List of practice Questions

The value of $\begin{vmatrix} \log_5\,729 & \log_3\,5 \\[0.3em] \log_5\,27 & \log_9\,25 \end{vmatrix}.\begin{vmatrix} \log_3\,5 & \log_{27}\,5 \\[0.3em] \log_5\,9 & \log_5\,9 \end{vmatrix}=$

Which of the following is a soap?

Which of the following gives $RNC$ when treated with $CHCl_{3}$ and $KOH$?

$x \in R : \frac{2x -1}{x^3 + 4x^2 + 3x} \in R$ Equals

Hinsberg reagent, $C_{6}H_{5}SO_{2}Cl$ does not react with

Correct order of freezing point of $ 1\,M $ solution of sucrose, $ KCl,\,BaCl_{2}$ and $ AlCl_{3}$ is

The condensation polymer among the following is

$5$ moles of $SO_2$ and $5$ moles of $O_2$ are allowed to react. At equilibrium, it was found that $60\% $ of $SO_2$ is used up. If the partial pressure of the equilibrium mixture is one atmosphere, the partial pressure of $O_2$, is

Which of the following is properly matched ?

The greatest threat to genetic diversity in agricultural crops is

Compare the statements A and B Statement A : Ranikhet disease is the disease of poultry. Statement B : It is caused by a virus. Select the correct description.

A cricket ball of mass $0.5\, kg$ strikes a cricket bat normally with a velocity of $20\, ms ^{-1}$ and rebounds with velocity of $10\, ms ^{-1}$. The impulse of the force exerted by the ball on the bat is

The velocity of an electromagnetic wave in vacuum can be changed by changing

When a wave undergoes refraction

Which one of the following is strongest Lewis acid ?

The resistance of an ideal voltmeter is

If the sum to $2n$ terms of the $ A.P. \text{ }2,\text{ }5,\text{ }8,11,... $ is equal to the sum to $n$ terms of the $\text{ }57,\text{ }59,\text{ }61,\text{ }63,\text{ }...\text{ }, $ then $n$ =

In a moving coil galvanometer, to make the field radial

In a boolean algebra $B$ with respect to $' +' $ and $'.',$ $ x' $ denotes the negation of $ x\in B $ . Then

A particle is executing linear simple harmonic motion. The fraction of the total energy that is potential, when its displacement is $ \frac{1}{4} $ of the amplitude is

Electric flux emanating through a surface element $ \overrightarrow{ds}=5\hat{i} $ placed in an electric field $ \vec{E}=4\hat{i}+4\hat{j}+4\hat{k} $ is

Energy stored per unit volume of a parallel plate capacitor having plate area $A$ and plate separation d when charged to a potential of $V$ volts is (air space in between the plates)

The molar mass of the solute sodium hydroxide obtained from the measurement of the osmotic pressure of its aqueous solution at $27^{\circ} C$ is $25 \,g \,mol ^{-1}$. Therefore, its ionization percentage in this solution is

The percentage of carbon in cast iron is