List of top Questions asked in CBSE CLASS XII

Your school is planning to host the Annual Awards Function on Saturday, 9th April. On behalf of the Principal, draft a formal invitation card to be sent to the parents and other guests inviting them for the function. Mention a compelling highlight of the celebration along with other details.
Ram and Shyam were partners in a firm sharing profits and losses in the ratio of 5 : 3. Mohan was admitted as a new partner for \( \frac{1}{5} \)th share in the profits of the firm. Mohan brought ₹ 2,50,000 as his share of capital and ₹ 2,00,000 as his share of goodwill premium. The value of the firm’s goodwill was :
Two conductors A and B of the same material have their lengths in the ratio 1:2 and radii in the ratio 2:3. If they are connected in parallel across a battery, the ratio \( \frac{v_A}{v_B} \) of the drift velocities of electrons in them will be:

An amount of ₹ 10,000 is put into three investments at the rate of 10%, 12% and 15% per annum. The combined annual income of all three investments is ₹ 1,310, however, the combined annual income of the first and second investments is ₹ 190 short of the income from the third. Use matrix method and find the investment amount in each at the beginning of the year.

The probability that a student buys a colouring book is 0.7, and a box of colours is 0.2. The probability that she buys a colouring book, given that she buys a box of colours, is 0.3. Find:
(i) The probability that she buys both the colouring book and the box of colours.
(ii) The probability that she buys a box of colours given she buys the colouring book.
A fruit box contains 6 apples and 4 oranges. A person picks out a fruit three times with replacement. Find:
(i) The probability distribution of the number of oranges he draws.
(ii) The expectation of the number of oranges.

Prove that:
\( \tan^{-1}(\sqrt{x}) = \frac{1}{2} \cos^{-1}\left( \frac{1 - x}{1 + x} \right), \quad x \in [0, 1] \)

Find the value of λ, if the points A(−1,−1,2), B(2,8,λ), C(3,11,6) are collinear.
State a condition under which a bimolecular reaction is kinetically first-order reaction. Give an example. For which type of reactions, do order and molecularity have the same value?
List two reasons that make copper releasing IUDs as effective contraceptives.

A carpenter needs to make a wooden cuboidal box, closed from all sides, which has a square base and fixed volume. Since he is short of the paint required to paint the box on completion, he wants the surface area to be minimum.
On the basis of the above information, answer the following questions :
Find \( \frac{dS}{dx} \).

Alok, Sameer and Tushar were partners in a firm sharing profits and losses in the ratio of 4 : 3 : 2. With effect from 1st April, 2024, they decided to share future profits and losses in the ratio of 3 : 2 : 4. Their Balance Sheet as at 31st March, 2024 showed the following: (i) Advertisement Suspense Account \u20b9 90,000.
(ii) Credit Balance of \u20b9 2,70,000 in Profit and Loss Account.
Goodwill of the firm was valued at \u20b9 4,50,000 and revaluation of assets and liabilities resulted in a loss of \u20b9 1,80,000. Partners did not want to distribute the amount of Advertisement Suspense Account and the Profit and Loss Account. They also decided that revalued values of assets and liabilities were not to be recorded in the books. Pass a single adjustment entry to give effect to the above. Also show your workings clearly.

मालवा में ऋतु परिवर्तन के प्रभाव स्वरूप पहले कौन-से बदलाव होते थे ? वर्तमान में उसमें क्या अंतर आया है ? इस अंतर के कारणों की पड़ताल कीजिए ।

ग्रामीण परिवेश में जन्मे, पले-बढ़े व्यक्ति का आगे का जीवन भले ही शहर में बीते पर उसकी स्मृतियों का गाँव सदैव मोहक और आकर्षक बना रहता है । – ‘बिस्कोहर की माटी’ पाठ के आधार पर सोदाहरण लिखिए ।

झोंपड़ी जलने के बाद भी स्वयं पर नियंत्रण रखने वाला सूरदास कब और क्यों बिलख-बिलख कर रोने लगा ? इस घटना के माध्यम से मनुष्य के स्वभाव की किस विशेषता का पता चलता है ?

विकास की अंधी दौड़ का क्या दुष्परिणाम सामने आया ? ऐसी परिस्थिति में बदलाव के क्या उपाय हो सकते हैं ? ‘जहाँ कोई वापसी नहीं’ पाठ के आधार पर लिखिए।

‘गांधी, नेहरू और यास्सेर अराफात’ पाठ के आधार पर लिखिए कि गांधीजी ने रोगी बालक से कैसा बर्ताव किया । इससे उनके व्यक्तित्व की किस विशेषता का पता चलता है ?

‘उर्दू कानों में हम लोगों की बोली कुछ अनोखी लगती’ – पंक्ति के द्वारा लेखक रामचंद्र शुक्ल तत्कालीन भाषिक समाज की किस विशेषता पर टिप्पणी कर रहे थे ? हिंदी और उर्दू के संबंध पर आपकी क्या राय है ?

सोदाहरण स्पष्ट कीजिए कि ‘बनारस’ कविता, बनारस शहर के प्रति कवि के मोह की भी अभिव्यक्ति है।

विद्यापति की नायिका के दारुण दुख का क्या कारण है ? लोगों के प्रति उसका क्या भाव है ?

‘सरोज स्मृति’ कविता में कवि ‘स्वर्गीया प्रिया’ को क्यों और किस रूप में याद कर रहा है ?

‘बीट’ को स्पष्ट करते हुए उसकी विशेष तैयारियों के महत्त्व को समझाइए।

एक अच्छे फ़ीचर लेखन के लिए आवश्यक बिन्दुओं की चर्चा कीजिए।

जनसंचार के मुद्रित माध्यमों के लेखकों से समाचार लेखन में किन-किन बातों का विशेष ध्यान रखने की अपेक्षा होती है ?

पहले के मालवा और अब के मालवा में लेखक को क्या अंतर दिख रहा था ? इसके लिए उत्तरदायी तत्त्वों को पाठ के आधार पर स्पष्ट कीजिए।