List of top Questions asked in CBSE CLASS XII- 2025

Anuj and Kartik were partners in a firm sharing profits and losses in the ratio of 5 : 4. Anuj withdrew ₹ 20,000 at the beginning of every month starting 1st April, 2023 to 31st March, 2024. Interest on drawings is charged @ 6% p.a. The interest on drawings will be:

Madhur and Neeraj were partners in a firm sharing profits and losses in the ratio of 3 : 2. The Balance Sheet as at 31st March, 2024 was as follows: Balance Sheet of Madhur and Neeraj as at 31^st March, 2024

Liabilities	Amount (₹)	Assets	Amount (₹)
Capitals:		Machinery	7,00,000
Madhur	9,00,000	Investments	4,00,000
Neeraj	8,00,000	Debtors	11,00,000
Creditors	6,00,000	Stock	2,00,000
Bills Payable	2,00,000	Cash at Bank	1,00,000
Total	25,00,000	Total	25,00,000

The firm was dissolved on the above date and the following transactions took place:

Machinery was taken over by creditors in full settlement of their account.
Investments were taken over by Neeraj at \u20b9 5,00,000.
One of the debtors of \u20b9 1,00,000 was untraceable. Remaining debtors were realised at 10% less.
Stock was taken over by Madhur at 50% discount.
Realisation expenses amounting to \u20b9 1,00,000 were paid by Madhur.
Prepare Realisation Account.

If $f(x) = \begin{cases} 3x - 2, & 0 \leq x \leq 1\\ 2x^2 + ax, & 1<x<2 \end{cases}$ is continuous for $x \in (0, 2)$, then $a$ is equal to :

“Saksham owns a manufacturing facility where microchips are utilized in the production of electronic devices, including computers and smartphones.”
From the above text, identify whether the given statement refers to an intermediate goods or final goods. Give valid reason in support of your answer.

Draft an invitation card on behalf of the Principal of J.B. Bhatia Public School for the launch of ‘Yoga for Life’ programme in the school. Mention a compelling highlight of the programme along with other necessary details.

Radhika Ltd. invited applications for issuing 40,000 equity shares of ₹ 100 each at a premium of ₹ 50 per share. The amount was payable as follows:
On Application and Allotment – ₹ 40 per share (including ₹ 10 premium)
On First call – ₹ 45 per share (including ₹ 5 premium)
On Second and final call – Balance
Applications for 39,000 shares were received. Allotment was made in full to all the applicants. Dinu, to whom 100 shares were allotted, failed to pay the first call money. His shares were immediately forfeited. The forfeited shares were re-issued thereafter at ₹ 70 per share fully paid up. The second and final call was not yet made. Pass necessary journal entries for the above transactions in the books of Radhika Ltd.

Differentiate \( y = \sqrt{\log \sin \left( \frac{x^3}{3} - 1 \right)} \) with respect to \( x \).

‘Students on Ice Programme’ proves Geoff Green’s farsightedness. Explain with reference to the text of ‘The Journey to the End of the Earth’. (The Journey to the End of the Earth)

Show that the function $f: \mathbb{N} \to \mathbb{N}$, where $\mathbb{N}$ is the set of natural numbers, given by \[ f(n) = \begin{cases} n - 1, & \text{if } n \text{ is even} \\ n + 1, & \text{if } n \text{ is odd} \end{cases} \] is a bijection.

In the circuit, three ideal cells of e.m.f. \( V \), \( V \), and \( 2V \) are connected to a resistor of resistance \( R \), a capacitor of capacitance \( C \), and another resistor of resistance \( 2R \) as shown in the figure. In the steady state, find (i) the potential difference between P and Q, (ii) the potential difference across capacitor C.

An aqueous solution of NaOH was made and its molar mass from the measurement of osmotic pressure at 27°C was found to be 25 g mol$^{-1$.}
Calculate the percentage dissociation of NaOH in this solution.

When the switch of the circuit is turned on, the filament of the bulb glows instantaneously because:

The ratio of potential difference across AB in the circuit shown for the case (i) when switch S is closed and (ii) when S is open is:

In the circuit shown, the charge on the left plate of the 20 µF capacitor is \( -50\,\mu C \). The charge on the right plate of the 12 µF capacitor is:

Two wires of the same material and the same radius have their lengths in the ratio 2:3. They are connected in parallel to a battery which supplies a current of 15 A. Find the current through the wires.

Give explanation for each of the following observations:

(a) With the same d-orbital configuration (d⁴), Mn³⁺ ion is an oxidizing agent whereas Cr²⁺ ion is a reducing agent.

(b) Actinoid contraction is greater from element to element than that among lanthanoids.

(c) Transition metals form a large number of interstitial compounds with H, B, C, and N.

A current flows through a cylindrical conductor of radius \( R \). The current density at a point in the conductor is \( j = \alpha r \) (along its axis), where \( \alpha \) is a constant and \( r \) is the distance from the axis of the conductor. The current flowing through the portion of the conductor from \( r = 0 \) to \( r = \frac{R}{2} \) is proportional to: