List of practice Questions

Laplace transform of \( \frac{e^{-at} - e^{-bt}}{t} \) is:
The particular integral of \( (D^2 + 4)y = \cos 3x + \sin 2x \) is:
If \( X_1 = \begin{bmatrix} 1 \\ i \end{bmatrix} \), \( X_2 = \begin{bmatrix} i \\ 1 \end{bmatrix} \) are given vectors and \( A = \begin{bmatrix} \cos \theta & \sin \theta \\ -\sin \theta & \cos \theta \end{bmatrix} \).
If \( P = [X_1, X_2] \), then \( P^{-1} A P \) is:
The rank of the matrix \( A = \begin{bmatrix} 1 & 2 & 3 & 0 \\ 0 & -4 & -8 & 3 \\ 2 & 4 & 3 & 2 \\ 0 & -4 & -11 & 5 \end{bmatrix} \) is:
A star is a ball of Hydrogen and _____ .
.......... is a shallow body of water protected from a larger body of water (usually the ocean) by sandbars, barrier islands or coral reefs.
The line that Pakistan claims should be the actual demarcation between India and Pakistan is called ........ line.
What is the purpose of cVIGIL app?
What is RapidX?
Famous Hyderabadi qubani-ka-meeta is made from which fruit?
An avalanche is a type of which one of the following disasters?
During the Seventh Five Year Plan, a Scheme called _____ . was introduced from 1989 to solve the problem of unemployment in the rural sector.
Savitribai Phule established India’s first school for girls in the year _____ .
Who was appointed to discharge the functions of the Governor of Telangana, after the resignation of Tamilisai Soundararajan?
....... is a property of the moving body and is defined as the product of the mass and velocity of the body.
Who is known as 'the father of Artificial Intelligence'?
........ is a component of bones, teeth, DNA, and RNA.
World’s largest temple ‘corridor’ is situated at _____ .
Which country has conferred the Highest Civilian Award to Narendra Modi (Prime Minister of India), 2024?
Iodization of salt is a public health measure to prevent _____ .
In a queue, Bheemu is the last person while his friend Jaggu is the 7th from the front. If the person exactly between Bheemu and Jaggu is on a 23rd position from the front, what is the position of Bheemu in the queue?
‘X’ started walking towards the West, after traveling 5 km turned exactly to his right and walked 3 km. Then he decided to walk exactly to his left. On reaching 2 km, he heard a voice and walked back. Then he noticed his friend ‘Y’ was walking towards him from the right side. In which direction is ‘Y’ walking?
Rita went to the movies nine days ago. She goes to the movies only on Thursday. What day of the week is today?
For seventh consecutive year, which country is the happiest country in the world?

Find out the wrong number in the series given below:
 \[ 10, 14, 28, 32, 64, 68, 132 \]