List of practice Questions

An agent is paid a 5% commission on all sales and an additional 2% del-credere commission on credit sales. If he sells goods worth ₹50,000 (of which ₹20,000 are credit sales), calculate his total earning.
Find the value of \(n\) if \[ {}^{n}P_{4} = 12 \times {}^{n}P_{2}. \]
Discuss the different viewpoints regarding the rights of minorities in the Constituent Assembly.
Analyze the contribution of Baba Guru Nanak to the religious and social landscape of India.
Show that the relation \(R\) in the set \(A = \{1,2,3,4,5\}\) given by \[ R=\{(a,b): |a-b| \text{ is even}\} \] is an equivalence relation.
If \[ A=\begin{bmatrix}2 & 3\\ 1 & -4\end{bmatrix} \quad \text{and} \quad B=\begin{bmatrix}1 & -2\\ -1 & 3\end{bmatrix}, \] verify that \( (AB)^{-1} = B^{-1}A^{-1} \).
Solve the following system of equations using the matrix method: \[ 2x+3y+3z=5,\qquad x-2y+z=-4,\qquad 3x-y-2z=3. \]
Describe the important features of rice cultivation in India.
Explain the distinctive features of the Harappan drainage system.
Analyze the factors that contributed to the rise of Magadha as the most powerful Mahajanapada.
Discuss the role of the Alvars and Nayanars in the early Bhakti movement.
Describe the administrative and military features of the Amaranayak system in the Vijayanagar Empire.
Examine why the Sanchi Stupa survived while the Amaravati Stupa did not.
Discuss the social and economic status of the Jotedars in 18th-century Bengal.
Explain why Mahatma Gandhi launched the Salt Satyagraha as a symbol of protest.
What are Minerals? Define them. What are the various metallic and non-metallic minerals found in J & K?
Handicraft and Handloom Industry in J & K and Reasons of its Slow Growth?
Impact of Indian Revolutionary movement on Jammu & Kashmir.
How can employment potential in Jammu and Kashmir be increased?
Define minerals. What are the major metallic and non-metallic minerals found in Jammu and Kashmir?
What steps can be taken to control soil erosion in hilly areas?
What is the main problem in the present industrialization of India?
Which of the following is NOT a Kharif crop?
When was the first Jute Mill established in India?
Which transportation mode reduces trans-shipment losses and delays?