List of practice Questions

The variance of the first 50 even natural numbers is:
The variance of the following probability distribution is:

\[ \begin{array}{|c|c|} \hline x & P(X) \\ \hline 0 & \frac{9}{16} \\ 1 & \frac{3}{8} \\ 2 & \frac{1}{16} \\ \hline \end{array} \]
The negative of \( (p \land (\sim q)) \lor (\sim p) \) is equivalent to:
The converse of \( ((\sim p) \land q) \Rightarrow r \) is:

What is the IUPAC name of the given haloarene? 

What is the preliminary test for nanoparticles?
What is the edge length of a BCC unit cell?
The most suitable reagent for the conversion of \( \text{R-CH}_2\text{-OH} \) to \( \text{R-CHO} \) is:
How many unit particles are present in a BCC (Body-Centered Cubic) unit cell?
The relationship between solubility of a gas in a liquid at constant temperature and external pressure is:
What is the concentration of \( \text{H}^+ \) ions if the pH is 2.7?
Calculate the pH of the solution using the Henderson-Hasselbalch equation.
Which element shows the lower oxidation state in the 3d series?
Which of the following is Clemmensen reduction?
If \( A = \begin{bmatrix} 0 & 1 & 2 \\ 1 & 2 & 3 \\ 3 & 1 & 1 \end{bmatrix} \), then \( A^{-1} \) is:

IUPAC name of the given ether is:

If \[ B = \begin{bmatrix} 3 & \alpha & -1 \\ 1 & 3 & 1 \\ -1 & 1 & 3 \end{bmatrix} \] is the adjoint of a 3x3 matrix \( A \) and \( |A| = 4 \), then \( \alpha \) is equal to:
What is the pH of a 0.01 M hydrochloric acid (HCl) solution?
Which of the following techniques is most suitable for determining the size and morphology of nanoparticles?
Butter is an example of which type of colloid?
In a series LCR circuit connected to an AC source, at resonance, the current is maximum because:
In Young's double slit experiment, if the distance between the slits is doubled while keeping the wavelength and the distance to the screen constant, the fringe spacing will:
What is the equivalent logic gate when the output of an AND gate is passed through a NOT gate?
The inverse of the matrix \[ \begin{bmatrix} 1 & 0 & 0 \\ 3 & 3 & 3 \\ 5 & 2 & -1 \end{bmatrix} \] is:
If \( p \land q \) is False and \( p \rightarrow q \) is False, then the truth values of \( p \) and \( q \) are: