This document contains a collection of questions from various topics including mathematics, communication, electronics, and GEAS (presumably general engineering and applied science) along with their answers. The questions range from easy to difficult and cover concepts such as antenna gain, probability, stress and strain in materials, signal modulation, and more.

1. EASY

2. EASY
MATHEMATICS
He was known as the father
of modern geometry

3. EASY
ANSWER
Euclid

4. EASY
EST
a flat conductor separated by
an insulating dielectric from a
large ground plane that is
usually one-quarter or one-half
wavelength long

5. EASY
ANSWER
microstrip

6. EASY
EST
One complete revolution
around a Smith Chart
represents _________
wavelengths.

7. EASY
ANSWER
1/2

8. EASY
Mathematics
These are circles that have
the same center.

9. EASY
ANSWER
concentric circles

10. EASY
Communication
The modulated peak value of
a signal is 125V and the
unmodulated carrier value is
85V. What is the modulation
index?

11. EASY
ANSWER
0.47

12. EASY
Communication
A mismatched transmission
line is also referred to as a
___________ line.

13. EASY
ANSWER
resonant

14. EASY
Communications
It is the ratio of the speed of
propagation on a line to that
of light in free-space.

15. EASY
ANSWER
velocity factor

16. EASY
Electronics
Which of the following is the
most widely used UTP cable
that can carry baseband data
at rates up to 100 Mbps at a
range up to 100m?

17. EASY
ANSWER
CAT 5

18. EASY
GEAS
This component measures
the pulling (or pushing) action
perpendicular to the section

19. EASY
ANSWER
Axial forces

20. EASY
GEAS
It is the point at which there is an
appreciable elongation of the
material without any
corresponding increase of load

21. EASY
ANSWER
Yield point

22. average

23. average
COMMUNICATION
Determine the phase-shift
represented by a 75 ns delay of
a 4 MHz signal to a 75-ft cable
with a dielectric constant of 2.3.

24. EASY
ANSWER
108 degrees
average

25. average
EASY
SOLUTION
Θ = 360 td / T
T =1/f = 1 / 4MHz = 250 ns
Θ = 360 (75) / 250 = 108
degrees

26. average
EASY
EST
The input to an FM receiver
has a S/N of 2.8. What is the
frequency deviation caused
by the noise if the modulating
frequency is 1.5KHz and the
permitted deviation is 4KHz?

27. EASY
ANSWER
547.8 Hz
average

28. average
EASY
Solution
 =  fm
= sin -1 N/S
= sin -1 1/2.8
= 0.3652
 = (0.3652)(1.5KHz) = 547.8 Hz

29. average
EASY
EST
What circuit is used to return
the frequency response of a
signal to its normal, “flat”
level?

30. EASY
ANSWER
de-emphasis
average

31. Mathematics average
EASY
Let k be the number of gallons of a
50% silver nitrate solution that are
added to 15 gallons of a 30% silver
nitrate solution to produce a 35% silver
nitrate solution. Let w be the number of
sides of a regular polygon whose
degree measure of one of the exterior
angles is 8. Find the value of (k+w).

32. EASY
ANSWER
50
average

33. EASY
Mathematics
In how many distinct points do the
real graphs of
Intersect?
average

34. EASY
ANSWER
2
average

35. average
EASY
GEAS
It is the maximum safe stress
that a material can carry

36. EASY
ANSWER
working stress
average

37. average
EASY
Communications
It is the most common means of
overcoming the problems of
quantizing error and noise.

38. EASY
ANSWER
companding
average

39. EASY
Electronics
It can be used in a single-stage
oscillator circuit to provide a
pulse signal suitable for digital-circuit
applications.
average

40. average
EASY
ANSWER
UJT or unijunction transistor

41. average GEAS
A large pipe, called a penstock in hydraulic
work, is 1.5 m in diameter. It is composed of
wooden staves bound together by steel
hoops, each 300 sq. Millimetre in cross-sectional
area, and is used to conduct water
from a reservoir to power a house. If the
maximum tensile stress permitted in the
hoops is 130 MPa, what is the maximum
spacing between hoops under a head of
water of 30 m?

42. AVErage
ANSWER
L = 177 mm

43. AVErage
SOLUTION
(1000)(9.81)(30)(1.5)L = 2(300x10^-
6)(130x10^6)
L = 177 mm

44. average
GEAS
At what angular velocity will the
stress in a rotating steel ring equal
to 150 MPa if its mean radius is 220
mm? The density of the steel is 7.85
Mg/m^3.

45. AVErage
ANSWER
628 rad/s

46. AVErage
ANSWER
ω = (1/0.22)(150x10^6 /
7850)^(1/2)
ω = 628 rad/s

47. Difficult

48. difficult
COMMUNICATION
It means that the characteristics
and performance of an antenna
are the same whether the
antenna is radiating or
intercepting an electromagnetic
signal.

49. EASY
ANSWER
antenna reciprocity
difficult

50. difficult
EASY
EST
Which of the following methods is
used to lower the resonant frequency
of a shortened vertical antenna?

51. EASY
ANSWER
top hat loading
difficult

52. difficult
EASY
EST
Calculate the gain (relative to an
isotropic) of a parabolic antenna
that has a diameter of 3 m, an
efficiency of 60% and operates
at a frequency of 4 GHz.

53. EASY
ANSWER
39.8 dBi
difficult

54. SOLUTION EASY
G =  2 D2/ 2
 = 3x108/ 4MHz = 0.075 m
G = 0.62(3)2
0.0752
G= 9474.8
G = 10 log 9474.8
G = 39.8 dBi
difficult

55. difficult
EASY
Mathematics
Team A and B play a series of
games. The first to win two games
wins the series and Team A has a
70% chance of winning any game.
What is the probability that Team A
wins the series?

56. EASY
ANSWER
0.784
difficult

57. Mathematics diffEicAuSltY

58. EASY
ANSWER
49
difficult

59. difficult
EASY
Communication
It is a phenomenon caused by any
support insulators used at the ends
of the wire antenna.

60. EASY
ANSWER
end effect
difficult

61. Electronics diffEicAuSltY

62. EASY
ANSWER
16.2 Hz
difficult

63. EASY
SOLUTION
difficult

64. GEAS difficult
EASY
A pipe carry steam at 3.5 MPa has an
outside diameter of 450 mm and a wall
thickness of 10 mm. A gasket is inserted
between the flange at one end of the pipe
and a flat plate use to cap the end. How
many 40-mm-diameter bolts must be used
to hold the cap on if the allowable stress in
the bolts is 80 MPa, of which 55 MPa is
the initial stress?

65. EASY
ANSWER
N = 17
difficult

66. difficult
EASY
SOLUTION
N = (3.5x10^6)(0.45 –
2x0.01)^2 / [(0.04^2)(88–
55)x10^6]
N= 16.18 round up
N = 17

67. Difficult
GEAS
A pipe carry steam at 3.5 MPa has
an outside diameter of 450 mm and
a wall thickness of 10 mm. A gasket
is inserted between the flange at one
end of the pipe and a flat plate use
to cap the end. What circumferential
stress is developed in the pipe?

68. Difficult
ANSWER
= 75.3 MPa

69. Difficult
SOLUTION
σ = (3.5)(450 – 2x10) / [2(10)]
= 75.3 MPa

70. GEAS Difficult
A steel rod having a cross-sectional
area of 300 sq. Meters and a length of
150 m is suspended vertically from one
end. It supports a tensile load of 20 kN
at the lower end. If the unit mass of
steel is 7850 kg/m^3 and E = 200x10^3
MN/m^2, find the total elongation of the
rod.

71. Difficult
Answer
δ = 54.3 mm

72. Difficult
ANSWER
δ = [(7850)(9.8)(150^2) / 2(200X10^9)] +
[(20000)(150)(1000^2) / 300(200X10^9)]
δ = 54.3 mm