List of top Questions asked in Maharashtra Class XII- 2024

Draft an E-mail to the manager of a company to request him/her to give you an opportunity as an apprentice to serve you as an experience for your career development.

If the mean and variance of a binomial distribution are \( 18 \) and \( 12 \) respectively, then the value of \( n \) is __________.

In \( \triangle ABC \), if \( a = 18 \), \( b = 24 \), and \( c = 30 \), then find the value of \[ \sin \left(\frac{A}{2} \right). \]

Predict the type of cubic lattice of a solid element having edge length of 400 pm and density of 6.25 g/ml. 
(Atomic mass of element = 60)

Staying in comfort at home gives one more happiness than travelling.
 

Match the persons given in column 'A' with opinions/characteristics given in column 'B' 



 

Review: 
You have recently read a famous book/magazine. Write a Review on the same with the help of the following points: 
- title, front page, back page 
- language, features, contents 
- Pictures, quality, presentation 
- Values, vision and variety 
 

A box with a square base is to have an open top. The surface area of the box is 147 cm\(^2\). What should its dimensions be in order that the volume is largest?
If \( x = f(t) \) and \( y = g(t) \) are differentiable functions of \( t \), so that \( y \) is a function of \( x \) and \( \frac{dx}{dt} \neq 0 \), then prove that: \[ \frac{dy}{dx} = \frac{\frac{dy}{dt}}{\frac{dx}{dt}}. \] Hence find \( \frac{dy}{dx} \), if \( x = at^2 \), \( y = 2at \).

Solve the following L.P.P. by graphical method: 
Maximize: 
\[ z = 10x + 25y. \] Subject to: \[ 0 \leq x \leq 3, \quad 0 \leq y \leq 3, \quad x + y \leq 5. \]

Find the volume of the parallelepiped whose vertices are
\( A(3,2,-1), B(-2,2,-3), C(3,5,-2) \) and \( D(-2,5,4) \).

I would come back to my apartment in New York. 
(Choose the correct option using ‘used to’ for the given sentence and rewrite.) 
 

I like to ask questions of the places I visit. 
(Choose the correct tense form of the above sentence from the following options and rewrite.) 

Select and write the two statements from the given list which justify the theme of the poem.

Choose two correct alternatives which define the theme of the extract:

The most interesting part of the extract 'Around the World in Eighty Days' is its climax. Discuss.
Consider 'student-teacher relationship' as one of the themes of "To Sir With Love."
Write a character-sketch of the narrator E.R. Braithwaite in "To Sir With Love."

The novel based on an imaginary community possessing the ideal qualities is called _________ novel.
[ Utopian/Epistolary /Picaresque ]

________novel is a novel based on the author’s life. 
[Epistolary / Psychological / Autobiographical]
 

________novel is concerned with the protagonist’s overall growth from childhood to adulthood. 
[Bildungsroman / Utopian / Gothic]
 

The novel that bears more than one level of meaning is called ________novel. 
[Realistic / Allegorical / Historical]
 

Match the columns: 


 

Expand the following idea with the help of the points given below (100 to 150 words):
'Manners Maketh Man'
Essential Virtues 
- Politeness 
- Speech, tone, gestures, and action 
- To be courteous and amiable 
 

Imagine you are given the responsibility to 'compe' a programme by your college authorities. You need to prepare your script on the programme titled 'Cultural Fest 2024.' Draft the script to decide the flow of the programme. You may take help of the given points.