# Properties of Systems – 1 MCQ’s

This set of Signals & Systems Multiple Choice Questions & Answers (MCQs) focuses on “Properties of Systems – 1″.

1. Does the following discrete system have the parameter of memory, y[n] = x[n-1] + x[n] ?
a) Yes
b) No

2. y[t]= ∫x[t],t ranges from 0 to t. Is the system a memoryless one?
a) Yes
b) No
c) Both memoryless and having memory
d) None of the Mentioned

3. Is the system y(t) = Rx(t), where R is a arbitrary constant, a memoryless system?
a) Yes
b) No

4. y(t) = sin(x(t-1)) : Comment on its memory aspects.
a) Having memory
b) Needn’t have memory
c) Memoryless system
d) Time invariant system

5. y(t) = x2(t). Is y(t) = sqrt(x(t)) the inverse of the first system?
a) Yes
b) No
c) Inverse doesn’t exist
d) Inverse exist

6. y(t) = x(t-2) + x(2-t). Comment on its causality:
a) Causal
b) Time variant
c) Non causal
d) All of the mentioned

7. Construct the inverse system of y(t) = 2x(t)
a) y(t) = 0.5x(t)
b) y(t) = 2x(t)
c) y(2t) = x(t)
d) y(t) = x(2t)

8. Comment on the causality of y[n] = x[-n].
a) Time invariant
b) Causal
c) Non causal
d) Time varying

9. Comment on the causality of y[n] = n*x[n].
a) Time invariant
b) Time varying
c) Non causal
d) Causal

10. Comment on the linearity of y[n] = n*x[n].
a) Linear
c) Not scalable
d) Non linear 5 Star
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