Electronics and Communication Engineering - (EC) 2023 GATE Paper with Solution

# Electronics and Communication Engineering - (EC) 2023 GATE Paper with Solution | GATE ECE (Electronics) Mock Test Series 2025 - Electronics and Communication Engineering (ECE) PDF Download

``` Page 1

PAGE
1

..Q.1 to Q.5 Carry One Mark Each..
Question 1    General Aptitude : Verbal Ability
“I cannot support this proposal. My______ will not permit it.”
(A) conscious (B) consensus
(C) conscience (D) consent
Ans. (C)
Sol. Given :
I cannot support this proposal. My conscience will not permit it.
Conscious : Aware of and responding to one’s surroundings awake.
Consensus : A general agreement
Conscience : An inner feeling or voice, viewed as acting as a guide to the rightness or wrongness of one’s
behavior.
Consent : Permission for something to happen or agreement to do something as per the meanings of all
wards the correct word which could be used is conscience by which the statement will be meaningful.
Hence, the correct option is (C).
Question 2   General Aptitude : Verbal Ability
Courts : _______ : : Parliament : Legislature.
(by word meaning)
(A) Judiciary (B) Executive
(C) Governmental (D) Legal
Ans. (A)
Sol. Given :
Parliament is related to legislature in a special manner as parliament is legislative body. In the same way
courts is related to judiciary as courts are judiciary body.
Hence, the correct option is (A).
Question 3   General Aptitude : Numerical Ability
What is the smallest number with distinct digits whose digits adds up to 45?
(A) 123555789 (B) 123457869
(C) 123456789 (D) 99999
Ans. (C)
Sol. Given :
The smallest number with distinct digits whose digits adds up to 45
(A) 99999, the digits of this number are not distinct, so it is not correct.
(B) 123457869, the digits of this number are distinct, so it is correct.
(C) 123456789, the digits of this number are distinct, so it is correct.
(D) 123555789, the digits of this number are not distinct, so it is not correct.
Page 2

PAGE
1

..Q.1 to Q.5 Carry One Mark Each..
Question 1    General Aptitude : Verbal Ability
“I cannot support this proposal. My______ will not permit it.”
(A) conscious (B) consensus
(C) conscience (D) consent
Ans. (C)
Sol. Given :
I cannot support this proposal. My conscience will not permit it.
Conscious : Aware of and responding to one’s surroundings awake.
Consensus : A general agreement
Conscience : An inner feeling or voice, viewed as acting as a guide to the rightness or wrongness of one’s
behavior.
Consent : Permission for something to happen or agreement to do something as per the meanings of all
wards the correct word which could be used is conscience by which the statement will be meaningful.
Hence, the correct option is (C).
Question 2   General Aptitude : Verbal Ability
Courts : _______ : : Parliament : Legislature.
(by word meaning)
(A) Judiciary (B) Executive
(C) Governmental (D) Legal
Ans. (A)
Sol. Given :
Parliament is related to legislature in a special manner as parliament is legislative body. In the same way
courts is related to judiciary as courts are judiciary body.
Hence, the correct option is (A).
Question 3   General Aptitude : Numerical Ability
What is the smallest number with distinct digits whose digits adds up to 45?
(A) 123555789 (B) 123457869
(C) 123456789 (D) 99999
Ans. (C)
Sol. Given :
The smallest number with distinct digits whose digits adds up to 45
(A) 99999, the digits of this number are not distinct, so it is not correct.
(B) 123457869, the digits of this number are distinct, so it is correct.
(C) 123456789, the digits of this number are distinct, so it is correct.
(D) 123555789, the digits of this number are not distinct, so it is not correct.

PAGE
2

As we need the smallest number with distinct digits whose digits adds upto 45,
Option (B) and (C) both followed this condition.
Here, the number in option (C) is less than the number in option (B).
Hence, the correct option is (C).
Question 4   General Aptitude : Numerical Ability
In a class of 100 students
(i) there are 30 students who neither like romantic movies nor comedy movies,
(ii) the number of students who like romantic movies is twice the number of students who like comedy
movies, and
(iii) the number of students who like both romantic movies and comedy movies is 20.
How many students in the class like romantic movies?
(A) 40 (B) 20
(C) 60 (D) 30
Ans. (C)
Sol. Given :
There are 100 students from which so students who neither like romantic movies nor comedy movies.
Therefore, 100 30 70 ??
70 students will like either romantic or comedy movies.
The number of students who like romantic movie is twice the number of students who like comedy movies.
Let, number of students like comedy movie is x, then number of students like romantic movie is 2x. the
number of students who like both romantic movies and comedy movies is 20.
The number of students in the class like romantic movies,
2 20 70 xx ? ? ?
3 90 x ?
30 x ?
So, 2 2 30 60 x ? ? ?
Therefore, the number of students who like romantic movies are 60.
Hence, the correct option is (C).
Question 5   General Aptitude : Verbal Ability
How many rectangles are present in the given figure?

(A) 8 (B) 9
(C) 10 (D) 12
Ans. (C)
Page 3

PAGE
1

..Q.1 to Q.5 Carry One Mark Each..
Question 1    General Aptitude : Verbal Ability
“I cannot support this proposal. My______ will not permit it.”
(A) conscious (B) consensus
(C) conscience (D) consent
Ans. (C)
Sol. Given :
I cannot support this proposal. My conscience will not permit it.
Conscious : Aware of and responding to one’s surroundings awake.
Consensus : A general agreement
Conscience : An inner feeling or voice, viewed as acting as a guide to the rightness or wrongness of one’s
behavior.
Consent : Permission for something to happen or agreement to do something as per the meanings of all
wards the correct word which could be used is conscience by which the statement will be meaningful.
Hence, the correct option is (C).
Question 2   General Aptitude : Verbal Ability
Courts : _______ : : Parliament : Legislature.
(by word meaning)
(A) Judiciary (B) Executive
(C) Governmental (D) Legal
Ans. (A)
Sol. Given :
Parliament is related to legislature in a special manner as parliament is legislative body. In the same way
courts is related to judiciary as courts are judiciary body.
Hence, the correct option is (A).
Question 3   General Aptitude : Numerical Ability
What is the smallest number with distinct digits whose digits adds up to 45?
(A) 123555789 (B) 123457869
(C) 123456789 (D) 99999
Ans. (C)
Sol. Given :
The smallest number with distinct digits whose digits adds up to 45
(A) 99999, the digits of this number are not distinct, so it is not correct.
(B) 123457869, the digits of this number are distinct, so it is correct.
(C) 123456789, the digits of this number are distinct, so it is correct.
(D) 123555789, the digits of this number are not distinct, so it is not correct.

PAGE
2

As we need the smallest number with distinct digits whose digits adds upto 45,
Option (B) and (C) both followed this condition.
Here, the number in option (C) is less than the number in option (B).
Hence, the correct option is (C).
Question 4   General Aptitude : Numerical Ability
In a class of 100 students
(i) there are 30 students who neither like romantic movies nor comedy movies,
(ii) the number of students who like romantic movies is twice the number of students who like comedy
movies, and
(iii) the number of students who like both romantic movies and comedy movies is 20.
How many students in the class like romantic movies?
(A) 40 (B) 20
(C) 60 (D) 30
Ans. (C)
Sol. Given :
There are 100 students from which so students who neither like romantic movies nor comedy movies.
Therefore, 100 30 70 ??
70 students will like either romantic or comedy movies.
The number of students who like romantic movie is twice the number of students who like comedy movies.
Let, number of students like comedy movie is x, then number of students like romantic movie is 2x. the
number of students who like both romantic movies and comedy movies is 20.
The number of students in the class like romantic movies,
2 20 70 xx ? ? ?
3 90 x ?
30 x ?
So, 2 2 30 60 x ? ? ?
Therefore, the number of students who like romantic movies are 60.
Hence, the correct option is (C).
Question 5   General Aptitude : Verbal Ability
How many rectangles are present in the given figure?

(A) 8 (B) 9
(C) 10 (D) 12
Ans. (C)

PAGE
3

Sol. In rectangle, ABCD there are 9 rectangles. AGIF , GBEI , IECH , FIHD , ABEF , FECD , AGHD ,
GBCH and GBCH . One more rectangles is JKLM . Therefore, there are total 10 rectangles.

Hence, the correct option is (C).
..Q.6 to Q.10 Carry Two Marks Each..
Question 6   General Aptitude : Verbal Ability
Forestland is a planet inhabited by different kinds of creatures. Among other creatures, it is populated by
animals all of whom are ferocious. There are also creatures that have claws, and some that do not. All creatures
that have claws are ferocious.
Based only on the information provided above, which one of the following options can be logically inferred
with certainty?
(A) All creatures with claws are animals.
(B) Some creatures with claws are non-ferocious.
(C) Some non-ferocious creatures have claws.
(D) Some ferocious creatures are creatures with claws.
Ans. (D)
Sol. Given :
Forestland is a planet inhabited by different kinds of creatures. Among other creatures, it is populated by
animals all of whom are ferocious. There are also creatures that have claws, and some that do not. All
creatures that have claws are ferocious.
Option (A) cannot be inferred as, it is not necessary condition that all creature with claws are animals.
Option (B) cannot be inferred as, all creatures that have claws are ferocious is given in the passage.
Option (C) can also not be inferred as, all creatures that have claws are ferocious is given in the passage.
Option (D) can be inferred certainly as, “There are also creatures that have claws, and some that do not.
All creatures that have claws are ferocious.” Is mention in the passage. From this we can conclude some
ferocious creatures are creatures with claws.
Hence, the correct option is (D).
Question 7   General Aptitude : Numerical Ability
Which one of the following options represents the given graph?

M C L
B D I
J A K
F G
f x ( )
0
x
Page 4

PAGE
1

..Q.1 to Q.5 Carry One Mark Each..
Question 1    General Aptitude : Verbal Ability
“I cannot support this proposal. My______ will not permit it.”
(A) conscious (B) consensus
(C) conscience (D) consent
Ans. (C)
Sol. Given :
I cannot support this proposal. My conscience will not permit it.
Conscious : Aware of and responding to one’s surroundings awake.
Consensus : A general agreement
Conscience : An inner feeling or voice, viewed as acting as a guide to the rightness or wrongness of one’s
behavior.
Consent : Permission for something to happen or agreement to do something as per the meanings of all
wards the correct word which could be used is conscience by which the statement will be meaningful.
Hence, the correct option is (C).
Question 2   General Aptitude : Verbal Ability
Courts : _______ : : Parliament : Legislature.
(by word meaning)
(A) Judiciary (B) Executive
(C) Governmental (D) Legal
Ans. (A)
Sol. Given :
Parliament is related to legislature in a special manner as parliament is legislative body. In the same way
courts is related to judiciary as courts are judiciary body.
Hence, the correct option is (A).
Question 3   General Aptitude : Numerical Ability
What is the smallest number with distinct digits whose digits adds up to 45?
(A) 123555789 (B) 123457869
(C) 123456789 (D) 99999
Ans. (C)
Sol. Given :
The smallest number with distinct digits whose digits adds up to 45
(A) 99999, the digits of this number are not distinct, so it is not correct.
(B) 123457869, the digits of this number are distinct, so it is correct.
(C) 123456789, the digits of this number are distinct, so it is correct.
(D) 123555789, the digits of this number are not distinct, so it is not correct.

PAGE
2

As we need the smallest number with distinct digits whose digits adds upto 45,
Option (B) and (C) both followed this condition.
Here, the number in option (C) is less than the number in option (B).
Hence, the correct option is (C).
Question 4   General Aptitude : Numerical Ability
In a class of 100 students
(i) there are 30 students who neither like romantic movies nor comedy movies,
(ii) the number of students who like romantic movies is twice the number of students who like comedy
movies, and
(iii) the number of students who like both romantic movies and comedy movies is 20.
How many students in the class like romantic movies?
(A) 40 (B) 20
(C) 60 (D) 30
Ans. (C)
Sol. Given :
There are 100 students from which so students who neither like romantic movies nor comedy movies.
Therefore, 100 30 70 ??
70 students will like either romantic or comedy movies.
The number of students who like romantic movie is twice the number of students who like comedy movies.
Let, number of students like comedy movie is x, then number of students like romantic movie is 2x. the
number of students who like both romantic movies and comedy movies is 20.
The number of students in the class like romantic movies,
2 20 70 xx ? ? ?
3 90 x ?
30 x ?
So, 2 2 30 60 x ? ? ?
Therefore, the number of students who like romantic movies are 60.
Hence, the correct option is (C).
Question 5   General Aptitude : Verbal Ability
How many rectangles are present in the given figure?

(A) 8 (B) 9
(C) 10 (D) 12
Ans. (C)

PAGE
3

Sol. In rectangle, ABCD there are 9 rectangles. AGIF , GBEI , IECH , FIHD , ABEF , FECD , AGHD ,
GBCH and GBCH . One more rectangles is JKLM . Therefore, there are total 10 rectangles.

Hence, the correct option is (C).
..Q.6 to Q.10 Carry Two Marks Each..
Question 6   General Aptitude : Verbal Ability
Forestland is a planet inhabited by different kinds of creatures. Among other creatures, it is populated by
animals all of whom are ferocious. There are also creatures that have claws, and some that do not. All creatures
that have claws are ferocious.
Based only on the information provided above, which one of the following options can be logically inferred
with certainty?
(A) All creatures with claws are animals.
(B) Some creatures with claws are non-ferocious.
(C) Some non-ferocious creatures have claws.
(D) Some ferocious creatures are creatures with claws.
Ans. (D)
Sol. Given :
Forestland is a planet inhabited by different kinds of creatures. Among other creatures, it is populated by
animals all of whom are ferocious. There are also creatures that have claws, and some that do not. All
creatures that have claws are ferocious.
Option (A) cannot be inferred as, it is not necessary condition that all creature with claws are animals.
Option (B) cannot be inferred as, all creatures that have claws are ferocious is given in the passage.
Option (C) can also not be inferred as, all creatures that have claws are ferocious is given in the passage.
Option (D) can be inferred certainly as, “There are also creatures that have claws, and some that do not.
All creatures that have claws are ferocious.” Is mention in the passage. From this we can conclude some
ferocious creatures are creatures with claws.
Hence, the correct option is (D).
Question 7   General Aptitude : Numerical Ability
Which one of the following options represents the given graph?

M C L
B D I
J A K
F G
f x ( )
0
x

PAGE
4

(A)
2
( ) 2
x
f x x
?
? (B) ( ) 2
x
f x x
?
?
(C) ( ) 2
x
f x x
?
? (D) ( ) 2
x
f x x
?
?
Ans. (A)
Sol. Given : A graph represents () fx versus x,

The whole graph is above x-axis i.e. positive for all ‘x’.
The given graph is also symmetrical about y-axis.
These two conditions satisfies in only even power of x, i.e.
2
( ) 2
x
f x x
?
?
Hence, the correct option is (A).
Question 8   General Aptitude : Verbal Ability
Which one of the following options can be inferred from the given passage alone?
When I was a kid, I was partial to stories about other worlds and interplanetary travel. I used to imagine
that I could just gaze off into space and be whisked to another planet.
Which option can be inferred from the given passage above?
[Excerpt from The Truth about Stories by T. King]
(A) It is a child’s description of what he or she likes.
(B) It is an adult’s memory of what he or she liked as a child.
(C) The child in the passage read stories about interplanetary travel only in parts.
(D) It teaches us that stories are good for children.
Ans. (B)
Sol. Given :
When I was a kid, I was partial to stories about other worlds and interplanetary travel. I used to imagine
that I could just gaze off into space and be whisked to another planet.
As mentioned in the given passage “when I was a kit” it clearly indicates that it is an adult’s memory of
what he or she liked as child by which option (B) can be inferred.
Hence, the correct option is (B).
Question 9   General Aptitude : Numerical Ability
Out of 1000 individuals in the town, 100 unidentified individuals are covid positive. Due to lack of
adequate covid-testing kits, the health authorities of the town devised a strategy to identify these covid
positive individuals. The strategy is to :
(i) Collect saliva sample from all 1000 individual and randomly group them into sets of 5.
(ii) Mix the samples within each set and test the mixed sample for covid.
f x ( )
0
x
Page 5

PAGE
1

..Q.1 to Q.5 Carry One Mark Each..
Question 1    General Aptitude : Verbal Ability
“I cannot support this proposal. My______ will not permit it.”
(A) conscious (B) consensus
(C) conscience (D) consent
Ans. (C)
Sol. Given :
I cannot support this proposal. My conscience will not permit it.
Conscious : Aware of and responding to one’s surroundings awake.
Consensus : A general agreement
Conscience : An inner feeling or voice, viewed as acting as a guide to the rightness or wrongness of one’s
behavior.
Consent : Permission for something to happen or agreement to do something as per the meanings of all
wards the correct word which could be used is conscience by which the statement will be meaningful.
Hence, the correct option is (C).
Question 2   General Aptitude : Verbal Ability
Courts : _______ : : Parliament : Legislature.
(by word meaning)
(A) Judiciary (B) Executive
(C) Governmental (D) Legal
Ans. (A)
Sol. Given :
Parliament is related to legislature in a special manner as parliament is legislative body. In the same way
courts is related to judiciary as courts are judiciary body.
Hence, the correct option is (A).
Question 3   General Aptitude : Numerical Ability
What is the smallest number with distinct digits whose digits adds up to 45?
(A) 123555789 (B) 123457869
(C) 123456789 (D) 99999
Ans. (C)
Sol. Given :
The smallest number with distinct digits whose digits adds up to 45
(A) 99999, the digits of this number are not distinct, so it is not correct.
(B) 123457869, the digits of this number are distinct, so it is correct.
(C) 123456789, the digits of this number are distinct, so it is correct.
(D) 123555789, the digits of this number are not distinct, so it is not correct.

PAGE
2

As we need the smallest number with distinct digits whose digits adds upto 45,
Option (B) and (C) both followed this condition.
Here, the number in option (C) is less than the number in option (B).
Hence, the correct option is (C).
Question 4   General Aptitude : Numerical Ability
In a class of 100 students
(i) there are 30 students who neither like romantic movies nor comedy movies,
(ii) the number of students who like romantic movies is twice the number of students who like comedy
movies, and
(iii) the number of students who like both romantic movies and comedy movies is 20.
How many students in the class like romantic movies?
(A) 40 (B) 20
(C) 60 (D) 30
Ans. (C)
Sol. Given :
There are 100 students from which so students who neither like romantic movies nor comedy movies.
Therefore, 100 30 70 ??
70 students will like either romantic or comedy movies.
The number of students who like romantic movie is twice the number of students who like comedy movies.
Let, number of students like comedy movie is x, then number of students like romantic movie is 2x. the
number of students who like both romantic movies and comedy movies is 20.
The number of students in the class like romantic movies,
2 20 70 xx ? ? ?
3 90 x ?
30 x ?
So, 2 2 30 60 x ? ? ?
Therefore, the number of students who like romantic movies are 60.
Hence, the correct option is (C).
Question 5   General Aptitude : Verbal Ability
How many rectangles are present in the given figure?

(A) 8 (B) 9
(C) 10 (D) 12
Ans. (C)

PAGE
3

Sol. In rectangle, ABCD there are 9 rectangles. AGIF , GBEI , IECH , FIHD , ABEF , FECD , AGHD ,
GBCH and GBCH . One more rectangles is JKLM . Therefore, there are total 10 rectangles.

Hence, the correct option is (C).
..Q.6 to Q.10 Carry Two Marks Each..
Question 6   General Aptitude : Verbal Ability
Forestland is a planet inhabited by different kinds of creatures. Among other creatures, it is populated by
animals all of whom are ferocious. There are also creatures that have claws, and some that do not. All creatures
that have claws are ferocious.
Based only on the information provided above, which one of the following options can be logically inferred
with certainty?
(A) All creatures with claws are animals.
(B) Some creatures with claws are non-ferocious.
(C) Some non-ferocious creatures have claws.
(D) Some ferocious creatures are creatures with claws.
Ans. (D)
Sol. Given :
Forestland is a planet inhabited by different kinds of creatures. Among other creatures, it is populated by
animals all of whom are ferocious. There are also creatures that have claws, and some that do not. All
creatures that have claws are ferocious.
Option (A) cannot be inferred as, it is not necessary condition that all creature with claws are animals.
Option (B) cannot be inferred as, all creatures that have claws are ferocious is given in the passage.
Option (C) can also not be inferred as, all creatures that have claws are ferocious is given in the passage.
Option (D) can be inferred certainly as, “There are also creatures that have claws, and some that do not.
All creatures that have claws are ferocious.” Is mention in the passage. From this we can conclude some
ferocious creatures are creatures with claws.
Hence, the correct option is (D).
Question 7   General Aptitude : Numerical Ability
Which one of the following options represents the given graph?

M C L
B D I
J A K
F G
f x ( )
0
x

PAGE
4

(A)
2
( ) 2
x
f x x
?
? (B) ( ) 2
x
f x x
?
?
(C) ( ) 2
x
f x x
?
? (D) ( ) 2
x
f x x
?
?
Ans. (A)
Sol. Given : A graph represents () fx versus x,

The whole graph is above x-axis i.e. positive for all ‘x’.
The given graph is also symmetrical about y-axis.
These two conditions satisfies in only even power of x, i.e.
2
( ) 2
x
f x x
?
?
Hence, the correct option is (A).
Question 8   General Aptitude : Verbal Ability
Which one of the following options can be inferred from the given passage alone?
When I was a kid, I was partial to stories about other worlds and interplanetary travel. I used to imagine
that I could just gaze off into space and be whisked to another planet.
Which option can be inferred from the given passage above?
[Excerpt from The Truth about Stories by T. King]
(A) It is a child’s description of what he or she likes.
(B) It is an adult’s memory of what he or she liked as a child.
(C) The child in the passage read stories about interplanetary travel only in parts.
(D) It teaches us that stories are good for children.
Ans. (B)
Sol. Given :
When I was a kid, I was partial to stories about other worlds and interplanetary travel. I used to imagine
that I could just gaze off into space and be whisked to another planet.
As mentioned in the given passage “when I was a kit” it clearly indicates that it is an adult’s memory of
what he or she liked as child by which option (B) can be inferred.
Hence, the correct option is (B).
Question 9   General Aptitude : Numerical Ability
Out of 1000 individuals in the town, 100 unidentified individuals are covid positive. Due to lack of
adequate covid-testing kits, the health authorities of the town devised a strategy to identify these covid
positive individuals. The strategy is to :
(i) Collect saliva sample from all 1000 individual and randomly group them into sets of 5.
(ii) Mix the samples within each set and test the mixed sample for covid.
f x ( )
0
x

PAGE
5

(iii) If the test done in (ii) gives a negative result, then declare all the 5 individual to be covid negative.
(iv)  If the test done in (ii) give positive result, then all the 5 individuals are separately tested for covid.
Given this strategy, no more than ________ testing kits will be required to identify all the 100 covid
positive individuals irrespective of how they are grouped.
(A) 700 (B) 600
(C) 800 (D) 1000
Ans. (A)
Sol. Given :
Number of individuals in town is, 1000
Number of unidentified covid individuals in town is, 100
Due to lack of adequate covid-testing kits, the health authorities of the town devised a strategy to identify
these covid positive individuals. The strategy is to :
(i) Collect saliva sample from all 1000 individual and randomly group them into sets of 5.
The number of total set required will be, 1000 ? 5 = 200,
(ii) Mix the samples within each set and test the mixed sample for covid.
For the testing of one set of 5 people, 1 testing kit required
So, for 200 set total 200 testing kit will required
(iii) If the test done in (ii) gives a negative result, then declare all the 5 individual to be covid negative.
(iv)  If the test done in (ii) give positive result, then all the 5 individuals are separately tested for covid.
The maximum number of 100 unidentified individuals are covid positive.
Let, all unidentified covid positive are in different set, then the number of kits required will be,
Number of people in one set ? Number of set,
5 100 500 ?? kits
Maximum number of kits required will be,
200 500 700 ?? kits
no more than 700 testing kits will be required to identify all the 100 covid positive individuals irrespective
of how they are grouped.
Hence, the correct option is (A).
Question 10   General Aptitude : Verbal Ability
A 100 cm 32cm ? rectangular sheet is folded 5 times. Each time the sheet is folded, the long edge aligns
with its opposite side. Eventually, the folded sheet is a rectangle of dimensions 100cm 1cm. ?
The total number of creases visible when the sheet is unfolded is ______.
(A) 32 (B)  5
(C) 31 (D)  63
Ans. (C)
Sol. Given :
A 100 cm 32cm ? rectangular sheet is folded 5 times. Each time the sheet is folded, the long edge aligns
with its opposite side. Eventually, the folded sheet is a rectangle of dimensions 100cm 1cm. ?
The total number of creases visible when sheet is unfolded can be find by fallowing given procedure, lets
take a sheet of paper and fold it for one time and open it, total number of creases visible will be one.
```

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## GATE ECE (Electronics) Mock Test Series 2025

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