1
GATE ECE 2010
MCQ (Single Correct Answer)
+2
-0.6
The signal flow graph of a system is shown below. GATE ECE 2010 Control Systems - State Space Analysis Question 28 English

The state variable representation of the system can be

A

$$\mathop x\limits^ \bullet = \left[ {\matrix{ 1 & 1 \cr { - 1} & 0 \cr } } \right]x + \left[ {\matrix{ 0 \cr 2 \cr } } \right]u$$
$$y = \left[ {\matrix{ 0 & {0.5} \cr } } \right]x$$
B
$$\eqalign{ & \mathop x\limits^ \bullet = \left[ {\matrix{ { - 1} & 1 \cr { - 1} & 0 \cr } } \right]x + \left[ {\matrix{ 0 \cr 2 \cr } } \right]u \cr & y = \left[ {\matrix{ 0 & {0.5} \cr } } \right]x \cr} $$
C
$$\eqalign{ & \mathop x\limits^ \bullet = \left[ {\matrix{ 1 & 1 \cr { - 1} & 0 \cr } } \right]x + \left[ {\matrix{ 0 \cr 2 \cr } } \right]u \cr & y = \left[ {\matrix{ {0.5} & {0.5} \cr } } \right]x \cr} $$
D
$$\eqalign{ & \mathop x\limits^ \bullet = \left[ {\matrix{ { - 1} & 1 \cr { - 1} & 0 \cr } } \right]x + \left[ {\matrix{ 0 \cr 2 \cr } } \right]u \cr & y = \left[ {\matrix{ {0.5} & {0.5} \cr } } \right]x \cr} $$
2
GATE ECE 2010
MCQ (Single Correct Answer)
+1
-0.3
Assuming that all flip-flops are in reset condition initially, the count sequence observed at QA in the circuit shown is

GATE ECE 2010 Digital Circuits - Sequential Circuits Question 65 English
A
0010111...
B
0001011...
C
0101111...
D
0110100...
3
GATE ECE 2010
MCQ (Single Correct Answer)
+2
-0.6
The Boolean function realized by the logic circuit shown is GATE ECE 2010 Digital Circuits - Combinational Circuits Question 32 English
A
F=∑m(0,1,3,5,9,10,14)
B
F=∑m(2,3,5,7,8,12,13)
C
F=∑m(1,2,4,5,11,14,15)
D
F=∑m(2,3,5,7,8,9,12)
4
GATE ECE 2010
MCQ (Single Correct Answer)
+1
-0.3
Match the logic gates in column A with their equivalents in column B. GATE ECE 2010 Digital Circuits - Logic Gates Question 26 English
A
P-2, Q-4, R-1, S-3
B
P-4, Q-2, R-1, S-3
C
P-2, Q-4, R-3, S-1
D
P-4, Q-2, R-3, S-1