CBSE Class 12 Design Thinking and Innovation Question Paper 2026 PDF with Solutions - Available

1.

A circular coil of 100 turns and radius \( \left(\frac{10}{\sqrt{\pi}}\right) \, \text{cm}\) carrying current of \( 5.0 \, \text{A} \) is suspended vertically in a uniform horizontal magnetic field of \( 2.0 \, \text{T} \). The field makes an angle \( 30^\circ \) with the normal to the coil. Calculate:
the magnetic dipole moment of the coil, and
the magnitude of the counter torque that must be applied to prevent the coil from turning.

2.

Hari, Murari and Abhi were partners in a firm sharing profits and losses in the ratio of 8 : 7 : 4. Murari retired from the firm on 31st March, 2025. Hari and Abhi decided to share profits in the future in the ratio of 2 : 1. The gaining ratio of Hari and Abhi was:

• 1 : 2
  
• 8 : 7
  
• 2 : 1
  
• 7 : 4
  

3.

Which of the following is not related to positive attitude?

• It makes a person happier.
  
• It helps to build and maintain relationships.
  
• It decreases one's chances of success.
  
• It helps to make better decisions.
  

4.

Calculate emf of the following cell at 298 K: \[ \text{Cr(s)} \, | \, \text{Cr}^{3+} (aq) \, (0.1\, M) \; || \; \text{Fe}^{2+} (aq) \, (0.01\, M) \, | \, \text{Fe(s)} \] Given: \[ E^\circ_{\text{Cr}^{3+}/\text{Cr}} = -0.74 \, V, \quad E^\circ_{\text{Fe}^{2+}/\text{Fe}} = -0.44 \, V, \quad \log 10 = 1 \]

5.

In an economy, when __________ is insufficient to achieve the level of output corresponding to the full employment, the difference is termed a deflationary gap. 
 

• ex-ante Aggregate Demand
  
• ex-post Aggregate Demand
  
• ex-ante Aggregate Supply
  
• ex-post Aggregate Supply
  

6.

The rate for the following reaction is given by: \[ A + B \rightarrow C, \quad \text{Rate} = k[A][B]^2 \] How is the rate affected if we double the concentration of B?

7.

Rohan failed an important exam. Instead of accepting that he didn't prepare well, he insists that the teacher was biased and the exam was unfair. Which defence mechanism is Rohan using?

• Repression
  
• Projection
  
• Rationalization
  
• Denial
  

8.

From the following information obtained from the books of 'Ajanta Ltd.', calculate Cash from Operations: Net Profit for the year ended 31st March, 2025 after charging depreciation of ₹ 80,000 and after writing off goodwill ₹ 10,500 was ₹ 4,90,000. Additional Information:

9.

Arrange the following in the correct sequence of their evolution and select the correct option:
(i) Seaweed
(ii) Invertebrates
(iii) Jawless fish

• (i), (ii), (iii)
• (i), (iii), (ii)
• (ii), (iii), (i)
• (ii), (i), (iii)

10.

Arrange the following historical events in chronological order and choose the correct option: I. Champaran Satyagraha
II. Kheda Satyagraha
III. Jallianwala Bagh Incident
IV. Rowlatt Act
Options:

• I, II, III, IV
  
• I, II, IV, III
  
• II, III, I, IV
  
• II, IV, III, I
  

11.

In an economy, the currency held by the public, Net Demand Deposits with Commercial Banks and Net Time Deposits with Commercial Banks stand at ₹ 1,42,000 crore, ₹ 22,000 crore and ₹ 86,000 crore respectively. The value of Money Supply (M1) would be ₹ _______ crore.

• 2,50,000
  
• 86,000
  
• 1,64,000
  
• 1,42,000
  

12.

Which of the following is not the stage of active listening?

• Receiving
  
• Understanding
  
• Remembering
  
• Non responding

13.

The energy of an electron in an orbit in hydrogen atom is \( -3.4 \, \text{eV} \). Its angular momentum in the orbit will be:

• \( \dfrac{3h}{2\pi} \)
  
• \( \dfrac{2h}{\pi} \)
  
• \( \dfrac{h}{\pi} \)
  
• \( \dfrac{h}{2\pi} \)

14.

Which of the following is not a stage of active listening?

• Receiving
  
• Understanding
  
• Non-responding
  
• Evaluating
  

15.

There are two statements Assertion (A) and Reason (R):
Assertion (A): At the time of admission of a new partner in a partnership firm, the newly admitted partner brings an agreed amount of capital either in cash or in kind.
Reason (R): On admission, the new partner gets the right to acquire share in the assets and profits of the partnership firm.
Choose the correct option from the following:

• Both Assertion (A) and Reason (R) are correct and Reason (R) is the correct explanation of Assertion (A).
  
• Both Assertion (A) and Reason (R) are correct, but Reason (R) is not the correct explanation of Assertion (A).
  
• Assertion (A) is correct, but Reason (R) is incorrect.
  
• Assertion (A) is incorrect, but Reason (R) is correct.