EC-GATE-2016

GATE 2016 – A Brief Analysis (Based on student test experiences in the stream of EC on 30th January, 2016 – (Forenoon Session) Section wise analysis of the paper Section Classification

1 Mark

Engineering Mathematics Networks Electronic Devices Analog Circuits Digital Circuits Signals and Systems Control Systems Communication Electromagnetics Verbal Ability Numerical Ability

2 Marks

3 3 4 2 2 5 3 1 2 3 2 30

4 3 4 3 3 3 3 2 5 2 3 35

Total No of Questions 7 6 8 5 5 8 6 3 7 5 5 65

Questions from the Paper General Aptitude 1.

Key: 2.

Despite the new medicine’s ________ in treating diabetes, it is not ________ widely. (A) effectiveness – prescribed (B) availability – used (C) prescription – available (D) acceptance – proscribed (A) 1 1 1 If q  a  , r  b  and s  c  , then the value of a.b.c is ________. r s q (A)  rqs 

1

(B) 0

Key:

(C)

Exp:

1 1 1 q a  , r b  , sc  r s q

(C) 1

(D) r + q + s

q a  r, r b  s, s c  q r  q a   s c   s ac a

s  r b   sac   sabc  abc  1 b

Disclaimer – This paper analysis and questions have been collated based on the memory of some students who appeared in the paper and should be considered only as guidelines. GATEFORUM does not take any responsibility for the correctness of the same.

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EC-GATE-2016

3.

Key: 4.

Key: 5.

Key: 6. Key:

Leela is older than her cousin Pavithra, Pavithra’s brother shiva is older than leela when Pavithra & Shiva are visting Leela, all the three like to play chess together, Pavithra wins more often than Leela does. Which is true on the basis of above statement? (A) When shiva plays chess with Leela and Pavithra, he often loses (B) Leela is oldest of the three (C) Shiva is better chess player than Pavithra (D) Pavithra is the youngest of the three. (D) Michel lives 10 km away from where I live, Ahmed lives 5 km and Susan lives 7 km away from where I live. Arun is farther away then Ahmed, but closer than Susan from where I live. From the information provided, what is one possible distance (in km) at which of I live from Arun (A) 3.1 (B) 4.99 (C) 6.02 (D) 7.01 (C) Mount Everest is (A) the highest peak in the world. (B) highest peak in the world (C) one of highest peak in the world (D) one of the highest peak in the world. (A) Policemen asked the victim of a theft, “What did you _______?” (A) loose (B) lose (C) loss (B)

(D) louse

Technical 1. Key: Exp:

The second moment of a poisson distributed random variable is 2. Then the first moment of the random variable is _________. 1 We know that if  is parameter of poisson’s distribution Then First moment   Second moment  2   Given that 2    2  2    2  0     2    1  0   2 or 1   1

   2 

 First moment = 1 Disclaimer – This paper analysis and questions have been collated based on the memory of some students who appeared in the paper and should be considered only as guidelines. GATEFORUM does not take any responsibility for the correctness of the same.

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2.

Following integral the counter C encloses the points 2j and  2j

1 sin z dz  2 C  z  2 3 Key: Exp:

The value of integral is _________. 1 1 sin z Given integral dz. Where C is the contour encloses 2 j and  2 j.   2   z  2  3 Clearly singular point is 2 . Case (i): If z  2 lies outside of contour C. 1 sin z Then by Cauchy’s theorem dz  0 (The function is analytic)   2   z  2  3 Case (ii): If z  2 lies inside of contour C then by Cauchy’s integral formula. 1 2j 1 2i 1 sin z 1 sin z  ( sin z) z  2    0  0 dz  dz  3 2 1     2  2! 2  2! 2 C  z  2  2 c  z  2  

3.

The integral

Key:

_________. 23.39

4.

1  x  y  10 dxdy, where D denotes disc then the x 2  y2  4 evaluates to 2 D

 x  n   1 1  1  A sequence x(n) is specified as      for n > 2, the initial conditions are  x  n  1  1 0  0  x 0  1, x 1  1 and x  n   0 for n < 0 the value of x[12] is ________.

Key:

233

5.

Let M 4  1 (where I is an Identity matrix) and M  I, M2  I, M 3  I then for any natural

Key: Exp:

number K, and M 1 equals to ___________. (A) M 4k 1 (B) M 4k  2 (C) M 4K  3 (C) Given that M 4  I

(D) M 4K

Verifying options  M 4k  3   M  I

M 4k  4  I

 M 4 k 1  I I k 1  I

Disclaimer – This paper analysis and questions have been collated based on the memory of some students who appeared in the paper and should be considered only as guidelines. GATEFORUM does not take any responsibility for the correctness of the same.

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EC-GATE-2016

6.

Which an eigen function of the class of all conditions linear time invariant u(t) denotes the unit step function? (A) e j0 t u(t)

(C) e j0 t

(B) cos 0 t

(D) sin 0 t

7.

Which one of the following is the property for solutions of Laplace equation 2f  0 (A) The solution have neither maxima nor minima at anywhere except at boundary conditions. (B) The solutions are not separable in their coordinates (C) The solutions are not continuous (D) The solutions not at any boundary conditions.

8.

Key:

Consider the following MOSFET. (A) As the channel length reduces, OFF-state current increases. (B) As the channel length reduces, output resistance increases (C) As the channel length reduces, threshold voltage remains constant. (D) As the channel length reduces, ON-state current increases. (A)

Exp:

ID  n C0x ID 

2  VDS W (V  V )V  t DS  gs  L  2 

1 L

As the channel length reduces their off state current increases. 9.

The output voltage is

VDD

10k

V0

VSS

(A) 0 Key:

(C) Switching the threshold voltage (D)

(B) VT  NMOS  VT  PMOS / 2 (D) VDD

Disclaimer – This paper analysis and questions have been collated based on the memory of some students who appeared in the paper and should be considered only as guidelines. GATEFORUM does not take any responsibility for the correctness of the same.

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EC-GATE-2016

10.

Find the output of the combinational circuit is A B

y C

Key: Exp:

(A) A+B+C (C)

(B) A(B+C)

A

(C) B(C+A)

x

B C

(D) C(A+B)

z y

x   m(7) y   m(3,6) z   m(3,6,7)  ABC  ABC  ABC  ABC  AB  B(AC A)  B(A  C)

Disclaimer – This paper analysis and questions have been collated based on the memory of some students who appeared in the paper and should be considered only as guidelines. GATEFORUM does not take any responsibility for the correctness of the same.

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