Mock GATE Exam - 2019 - Electrical Engineering
65 Questions
| Total Attempts: 33
. Paper Specific Instructions EE: ELECTRICAL Engineering Duration : 180 minutes Total Marks : 100 Read the following instructions carefully Go through various question palette symbols and understand their meanings before starting the exami
Questions and Answers
- 1.Fact: If it rains, then the field is wet. Read the following statements: (i) It rains (ii) The field is not wet (iii) The field is wet (iv) It did not rain Which one of the options given below is NOT logically possible, based on the given fact?
- A.
If (iii), then (iv)
- B.
If (i), then (iii).
- C.
If (i), then (ii).
- D.
If (ii), then (iv).
- 2.What is the adverb for the given word below? Misogynous
- A.
Misogyousness
- B.
Misogynity
- C.
Misogynously
- D.
Misogynous
- 3.Choose the most appropriate alternative from the options given below to complete the following sentence: Despite several ___________ the mission succeeded in its attempt to resolve the conflict.
- A.
Attempts
- B.
Setbacks
- C.
Meetings
- D.
Delegations
- 4.Choose the most appropriate word from the options given below to complete the following sentence: His rather casual remarks on politics______his black of seriousness about the subject.
- A.
Masked
- B.
Belied
- C.
Betrayed
- D.
Suppressed
- 5.After the discussion, Tom said to me, 'Please revert!'. He expects me to _________.
- A.
Retract
- B.
Get back to him
- C.
Move in reverse
- D.
Retreat
- 6.From the time the front of a train enters a platform, it takes 25 seconds for the back of the train to leave the platform, while travelling at a constant speed of 54 km/h. At the same speed, it takes 14 seconds to pass a man running at 9 km/h in the same direction as the train. What is the length of the train and that of the platform in meters, respectively?
- A.
210 and 140
- B.
162.5 and 187.5
- C.
245 and 130
- D.
175 and 200
- 7.Given digits 2, 2, 3, 3, 4, 4, 4, 4 how many distinct 4 digit numbers greater than 3000 can be formed?
- A.
50
- B.
51
- C.
52
- D.
53
- 8.A transporter receives the same number of orders each day. Currently, he has some pending orders (backlog) to be shipped. If he uses 7 trucks, then at the end of the 4th day he can clear all the orders. Alternatively, if he uses only 3 trucks, then all the orders are cleared at the end of the 10th day. What is the minimum number of trucks required so that there will be no pending order at the end of the 5th day?
- A.
4
- B.
5
- C.
6
- D.
7
- 9.Which of the following assertions are CORRECT? P: Adding 7 to each entry in a list adds 7 to the mean of the list Q: Adding 7 to each entry in a list adds 7 to the standard deviation of the list R: Doubling each entry in a list doubles the mean of the list S: Doubling each entry in a list leaves the standard deviation of the list unchanged
- A.
P, Q
- B.
Q, R
- C.
P, R
- D.
R, S
- 10.What will be the maximum sum of 44, 42, 40, ...... ?
- A.
500
- B.
502
- C.
504
- D.
506
- 11.The determinant of a 2x2 matrix is 50. If one eigenvalue of the matrix is 10, the other eigenvalue is [Blank]
- 12.The integral ∮C(ydx−xdy) is evaluated along the circle x^2+y^2=1/4 traversed in counter clockwise direction.The integral is equal to
- A.
0
- B.
π/4
- C.
−π/2
- D.
None
- 13.The area of a triangle formed by the tips of vectors a¯, b¯and c¯ is
- A.
0.5(a¯−b¯)⋅(a¯−c¯)
- B.
0.5 * ∣ (a¯−b¯)×(a¯−c¯) ∣
- C.
0.5 * (a¯×b¯)⋅c¯
- D.
None
- 14.The function y = |2 - 3x|
- A.
Is continuous ∀x ∈ R and differentiable ∀x ∈ R
- B.
Is continuous ∀x ∈ R and differentiable ∀x ∈ R except at x = 3/2
- C.
Is continuous ∀x ∈ R and differentiable ∀x ∈ R except at x = 2/3
- D.
Is continuous ∀x ∈ R except at x=3 and differentiable∀x ∈ R
- 15.Consider the differential equation 3y”(x)+27 y (x)=0 with initial conditions y (0)=0 and y’(0)=2000. The value of y at x =1 is [Blank]
- 16.The inverse Laplace transform of 1/(s^2+s) is
- A.
1+et
- B.
1+e-t
- C.
1-e-t
- D.
None
- 17.The product of two complex numbers 1 + i and 2 - 5i is
- A.
7 - 3i
- B.
3 - 4i
- C.
- 3 - 4i
- D.
7 + 3i
- 18.Four red balls, four green balls and four blue balls are put in a box. Three balls are pulled out of the box at random one after another without replacement. The probability that all the three balls are red is
- A.
1/72
- B.
1/55
- C.
1/36
- D.
1/27
- 19.The number of accidents occurring in a plant in a month follows Poisson distribution with mean as 5.2. The probability of occurrence of less than 2 accidents in the plant during a randomly selected month is
- A.
0.029
- B.
0.034
- C.
0.039
- D.
0.044
- 20.Torque exerted on a flywheel over a cycle is listed in the table. Flywheel energy (in J per unit cycle) using Simpson’s rule is Angle (degree) 0 60 120 180 240 300 360 Torque (Nm) 0 1066 -323 0 323 -355 0
- A.
542
- B.
993
- C.
986
- D.
None
- 21.
If VA-VB=6V, then VC-VD is- A.
–5V
- B.
2V
- C.
3V
- D.
6V
- 22.
In the figure, the value of resistor R is (25 + I/2) ohms, where I is the current in amperes. The current I is [Blank]
- 23.
The circuit below is excited by a sinusoidal source. The value of R, in Ω, for which the admittance of the circuit becomes a pure conductance at all frequencies is . [Blank]
- 24.
For the circuit given above, the Thevenin’s voltage across the terminals A and B is
- A.
1.25 V
- B.
0.25 V
- C.
1 V
- D.
0.5 V
- 25.
The figure shows the power per-phase representation of a phase-shifting transformer connected between buses 1 and 2, where αα is a complex number with non-zero real and imaginary parts. For the given circuit, Ybus and Zbus are bus admittance matrix and bus impedance matrix, respectively, each of size 2 × 2. Which one of the following statements is true?
- A.
Both Ybus and Zbus are symmetric
- B.
Ybus is symmetric and Zbus is unsymmetric
- C.
Ybus is unsymmetric and Zbus is symmetric
- D.
Both Ybus and Zbus are unsymmetric
![In the figure, the value of resistor R is (25 + I/2) ohms, where I is the current in amperes. The current I is
[Blank] - ProProfs](https://www.gate-exam.in/images/Qimage/EE/2014/Q-40.PNG "In the figure, the value of resistor R is (25 + I/2) ohms, where I is the current in amperes. The current I is
[Blank]")
![The circuit below is excited by a sinusoidal source. The value of R, in Ω, for which the admittance of the circuit becomes a pure conductance at all frequencies is .
[Blank] - ProProfs](https://www.gate-exam.in/images/Qimage/EE/2016/Q-64.PNG "The circuit below is excited by a sinusoidal source. The value of R, in Ω, for which the admittance of the circuit becomes a pure conductance at all frequencies is .
[Blank]")
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