EE GATE 2015 PAPER 02 - Online Test
Q1. Given f (z) = g(z) + h(z), where f, g, h are complex valued functions of a complex variable z. Which one of the following statements is TRUE?
Answer : Option B
Explaination / Solution:
g(z) and h(z) are differentiable then f(z) = g(z) + h(z) is differentiable.
Q2. The unit step response of a system with the transfer function 
is given by
which one of the following waveforms?
is given by
which one of the following waveforms?
Answer : Option A
Explaination / Solution:
Q3. The Laplace transform of 
The Laplace transform of 
is
The Laplace transform of is
Answer : Option B
Explaination / Solution:
Q4. We have a set of 3 linear equations in 3 unknowns.
means X and Y are
equivalent statements and 
means X and Y are not equivalent statements.
means X and Y are
equivalent statements and means X and Y are not equivalent statements. P: There is a unique solution.
Q: The equations are linearly independent.
R: All eigenvalues of the coefficient matrix are nonzero.
S: The determinant of the coefficient matrix is nonzero.
Which one of the following is TRUE?
Answer : Option A
Explaination / Solution:
No Explaination.
Q5. Two coins R and S are tossed. The 4 joint events HRHS,
TR TS,HR TS,TR HS have
probabilities 0.28, 0.18, 0.30, 0.24, respectively, where H represents head and T
represents tail. Which one of the following is TRUE?
Answer : Option D
Explaination / Solution:
Q6. The z-Transform of a sequence x[n] is given as X(z) = 2z+4-4/z+3z2. If y[n] is the first
difference of x[n], then Y(z) is given by
Answer : Option A
Explaination / Solution:
y(n) is first difference of x(n) So
g(n)=x(n)-x(n-1)
Q7. In the following circuit, the input voltage Vin is 100
sin(100πt). For 100πRC = 50, the
average voltages across R (in volts) under steady-state is nearest to
Answer : Option C
Explaination / Solution:
Given circuit is voltage doubler
Vm = Voltage across each capacitor = 100V
Voltage across two capacitors (in steady state)
= 2Vm = 200V
Q8. A series RL circuit is excited at t = 0 by closing a switch as shown in the figure.
Assuming zero initial conditions, the value of 
is
is
Answer : Option D
Explaination / Solution:
Q9. In the given network V1 = 100∠0° V, V2 = 100∠ − 120° V, V3 = 100∠ + 120° V. The phasor
current 𝑖 (in Ampere) is
Answer : Option D
Explaination / Solution:
Q10. In the given network V1 = 100∠0°V, V2 = 100∠-120°V, V3 = 100∠+120°V. The phasor
current i (in Ampere) is
Answer : Option A
Explaination / Solution:
