List of practice Questions

If $X$ and $Y$ are $ 2\times 2 $ matrices such that $ 2X+3Y=O $ and $ X+2Y=I, $ where $ O $ and $ I $ denote the $ 2\times 2 $ zero matrix and the $ 2\times 2 $ identity matrix, then $X$ is equal to

If $ f\,(x)=\underset{y\to x}{\mathop{lim}}\,\,\frac{{{\sin }^{2}}y-{{\sin }^{2}}x}{{{y}^{2}}-{{x}^{2}}}, $ then $ \int{4x\,\,f(x)\,\,dx} $ =

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.

Alzheimer disease in humans is associated with the deficiency of

The given figure shows a diagrammatic sketch of a portion of human male reproductive system. Identify the parts labelled as $A$, $B$, $C$ and $D$ and select the correct option.

In the reaction $BrO _{3}^{-}( aq )+5 Br ^{-}( aq )+6 H ^{+} \rightarrow 3 Br _{2}(l)+3 H _{2} O (l)$ The rate of appearance of bromine $\left( Br _{2}\right)$ is related to rate of disappearance of bromide ions as following

Two rods of same area of cross section and lengths, and conductivities $K_1$ and $K_2$ are connected in series. Then, in steady state conductivity of the combination is

If the Earth shrinks in its size (radius) mass remaining the same, the value of g on its surface will

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 $n$ =