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MCQs

Total Questions : 73 | Page 7 of 8 pages
Question 61. Find the sum to n terms of the series 10+84+ 734 + .....
  1.    9(9n + 1)/10 + 1
  2.    9(9n - 1)/8 + 1
  3.    9(9n - 1)/8 + n
  4.    9(9n - 1)/8 + n2
 Discuss Question
Answer: Option D. -> 9(9n - 1)/8 + n2


-NA-


Question 62. In the summer of 2012, in New Delhi, the mean temperature of Monday to Wednesday was 41°C
and of Tuesday to Thursday was 43°C. If the temperature on Thursday was 15% higher than that of
Monday, then the temperature in °C on Thursday was
  1.    40
  2.    43
  3.    46
  4.    49
 Discuss Question
Answer: Option C. -> 46


-NA-


Question 63. For a periodic signal v(t) = 30 sin100t +10cos300t + 6 sin(500t + π/4), the fundamental frequency in rad/s is
  1.    100
  2.    300
  3.    500
  4.    1500
 Discuss Question
Answer: Option A. -> 100


-NA-


Question 64. A source vs (t) = V cos 100 πt has an internal impedance of 4 + j3 Ω. If a purely resistive load
connected to this source has to extract the maximum power out of the source, its value in Ω should be
  1.    3
  2.    4
  3.    5
  4.    7
 Discuss Question
Answer: Option C. -> 5


-NA-


Question 65. Which one of the following statements is NOT TRUE for a continuous time causal and stable
LTI system?
  1.    All the poles of the system must lie on the left side of the jω axis.
  2.    Zeros of the system can lie anywhere in the s-plane.
  3.    All the poles must lie within |s| =1.
  4.    All the roots of the characteristic equation must be located on the left side of the jω axis.
 Discuss Question
Answer: Option C. -> All the poles must lie within |s| =1.


-NA-


Question 66. A continuous random variable X has a probability density function f(x) = e-x, 0 < x < ∞. Then P{X > 1} is
  1.    0.368
  2.    0.5
  3.    0.632
  4.    1.0
 Discuss Question
Answer: Option A. -> 0.368


-NA-


Question 67. The differential pressure transmitter of a flow meter using a venturi tube reads 2.5 × 105 Pa for a flow rate of 0.5 m3/s. The approximate flow rate in m3/s for a differential pressure 0.9 × 105 Pa is
  1.    0.30
  2.    0.18
  3.    0.83
  4.    0.60
 Discuss Question
Answer: Option A. -> 0.30


-NA-


Question 68. The impulse response of a system is h(t) = t u(t) . For an input u(t -1) , the output is
  1.    t2/2 u(t)
  2.    t(t - 1)/2 u(t - 1)
  3.    (t - 1)2/2 u(t - 1)
  4.    (t2 - 1)/2 u(t - 1)
 Discuss Question
Answer: Option C. -> (t - 1)2/2 u(t - 1)


-NA-


Question 69. A band-limited signal with a maximum frequency of 5 kHz is to be sampled. According to the
sampling theorem, the sampling frequency in kHz which is not valid is
  1.    5
  2.    12
  3.    15
  4.    20
 Discuss Question
Answer: Option A. -> 5


-NA-


Question 70. A bulb in a staircase has two switches, one switch being at the ground floor and the other one at the
first floor. The bulb can be turned ON and also can be turned OFF by any one of the switches
irrespective of the state of the other switch. The logic of switching of the bulb resembles
  1.    an AND gate
  2.    an OR gate
  3.    an XOR gate
  4.    a NAND gate
 Discuss Question
Answer: Option C. -> an XOR gate


-NA-


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