1
GATE ECE 2017 Set 1
MCQ (Single Correct Answer)
+1
-0.3
Consider a single input single output discrete-time system with $$h\left[ n \right]\,$$ as input and $$y\left[ n \right]\,$$ as output, where the two are related as
$$y\left[ n \right]\, = \left\{ {\matrix{ {n\left| {x\left[ n \right]} \right|,} & {for\,\,0 \le n \le 10} \cr {x\left[ n \right] - x\left[ {n - 1} \right],} & {otherwise,} \cr } } \right.$$

Which one of the following statements is true about the system?

A
It is causal and stable
B
It is causal but not stable
C
It is not causal but stable
D
It is neither causal nor stable
2
GATE ECE 2017 Set 1
MCQ (Single Correct Answer)
+1
-0.3
40% of deaths on city roads may be attributed to drunken driving. The number of degrees needed to represent this as a slice of a pie chart is
A
120
B
144
C
160
D
212
3
GATE ECE 2017 Set 1
MCQ (Single Correct Answer)
+1
-0.3
In the summer, water consumption is known to decrease overall by 25%. A water Board official states that in the summer household consumption decreases by 20%, while other consumption increases by 70%.

Which of the following statement is correct?

A
The ratio of household to other consumption is 8/17
B
The ratio of household to other consumption is 1/17
C
The ratio of household to other consumption is 17/8
D
There are errors in the official's statement
4
GATE ECE 2017 Set 1
MCQ (Single Correct Answer)
+1
-0.3
Some tables are shelves. Some shelves are chairs. All chairs are benches. Which of the following conclusions can be deduced from the preceding sentences?

(i) At least one bench is a table
(ii) At least one shelf is a bench
(iii) At least one chair is a table
(iv) All benches are chairs

A
Only (i)
B
Only (ii)
C
Only (ii) and (iii)
D
Only (iv)
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