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Recent activity by Lakshman Bhaiya

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GATE IN 2023 | GA | Question: 7
Ankita has to climb $5$ stairs starting at the ground, while respecting the following rules:At any stage, Ankita can move either one or two stairs up.At any stage, Ankita...
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GATE IN 2023 | GA | Question: 4
Which one among the following statements must be $\text{TRUE}$ about the mean and the median of the scores of all candidates appearing for $\text{GATE }2023?$The median i...
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GATE IN 2023 | GA | Question: 3
A 'frabjous' number is defined as a $3$ digit number with all digits odd, and no two adjacent digits being the same. For example, $137$ is a frabjous number, while $133$ ...
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GATE IN 2023 | GA | Question: 2
Disagree : Protest: : Agree: __________(By word meaning)RefusePretextRecommendRefute
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GATE IN 2023 | GA | Question: 1
The village was nestled in a green spot, __________ the ocean and the hills.throughin atbetween
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GATE IN 2022 | GA | Question: 10
Which one of the following sets of pieces can be assembled to form a square with a single round hole near the center? Pieces cannot overlap.
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GATE IN 2022 | GA | Question: 9
Given below are three statements and four conclusions drawn based on the statements.Statement $1:$ Some engineers are writers.Statement $2:$ No writer is an actor.Stateme...
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GATE IN 2022 | GA | Question: 8
Consider the following inequalities.$3p \:– q < 4$$3q \:– p < 12$Which one of the following expressions below satisfies the above two inequalities?$p + q < 8$$p + q = 8$$...
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GATE IN 2022 | GA | Question: 7
A game consists of spinning an arrow around a stationary disk as shown below. When the arrow comes to rest, there are eight equally likely outcomes. It could come to rest...
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GATE IN 2022 | GA | Question: 6
Rice, a versatile and inexpensive source of carbohydrate, is a critical component of diet worldwide. Climate change, causing extreme weather, poses a threat to sustained ...
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GATE IN 2022 | GA | Question: 5
A building has several rooms and doors as shown in the top view of the building given below. The doors are closed initially.What is the minimum number of doors that need ...
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GATE IN 2022 | GA | Question: 4
Six persons $\text{P, Q, R, S, T and U}$ are sitting around a circular table facing the center not necessarily in the same order. Consider the following statements:$\text...
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GATE IN 2022 | GA | Question: 3
Pipes $\text{P}$ and $\text{Q}$ can fill a storage tank in full with water in $10$ and $6$ minutes, respectively. Pipe $\text{R}$ draws the water out from the storage tan...
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GATE IN 2022 | GA | Question: 2
A sphere of radius $r$ $\text{cm}$ is packed in a box of cubical shape. What should be the minimum volume (in $\text{cm}^{3}$) of the box that can enclose the sphere?$\fr...
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GATE IN 2022 | GA | Question: 1
Inhaling the smoke from a burning _________ could ________ you quickly.tire / tiertire / tyretyre / tiretyre / tier
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GATE IN 2022 | Question: 1
The input $x(t)$ to a system is related to its output $y(t)$ as$$\frac{dy(t)}{dt} + y(t) = 3x (t-3)u (t-3)$$Here $u(t)$ represents a unit-step function.The transfer funct...
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GATE IN 2022 | Question: 2
A pneumatic nozzle-flapper system is conventionally used to convert __________Small changes in flapper’s velocity to large changes in output temperatureSmall changes in f...
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GATE IN 2022 | Question: 3
A periodic function $f(x),$ with period $2,$ is defined as$f(x) = \left\{\begin{matrix} -1 -x & -1 \leq x < 0 \\ 1 – x & 0 < x \leq 1 \end{matrix}\right. $The Fourier ser...
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GATE IN 2022 | Question: 4
The output of a system $y(t)$ is related to its input $x(t)$ according to the relation $y(t) = x(t) \sin (2 \pi t).$ This system is __________Linear and time-variantNon-l...
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GATE IN 2022 | Question: 5
A unity-gain negative-feedback control system has a loop-gain $L(s)$ given by$$L(s) = \frac{6}{s(s-5)}$$The closed-loop system is _________Causal and stableCausal and uns...
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GATE IN 2022 | Question: 6
A sinusoidal carrier wave with amplitude $A_{c}$ and frequency $f_{c}$ is amplitude modulated with a message signal $m(t)$ having frequency $0 < f_{m} \ll f_{c}$ to gener...
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GATE IN 2022 | Question: 7
A Hall sensor is based on the principle of ___________Photoelectric effectSeebeck effectPiezoelectric effectLorentz force
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GATE IN 2022 | Question: 8
A signal $x(t)$ is band-limited between $100 \; \text{Hz}$ and $200 \; \text{Hz}.$A signal $y(t)$ is related to $x(t)$ as follows:$$y(t) = x (2t – 5)$$The statement that ...
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GATE IN 2022 | Question: 9
The figure shows a Chromel-Alumel thermocouple, where the junction $A$ is held at temperature $T_{A},$ and a thermal emf $E_{1}$ is measured using an ideal voltmeter betw...
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GATE IN 2022 | Question: 10
The resistance of a pure copper wire of length $10 \; \text{cm}$ and diameter $1 \; \text{mm}$ is to be measured. The most suitable method from amongst the choices given ...
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GATE IN 2022 | Question: 11
The logic block shown has an output $F$ given by ________$A + B$$A \cdot \overline{B}$$A + \overline{B}$$\overline{B}$
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GATE IN 2022 | Question: 12
In which of the following bridge(s) is the balancing condition frequency-independent?Maxwell bridgeWien bridgeSchering bridgeWheatstone bridge
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GATE IN 2022 | Question: 13
The output $\text{F}$ of the digital circuit shown can be written in the form(s) __________$\overline{A \cdot B}$$\overline{A} + \overline{B}$$\overline{A+B}$$\overline{A...
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GATE IN 2022 | Question: 14
Given $\text{M} = \begin{bmatrix} 2 & 3 & 7 \\ 6 & 4 & 7 \\ 4 & 6 & 14 \end{bmatrix},$ Which of the following statement(s) is/are correct?The rank of $\text{M}$ is $2$The...
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GATE IN 2022 | Question: 15
An analog-to-digital converter with resolution $0.01 \; \text{V}$ converts analog signals between $0 \; \text{V}$ to $+10 \; \text{V}$ to an unsigned binary output. The m...
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GATE IN 2022 | Question: 16
Consider $24$ voice signals being transmitted without latency using time-division multiplexing. If each signal is sampled at $12 \; \text{kHz}$ and represented by an $8$-...
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GATE IN 2022 | Question: 17
A photodiode is made of a semiconductor with a bandgap of $1.42 \; \text{eV}.$ Given that Plank’s constant is $6.626 \times 10^{-34} \; \text{Js,}$ the speed of light in ...
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GATE IN 2022 | Question: 18
The global minimum of $x^{3} e^{-|x|}$ for $x \in (-\infty, \infty)$ occurs at $x = $ _________ (round off to one decimal place)
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GATE IN 2022 | Question: 19
A $\text{440 V, 8 kW, 4-pole, 50 Hz,}$ star-connected induction motor has a full load slip of $0.04.$ The rotor speed (in rpm) at full load is ________ (round off to one ...
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GATE IN 2022 | Question: 20
The transfer function of a system is:$$\frac{(s+1)(s+3)}{(s+5)(s+7)(s+9)}$$In the state-space representation of the system, the minimum number of state variables (in inte...
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GATE IN 2022 | Question: 21
A Zener diode is used as a $4 \; \text{V}$ voltage regulator in the circuit shown. Given that the diode requires a minimum current of $4 \; \text{mA}$ for voltage regulat...
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GATE IN 2022 | Question: 22
A bag contains six red balls and four blue balls. If three balls are drawn in succession without replacement, the probability that the second and third balls drawn are re...
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GATE IN 2022 | Question: 23
In the bandpass filter circuit shown, $R_{0} = 50\; \Omega, L_{0} = 1 \; \text{mH,} \; C_{0} = 10 \; \text{nF.}$ The $\text{Q}$ factor of the filter is _________ (round o...
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GATE IN 2022 | Question: 24
The Newton-Raphson method is applied to determine the solution of $f(x) = 0$ where $f(x) = x – \cos (x).$ If the initial guess of the solution is $x_{0} = 0,$ the value o...
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GATE IN 2022 | Question: 25
An $\text{OPAMP}$ has a gain of $10^{4},$ an input impedance of $10 \; \text{M} \Omega$ and an output impedance of $100 \; \Omega.$ The $\text{OPAMP}$ is used in unity-g...