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Engineedng Set (P) Exam,2019 
DO NOT OPEN THIS TEST BOOKLET UNTIL YOU ARE ASKED TO DO SO 
T.B.C. : VBY-S-ETE 
            
Test Booklet Series 
11111 
           
               
               
Serial 
.2 	 *7' 
TEST BOOKLET 
ELECTRICAL ENGINEERING 
Time Allowed: Three Hours 	 Maximum Marks: 300 
INSTRUCTIONS 
IMMEDIATELY AFTER THE COMMENCEMENT OF THE EXAMINATION, YOU SHOULD CHECK THAT 
THIS TEST BOOKLET DOES NOT 
HAVE ANY UNPRINTED OR TORN OR MISSING PAGES OR ITEMS, 
ETC. IF SO, GET IT REPLACED BY A COMPLETE TEST BOOKLET. 
Please note that it is the candidate's responsibility to encode and fill in the Roll Number and Test 
Booklet Series Code A, B, C or 13 carefully and without any omission or discrepancy at the 
appropriate places in the OMR Answer Sheet. Any omission/discrepancy will render the Answer 
Sheet liable for rejection. 
You have to enter your Roll Number on the 
Test Booklet in the Box provided alongside. 
DO NOT write anything else on the Test Booklet. 
This Test Booklet contains 150 items (questions). Each item comprises four responses (answers). You 
will select the response which you want to mark on the Answer Sheet. In case you feel that there is 
more than one correct response, mark the response which you consider the best. In any case, choose 
ONLY ONE response for each item. 
You have to mark all your responses ONLY 
on the separate Answer Sheet provided. See directions 
in the Answer Sheet. 
All items carry equal marks. 
Before you proceed to mark in the Answer Sheet the response to various items in the Test Booklet, 
you have to fill in some particulars in the Answer Sheet as per instructions sent to you with your 
Admission Certificate. 
After you have completed filling in all your responses on the Answer Sheet and the examination has 
concluded, you should hand over to the Invigilator 
only the Answer Sheet. 
You are permitted to 
take away with you the Test Booklet. 
Sheets for rough work are appended in the Test Booklet at the end. 
Penalty for wrong answers: 
THERE WWI BE PENALTY FOR WRONG ANSWERS MARKED BY A CANDIDATE. 
There are four alternatives for the answer to every question. For each question for which a wrong answer 
has been given by the candidate, one-third (0.33) of the marks assigned to that question will be 
deducted as penalty. 
If a candidate gives more than one answer, it will be treated as a wrong answer even if one of the given 
answers happens to be correct and there will be same penalty as above to that question. 
If a question is left blank, i.e., no answer is given by the candidate, there will be no penalty for that 
question. 
DO NOT OPEN THIS TEST BOOKLET UNTIL YOU ARE ASKED TO DO SO 
VBY-S-ETE 	 ( 1 — A) 
Page 2


Engineedng Set (P) Exam,2019 
DO NOT OPEN THIS TEST BOOKLET UNTIL YOU ARE ASKED TO DO SO 
T.B.C. : VBY-S-ETE 
            
Test Booklet Series 
11111 
           
               
               
Serial 
.2 	 *7' 
TEST BOOKLET 
ELECTRICAL ENGINEERING 
Time Allowed: Three Hours 	 Maximum Marks: 300 
INSTRUCTIONS 
IMMEDIATELY AFTER THE COMMENCEMENT OF THE EXAMINATION, YOU SHOULD CHECK THAT 
THIS TEST BOOKLET DOES NOT 
HAVE ANY UNPRINTED OR TORN OR MISSING PAGES OR ITEMS, 
ETC. IF SO, GET IT REPLACED BY A COMPLETE TEST BOOKLET. 
Please note that it is the candidate's responsibility to encode and fill in the Roll Number and Test 
Booklet Series Code A, B, C or 13 carefully and without any omission or discrepancy at the 
appropriate places in the OMR Answer Sheet. Any omission/discrepancy will render the Answer 
Sheet liable for rejection. 
You have to enter your Roll Number on the 
Test Booklet in the Box provided alongside. 
DO NOT write anything else on the Test Booklet. 
This Test Booklet contains 150 items (questions). Each item comprises four responses (answers). You 
will select the response which you want to mark on the Answer Sheet. In case you feel that there is 
more than one correct response, mark the response which you consider the best. In any case, choose 
ONLY ONE response for each item. 
You have to mark all your responses ONLY 
on the separate Answer Sheet provided. See directions 
in the Answer Sheet. 
All items carry equal marks. 
Before you proceed to mark in the Answer Sheet the response to various items in the Test Booklet, 
you have to fill in some particulars in the Answer Sheet as per instructions sent to you with your 
Admission Certificate. 
After you have completed filling in all your responses on the Answer Sheet and the examination has 
concluded, you should hand over to the Invigilator 
only the Answer Sheet. 
You are permitted to 
take away with you the Test Booklet. 
Sheets for rough work are appended in the Test Booklet at the end. 
Penalty for wrong answers: 
THERE WWI BE PENALTY FOR WRONG ANSWERS MARKED BY A CANDIDATE. 
There are four alternatives for the answer to every question. For each question for which a wrong answer 
has been given by the candidate, one-third (0.33) of the marks assigned to that question will be 
deducted as penalty. 
If a candidate gives more than one answer, it will be treated as a wrong answer even if one of the given 
answers happens to be correct and there will be same penalty as above to that question. 
If a question is left blank, i.e., no answer is given by the candidate, there will be no penalty for that 
question. 
DO NOT OPEN THIS TEST BOOKLET UNTIL YOU ARE ASKED TO DO SO 
VBY-S-ETE 	 ( 1 — A) 
1. 	 What are the values of k for which the system 
of equations 
(3k-8)x+ 3y+ 3z=0 
3x + (3k — 8)y + 3z = 0 
3x + 3y + (3k — 8)z = 0 
has a non-trivial solution? 
 
 
 
k = —
2
, —
11 
—
10 
3 	 3 	 3 
2 
k 	 10 11 
 
3 	 3's 
11 11 11 
k=—,-- 
3 
	 3'3 
2 11 11 
(d)  
3 3 3 
;.1 
The solution of the differential equation 
x -— x 2 	 „ T d2Y 	 dY  + y log x is 
dx dx 
y = (ci  + c2x) log x + 2 log x + 3 
y = (ci  + c2x2) log x + log x + 2 
y = (ci  + c2x) log x + log x + 2 
y=(c1 -Ec2 logx)x+logx+ 2 
5. 	 The area between the parabolas 
y2  = 4ax and x2  = 4ay is 
(a) 	 —
2 
a
z 
3 
(b) 
1 a2 
 
3 
	 2. 	 If 
2+1 3 —1+3i 
A= 
—5 	 i 	 4 — 2i 
then AA* will be 
(where, 
At 
 is the conjugate transpose of A) 
Unitary matrix 
Orthogonal matrix 
Hermitian matrix 
Skew Hermitian matrix 
	 3. 	 If y = 	 — 3x2  + 3x —10, the value of A3y will 
be 
(where, A is forward differences operator)  
(a) 10 
(b) 11 
(c) 12 
(d) 
13 
16 2 
— a 
3 
7 
1 — a2  
3 
6. 	 The volume of the solid surrounded by the 
surface 
(x)2/3 FD rz)2/3 = 1  
a) 	 (13) 	 (c) 
is 
4n  abc  
 
35 
abc 
 
35 
abc  
 
35 
it abc 
35 
 
VBY-S-ETE 	 ( 2 — A ) 
Page 3


Engineedng Set (P) Exam,2019 
DO NOT OPEN THIS TEST BOOKLET UNTIL YOU ARE ASKED TO DO SO 
T.B.C. : VBY-S-ETE 
            
Test Booklet Series 
11111 
           
               
               
Serial 
.2 	 *7' 
TEST BOOKLET 
ELECTRICAL ENGINEERING 
Time Allowed: Three Hours 	 Maximum Marks: 300 
INSTRUCTIONS 
IMMEDIATELY AFTER THE COMMENCEMENT OF THE EXAMINATION, YOU SHOULD CHECK THAT 
THIS TEST BOOKLET DOES NOT 
HAVE ANY UNPRINTED OR TORN OR MISSING PAGES OR ITEMS, 
ETC. IF SO, GET IT REPLACED BY A COMPLETE TEST BOOKLET. 
Please note that it is the candidate's responsibility to encode and fill in the Roll Number and Test 
Booklet Series Code A, B, C or 13 carefully and without any omission or discrepancy at the 
appropriate places in the OMR Answer Sheet. Any omission/discrepancy will render the Answer 
Sheet liable for rejection. 
You have to enter your Roll Number on the 
Test Booklet in the Box provided alongside. 
DO NOT write anything else on the Test Booklet. 
This Test Booklet contains 150 items (questions). Each item comprises four responses (answers). You 
will select the response which you want to mark on the Answer Sheet. In case you feel that there is 
more than one correct response, mark the response which you consider the best. In any case, choose 
ONLY ONE response for each item. 
You have to mark all your responses ONLY 
on the separate Answer Sheet provided. See directions 
in the Answer Sheet. 
All items carry equal marks. 
Before you proceed to mark in the Answer Sheet the response to various items in the Test Booklet, 
you have to fill in some particulars in the Answer Sheet as per instructions sent to you with your 
Admission Certificate. 
After you have completed filling in all your responses on the Answer Sheet and the examination has 
concluded, you should hand over to the Invigilator 
only the Answer Sheet. 
You are permitted to 
take away with you the Test Booklet. 
Sheets for rough work are appended in the Test Booklet at the end. 
Penalty for wrong answers: 
THERE WWI BE PENALTY FOR WRONG ANSWERS MARKED BY A CANDIDATE. 
There are four alternatives for the answer to every question. For each question for which a wrong answer 
has been given by the candidate, one-third (0.33) of the marks assigned to that question will be 
deducted as penalty. 
If a candidate gives more than one answer, it will be treated as a wrong answer even if one of the given 
answers happens to be correct and there will be same penalty as above to that question. 
If a question is left blank, i.e., no answer is given by the candidate, there will be no penalty for that 
question. 
DO NOT OPEN THIS TEST BOOKLET UNTIL YOU ARE ASKED TO DO SO 
VBY-S-ETE 	 ( 1 — A) 
1. 	 What are the values of k for which the system 
of equations 
(3k-8)x+ 3y+ 3z=0 
3x + (3k — 8)y + 3z = 0 
3x + 3y + (3k — 8)z = 0 
has a non-trivial solution? 
 
 
 
k = —
2
, —
11 
—
10 
3 	 3 	 3 
2 
k 	 10 11 
 
3 	 3's 
11 11 11 
k=—,-- 
3 
	 3'3 
2 11 11 
(d)  
3 3 3 
;.1 
The solution of the differential equation 
x -— x 2 	 „ T d2Y 	 dY  + y log x is 
dx dx 
y = (ci  + c2x) log x + 2 log x + 3 
y = (ci  + c2x2) log x + log x + 2 
y = (ci  + c2x) log x + log x + 2 
y=(c1 -Ec2 logx)x+logx+ 2 
5. 	 The area between the parabolas 
y2  = 4ax and x2  = 4ay is 
(a) 	 —
2 
a
z 
3 
(b) 
1 a2 
 
3 
	 2. 	 If 
2+1 3 —1+3i 
A= 
—5 	 i 	 4 — 2i 
then AA* will be 
(where, 
At 
 is the conjugate transpose of A) 
Unitary matrix 
Orthogonal matrix 
Hermitian matrix 
Skew Hermitian matrix 
	 3. 	 If y = 	 — 3x2  + 3x —10, the value of A3y will 
be 
(where, A is forward differences operator)  
(a) 10 
(b) 11 
(c) 12 
(d) 
13 
16 2 
— a 
3 
7 
1 — a2  
3 
6. 	 The volume of the solid surrounded by the 
surface 
(x)2/3 FD rz)2/3 = 1  
a) 	 (13) 	 (c) 
is 
4n  abc  
 
35 
abc 
 
35 
abc  
 
35 
it abc 
35 
 
VBY-S-ETE 	 ( 2 — A ) 
	 11. 	 If X is a discrete random variable that follows 
Binomial distribution, then which one of the 
following response relations is correct? 
P(r + 1) — n — rP(r) 
r + 1 
P(r + 1) = 	 P(r) 
P(r + 1) = n r P  P(r) 
r + 1 q 
P(r + 1) = 
n—rP P(r) 
r + 1 q 
	 12. 	 If the probability that an individual suffers a 
bad reaction from a certain infection is 0.001, 
what is the probability that out of 2000 
individuals, more than 2 individuals will 
suffer a bad reaction? 
(a) 
1 5 
2 e2  
5 
(b) 	 1.2 — 
e` 
(d) 
5 
e2 
13. Materials in which the atomic order extends 
uninterrupted over the entirety of the 
specimen; under some 
may have flat faces 
shapes, are called 
Anisotropy 
Crystallography 
Single crystals 
Crystal system 
circumstances, they 
regular geometric and 
7. The solution of the partial differential 
equation 
 
 
x2  
f  
f  
— a  x a  Z  + y2  
	 11 	 1 , 
y 
	 1 	 xy 
Xy 	 Z 
— a c z  
z) 
= 
fl.0 
x 	 y ) z 	 is 
_ 
0  
( f 
f (
1. 1 , xyz) _ 0  
x y 
1 ± 1 + 1 xy 0  
x y z z 
— 1  (cos a + i sin a) 
2 4 4 
— 1  (cos L C  1- i sin It 
2 	 2 	 2 
(C) 
 
2 
(d) 	 — 1  cos — it  + i sin — 
2'6 	 6 
9. 	 If n is a positive integer then, 
( 
	 + 	 +R — if' is 
n  . nn 
2 sin — 
6 
2n cos —
nn 
6 
2n +1 cos 
 nit 
6 
2"" 
sin  In 
6 
10. 	 The nature of singularity of function 
1 	 TC . 
ftz)= 	 at z = —is  
cos z —sinz 	 4 
Removable singularity 
Isolated singularity 
Simple pole 
Essential singularity 
 
 
+ i 	 . 
S. 	 The complex number 	 is 
3 — i 
 
 
 
 
 
 
VBY-8-ETE 	 3—A) 
Page 4


Engineedng Set (P) Exam,2019 
DO NOT OPEN THIS TEST BOOKLET UNTIL YOU ARE ASKED TO DO SO 
T.B.C. : VBY-S-ETE 
            
Test Booklet Series 
11111 
           
               
               
Serial 
.2 	 *7' 
TEST BOOKLET 
ELECTRICAL ENGINEERING 
Time Allowed: Three Hours 	 Maximum Marks: 300 
INSTRUCTIONS 
IMMEDIATELY AFTER THE COMMENCEMENT OF THE EXAMINATION, YOU SHOULD CHECK THAT 
THIS TEST BOOKLET DOES NOT 
HAVE ANY UNPRINTED OR TORN OR MISSING PAGES OR ITEMS, 
ETC. IF SO, GET IT REPLACED BY A COMPLETE TEST BOOKLET. 
Please note that it is the candidate's responsibility to encode and fill in the Roll Number and Test 
Booklet Series Code A, B, C or 13 carefully and without any omission or discrepancy at the 
appropriate places in the OMR Answer Sheet. Any omission/discrepancy will render the Answer 
Sheet liable for rejection. 
You have to enter your Roll Number on the 
Test Booklet in the Box provided alongside. 
DO NOT write anything else on the Test Booklet. 
This Test Booklet contains 150 items (questions). Each item comprises four responses (answers). You 
will select the response which you want to mark on the Answer Sheet. In case you feel that there is 
more than one correct response, mark the response which you consider the best. In any case, choose 
ONLY ONE response for each item. 
You have to mark all your responses ONLY 
on the separate Answer Sheet provided. See directions 
in the Answer Sheet. 
All items carry equal marks. 
Before you proceed to mark in the Answer Sheet the response to various items in the Test Booklet, 
you have to fill in some particulars in the Answer Sheet as per instructions sent to you with your 
Admission Certificate. 
After you have completed filling in all your responses on the Answer Sheet and the examination has 
concluded, you should hand over to the Invigilator 
only the Answer Sheet. 
You are permitted to 
take away with you the Test Booklet. 
Sheets for rough work are appended in the Test Booklet at the end. 
Penalty for wrong answers: 
THERE WWI BE PENALTY FOR WRONG ANSWERS MARKED BY A CANDIDATE. 
There are four alternatives for the answer to every question. For each question for which a wrong answer 
has been given by the candidate, one-third (0.33) of the marks assigned to that question will be 
deducted as penalty. 
If a candidate gives more than one answer, it will be treated as a wrong answer even if one of the given 
answers happens to be correct and there will be same penalty as above to that question. 
If a question is left blank, i.e., no answer is given by the candidate, there will be no penalty for that 
question. 
DO NOT OPEN THIS TEST BOOKLET UNTIL YOU ARE ASKED TO DO SO 
VBY-S-ETE 	 ( 1 — A) 
1. 	 What are the values of k for which the system 
of equations 
(3k-8)x+ 3y+ 3z=0 
3x + (3k — 8)y + 3z = 0 
3x + 3y + (3k — 8)z = 0 
has a non-trivial solution? 
 
 
 
k = —
2
, —
11 
—
10 
3 	 3 	 3 
2 
k 	 10 11 
 
3 	 3's 
11 11 11 
k=—,-- 
3 
	 3'3 
2 11 11 
(d)  
3 3 3 
;.1 
The solution of the differential equation 
x -— x 2 	 „ T d2Y 	 dY  + y log x is 
dx dx 
y = (ci  + c2x) log x + 2 log x + 3 
y = (ci  + c2x2) log x + log x + 2 
y = (ci  + c2x) log x + log x + 2 
y=(c1 -Ec2 logx)x+logx+ 2 
5. 	 The area between the parabolas 
y2  = 4ax and x2  = 4ay is 
(a) 	 —
2 
a
z 
3 
(b) 
1 a2 
 
3 
	 2. 	 If 
2+1 3 —1+3i 
A= 
—5 	 i 	 4 — 2i 
then AA* will be 
(where, 
At 
 is the conjugate transpose of A) 
Unitary matrix 
Orthogonal matrix 
Hermitian matrix 
Skew Hermitian matrix 
	 3. 	 If y = 	 — 3x2  + 3x —10, the value of A3y will 
be 
(where, A is forward differences operator)  
(a) 10 
(b) 11 
(c) 12 
(d) 
13 
16 2 
— a 
3 
7 
1 — a2  
3 
6. 	 The volume of the solid surrounded by the 
surface 
(x)2/3 FD rz)2/3 = 1  
a) 	 (13) 	 (c) 
is 
4n  abc  
 
35 
abc 
 
35 
abc  
 
35 
it abc 
35 
 
VBY-S-ETE 	 ( 2 — A ) 
	 11. 	 If X is a discrete random variable that follows 
Binomial distribution, then which one of the 
following response relations is correct? 
P(r + 1) — n — rP(r) 
r + 1 
P(r + 1) = 	 P(r) 
P(r + 1) = n r P  P(r) 
r + 1 q 
P(r + 1) = 
n—rP P(r) 
r + 1 q 
	 12. 	 If the probability that an individual suffers a 
bad reaction from a certain infection is 0.001, 
what is the probability that out of 2000 
individuals, more than 2 individuals will 
suffer a bad reaction? 
(a) 
1 5 
2 e2  
5 
(b) 	 1.2 — 
e` 
(d) 
5 
e2 
13. Materials in which the atomic order extends 
uninterrupted over the entirety of the 
specimen; under some 
may have flat faces 
shapes, are called 
Anisotropy 
Crystallography 
Single crystals 
Crystal system 
circumstances, they 
regular geometric and 
7. The solution of the partial differential 
equation 
 
 
x2  
f  
f  
— a  x a  Z  + y2  
	 11 	 1 , 
y 
	 1 	 xy 
Xy 	 Z 
— a c z  
z) 
= 
fl.0 
x 	 y ) z 	 is 
_ 
0  
( f 
f (
1. 1 , xyz) _ 0  
x y 
1 ± 1 + 1 xy 0  
x y z z 
— 1  (cos a + i sin a) 
2 4 4 
— 1  (cos L C  1- i sin It 
2 	 2 	 2 
(C) 
 
2 
(d) 	 — 1  cos — it  + i sin — 
2'6 	 6 
9. 	 If n is a positive integer then, 
( 
	 + 	 +R — if' is 
n  . nn 
2 sin — 
6 
2n cos —
nn 
6 
2n +1 cos 
 nit 
6 
2"" 
sin  In 
6 
10. 	 The nature of singularity of function 
1 	 TC . 
ftz)= 	 at z = —is  
cos z —sinz 	 4 
Removable singularity 
Isolated singularity 
Simple pole 
Essential singularity 
 
 
+ i 	 . 
S. 	 The complex number 	 is 
3 — i 
 
 
 
 
 
 
VBY-8-ETE 	 3—A) 
14. Which material possesses the following 
properties? 
Shining white colour with lustre 
Soft, malleable and can be drawn into 
wires 
Poor in conductivity and tensile 
strength 
Used in making alloys with lead and 
copper 
Used for fuses and cable sheathing 
Silver 
Tin 
Nickel 
Aluminium 
15. The saturation magnetization for Fe
304, 
given that each cubic unit cell contains 
8 Fe2+ and 16 Pelf ions, where Bohr 
magneton is 9.274 x 10-24  A.m2  and that the 
unit cell edge length is 0.839 nm, will be 
1.25 x 105  Aim 
5 x 105  Aim 
10 x 105  Aim 
20 x 105  Aim 
16. Consider the following applications of the 
materials: 
Bismuth strontium calcium copper 
oxide used as a high temperature 
superconductor 
Boron carbide used in helicopter and 
tank armour 
Uranium oxide used as fuel in nuclear 
reactors 
Bricks used for construction 
The materials used in these applications can 
be classified as 
Ceramic 
Constantan 
Manganin 
Tantalum  
17. 	 The saturation flux density for Nickel having 
density of 8.90 g/cm3, atomic number 58-71 
and net magnetic moment per atom of 
0.6 Bohr magnetons is nearly 
18. 
The temperature at which iron ceases to be 
ferromagnetic and becomes paramagnetic is 
Curie-Weiss point 
Thermo-magnetic point 
Ferro-paramagnetic point 
Curie point 
	 19. 	 Fick's laws refer to 
Finding whether a semiconductor is n or 
p type 
Diffusion 
Crystal imperfections 
Electric breakdown 
	 20. 	 A magnetic field applied perpendicular to the 
direction of motion of a charged particle 
exerts a force on the particle perpendicular to 
both the magnetic field and the direction of 
motion of the particle. This phenomenon 
results in 
Flux effect 
Hall Effect 
Magnetic field effect 
Field effect 
	 21. 	 An electric kettle is marked 500 W, 230 V and 
is found to take 15 minutes to bring 1 kg of 
water at 15°C to 100°C. If the specific heat of 
water is 4200 J/kg/°C, the heat efficiency of 
the kettle will be 
87.3% 
83.6% 
79-3% 
75.6% 
0.82 tesla 
0.76 tesla 
0.64 tesla 
0.52 tesla 
VBY-S-ETE 	 (4-A) 
Page 5


Engineedng Set (P) Exam,2019 
DO NOT OPEN THIS TEST BOOKLET UNTIL YOU ARE ASKED TO DO SO 
T.B.C. : VBY-S-ETE 
            
Test Booklet Series 
11111 
           
               
               
Serial 
.2 	 *7' 
TEST BOOKLET 
ELECTRICAL ENGINEERING 
Time Allowed: Three Hours 	 Maximum Marks: 300 
INSTRUCTIONS 
IMMEDIATELY AFTER THE COMMENCEMENT OF THE EXAMINATION, YOU SHOULD CHECK THAT 
THIS TEST BOOKLET DOES NOT 
HAVE ANY UNPRINTED OR TORN OR MISSING PAGES OR ITEMS, 
ETC. IF SO, GET IT REPLACED BY A COMPLETE TEST BOOKLET. 
Please note that it is the candidate's responsibility to encode and fill in the Roll Number and Test 
Booklet Series Code A, B, C or 13 carefully and without any omission or discrepancy at the 
appropriate places in the OMR Answer Sheet. Any omission/discrepancy will render the Answer 
Sheet liable for rejection. 
You have to enter your Roll Number on the 
Test Booklet in the Box provided alongside. 
DO NOT write anything else on the Test Booklet. 
This Test Booklet contains 150 items (questions). Each item comprises four responses (answers). You 
will select the response which you want to mark on the Answer Sheet. In case you feel that there is 
more than one correct response, mark the response which you consider the best. In any case, choose 
ONLY ONE response for each item. 
You have to mark all your responses ONLY 
on the separate Answer Sheet provided. See directions 
in the Answer Sheet. 
All items carry equal marks. 
Before you proceed to mark in the Answer Sheet the response to various items in the Test Booklet, 
you have to fill in some particulars in the Answer Sheet as per instructions sent to you with your 
Admission Certificate. 
After you have completed filling in all your responses on the Answer Sheet and the examination has 
concluded, you should hand over to the Invigilator 
only the Answer Sheet. 
You are permitted to 
take away with you the Test Booklet. 
Sheets for rough work are appended in the Test Booklet at the end. 
Penalty for wrong answers: 
THERE WWI BE PENALTY FOR WRONG ANSWERS MARKED BY A CANDIDATE. 
There are four alternatives for the answer to every question. For each question for which a wrong answer 
has been given by the candidate, one-third (0.33) of the marks assigned to that question will be 
deducted as penalty. 
If a candidate gives more than one answer, it will be treated as a wrong answer even if one of the given 
answers happens to be correct and there will be same penalty as above to that question. 
If a question is left blank, i.e., no answer is given by the candidate, there will be no penalty for that 
question. 
DO NOT OPEN THIS TEST BOOKLET UNTIL YOU ARE ASKED TO DO SO 
VBY-S-ETE 	 ( 1 — A) 
1. 	 What are the values of k for which the system 
of equations 
(3k-8)x+ 3y+ 3z=0 
3x + (3k — 8)y + 3z = 0 
3x + 3y + (3k — 8)z = 0 
has a non-trivial solution? 
 
 
 
k = —
2
, —
11 
—
10 
3 	 3 	 3 
2 
k 	 10 11 
 
3 	 3's 
11 11 11 
k=—,-- 
3 
	 3'3 
2 11 11 
(d)  
3 3 3 
;.1 
The solution of the differential equation 
x -— x 2 	 „ T d2Y 	 dY  + y log x is 
dx dx 
y = (ci  + c2x) log x + 2 log x + 3 
y = (ci  + c2x2) log x + log x + 2 
y = (ci  + c2x) log x + log x + 2 
y=(c1 -Ec2 logx)x+logx+ 2 
5. 	 The area between the parabolas 
y2  = 4ax and x2  = 4ay is 
(a) 	 —
2 
a
z 
3 
(b) 
1 a2 
 
3 
	 2. 	 If 
2+1 3 —1+3i 
A= 
—5 	 i 	 4 — 2i 
then AA* will be 
(where, 
At 
 is the conjugate transpose of A) 
Unitary matrix 
Orthogonal matrix 
Hermitian matrix 
Skew Hermitian matrix 
	 3. 	 If y = 	 — 3x2  + 3x —10, the value of A3y will 
be 
(where, A is forward differences operator)  
(a) 10 
(b) 11 
(c) 12 
(d) 
13 
16 2 
— a 
3 
7 
1 — a2  
3 
6. 	 The volume of the solid surrounded by the 
surface 
(x)2/3 FD rz)2/3 = 1  
a) 	 (13) 	 (c) 
is 
4n  abc  
 
35 
abc 
 
35 
abc  
 
35 
it abc 
35 
 
VBY-S-ETE 	 ( 2 — A ) 
	 11. 	 If X is a discrete random variable that follows 
Binomial distribution, then which one of the 
following response relations is correct? 
P(r + 1) — n — rP(r) 
r + 1 
P(r + 1) = 	 P(r) 
P(r + 1) = n r P  P(r) 
r + 1 q 
P(r + 1) = 
n—rP P(r) 
r + 1 q 
	 12. 	 If the probability that an individual suffers a 
bad reaction from a certain infection is 0.001, 
what is the probability that out of 2000 
individuals, more than 2 individuals will 
suffer a bad reaction? 
(a) 
1 5 
2 e2  
5 
(b) 	 1.2 — 
e` 
(d) 
5 
e2 
13. Materials in which the atomic order extends 
uninterrupted over the entirety of the 
specimen; under some 
may have flat faces 
shapes, are called 
Anisotropy 
Crystallography 
Single crystals 
Crystal system 
circumstances, they 
regular geometric and 
7. The solution of the partial differential 
equation 
 
 
x2  
f  
f  
— a  x a  Z  + y2  
	 11 	 1 , 
y 
	 1 	 xy 
Xy 	 Z 
— a c z  
z) 
= 
fl.0 
x 	 y ) z 	 is 
_ 
0  
( f 
f (
1. 1 , xyz) _ 0  
x y 
1 ± 1 + 1 xy 0  
x y z z 
— 1  (cos a + i sin a) 
2 4 4 
— 1  (cos L C  1- i sin It 
2 	 2 	 2 
(C) 
 
2 
(d) 	 — 1  cos — it  + i sin — 
2'6 	 6 
9. 	 If n is a positive integer then, 
( 
	 + 	 +R — if' is 
n  . nn 
2 sin — 
6 
2n cos —
nn 
6 
2n +1 cos 
 nit 
6 
2"" 
sin  In 
6 
10. 	 The nature of singularity of function 
1 	 TC . 
ftz)= 	 at z = —is  
cos z —sinz 	 4 
Removable singularity 
Isolated singularity 
Simple pole 
Essential singularity 
 
 
+ i 	 . 
S. 	 The complex number 	 is 
3 — i 
 
 
 
 
 
 
VBY-8-ETE 	 3—A) 
14. Which material possesses the following 
properties? 
Shining white colour with lustre 
Soft, malleable and can be drawn into 
wires 
Poor in conductivity and tensile 
strength 
Used in making alloys with lead and 
copper 
Used for fuses and cable sheathing 
Silver 
Tin 
Nickel 
Aluminium 
15. The saturation magnetization for Fe
304, 
given that each cubic unit cell contains 
8 Fe2+ and 16 Pelf ions, where Bohr 
magneton is 9.274 x 10-24  A.m2  and that the 
unit cell edge length is 0.839 nm, will be 
1.25 x 105  Aim 
5 x 105  Aim 
10 x 105  Aim 
20 x 105  Aim 
16. Consider the following applications of the 
materials: 
Bismuth strontium calcium copper 
oxide used as a high temperature 
superconductor 
Boron carbide used in helicopter and 
tank armour 
Uranium oxide used as fuel in nuclear 
reactors 
Bricks used for construction 
The materials used in these applications can 
be classified as 
Ceramic 
Constantan 
Manganin 
Tantalum  
17. 	 The saturation flux density for Nickel having 
density of 8.90 g/cm3, atomic number 58-71 
and net magnetic moment per atom of 
0.6 Bohr magnetons is nearly 
18. 
The temperature at which iron ceases to be 
ferromagnetic and becomes paramagnetic is 
Curie-Weiss point 
Thermo-magnetic point 
Ferro-paramagnetic point 
Curie point 
	 19. 	 Fick's laws refer to 
Finding whether a semiconductor is n or 
p type 
Diffusion 
Crystal imperfections 
Electric breakdown 
	 20. 	 A magnetic field applied perpendicular to the 
direction of motion of a charged particle 
exerts a force on the particle perpendicular to 
both the magnetic field and the direction of 
motion of the particle. This phenomenon 
results in 
Flux effect 
Hall Effect 
Magnetic field effect 
Field effect 
	 21. 	 An electric kettle is marked 500 W, 230 V and 
is found to take 15 minutes to bring 1 kg of 
water at 15°C to 100°C. If the specific heat of 
water is 4200 J/kg/°C, the heat efficiency of 
the kettle will be 
87.3% 
83.6% 
79-3% 
75.6% 
0.82 tesla 
0.76 tesla 
0.64 tesla 
0.52 tesla 
VBY-S-ETE 	 (4-A) 
22. 
With reference to nano materials, the prefix 
nano stands for 
Nano centimetre 
Nanometre 
Nano micrometre 
Nano millimetre 
	 23. 	 Consider the following applications: 
High temperature heat engines 
Nuclear fusion reactors 
Chemical processing industry 
Aeronautical and space industry 
Which one of the following materials will be 
used for these applications? 
Zirconia 
Alumina 
Ceramic 
Silicon carbide 
	 24. 	 The machine used for the preparation of nano 
particles of alumina is 
Attrition mill 
Grinding machine 
Vending machine 
Welding machine 
	 25. 	 If the voltage across an element in a circuit is 
linearly proportional to the current through 
it, then it is a 
Capacitor 
Transformer 
Resistor 
Inductor  
26. 	 Thevenin's equivalent circuit consists of 
Current source and series impedance 
Voltage source and series impedance 
Voltage source and shunt impedance 
Current source and shunt impedance 
27. 
When the voltage sources are replaced with 
short circuits and current sourees are 
replaced with open circuits, leaving dependent 
sources in the circuit, the theorem applied is 
Superposition 
Thevenin 
Norton 
Millman 
28. The maximum power is delivered from a 
source to a load when the source resistance 
is 
Greater than the load resistance 
Equal to zero 
Less than the load resistance 
Equal to the load resistance 
29. A network delivers maximum power to the 
load resistance when it is 
Greater than Norton's equivalent 
resistance of the network 
Equal to Thevenin's equivalent 
resistance of the network 
Less than source resistance 
Less than Norton's equivalent 
resistance of the network 
30. 
The impedance of a parallel circuit is 
(10 — j 30) Q at 1 MHz. The values of circuit 
elements will be 
10 Q and 6.4 mH 
100 and 4.7 nF 
10 Q and 4.7 mH 
100 Q and 6-4 nF 
VBY-S-ETE 	 ( 5—A) 
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FAQs on IES/ESE Paper (Electrical) Prelims Paper II - 2019 - GATE, ISRO & IES/ESE Previous Year Solved Papers - Mechanical Engineering

1. What is the eligibility criteria for appearing in the IES/ESE exam?
Ans. To appear in the IES/ESE exam, candidates must have a degree in Electrical Engineering from a recognized university or institution.
2. How many papers are there in the IES/ESE Prelims exam for Electrical Engineering?
Ans. The IES/ESE Prelims exam for Electrical Engineering consists of two papers - Paper I and Paper II.
3. What is the syllabus for Paper II of the IES/ESE Prelims exam for Electrical Engineering?
Ans. Paper II of the IES/ESE Prelims exam for Electrical Engineering covers topics such as Electrical Circuits, Electromagnetic Fields, Power Systems, Control Systems, Electrical and Electronic Measurements, etc.
4. Are calculators allowed in the IES/ESE exam for Electrical Engineering?
Ans. No, calculators are not allowed in the IES/ESE exam for Electrical Engineering. Candidates are expected to do all calculations manually.
5. How can I prepare effectively for the IES/ESE exam for Electrical Engineering?
Ans. To prepare effectively for the IES/ESE exam for Electrical Engineering, candidates should solve previous years' question papers, take mock tests, revise regularly, and focus on understanding concepts rather than rote learning.
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