List of top Questions asked in KEAM

For any two statements $p$ and $q$, the statement $\sim\left(p \vee q\right) \vee \left(\sim p \wedge q\right)$ the is equivalent to

The equation of the tangent to the curve $ y={{(1+x)}^{y}}+{{\sin }^{-1}}({{\sin }^{2}}x) $ at $ x=0 $ is:

Two distinct numbers $x$ and $y$ are chosen from $1,2,3,4,5$. The probability that the arithmetic mean of $x$ and $y$ is an integer is

The area of the plane region bounded by the curve $ x={{y}^{2}}-2 $ and the line $ y=-x $ is (in square units)

The chord joining the points $(5, 5)$ and $(11, 227)$ on the curve $y =3x^{2}-11x-15$ is parallel to tangent at a point on the curve. Then the abscissa of the point is

If $\begin{bmatrix}1&x&1\end{bmatrix} \begin{bmatrix}1&3&2\\ 2&5&1\\ 15&3&2\end{bmatrix}\begin{bmatrix}1\\ 2\\ x\end{bmatrix} = 0 $, then x can be

Equation of the plane passing through the intersection of the planes $ x+y+z=6 $ and $ 2x+3y+4z+5=0 $ and the point $(1, 1, 1)$ is

If $a = e^{i \theta}$ , then $\frac{1 + a}{1-a}$ is equal to

If $ y={{\sin }^{-1}}\sqrt{1-x}, $ then $ \frac{dy}{dx} $ is equal to

If $A = \begin{pmatrix}1&0\\ 1&1\end{pmatrix}$ , then $A^n + nI$ is equal to

An insoluble dye is reduced to a soluble colourless leuco form by an alkaline reducing agent. The fibre is soaked in the dye solution and then exposed to air to develop the colour. The dye is

The reaction of $H_2$ is given below $H_2 + CO + R - CH = CH_2 \to R - CH_2 - CH_2 - CHO$ is specifically called as

The correct increasing order of the acid strength of benzoic acid $(I), 4$ -nitrobenzoic acid $(II), 3,4$ -dinitrobenzoic acid(III) and $4$-methoxybenzoic acid $(IV)$ is

In the Hofmann rearrangement of primary amides having optically active group with S-configuration, the product amine has

If the kinetic energy of the particle is increased to $16$ times its previous value, the percentage change in the de Broglie wavelength of the particle is

An element 'X' belongs to fourth period and fifteenth group of the Periodic Table. Which one of the following is true ?

At $ 500 \,K $ , the half-life period of a gaseous reaction at an initial pressure of $ 80\, kPa $ is $ 350 \,s $ . When the pressure is $ 40 \,kPa $ , the half-life period is $ 175 \,s $ . The order of the reaction is

The $\alpha$- and $\beta$- forms of glucose are

Identify the product/s in the following reaction. $ 3C{{H}_{3}}CH=C{{H}_{2}}\xrightarrow[{}]{B{{H}_{3}}}X\xrightarrow[{}]{{{H}_{2}}{{O}_{2}}/O{{H}^{-}}} $ $ product/s+{{H}_{3}}B{{O}_{3}} $

Air at sea level is dense. This is a practical implimentation of:

The partial pressure of oxygen in the alveolar air is:

Sodium peroxide which is a yellow solid, when exposed to air becomes white due to the formation of

A compound ?A?with molecular formula CHO gives a positive 2, 4 DNP test but a negative Tollen?s test. On treatment with sodium hypochlorite, it gives CHCl and compound ?B?. Compound ?B? is

Chlorination of benzene in the presence of halogen carrier is an example of

The order of reaction is decided by