Exercise: Exam Question Papers

Questions for: Exam Question Papers

For the system with given characteristic equation
s5 + 4s4 + 8s3 + 8s2 + 7s + 4 = 0
The number of roots on left hand side, right hand side and imaginary axis are respectively.
A:
3, 2, 0
B:
4, 0, 1
C:
3, 0, 2
D:
4, 1, 0
Answer: D

Apply Routh Hurwitz criteria.

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Consider a system with the transfer function . Its damping ratio will be 0.5 when the value of k is :
A:
2/6
B:
3
C:
1/6
D:
6
Answer: C

ΞΎ = 0.5,

We take second term only

.

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(22)4 + (101)3 - (20)5 = (x)4 + (4)x+1 where x > 4. The value of x is
A:
6
B:
4
C:
12
D:
8
Answer: C

(22)4 + (10)10 - (10)10 = (22)4

Since x > 4, i.e. all the number systems with base greater than 4.

All these will contain symbol '4' which will have same value in all bases.

Converting 4 into base '4'

system (4)10 (10)4

Now (22)4 = (x)4 + (10)4

∴ (x)4 = (22)4 - (10)4 = (12)4

∴ x = 12.

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If X = 1 in the logic equation [X + Z { Y + (Z + X Y)}] { X + Z (X + Y)} = 1, then
A:
Y = Z
B:
Y = Z
C:
Z = 1
D:
Z = 0
Answer: D

[1 + z{y + z + y}][0 + z] = 1, z = 1, z = 0.

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The number of distinct Boolean expressions of 3 variables is
A:
8
B:
256
C:
64
D:
7
Answer: B

22n = 223 β‡’ 28 = 256.

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