Page 1
SESSION  3
Page 2
SESSION  3
2013 Question Booklet Code
EEC
1/20
EE : ELECTRICAL ENGINEERING
Duration: Three Hours Maximum Marks: 100
Read the following instructions carefully.
1. Do not open the seal of the Question Booklet until you are asked to do so by the invigilator.
2. Take out the Optical Response Sheet (ORS) from this Question Booklet without breaking the seal
and read the instructions printed on the ORS carefully. If you find that either:
a. The Question Booklet Code printed at the right hand top corner of this page does not match with
the Question Booklet Code at the right hand top corner of the ORS or
b. The Question Paper Code preceding the Registration number on the ORS is not EE,
then exchange the booklet immediately with a new sealed Question Booklet.
3. On the right half hand side of the ORS, using ONLY a black ink ballpoint pen, (i) darken the
appropriate bubble under each digit of your registration number and (ii) write your registration number,
your name and name of the examination centre and put your signature at the specified location.
4. This Question Booklet contains 20 pages including blank pages for rough work. After you are
permitted to open the seal, check all pages and report discrepancies, if any, to the invigilator.
5. There are a total of 65 questions carrying 100 marks. All these questions are of objective type. Each
question has only one correct answer. Questions must be answered on the left hand side of the ORS
by darkening the appropriate bubble (marked A, B, C, D) using ONLY a black ink ballpoint pen
against the question number. For each question darken the bubble of the correct answer. More
than one answer bubbled against a question will be treated as an incorrect response.
6. Since bubbles darkened by the black ink ballpoint pen cannot be erased, candidates should darken the
bubbles in the ORS very carefully.
7. Questions Q.1 – Q.25 carry 1 mark each. Questions Q.26 – Q.55 carry 2 marks each. The 2 marks
questions include two pairs of common data questions and two pairs of linked answer questions. The
answer to the second question of the linked answer questions depends on the answer to the first
question of the pair. If the first question in the linked pair is wrongly answered or is not attempted,
then the answer to the second question in the pair will not be evaluated.
8. Questions Q.56 – Q.65 belong to General Aptitude (GA) section and carry a total of 15 marks.
Questions Q.56 – Q.60 carry 1 mark each, and questions Q.61 – Q.65 carry 2 marks each.
9. Questions not attempted will result in zero mark and wrong answers will result in NEGATIVE
marks. For all 1 mark questions, ? mark will be deducted for each wrong answer. For all 2 marks
questions, ? mark will be deducted for each wrong answer. However, in the case of the linked
answer question pair, there will be negative marks only for wrong answer to the first question and no
negative marks for wrong answer to the second question.
10. Calculator is allowed whereas charts, graph sheets or tables are NOT allowed in the examination hall.
11. Rough work can be done on the Question Booklet itself. Blank pages are provided at the end of the
Question Booklet for rough work.
12. Before the start of the examination, write your name and registration number in the space provided
below using a black ink ballpoint pen.
Name
Registration Number EE
C
Page 3
SESSION  3
2013 Question Booklet Code
EEC
1/20
EE : ELECTRICAL ENGINEERING
Duration: Three Hours Maximum Marks: 100
Read the following instructions carefully.
1. Do not open the seal of the Question Booklet until you are asked to do so by the invigilator.
2. Take out the Optical Response Sheet (ORS) from this Question Booklet without breaking the seal
and read the instructions printed on the ORS carefully. If you find that either:
a. The Question Booklet Code printed at the right hand top corner of this page does not match with
the Question Booklet Code at the right hand top corner of the ORS or
b. The Question Paper Code preceding the Registration number on the ORS is not EE,
then exchange the booklet immediately with a new sealed Question Booklet.
3. On the right half hand side of the ORS, using ONLY a black ink ballpoint pen, (i) darken the
appropriate bubble under each digit of your registration number and (ii) write your registration number,
your name and name of the examination centre and put your signature at the specified location.
4. This Question Booklet contains 20 pages including blank pages for rough work. After you are
permitted to open the seal, check all pages and report discrepancies, if any, to the invigilator.
5. There are a total of 65 questions carrying 100 marks. All these questions are of objective type. Each
question has only one correct answer. Questions must be answered on the left hand side of the ORS
by darkening the appropriate bubble (marked A, B, C, D) using ONLY a black ink ballpoint pen
against the question number. For each question darken the bubble of the correct answer. More
than one answer bubbled against a question will be treated as an incorrect response.
6. Since bubbles darkened by the black ink ballpoint pen cannot be erased, candidates should darken the
bubbles in the ORS very carefully.
7. Questions Q.1 – Q.25 carry 1 mark each. Questions Q.26 – Q.55 carry 2 marks each. The 2 marks
questions include two pairs of common data questions and two pairs of linked answer questions. The
answer to the second question of the linked answer questions depends on the answer to the first
question of the pair. If the first question in the linked pair is wrongly answered or is not attempted,
then the answer to the second question in the pair will not be evaluated.
8. Questions Q.56 – Q.65 belong to General Aptitude (GA) section and carry a total of 15 marks.
Questions Q.56 – Q.60 carry 1 mark each, and questions Q.61 – Q.65 carry 2 marks each.
9. Questions not attempted will result in zero mark and wrong answers will result in NEGATIVE
marks. For all 1 mark questions, ? mark will be deducted for each wrong answer. For all 2 marks
questions, ? mark will be deducted for each wrong answer. However, in the case of the linked
answer question pair, there will be negative marks only for wrong answer to the first question and no
negative marks for wrong answer to the second question.
10. Calculator is allowed whereas charts, graph sheets or tables are NOT allowed in the examination hall.
11. Rough work can be done on the Question Booklet itself. Blank pages are provided at the end of the
Question Booklet for rough work.
12. Before the start of the examination, write your name and registration number in the space provided
below using a black ink ballpoint pen.
Name
Registration Number EE
C
2013 ELECTRICAL ENGINEERING  EE
EEC 2/20
Q.1 to Q.25 carry one mark each.
Q.1
The curl of the gradient of the scalar field defined by
2 2 2
2 3 4 V x y y z z x = + + is
(A) 4 6 8 xy yz zx + +
x y z
a a a
(B) 4 6 8 + +
x y z
a a a
(C)
( ) ( ) ( )
2 2 2
4 4 2 6 3 8 xy z x yz y zx + + + + +
x y z
a a a
(D) 0
Q.2
A continuous random variable X has a probability density function , ) (
x
e x f
 = 8 < < x 0 . Then
} 1 { > X P is
(A) 0.368 (B) 0.5 (C) 0.632 (D) 1.0
Q.3
The flux density at a point in space is given by 4 2 8 x ky = + +
x y z
B a a a Wb/m
2
. The value of
constant k must be equal to
(A) –2 (B) –0.5 (C) +0.5 (D) +2
Q.4 A singlephase transformer has noload loss of 64 W, as obtained from an opencircuit test. When a
shortcircuit test is performed on it with 90% of the rated currents flowing in its both LV and HV
windings, the measured loss is 81 W. The transformer has maximum efficiency when operated at
(A) 50.0% of the rated current.
(B) 64.0% of the rated current.
(C) 80.0% of the rated current.
(D) 88.8% of the rated current.
Q.5 A singlephase load is supplied by a singlephase voltage source. If the current flowing from the
load to the source is
0
10 150 ?  A and if the voltage at the load terminals is
0
100 60 ? V, then the
(A) load absorbs real power and delivers reactive power.
(B) load absorbs real power and absorbs reactive power.
(C) load delivers real power and delivers reactive power.
(D) load delivers real power and absorbs reactive power.
Q.6 A source ( ) cos100
s
v t V t p =
has an internal impedance of
(4 + j3) ?. If a purely resistive load
connected to this source has to extract the maximum power out of the source, its value in ? should
be
(A) 3 (B) 4 (C) 5 (D) 7
Q.7
Two systems with impulse responses
1
( ) h t and
2
( ) h t are connected in cascade. Then the overall
impulse response of the cascaded system is given by
(A) product of
1
( ) h t and
2
( ) h t
(B) sum of
1
( ) h t and
2
( ) h t
(C) convolution of
1
( ) h t and
2
( ) h t
(D) subtraction of
2
( ) h t from
1
( ) h t
Page 4
SESSION  3
2013 Question Booklet Code
EEC
1/20
EE : ELECTRICAL ENGINEERING
Duration: Three Hours Maximum Marks: 100
Read the following instructions carefully.
1. Do not open the seal of the Question Booklet until you are asked to do so by the invigilator.
2. Take out the Optical Response Sheet (ORS) from this Question Booklet without breaking the seal
and read the instructions printed on the ORS carefully. If you find that either:
a. The Question Booklet Code printed at the right hand top corner of this page does not match with
the Question Booklet Code at the right hand top corner of the ORS or
b. The Question Paper Code preceding the Registration number on the ORS is not EE,
then exchange the booklet immediately with a new sealed Question Booklet.
3. On the right half hand side of the ORS, using ONLY a black ink ballpoint pen, (i) darken the
appropriate bubble under each digit of your registration number and (ii) write your registration number,
your name and name of the examination centre and put your signature at the specified location.
4. This Question Booklet contains 20 pages including blank pages for rough work. After you are
permitted to open the seal, check all pages and report discrepancies, if any, to the invigilator.
5. There are a total of 65 questions carrying 100 marks. All these questions are of objective type. Each
question has only one correct answer. Questions must be answered on the left hand side of the ORS
by darkening the appropriate bubble (marked A, B, C, D) using ONLY a black ink ballpoint pen
against the question number. For each question darken the bubble of the correct answer. More
than one answer bubbled against a question will be treated as an incorrect response.
6. Since bubbles darkened by the black ink ballpoint pen cannot be erased, candidates should darken the
bubbles in the ORS very carefully.
7. Questions Q.1 – Q.25 carry 1 mark each. Questions Q.26 – Q.55 carry 2 marks each. The 2 marks
questions include two pairs of common data questions and two pairs of linked answer questions. The
answer to the second question of the linked answer questions depends on the answer to the first
question of the pair. If the first question in the linked pair is wrongly answered or is not attempted,
then the answer to the second question in the pair will not be evaluated.
8. Questions Q.56 – Q.65 belong to General Aptitude (GA) section and carry a total of 15 marks.
Questions Q.56 – Q.60 carry 1 mark each, and questions Q.61 – Q.65 carry 2 marks each.
9. Questions not attempted will result in zero mark and wrong answers will result in NEGATIVE
marks. For all 1 mark questions, ? mark will be deducted for each wrong answer. For all 2 marks
questions, ? mark will be deducted for each wrong answer. However, in the case of the linked
answer question pair, there will be negative marks only for wrong answer to the first question and no
negative marks for wrong answer to the second question.
10. Calculator is allowed whereas charts, graph sheets or tables are NOT allowed in the examination hall.
11. Rough work can be done on the Question Booklet itself. Blank pages are provided at the end of the
Question Booklet for rough work.
12. Before the start of the examination, write your name and registration number in the space provided
below using a black ink ballpoint pen.
Name
Registration Number EE
C
2013 ELECTRICAL ENGINEERING  EE
EEC 2/20
Q.1 to Q.25 carry one mark each.
Q.1
The curl of the gradient of the scalar field defined by
2 2 2
2 3 4 V x y y z z x = + + is
(A) 4 6 8 xy yz zx + +
x y z
a a a
(B) 4 6 8 + +
x y z
a a a
(C)
( ) ( ) ( )
2 2 2
4 4 2 6 3 8 xy z x yz y zx + + + + +
x y z
a a a
(D) 0
Q.2
A continuous random variable X has a probability density function , ) (
x
e x f
 = 8 < < x 0 . Then
} 1 { > X P is
(A) 0.368 (B) 0.5 (C) 0.632 (D) 1.0
Q.3
The flux density at a point in space is given by 4 2 8 x ky = + +
x y z
B a a a Wb/m
2
. The value of
constant k must be equal to
(A) –2 (B) –0.5 (C) +0.5 (D) +2
Q.4 A singlephase transformer has noload loss of 64 W, as obtained from an opencircuit test. When a
shortcircuit test is performed on it with 90% of the rated currents flowing in its both LV and HV
windings, the measured loss is 81 W. The transformer has maximum efficiency when operated at
(A) 50.0% of the rated current.
(B) 64.0% of the rated current.
(C) 80.0% of the rated current.
(D) 88.8% of the rated current.
Q.5 A singlephase load is supplied by a singlephase voltage source. If the current flowing from the
load to the source is
0
10 150 ?  A and if the voltage at the load terminals is
0
100 60 ? V, then the
(A) load absorbs real power and delivers reactive power.
(B) load absorbs real power and absorbs reactive power.
(C) load delivers real power and delivers reactive power.
(D) load delivers real power and absorbs reactive power.
Q.6 A source ( ) cos100
s
v t V t p =
has an internal impedance of
(4 + j3) ?. If a purely resistive load
connected to this source has to extract the maximum power out of the source, its value in ? should
be
(A) 3 (B) 4 (C) 5 (D) 7
Q.7
Two systems with impulse responses
1
( ) h t and
2
( ) h t are connected in cascade. Then the overall
impulse response of the cascaded system is given by
(A) product of
1
( ) h t and
2
( ) h t
(B) sum of
1
( ) h t and
2
( ) h t
(C) convolution of
1
( ) h t and
2
( ) h t
(D) subtraction of
2
( ) h t from
1
( ) h t
2013 ELECTRICAL ENGINEERING  EE
EEC 3/20
Q.8 Which one of the following statements is NOT TRUE for a continuous time causal and stable
LTI system?
(A) All the poles of the system must lie on the left side of the j?
axis.
(B) Zeros of the system can lie anywhere in the splane.
(C) All the poles must lie within 1. s =
(D) All the roots of the characteristic equation must be located on the left side of the j? axis.
Q.9 The impulse response of a system is ) ( ) ( t u t t h = . For an input , ) 1 (  t u the output is
(A) ) (
2
2
t u
t
(B) ) 1 (
2
) 1 (
  t u
t t
(C) ) 1 (
2
2
) 1 (
  t u
t
(D) ) 1 (
2
1
2
  t u
t
Q.10 Assuming zero initial condition, the response ) (t y of the system given below to a unit step input
) (t u is
(A) ( ) u t (B) ( ) t u t (C) ) (
2
2
t u
t
(D) ( )
t
e u t

Q.11
The transfer function
) (
) (
1
2
s V
s V
of the circuit shown below is
(A)
1
1 5 . 0
+
+
s
s
(B)
2
6 3
+
+
s
s
(C)
1
2
+
+
s
s
(D)
2
1
+
+
s
s
Page 5
SESSION  3
2013 Question Booklet Code
EEC
1/20
EE : ELECTRICAL ENGINEERING
Duration: Three Hours Maximum Marks: 100
Read the following instructions carefully.
1. Do not open the seal of the Question Booklet until you are asked to do so by the invigilator.
2. Take out the Optical Response Sheet (ORS) from this Question Booklet without breaking the seal
and read the instructions printed on the ORS carefully. If you find that either:
a. The Question Booklet Code printed at the right hand top corner of this page does not match with
the Question Booklet Code at the right hand top corner of the ORS or
b. The Question Paper Code preceding the Registration number on the ORS is not EE,
then exchange the booklet immediately with a new sealed Question Booklet.
3. On the right half hand side of the ORS, using ONLY a black ink ballpoint pen, (i) darken the
appropriate bubble under each digit of your registration number and (ii) write your registration number,
your name and name of the examination centre and put your signature at the specified location.
4. This Question Booklet contains 20 pages including blank pages for rough work. After you are
permitted to open the seal, check all pages and report discrepancies, if any, to the invigilator.
5. There are a total of 65 questions carrying 100 marks. All these questions are of objective type. Each
question has only one correct answer. Questions must be answered on the left hand side of the ORS
by darkening the appropriate bubble (marked A, B, C, D) using ONLY a black ink ballpoint pen
against the question number. For each question darken the bubble of the correct answer. More
than one answer bubbled against a question will be treated as an incorrect response.
6. Since bubbles darkened by the black ink ballpoint pen cannot be erased, candidates should darken the
bubbles in the ORS very carefully.
7. Questions Q.1 – Q.25 carry 1 mark each. Questions Q.26 – Q.55 carry 2 marks each. The 2 marks
questions include two pairs of common data questions and two pairs of linked answer questions. The
answer to the second question of the linked answer questions depends on the answer to the first
question of the pair. If the first question in the linked pair is wrongly answered or is not attempted,
then the answer to the second question in the pair will not be evaluated.
8. Questions Q.56 – Q.65 belong to General Aptitude (GA) section and carry a total of 15 marks.
Questions Q.56 – Q.60 carry 1 mark each, and questions Q.61 – Q.65 carry 2 marks each.
9. Questions not attempted will result in zero mark and wrong answers will result in NEGATIVE
marks. For all 1 mark questions, ? mark will be deducted for each wrong answer. For all 2 marks
questions, ? mark will be deducted for each wrong answer. However, in the case of the linked
answer question pair, there will be negative marks only for wrong answer to the first question and no
negative marks for wrong answer to the second question.
10. Calculator is allowed whereas charts, graph sheets or tables are NOT allowed in the examination hall.
11. Rough work can be done on the Question Booklet itself. Blank pages are provided at the end of the
Question Booklet for rough work.
12. Before the start of the examination, write your name and registration number in the space provided
below using a black ink ballpoint pen.
Name
Registration Number EE
C
2013 ELECTRICAL ENGINEERING  EE
EEC 2/20
Q.1 to Q.25 carry one mark each.
Q.1
The curl of the gradient of the scalar field defined by
2 2 2
2 3 4 V x y y z z x = + + is
(A) 4 6 8 xy yz zx + +
x y z
a a a
(B) 4 6 8 + +
x y z
a a a
(C)
( ) ( ) ( )
2 2 2
4 4 2 6 3 8 xy z x yz y zx + + + + +
x y z
a a a
(D) 0
Q.2
A continuous random variable X has a probability density function , ) (
x
e x f
 = 8 < < x 0 . Then
} 1 { > X P is
(A) 0.368 (B) 0.5 (C) 0.632 (D) 1.0
Q.3
The flux density at a point in space is given by 4 2 8 x ky = + +
x y z
B a a a Wb/m
2
. The value of
constant k must be equal to
(A) –2 (B) –0.5 (C) +0.5 (D) +2
Q.4 A singlephase transformer has noload loss of 64 W, as obtained from an opencircuit test. When a
shortcircuit test is performed on it with 90% of the rated currents flowing in its both LV and HV
windings, the measured loss is 81 W. The transformer has maximum efficiency when operated at
(A) 50.0% of the rated current.
(B) 64.0% of the rated current.
(C) 80.0% of the rated current.
(D) 88.8% of the rated current.
Q.5 A singlephase load is supplied by a singlephase voltage source. If the current flowing from the
load to the source is
0
10 150 ?  A and if the voltage at the load terminals is
0
100 60 ? V, then the
(A) load absorbs real power and delivers reactive power.
(B) load absorbs real power and absorbs reactive power.
(C) load delivers real power and delivers reactive power.
(D) load delivers real power and absorbs reactive power.
Q.6 A source ( ) cos100
s
v t V t p =
has an internal impedance of
(4 + j3) ?. If a purely resistive load
connected to this source has to extract the maximum power out of the source, its value in ? should
be
(A) 3 (B) 4 (C) 5 (D) 7
Q.7
Two systems with impulse responses
1
( ) h t and
2
( ) h t are connected in cascade. Then the overall
impulse response of the cascaded system is given by
(A) product of
1
( ) h t and
2
( ) h t
(B) sum of
1
( ) h t and
2
( ) h t
(C) convolution of
1
( ) h t and
2
( ) h t
(D) subtraction of
2
( ) h t from
1
( ) h t
2013 ELECTRICAL ENGINEERING  EE
EEC 3/20
Q.8 Which one of the following statements is NOT TRUE for a continuous time causal and stable
LTI system?
(A) All the poles of the system must lie on the left side of the j?
axis.
(B) Zeros of the system can lie anywhere in the splane.
(C) All the poles must lie within 1. s =
(D) All the roots of the characteristic equation must be located on the left side of the j? axis.
Q.9 The impulse response of a system is ) ( ) ( t u t t h = . For an input , ) 1 (  t u the output is
(A) ) (
2
2
t u
t
(B) ) 1 (
2
) 1 (
  t u
t t
(C) ) 1 (
2
2
) 1 (
  t u
t
(D) ) 1 (
2
1
2
  t u
t
Q.10 Assuming zero initial condition, the response ) (t y of the system given below to a unit step input
) (t u is
(A) ( ) u t (B) ( ) t u t (C) ) (
2
2
t u
t
(D) ( )
t
e u t

Q.11
The transfer function
) (
) (
1
2
s V
s V
of the circuit shown below is
(A)
1
1 5 . 0
+
+
s
s
(B)
2
6 3
+
+
s
s
(C)
1
2
+
+
s
s
(D)
2
1
+
+
s
s
2013 ELECTRICAL ENGINEERING  EE
EEC 4/20
Q.12 In the circuit shown below what is the output voltage (V
out
) in Volts if a silicon transistor Q and an
ideal opamp are used?
(A) 15 (B) 0.7 (C) 0.7 (D) 15
Q.13
The equation
?
?
?
?
?
?
=
?
?
?
?
?
?
?
?
?
?
?
?
  0
0
1 1
2 2
2
1
x
x
has
(A) no solution
(B) only one solution
?
?
?
?
?
?
=
?
?
?
?
?
?
0
0
2
1
x
x
(C) nonzero unique solution
(D) multiple solutions
Q.14 Given a vector field
2 2
, y x yz x =   x y z
F a a a the line integral d ·
?
F l evaluated along a segment
on the xaxis from 1 x = to 2 x = is
(A) –2.33 (B) 0 (C) 2.33 (D) 7
Q.15 Square roots of i  , where 1 i =  , are
(A) i, –i
(B)
3 3
cos( ) sin( ), cos( ) sin( )
4 4 4 4
i i
p p p p
 +  +
(C)
3 3
cos( ) sin( ), cos( ) sin( )
4 4 4 4
i i
p p p p
+ +
(D)
3 3 3 3
cos( ) sin( ), cos( ) sin( )
4 4 4 4
i i
p p p p
+   +
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