2.2)$ and $(1,2.8).$ The value of the slope of the best fit straight line in the least square sense is___________(Round o...
0 0 votes
1 1 answer
244
244 views
Based on the relationship between each polygon and the number inside it, the value of ' $X$ ' is $\_\_\_\_$$720$$596$$24$$240$
0 0 votes
1 1 answer
286
286 views
At how many points will the curves $y=x^{2}$ and $y=-x^{2}-2 x-1$ intersect in the real $(x, y)$ plane?$0$$1$$2$$3$
1 1 vote
1 1 answer
434
434 views
Pick the odd one out in the following: $13, 23, 33, 43, 53$ $23$$33$ $43$$53$
1 1 vote
1 1 answer
202
202 views
'The shopkeeper sells lemons.'In this sentence, the word 'lemons' is the $\_\_\_\_$.objectsubjectpredicateverb
0 0 votes
0 0 answers
133
133 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...
0 0 votes
0 0 answers
104
104 views
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...
0 0 votes
0 0 answers
145
145 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, ...
0 0 votes
0 0 answers
139
139 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: $...
0 0 votes
0 0 answers
86
86 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...
0 0 votes
0 0 answers
95
95 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 ...
0 0 votes
0 0 answers
101
101 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...
0 0 votes
0 0 answers
70
70 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 ...
0 0 votes
0 0 answers
124
124 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...
0 0 votes
0 0 answers
126
126 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...
0 0 votes
0 0 answers
98
98 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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