MCQOPTIONS

Explore topic-wise MCQs in Signals Systems.

This section includes 13 Mcqs, each offering curated multiple-choice questions to sharpen your Signals Systems knowledge and support exam preparation. Choose a topic below to get started.

1.	Given the z-transform pair\(X[n] \leftrightarrow \frac{32}{z^2-16}\), \|z\|
A.	\(\frac{z^{-3}}{(z^2-16)^2}\)
B.	\(\frac{z^7}{(z^2-16)^2}\)
C.	\(\frac{z^5}{(z^2-16)^2}\)
D.	\(\frac{z}{(z^2-16)^2}\)
Answer» E.

2.	Given the z-transform pair\(X[n] \leftrightarrow \frac{32}{z^2-16}\), \|z\|
A.	\(\frac{z^2}{16z^2-257z^4-16}\)
B.	\(\frac{-16z^2}{(z^2-16)^2}\)
C.	\(\frac{z^2}{(257z^2-16z^4-16)}\)
D.	\(\frac{16z^2}{(z^2-16)^2}\)
Answer» D. \(\frac{16z^2}{(z^2-16)^2}\)

3.	Given the z-transform pair\(X[n] \leftrightarrow \frac{32}{z^2-16}\), \|z\|
A.	\(\frac{(z+2)^2}{(z+2)^2-16}\)
B.	\(\frac{z^2}{z^2-4}\)
C.	\(\frac{(z-2)^2}{(z-2)^2-16}\)
D.	\(\frac{z^2}{z^2-64}\)
Answer» C. \(\frac{(z-2)^2}{(z-2)^2-16}\)

4.	Given the z-transform pair\(X[n] \leftrightarrow \frac{32}{z^2-16}\), \|z\|
A.	\(\frac{z^4}{z^2-16}\)
B.	\(\frac{(z+2)^2}{(z+2)^2-16}\)
C.	\(\frac{1}{z^2-16}\)
D.	\(\frac{(z-2)^2}{(z-2)^2-16}\)
Answer» D. \(\frac{(z-2)^2}{(z-2)^2-16}\)

5.	The z-transform of x[n]= {1,0,-1,0,1,-1} (1st 1 as the reference variable) is __________
A.	1+2z-2 -4 z-4 + 5z-5
B.	1-z-2 + z-4 – z-5
C.	1-2z2 + 4z4 – 5z5
D.	1-z2 + z4 – z5
E.	is __________a) 1+2z-2 -4 z-4 + 5z-5b) 1-z-2 + z-4 – z-5c) 1-2z2 + 4z4 – 5z5d) 1-z2 + z4 – z5
Answer» C. 1-2z2 + 4z4 – 5z5

6.	The z-transform of x[n]= {2,4,5,7,0,1} (5 as the reference variable) is ___________
A.	2z2 + 4z + 5 +7z + z3, z≠∞
B.	2z-2 + 4z-1 + 5 + 7z + z3, z≠∞
C.	2z-2 + 4z-1 + 5 + 7z + z3, 0<\|z\|<∞
D.	2z2 + 4z + 5 + 7z-1 + z3, 0<\|z\|<∞
E.	is ___________a) 2z2 + 4z + 5 +7z + z3, z≠∞b) 2z-2 + 4z-1 + 5 + 7z + z3, z≠∞c) 2z-2 + 4z-1 + 5 + 7z + z3, 0<\|z\|<∞d) 2z2 + 4z + 5 + 7z-1 + z3, 0<\|z\|<∞
Answer» E. is ___________a) 2z2 + 4z + 5 +7z + z3, z≠∞b) 2z-2 + 4z-1 + 5 + 7z + z3, z≠∞c) 2z-2 + 4z-1 + 5 + 7z + z3, 0<\|z\|<∞d) 2z2 + 4z + 5 + 7z-1 + z3, 0<\|z\|<∞

7.	The z-transform of {3,0,0,0,0,6,1,-4} (1 as the reference variable) is ___________
A.	3z5 + 6 + z-1 – 4z-2, 0≤\|z\|<∞
B.	3z5 + 6 + z-1 – 4z-2, 0<\|z\|<∞
C.	3z5 + 6 + z – 4z-2 0<\|z\|<∞
D.	3z5 + 6 + z-1 – 4z-2, 0≤\|z\|<∞
E.	is ___________a) 3z5 + 6 + z-1 – 4z-2, 0≤\|z\|<∞b) 3z5 + 6 + z-1 – 4z-2, 0<\|z\|<∞c) 3z5 + 6 + z – 4z-2 0<\|z\|<∞d) 3z5 + 6 + z-1 – 4z-2, 0≤\|z\|<∞
Answer» C. 3z5 + 6 + z – 4z-2 0<\|z\|<∞

8.	The z-transform of \((\frac{2}{3})^{[n]}\) is ____________
A.	\(\frac{-5z}{(2z-3)(3z-2)}\), –\(\frac{3}{2} \) < z < –\(\frac{2}{3}\)
B.	\(\frac{-5z}{(2z-3)(3z-2)}\), \(\frac{2}{3}\) < \|z\| < \(\frac{3}{2} \)
C.	\(\frac{5z}{(2z-3)(3z-2)}\), \(\frac{2}{3}\) < \|z\|
D.	\(\frac{5z}{(2z-3)(3z-2)}\), –\(\frac{3}{2} \) < z< –\(\frac{2}{3}\)
Answer» C. \(\frac{5z}{(2z-3)(3z-2)}\), \(\frac{2}{3}\) < \|z\|

9.	The z-transform of \((\frac{1}{4})^4\) u[-n] is ___________
A.	\(\frac{4z}{4z-1}\), \|Z\|>\(\frac{1}{4}\)
B.	\(\frac{4z}{4z-1}\), \|Z\|<\(\frac{1}{4}\)
C.	\(\frac{1}{1-4z}\), \|Z\|>\(\frac{1}{4}\)
D.	\(\frac{1}{1-4z}\), \|Z\|<\(\frac{1}{4}\)
Answer» E.

10.	The z-transform of \((\frac{1}{4})^n\) (u[n] – u[n-5]) is __________
A.	\(\frac{z^5 – 0.25^5}{z^4 (z-0.25)}\), z>0.25
B.	\(\frac{z^5 – 0.25^5}{z^4 (z-0.25)}\), z>0
C.	\(\frac{z^5 – 0.25^5}{z^3 (z-0.25)}\), z<0.25
D.	\(\frac{z^5 – 0.25^5}{z^4 (z-0.25)}\), all z
Answer» E.

11.	The z-transform of u[n] is _________
A.	\(\frac{1}{1-z^{-1}}\), \|Z\|>1
B.	\(\frac{1}{1-z^{-1}}\), \|Z\|<1
C.	\(\frac{z}{1-z^{-1}}\), \|Z\|<1
D.	\(\frac{z}{1-z^{-1}}\), \|Z\|>1
Answer» B. \(\frac{1}{1-z^{-1}}\), \|Z\|<1

12.	The z-transform of δ[n+k]>0 is __________
A.	Z-k, Z≠0
B.	Zk, Z≠0
C.	Z-k, all Z
D.	Zk, all Z
Answer» E.

13.	The z-transform of δ[n-k]>0 is __________
A.	Zk, Z>0
B.	Z-k, Z>0
C.	Zk, Z≠0
D.	Z-k, Z≠0
Answer» E.