List of practice Questions

A projectile of mass 200 g is launched in a viscous medium at an angle $60^\circ$ with the horizontal, with an initial velocity of 270 m/s. It experiences a viscous drag force $\vec{F} = -c \vec{v}$ where the drag coefficient $c = 0.1 \, \text{kg/s}$ and $\vec{v}$ is the instantaneous velocity of the projectile. The projectile hits a vertical wall after 2 s. Taking $e = 2.7$, the horizontal distance of the wall from the point of projection (in m) is ____
Which of the following historical events directly led to the adoption of the Constitution of India?
Median of \( x, 20x, \frac{x}{20}, 200x, \frac{x}{200} \) (where \( x>0 \)) is 20, then the value of \( x \) is:
The solution of system of equations \( \frac{x}{2025} + \frac{y}{2026} = 2 \) and \( \frac{2x}{2025} - \frac{y}{2026} = 1 \) is:

Suppose that 2 is an eigenvalue of the matrix 

Then the value of \( \alpha \) is equal to (Answer in integer):

If in a certain code, LAWYER is written as JZDVBF, how is JUDGE written in that code?
A system uses a two-level paging scheme. If the logical address space is 32 bits, the page size is 4 KB, and the outer page table has 1024 entries, how many bits are used for the outer page number?
How many binary trees can be formed with 4 distinct nodes?
Which of the following is true for a natural join between two relations \( R(A, B) \) and \( S(B, C) \)?

Which of the following is not a characteristic of Object-Oriented Programming?

Six students scored different marks in an exam. A scored more than B but less than C. D scored more than E but less than B. F scored more than A but less than C. Who scored the third highest?
Which traversal of a binary tree gives the nodes in non-decreasing order if the tree is a Binary Search Tree?
In a paging system, the page table is stored in memory. If memory access time is 100 ns, what is the effective access time if one page table lookup is needed per access?
Two blocks of masses 8 kg and 12 kg kept on a smooth horizontal table are connected to the ends of a light string as shown in the figure. If a horizontal force of 500 N is applied to the block of mass 12 kg, then the tension in the string connecting the blocks is
Two blocks of masses 8 kg and 12 kg
If the normal drawn to the hyperbola \( xy = 16 \) at (8, 2) meets the hyperbola again at a point \((\alpha, \beta)\), then \( |\beta| + \frac{1}{|\alpha|} = \)
If the binding energy per nucleon of deuteron (\( ^1\mathrm{H}^2 \)) is 1.15 MeV and an \(\alpha\)-particle has a binding energy of 7.1 MeV per nucleon, then the energy released per nucleon in the given reaction is \[ ^1\mathrm{H}^2 + ^1\mathrm{H}^2 \rightarrow ^2\mathrm{He}^4 + Q \]
In a simply supported beam with a uniform load, the shear force is maximum at:

Who was the first President of India? 
 

Which company became the first in 2025 to achieve a market value of $4 trillion? 
 

Which country became the first to officially ban the use of cash transactions for goods and services exceeding $500 in 2025? 
 

Which of the following countries signed a landmark agreement in 2025 to reduce plastic waste by 50% within the next decade?
In 2025, which country successfully launched the first "green" hydrogen-powered passenger train?
Which case in Indian law is associated with the principle of "Judicial Review"?
Which of the following acts is related to the regulation of money laundering in India?
Under which Article of the Indian Constitution is the provision of the President's Rule in a state laid down?