List of top Questions asked in KEAM

In the reaction,$2KMnO_4 + 16 HCl \rightarrow 5Cl_2 + 2MnCl_2 + 2KCl+8H_2O $ reduction product is

For a first order reaction the rate constant is 6.909 $min^{-1}$. The time taken for 75% conversion in minutes is

A car starts from rest and accelerates uniformly to a speed of $180\,km/h$ in $10\,s$. The distance covered by the car in this time interval is

Freon-12 is manufactured from tetrachloromethane by

An electric buib rated 220 V, 100 W is connected in series with another bulb rated 220 V, 60 W. If the voltage across the combination is 220 V, the power consumed by the 100 W bulb will be about

An $LCR$ series $AC$ circuit is at resonance with $10\, V$ each across $L, C$ and $R$. If the resistance is halved, the respective voltages across $L, C$ and $R$ are

An organic compound with the molecular formula $C_8H_8O$ forms $2,4-DNP$ derivative, reduces Tollen?s reagent and undergoes Cannizzaro reaction. On vigorous oxidation, it gives $1,2$-benzene dicarboxylic acid. The organic compound is

Substance which is weakly repelled by a magnetic field is

The amplitude of SHM $ y=2(\sin 5\pi t+\sqrt{2}\cos \pi t) $ is

At $ 25{}^\circ C, $ at 5% aqueous solution of glucose (molecular weight $ =180\,g\,mo{{l}^{-1}} $ ) is isotonic with a 2% aqueous solution containing and unknown solute. What is the molecular weight of the unknown solute?

The total revenue in rupees received from the sale of x units of a product is given by $ R(x)=13{{x}^{2}}+26x+15 $ . Then, the marginal revolution rupees, when $ x=15 $ is

If $x=5+2$ sec $\theta$ and $y=5+2\, \tan \, \theta ,$ then $\left(x-5\right)^{2}-\left(y-5\right)^{2}$ is equal to

The order of the differential equation $\left(\frac{d^{3}\, y }{dx^{3}}\right)^{2} + \left(\frac{d^{2}\,y}{dx}\right)^{2} + \left(\frac{dy}{dx}\right)^{5} = 0 $ is

Let $O$ be the origin and $A$ be the point $(64, 0).$ If $P$, $Q$ divide $OA$ in the ratio $1 : 2 : 3$ , then the point $P$ is

There are $10$ persons including $3$ ladies. A committee of $4$ persons including at least one lady is to be formed. The number of ways of forming such a committee is

The image of the interval [-1, 3] under the mapping $f : R\rightarrow R$ given by $f \left(x\right)=4x^{3}-12x$ is

If $ \overrightarrow{a},\text{ }\overrightarrow{b},\text{ }\overrightarrow{c} $ are non-coplanar and $ (\overrightarrow{a}+\lambda \overrightarrow{b}).[(\overrightarrow{b}+3\overrightarrow{c})\times (\overrightarrow{c}\times 4\overrightarrow{a})]=0, $ then the value of $ \lambda $ is equal to

If $ x={{\sin }^{-1}}(3t-4{{t}^{3}}) $ and $ y={{\cos }^{-1}}(\sqrt{1-{{t}^{2}}}), $ then $ \frac{dy}{dx} $ is equal to

If $A$ and $B$ are square matrices of the same order and if $A=A^{T},B=B^{T},$ then $\left(ABA\right)^{T}=$

The domain of the function $f\left(x\right) = sin^{-1}\left(\frac{x+5}{2}\right)$ is

If $ l,m $ and $ n $ are real numbers such that $ {{l}^{2}}+{{m}^{2}} $ $ +{{n}^{2}}=0, $ then $ \left| \begin{matrix} 1+{{l}^{2}} & lm & ln \\ lm & 1+{{m}^{2}} & mn \\ ln & mn & 1+{{n}^{2}} \\ \end{matrix} \right| $ is equal to

The general solution of the differential equation $(x + y + 3) \,\frac{dy}{dx}\, =\,1$ is

The set $\{(x, y) : x + y =1\}$ in the $xy$ plane represents

If $p :$ It is snowing, $q :$ I am cold, then the compound statement "It is snowing and it is not that I am cold" is given by

If sin $\left(\theta-\phi\right) = n \, sin (\theta - \phi),n \ne1,$ then the value of $\frac{\tan\theta}{\tan\phi}$ is equal to