List of practice Questions

The area between the parabolas \( y^2 = 4 - x \) and \( y^2 = x \) is given by:
The solution of the given ordinary differential equation \( x \frac{d^2 y}{dx^2} + \frac{dy}{dx} = 0 \) is:
The shortest and longest distance from the point \( (1,2,-1) \) to the sphere \( x^2 + y^2 + z^2 = 24 \) is:
Let \[ M = \begin{bmatrix} 1 & 1 & 1 \\ 0 & 1 & 1 \\ 0 & 0 & 1 \end{bmatrix} \] The maximum number of linearly independent eigenvectors of \( M \) is:
If the system of equations: \[ 3x + 2y + z = 0, \quad x + 4y + z = 0, \quad 2x + y + 4z = 0 \] is given, then:
If \( A \) is a \( 3 \times 3 \) matrix and the determinant of \( A \) is 6, then find the value of the determinant of the matrix \( (2A)^{-1} \):
What is the near field length \(N\) that can be calculated from the relation (if \(D\) is the diameter of the transducer and \(\lambda\) is the wavelength of sound in the material)?
In a new temperature scale say \( ^oP \), the boiling and freezing points of water at one atmosphere are \( 100^o P \) and \( 300^o P \) respectively. Correlate this scale with the Centigrade scale. The reading of \( 0^o P \) on the Centigrade scale is:
The velocity of a particle is given by \( V = 4t^3 - 5t^2 \). When does the acceleration of the particle become zero?
For a Binomial distribution with mean 4 and variance 2, the value of \( n \) is:
The value of the integral \[ \iiint\limits_{0}^{a, b, c} e^{x+y+z} \, dz \, dy \, dx \] is:
If \( \nabla \phi = 2xy^2 \hat{i} + x^2z^2 \hat{j} + 3x^2y^2z^2 \hat{k} \), then \( \phi(x,y,z) \) is:
The value of \( m \) so that \( 2x - x^2 + m y^2 \) may be harmonic is:
The value of \( \oint_C \frac{1}{z} dz \), where \( C \) is the circle \( z = e^{i\theta}, 0 \leq \theta \leq \pi \), is:
The complete integral of the partial differential equation \( pz^2 \sin^2 x + qz^2 \cos^2 y = 1 \) is:
List the points of nomenclature used in Excel for charts/graphs.
To safeguard assets and optimize the use of resources a business .......
“A value or function or an arithmetic expression is recorded in ........”
Depreciation is generated from which of the following Accounting information system?
Which chart has depth axis?
Which of the following is not a tool of Analysis of Financial Statements?
Total Assets: rupee 3,00,000
Non-current Assets: rupee 2,60,000
Non-current Liabilities: rupee 80,000
Shareholders' Funds: rupee 2,00,000
Current ratio calculated on the basis of the above information will be:
If all the forfeited shares are reissued, the balance, if any, left in the Forfeited Shares Account is transferred to:
Assertion (A): In a partnership firm, the private assets of the partners can also be used to pay off the firm’s debts.
Reason (R): The liability of the partners for acts of the firm is limited.
Choose the correct option from the following:
Kriti, Hina, and Nidhi were partners sharing profits in the ratio of 3 : 2 : 1. Nidhi retired. On the date of her retirement, Workmen Compensation Fund stood in the Balance Sheet at rupee 1,50,000. Workmen Compensation Claim was rupee 1,20,000. How much amount of Workmen Compensation Fund will be credited to Nidhi’s Capital Account?