# EE GATE 2012 (Test 5)

Tag: ee gate 2012
Q.1
One of the legacies of the Roman legions was discipline. In the legions, military law prevailed and discipline was brutal. Discipline on the battlefield kept units obedient, intact and fighting, even when the odds and conditions were against them. Which one of the following statements best sums up the meaning of the above passage?
A. Thorough regimentation was the main reason for the efficiency of the Roman legions even in adverse circumstances.
B. The legions were treated inhumanly as if the men were animals.
C. Discipline was the armies’ inheritance from their seniors.
D. The harsh discipline to which the legions were subjected to led to the odds and conditions being against them.
Explaination / Solution:
No Explaination.

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Q.2
In the sum of products function f (X, Y, Z) = ∑(2, 3, 4, 5), the prime implicants are
A.
B.
C.
D.
Explaination / Solution:

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Q.3
The voltage gain Av of the circuit shown below is

A.
B.
C.
D.
Explaination / Solution:

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Q.4
In the 3-phase inverter circuit shown, the load is balanced and the gating scheme is 1800 -conduction mode. All the switching devices are ideal
If the dc bus voltage V= 300 V, the power consumed by 3-phase load is
A. 1.5 kW
B. 2.0 kW
C. 2.5 kW
D. 3.0 kW
Explaination / Solution:

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Q.5
If  then the region of convergence (ROC) of its Z-transform in the Z-plane will be
A.
B.
C.
D.
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Q.6
The transfer function of a compensator is given as

The phase of the above lead compensator is maximum at
Explaination / Solution:

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Q.7
A two-phase load draws the following phase currents:   These currents are balanced if ϕ1 is equal to
A.
B.
C.
D.
Explaination / Solution:

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Q.8
The state variable description of an LTI system is given by
where y is the output and u is the input. The system is controllable for

A.
B.
C.
D.
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Q.9
With 10 V dc connected at port A in the linear nonreciprocal two-port network shown below, the following were observed:
(i) 1Ω connected at port B draws a current of 3 A
(ii) 2.5Ω W connected at port B draws a current of 2 A
With 10 V dc connected at port A, the current drawn by 7 Ω connected at port B is
A. 3/7 A
B. 5/7 A
C. 1 A
D. 9/7 A
Explaination / Solution:
No Explaination.

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Q.10
The maximum value of F(x) = x3 – 9x2 + 24x + 5 in the interval [1, 6] is
A. 21
B. 25
C. 41
D. 46