List of practice Questions

“रविवार का दिन था। माँ रसोई में खाना बना रही थी तभी दरवाज़े पर दस्तक हुई।” — पंक्ति को आधार बनाकर लगभग 100 शब्दों में एक लघुकथा लिखिए। 
 

If in a certain code, LAWYER is written as JZDVBF, how is JUDGE written in that code?
If $A = \{x \in \mathbb{R} \mid \sin^{-1}(\sqrt{x^2+x+1}) \in [-\frac{\pi}{2}, \frac{\pi}{2}]\}$ and $B = \{y \in \mathbb{R} \mid y = \sin^{-1}(\sqrt{x^2+x+1}), x \in A\}$, then
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?
From the word ARRANGEMENT, how many distinct 9-letter words can be formed?
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?

लोगों तक अपनी बात पहुँचाने के माध्यमों में ‘डायरी का एक पन्ना’ पाठ में वर्णित तरीकों और वर्तमान तरीकों में क्या अंतर आया है? स्पष्ट कीजिए। 
 

Select the option that best completes the sentence: "Had I known about the meeting earlier, I ____ attended it."
Draw the structure of the major monohalo product for each of the following reactions:
methylbenzene
The value of \( \cos \left( \frac{\pi}{6} + \cot^{-1}(-\sqrt{3}) \right) \) is:
A block slides down a smooth inclined plane, and its acceleration is found to be \( \frac{g}{8} \). If \( g \) is the acceleration due to gravity, what is the angle of inclination \( \theta \) of the plane?
If the height of a projectile at a time of 2 s from the beginning of motion is 60 m, then the time of flight of the projectile is (Acceleration due to gravity = 10 m/s\(^2\))
Two cities X and Y are connected by a regular bus service with a bus leaving in either direction every T min. A girl is driving scooty with a speed of 60 km/h in the direction X to Y. She notices that a bus goes past her every 30 minutes in the direction of her motion, and every 10 minutes in the opposite direction. Choose the correct option for the period T of the bus service and the speed (assumed constant) of the buses.
Imagine you are a part of a 'Self Help Group' (SHG). Explain the working system of the Self Help Group (SHG) to the new member.
If \( p \) and \( q \) are respectively the order and degree of the differential equation \( \frac{d}{dx} \left( \frac{dy}{dx} \right)^3 = 0 \), then \( (p - q) \) is:
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 \( |\beta| + \frac{1}{|\alpha|} = \)
Draw the structure of the major monohalo product for each of the following reactions:
major monohalo product
If a line makes angles of \( \frac{3\pi}{4} \) and \( \frac{\pi}{3} \) with the positive directions of \( x \), \( y \), and \( z \)-axes respectively, then \( \theta \) is:
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 \[ ^1\mathrm{H}^2 + ^1\mathrm{H}^2 \rightarrow ^2\mathrm{He}^4 + Q \]