EC Gate Solved Paper 2016 Session 4

Q. 1 – Q. 5 carry one mark each.
Q.1 An apple costs Rs. 10. An onion costs Rs. 8.
Select the most suitable sentence with respect to
grammar and usage.
(A) The price of an apple is greater than an onion.
(B) The price of an apple is more than onion.
(C) The price of an apple is greater than that of an onion.
(D) Apples are more costlier than onions.

Answer:(C)


Q.2 The Buddha said, “Holding on to anger is like grasping a
hot coal with the intent of throwing it at
someone else; you are the one who gets burnt.”
Select the word below which is closest in meaning to the
word underlined above.
(A) burning (B) igniting (C) clutching (D) flinging

Answer:(C)

Q.3 M has a son Q and a daughter R. He has no other
children. E is the mother of P and daughter-in-Law
(A) P is the son-in-law of M.
(B) P is the grandchild of M.
(C) P is the daughter-in law of M.
(D) P is the grandfather of M.

Answer:(B)

Q.4 The number that least fits this
set: (324, 441, 97 and 64) is ________.
(A) 324 (B) 441 (C) 97 (D) 64

Answer:(C ; D) 


Q.5 It takes 10 s and 15 s, respectively, for two trains
travelling at different constant speeds to
completely pass a telegraph post. The length of the
first train is 120 m and that of the second train is
150 m. The magnitude of the difference in the speeds
of the two trains (in m/s) is ____________.
(A) 2.0 (B) 10.0 (C) 12.0 (D) 22.0

Answer:(A)



Q6. - Q10 Carry two marks each:



Add caption





























(A) 0
(B) 3
(C) 4
(D) 5 

Answer:(D)


Q7. The Overwhelming number of people, infected with rabies
in India has been flagged by the world Health Organization  as
a source of concern. It is estimated that inoculating 70% of
pets and stray dogs against rabies can lead to significant
reduction in the number of people infected with rabies

Which of the following can be logically inferred from the
above sentences?

(A) The number of people in India affected with rabies is high.
(B) The number of people in other parts of the world who are
infected with rabies is low
(C) Rabies can be eradicated in India By Vaccinating 70% of
stray dogs
(D) Stray dogs are the main source of rabies worldwide.

Answer:(A)


Q8. A flat is shared by four first year undergraduate students.
They agreed to allow the oldest of them to enjoy some extra
space in the flat. Manu is two months older than Sravan, Who is
three months younger than Trideep, Pavan is one month older
than sravan, Who should occupy the extra space in the flat?

(A) Manu
(B)Sravan
(C)Trideep
(D)Pavan

Answer:(C)

Q9. Find the area bounded by the lines 3x+2y = 14,
2x-3y=5 in the first quadrant.
(A) 14.95
(B) 15.25
(C) 15.70
(D) 20.35

Answer:(B)

Q.10 A straight line is fit to a data set (ln x, y).
This line intercepts the abscissa at ln x = 0.1 and has a
slope of −0.02. What is the value of y at x = 5 from the fit?
(A) −0.030 (B) −0.014 (C) 0.014 (D) 0.030

Answer:(A)




Q. 1 – Q. 25 carry one mark each.




















Answer:(D)














Answer:(1.0:1.0)


Q.3 The probability of getting a “head” in a single
toss of a biased coin is 0.3. The coin is tossed
repeatedly till a “head” is obtained. If the tosses
are independent, then the probability of getting

“head” for the first time in the fifth toss is ________


Answer:(0.07:0.08)













Answer:(2.0:2.0)



Q.5 Consider the first order initial value problem















Answer:(0.060:0.063)


















Answer:(C)















Answer:(A)















Answer:(C)








Answer:(B)















Answer:(C)





Q.11 The figure shows the band diagramof a Metal Oxide Semiconductor (MOS). The surface region of this MOS is in  


























Answer:(A)










Answer:(20.5:21.5)


Q.13 The diodes D1 and D2 in the figure are ideal and the capacitors 
are identical. The product RC is very large compared to the time period of 
the ac voltage. Assuming that the diodes do not breakdown in the reverse bias,
 the output voltage







Answer:(0.0:0.0)








Answer:(0.45:0.55)




Q.15 In the astable multivibrator circuit shown in the figure, 
the frequency of oscillation (in kHz)
 at the output pin 3 is __________






Answer:(5.55:5.75)




Q.16 In an 8085 microprocessor, the contents of the accumulator and the carry flag are A7 (in hex)then the contents of the accumulator (in hex) and  and 0  respectively. If the instruction RLC is executed, 
the carry flag, respectively, will be(A) 4E and 0 (B) 4E and 1 (C) 4F and 0 (D) 4F and 1
Answer:(D)

Q.17 The logic functionality realized by the circuit shown below is 


(A) OR (B) XOR (C) NAND (D) AND
Answer:(D)

Q.18 The minimum number of 2-input NAND gates required to implement a 2-input XOR gate is(A) 4 (B) 5 (C) 6 (D) 7 
Answer:(A)

Q.19 The block diagram of a feedback control system is shown in the figure. Theoverall closed-loop gain G of the system is

 


Answer:(B)



Q.20 For the unity feedback control system shown in 

the figure, the open-loop transfer function G(s) is given asG (s) =     2/s(s+1) .
The steady state error ess due to a unit step input is 





Answer:(A)



Q.21 For a superheterodyne receiver, the intermediate frequency 
is 15 MHz and the local oscillator frequency is 3.5 GHz. If the frequency 
of the received signal is greater than the local oscillator 
frequency, then the image frequency (in MHz) is _________


Answer:(3485:3485)




Q.22 An analog baseband signal, bandlimited to 100 Hz, is 
sampled at the Nyquist rate. The samples are 
quantized into four message symbols that occur independently with 
probabilities p1 = p4 = 0.125 
and p2 = p3. The information rate (bits/sec) of the message
 source is _________


Answer:(360:360)









Answer:(C)



Q.24 If a right-handed circularly polarized wave is incident normally 
on a plane perfect conductor, then the reflected wave will 
be
(B) Right-handed circularly polarized(B) left-handed circularly polarized(C) elliptically polarized with a tilt angle of 45 degree(D) horizontally polarized



Answer:(B)




Q.25 Faraday’s law of electromagnetic induction is mathematically
 described by which one of the 
following equations?






Answer:(C)



Q.26 The particular solution of the initial value problem given below is







Answer:(A)











28 A triangle in the xy-plane is bounded by the straight lines 2x = 3y, y = 0 and x = 3. The volume above the triangle and underthe plane x + y + z = 6 is __________

Answer:(10.0:10.0)
Answer:(D)













Answer:(B)














Answer:(B)










Answer:(D)




Q.32 Assume that the circuit in the figure has reached
 the steady state before time t= 0 when the 3 Ωresistor suddenly 
burns out, resulting in an open circuit. 
The current i(t) (in ampere) at t = 0+ is 
























Answer:(0.98 : 1.02 ; -1.02 : -0.98 ; 1.96 : 2.04 ; -2.04 : -1.96 )




Q.33 In the figure shown, the current i 
(in ampere) is _________









Answer:(-1.05 : -0.95)







Answer:(A)







Answer:(4096 : 4096)



Q.36 The direct form structure of an FIR 
(finite impulse response) filter is shown in the figure. 

















The filter can be used to approximate a
(A) low-pass filter 
(B) high-pass filter
(C) band-pass filter 
   (D) band-stop filter


Answer:(C)








Answer:(6.55 : 6.75)








Answer:(1.55:1.65)








Answer:(39)









Answer:(-1.0 : -1.0)









Answer:(C)







Answer:(56 : 63)






Q.43 Following is the K-map of a Boolean function of five 

variables P, Q, R, S and X. The minimum 







Answer:(B)




Q.44 For the circuit shown in the figure, the delays of NOR gates,
multiplexers and inverters are 2 ns, 1.5 ns and 1 ns,respectively.
If all the inputs P, Q, R, S and T are applied at the same timeinstant, 
the maximum propagation delay (in ns) of the circuit is __________





























Answer:(
6.0 : 6.0)




Q.45 For the circuit shown in the figure, the delay 
of the bubbled NAND gate is 2 ns and that of the counter 
is assumed to be zero.If the clock (Clk) frequency 

























is 1 GHz, then the counter behaves as a 

(A) mod-5 counter (B) mod-6 counter
(C) mod-7 counter (D) mod-8 counter


Answer:(D)

Q.46 The first two rows in the Routh table for the characteristic equation of a certain closed-loop control system are given as






 




















Answer:(D)













Answer:(A)



Q.48 The forward-path transfer function and the feedback-path transfer function of a singleloop negative  feedback control system are given as 









respectively. If the variable parameter K is realpositive, then the location of the breakaway point on 



the root locus diagram of thesystem is
Answer:(-3.45 : -3.35)_________


Q.49 A wide sense stationary random process X(t) 
passes through the LTI system shown in the figure. 



Answer:(B)







Answer:(30.0 : 33.0)








Answer:(0.70 : 0.75)


Q.52 Consider an air-filled rectangular wave guide 
with dimensions a = 2.286 cm and b = 1.016 cm. At 
10 GHz operating frequency, the value of the propagation constant 
(per meter) of the corresponding 
propagating mode is __________


Answer:(155.0 : 162.0)









Answer:(C)







Answer:(0.01 : 0.02)




Q.55 Consider the charge profile shown in the figure. 
The resultant potential distribution is best 
described by





Answer of this Question is 
(D) 


























































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