List of practice Questions

Find the order and degree of the following differential equation: \[ \frac{d^3 y}{dx^3} + \frac{d^2 y}{dx^2} + \frac{dy}{dx} + y = 0 \]
Given the following staff readings at two levels, determine the Reduced Level (RL) of B. 
staff readings at two levels
Given: - RL of A = 150 m - Find RL of B
Given the bearing N30°W, determine the corresponding Whole Circle Bearing (WCB). \
Whole Circle Bearing (WCB)
 Given: - Bearing = N30°W - Find WCB
Given the following data, determine the final water content \( W_2 \): 
final water content
 Given: - \( W_1 = 18\% \) - \( G_p = 2.74 \) - \( S_1 = 0.65 \) - \( S_2 = 0.852 \) - Find \( W_2 \)
Given the following data for a hydraulic jump, determine the power loss (in kW): 
data for a hydraulic jump
 Given: - \( B = 5 \, \text{m} \) - \( Q = 15 \, \text{m}^3/\text{sec} \) - \( y_1 = 0.5 \, \text{m} \) - \( g = 9.81 \, \text{m/s}^2 \) - \( \rho_w = 1000 \, \text{kg/m}^3 \) - \( \alpha = 1.0 \) - Find Power loss in kW
Find the next term in the sequence: 3, 9, 19, 33, _
Given the matrix: \[A = \begin{bmatrix} 2 & 3 & 4 & 5 \\ 0 & 6 & 7 & 8 \\ 0 & 0 & \alpha & \beta \\ 0 & 0 & 0 & \gamma \end{bmatrix}\]

 If rank(A) is at least 3, then what are the possible values of \( \alpha, \beta, \gamma \)?

Which of the following best describes the phase and sinusoidal components in the given control system plot?
If a complex function \( f(z) \) is analytic everywhere inside a closed contour \( C \) with anti-clockwise direction, then which of the following statements are correct?
Two fair dice are rolled, and the random variable \( X \) denotes the sum of the outcomes. What is the expected value of \( X \)?
Given that \( Z_0 = 50\Omega \), \( Z_L = (50 - j75)\Omega \), and \( P_i = 10 \) mW, find the power delivered to the load.
Given \( y(t) = f(\alpha t) \), analyze how Fourier coefficients and time period are affected.
What is the maximum frequency for Clk in MHz, given the flip-flop and logic gate delays?
Consider three Boolean variables \( x, y, z \). A majority function outputs 1 if the majority of its inputs are 1, otherwise, it outputs 0. Derive the Boolean expression for the majority function and simplify it using Boolean algebra.
What operation is performed by the given circuit?
Given the table facts: \[ \text{facts (D1, D2, val)} \] with the following data: 
SQL query
 Consider the following SQL query: 
SQL query
 What is the total number of rows produced?
Consider the following algorithm: 
algorithm
algorithm
 What will be the output (O/P) of this algorithm?
Consider the following graph with heuristic values: Which of the following represents the correct order of node expansion using the A* search algorithm?
Consider the following sets: \[ A = \{"this", "that"\}, \quad B = \{"that", "other"\}, \quad C = \{"other", "this"\} \] 
The following operations are performed:
 Which of the following sets remain non-empty at the end?
Consider the given graph and shortest paths: The shortest paths given are: \[ a - b - c - d, \quad e - f - g - h, \quad a - f - c - h \] Which of the following cannot be an edge in the original graph?
Consider the following database schema: \[ \text{Person (aadhar CHAR(12) PK, name VARCHAR(32))} \] \[ \text{Customer (name VARCHAR(32), email VARCHAR(32) PK, phone CHAR, aadhar CHAR(12) FK(aadhar))} \] Which of the following statements is/are correct?
Which of the following data structures supports binary search in \( O(\log n) \) time complexity?
Given the relation: \[ R = \{A, B, C, D, E, F, G\} \] With the following functional dependencies (FDs): \[ A \rightarrow BCEF, \quad E \rightarrow DG, \quad BC \rightarrow A \] Which of the following statements is correct?
Choose the most appropriate word to complete the analogy:
Courage : Bravery :: Yearning :
When does the worst case of binary search occur?