List of top Questions asked in KEAM- 2025

$\int_{-\log 3}^{+\log 3} e^{|x|} dx = $ ________.

Let $\vec{OA}=2\hat{i}+3\hat{j}-5\hat{k}$, $\vec{OB}=3\hat{i}+\hat{j}-2\hat{k}$, $\vec{OC}=6\hat{i}-5\hat{j}+7\hat{k}$ be position vectors of A, B and C. Then ________.

If \([x]\) denotes the greatest integer less than or equal to \(x\), then \[ \lim_{x\to 0^-}\frac{\sin([x])}{[x]} \] is equal to ________.

If $f(x)=\sin(|x|)-|x|,x\in\mathbb{R}$, then $f$ is ________.

Find the mean deviation about the mean for the following data: $X: 2, 4, 6, 8, 10$ with frequencies $f: 7, 4, 5, 4, 5$.

Let $\vec{a}=\hat{i}+2\hat{j}+4\hat{k}$, $\vec{b}=2\hat{i}+4\hat{j}+8\hat{k}$ and $\vec{c}=2\hat{i}+4\hat{j}+3\hat{k}$. Then $(\vec{a}\times\vec{b})\cdot\vec{c}=$ ________.

Let $\vec{AB}=2\hat{i}+10\hat{j}+11\hat{k}$ and $\vec{AC}=-\hat{i}+2\hat{j}+2\hat{k}$. If $\theta$ is the angle between $\vec{AB}$ and $\vec{AC}$, then $\sin\theta=$ ________.

Let $A=\begin{pmatrix}0& 2\\ 3& 4\end{pmatrix}$ and $I=\begin{pmatrix}1& 0\\ 0& 1\end{pmatrix}$. If $(I+A)\begin{pmatrix}4&-3\\ 2&-1\end{pmatrix}=\begin{pmatrix}8&-5\\ 22& x\end{pmatrix}$, then the value of $x$ is equal to ________.

If $|\begin{matrix}1& 0& 0\\ x& x+2& 0\\ x^{2}& x& x+3\end{matrix}|=0$, then values of $x$ are ________.

The base that is not present in DNA is ________.

The amine with the highest $pK_{b}$ value is ________.

Benzoyl chloride can be converted to benzaldehyde by ________.

When propanone is treated with $Zn/Hg$ and Conc. HCl, propane is formed. This reaction is known as ________.

Propene on hydroboration-oxidation gives ________.

Which of the following compounds contains two primary alcoholic and one secondary alcoholic groups? ________.

When chlorobenzene is treated with $Cl_{2}$ in the presence of anhydrous $FeCl_{3}$ catalyst, it gives a mixture of 1,2-dichlorobenzene and 1,4-dichlorobenzene. This is an example of ________.

The solvent used in Wurtz reaction is ________.

Which of the following finely divided metals can be used as catalyst in the hydrogenation of alkenes and alkynes? (i) Pt (ii) Fe (iii) Ni (iv) Pd

The empirical formula of an organic compound is $CH_{2}$. The molar mass of the compound is $56g~mol^{-1}$. The organic compound is ________.

Which one of the following is an ambidentate ligand? ________.

Which of the following complex has the least conductivity? ________.

The transition metal with the highest melting point is ________.

The transition metal ion with the highest magnetic moment is ________.

Which of the following is a basic oxide? ________.

Acidified potassium dichromate cannot oxidize ________.