List of practice Questions

Calculate the variance of the data set: 1, 2, 3, 5, 8, 13, 17.
Sugar and Salt solutions are:
The dispersed phase in a colloidal solution is:
Blood is an example of:
Soda water is a solution of:
Nitrogen in soil is an example for:
Milk is a:
The particle size of the solute in true solution is:
Chalk powder in water is an example of:
A solution which has more of solute, at a given temperature than that of saturated solution is called a:
The particle size in a suspension is:
The particle size in a colloidal solution is:
Tyndall effect is produced by:
Tyndall effect is exhibited by:
A true solution does not show Tyndall effect, because of the:
The solvent used to prepare aqueous solutions is:
Solutions are classified into aqueous and non-aqueous solutions, based on:

Match the following:
 


The correct answer is:
 

Evaluate the integral: \[ \int e^{-2x} \left( \tan 2x - 2\sec^2 2x \tan 2x \right) dx. \]
If \( Z_1, Z_2, Z_3 \) are three complex numbers with unit modulus such that \[ |Z_1 - Z_2|^2 + |Z_1 - Z_3|^2 = 4 \] then \[ Z_1 Z_2 + \overline{Z_1} Z_2 + Z_1 Z_3 + \overline{Z_1} Z_3 = \]
If the ratio of the radii of nuclei \( \mathbf{^{52}X_A} \) and \( \mathbf{^{13}Al^{27}} \) is 5:3, then the number of neutrons in the nucleus \( X \) is:
Choose the correct answer from the options given below:

\[ \textbf{If } | \text{Adj} \ A | = x \text{ and } | \text{Adj} \ B | = y, \text{ then } \left( | \text{Adj}(AB) | \right)^{-1} \text{ is } \]

Let \( A = [a_{ij}] \) be a \( 3 \times 3 \) matrix with positive integers as its elements. The elements of \( A \) are such that the sum of all the elements of each row is equal to 6, and \( a_{22} = 2 \). 
 

The source of energy in the Sun is:
To generate energy, nuclear reactors use the principle of: