List of practice Questions

An item which is produced mainly by natural process is the activity of which sector?
From which of the following, the Golden Quadrilateral is associated with?
In which year, one thousand currency note was announced as invalid in India?
Human Development Report is published by which of the following body?
In which year 'Project Tiger' was started?
Which of the following state is NOT associated with Sardar Sarovar Project?
In which city the first International Earth Summit in June, 1992 was held?
Which soil is formed due to leaching by heavy rainfall?
How many national political parties are there in India?
To whom is communalism harmful?
Where is NOT federal government in the following countries?
System of democratic government is better than other systems because this ............
In which state of India did printing press start first of all in 16\textsuperscript{th century?}
How many languages are mentioned in the Constitution besides Hindi?
Where was Bretton Woods Institution organized?
What was the first and main cause of the suspension of the Non Co-operation Movement?
The first main cause of economic depression was –
What is the number of Earth satellites?
If \(A = \begin{bmatrix} 3 & 1 \\ -1 & 2 \end{bmatrix}\), then show that \(A^2 - 5A + 7I = O\). Using this, obtain \(A^{-1}\).
If \( y = \sin^{-1} x \), then prove that \( (1 - x^2) \frac{d^2y}{dx^2} - x \frac{dy}{dx} = 0 \).
If \(A = \begin{bmatrix} 1 & 3 & 3 \\ 1 & 4 & 3 \\ 1 & 3 & 4 \end{bmatrix}\), then find \(A^{-1}\).
Solve: \( (1 + x^2)\frac{dy}{dx} + 2xy - 4x^2 = 0 \).
Prove that \(\int_0^\pi \sqrt{\frac{1+\cos 2x}{2}} \, dx = 2\).
At \( t = 2 \), the slope of the vector function \( \vec{f}(t) = 2\hat{i} + 3\hat{j} + 5t^2\hat{k} \) is
If the relation \( R \) is given by \[ R = \{(4, 5), (1, 4), (4, 6), (7, 6), (3, 7)\}, \] then find \( R^{-1} \circ R^{-1} \).