Electronics and Communication Engineering
GATE ECE format:mcq PYQs
Build your understanding with focused practice from past exam papers.
Questions 161–170 of 426. Imported answers require independent review unless marked reviewed.
Question 47
Open questionECMCQ2 marksNeeds review
Consider a discrete-time period signal with period
. Let the discrete-time Fourier series (DTFS) representation be
, where
,
,
,
and
. The value of the sum
isYour answerChoose one option.
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Open questionECMCQ2 marksNeeds review
Let an input
have discrete time Fourier transform
be passed through an LTI system. The frequency response of the LTI system is
. The output
of the system isYour answerChoose one option.
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Open questionECMCQ2 marksNeeds review
Let
be passed through an LTI system having impulse response
. The output of the system isYour answerChoose one option.
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Open questionECMCQ2 marksNeeds review
Let
and
be two band-limited signals having bandwidth
rad/s each. In the figure below, the Nyquist sampling frequency, in rad/s, required to sample
, is 
Your answerChoose one option.
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Open questionECMCQ2 marksNeeds review
The S-parameters of a two port network is given as
with reference to
. Two lossless transmission line sections of electrical lengths
and
are added to the input and output ports for measurement purposes, respectively. The S-parameters
of the resultant two port network is 
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 1
Open questionGAMCQ1 markNeeds review
Mr. X speaks ________ Japanese ________ Chine.
Your answerChoose one option.
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Open questionGAMCQ1 markNeeds review
A sum of money is to be distributed among P, Q, R, and S in the proportion 5 : 2 : 4 : 3, respectively.
If R gets ₹ 100 more than S, what is the share of Q (in ₹)?
Your answerChoose one option.
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Open questionGAMCQ1 markNeeds review
A trapezium has vertices marked as P, Q, R and S (in that order anticlockwise). The side PQ is parallel to side SR.
Further, it is given that, PQ = 11 cm, QR = 4 cm, RS = 6 cm and SP = 3 cm.
What is the shortest distance between PQ and SR (in cm)?
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Open questionGAMCQ1 markNeeds review
The figure shows a grid formed by a collection of unit squares. The unshaded unit square in the grid represents a hole.
What is the maximum number of squares without a “hole in the interior” that can be formed within the 4 × 4 grid using the unit squares as building blocks?
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Open questionGAMCQ1 markNeeds review
An art gallery engages a security guard to ensure that the items displayed are protected. The diagram below represents the plan of the gallery where the boundary walls are opaque. The location the security guard posted is identified such that all the inner space (shaded region in the plan) of the gallery is within the line of sight of the security guard.
If the security guard does not move around the posted location and has a 360° view, which one of the following correctly represents the set of ALL possible locations among the locations P, Q, R and S, where the security guard can be posted to watch over the entire inner space of the gallery?
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