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WorksheetsS&S CIE-III: MCQ on Unit 5 and 6_ AY 2024-25 Term II
Total questions: 26
Worksheet time: 49mins
Name
Class
Date
1.
Email ID (Moderncoe Domain email-id)
4 lines
2.
Whatsapp Mobile Number
4 lines
3.
Student's Name (Surname First Name Middle Name : example - Salve Manoj Rajendra )
4 lines
4.
Class and Division
a)
SE B
b)
SE C
5.
Class Roll Number
4 lines
6.
Exam Seat Number
4 lines
7.
Q1. Laplace transform of x(t) = −e^(at) u(- t) is
a)
a. 1/((s-a)) ,Re(s)>a
b)
b. 1/((s+a) ) ,Re(s)>a
c)
c. 1/((s+a) ) ,Re(s)
d)
d. 1/((s-a) ) ,Re(s)
8.
Q2. Region of convergence of X(s) contain
a)
a. Zeros
b)
b. Poles
c)
c. No zeros
d)
d. No poles
9.
Q3. Evaluate initial and Final Value of X(s)= (2s+3)/(s^2+5s+6)
a)
a. x(0) = 2, x(∞) = 0
b)
b. x(0) = -3, x(∞) = 0
c)
c. x(0) = 0, x(∞) = 2
d)
d. x(0) = 2, x(∞) = -4
10.
Q4. Evaluate L.T. of x(t) = [e(at) cos5t u(t)]
a)
a. (s-a)/((s-a)^2+25)
b)
b. (s+a)/(s^2+5)
c)
c. (s-a)/(s^2-a^2+25)
d)
d. s/((s-a)^2+5)
11.
Q5. Find x(t) if X(s)=(s+1)/(s+2)(s+3) for the ROC Re(s) < -3
a)
a. [e^-2t – 2e^-3t] u(t)
b)
b. [e^-3t + e^2t] u(t)
c)
c. [e^2t – e^-3t] u(-t)
d)
d. [e^-2t – 2e^-3t] u(-t)
12.
Q6. The following table gives some functions and their Laplace transforms . Which of these is the correctly matched pair is ?
a)
a. 2 & 4
b)
b. 1 & 4
c)
c. 2 & 3
d)
d. 1 & 3
13.
Q7. The initial x(0+) & final x(∞) values of signal X(s) = (7s+10)/[s(s+2)] .........
a)
a. 5, 7
b)
b. 7, 5
c)
c. 7, 0
d)
d. 0, 7
14.
Q8. If there is a pole in right half of S plane then the system is
a)
a. Marginally stable
b)
b. Not Stable
c)
c. Stable with right sided impulse response
d)
d. Absolutely stable
15.
Q9. The Laplace transform of x(t) = δ( t + 1) is....
a)
a. 1
b)
b. e^s
c)
c. 1/s
d)
d. e^(-s)
16.
Q10. The Laplace transform of x(t) = t^4 u(t) is...
a)
a. 1/s^5
b)
b.1/s^4
c)
c. 4/s^5
d)
d. 24/s^5
17.
Q11. Events which can never occur together In probability theories then it is classified as?
a)
A. mutually exclusive events
b)
B. collectively exclusive events
c)
C. mutually exhaustive events
d)
D. None of these
18.
Q12. What will be the value of P(not E) if P(E) = 0.07?
a)
a. 0.90
b)
b. 0.07
c)
c. 0.93
d)
d. 0.72
19.
Q13. In a box, there are 8 orange, 7 white, and 6 blue balls. If a ball is picked up randomly, what is the probability that it is neither orange nor blue?
a)
a. 1/3
b)
b. 1/21
c)
c. 2/21
d)
d. 5/21
20.
Q14. When we throw two dice then what is the probability of getting a sum 9?
a)
A. 2/9
b)
B. 1/12
c)
C. 1/9
d)
D. 2/9
21.
Q15. For distribution Function F(X), F(−∞)=0 and F(∞)=?
a)
a. 0
b)
b. 1
c)
c. -1
d)
d. Infinity
22.
Q16. In a normal distribution E[(X−μ)^2] is....
a)
a. Mean Deviation
b)
b. Variance
c)
c. Standard Deviation
d)
d. Quantile Deviation
23.
Q17. If X is a random variable a and b are constants then E[aX+b] is
a)
a. E[aX]+E[b]
b)
b. E[aX]+b
c)
c. a E[X]+b
d)
d. None of these
24.
Q18. Standard normal distribution has which of the following properties?
a)
a. The mean is equal to the variance.
b)
b. The mean is equal to the standard deviation.
c)
c. The mean is equal to 0 and the variance is equal to 1.
d)
d. The mean and the variance both equal 1.
25.
Q19. If E(x) = 2 and E(z) = 4, then E(z – x) =?
a)
a. 2
b)
b. 6
c)
c. 0
d)
d. Insufficient data
26.
Q20. The formula of variance of uniform or rectangular distribution is given as...
a)
A. (b - a)² ⁄ 6
b)
B. (b - a)² ⁄ 12
c)
C. (b - a)³ ⁄ 8
d)
D. (b + a)² ⁄ 12
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