EE GATE 2015 PAPER 02 - Online Test

Q1.
Consider the following Sum of Products expression, F.

The equivalent Product of Sums expression is
Answer : Option A
Explaination / Solution:



Q2. In the following sequential circuit, the initial state (before the first clock pulse) of the circuit is Q1Q0 = 00. The state (Q1Q0), immediately after the 333rd clock pulse is

Answer : Option B
Explaination / Solution:



Q3. A Boolean function f(A,B,C,D) = ∏(1,5,12,15) is to be implemented using an 8×1 multiplexer (A is MSB). The inputs ABC are connected to the select inputs S2S1S0 of the multiplexer respectively.
 
Which one of the following options gives the correct inputs to pins 0,1,2,3,4,5,6,7 in order?
Answer : Option B
Explaination / Solution:



Q4. Based on the given statements, select the most appropriate option to solve the given question. What will be the total weight of 10 poles each of same weight? Statements: (I) One fourth of the weight of a pole is 5 kg (II) The total weight of these poles is 160 kg more than the total weight of two poles.
Answer : Option C
Explaination / Solution:
No Explaination.


Q5. In a triangle PQR, PS is the angle bisector of  What is the length of PS?

Answer : Option B
Explaination / Solution:
No Explaination.


Q6. Four branches of a company are located at M,N,O, and P. M is north of N at a distance of 4 km; P is south of O at a distance of 2 km; N is southeast of O by 1 km. What is the distance between M and P in km?
Answer : Option A
Explaination / Solution:



Q7. If the list of letters, P, R, S, T, U is an arithmetic sequence, which of the following are also in arithmetic sequence?
I. 2P,2R,2S,2T,2U
II. P-3,R-3,S-3,T-3,U-3
III. P2, R2, S2, T2, U2
Answer : Option B
Explaination / Solution:
No Explaination.


Q8. The synchronous generator shown in the figure is supplying active power to an infinite bus via two short, lossless transmission lines, and is initially in steady state. The mechanical power input to the generator and the voltage magnitude E are constant. If one line is tripped at time t1 by opening the circuit breakers at the two ends (although there is no fault), then it is seen that the generator undergoes a stable transient. Which one of the following waveforms of the rotor angle δ shows the transient correctly? 

Answer : Option A
Explaination / Solution:



Q9. For linear time invariant systems, that are Bounded Input Bounded stable, which one of the following statement is TRUE?
Answer : Option B
Explaination / Solution:
No Explaination.


Q10. Consider a signal defined by
 
Its Fourier Transform is 
Answer : Option A
Explaination / Solution: