List of top Questions asked in KEAM

The reagent that can be used to distinguish between methanoic acid and ethanoic acid is:

The shape of cuprammonium ion is

In the circuit given in figure, 1 and 2 are ammeters. Just after key K is pressed to complete the circuit, the reading will be

The vectors of magnitude $a, 2a, 3a $ meet at a point and their directions are along the diagonals of three adjacent faces of a cube. Then, the magnitude of their resultant 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

If $^{n}C_{r-1}=28$, $^{n}C_{r}=56$ and $^{n}C_{r+1}=70$, then the value of $r$ is equal to

The number of words that can be formed by using all the letters of the word $PROBLEM$ only one is

How many four digit numbers $abcd$ exist such that $a$ is odd, $b$ is divisible by $3$, $c$ is even and $d$ is prime?

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

$ {{(C{{H}_{3}})}_{3}}CMgCl $ on reaction with $ {{D}_{2}}O $ produces

The amount of solute (molar mass $ 60\text{ }g\text{ }mo{{l}^{-1}} $ ) that must be added to $180\, g$ of water so that the vapour pressure of water is lowered by $10\%$, is

The ratio of the respective de Broglie wavelengths associated with electrons accelerated from rest with the voltages 100 V, 200 V and 300 V is

The $100^{th}$ term of the sequence $1, 2, 2, 3, 3, 3, 4, 4, 4, 4, \dots$, is

Suppose $a, b$ and $c$ are real numbers such that $ \frac{a}{b}>1 $ and $ \frac{a}{c}<0 $ . Which one of the following is true?

If $ {{x}^{y}}.{{y}^{x}}=16, $ then $ \frac{dy}{dx} $ at (2, 2) is

If $\begin{pmatrix}2x+y&x+y\\ p-q&p+q\end{pmatrix}=\begin{pmatrix}1&1\\ 0&0\end{pmatrix}$ , then $(x, y, p, q) $ equals

A bullet when fired into a target loses half of its velocity after penetrating $20\, cm$. Further distance of penetration before it comes to rest is

Chronic chloroform exposure may cause damage to liver and kidney, due to the formation of

If $r$ is a real number such that $ |r| < 1 $ and if $ a=5(1-r), $ then

An object, moving with velocity $5\,m / s$, undergoes an acceleration of $1\,m / s ^{2}$ at time $t=0 .$ If the object has a mass of $1\,kg$, the kinetic energy ( KE) of the object at time $t=5\, s$ is

If $C_{0}$, $C_{1}$, $C_{2}$, $C_{3}$, $\cdots$ are binomial coefficients in the expansion of $(1 + x)^n$, then $\frac{C_{0}}{3}- \frac{C_{1}}{4}+ \frac{C_{2}}{5}- \frac{C_{3}}{6}+ \cdots$ is equal to

The coefficient of $ {{a}^{5}}{{b}^{6}}{{c}^{7}} $ in the expansion of $ {{(bc+ca+ab)}^{9}} $ is

If $ A=\left[ \begin{matrix} 1 & 2 \\ 3 & 5 \\ \end{matrix} \right], $ then the value of the determinant $ |{{A}^{2009}}-5{{A}^{2008}}| $ is