GATE  >  Electronics and Communication Engineering (EC) 2016 GATE Paper (Set B) with solution

# Electronics and Communication Engineering (EC) 2016 GATE Paper (Set B) with solution - GATE Past Year Papers for Practice (All Branches)

``` Page 1

: 	2 	: 	 		Gate 2016 – ECE 	– 	Set	2
Q.1 – Q.5 Carry one mark each
01. Based on the given statements, select the appropriate option with respect to grammar a
statements.
(i) The height of Mr. X is 6 feet. (ii) The height of Mr. Y is 5 feet
(A) Mr. X is longer than Mr. Y
(B) Mr. X  is more elongated than Mr. Y
(C) Mr. X is taller than Mr. Y
(D) Mr. X is lengthier than Mr. Y
01. Ans: (C)
Sol:  In degrees of comparison Mr. X is taller than Mr. Y is apt.
Positive degree – tall
Comparative degree  – taller
Superlative degree – tallest
02. The students _____ the teachers on teachers   day for twenty years of dedicated teaching.
(A) facilitated  (B) felicitated    (C) fantasized (D) facilitated
02. Ans: (B)
Sol: Felicitate means honour.
03. After India’s cricket world cup victory in 1985, Shrotria who was playing both tennis and cricket
till then, decided to concentrate only on cricket. And the  rest is history.
What does the underlined phrase mean  in this context?
(A) history will rest in peace  (B) rest is recorded in history books
(C) rest is well known   (D) rest in archaic
03. Ans: (C)
Sol: ‘rest is history’ is an idiomatic expression which means ‘rest is well known
04. Given (9 inches)
1/2
= (0.25 yards)
1/2
, which one of the following statements is TRUE?
(A) 3 inches = 0.5 yards   (B) 9 inches = 1.5 yards
(C) 9 inches = 0.25 yards  (D) 81 inches = 0.0625 yards
04. Ans: (C)
Sol: Given (9 inches)
1/2
= (0.25 yards)
1/2

9 inches = 0.25 yards
05. S, M, E and F  are working in shifts in a term to finish a project. M works with twice the efficiency
of other but for half as many days as E worked. S and M have 6 hour shifts in a day, whereas E
and F have 12 hours shifts. What is the ratio of contribution of M to contribution of E in the
project?
(A) 1:1        (B) 1:2   (C) 1:4      (D) 2:1
05. Ans: (B)
Sol: M efficiency = 2 [ efficiency of S,E, and F]
Contribution of M in the project = x days × 6 hrs ×2
Contribution of E in the project = 2x days × 12 hrs ×1
Contribution of M : Contribution of E
x × 6 × 2 : 2x × 12 × 1
1 : 2
Page 2

: 	2 	: 	 		Gate 2016 – ECE 	– 	Set	2
Q.1 – Q.5 Carry one mark each
01. Based on the given statements, select the appropriate option with respect to grammar a
statements.
(i) The height of Mr. X is 6 feet. (ii) The height of Mr. Y is 5 feet
(A) Mr. X is longer than Mr. Y
(B) Mr. X  is more elongated than Mr. Y
(C) Mr. X is taller than Mr. Y
(D) Mr. X is lengthier than Mr. Y
01. Ans: (C)
Sol:  In degrees of comparison Mr. X is taller than Mr. Y is apt.
Positive degree – tall
Comparative degree  – taller
Superlative degree – tallest
02. The students _____ the teachers on teachers   day for twenty years of dedicated teaching.
(A) facilitated  (B) felicitated    (C) fantasized (D) facilitated
02. Ans: (B)
Sol: Felicitate means honour.
03. After India’s cricket world cup victory in 1985, Shrotria who was playing both tennis and cricket
till then, decided to concentrate only on cricket. And the  rest is history.
What does the underlined phrase mean  in this context?
(A) history will rest in peace  (B) rest is recorded in history books
(C) rest is well known   (D) rest in archaic
03. Ans: (C)
Sol: ‘rest is history’ is an idiomatic expression which means ‘rest is well known
04. Given (9 inches)
1/2
= (0.25 yards)
1/2
, which one of the following statements is TRUE?
(A) 3 inches = 0.5 yards   (B) 9 inches = 1.5 yards
(C) 9 inches = 0.25 yards  (D) 81 inches = 0.0625 yards
04. Ans: (C)
Sol: Given (9 inches)
1/2
= (0.25 yards)
1/2

9 inches = 0.25 yards
05. S, M, E and F  are working in shifts in a term to finish a project. M works with twice the efficiency
of other but for half as many days as E worked. S and M have 6 hour shifts in a day, whereas E
and F have 12 hours shifts. What is the ratio of contribution of M to contribution of E in the
project?
(A) 1:1        (B) 1:2   (C) 1:4      (D) 2:1
05. Ans: (B)
Sol: M efficiency = 2 [ efficiency of S,E, and F]
Contribution of M in the project = x days × 6 hrs ×2
Contribution of E in the project = 2x days × 12 hrs ×1
Contribution of M : Contribution of E
x × 6 × 2 : 2x × 12 × 1
1 : 2
: 	3 	: 	 	Questions & Solutions
Q.6 – Q.10 Carry two marks each
06. The Venn diagram shows the preference of the student population for leisure activities.
From the data given, the number of students who like to read books or play sports is __________.
(A) 44 (B) 51
(C) 79 (D) 108
06. Ans: (D)
Sol: Read books = n(R) = 12 + 44 + 7 + 13
= 76
Play sports = n(s) = 44 + 7 + 17 +15
= 83
n (R ?? S) = 44 + 7
= 51
n (R ? S) = n (R) + n (S) – n (R ? S)
= 76 + 83 – 51
= 108
07. Social science disciplines were in existence in an amorphous form until the colonial period when
they were institutionalized. In varying degrees, they were intended to further the colonial interest.
In the time of globalization and the economic rise of postcolonical countries like India,
conventional ways of knowledge production have become obsolete.
Which of the following can be logically inferred from the above statements?
(i) Social science disciplines have become obsolete.
(ii) Social science disciplines had a pre-colonial origin
(iii) Social science disciplines always promote colonialism
(iv) Social science must maintain disciplinary boundaries
(A) (ii) only     (B) (i) and (iii) only
(C) (ii) and (iv) only    (D) (iii) and (iv) only
07. Ans: (A)
Sol: Until the colonial period means pre-colonial origin. Other options can’t be inferred.
books
Watch Tv
13
12
7
17
44
15
19
Play sports
Page 3

: 	2 	: 	 		Gate 2016 – ECE 	– 	Set	2
Q.1 – Q.5 Carry one mark each
01. Based on the given statements, select the appropriate option with respect to grammar a
statements.
(i) The height of Mr. X is 6 feet. (ii) The height of Mr. Y is 5 feet
(A) Mr. X is longer than Mr. Y
(B) Mr. X  is more elongated than Mr. Y
(C) Mr. X is taller than Mr. Y
(D) Mr. X is lengthier than Mr. Y
01. Ans: (C)
Sol:  In degrees of comparison Mr. X is taller than Mr. Y is apt.
Positive degree – tall
Comparative degree  – taller
Superlative degree – tallest
02. The students _____ the teachers on teachers   day for twenty years of dedicated teaching.
(A) facilitated  (B) felicitated    (C) fantasized (D) facilitated
02. Ans: (B)
Sol: Felicitate means honour.
03. After India’s cricket world cup victory in 1985, Shrotria who was playing both tennis and cricket
till then, decided to concentrate only on cricket. And the  rest is history.
What does the underlined phrase mean  in this context?
(A) history will rest in peace  (B) rest is recorded in history books
(C) rest is well known   (D) rest in archaic
03. Ans: (C)
Sol: ‘rest is history’ is an idiomatic expression which means ‘rest is well known
04. Given (9 inches)
1/2
= (0.25 yards)
1/2
, which one of the following statements is TRUE?
(A) 3 inches = 0.5 yards   (B) 9 inches = 1.5 yards
(C) 9 inches = 0.25 yards  (D) 81 inches = 0.0625 yards
04. Ans: (C)
Sol: Given (9 inches)
1/2
= (0.25 yards)
1/2

9 inches = 0.25 yards
05. S, M, E and F  are working in shifts in a term to finish a project. M works with twice the efficiency
of other but for half as many days as E worked. S and M have 6 hour shifts in a day, whereas E
and F have 12 hours shifts. What is the ratio of contribution of M to contribution of E in the
project?
(A) 1:1        (B) 1:2   (C) 1:4      (D) 2:1
05. Ans: (B)
Sol: M efficiency = 2 [ efficiency of S,E, and F]
Contribution of M in the project = x days × 6 hrs ×2
Contribution of E in the project = 2x days × 12 hrs ×1
Contribution of M : Contribution of E
x × 6 × 2 : 2x × 12 × 1
1 : 2
: 	3 	: 	 	Questions & Solutions
Q.6 – Q.10 Carry two marks each
06. The Venn diagram shows the preference of the student population for leisure activities.
From the data given, the number of students who like to read books or play sports is __________.
(A) 44 (B) 51
(C) 79 (D) 108
06. Ans: (D)
Sol: Read books = n(R) = 12 + 44 + 7 + 13
= 76
Play sports = n(s) = 44 + 7 + 17 +15
= 83
n (R ?? S) = 44 + 7
= 51
n (R ? S) = n (R) + n (S) – n (R ? S)
= 76 + 83 – 51
= 108
07. Social science disciplines were in existence in an amorphous form until the colonial period when
they were institutionalized. In varying degrees, they were intended to further the colonial interest.
In the time of globalization and the economic rise of postcolonical countries like India,
conventional ways of knowledge production have become obsolete.
Which of the following can be logically inferred from the above statements?
(i) Social science disciplines have become obsolete.
(ii) Social science disciplines had a pre-colonial origin
(iii) Social science disciplines always promote colonialism
(iv) Social science must maintain disciplinary boundaries
(A) (ii) only     (B) (i) and (iii) only
(C) (ii) and (iv) only    (D) (iii) and (iv) only
07. Ans: (A)
Sol: Until the colonial period means pre-colonial origin. Other options can’t be inferred.
books
Watch Tv
13
12
7
17
44
15
19
Play sports
: 	5 	: 	 	Questions & Solutions
08. Two and a quarter hours back, when seen in a mirror, the reflection of a wall clock without
number markings seemed to show 1:30. What is the actual current time shown by the clock?
(A) 8:15   (B) 11:15   (C) 12:15   (D) 12:45
08. Ans: (D)
Sol: Time back =
4
1
2 = 2 hrs 15 min
Clock time (C.T) + Mirror Time (M.T) = 12
?
1.30
? The actual time shown by the clock = 10.30 + 2.15 = 12.45
09. M and N start from the same location. M travels 10 km East and then 10 km North-East. N travels
5 km South and then 4 km South-East. What is  the shortest distance (in km) between M and N at
the end of their travel?
(A) 18.60   (B) 22.50 (C) 20.61   (D) 25.00
09. Ans: (C)
Sol: From the given data, the following diagram is possible
4
DE
45 cos
o
?
DE = cos45
o
× 4
= 2.828 km
4
EN
45 sin
o
?
EN = sin 45
o
× 4 = 2.828 km
60
? C.T = 12.00
1.30
10.30
10 km
5 km
5 km
E
N
4 km
B
M
10 km
45 ? D
A
C
Page 4

: 	2 	: 	 		Gate 2016 – ECE 	– 	Set	2
Q.1 – Q.5 Carry one mark each
01. Based on the given statements, select the appropriate option with respect to grammar a
statements.
(i) The height of Mr. X is 6 feet. (ii) The height of Mr. Y is 5 feet
(A) Mr. X is longer than Mr. Y
(B) Mr. X  is more elongated than Mr. Y
(C) Mr. X is taller than Mr. Y
(D) Mr. X is lengthier than Mr. Y
01. Ans: (C)
Sol:  In degrees of comparison Mr. X is taller than Mr. Y is apt.
Positive degree – tall
Comparative degree  – taller
Superlative degree – tallest
02. The students _____ the teachers on teachers   day for twenty years of dedicated teaching.
(A) facilitated  (B) felicitated    (C) fantasized (D) facilitated
02. Ans: (B)
Sol: Felicitate means honour.
03. After India’s cricket world cup victory in 1985, Shrotria who was playing both tennis and cricket
till then, decided to concentrate only on cricket. And the  rest is history.
What does the underlined phrase mean  in this context?
(A) history will rest in peace  (B) rest is recorded in history books
(C) rest is well known   (D) rest in archaic
03. Ans: (C)
Sol: ‘rest is history’ is an idiomatic expression which means ‘rest is well known
04. Given (9 inches)
1/2
= (0.25 yards)
1/2
, which one of the following statements is TRUE?
(A) 3 inches = 0.5 yards   (B) 9 inches = 1.5 yards
(C) 9 inches = 0.25 yards  (D) 81 inches = 0.0625 yards
04. Ans: (C)
Sol: Given (9 inches)
1/2
= (0.25 yards)
1/2

9 inches = 0.25 yards
05. S, M, E and F  are working in shifts in a term to finish a project. M works with twice the efficiency
of other but for half as many days as E worked. S and M have 6 hour shifts in a day, whereas E
and F have 12 hours shifts. What is the ratio of contribution of M to contribution of E in the
project?
(A) 1:1        (B) 1:2   (C) 1:4      (D) 2:1
05. Ans: (B)
Sol: M efficiency = 2 [ efficiency of S,E, and F]
Contribution of M in the project = x days × 6 hrs ×2
Contribution of E in the project = 2x days × 12 hrs ×1
Contribution of M : Contribution of E
x × 6 × 2 : 2x × 12 × 1
1 : 2
: 	3 	: 	 	Questions & Solutions
Q.6 – Q.10 Carry two marks each
06. The Venn diagram shows the preference of the student population for leisure activities.
From the data given, the number of students who like to read books or play sports is __________.
(A) 44 (B) 51
(C) 79 (D) 108
06. Ans: (D)
Sol: Read books = n(R) = 12 + 44 + 7 + 13
= 76
Play sports = n(s) = 44 + 7 + 17 +15
= 83
n (R ?? S) = 44 + 7
= 51
n (R ? S) = n (R) + n (S) – n (R ? S)
= 76 + 83 – 51
= 108
07. Social science disciplines were in existence in an amorphous form until the colonial period when
they were institutionalized. In varying degrees, they were intended to further the colonial interest.
In the time of globalization and the economic rise of postcolonical countries like India,
conventional ways of knowledge production have become obsolete.
Which of the following can be logically inferred from the above statements?
(i) Social science disciplines have become obsolete.
(ii) Social science disciplines had a pre-colonial origin
(iii) Social science disciplines always promote colonialism
(iv) Social science must maintain disciplinary boundaries
(A) (ii) only     (B) (i) and (iii) only
(C) (ii) and (iv) only    (D) (iii) and (iv) only
07. Ans: (A)
Sol: Until the colonial period means pre-colonial origin. Other options can’t be inferred.
books
Watch Tv
13
12
7
17
44
15
19
Play sports
: 	5 	: 	 	Questions & Solutions
08. Two and a quarter hours back, when seen in a mirror, the reflection of a wall clock without
number markings seemed to show 1:30. What is the actual current time shown by the clock?
(A) 8:15   (B) 11:15   (C) 12:15   (D) 12:45
08. Ans: (D)
Sol: Time back =
4
1
2 = 2 hrs 15 min
Clock time (C.T) + Mirror Time (M.T) = 12
?
1.30
? The actual time shown by the clock = 10.30 + 2.15 = 12.45
09. M and N start from the same location. M travels 10 km East and then 10 km North-East. N travels
5 km South and then 4 km South-East. What is  the shortest distance (in km) between M and N at
the end of their travel?
(A) 18.60   (B) 22.50 (C) 20.61   (D) 25.00
09. Ans: (C)
Sol: From the given data, the following diagram is possible
4
DE
45 cos
o
?
DE = cos45
o
× 4
= 2.828 km
4
EN
45 sin
o
?
EN = sin 45
o
× 4 = 2.828 km
60
? C.T = 12.00
1.30
10.30
10 km
5 km
5 km
E
N
4 km
B
M
10 km
45 ? D
A
C
: 	6 	: 	 		Gate 2016 – ECE 	– 	Set	2
sin 45
o
=
4
EN
EN = sin 45
o
× 4 = 2.828 km
CN = NE + CE = 2.828 + 5
= 7.828 km
CB = AB – AC = 10 – 2.828
= 7.171 km
(NB)
2
= (NC)
2
+ (BC)
2

= (7.828)
2
+ (7.171)
2

? NB = ?? ? ?
2 2
171 . 7 828 . 7 ? = 10.616 km
? NM = NB + BN = 10.616 + 10  = 20.61 km
10. A wire of length 340 mm is to be cut into two parts. One of the parts is to be made into a square
and the other into a rectangle where sides are in the ratio of 1:2. What is the length of the side of
the square (in mm) such that the combined area of the square and the rectangle is a MINIMUM?
(A) 30 (B) 40          (C) 120 (D) 180
10. Ans: (B)
Sol:  Length of the wire = 340 m
Perimeter of rectangle =
?
?
?
?
?
?
?
3
x 2
3
x
2
= 2x
Perimeter of square = 340 – 2x
Side of square
4
x 2 340 ?
?
Total area = Area of square + Area of rectangle

3
x 2
3
x
4
x 2 340
2
? ?
?
?
?
?
?
? ?
?
9
x 2
4
x 2 340
2
2
?
?
?
?
?
?
? ?
?
Combined area of square + rectangle = minimum
f ?(x) = 0
??
2
2
x
9
2
4
x 2 340
x f ?
?
?
?
?
?
? ?
?
?? 0
4
x 2 340
x
9
4
x f
2
?
?
? ? ?
x
x
3
x 2
3
x
Square Rectangle
Page 5

: 	2 	: 	 		Gate 2016 – ECE 	– 	Set	2
Q.1 – Q.5 Carry one mark each
01. Based on the given statements, select the appropriate option with respect to grammar a
statements.
(i) The height of Mr. X is 6 feet. (ii) The height of Mr. Y is 5 feet
(A) Mr. X is longer than Mr. Y
(B) Mr. X  is more elongated than Mr. Y
(C) Mr. X is taller than Mr. Y
(D) Mr. X is lengthier than Mr. Y
01. Ans: (C)
Sol:  In degrees of comparison Mr. X is taller than Mr. Y is apt.
Positive degree – tall
Comparative degree  – taller
Superlative degree – tallest
02. The students _____ the teachers on teachers   day for twenty years of dedicated teaching.
(A) facilitated  (B) felicitated    (C) fantasized (D) facilitated
02. Ans: (B)
Sol: Felicitate means honour.
03. After India’s cricket world cup victory in 1985, Shrotria who was playing both tennis and cricket
till then, decided to concentrate only on cricket. And the  rest is history.
What does the underlined phrase mean  in this context?
(A) history will rest in peace  (B) rest is recorded in history books
(C) rest is well known   (D) rest in archaic
03. Ans: (C)
Sol: ‘rest is history’ is an idiomatic expression which means ‘rest is well known
04. Given (9 inches)
1/2
= (0.25 yards)
1/2
, which one of the following statements is TRUE?
(A) 3 inches = 0.5 yards   (B) 9 inches = 1.5 yards
(C) 9 inches = 0.25 yards  (D) 81 inches = 0.0625 yards
04. Ans: (C)
Sol: Given (9 inches)
1/2
= (0.25 yards)
1/2

9 inches = 0.25 yards
05. S, M, E and F  are working in shifts in a term to finish a project. M works with twice the efficiency
of other but for half as many days as E worked. S and M have 6 hour shifts in a day, whereas E
and F have 12 hours shifts. What is the ratio of contribution of M to contribution of E in the
project?
(A) 1:1        (B) 1:2   (C) 1:4      (D) 2:1
05. Ans: (B)
Sol: M efficiency = 2 [ efficiency of S,E, and F]
Contribution of M in the project = x days × 6 hrs ×2
Contribution of E in the project = 2x days × 12 hrs ×1
Contribution of M : Contribution of E
x × 6 × 2 : 2x × 12 × 1
1 : 2
: 	3 	: 	 	Questions & Solutions
Q.6 – Q.10 Carry two marks each
06. The Venn diagram shows the preference of the student population for leisure activities.
From the data given, the number of students who like to read books or play sports is __________.
(A) 44 (B) 51
(C) 79 (D) 108
06. Ans: (D)
Sol: Read books = n(R) = 12 + 44 + 7 + 13
= 76
Play sports = n(s) = 44 + 7 + 17 +15
= 83
n (R ?? S) = 44 + 7
= 51
n (R ? S) = n (R) + n (S) – n (R ? S)
= 76 + 83 – 51
= 108
07. Social science disciplines were in existence in an amorphous form until the colonial period when
they were institutionalized. In varying degrees, they were intended to further the colonial interest.
In the time of globalization and the economic rise of postcolonical countries like India,
conventional ways of knowledge production have become obsolete.
Which of the following can be logically inferred from the above statements?
(i) Social science disciplines have become obsolete.
(ii) Social science disciplines had a pre-colonial origin
(iii) Social science disciplines always promote colonialism
(iv) Social science must maintain disciplinary boundaries
(A) (ii) only     (B) (i) and (iii) only
(C) (ii) and (iv) only    (D) (iii) and (iv) only
07. Ans: (A)
Sol: Until the colonial period means pre-colonial origin. Other options can’t be inferred.
books
Watch Tv
13
12
7
17
44
15
19
Play sports
: 	5 	: 	 	Questions & Solutions
08. Two and a quarter hours back, when seen in a mirror, the reflection of a wall clock without
number markings seemed to show 1:30. What is the actual current time shown by the clock?
(A) 8:15   (B) 11:15   (C) 12:15   (D) 12:45
08. Ans: (D)
Sol: Time back =
4
1
2 = 2 hrs 15 min
Clock time (C.T) + Mirror Time (M.T) = 12
?
1.30
? The actual time shown by the clock = 10.30 + 2.15 = 12.45
09. M and N start from the same location. M travels 10 km East and then 10 km North-East. N travels
5 km South and then 4 km South-East. What is  the shortest distance (in km) between M and N at
the end of their travel?
(A) 18.60   (B) 22.50 (C) 20.61   (D) 25.00
09. Ans: (C)
Sol: From the given data, the following diagram is possible
4
DE
45 cos
o
?
DE = cos45
o
× 4
= 2.828 km
4
EN
45 sin
o
?
EN = sin 45
o
× 4 = 2.828 km
60
? C.T = 12.00
1.30
10.30
10 km
5 km
5 km
E
N
4 km
B
M
10 km
45 ? D
A
C
: 	6 	: 	 		Gate 2016 – ECE 	– 	Set	2
sin 45
o
=
4
EN
EN = sin 45
o
× 4 = 2.828 km
CN = NE + CE = 2.828 + 5
= 7.828 km
CB = AB – AC = 10 – 2.828
= 7.171 km
(NB)
2
= (NC)
2
+ (BC)
2

= (7.828)
2
+ (7.171)
2

? NB = ?? ? ?
2 2
171 . 7 828 . 7 ? = 10.616 km
? NM = NB + BN = 10.616 + 10  = 20.61 km
10. A wire of length 340 mm is to be cut into two parts. One of the parts is to be made into a square
and the other into a rectangle where sides are in the ratio of 1:2. What is the length of the side of
the square (in mm) such that the combined area of the square and the rectangle is a MINIMUM?
(A) 30 (B) 40          (C) 120 (D) 180
10. Ans: (B)
Sol:  Length of the wire = 340 m
Perimeter of rectangle =
?
?
?
?
?
?
?
3
x 2
3
x
2
= 2x
Perimeter of square = 340 – 2x
Side of square
4
x 2 340 ?
?
Total area = Area of square + Area of rectangle

3
x 2
3
x
4
x 2 340
2
? ?
?
?
?
?
?
? ?
?
9
x 2
4
x 2 340
2
2
?
?
?
?
?
?
? ?
?
Combined area of square + rectangle = minimum
f ?(x) = 0
??
2
2
x
9
2
4
x 2 340
x f ?
?
?
?
?
?
? ?
?
?? 0
4
x 2 340
x
9
4
x f
2
?
?
? ? ?
x
x
3
x 2
3
x
Square Rectangle
: 	7 	: 	 	Questions & Solutions
?? x 2 340
4
1
x
9
4
2
? ?
= x = 90
Side of square = mm 40
4
x 2 340
?
?
Another method:
Elimination procedure from alternatives option [C] and [D] are not possible because area may be
maximum.
Option (A)
Side of the square = x = 30 mm
Perimeter of the square = 30 + 30 + 30 + 30 = 120 mm
? Perimeter of the rectangle = 340 – 120 = 220 mm
2x + 2  × 2x = 220
x = 37
2x =  37 ×2 = 74
Area of square = x
2
= (30)
2
= 900
Area of rectangle = x × 2x = 37 × 74 = 2738
Total area = 900 + 2738 = 3638 mm
2

Option (B)
Side of the square = x = 40 mm
Perimeter of the square = 340 – 160 = 180 mm
2x + 2 × 2x = 180 mm
6x = 180 mm
x = 30 mm
Area of the square = 40 × 40 = 1600 mm
2

Area of the rectangle = 30 × 2  × 30 = 1800 mm
2

? Total area = 1600 + 1800 = 3400 mm
2

? 3400 mm
2
< 3638 mm
2

Option B is correct.
Q.1 – Q.25 Carry one mark each.
01. The value of x for which the matrix A =
?
?
?
?
?
?
?
?
?
?
? ? ? ? x 9 4 6
13 7 9
4 2 3
has zero as an eigen value is ________
01. Ans: x = 1
Sol: For eigen value of A is to be zero, det (A) = 0
3 {( ?63 + 7x ) + 52} ?2{ ( ?81 + 9x)+78} + 4 { ?36 + 42} = 0
? x = 1
```

## FAQs on Electronics and Communication Engineering (EC) 2016 GATE Paper (Set B) with solution - GATE Past Year Papers for Practice (All Branches)

 1. What is Electronics and Communication Engineering (EC)? Ans. Electronics and Communication Engineering (EC) is a field of engineering that deals with the study and application of electronic devices, circuits, and communication systems. It involves designing, developing, and testing various electronic components and systems for communication purposes.
 2. What is the importance of EC in today's world? Ans. Electronics and Communication Engineering (EC) plays a crucial role in today's world as it is responsible for the development and advancement of communication systems. It enables efficient transmission and reception of information through various means such as mobile networks, satellite communication, internet, etc. Additionally, EC also contributes to the innovation and improvement of electronic devices and technologies, making our lives easier and more convenient.
 3. What are the career prospects for EC graduates? Ans. EC graduates have a wide range of career opportunities in both the public and private sectors. They can work in industries such as telecommunications, electronics manufacturing, information technology, research and development, and government organizations. Some common job roles for EC graduates include electronics engineer, communication engineer, network engineer, embedded systems engineer, and research scientist.
 4. How can one prepare for the Electronics and Communication Engineering (EC) GATE exam? Ans. To prepare for the EC GATE exam, one should start by understanding the exam pattern and syllabus. It is important to study the core concepts and fundamentals of electronics and communication engineering thoroughly. Practice previous years' question papers and take mock tests to assess your preparation level. Additionally, referring to standard textbooks, joining coaching classes or online courses, and solving sample papers can also be helpful in preparation.
 5. What are some important topics to focus on for the EC GATE exam? Ans. Some important topics to focus on for the EC GATE exam include electronic devices and circuits, digital electronics, analog and digital communication systems, electromagnetic theory, control systems, signals and systems, network analysis, and microprocessors. It is important to have a clear understanding of these topics and their applications in order to perform well in the exam.

## GATE Past Year Papers for Practice (All Branches)

407 docs|127 tests

## GATE Past Year Papers for Practice (All Branches)

407 docs|127 tests
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Track your progress, build streaks, highlight & save important lessons and more! (Scan QR code)
Related Searches

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

;