GATE 2027 Sample Paper (Electronics & Communication - EC)

SAMPLE PAPER

S A M P L E Q U E S T I O N P A P E R

GATE 2027 (Electronics &
Communication - EC)
Modelled on the actual exam pattern
.

QUESTIONS MAX MARKS TIME

65 100 180 Min

GENERAL INSTRUCTIONS

1. This paper contains 65 multiple-choice questions. All questions are compulsory.

2. Each question has four options — (A), (B), (C) and (D) — of which only one is correct.

3. Each correct answer carries 1 or 2 marks (varies by question); for a multiple-choice question, one-third (1-mark
question) or two-thirds (2-mark question) of the allotted marks is deducted for a wrong answer; numerical-answer-type
questions carry no negative marking.

4. Total time allowed is 180 minutes. Manage your time across all sections.

5. Use of calculators, mobile phones or any electronic device is not permitted.

6. Attempt the paper first, then check your answers against the Answer Key at the end.

Candidate Name: Roll No.: Date:

SAMPLE PAPER

GATE 2027 (Electronics & Communication - EC)
SAMPLE QUESTION PAPER

Questions 65 Max Marks 100 Time 180 Min

Attempt all questions. Choose the one correct option for each.

GENERAL APTITUDE

1. Ten friends planned to share equally the cost Of 2.  Once the team of analysts identify the problem, we
buying a gift for their teacher. When two Of them __________ n a better position to comment on the issue.
i
decided not to contribute, each Of the Other friends had Which one of the following choices CANNOT fill the given
to pay Rs 150 more. The cost of the gift was Rs. _______ . blank?

(A) 666 (A) will be

(B) 3000 (B) were to be

(C) 6000 (C) are going to be

(D) 12000 (D) might be

3. Five different books (P, Q, R, S, T) are to be arranged 4. Newspapers are a constant source Of delight and
on a shelf. The books R and S are to be arranged first and recreation for me. The trouble ..................is that I
second, respectively from the right side Of the shelf. The read................ many Of them.
number Of different orders in which P, Q and T may be
(A) even, quite
arranged is ________ .
(B) even, too
(A) 2
(C) only, quite
(B) 6
(D) only, too
(C) 12

(D) 120

5. One percent of the people of country X are taller than 6. The product of three integers X, Y and Z is 192. Z is
6 ft. Two percent of the people of country Y are taller equal to 4 and P is equal to the average of X and Y. What
than 6 ft. There are thrice as many people in country X as is the minimum possible value of P?
in country Y. Taking both countries together, what is the
(A) 6
percentage of people taller than 6 ft?
(B) 7
(A) 3.0
(C) 8
(B) 2.5
(D) 9.5
(C) 1.5

(D) 1.25

7. While teaching a creative writing class in India, I was surprised at receiving stories from the students that were all
set in distant places: in the American West with cowboys and in Manhattan penthouses with clinking ice cubes. This
was, till an eminent Caribbean writer gave the writers in the once-colonised countries the confidence to see the
shabby lives around them as worthy of being "told' The writer Of this passage is surprised by the creative writing
assignments Of his students, because ______________.

(A) Some Of the students had written stories set in foreign places

(B) None Of the students had written stories set in India

(C) None Of the students had written about ice cubes and cowboys

(D) Some Of the students had written about ice cubes and cowboys

8. Consider five people — Mita, Ganga, Rekha, Lakshmi
and Sana. Ganga is taller than both Rekha and Lakshmi.
Lakshmi is taller than Sana. Mita is taller than Ganga.
Which Of the following conclusions are true? 1 . Lakshmi
is taller than Rekha 2 . Rekha is shorter than Mita 3 .
Rekha is taller than Sana 4 . Sana is shorter than Ganga

(A) 1 and 3

(B) 3 only

(C) 2 and 4

(D) 1 only

9. "Indian history was written by British historians — extremely well documented and researched, but not always
impartial. History had to serve its purpose: Everything was made subservient to the glory Of the Union Jack. Latter-
day Indian scholars presented a contrary picture. " From the text above, we can infer that: Indian history written by
British historians _________ .

(A) was well documented and not researched but was always biased

(B) was not well documented and researched and was always biased

(C) was well documented and researched but was sometimes biased

(D) was not well documented and researched and was sometimes biased

10. It would take one machine 4 hours to complete a
production order and another machine 2 hours to
complete the same order. If both machines work
simultaneously at their respective constant rates, the
time taken to complete the same order is ___________
hours.

(A) ⅔

(B) ¾

(C) 4/3

(D) 7/3

ELECTRONICS & COMMUNICATION ENGINEERING

11. In binary frequency shift keying (FSK), the given 12. A discrete-time all-pass system has two of its poles
signal wave-forms are arrayl u (t)=5 (20000 π t) ; 0 ≤ t ≤ at 0.25∠0° and 2∠30° . Which one of the following
0
T, and \\ u (t)=5 (22000 π t) ; 0 ≤ t ≤ T array where T is statements about the system is TRUE?
1
the bit-duration interval and t is in seconds. Both u₀(t)
(A) It has two more poles at 0.5∠30° and 4∠0° .
and u₁(t) are zero outside the interval 0 ≤ t ≤ T . With a
(B) It is stable only when the impulse response is two-sided.
matched filter (correlator) based receiver, the smallest
positive value of T (in milliseconds) required to have u₀(t) (C) It has constant phase response over all frequencies.

and u₁ (t) uncorrelated is (D) It has constant phase response over the entire z-plane.

(A) 0.25 ms

(B) 0.5 ms

(C) 0.75 ms

(D) 1.0 ms

13. A finite duration discrete-time signal x[n] is obtained 14. The doping concentrations on the p-side and n-side of
by sampling the continuous-time signal x(t) = cos(200πt) a silicon diode are 1 × 1016 cm-3 and 1 × 1017 cm-3,
at sampling instants t = n/400, n = 0,1,.,7. The 8-point respectively. A forward bias of 0.3 V is applied to the
discrete Fourier transform (DFT) of x[n] is defined as diode. At T = 300 K, the intrinsic carrier concentration of
X[k]=Σ 7 x[n] e-j (π k n)/(4) , k=0,1, ⋯, 7 Which one of silicon ni = 1.5 × 1010 cm-3 and kT / q = 26 mV. The
n=0
the following statements is TRUE? electron concentration at the edge of the depletion
region on the p-side is
(A) All X[k] are non-zero

(B) Only X[4] is non-zero. (A) 2.3 × 109 cm-3

(C) Only X [2] and X[6] are non-zero. (B) 1 * 1016 cm-3

(D) Only X[3] and X[5] are non-zero. (C) 1 * 1017 cm-3

(D) 2.25 × 106 cm-3

15. Using the incremental low of frequency small signal 16. An abrupt pn junction (located at x = 0) is uniformly
model of the MOS device,the Norton equivalent doped on both p and n sides. The width of the depletion
resistance of the following circuit is region is W and the electric field variation in the x-
direction is E(x). Which of the following figures
(A) r +R+g r R
ds m ds
represents the electric field profile near the pn junction?
(B) r +R1+g r
ds m ds
(A)
(C) r +1g +R
ds m
(B)
(D) r +R
ds
(C)

(D)

17. The base of an npn BJT TI has a linear doping profile Ng(x) as shown below. The base of another non BJT T2 has a
uniform doping N of 1017 cm-3. All other parameters are identical for both the devices. Assuming that the hole
B
density profile is the same as that of doping, the common-emitter current gain of T2 is approximately 2.0 times that of
Ti. approximately 0.3 times that of Ti. approximately 2.5 times that of Ti. approximately 0.7 times that of Ti.

(A) approximately 2.0 times that of T1.

(B) approximately 0.3 times that of T1.

(C) approximately 2.5 times that of T1

(D) approximately 0.7 times that of T1

18. What is the electric flux ∫ E · d a through a quarter- 19. A digital communication system transmits a block of
cylinder of height H (as shown in the figure) due to an N bits. The probability of error in decoding a bit is a. The
infinitely long line charge along the axis of the cylinder error event of each bit is independent of the error events
with a charge density of Q ? of the other bits. The received block is declared
erroneous if at least one of its bits is decoded wrongly.
(A) ⁡ ����/��₀
The probability that the received block is erroneous is
(B) ⁡����/4��₀
N(1-a) QN 1-N 1-(1 - a)"
(C) ⁡ ����0/4Q
(A) N(1-a)
(D) ⁡ 4H/Q��₀
(B) an

(C) 1- an

(D) 1-(1- an)

20. Standard air-filled rectangular waveguides of 21. Consider a wireless communication link between a
dimensions a = 2.29 cm and b = 1.02 cm are designed for transmitter and a receiver located in free space, with
radar applications. It is desired that these waveguides finite and strictly positive capacity. If the effective areas
operate only in the dominant TE10 mode with the of the transmitter and the receiver antennas. and the
operating frequency at least 25% above the cutoff distance between them are all doubled. and everything
frequency of the TE10 mode but not higher than 95% of else remains unchanged. The maximum capacity of the
the next higher cutoff frequency. The range of the wireless link
allowable operating frequency f is
(A) increases by a factor of 2
(A) 8.19 GHz ≤ f ≤ 13.1 GHz (B) decreases by a factor of 2
(B) 8.19 GHz ≤ f ≤ 12.45 GHz (C) remains unchanged
(C) 6.55 GHz ≤ f ≤ 13.1 GHz (D) decreases by a factor of √2
(D) 1.64 GHz ≤ f ≤ 10.24 GHz

22. For matrices of same dimension M, N and scalar c, 23. Which one of the following statements about
which one of these properties DOES NOT ALWAYS hold? differential pulse code modulation (DPCM) is true?

(A) (MT)T = M (A) The sum of message signal sample with its prediction is

(B) (cM)T = c(M)T quantized

(C) (M + N)T) = MT + NT (B) The message signal sample is directly quantized, and its
prediction is not used
(D) MN = NM
(C) The difference of message signal sample and a random
signal is quantized

(D) The difference of message signal sample with its
prediction is quantized

24. The capacity of a Binary Symmetric Channel (BSC) 25. The digital logic shown in the figure satisfies the
with cross-over probability 0.5 is ________ given state diagram when Q1 is connected to input A of
the XOR gate.
(A) ‐0.01 to 0.01

(B) -0.02 to 0.03

(C) 0.03 to 0.04

(D) 0.05 to 0.06

Suppose the XOR gate is replaced by an XNOR gate.
Which one of the following options preserves the state
diagram?

(A) Input A is connected to Q2

(B) Input A is connected to Q2

(C) Input A is connected to Q1 and S is complemented

(D) Input A is connected to Q1

26. A unity feedback control system is characterized by 27. A good transconductance amplifier should have
the open-loop transfer function G(s)=10 K(s+2)s3+3 s2
(A) high input resistance and low output resistance
+10 The Nyquist path and the corresponding Nyquist plot
(B) low input resistance and high output resistance
of G(s) are shown in the figures below.
If 0 K 1, then the number of poles of the closed-loop (C) high input and output resistances

transfer function that lie in the right-half of the s-plane is (D) low input and output resistances

(A) 0

(B) 1

(C) 2

(D) 3

28. When the optical power incident on a photodiode is 29. Which one of the following options correctly
10μW and the responsivity is 0.8 A/W, the photocurrent describes the locations of the roots of the equation s⁴ +
generated (in μA) is ________. s² + I = O on the complex plane?

(A) 7.99 to 8.0 (A) Four left half plane (LHP) roots

(B) 8.0 to 8.1 (B) One right half plane (RHP) root. one LHP root and two

(C) 8.3 to 8.4 roots on the imaginal)' axis

(D) 7.98 to 7.99 (C) Two RHP roots and two LHP roots

(D) All four roots are on the imaginary axis

30. In a housing society, half of the families have a single 31. Consider the following statements about the linear
child per family, while the remaining half have two dependence of the real valued functions y₁ = 1, y₂ = x
children per family. The probability that a child picked at and y₃ = x², over the field of real numbers. I. y , y and y
1 2
random, has a sibling is _____ are linearly independent on -1 ≤ x ≤ 0 II. y , y and y
3 1 2 3
are linearly dependent on 0 ≤ x ≤ 1 III. y , y and y are
(A) 0.63 to 0.65 1 2 3
linearly independent on 0 ≤ x ≤ 1 IV. y , y and y are
1 2 3
(B) 0.66 to 0.69
linearly dependent on -1 ≤ x ≤ 0 Which one among the
(C) 0.63 to 0.66 following is correct?
(D) 0.65 to 0.68
(A) Both I and II are true

(B) Both I and Ill are true

(C) Both II and lV

(D) Both III and lV are

32. P, Q, and R are the decimal integers corresponding 33. In the circuit shown, if ��(��) = 2⁡sin(1000⁡��) volts, �� = 1 kΩ
to the 4-bit binary number 1100 considered in signed and �� = 1⁡��F, then the steady-state current ��(��), in
magnitude, l's complement, and 2's complement milliamperes (mA), is
representations, respectively. The 6-bit 2's complement
(A) sin(1000⁡��) ⁡+ ⁡cos(1000⁡��)
representation of (P+Q+R) is
(B) 2⁡sin(1000⁡��) ⁡+ ⁡2⁡cos(1000⁡��)
(A) 110101
(C) 3⁡sin(1000⁡��) ⁡+ ⁡cos(1000⁡��)
(B) 110010
(D) sin(1000⁡��) ⁡+ ⁡3⁡cos(1000⁡��)
(C) 111101

(D) 111001

34. In the latch circuit shown. the NAND gates have non- 35. Let X be a real-valued random variable with E[X] and
zero. but unequal propagation delays. The present input E[X2] denoting the mean values of X and X2 respectively.
condition is: P = Q = '0'. If the input condition is changed The relation which always holds true is
simultaneously to P = Q = '1', the outputs X and Y are
(A) (E[X2]) > E[X2]
(A) X = ‘1’ , Y = ‘1’ (B) E[X2] ≥ (E[X2])
(B) either X = ‘1’ , Y = ‘0’ , X = ‘0’, Y = ‘1’ (C) E[X2] = (E[X2])
(C) either X = ‘1’ , Y = ‘0’ , X = ‘0’, Y = ‘0’ (D) E[X2] > (E[X2])
(D) X = ‘0’ , Y = ‘0’

36. For a parallel plate transmission line, let v be the 37. A pn junction solar cell of area 1.0 cm2, illuminated
speed of propagation and uniformly with 100 mW cm-2, has the following
parameters: Efficiency = 15%, open circuit voltage = 0.7
(A) halving of v and no change in Z
V, fill factor = 0.8, and thickness = 200 um. The charge of
(B) no changes in v and halving of Z
an electron is 1.6 X 10-19 C. The average optical
(C) no change in both v and Z generation rate (in cm-3s-1) is 0.84 x 1019 5.57 x 1019
(D) halving of both v and Z 1.04 x 1019

(A) 0.84 x 1019

(B) 5.57x1019

(C) 1.04x1019

(D) 83.60x1019

38. Consider a binary memoryless channel characterized 39. In the circuit shown, A and B are the inputs and F is
by the transition probability diagram shown in the figure. the output. What is the functionality of the circuit?
The channel is
(A) Latch
(A) lossless (B) XNOR
(B) noiseless (C) SRAM Cell
(C) useless (D) XOR
(D) deterministic

40. Consider the configuration shown in the figure which 41. A second-order LTI system is described by the
is a portion of a larger electrical network following state equations, (d)/(d t) x (t)-x (t)=0 (d)/(d t)
1 2
x (t)+2 x (t)+3 x (t)=r(t) where X1(t) and X2(t) are the
2 1 2
two state variables and denotes the input. The output
c(t) = X1(t). The system is

(A) undamped (oscillatory)

(B) underdamped
For R = 1 Ω and currents i = 2
1
(C) critically damped

(D) overdamped
A, i = −1 A, i = −4 A, which one of the following is
4 5
TRUE?

(A) i = 5 A
6
(B) i = - 4 A
3
(C) Data is sufficient to conclude that the supposed currents
are impossible

(D) Data is insufficient to identify the currents i , i , and i
2 3 6

42. The following FIVE instructions were executed on an 43. Which one of the following options describes correctly
8085 microprocessor. WI & 33H MVI B, 7SH ADD B CMA the equilibrium band diagram at T=300 K of a Silicon pnn
ANI 321-1 The Accumulator value immediately after the +p++ configuration shown in the figure?

execution of the fifth instntction is
(A)
(A) OOH (B)
(B) IOH (C)
(C) 11H (D)
(D) 32H

44. A linear Hamming code is used to map 4-bit 45.
messages to 7-bit codewords. The encoder mapping is
For the operational amplifier circuit shown, the output
linear. If the message 0001 is mapped to the codeword
saturation voltages are ± 15 V. The upper and lower
0000111, and the message 0011 is mapped to the
threshold voltages for the circuit are, respectively,
codeword 1100110, then the message 0010 is mapped to

(A) 0010011

(B) 1100001

(C) 1111000

(D) 1111111

(A) +5 V and -5 V

(B) +7 V and -3 V

(C) +3 V and -7 V

(D) +3 V and -3 V

46. For the amplifier shown in the figure, the BJT 47. The state equation and the output equation of a
parameters are V = 0.7 V, β = 200, and thermal voltage control system are given below: aligned &x=[arraycc -4 &
BE
V = 25 mV. The voltage gain (v /v ) of the amplifier is -1.5 \\ 4 & 0 array] x+[arrayl 2 \\ 0 array] u\\ &y=[arrayll
T o i
1.5 & 0.625 array] x aligned The transfer function
representation of the system is

(A) 3 s+5s2+4 s+6

(B) 3 s-1.875s2+4 s+6

(C) 4 s+1.5s2+4 s+6
_______ .
(D) 6 s+5s2+4 s+6

(A) -220 to -210

(B) -230 to -220

(C) -240 to ‐230

(D) -250 to -240

48. Let f(x, y)=a x2+b y2x y where a and b are constants. 49.  Which one of the following functions is analytic over
If (∂ f)/(∂ x)=(∂ f)/(∂ y) at x=1 and y=2, then the relation the entire complex plane?
between a and b is
(A) ln⁡(��)
(A) a=(b)/(4) (B) 1/��
��
(B) a=(b)/(2) (C) 1/1−��
(C) a=2 b (D) cos⁡(��)
(D) a=4 b

50. In the table shown, List I and List II, respectively, 51. The families of curves represented by the solution of
contain terms appearing on the left-hand side and the the equation (dy/dx) = - (x/y)n for �� = −1 and �� = +1,
right-hand side of Maxwell’s equations (in their standard respectively, are
form). Match the left-hand side with the corresponding
(A) Parabolas and Circles
right-hand side.
(B) Circles and Hyperbolas
(A) 1 - P, 2 - R, 3 - Q, 4 - S
(C) Hyperbolas and Circles
(B) 1 - Q, 2 - R, 3 - P, 4 - S
(D) Hyperbolas and Parabolas
(C) 1 - Q, 2 - S, 3 - P, 4 - R

(D) 1 - R, 2 - Q, 3 - S, 4 - P

52. In a DRAM, 53. For maximum power transfer between two cascaded
sections of an electrical network, the relationship
(A) periodic refreshing is not required
between the output impedance Z of the first section to
1
(B) information is stored in a capacitor
the input impedance Z of the second section is
2
(C) information is stored in a latch
(A) Z = Z
2 1
(D) both read and write operations can be performed
(B) Z = - Z
simultaneously 2 1
(C) Z = Z *
2 1
(D) Z = - Z *
2 1

54. A one-sided abrupt pn junction diode has a depletion
capacitance C of 50 pF at a reverse bias of 0.2 V. The
D
plot of 1/CC C2 versus the applied voltage V for this
D
diode is a straight line as shown in the figure below. The
slope of the plot is ___________ 1020 F-2V-1.? 55. Consider the matrix
x

(A) -5.7
which is obtained by reversing the order of the columns
(B) -3.8
of the identity matrix I . Let P = I + a J , where a is a
6 6 6
(C) -1.2
non-negative real number. The value of a for which det(P)
(D) -0.4 = 0 is ________.

(A) 0..98 to 0.99

(B) 0.99 to 1.01

(C) 1.02 to 1.03

(D) 0.97 to 0.98

56. A programmable logic array (PLA) is shown in the 57. The volume under the surface z(x, y) = x + y and
figure. above the triangle in the x - y plane defined by 0 ≤ y ≤ x
The Boolean function F implemented is and 0 ≤ x ≤ 12 is _________.

(A) P Q R+P Q R+P Q R (A) 865 to 867

(B) (P+Q+R)(P+Q+R)(P+Q+R) (B) 863 to 867

(C) P Q R+P Q R+P Q R (C) 866 to 868

(D) (P+Q+R)(P+Q+R)(P+Q+R) (D) 862 to 866

59. The block diagram of a system is illustrated in the
58.
figure shown, where ��(��) is the input and ��(��) is the output.
(A) 40 to 42 The transfer function ��(��) =��(��) /��(��) is

(B) 46 to 52 (A) ��(��)2= s 2+s2+s+1
+1s

(C) 42 to 48 (B) ��(��)2= s 2+2s2+s+1
+1s

(D) 52 to 58 2+s+1
(C) ��(��) = s+1s

(D) ��(��)2= s 2+1
+12s

60. For a narrow base PNP BJT, the excess minority
carrier concentrations ( Δ n for emitter, Δ p , for base.
E B
Δn for collector) normalised to equilibrium minority
C
carrier concentrations ( n for emitter p for base, n
E0 B0 C
for collector) in the quasi-neutral emitter, base and
0
collector regions are shown below. Which one of the
following biasing modes is the transistor operating in?

(A) Forward active

(B) Saturation

(C) Inverse active

(D) Cutoff

61. For the given circuit, which one of the following is the correct state equation?

(A) (d)/(d t)[arrayl v \\ i array]=[arraycc -4 & 4 \\ -2 & -4 array][arrayl v \\ i array]+[arrayll 0 & 4 \\ 4 & 0 array][arrayl i \\ i array]
1 2
(B) (d)/(d t)[arrayl v \\ i array]=[arraycc -4 & -4 \\ -2 & 4 array][arrayl v \\ i array]+[arrayll 4 & 4 \\ 4 & 0 array][arrayl i \\ i array]
1 2
(C) (d)/(d t)[arrayl v \\ i array]=[arraycc 4 & -4 \\ -2 & -4 array][arrayl v \\ i array]+[arrayll 0 & 4 \\ 4 & 4 array][arrayl i \\ i array]
1 2
(D) (d)/(d t)[arrayl v \\ i array]=[arraycc -4 & -4 \\ -2 & -4 array][arrayl v \\ i array]+[arrayll 4 & 0 \\ 0 & 4 array][arrayl i \\ i
1 2
array]

62. The Nyquist plot of the transfer function G(s)=K(s2+2 63. Let the input be u and the output be y of a system,
s+2)(s+2) does not encircle the point (—1 + j0) for K = 10 and the other parameters are real constants. Identify
but does encircle the point (—1 + j0) for K = 100. Then which among the following systems is not a linear
the closed loop system (having unity gain feedback) is system:

(A) stable for K = 10 and stable for K = 100 (A) d3 yd t3+a d2 yd t2+a (d y)/(d t)+a y=b u+b (d
1 2 3 3 2
(B) stable for K = 10 and unstable for K = 100 u)/(d t)+b d2 ud t2 (with initial rest conditions)
1

(C) unstable for K = 10 and stable for K = 100 (B) y(t)=∫ t eα(t-τ) β u(τ) d τ
0

(D) unstable for K = 10 and unstable for K = 100 (C) y=a u+b, b ≠ 0

(D) y=au

64. Which one of the following is the general solution of 65. Let X(t) be a wide sense stationary random process
the first order differential equation (d y)/(d x)=(x+y-1)2 with the power spectral density Sₓ(f) as shown in Figure (
where x, y are real? a), where f is in Hertz (Hz). The random process X(t) is
input to an ideal Iowpass filter with the frequency
(A) y = 1 + x + tan-I(x + c), where c is a constant.
response H(f)=\arrayll 1, & |f| ≤ (1)/(2) Hz \\ 0, &
(B) y = 1 + x + tan(x + c), where c is a constant.
|f|>(1)/(2) Hz array. as shown in Figure ( b). The output of
(C) y = I — x + tan¯l(x + c), where c is a constant. the Iowpass filter is Y(t). Select the correct option:
(D) y = 1 — x + tan(x + c), where c is a constant.
(A) only I is true

(B) only II and Ill are true

(C) only I and II are true

(D) only I and Ill are true

ANSWER KEY

1. (C) 2. (B) 3. (B) 4. (D) 5. (D) 6. (B) 7. (B)

8. (C) 9. (C) 10. (C) 11. (B) 12. (B) 13. (C) 14. (A)

15. (B) 16. (A) 17. (A) 18. (B) 19. (D) 20. (B) 21. (C)

22. (D) 23. (D) 24. (A) 25. (D) 26. (C) 27. (C) 28. (A)

29. (C) 30. (D) 31. (B) 32. (A) 33. (C) 34. (B) 35. (B)

36. (B) 37. (A) 38. (C) 39. (B) 40. (A) 41. (D) 42. (B)

43. (A) 44. (B) 45. (B) 46. (C) 47. (A) 48. (D) 49. (D)

50. (B) 51. (C) 52. (B) 53. (C) 54. (A) 55. (B) 56. (C)

57. (D) 58. (C) 59. (B) 60. (C) 61. (A) 62. (B) 63. (C)

64. (D) 65. (A)